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Least squares fitting for the physical sciences.
Suitable for 4th or 5th year student.
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15 pages of notes written using a professional PDF writer, producing high quality.
There is theory, proofs and examples giving ...
15 pages of notes written using a professional PDF writer, producing high quality.
There is theory, proofs and examples giving a good understanding of the topic for the reader.
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Introduction
1.1 Digital Watermarking
Watermarking techniques are usually preferred for copyright ownership declaration, creator/authorship declaration, copyright violation detection (fingerprinting function), copyright violation deterrence, copy control, media authentication, and media data integrity functions. They are also devised for variety of media viz., text, digital audio, digital image and digital video.
1.2 Spread Spectrum (SS) Watermarking
1.2.1 Spread Spectrum
Spread Spectrum techniques for watermarking purposes have aroused a lot of interest in today because of it’s using in Steganography. Generally the message use to watermark is a narrow band signal compared to the wide band of the cover image. Spread spectrum techniques applied to the message allow the frequency bands to be matched before transmitting the message (Watermark) through the covert channel (image). Furthermore, high frequencies are relevant for the invisibility of the watermarked message but are inefficient as far as robustness is concerned, whereas low frequencies are of interest with regards to robustness but are useless because of the
unacceptable visible impact. Spread spectrum can reconcile these conflicting points by allowing a low energy signal to be embedded in each one of the frequency bands. Spread spectrum techniques also offer the possibility of protecting the watermark privacy using a secret key to control a pseudo noise generator.
1.2.2 Mathematical form of SS Watermarking encoding and Decoding
Cox proposed a watermarking scheme that is based on the spread spectrum (SS) communication .In this scheme, the discrete cosine transform (DCT) is performed on a whole image and then the watermark is embedded in a predetermined range of low frequency components as shown in Figure 2.1. The embedded watermark signal consists of a sequence of real numbers that are normally distributed and it is scaled according to the signal strength of the frequency components. It is a simple watermarking scheme with perceptual weighting consideration.
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This PDF consists of mathematical explanations, following the IB Math HL syllabus - topic 1 (algebra).
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Organized table of causes for Stalin's great terror. Reliable source.
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It is solution of jee main exam 2013
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You will not find detailed note on Experimental Economics like this. If you are a graduate or an undergraduate who ...
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If you wan to stay on top of competition in your economic research and exams, this note (1st of 3-part ...
If you wan to stay on top of competition in your economic research and exams, this note (1st of 3-part series) will help you.
List of Contents:
1. Discrete Choice Models
2. Estimation of Random Utility Discrete Choice Models
3. Implications of Assumptions on Error Term
4. Models with Correlations Across Consumer Tastes
5. Models with Correlations Across Consumer Tastes
6. Instrumental Variables
7. Generalized Method of Moments
8. Simulation of Market Shares
9. Esimation of Supply Side
10. Firm Behavior with Multi-Product Firms
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Practice past paper on Econometrics final exam 2010 from University of Warwick. Suitable for graduates.
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Suitable for economics graduates. Past paper from University of Warwick. Subject: Econometrics. Year: May 2010.
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This notes has Basic formula in Units of Measurement, Decimals, Fractions, Statistics and Geometry.
Course: Basic Formulae for Primary students
Author : ...
This notes has Basic formula in Units of Measurement, Decimals, Fractions, Statistics and Geometry.
Course: Basic Formulae for Primary students
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This notes has basic formula in Units of Measurement, Fractions, Decimals, Statistics, Geometry and Probability.
Course: Basic Maths formulae for Primary ...
This notes has basic formula in Units of Measurement, Fractions, Decimals, Statistics, Geometry and Probability.
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Level: 2nd year animal biology
Amniote diversity, reproduction, feeding, hearing, circulation and metabolism
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physics note helps you learn the basics of physics
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I used exactly these notes and past papers and ended up getting 98% in my mathematics IGCSE. They provide a ...
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I used exactly these notes and past papers and ended up getting 98% in my mathematics IGCSE. They provide a ...
I used exactly these notes and past papers and ended up getting 98% in my mathematics IGCSE. They provide a summary of key areas you need to know for the examination and with practise (because mathematics is all about practise) you will be on a good way of getting the highest grade you can. They include diagrams, questions and brief notes.
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Key point areas of Core Mathematics 1 examination, including diagrams, notes and formulae needed. Used this and got 92% in ...
Key point areas of Core Mathematics 1 examination, including diagrams, notes and formulae needed. Used this and got 92% in my Exam in 2014.
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Key point areas of Core Mathematics 2 examination, including diagrams, notes and formulae needed. Used this and got 99% in ...
Key point areas of Core Mathematics 2 examination, including diagrams, notes and formulae needed. Used this and got 99% in my Exam in 2014.
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Key point areas of Mechanics 1 examination, including diagrams, notes and formulae needed. Used this and got 89% in my ...
Key point areas of Mechanics 1 examination, including diagrams, notes and formulae needed. Used this and got 89% in my Exam in 2014.
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Key point areas of Mechanics 1 examination, including diagrams, notes and formulae needed. Used this and got 89% in my ...
Key point areas of Mechanics 1 examination, including diagrams, notes and formulae needed. Used this and got 89% in my Exam in 2014.
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This notes is for GCE Olevel Singapore Mathematics Notes
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Notes on section 5.1 of the textbook Discrete Mathematics with Graph Theory
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This note is to help you learn the patterns to patterns.
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20 questions about dividing decimals
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a brief description of the "percent of" équations including 5 questions plus more
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It describes about
->dynamic environment about historical faces
->world poverty and income inequality
->bussiness environment
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It describes about
->dynamic environment about historical faces
->world poverty and income inequality
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->bussiness power
->spheres of corporate power
->Roles of government
->why do governments fail?
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Help for those in need of Algebra 1 or I basics.
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Have well detailed notes on various on computer science with units such as data structures and algorithms, object oriented programming, ...
Have well detailed notes on various on computer science with units such as data structures and algorithms, object oriented programming, databases, internet application programming, system designs...
mathematics note like calculus 1,2,3,4 ; algebra, number theory, descrete maths, statistics etc
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just a simple practice for equations
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These ae lavendres recurrence relation
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This is my OCR MEI Core 3 Mathematics coursework.This is the completed version and I scored 18/18 when I submitted ...
This is my OCR MEI Core 3 Mathematics coursework.This is the completed version and I scored 18/18 when I submitted this,which was in 2013.Please use as a reference guide only.
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On one side of the card it says:
Notes belonging to an awesome person!
Answer: (space for answer)
...
On one side of the card it says:
Notes belonging to an awesome person!
Answer: (space for answer)
These are cool for learning anything!
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All of Edexcel IGCSE Mathematics Higher Tier Past Papers and Mark Schemes
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2 pictures, one clearly labelled
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Have you ever had problems with Adjusted Trial Balance:
Here i have uploaded a very detailed document about Adjusted Trial Balance ...
Have you ever had problems with Adjusted Trial Balance:
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This document can be used for educational purpose.
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All-In-One Page Notes
Revision notes made for the Statistic 1 Edexcel A-Level module (content will overlap with most statistic modules).
I've personally ...
All-In-One Page Notes
Revision notes made for the Statistic 1 Edexcel A-Level module (content will overlap with most statistic modules).
I've personally condensed the entire module into a clear and detailed overview all on only one page! It contains all the necessary content for that A*. Happy revising :)
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All-In-One Page Notes
Revision notes made for the Further Pure 2 Edexcel A-Level module (content will overlap with most pure modules). ...
All-In-One Page Notes
Revision notes made for the Further Pure 2 Edexcel A-Level module (content will overlap with most pure modules). I've personally condensed the entire module into a clear and detailed overview all on only one page! It contains all the necessary content for that A*. Happy revising :)
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All-In-One Page Notes
Revision notes made for the Further Pure 3 Edexcel A-Level module (content will overlap with most pure modules). ...
All-In-One Page Notes
Revision notes made for the Further Pure 3 Edexcel A-Level module (content will overlap with most pure modules). I've personally condensed the entire module into a clear and detailed overview all on only one page! It contains all the necessary content for that A*. Happy revising :)
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All-In-One Page Notes
Revision notes made for the Statistics 2 Edexcel A-Level module (content will overlap with most statistics modules). ...
All-In-One Page Notes
Revision notes made for the Statistics 2 Edexcel A-Level module (content will overlap with most statistics modules). I've personally condensed the entire module into a clear and detailed overview all on only one page! It contains all the necessary content for that A*. Happy revising :)
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All-In-One Page Notes
Revision notes made for the Statistic 3 Edexcel A-Level module (content will overlap with most statistic modules). ...
All-In-One Page Notes
Revision notes made for the Statistic 3 Edexcel A-Level module (content will overlap with most statistic modules). I've personally condensed the entire module into a clear and detailed overview all on only one page! It contains all the necessary content for that A*. Happy revising :)
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This document contains detailed description of Modal Logic with solved exercises. This discussion is for all BS level students who ...
This document contains detailed description of Modal Logic with solved exercises. This discussion is for all BS level students who study implementation of logic in computer sciences. It contains the topics which are listed below:
• Modal Logics and Agents
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• The modal logic KT45n
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Third year biomechanics notes, including motion analysis, inverse dynamics, work, power, SSC, coordination, stiffness, barefoot running, paralympic athletes and models ...
Third year biomechanics notes, including motion analysis, inverse dynamics, work, power, SSC, coordination, stiffness, barefoot running, paralympic athletes and models of performance
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Best way to take admission in uet
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Easy way to solve percent problem
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Present value, Future value, Annuity, ROI, assets turnover, quick ratio, P/E ratio, M/B ratio, debt ratio, cash ratio, equity ...
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Present value, Future value, Annuity, ROI, assets turnover, quick ratio, P/E ratio, M/B ratio, debt ratio, cash ratio, equity multiplies ...
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Detailed explained of SQL statements. How to create, delete and alter tables are all included in the PDF.
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the notes contain a lecture notes about Quantifiers MIT lecture
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the notes contain a lecture about sets
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Currency (USD, GBP, EUR); Areas and perimeters of shapes; Equations; etc.
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The problems on these notes come from MyMathLab (Section 18.1). This course was taken at El Camino College with Mr. ...
The problems on these notes come from MyMathLab (Section 18.1). This course was taken at El Camino College with Mr. Villalobos for Math 37, which is a hybrid class consisting of Basic Arithmetic, Pre-Algebra, and Elementary Algebra.
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you can check your stand in chemistry by this notes .
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It's Birkhauser Inequalities A Mathematical Olympiad Approach , A Very Good Book Of Mathematics To Prepare For Exams .
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Brief explanation of specific areas in Mathematics.
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Brief explanation of specific areas in Math.
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These notes aims at clarifying the concepts of normalization. Normalization is one of the tricky concepts of Database management system. ...
These notes aims at clarifying the concepts of normalization. Normalization is one of the tricky concepts of Database management system. These notes carry to the point information rather than beating around the bush
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Aimed for college freshmen. For important preferences in certain areas of Mathematics.
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I have designed these notes for such a level which is very much suitable for 1st year to 4th year.It ...
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It is simple base note of complex fourier series with solved examples .
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These notes contain well discription of laplace transform and solved examples of laplace of various elementary functions.
It also contains expotential ...
These notes contain well discription of laplace transform and solved examples of laplace of various elementary functions.
It also contains expotential order and laplace of piece wise continuous functions.
Two main properties of laplace transform are also given with definition.
1)Property of linearity.
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Part-2 Of CBSE MATHS SAMPLE PAPER
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Some key phrases and what they mean in terms of the exam for C1 and C2 modules of A level ...
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Properties of real numbers.
Good for high school students
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- Type of Users & Their Needs
- Ratios Used to Analysed Report & What They Mean
- Advantages and Limitations of ...
- Type of Users & Their Needs
- Ratios Used to Analysed Report & What They Mean
- Advantages and Limitations of Ratios
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C++ program to find out SI and CI by giving the option
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define finance notes and classification of markets as well as present value and future value formulas with equations
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These notes has everything you need to know about absolute values for addition, subtraction, multiplication, and division.
It also has ...
These notes has everything you need to know about absolute values for addition, subtraction, multiplication, and division.
It also has questions for you to answers and the answers for you to look over
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Vector Valued Functions and Curves in Space
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15.1 Vector Fields 992
15.2 Line Integrals 1005
15.3 The Fundamental Theorem of
Line Integrals 1016
15.4 Green’s Theorem 1022
15.5 Surface Integrals 1030
15.6 Integrals ...
15.1 Vector Fields 992
15.2 Line Integrals 1005
15.3 The Fundamental Theorem of
Line Integrals 1016
15.4 Green’s Theorem 1022
15.5 Surface Integrals 1030
15.6 Integrals over Oriented Surfaces 1036
15.7 Stokes’s Theorem 1047
15.8 The Divergence Theorem 1055
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A tryout - it's in danish, sorry
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This is the best IIT 2016 practice paper. Being an IITian , I was able to get this paper after ...
This is the best IIT 2016 practice paper. Being an IITian , I was able to get this paper after lot of risks from IItian Professors who are in charge of making IIT papers. This is the sample paper which IITian prof. follow. They make 10 papers of these kind and randomly select qns. from all these papers for IIT.
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A 20 page midterm review for macroeconomics. Scored a 98% on the midterm. Extensive, but written in note form - ...
A 20 page midterm review for macroeconomics. Scored a 98% on the midterm. Extensive, but written in note form - not paragraph form.
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21 page comprehensive notes for macroeconomics, extensive and written in reader-friendly way. Not extensive paragraph form. Scored a 93% ...
21 page comprehensive notes for macroeconomics, extensive and written in reader-friendly way. Not extensive paragraph form. Scored a 93% on the final.
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10 Secret Trig Functions Your Math Teachers Never Taught You
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This note will be useful for post graduate students with specialization in abstract algebra especially for final years. This note ...
This note will be useful for post graduate students with specialization in abstract algebra especially for final years. This note aims at the study of semiderivations in semirings.
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These notes can be helpful for someone taking a pre-calculus or calculus course. In this document, you will see the ...
These notes can be helpful for someone taking a pre-calculus or calculus course. In this document, you will see the difference between vertical and horizontal shifts in regard to functions. Also, you will see what makes a function reflect over the x axis or the y axis.
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These notes will benefit someone taking a pre-calculus or calculus course. In these notes, you will see how to combine ...
These notes will benefit someone taking a pre-calculus or calculus course. In these notes, you will see how to combine two different functions. Also, you will see how to find the domain after combining two functions.
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Sample problem for Statistics with solutions
for Gr. 10
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Sample Research proposal for anyone!
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Study guide covers RNA,DNA, and Chromosomes
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you will have all based to top details in my notes and able to score great marks with it
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math notes for fsc notes ch#3 ex#3.1
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contains OCR (non-mei) concise notes for units C3, C4, M2, M3, S2, FP2. total 9 pages.
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Solving partial differential equations using Power Series method.
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**INCLUDES:
-Gathering & Exploring Data
-Probability
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-Sampling Distributions
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ABOUT THE METHODS OF VEDIC MATHS
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This will help know how to share/split an amount using ratio.
suitable from ages 11+
Teacher : Mrs Eves
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These are notes on everything in probability.
Contents
1 Basic ideas 1
1.1 Sample space, events . . . . . . . ...
These are notes on everything in probability.
Contents
1 Basic ideas 1
1.1 Sample space, events . . . . . . . . . . . . . . . . . . . . . . . . 1
1.2 What is probability? . . . . . . . . . . . . . . . . . . . . . . . . . 3
1.3 Kolmogorov’s Axioms . . . . . . . . . . . . . . . . . . . . . . . 3
1.4 Proving things from the axioms . . . . . . . . . . . . . . . . . . . 4
1.5 Inclusion-Exclusion Principle . . . . . . . . . . . . . . . . . . . . 6
1.6 Other results about sets . . . . . . . . . . . . . . . . . . . . . . . 7
1.7 Sampling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
1.8 Stopping rules . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
1.9 Questionnaire results . . . . . . . . . . . . . . . . . . . . . . . . 13
1.10 Independence . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
1.11 Mutual independence . . . . . . . . . . . . . . . . . . . . . . . . 16
1.12 Properties of independence . . . . . . . . . . . . . . . . . . . . . 17
1.13 Worked examples . . . . . . . . . . . . . . . . . . . . . . . . . . 20
2 Conditional probability 23
2.1 What is conditional probability? . . . . . . . . . . . . . . . . . . 23
2.2 Genetics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
2.3 The Theorem of Total Probability . . . . . . . . . . . . . . . . . 26
2.4 Sampling revisited . . . . . . . . . . . . . . . . . . . . . . . . . 28
2.5 Bayes’ Theorem . . . . . . . . . . . . . . . . . . . . . . . . . . . 29
2.6 Iterated conditional probability . . . . . . . . . . . . . . . . . . . 31
2.7 Worked examples . . . . . . . . . . . . . . . . . . . . . . . . . . 34
3 Random variables 39
3.1 What are random variables? . . . . . . . . . . . . . . . . . . . . 39
3.2 Probability mass function . . . . . . . . . . . . . . . . . . . . . . 40
3.3 Expected value and variance . . . . . . . . . . . . . . . . . . . . 41
3.4 Joint p.m.f. of two random variables . . . . . . . . . . . . . . . . 43
3.5 Some discrete random variables . . . . . . . . . . . . . . . . . . 47
3.6 Continuous random variables . . . . . . . . . . . . . . . . . . . . 55
vii
viii CONTENTS
3.7 Median, quartiles, percentiles . . . . . . . . . . . . . . . . . . . . 57
3.8 Some continuous random variables . . . . . . . . . . . . . . . . . 58
3.9 On using tables . . . . . . . . . . . . . . . . . . . . . . . . . . . 61
3.10 Worked examples . . . . . . . . . . . . . . . . . . . . . . . . . . 63
4 More on joint distribution 67
4.1 Covariance and correlation . . . . . . . . . . . . . . . . . . . . . 67
4.2 Conditional random variables . . . . . . . . . . . . . . . . . . . . 70
4.3 Joint distribution of continuous r.v.s . . . . . . . . . . . . . . . . 73
4.4 Transformation of random variables . . . . . . . . . . . . . . . . 74
4.5 Worked examples . . . . . . . . . . . . . . . . . . . . . . . . . . 77
A Mathematical notation 79
B Probability and random variables 83
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This novel is about the story of an invisible man who want money to want to proceed his experiments .but ...
This novel is about the story of an invisible man who want money to want to proceed his experiments .but at last he become so greedy that he stole money from his own house.
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The novel is about the story of the invisible man who need money for his experiments . But a last ...
The novel is about the story of the invisible man who need money for his experiments . But a last he becomes so greedy that he has stolen money from his own house.
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Predictability of Stock Index Returns with Financial Ratios. Subject: FTSE 250
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solution for some calculus question
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Notes I took in a Statistics Course on Probability
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From: Carlton Comprehensive High School
Description: The first page of my note in 8 strategies for evaluating limits. this includes examples, ...
From: Carlton Comprehensive High School
Description: The first page of my note in 8 strategies for evaluating limits. this includes examples, graphs, solutions and descriptions.
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From: Carlton Comprehensive High School Canada
Description: The page 2 of the 8 strategies of evaluating limits. This includes examples, graphs, ...
From: Carlton Comprehensive High School Canada
Description: The page 2 of the 8 strategies of evaluating limits. This includes examples, graphs, algebraic solutions and definitions.
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these notes are basically helpful for the students studying in class 5th upto masters level
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these notes are helpful for students studyin from 5th upto mba level
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2nd year sixth form coursework core 3 module
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2nd year sixth form coursework core 3 module
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2nd year sixth form coursework core 3 module
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2nd year sixth form coursework core 3 module
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students will definitely like them
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These notes were created to help Australian high school students with the Financial Mathematics strand of the General Mathematics course ...
These notes were created to help Australian high school students with the Financial Mathematics strand of the General Mathematics course for the Higher School Certificate.
They cover many aspects of financial mathematics that students from the UK and other countries will find extremely helpful in their own studies. The topics covered in this PDF are:
Earning and Managing Money
Social Security Payments
Age pension
Other social security payments
Superannuation
Budgeting
Investing Money
Simple interest
Compound interest
Investing in Shares
Taxation
Personal income tax
GST
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These notes were created to help Australian high school students with the Financial Mathematics strand of the General Mathematics course ...
These notes were created to help Australian high school students with the Financial Mathematics strand of the General Mathematics course for the Higher School Certificate.
However, as they cover many aspects of financial mathematics, students from the UK and other countries are sure to find them extremely helpful in their own studies. Just check the list of topics covered below against the topics you are studying.
The PDF includes clear discussion on each topic with appropriate worked examples. There are 4 pages at the end which summarises the key points in easily digestible bullet points.
The topics covered in this PDF are:
Review of Simple Interest & Compound Interest;
Credit Cards;
Reducing-balance loans;
Tables of loan repayments;
Daily Interest;
Comparing Loans;
Fixed vs Variable Interest Rate;
Annuities;
Loan Repayments;
Different Options with Loans;
Costs involved with Loans;
Tables of instalments;
Graphs comparing repayment options.
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These notes were created to help Australian high school students with the Financial Mathematics strand of the General Mathematics course ...
These notes were created to help Australian high school students with the Financial Mathematics strand of the General Mathematics course for the Higher School Certificate.
However, as they cover many aspects of financial mathematics, students from the UK and other countries are sure to find them extremely helpful in their own studies. Just check the list of topics covered below against the topics you are studying.
The PDF includes clear discussion on each topic with appropriate worked examples. There are 4 pages at the end which summarises the key points in easily digestible bullet points.
The topics covered in this PDF are:
Review of Simple Interest & Compound Interest;
Credit Cards;
Reducing-balance loans;
Tables of loan repayments;
Daily Interest;
Comparing Loans;
Fixed vs Variable Interest Rate;
Annuities; Loan Repayments;
Different Options with Loans;
Costs involved with Loans;
Tables of instalments;
Graphs comparing repayment options.
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These notes were created to help Australian high school students with the Financial Mathematics strand of the General Mathematics course ...
These notes were created to help Australian high school students with the Financial Mathematics strand of the General Mathematics course for the Higher School Certificate.
However, as they cover many aspects of financial mathematics, students from the UK and other countries are sure to find them extremely helpful in their own studies. Just check the list of topics covered below against the topics you are studying.
The PDF includes clear discussion on each topic with appropriate worked examples. There are 2 pages at the end which summarises the key points in easily digestible bullet points.
The topics covered in this PDF are:
Earning and Managing Money;
Social Security Payments;
Age Pensions;
Other social security payments;
Superannuation;
Budgeting;
Investing Money;
Simple interest;
Compound interest;
Investing in Shares;
Taxation;
Personal Income Tax;
Goods and Services Tax
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Everything you need to know about this module. Found in BSC Software engineering the notes covers everything you'll be accessed ...
Everything you need to know about this module. Found in BSC Software engineering the notes covers everything you'll be accessed on and everything you should know.
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Math Integration - integral table for all the maths students
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Math, Physics, Statics and dynamics all you need as Engineering student
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This note is about Sandwich Theorem which will help ypu to solve limits ( which couldn't be done easily).
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This is a quick guide to Number theory. It can be very useful for people who are studying number theory ...
This is a quick guide to Number theory. It can be very useful for people who are studying number theory for the first time and for people who need a quick recap before a test.
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A Guide For All People Which Includes All Subjects Of Quantum Physics Simplified For Them In A Nice Presentable Way ...
A Guide For All People Which Includes All Subjects Of Quantum Physics Simplified For Them In A Nice Presentable Way .
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this page is the first of many pages on different maths subjects. this page is designed for Year 8 (UK ...
this page is the first of many pages on different maths subjects. this page is designed for Year 8 (UK form) but keep buying...
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c'est un examen d'analyse avec sa correction
de l'ecole d'ingenieur insat
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these notes are taken from ap algebra 2. these are specifically for writing linear functions!
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Probability Formula Sheet include all the useful formula needed to solve problems related to probability and statistics.
if you want discount ...
Probability Formula Sheet include all the useful formula needed to solve problems related to probability and statistics.
if you want discount or format or custom changes in document or want to order any document or want to design your professional CV/Resume to get job fast please email me at harishassan1995@gmail.com
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Questions that will help you get that A+.
Solutions provided in Financial Management (Part 2- Answers)
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Guaranteed to get that A+ with these solutions to Financial Management (Part 1- Questions)
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Give an Introductory level theoretical background about wavelet transform which is very helpful for students to develop an understanding about ...
Give an Introductory level theoretical background about wavelet transform which is very helpful for students to develop an understanding about this topic
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These are my personal digital notes of mathematics formulas.
It is very useful for high school students. It also contains some ...
These are my personal digital notes of mathematics formulas.
It is very useful for high school students. It also contains some short tricks and advanced formulas to solve math problems. These notes will definitely help improve your math problem solving skills!
Topics covered: ALL high school math topics
Complete Algebra, Calculus, Analytical Geometry, Probability, Progression and series, Probability, Trigonometry, 3-D, Vector, Functions, Permutation and combination, binomial theorem, solution of triangle etc...
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These notes explain how algebra Works and shows you how to solve Equations (In the notes i only cover addition ...
These notes explain how algebra Works and shows you how to solve Equations (In the notes i only cover addition and subtraction, not division nor multiplication)
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Basic overview of the most important concepts, definitions, facts and lemmas of probability and statistic. Extra good for reviewing for ...
Basic overview of the most important concepts, definitions, facts and lemmas of probability and statistic. Extra good for reviewing for an exam.
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It's very helpful for new intermediate students.
£7.50
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Introduction to frame of reference, shows how to read the coordinate system, and shows how K and K' change (x) ...
Introduction to frame of reference, shows how to read the coordinate system, and shows how K and K' change (x) values for coordinate point as an object moves up and down.
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These revision books work in combination with Edexcel’s main GCSE Mathematics series.
The Revision Guides are designed for independent ...
These revision books work in combination with Edexcel’s main GCSE Mathematics series.
The Revision Guides are designed for independent or classroom study. The Revision Workbooks
use a write-in format to provide realistic exam practice.
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Challenging questions on coordinate geometry with answers and explanations.
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I. Numeric definition
II. Formal definition
III. Notation
IV. Properties
V. One sided limits
VI. Existence condition
VII. Continuity
VIII. Calculating limits
IX. Limits involving infinity
X. Limits ...
I. Numeric definition
II. Formal definition
III. Notation
IV. Properties
V. One sided limits
VI. Existence condition
VII. Continuity
VIII. Calculating limits
IX. Limits involving infinity
X. Limits at infinity
XI. Asymptotes
XII. The Squeeze Theorem
XIII. Fundamental limits
XIV. Intermediate value theorem
XV. Exponential and logarithmic Limits
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I. Numeric definition
II. Formal definition
III. Notation
IV. Properties
V. One sided limits
VI. Existence condition
VII. Continuity
VIII. Calculating limits
IX. ...
I. Numeric definition
II. Formal definition
III. Notation
IV. Properties
V. One sided limits
VI. Existence condition
VII. Continuity
VIII. Calculating limits
IX. Limits involving infinity
X. Limits at infinity
XI. Asymptotes
XII. The Squeeze Theorem
XIII. Fundamental limits
XIV. Intermediate value theorem
XV. Exponential and logarithmic Limits
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This note contains the "distance formula"(highlighted) for geometry. It also shows a step-by-step example on how to figure out a ...
This note contains the "distance formula"(highlighted) for geometry. It also shows a step-by-step example on how to figure out a missing point on a right triangle in three different ways. Has various vocabulary words and there definition. Enjoy!
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These study review notes are aimed for freshman and sophomores in high school and possibly junior is you are attending ...
These study review notes are aimed for freshman and sophomores in high school and possibly junior is you are attending these classes.
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Coordinate Geography notes for 9th to 11th grade. How to prove lines congruent, parallel, perpendicular or if they are bisecting ...
Coordinate Geography notes for 9th to 11th grade. How to prove lines congruent, parallel, perpendicular or if they are bisecting using different formulas.
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Coordinate Geometry notes for 9th-11th grade. These notes explain how to prove lines parallel, congruent, perpendicular, or if they bisect ...
Coordinate Geometry notes for 9th-11th grade. These notes explain how to prove lines parallel, congruent, perpendicular, or if they bisect using different formulas.
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If you love mathematics... Just download this note.. U will be happy with the simple method in algebra etc.. ...
If you love mathematics... Just download this note.. U will be happy with the simple method in algebra etc..
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Good luck... If you love secrets of mathematics just download this note
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This is intro for the probability theorie... All things about probability ( from low levels to high levels ) for ...
This is intro for the probability theorie... All things about probability ( from low levels to high levels ) for students in schools to colleges and master ... Good luck ( math lover ;) )
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Exercices to practicing at home .. ( from low levels to high ones ) students from schools to college goodluck ...
Exercices to practicing at home .. ( from low levels to high ones ) students from schools to college goodluck
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These are notes intended for A Level students following the AQA Further Mathematics Syllabus covering the first topic in Further ...
These are notes intended for A Level students following the AQA Further Mathematics Syllabus covering the first topic in Further Pure 1 a part of AS Further Mathematics. The topic is Algebra & Graphs
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Notes about calculating the interest and mark up and discount prices.
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this notes is based on the chapter of logarithm [ add maths] with full details and examples given
this notes ...
this notes is based on the chapter of logarithm [ add maths] with full details and examples given
this notes concern more the o level student
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This notes is based on the chapter logarithm for o level student.
In this notes the chapter is defined with full ...
This notes is based on the chapter logarithm for o level student.
In this notes the chapter is defined with full details and examples
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Simple highschool concepts of Trigonometry with examples for brain farts
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It includes vector algebra, gradient, level surface, del operator, divergence, curl, laplacian notation, integral calculus, surface integrals, volume integrals, fundamental ...
It includes vector algebra, gradient, level surface, del operator, divergence, curl, laplacian notation, integral calculus, surface integrals, volume integrals, fundamental theorem of calculus, fundamental theorem of gradient, divergence theorem, stokes' theorem, vectors expressed in curvilinear coordinates, divergence, gradient and curl in curvilinear coordinate system, helmholtz theorem.
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Detailed discussion of the measurement problem in physics and calculations using bra-ket notation
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Interference for First year engineering students.
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FRICTION, FLUID DYNAMICS, GASES, LATENT HEAT
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this is just a test. not a real note
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The Use of Financial Information
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First Order Differential Equation
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A compilation of formula for simple interest in the subject mathematics of investment. Easy to understand with a few example ...
A compilation of formula for simple interest in the subject mathematics of investment. Easy to understand with a few example problems and solutions.
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You can easily find the squares of numbers of any digit within seconds through my method.This will help you to ...
You can easily find the squares of numbers of any digit within seconds through my method.This will help you to crack any competitive exams.You can be an expert in finding squares through practice.I tried this and worked best for me ..
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You can easily find the squares of numbers of any digit within seconds.This will help you to crack any competitive ...
You can easily find the squares of numbers of any digit within seconds.This will help you to crack any competitive exams.You can be an expert in finding squares through practice.I tried this and worked best for me ..
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A note for c++ for enginring students
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Intro includes the basic structuring of courses.
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Used in College Algebra.
Steps to change an equation of a circle in General Form to Standard Form
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FINA 3313 -Mid 1 practice questions
Accounting and Finance
Time Value of Money
Come with TVM Formula
(80 questions)
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Solution for exercise question in Functions of One Complex Variable by John B. Conway
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for undergraduate students in Engineering or Applied Mathematics
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These notes cover the basic theory that needed to be known for highschool students for the courses of mathematics or ...
These notes cover the basic theory that needed to be known for highschool students for the courses of mathematics or physics as well as for college students for courses familliar with mechanics and generally they give a basic understanding of vectors for most courses. There are also 5 basic escercise also on these notes. They provide a basic understanding of vectors and their inner and outer products.
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These notes contain the basic theory of vectors and 5 basic excercises on vectors. They cover the theory of vectors ...
These notes contain the basic theory of vectors and 5 basic excercises on vectors. They cover the theory of vectors needed for high school and they are a good introduction to courses that need vectors such as physics or electrical engineering and many more simmilar at college.
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These note will help you:
-Practise the number facts regularly with your child Support them in the use of homework ...
These note will help you:
-Practise the number facts regularly with your child Support them in the use of homework diary and class notes
-Ensure that they check off answers with small tick and complete any corrections
-Support their organisation - pencil/rubber/ruler/jotters and a scientific calculator to class (Casio FX83GTPlus Scientific Calculator is best)
-Encourage their best presentation
-Ensure they attempt all questions
-Step-by-step, vertical working where possible Support the use of the common language and methodology
-Regular revision and use of online learning resources including GLOW
Time: Encourage your child to use a watch or clock to tell the time,
provide timed activities and read timetables
Calendars: Plan family birthdays on a calendar & do a birthday countdown.
Measure: Take advantage of measure opportunities in the kitchen; weighing, timing and temperature
Money: Talk about best deals with your child, budgeting pocket money or wages.
Estimating: plan for activities in advance like calculating the number of rolls of paper or paint required to decorate a room, the length of time activities may take.
Logical thinking: Ask your child to explain their thinking and consider consequences of actions. e.g. using the information gathered from reading newspapers, using the internet and watching TV to draw conclusions and make choices that involve numeracy.
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This is basic engineering notes and notes for higher class schooling students. It also contains IITJEE notes and question bank ...
This is basic engineering notes and notes for higher class schooling students. It also contains IITJEE notes and question bank
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L'Hopital's rule and Cauchy's mean value theorem. Well defined and proven. Clearly written notes, easy to understand.
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Introduction to Complex Numbers on the college level. Includes detailed examples of adding, subtracting, multiplying and dividing Complex Numbers. ...
Introduction to Complex Numbers on the college level. Includes detailed examples of adding, subtracting, multiplying and dividing Complex Numbers.
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Vivid examples of factoring, using the root method and using the quadratic equation.
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Common problem in cinamitics and differential equations, high school and university. A ball of given mass is thrown up vertically. ...
Common problem in cinamitics and differential equations, high school and university. A ball of given mass is thrown up vertically. The air resistance is quadratic in the velocity. Complete solution is described, with answers to the following questions:
*. What is the maximal height reached?
*. What is the time of reaching the maximal height, ie., stopping?
*. What is the terminal velocity?
*. What is the velocity as a function of time?
*. What is the position as a function of time?
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Lecture notes on Introduction to mobile computing
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50 pages of all kinds of formulas for used in the process operating industry. The collection includes formulas for machinery ...
50 pages of all kinds of formulas for used in the process operating industry. The collection includes formulas for machinery process, chemical process and electricity process. Moreover you will find notes, pictures, illustrations and examples of the formulas. I have made it very easy to look up the different formulas via a table of content.
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50 pages of all kinds of formulas for used in the process operating industry. The collection includes formulas for machinery ...
50 pages of all kinds of formulas for used in the process operating industry. The collection includes formulas for machinery process, chemical process and electricity process. Moreover you will find notes, pictures, illustrations and examples of the formulas. I have made it very easy to look up the different formulas via a table of content.
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To show how the method of moments determines an estimator, we first consider the case of one parameter. We
start with ...
To show how the method of moments determines an estimator, we first consider the case of one parameter. We
start with independent random variables X1,X2, . . . chosen according to the probability density fX(x|✓) associated
to an unknown parameter value ✓. The common mean of the Xi, μX, is a function k(✓) of ✓. For example, if the Xi
are continuous random variables, then
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Revision questions of functions and inverse trigonometric functions
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Revision of LIMITS, CONTINUITY & DERIVABILITY AND QUADRATIC EQUATION
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These are notes for Foundations of Algebra Unit 1.
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These are the Unit 1 notes for Foundations of Algebra.
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C2 Maths notes for edexcel, very detailed and helpful
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RULES FOR OPERATIONS OF SIGNED NUMBERS
Notes include-
Adding two signed numbers
Subtracting signed numbers
Multiplying signed numbers
Dividing signed numbers
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Partial Derivatives Simplified
f(x,y): fx(x,y) fy(x,y) fxx(x,y) fxy(x,y) ...
Partial Derivatives Simplified
f(x,y): fx(x,y) fy(x,y) fxx(x,y) fxy(x,y) fyx(x,y) fyy(x,y)
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This purposely for someone undertaking programming course in C language.The notes are well detailed and simple to understand.They have pictorial ...
This purposely for someone undertaking programming course in C language.The notes are well detailed and simple to understand.They have pictorial diagrams and worked out problems on C programming ,again for easier understanding of your course.I hope you will love this
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This note will help you understand about discrete structures and its significance.
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Following the Discrete Structure course. This is the second note giving brief of propositional logic. Complete notes are available with ...
Following the Discrete Structure course. This is the second note giving brief of propositional logic. Complete notes are available with practice problems.
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This note will explain propositional logic.
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This note covers topic on addition, subtraction, multiplication and addition of numbers in modular arithmetic.
It also covers solving of simple ...
This note covers topic on addition, subtraction, multiplication and addition of numbers in modular arithmetic.
It also covers solving of simple equations in modular arithmetic.
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This note covers the basic laws of indices. Many examples to apply the laws are also provided in this note.
Indices ...
This note covers the basic laws of indices. Many examples to apply the laws are also provided in this note.
Indices is very important since it is needed in solving many calculations in mathematics and other subject involving calculations.
It will be especially useful to 1st year beginners.
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Here we discuss the Significance and real meaning of Integration.
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This Differential Equations Semester Review Outline is an extremely helpful Supplemental Guide to use as an overview for a First ...
This Differential Equations Semester Review Outline is an extremely helpful Supplemental Guide to use as an overview for a First Year Differential Equation course and for preparing for tests. I created these Outlines to help my friends that would be taking the course in subsequent semesters. The Outlines cover all of the topics covered in my Differential Equations Course and include formulas and simplified notes for applying different formulas and techniques. These outlines helped me earn an A in my first year differential equations course and have already helped many students successfully complete the course! (P.S. The outlines were created in three sections (3 Tests), but are all included in one file.)
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Here, I easily explained the terms of median in the subject of mathematics. I explain the median with definition and ...
Here, I easily explained the terms of median in the subject of mathematics. I explain the median with definition and examples as well.
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I have described here about the each and every terms of the fraction and fractional relevant topics with native example. ...
I have described here about the each and every terms of the fraction and fractional relevant topics with native example.
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In this note I emphasize very strongly about loss and profit curricula by which you can easily calculate your problem. ...
In this note I emphasize very strongly about loss and profit curricula by which you can easily calculate your problem. Don't miss it!!!!
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Here, I have detailed about the manner of findings the interest rate of your deposited money. Just learn all the ...
Here, I have detailed about the manner of findings the interest rate of your deposited money. Just learn all the formula just only 10 minutes.
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Delve deep into the wonderful world of programming in Python, and discover your inner genus with programming.
"A person who ...
Delve deep into the wonderful world of programming in Python, and discover your inner genus with programming.
"A person who can code is a person who can shape the world as they see fit".
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Exponential functions are used daily in banking to compare and calculate what happens to your money over time after interest ...
Exponential functions are used daily in banking to compare and calculate what happens to your money over time after interest is applied.
Not only did these notes help me get full credit on this section of the corresponding exam, but it also helped me choose a banking policy that means I will earn more than I was originally!
Class: Functions and Trigonometry, high school honors level
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breakdown of Thermodynamic equations and formulas
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teaches you gives you a idea of inverse trignometry
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best worked out problems of determinants
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These worked out problems makes you clear about how to overcome integratio
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This is my C++ Programs i made in DEV C++!
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This is a better note and solve the problem easily all of them.
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This is a better formula and solved problem easily
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This is a better formula. Any problems are solved in this formula using
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Easy And Broad Notes Of Integrals, Mathematics.
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Easy to understand notes of Application of derivates.
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Here are the Microsoft Excel shortcuts from me....
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Mathematics-first semester-tutorial 1
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examples of mathematics question of australia
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The notes have been typed by myself.It includes 3D Geometry Problems which includes basics and High level problems.
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unit 001 fundamentals of aviation mathematics and science.
116 self help questions so you can be ready for the exam
"if ...
unit 001 fundamentals of aviation mathematics and science.
116 self help questions so you can be ready for the exam
"if you can answer these questions to your understanding, you will get better than a pass grade"
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here is calculus notes with grafics and xxamples
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mathematics, operations, addition, subtraction, multiplication, division, integers, whole numbers, beginner, basics, algebra 1, 1st year, freshman, math, negative, positive, arithmetics, ...
mathematics, operations, addition, subtraction, multiplication, division, integers, whole numbers, beginner, basics, algebra 1, 1st year, freshman, math, negative, positive, arithmetics, middle school, junior high
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Following notes contains a quick review of the chapter sequence and series.
Arithmetic progression.
Geometric progression.
Harmonic progression.
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A quick description on everythong you need on forces
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Engineering and Mechanics. Learning Mechanics. Fundamental Concepts. Units. Newtonian
Gravitation.
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Foundation details of momentum and concepts which are understandable.
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These notes give all the formulas needed for C4 Edexcel Mathematics. This includes all the methods for Integration, Differentiation, Vectors ...
These notes give all the formulas needed for C4 Edexcel Mathematics. This includes all the methods for Integration, Differentiation, Vectors and Binomial expansion theorem.
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This is a scanned copy of chapter 8 from the Algebra II textbook
£6.88
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This document encompasses the techniques required for differentiation and integration in the A Level syllabus.
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This document encompasses the techniques required for differentiation and integration in the A Level syllabus.
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how to use Pascal’s Triangle in math problems
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how to use Pascal’s Triangle in solving equations
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how to use Pascal’s Triangle to solve math problems
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Covers the properties of exponents, how to evaluate radical and exponential expressions, adding and multiplying exponential and radical expressions, rationalizing ...
Covers the properties of exponents, how to evaluate radical and exponential expressions, adding and multiplying exponential and radical expressions, rationalizing expressions.
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this lesson include the methods of factoring
any polinomial.
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This the unit of grade 12 math academic for measures of central tendency
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Principals , description and worked out examples of the Sin Integral.
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Basic principals and worked out examples of the Sin Integral.
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critical thinking is required to write good reports/essays especially at master level.
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Concept and goals of DBMS, Database Languages, Database Users, Database Abstraction. Database architecture, The Relational Data Model and Relational Database ...
Concept and goals of DBMS, Database Languages, Database Users, Database Abstraction. Database architecture, The Relational Data Model and Relational Database Constraints, Basic Concepts of ER Model, Relationship sets, Keys, Mapping, Design of ER Model
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Consist of Mathematics topics
Here is the syllabus:
http://www.ipu.ac.in/UnivSyllabus/btechsyllabus010813/1Final%20B.Tech%201st%20year%20scheme%20and%20syllabus/1Final%20Scheme%20&%20Syllabus-%20Ist%20&%202nd%20Semester%20for%20the%20academic%20session%202014-15.pdf
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Fundamentals of Mathematical Induction
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Want to make a board game and also use math? Want to show off your idea by presenting it like ...
Want to make a board game and also use math? Want to show off your idea by presenting it like a professional? You came to the right place!!! Understand how probabilities are involved in every board game and learn to present your own new game!
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Warwick Business School 1st year undergraduate notes...Have all topics for Quantitative Analysis for Management 1 and 2, will post all ...
Warwick Business School 1st year undergraduate notes...Have all topics for Quantitative Analysis for Management 1 and 2, will post all if there is demand..
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Binomial.theorem practise sheets
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Learn reflections for 8th grade Pre-algebra!
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This is what an "A" achieving lab report should look like (unless your teacher is brutal). Follow the basic language ...
This is what an "A" achieving lab report should look like (unless your teacher is brutal). Follow the basic language and layout and you'll be showered in good grades.
NOTE: This report doesn't include an "Error" section
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Reduction of order requires that a solution already be known. Without this known solution we won’t be able to ...
Reduction of order requires that a solution already be known. Without this known solution we won’t be able to do reduction of order. Therefore, this file shows you the two cases of reduction methods ( homogeneous and non-homogeneous ODE) supported by three solved examples in details.
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trig notes very helpful if you have no idea what you are doing
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These are some well-taken stats notes.
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Chemical Reactions and Equation for Grade 10th Level with formula but no picture included
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just Basic tips for Simultaneous Equations. talks about algebra .
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determinants and properties of determinants
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Review problems for university level final exam!
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these are notes from an honors geometry high school course
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These are notes for an honors geometry high school course.
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A first lecture in integral Domains and polynomials. These notes define Euclidean domain, principal ideal domain, and present several theorems ...
A first lecture in integral Domains and polynomials. These notes define Euclidean domain, principal ideal domain, and present several theorems (with proof) concerning the two (if it is too grainy, let me know and I will reupload the notes/send you a clearer copy)
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This is for Class eight level notes of factories CIE students.
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Complex variables and transforms.
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These notes got me an A in Survey of Calculus. These easy to understand explanations and practice problems are printed ...
These notes got me an A in Survey of Calculus. These easy to understand explanations and practice problems are printed in full and ready for you! Perfect for Calculus students of any level.
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easy to lean mysql and php tutorial
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MOST PRECISE AND ACCURATE COLLECTION OF 100% SURE BOARD EXAM QUESTIONS OF NCERT SYLLABUS (CBSE BOARD).
LEARNING THIS SIMLE BOOK CONTAINING ...
MOST PRECISE AND ACCURATE COLLECTION OF 100% SURE BOARD EXAM QUESTIONS OF NCERT SYLLABUS (CBSE BOARD).
LEARNING THIS SIMLE BOOK CONTAINING JUST 30 PAGES ENABLES YOU TO GET 100% SCORE IN BOARD EXAM WHATEVER BE THE LEVEL OF HARDNESS OF THE EXAM....100% MARKS GUARANTEED
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THIS SIMPLE BOOK CONTAINS SURE BOARD EXAM QUESTIONS WHICH CAN MAKE YOU PERFECT IN MATHEMATICS AS A WHOLE (PLUS TWO ...
THIS SIMPLE BOOK CONTAINS SURE BOARD EXAM QUESTIONS WHICH CAN MAKE YOU PERFECT IN MATHEMATICS AS A WHOLE (PLUS TWO NCERT SYLLABUS) AND I ASSURE YOU 100% SCORE IN THE BOARD EXAM......STUDY WELL....PRACTICE THESE QUESTIONS AGAIN AND AGAIN UNTIL YOU BECOME MASTERS.....ALL THE BEST.
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This will help you understand Dot Product in vector calculus (Math)
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This will help you understand Dot Product in vector calculus (Math)
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It gives you all the information you need to know about google and google apps.
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Well described formulas which can make an amature student understand properly
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All formula shown in detailed...speacially to make an amature student to understand
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These are the basic science notes enough to help you pass your next science exam.
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pre cal function notes teaches you how to add multiply divide and subtract functions (FoG)
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Simple and easy to understand notes, guaranteed to help you on the run up to your exams.
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Simple and easy to understand notes, guaranteed to help you on the run up to your exams.
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Simple and easy to understand notes, guaranteed to help you on the run up to your exams.
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Simple and easy to understand notes, guaranteed to help you on the run up to your exams.
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Simple and easy to understand notes, guaranteed to help you on the run up to your exams.
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Simple and easy to understand notes, guaranteed to help you on the run up to your exams.
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Simple and easy to understand notes, guaranteed to help you on the run up to your exams.
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Discrete Mathematical Analysis
Assessed Coursework Specification
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You can find nice and helping,handwritten notes of complex variables
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A hand-written 160 pages comprehensive overview and well organized introduction to all the concepts in big data analytics and web ...
A hand-written 160 pages comprehensive overview and well organized introduction to all the concepts in big data analytics and web 3.0 having the following contents : 1. advances in data management 2. data integration 3. data mining and applied statistics 4. information retrieval and text mining 5. cloud computing 6. semantic web technologies 7. object and component based software development 8. fundamentals of computing and computer systems. A must-have for 3rd or 4yr year undergraduates wishing to specialize in data analytics and web technologies for an introduction to the field, for master's and doctoral students in this area who can utilize it as a refresher.
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A hand-written 160 pages comprehensive overview and well organized introduction to all the concepts in big data analytics and web ...
A hand-written 160 pages comprehensive overview and well organized introduction to all the concepts in big data analytics and web 3.0 having the following contents : 1. introduction 2. advances in data management 3. data integration 4. data mining and applied statistics 5. artificial intelligence 6. information retrieval and text mining 7. cloud computing 8. semantic web technologies 9. object and component based software development 10. fundamentals of computing and computer systems. A must-have for 3rd or 4th year undergraduates wishing to specialize in data analytics and web technologies for an introduction to the field, for master's and doctoral students in this area who can utilize it as a refresher, for industry practitioners for a formal textbook understanding.
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A hand-written 175 pages comprehensive overview and well organized introduction to all the concepts in data science having the following ...
A hand-written 175 pages comprehensive overview and well organized introduction to all the concepts in data science having the following contents : 1. introduction 2. advances in data management 3. data integration 4. data mining and applied statistics 5. artificial intelligence 6. information retrieval and text mining 7. cloud computing 8. semantic web technologies 9. object and component based software development 10. fundamentals of computing and computer systems. A must-have for 3rd or 4th year undergraduates wishing to specialize in data science for an introduction to the field, for master's and doctoral students in this area who can utilize it as a refresher, for industry practitioners for a formal textbook understanding of data science.
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Know every rules,steps, guidance and be outstanding in JAVA programming language through the help of this eBook
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Notes are made for easy and better understanding.
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It's the new way to learn logarithm with so simple and fun.
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It's the new way to learn and understanding logarithm with so easy and fun
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These notes are for secondary school examinations,
these include notes for physics, chemistry, and mathematics.
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Mathematics formula for all science students
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This is a complete documentation of UC Berkeley's Linear Algebra curriculum for undergraduates. In particular, it assesses linear algebra's application ...
This is a complete documentation of UC Berkeley's Linear Algebra curriculum for undergraduates. In particular, it assesses linear algebra's application to electrical engineering in subject areas such as signal processing. These notes document Berkeley EECS's new class EE16a, taught by Professors Anant Sahai, Ali Niknejad, and Elad Alon.
These notes also contain intermediate linear algebra proofs.
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This is a complete documentation of UC Berkeley's Linear Algebra curriculum for undergraduates. In particular, it assesses linear algebra's application ...
This is a complete documentation of UC Berkeley's Linear Algebra curriculum for undergraduates. In particular, it assesses linear algebra's application to electrical engineering in subject areas such as signal processing. These notes document Berkeley EECS's new class EE16a, taught by Professors Anant Sahai, Ali Niknejad, and Elad Alon. These notes also contain intermediate linear algebra proofs.
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Number system, Types of Number System ,Conversions Between Number System,Examples
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It provides an understanding of the main accounting statements together with an awareness of basic accounting principles, terminology and techniques, ...
It provides an understanding of the main accounting statements together with an awareness of basic accounting principles, terminology and techniques, so that participants can interpret financial reports and interpret financial information.
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A financial market is a market in which people trade financial securities, commodities, and other fungible items of value at ...
A financial market is a market in which people trade financial securities, commodities, and other fungible items of value at low transaction costs and at prices that reflect supply and demand.
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A financial market is a market in which people trade financial securities, commodities, and other fungible items of value at ...
A financial market is a market in which people trade financial securities, commodities, and other fungible items of value at low transaction costs and at prices that reflect supply and demand.
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This will help university students studying Finance as well as Financial Mathematics, and will help them learn about how to ...
This will help university students studying Finance as well as Financial Mathematics, and will help them learn about how to calculate cash flows in real life situations that may arise in roles within the Finance sector.
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Surface water pollution is the pollution of aquatic systems that are above ground, such as streams, lakes and rivers. The ...
Surface water pollution is the pollution of aquatic systems that are above ground, such as streams, lakes and rivers. The water becomes polluted when rainwater runoff carries pollutants into the water. The pollutants can be dangerous for the environment as well as for the health of the organisms that inhabit them.
The main objective of this paper is to develop a model of water pollution in the lake due to the leakage of toxic chemical into the lake. The model discussed in this paper is mixing model.
The purpose of the model is to provide an alternative way to control the water pollution level in the lake and thus minimize the risk of unsafe drinking water to be consumed by residents.
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A tutorial for those who seek to master the skill of optimization involving derivatives. For those taking an introductory Calculus ...
A tutorial for those who seek to master the skill of optimization involving derivatives. For those taking an introductory Calculus course, either as a dual enrolled high school student or college student.
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These Properties are normally introduced in the course Algebra 1
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Explains the Properties of Limits and the Squeeze Theorem
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this tutorial gives the idea of a two ray propogation model
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this note contains all the formula of calculas in a very simplified manner,so that students can have ease to remember ...
this note contains all the formula of calculas in a very simplified manner,so that students can have ease to remember all the complex formula,using some tricks.
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Precalculus problems for practice with sum and difference formulas and answer key along with it to help
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All the important ideas needed for your test or exam.
Outline that's perfectly answered for engineers.
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all information you would require as a new student to economics
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teachs you a little about fractions
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basics of Measures of Central Tendency and the Range
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teach you how to pick which graph to picj
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These have notes on what to do with Exponents from negative exponents to dividing exponents
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This paper consist Important ncert question for board exam
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This note are made with everything in C4 syllabus. It has lots of examples explanations and a lot of exercises ...
This note are made with everything in C4 syllabus. It has lots of examples explanations and a lot of exercises for practice all chapters
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For upcomming Phacmacy students. Tackels about Pharmacuetical Calculations. Learn the system of measurement like Avoirdupois System and more.
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This is for the upcoming pharmacy students. Tackles about Pharmaceutical Calculations. Learn about the Apothecaries system, Avoirdupois system, and Household ...
This is for the upcoming pharmacy students. Tackles about Pharmaceutical Calculations. Learn about the Apothecaries system, Avoirdupois system, and Household system. Also, It tackles the latin abbreviations commonly used in the field of Pharmacy.
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Sections: Natural and whole numbers,fractions,factors and multiples,decimals,rational numbers,rules of divisibility,scientific notation,percentages,algebraic expressions,ratio and rate,squares and cubes,square root and cube root,integers ...
Sections: Natural and whole numbers,fractions,factors and multiples,decimals,rational numbers,rules of divisibility,scientific notation,percentages,algebraic expressions,ratio and rate,squares and cubes,square root and cube root,integers and equations.
Primary and Middle school maths. This guide is an essential for every student to combat his/her problems outside the confines of a classroom.This guide replaces the presence of a teacher and makes learning as a,b,c
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Introduction to Economics lectures
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In these notes i explain how to make your own website using HTML, this is chapter one and covers ALL ...
In these notes i explain how to make your own website using HTML, this is chapter one and covers ALL the basics, chapter 2 will be released soon covering more beginner moving into intermediate courses and tutorials for only 50P, all following chapters are 50P But i may do special chapters for £1! AGE MAINLY 10-ANY And Skill Level:
Beginner, Hope you purchase, download and enjoy my PDF!
FileName: HowToBuildAWebsiteHTML_C1_90p.pdf . Title: How To Build A Website With HTML: C1
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Here you can find everything you will need for your ACT exam.Don't worry!! just give it a chance
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University College London (UCL) notes for economics, maths and geography. Easy to follow and covering the whole topic! This is ...
University College London (UCL) notes for economics, maths and geography. Easy to follow and covering the whole topic! This is what you look for! Any topic that you need you can find asking me! So easy!
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it is a sample paper which include the chapter trigonometry, complex numbers , series and sequences, sets , permuntation ...
it is a sample paper which include the chapter trigonometry, complex numbers , series and sequences, sets , permuntation and combination , binomial theorem, PMI and linear inequalities
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FOR 1ST YEAR BEGGINERS
The notes include the following topics:
what is operating system
evolution of operating system
objectives of OS
how OS takes control
function ...
FOR 1ST YEAR BEGGINERS
The notes include the following topics:
what is operating system
evolution of operating system
objectives of OS
how OS takes control
function of OS
process of an OS
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This notes provides basic information about mole concept.Especially this notes id for beginners.
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Instead of working for 3-4 hours making your dream notes ,something that is neat and looking beautiful with good handwriting ...
Instead of working for 3-4 hours making your dream notes ,something that is neat and looking beautiful with good handwriting without erase marks.why not safe precious time and effort and trade cash for the notes i have for u?
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FOR FIRST YEAR BEGINNER :
NOTES ON OBJECT MODELLING:
what is object model ?
what is class relationship?
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a gentle introduction to learning calculus easily !
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Quick biography of the father of computing, charles babbage. Some quick notes and some main points in this document that ...
Quick biography of the father of computing, charles babbage. Some quick notes and some main points in this document that can help you get started
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These are the intro to Mathmatics 5/6 college notes
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This is the few questions for matrices topic . Starting with easier questions and then followed by a little bit ...
This is the few questions for matrices topic . Starting with easier questions and then followed by a little bit hard . It is suitable to those who are just learning this topic and teachers who wants to give exercises to the students on this topic. Hope they can helps you to make you more understand on this topic :)
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A document with a large amount of information provided for EDEXCEL C1 revision. including all chapters 1--8 AND A VARIETY ...
A document with a large amount of information provided for EDEXCEL C1 revision. including all chapters 1--8 AND A VARIETY OF EXAMPLES
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Toate formulele din anul I la facultatea de Informatica, materia analiza matematica.
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this leçon will help you in mathematics
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Eighteen pages that will help prepare you for the Grade 10 Academic Math Exam. Overview of 8 units with formulas, ...
Eighteen pages that will help prepare you for the Grade 10 Academic Math Exam. Overview of 8 units with formulas, key terms, word problems, properties, diagrams and more! Hope this helps! Best of luck on your studies!
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Everything you need to pass OChem I! Typed and drawn notes describing reactions, mechanisms, and more! Created by ...
Everything you need to pass OChem I! Typed and drawn notes describing reactions, mechanisms, and more! Created by a premed student who was top 3 in her class.
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This was my exam review for grade 9 and it really helped. I'm bad at math too so I hope ...
This was my exam review for grade 9 and it really helped. I'm bad at math too so I hope this is to some extent useful!
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The details about pi, a constant ratio of the perimeter and diameter of a circle. To remember the digits u ...
The details about pi, a constant ratio of the perimeter and diameter of a circle. To remember the digits u may remember " Can I have a large container of coffee please .... "
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The following contains a detailed analysis of complex numbers for the IB course. It includes solved questions and practice sums. ...
The following contains a detailed analysis of complex numbers for the IB course. It includes solved questions and practice sums. However the notes can be used for other courses as well for reference
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This is my honors precalculus semester 1 overview. Should provide all necessary formulas and concepts.
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5 W and 1 H help you to complete your sentances
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Business calculus math final review pt 1
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Business calculus math final review pt 2
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Notes based on Tenth Edition of Elementary Differential Equations and Boundary Value Problems by William E. Boyce and Richard C. ...
Notes based on Tenth Edition of Elementary Differential Equations and Boundary Value Problems by William E. Boyce and Richard C. DiPrima.Everything you're looking in differential equations in one note Laplace Transform,Fourier Series etc.
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Notes based on Tenth Edition of Elementary Differential Equations and Boundary Value Problems by William E. Boyce and Richard C. ...
Notes based on Tenth Edition of Elementary Differential Equations and Boundary Value Problems by William E. Boyce and Richard C. DiPrima.Everything you're looking in differential equations in one note Laplace Transform,Fourier Series etc.
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Introductory level statistics describing several forms of graphical and numerical summaries of data, including histograms and boxplots.
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List of world capitals by countries
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Basic and complex formulae and ratios for business accounting.
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Step by step guide and tutorial for transacting absorption costing.
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Very descriptive neat and understandable notes for Calculus 3 , from trigonometry to double integrals
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Plus de 800 pages de cours et d'exercices de réseaux.
Un guide complet du domaine de la télécommunication !!
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Formal lab detailing synthesis, decomposition, single displacement, and double displacement reactions - outlining the purpose, materials/apparatus, general form of each ...
Formal lab detailing synthesis, decomposition, single displacement, and double displacement reactions - outlining the purpose, materials/apparatus, general form of each equation, whether the reactions were endo- or exothermic, and the definition of a catalyst. Notes provided by an International Baccalaureate student.
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A whole course on financial markets in a single PDF.
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this is a cxc maths past paper which took place january 2011
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this is a copy of the cxc aths past paper from january 2013
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Numerous ways of using math in the real word are applied throughout the notes.
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My Notes on the pre-calculus section, average rate. Photo copied hand written notes.
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Photo-copied Hand written notes on graphs of functions.
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pre-calculus section, inverse functions. hand written. Examples of problems and their solutions fully written out.
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Linear functions example problems and solutions. Hand written.
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Piece-wise functions examples and explained formulas. handwritten
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Average rate of change formula and example of how to implement the formula.
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A brief overview of relations within functions, such as Domain and Range.
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in these notes there are so many formulae which is used in mathematics
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in these notes there are so many formulae which are used to solve problems in mathematics
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The notes contains key areas for 3rd years who encounter numerical analysis for the first time.
Introduction on calculation of errors ...
The notes contains key areas for 3rd years who encounter numerical analysis for the first time.
Introduction on calculation of errors like absolute,relative and percentage errors.It also touches areas of truncation and significant figures. Formulae to be used for any calculations which includes initial,propagated and generated errors.
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Notes directly for the University of Bath 2nd year IPS and vector space course.
As it is maths, will be similar ...
Notes directly for the University of Bath 2nd year IPS and vector space course.
As it is maths, will be similar to any course on IPS or Vector spaces.
Includes marks of common exam questions here at bath. There will be similar to most other notes.
Notes cover:
Vector subspaces, sums and intersections, complementary subspaces, quotient spaces. Dual spaces, transpose of a linear map, annihilators.
Inner product spaces over R and C. Cauchy-Schwarz inequality.
Gram-Schmidt orthonormalization. Orthogonal subspaces and complements.
Linear operators on inner product spaces. Orthogonal and unitary groups. Properties of eigenvalues and eigenspaces.
Finite dimensional spectral theorem. Bilinear forms, relation with dual spaces, nondegeneracy. Tensor products and applications. Multilinear forms, alternating forms.
Alternating bilinear forms, classification. Quadratic forms, relation to symmetric bilinear forms. Sylvester's law
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Higher school mathematics about logarithms
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Simplified cheat sheets to the following topics:
1. Complex Numbers
2. Vectors
3. Matrices
4. Differentiation & Integration
5. Sequences & Series
6. Functions of Several ...
Simplified cheat sheets to the following topics:
1. Complex Numbers
2. Vectors
3. Matrices
4. Differentiation & Integration
5. Sequences & Series
6. Functions of Several Variables
7. Differential Equations
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Worked example of how to sketch a cubic function using a simple 5 step guide line. Ideal for 1st and ...
Worked example of how to sketch a cubic function using a simple 5 step guide line. Ideal for 1st and 2nd year study of general and advanced mathematics degrees.
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these notes will help you understand basic first year chemistry , for first year university students studying -optometry,or any chemistry ...
these notes will help you understand basic first year chemistry , for first year university students studying -optometry,or any chemistry base degree .i am an optometry student at ukzn westvill campus in durban.
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Gravitational potential energy, Acceleration, and kinetic energy
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2nd Year Electrical and Electronic Engineering
Analogue Electronics
BJT
An exercise of How to understand Bias - Potentiometer
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this is help to solve mathmatics problems
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This notes will help you to solve the problems quickly
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9th grade Algebra 1
Keystone National Highschool - Assignment 1.03
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9th grade Algebra 1 - Assignment 1.03//Keystone National High School
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9th grade Algebra 1: Assignment 1.04 / Keystone National High School
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9th grade Algebra 1 - Assignment 1.01/ Keystone National Academy
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Easy to understand n comprehend... Notes for acturial science students
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This note is about the basics of a computer system
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Pre-calculus math written in a very simple way for better understanding. Lots of examples included to practice
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Chain Rule Problems with Answers to practice
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How to do reverse percentages very very easily.
You would need this in marketing to find original prices if you lose ...
How to do reverse percentages very very easily.
You would need this in marketing to find original prices if you lose them somehow.
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important question led to you score good marks!
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These notes show what the Pythagorean Theorem is, and how it is used in Right Triangles.
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Unit 1 Higher physics notes including notes on:
Equations of motion
Newton's laws
Forces and tension
impulse and momentum
energy
gravitation
special relativity
time dilation and length contraction
Doppler ...
Unit 1 Higher physics notes including notes on:
Equations of motion
Newton's laws
Forces and tension
impulse and momentum
energy
gravitation
special relativity
time dilation and length contraction
Doppler effect and Hubble's laws
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A great test booklet for elementary mathematics in both languages English and hindi
Good luck
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Grade 5 mathematics test and model answers . Department of verginia education
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this is very common question and which is likely to come in upcoming cbse board exam.
this is for class 10 ...
this is very common question and which is likely to come in upcoming cbse board exam.
this is for class 10 and 12 th board
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this is for dclass 10 and 12 for preparing thier board exam and now they can easily get score high ...
this is for dclass 10 and 12 for preparing thier board exam and now they can easily get score high in their exam.please download it more and share it as you can.
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A mathematical solution to find Day to a Date
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laplace transfrm basic concepts
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amazing notes on complex nos. and quadratic equations. basics to high level . target:competition
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Self-created notes!
A thorough cheat sheet for trigonometry. Don't let trig get you down again! Valid for all levels of ...
Self-created notes!
A thorough cheat sheet for trigonometry. Don't let trig get you down again! Valid for all levels of study; A Level, EDEXCEL, etc.
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These are Math A2 differentiation and integration notes. These are the rules to solve any questions related to these topics ...
These are Math A2 differentiation and integration notes. These are the rules to solve any questions related to these topics in this high level of mathematics
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These are math A2 integration and differentiation rules they will help you to solve any questions related to these topics ...
These are math A2 integration and differentiation rules they will help you to solve any questions related to these topics
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Circle Theorems for GCSE in a concise but thorough way. Easy to understand diagrams and text.
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this php notes is for better understanding of students. this helps every one to gain knowledge on php.
each and ...
this php notes is for better understanding of students. this helps every one to gain knowledge on php.
each and every topic explained with example so that learnig is made easy.
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This is the best notes for Database management system.
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This is the new chemistry periodic table comic soon
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A detailed explanation of the binary system.
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1 + 1 = 2. Seem too simple? Read to find out the amazing truth.
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Class x mathmetics question papers solution and notes
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These are my notes for cos, sin, tan.
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The easiest way of solving question.
I hope you will get benefit from them
These are notes of just one exercise
But I ...
The easiest way of solving question.
I hope you will get benefit from them
These are notes of just one exercise
But I will try my best for all
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For extra hard work use these notes.
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It will become very useful to just read these questions thoroughly.
Coz by reading these you will able to learn these ...
It will become very useful to just read these questions thoroughly.
Coz by reading these you will able to learn these questions
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serie d'application en geometrie : conique
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these notes are for first year students of engineering for the real analysis part of the calculus
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Detailed description on how to multiply and divide positive and negative numbers with ease. Including example problems and a mini ...
Detailed description on how to multiply and divide positive and negative numbers with ease. Including example problems and a mini worksheet for you to do to check how well you mutiply and divide integers. Great for 6th and 7th graders. Sources: "Big Ideas Math Advanced 1"
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this is an electrostatics impt questions
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50 pages !!! of all kinds of formulas for used in the process operating industry. The collection includes formulas for ...
50 pages !!! of all kinds of formulas for used in the process operating industry. The collection includes formulas for machinery process, chemical process and electricity process. Moreover you will find notes, pictures, illustrations and examples of the formulas. I have made it very easy to look up the different formulas via a table of content.
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these notes contain best study materials and concept for cracking iit jee. these pdf and notes contain best hand written ...
these notes contain best study materials and concept for cracking iit jee. these pdf and notes contain best hand written notes that help iit aspirants a lot.best combination of bansal/resonance/vibrant/narayana/vidyamandir(VMC)etc.
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لتكن ( ) Cدائرة مرآزها Oو شعاعها Rو Iنقطة من + .( ) C
لو أردنا أن ...
لتكن ( ) Cدائرة مرآزها Oو شعاعها Rو Iنقطة من + .( ) C
لو أردنا أن ننطلق من Iلندور حول ) ، (Cلوجدنا أنفسنا أمام منحيين .
توجيه الدائرة ( ) Cهو اختيار أحد المنحيين منحى موجبا ) أو مباشرا(
و الآخر منحى سالبا ) أو غير مباشر.(
عادة نأخذ المنحى الموجب المنحى المعاآس لحرآة عقارب الساعة .
النقطة Iتسمى أصل الدائرة ) .(C
عندما توجه جميع دوائر المستوى توجيها موحدا فإننا نقول إن المستوى موجه
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These notes are aimed at AS Aqa maths students, they cover detailed notes on the differentiation and integration topics. ...
These notes are aimed at AS Aqa maths students, they cover detailed notes on the differentiation and integration topics. The notes cover everything to do with these two topics. Although these notes are based on the Aqa syllabus which is used here in the United Kingdom they may prove useful to other syllabus's as well. If these notes prove popular I will release more on a wider variety of topics.
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Criyptography and network Security
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This note for Cryptography and network security
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Extensive notes on the philosophy of science, including summaries of Kuhn, Van Fraassen, Nagel, Kitcher, Mancosu, Hempel, Ayer, Bird, Lewis ...
Extensive notes on the philosophy of science, including summaries of Kuhn, Van Fraassen, Nagel, Kitcher, Mancosu, Hempel, Ayer, Bird, Lewis and Newton-Smith.
These notes were compiled whilst studying for the University of Oxford's undergraduate finals paper 'The Philosophy of Science and Social Science' in 2013/14 - I attained a First for the module.
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Extensive and comprehensive notes on the philosophy of science, including summaries of Kuhn, Van Fraassen, Nagel, Kitcher, Mancosu, Hempel, Ayer, ...
Extensive and comprehensive notes on the philosophy of science, including summaries of Kuhn, Van Fraassen, Nagel, Kitcher, Mancosu, Hempel, Ayer, Bird, Lewis and Newton-Smith.
These notes were compiled whilst studying for the University of Oxford's undergraduate finals paper 'The Philosophy of Science and Social Science' in 2013/14 - I attained a First for the module.
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how to solve a complex synthetic division problem.
for example: dividing x^4-3x^3-x^2+13x-10 by 2-i when we know (x-(2-i)) is a factor ...
how to solve a complex synthetic division problem.
for example: dividing x^4-3x^3-x^2+13x-10 by 2-i when we know (x-(2-i)) is a factor
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Parabola is called the locus of points in a plane equidistant from a given guideline called straight, and external to ...
Parabola is called the locus of points in a plane equidistant from a given guideline called straight, and external to a point, called the focus.
In this homework you can see:
Graph a quadratic function using a table , identity key features of a quadratic function from the equation.
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it gives u full details about network security.....
and tells u about different types of attack and to prevent your self ...
it gives u full details about network security.....
and tells u about different types of attack and to prevent your self from it......... :)
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this notes tells u about network security.....
it tells about different types of attacks and how u prevent your self from ...
this notes tells u about network security.....
it tells about different types of attacks and how u prevent your self from it....
it tells about IP and MAC addresses in details
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these notes give u full details of network security...
its tells about different types of attacks and how to prevent your ...
these notes give u full details of network security...
its tells about different types of attacks and how to prevent your self from it ....
it ells about IP and MAC addresses in details ..
it telles about hackinging also in detail............
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this notes contains top level of explanation for 12th boards
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the following notes provide a useful resourse of stress ruin
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summary of circuit and electricity
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past paper that will help you pass!
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These are the notes for The Scottish Higher maths course.
Covering:
- The Straight Line
- Composite and Inverse functions
- Algebraic Functions and ...
These are the notes for The Scottish Higher maths course.
Covering:
- The Straight Line
- Composite and Inverse functions
- Algebraic Functions and Graphs
- Trigonometric Functions and Graphs
- Introduction to Differentiation
- Using Differentiation
- Sequences
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These are the notes for The Scottish Higher maths course.
Covering:
- Polynomials
- Quadratic Theory
- Integration
- Calculations in 2 and 3 ...
These are the notes for The Scottish Higher maths course.
Covering:
- Polynomials
- Quadratic Theory
- Integration
- Calculations in 2 and 3 Dimensions
- Compound Angle Formula
- The Circle
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These are the notes for The Scottish Higher maths course.
Covering:
- Vectors
- Further Differentiation and Integration
- The Exponential and Logarithmic ...
These are the notes for The Scottish Higher maths course.
Covering:
- Vectors
- Further Differentiation and Integration
- The Exponential and Logarithmic Functions
- The Wave Function [ a cos x + b sin x ]
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These are notes, with worked examples, for the differentiation topic in the Core 1 module of AS level Mathematics. They ...
These are notes, with worked examples, for the differentiation topic in the Core 1 module of AS level Mathematics. They cover differentiating equations to find their derivative, applying the derivative to find gradients for points on a curve, finding co-ordinates of points on a curve from a gradient, finding the equations of tangents to a curve and finding the equations of a normal to a curve.
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The nodes includes detail explanation of various steps in FEM, Discretization Process, Types of Elements, Node Numbering scheme, Plane Stress ...
The nodes includes detail explanation of various steps in FEM, Discretization Process, Types of Elements, Node Numbering scheme, Plane Stress and Plane Strain Conditions, Advantages and Application areas of FEM, List of FEM Packages
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Astrology analysis done free of cost..
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Hard algebra examples, notes, easy to follow.
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Over 40+ pages of Principles of Macroeconomics notes, taken from lectures at The George Washington University. The notes are incredibly ...
Over 40+ pages of Principles of Macroeconomics notes, taken from lectures at The George Washington University. The notes are incredibly detailed and begin from the first lecture through to the final exam.
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This is a geometry sheet that contains easy-to learn area formulas for the most common geometric shapes. If you feel ...
This is a geometry sheet that contains easy-to learn area formulas for the most common geometric shapes. If you feel as if you are struggling with area and perimeter check out this sheet and prepare yourself to get an A+ on your next evaluation.
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These notes go through, step by step, how to solve quadratic equations by factoring.
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Prepping and practicing for calculus 2? It would sure be handy if you had the entire completed exam, all work ...
Prepping and practicing for calculus 2? It would sure be handy if you had the entire completed exam, all work shown and answers finalized. And that's not to mention the 100% score that you'd be learning from. This was my entire calc 2 midterm 1, straight from UC Berkeley.
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Prepping and practicing for calculus 2? It would sure be handy if you had the entire completed exam, all work ...
Prepping and practicing for calculus 2? It would sure be handy if you had the entire completed exam, all work shown and answers finalized. And that's not to mention the 100% score that you'd be learning from. This was my entire calc 2 midterm 2, straight from UC Berkeley.
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This study guide contains all of the material from Physics 1A including terms, concepts, equations and explanations. (helped me get ...
This study guide contains all of the material from Physics 1A including terms, concepts, equations and explanations. (helped me get a 99 on the final)
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Filled with answers to questions concerning advanced geometry.
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Are you having issues with your Discrete Math course? Well, here's the first week's test answers.
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For Bsc student doing PCM with no honours.
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Exam solution to Introduction to Multivariable Calculus, sample exam, exam questions, mock exam, calculus, algebra
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Introduction to Multivariable Calculus, calculus, exam, mocks, algebra, university
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This follows section 21 of "A First Course in Abstract Algebra" by Fraleigh and includes everything I find important about ...
This follows section 21 of "A First Course in Abstract Algebra" by Fraleigh and includes everything I find important about rings of polynomials, my own diagrams, and explanations that helped me learn the material.
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Solved exercises for Probabilities/Statistics students who need to practice more of this kind of exercises and also know when they're ...
Solved exercises for Probabilities/Statistics students who need to practice more of this kind of exercises and also know when they're doing things right.
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The mathematician does not study the pure subject because it is useful; one thyself uses it because it sees upon ...
The mathematician does not study the pure subject because it is useful; one thyself uses it because it sees upon the beauty of this most misunderstood subject.
-J.H. Poincare
This means that not only is the subject very important and comes in handy in everyone's lives but also that it is a subject that one who loves it envies it very much. This subject can be confusing to many others, but those other 3% of people can see the beauty of this subject and how much it is used to get things done.
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take any type of volume but the easy and simple notes will get by this
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useful notes.....with tremendous information on circles
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It covers the complete description of relation and function .and it also gives us practical example
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How to Find Square root By Hand ?
My Notes Definetly Help You To find Some Difficult Square Root Like This ...
How to Find Square root By Hand ?
My Notes Definetly Help You To find Some Difficult Square Root Like This ___)))
sqrt(77.15) = ?.???
you have found the exact square root you're looking for (not merely an approximation of it).
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Square Roots by Hand
How to Find Square root By Hand ? My Notes Definetly Help You To find Some ...
Square Roots by Hand
How to Find Square root By Hand ? My Notes Definetly Help You To find Some Difficult Square Root Like This ___))) sqrt(77.15) = ?.??? you have found the exact square root you're looking for (not merely an approximation of it).
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Detailed and easy to understand worked solution for the design question of Jun14 p51
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just solve them and know your preparetion
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These are the better, more precise edexcel notes. It's easy to read, and there are only 4 or 5 notes ...
These are the better, more precise edexcel notes. It's easy to read, and there are only 4 or 5 notes per topic - as that is all you need to know in the exam!
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limit of a function is one of the fundamental notions in mathematics. Several cases need to be considered.
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Most important questions with solution which generally asked in exams ...
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This file contains ONLY the exam!
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Very interesting to learn using nemonics
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Vector Algebra in short FOR CLASS 11
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For 1st year beginner, walks you step by step through all of the calculus you will need for Business School ...
For 1st year beginner, walks you step by step through all of the calculus you will need for Business School with these 102 pages of notes! Wrote at Southern Methodist University in MATH 1309.
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Descriptive notes and very advanced and unique set of problems available
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It includes the core ideas in mathematics that is hardly known to even masters in mathematics
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It includes the core ideas in mathematics which is hardly known to even masters in mathematics.
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In this note one can learn about absolute value function, range of the function and can build a concept which ...
In this note one can learn about absolute value function, range of the function and can build a concept which will help to solve more problems with confidence
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this notes consists of allmost all the chapters belonging to mathematics 1.for the first year students of engineering.the notes contain ...
this notes consists of allmost all the chapters belonging to mathematics 1.for the first year students of engineering.the notes contain the following chapters.
1.Matrices.
2.Differential Calculus Methods.
3.Improper,Multiple Integration And Applications.
4.Differential Equations And Applications.
5.Laplace Transforms.
i hope this information will be helpful for you to download the notes..
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this notes consists of allmost all the chapters belonging to mathematics 1.for the first year students of engineering.the notes contain ...
this notes consists of allmost all the chapters belonging to mathematics 1.for the first year students of engineering.the notes contain the following chapters.
1.Matrices.
2.Differential Calculus Methods.
3.Improper,Multiple Integration And Applications.
4.Differential Equations Applications.
5.Laplace Transforms.
i hope this information will be helpful for you to download the notes..
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Now crack every engineering entrance exam with these best notes booklet of FIITJEE. This test booklet contains various different questions ...
Now crack every engineering entrance exam with these best notes booklet of FIITJEE. This test booklet contains various different questions of Physics, Chemistry and Mathematics. This booklet also contains answer key
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Now crack any engineering entrance exams with these best preparation notes. This booklet contains various multiple choice questions as asked ...
Now crack any engineering entrance exams with these best preparation notes. This booklet contains various multiple choice questions as asked in previous year entrance exams with the same pattern. These notes contains numerous different questions of Physics, Chemistry and Mathematics with answer key is provided at the end.
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Learn the formula for calculating area.
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Key words for addition, subtraction, multiplication, and division. All words that can be used to find what type of problem ...
Key words for addition, subtraction, multiplication, and division. All words that can be used to find what type of problem it is whether if its suppose to add or subtract or multiply or divide
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This contains the glossary of different terms from different systems of measurement
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This is a reviewer fro Grade 9 students who use Philippine curriculum.
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IT contains important mathematics formulas which will help students solve their problems with ease
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i will do my best to help anyone
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All basic notes that you need to know to answer an IMO questions related to Polynomial Equations.
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All basic notes that you need to answer an IMO questions related to Functional Equations.
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All basic notes that you need to answer an IMO questions related to Polynomial In One Variable
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Focuses on triangles, angles, and polygons on graphs (transformations, congruence, rotation, etc.)
If you're taking FLVS courses, this is exactly what ...
Focuses on triangles, angles, and polygons on graphs (transformations, congruence, rotation, etc.)
If you're taking FLVS courses, this is exactly what you need.
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These notes focus on the Pythagorean Theorem and its uses. It also shows how to find the volume of 3-dimensional ...
These notes focus on the Pythagorean Theorem and its uses. It also shows how to find the volume of 3-dimensional figures like cylinders, cones, and spheres.
If you take FLVS math courses, this is perfect for you.
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These notes focus on the basics of functions, rate of change, and how to distinguish them an linear or non-linear. ...
These notes focus on the basics of functions, rate of change, and how to distinguish them an linear or non-linear.
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These notes focus on the basics of types of numbers, basic equations, and converting numbers to scientific notation.
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this is a very primitive study note prepared. but since most of the biology stdents tend to forget the plant ...
this is a very primitive study note prepared. but since most of the biology stdents tend to forget the plant and animal cell structure so it is summarised and made easy to study.
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MCS-024 2nd sem,Course Code : MCS-024 Course Title : Object Oriented Technologies and Java Assignment Number : BCA(IV)/024/Assignment/, Solved Assignment ...
MCS-024 2nd sem,Course Code : MCS-024 Course Title : Object Oriented Technologies and Java Assignment Number : BCA(IV)/024/Assignment/, Solved Assignment
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Course Contents
1.0 Further differentiation and integral calculus
1.1 Review of rules of differentiation
1.2 Application of first order differentiation
1.3 Second order differentiation – test for maximum ...
Course Contents
1.0 Further differentiation and integral calculus
1.1 Review of rules of differentiation
1.2 Application of first order differentiation
1.3 Second order differentiation – test for maximum and minimum
1.4 Application of second order differentiation
1.5 Partial differentiation
2.0 Matrices/input-output analysis
2.1 Matrix algebra (review)
2.2 Application of matrices in:
2.2.1 Market models
2.2.2 National income models
2.2.3 Leontif input – output models
3.0 Sampling theory; introduction
3.1 Purpose of sampling (merits and demerits of sampling)
3.2 Principles of sampling
3.3 Methods of sampling
3.4 Sampling and non-sampling error
3.5 Sampling distribution
3.6 Central limit theorem
3.7 Estimation of parameters
3.8 Statistical estimation
3.9 Interval estimation
3.10 Test of hypothesis
3.10.1 Procedure for testing hypothesis
3.10.2 Type I and type II errors
3.10.3 One failed and two failed test
3.10.4 Small sampling theory
3.10.5 Properties of t-distribution hypothesis testing about the population The F-distribution
4.0 Probability theory
4.1 Introduction – meaning of probability of terms, properties probability, probability tree
4.2 Roles of probability
4.3 Expected values
4.4 Permutation and combination
4.5 Probability distribution
4.5.1 Normal distribution
4.5.2 Binomial distribution
4.5.3 Poisson distribution
5.0 Linear programming
5.1 Generalized linear programming model
5.2 Assumptions of linear programming model
5.3 Characteristics of linear programming model
5.4 Examples of liner, programming problems
5.5 Some useful definition
5.5.1 Methods of solution
5.5.2 Graphical method
5.5.3 Simplex method
5.5.4 Some special cases and simplex method
5.5.5 Duality theorem
6.0 Markov process
6.1 Markovian property
6.2 Transition probabilities
6.3 Markov chain
6.4 Steady state
6.5 Application of Markov process
7.0 Regression analysis
7.1 Correlation analysis
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Resolving the x, y and z components of three dimensional vectors/forces.
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Notes which were taken for a University Algorithms & Data Structures test at Teesside University, UK
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Definite integral ideas, notations, and rules
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Properties of the Definite Integral
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This document gives a very basic introduction to the commands in matlab for every beginner.
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A review for algebra 2 students (both pre-ap and regular) with a key!
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Solving ∫(sin(2 x))/(2 sin(x) cos^2(x))
Answer with solution!
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Solving ∫(cos(6 x))/(sin(3 x))
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(4 sin^2(2 x) cos^2(2 x))/(sin(2 x) cos(2 x))
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Solving (4 sin^2(2 x) cos^2(2 x))/(sin(2 x) cos(2 x))
Answer With Solution!
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Solving ∫(1+tan(x))^2 with answer and solution
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Solving ∫sec^2(4 x-3)dx with answer and solution
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Your skills is not more power at mathmatics in Algebra?
Here you will get all kinds of Algebra formula or law.It,s ...
Your skills is not more power at mathmatics in Algebra?
Here you will get all kinds of Algebra formula or law.It,s need for doing any kineds of sum.So no tention with algebra .
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Your skills is not more power at mathmatics in Algebra? Here you will get all kinds of Algebra formula or ...
Your skills is not more power at mathmatics in Algebra? Here you will get all kinds of Algebra formula or law.It,s need for doing any kineds of sum.So no tention with algebra .
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i made this pdf as an assignment. this content all about history of database management systems.
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All BlueJ and Java related notes for ICSE students
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all and everything you need to learn MATLAB. basics, plots and graphs, image processing, animation, graphical user interfacing and much ...
all and everything you need to learn MATLAB. basics, plots and graphs, image processing, animation, graphical user interfacing and much more
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Unos apuntes basicos sobre las integrales
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Simple Coordinate Geometry notes
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The notes are on Lasers for the subject Engineering Physics for Engineering Students.
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A very simple proof showing why the square root of 2 is an irrational number
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A very simple proof showing why the square root of 2 is an irrational number.
Suitable for high schools and ...
A very simple proof showing why the square root of 2 is an irrational number.
Suitable for high schools and university students.
Will suit also those younger students which are more adept to mathematics
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Basic math formulas for students.
Language: hungarian.
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It will bew very use full for people
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These notes describe and explain matrices, determinants, Cramer's Rule, and minors and cofactors. In addition, these notes provide step by ...
These notes describe and explain matrices, determinants, Cramer's Rule, and minors and cofactors. In addition, these notes provide step by step examples on how to find the determinants of 2 x 2, 3 x 3, and n x n matrices.
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Basic concepts of integration in a simplified manner.
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These notes describe and explain matrices, determinants, Cramer's Rule, and minors and cofactors. In addition, these notes provide step by ...
These notes describe and explain matrices, determinants, Cramer's Rule, and minors and cofactors. In addition, these notes provide step by step examples on how to find the determinants of 2 x 2, 3 x 3, and n x n matrices.
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These notes describe and explain matrices, determinants, Cramer's Rule, and minors and cofactors. In addition, these notes provide step by ...
These notes describe and explain matrices, determinants, Cramer's Rule, and minors and cofactors. In addition, these notes provide step by step examples on how to find the determinants of 2 x 2, 3 x 3, and n x n matrices.
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This is a MOCK - ENTRY TEST which is designed in a way that students can get a overall view ...
This is a MOCK - ENTRY TEST which is designed in a way that students can get a overall view and structure of Entry Tests of number of Engineering Institutes.
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27 clear and concise pages that summarise the "Statistics for Economists" module of King's College London. These were made using ...
27 clear and concise pages that summarise the "Statistics for Economists" module of King's College London. These were made using both lectures and information from the text book. Useful to rise for Exam and to study concepts in a fast and effective way.
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Midpoint, Distance, Point of Slope, Standard form, Bionomie Factor, Sum of Sn, Last term Sequence
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This PDF
- there are 2 pages
- C programming code about Change Base of Number
- 67 line coding to change #1 ...
This PDF
- there are 2 pages
- C programming code about Change Base of Number
- 67 line coding to change #1 base a become #2 base b
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This is for Calculus 1/2 and Technical Calculus Students in College
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For Calculus 1/2 and Technical Calculus students
Shows you how to find the boundaries as well as the area between the ...
For Calculus 1/2 and Technical Calculus students
Shows you how to find the boundaries as well as the area between the curves on a graph
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For Calculus 1/2 and Technical Calculus
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For Calculus 1/2 and Technical Calculus
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Calculus 1/2 and Technical Calculus
Show you how to find the volume under the curve of a graph
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Calculus 1/2 and Technical Calculus
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Calculus 1/2 and Technical Calculus
Shows you the break down of each one and the rule
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this PDF will provide you full notes of discrete mathematics subject ! it's easy way to understand critical solution in ...
this PDF will provide you full notes of discrete mathematics subject ! it's easy way to understand critical solution in easy way ! try it
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These notes present the situation of trade creation where the impact on supply and demand is analysed when a world ...
These notes present the situation of trade creation where the impact on supply and demand is analysed when a world tariff is abolished which lowers the price. In addition to this, the situation of trade diversion is explained which is a situation in which trade is diverted from a more efficient exporter towards a less efficient one by the formation of a free trade agreement or a customs union.
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A very simple proof showing why the square root of 2 is an irrational number. Suitable for high schools and ...
A very simple proof showing why the square root of 2 is an irrational number. Suitable for high schools and university students. Will suit also those younger students which are more adept to mathematics.
2 pages.
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Assignment 1 + solution for ECOR 1606 Problem Solving and Computers.
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Mathematics revision notes for high school students with some important concepts and formulas. good for any kind of entrance tests ...
Mathematics revision notes for high school students with some important concepts and formulas. good for any kind of entrance tests preprations
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goes over all conic sections from my analytic geometry class and their formulas and how to use them
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goes over different transformations and how to rotate them, and determinants
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analytic geometry help with vectors, planes, and 3d
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how to transform and rotate different conic sections
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The notes provides concepts & formulas on trigonometric functions. There are large number of worked out examples on various problems ...
The notes provides concepts & formulas on trigonometric functions. There are large number of worked out examples on various problems involving trigonometric functions. A large set of practive problems are provided with full detailed solution to each one of them provided separetly
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Permutation : Permutation means arrangement of things. The word arrangement is used, if the order of things is considered.
Combination: Combination ...
Permutation : Permutation means arrangement of things. The word arrangement is used, if the order of things is considered.
Combination: Combination means selection of things. The word selection is used, when the order of things has no importance
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Puzzles For Programming Interviews . It contains puzzles with easy explanations that are asked in interviews of many IT companies ...
Puzzles For Programming Interviews . It contains puzzles with easy explanations that are asked in interviews of many IT companies such as Google, Amazon, Microsoft, etc.
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rules of limits and theorems relating to them and functions
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Guide to Delta Epsilon (used for AP Calculus BC)
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Here are some Mathematics term and there meanings, hope you find there's useful
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In this section of notes I show you how to derive the quadratic formula from the quadratic equation.
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This one is really helpful for boards.
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this has plenty of ques and ans to clear ur doubts.
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Exam Paper Of Universiti Utara Malaysia
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1.A poll conducted by Malaysians Social Club found that most Malaysians are convinced that political corruption is a major problem. ...
1.A poll conducted by Malaysians Social Club found that most Malaysians are convinced that political corruption is a major problem. In the poll, 1002 adults were surveyed. Two of the questions and the summarized responses to these questions are illustrated in TABLE 1.
2.The data in TABLE 2, is the average tuition and fees at public institutions in the year 2011 for the 50 for the 50 Selangor states. Question: Construct a stem and leaf diagram for the data. Find the value of Mean Median& Mode. Construct a frequency table using Sturge’s rule.d. Based on the table constructed in, find: mean &Median.
3.In 2011, 50 bicycle riders died in fatal accidents in Malaysia. TABLE 3 gives the relative frequency for the ages of these 50 riders.
Question: Find the frequency and cumulative frequency for the ages of the riders. Construct an ogive more than for the ages of the riders. label the first and third quartile. Calculate the inter quartile range. Find the numbers of died riders whose age is more than 40 years.....
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This is the common core final exam review, the questions and answers to them. This curriculum is used for 6th ...
This is the common core final exam review, the questions and answers to them. This curriculum is used for 6th graders in New York for schools who use Common Core. This is only the review packet, but the exam is EXTREMELY similar to it.
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A detailed guide to trigonometry that you can use till Grade 10 or Secondary 4!
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Breaks down the little elements to understand the application of probability; furthermore, twenty-four questions included with solutions!
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Great little refresher for GCSE and A Level students
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it is a complete reference of the tree data structure. It presents a comprehensive look at the ideas, analysis, and ...
it is a complete reference of the tree data structure. It presents a comprehensive look at the ideas, analysis, and implementation details of data structures as a specialized topic in applied algorithms. This book examines efficient ways to realize query and update operations on sets of numbers, intervals, or strings by various data structures, including search trees, structures for sets of intervals or piecewise constant functions, orthogonal range search structures, heaps, union-find structures, dynamization and persistence of structures, structures for strings, and hash tables. Instead of relegating data structures to trivial material used to illustrate object-oriented programming methodology, this is the first volume to show data structures as a crucial algorithmic topic. Numerous code examples in C and more than 500 references
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Easiest set of revision notes to take in. Part of my school project. These notes are for Secondary and GCSE ...
Easiest set of revision notes to take in. Part of my school project. These notes are for Secondary and GCSE Maths. Trust me you'll benefit. (You can report me if you don't benefit!)
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A PDF file containing the different sampling techniques and their definitions followed by examples and a few tables. 5 pages ...
A PDF file containing the different sampling techniques and their definitions followed by examples and a few tables. 5 pages
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Stat. Sampling Techniques w/ samples
A PDF file containing the different sampling techniques and their definitions followed by examples and a ...
Stat. Sampling Techniques w/ samples
A PDF file containing the different sampling techniques and their definitions followed by examples and a few tables. 5 pages
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Shows the following Reasons and Statements of a Given.
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This handout consists of summarised biology notes and this basically "Respiration". Do you want to excell in biology? Well the ...
This handout consists of summarised biology notes and this basically "Respiration". Do you want to excell in biology? Well the ball lies right in your hands.
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This book contains more than 30 solved exercises and past questions and answers from the course outline which include sets, ...
This book contains more than 30 solved exercises and past questions and answers from the course outline which include sets, Venn diagrams, probability theory, probability measures and axioms, Bayes theorem, probability distribution and expectation and many more.
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Learn how to calculate and estimate labour force,factory overhead and everything related.
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A comprehensive section of notes for Emission Lines in Astronomy / Astrophysics studied at undergraduate level.
Emission, spectra, terminology, transitions, intersteller ...
A comprehensive section of notes for Emission Lines in Astronomy / Astrophysics studied at undergraduate level.
Emission, spectra, terminology, transitions, intersteller medium, stromgern sphere, luminosity, flux, ionization, potential
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in this railway ticket reservation project ful coding in c++ is given.
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Equivalent Propositions, Arguments, Rules of Inference
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Here you will learn to recognize if a function is called continuous in the closed interval(and also the opened ...
Here you will learn to recognize if a function is called continuous in the closed interval(and also the opened interval ) or not . Hope it's good .
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Well after this course , you will be able to do all limits and differentiability exercices . These are ...
Well after this course , you will be able to do all limits and differentiability exercices . These are the basics of Mathematics ,so i guess you should understand it very well .
And hopefully this file will make you a real mathematicien .
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Here you will learn all techniques of Integration.
And i am sure you will be able to integrate all the functions ...
Here you will learn all techniques of Integration.
And i am sure you will be able to integrate all the functions you work with . Hope you like it !! .
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Teaches you how to solve numerical problems using graphing, substitution and elimination there are also a few word problems. ...
Teaches you how to solve numerical problems using graphing, substitution and elimination there are also a few word problems.
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Word problems using graphing, substitution and elimination.
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Math 132 9.4 calculus homework. Ball State University
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Math 132 9.5 calculus notes/homework. Ball State University
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Final Review for Microeconomics, 1st year class notes, from top 30 liberal arts college class
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This book contains detailed description of stochastic processes with examples
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Edexcel A2 level organic chemistry notes
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Good examples for chapter 1 Solid mechanics with solution. Really Helpful!
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3rd year economics course. Questions are part of study guides used for 4 exams during semester. Each set of questions ...
3rd year economics course. Questions are part of study guides used for 4 exams during semester. Each set of questions covers 3 -5 chapters worth. Study these as exams are almost identical in some cases
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Study notes and problem sets from eco class at institution I attend in USA. Might be useful to you. 3rd ...
Study notes and problem sets from eco class at institution I attend in USA. Might be useful to you. 3rd year advanced level economics about USA. If you are familiar with these, they come directly from tests..
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Normal Distribution Approximation
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short theory of force and dispacement
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Basic notes covering the entire mechanics section of physics. Includes notes on theory, experiments, definitions, derivations and examples of equations ...
Basic notes covering the entire mechanics section of physics. Includes notes on theory, experiments, definitions, derivations and examples of equations you will encounter. Aimed mainly at 1st year students, however can be used by all as a refresher to the basis of physics mechanics.
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with correction sure with under the 80 exercice it will help u to solve every exercice
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ملف يحتوي على الدوال العددية والرياضيات
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الملمقف لبلحبل ةبثقهخ يسب منيسبت صخه ثتةس سي
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Basis to Light, Sound and Wave subjects in Physics. Includes experiments, definitions, derivations and theory on the subject in detail. ...
Basis to Light, Sound and Wave subjects in Physics. Includes experiments, definitions, derivations and theory on the subject in detail. Aimed at all levels for a basic understanding of the principles of these subjects. They are accompanied by diagrams and condensed for easy studying.
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Notes for Heat and Temperature subjects in Physics. Includes essential theory, experiments and definitions of which are all condensed and ...
Notes for Heat and Temperature subjects in Physics. Includes essential theory, experiments and definitions of which are all condensed and accompanied with diagrams for easy studying. Aimed at all levels for a principle understanding of these subjects.
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Simultaneous Equation (substitution and elimination methods) 100% CORRECT
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These are some notes I prepared for automated Tsunami Source Modelling using Sweeping Window Positive Elastic Net.
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These are some notes on automated Tsunami source modelling using sweeping window positive elastic net.
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this is an exam of national school ENSAM 2005
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Réduction des Formes quadratiques
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la d'etermination de l’equation réduite d’une conique
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Just a quick introduction into the world of trigonometry
I'll go much deeper in depth in future tutorials
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un livre qui peut aider tous les étudiants, spécialement les étudiants de mathématique. La surface de ce livre est facile, ...
un livre qui peut aider tous les étudiants, spécialement les étudiants de mathématique. La surface de ce livre est facile, il contient plus de 2050 exercices avec solutions détaillées, méthodes et rappel de les leçons.
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Included- rules for factoring
Based on Honors Algebra 1 class, also used to Honors Algebra 2 class
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Philosophy 2302
Mostly informal logic and fallacies.
... for more clarification I have a recording of the classes I attended
... email ...
Philosophy 2302
Mostly informal logic and fallacies.
... for more clarification I have a recording of the classes I attended
... email me at kyndalle.baskin@gmail.com for the audio file.
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integration,Continuité uniforme,Sommes de Riemann,Propriétés de l’intégrale,Intégrales fonctions de leurs bornes..
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nice book help you in mathematics and special in the chapitre of Suites , Séries and integral
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if you want to study mathematics then you're in the right place
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Lessons in physics and nuclear transformations. And summaries of professors
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Lessons in physics and nuclear transformations. And summaries of professors
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المتتاليات العدديةNumerical sequences
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Its all about simple and compound interest.Simple interest is calculated only on the principal amount of a loan. Compound interest ...
Its all about simple and compound interest.Simple interest is calculated only on the principal amount of a loan. Compound interest is calculated on the principal amount and also on the accumulated interest of previous periods, and can thus be regarded as “interest on interest.
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These notes are about choosing the correct statistical test for the data you have.
They are in a grid format.
Also includes ...
These notes are about choosing the correct statistical test for the data you have.
They are in a grid format.
Also includes how to run the test in SPSS.
Based around statistics in Psychology but may also be useful for other subjects which used SPSS and statistics.
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utilisation d'Algorithme de Gréville.
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SIGNALS & SYATEMS NOTES FOR ELECTRONICS ENGINEERING STUDENTS.
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Its all about the explanation of root.
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There are several Leafsnap app in circulation at present. This is my independent work on this topic on a small ...
There are several Leafsnap app in circulation at present. This is my independent work on this topic on a small dataset that resulted in almost 100% success in identifying the plant from the leaf structure.
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This problem set that i have created contains varied range of problems on newton's laws of motion starting with the ...
This problem set that i have created contains varied range of problems on newton's laws of motion starting with the basics to advanced problems. This is aimed at intermediate level for BASIC course for students aiming to prepare for INTERNATIONAL PHYSICS OLYMPIAD and also for college level physics course.
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Mathematics Notes Chapter 2
Inverse Trigonometric Functions.
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Properties of Integrals and Average Value
AP Calculus AB
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Image processing is a method to convert an image into digital form and perform some operations on it
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These notes cover all of Vector Geometry (dot products, cross products, etc.)
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These notes cover Subspaces in Linear Algebra
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These notes cover spanning sets (spans) and Linear Independence
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These notes cover the first part of Bases in Linear Algebra
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These notes cover the second part of Bases
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These notes cover Linear Systems
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These notes cover the first part of Matrices
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These notes cover the second part of Matrices
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These notes cover the first part of Orthogonal Bases
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These notes cover the concepts of Inverses and Determinants
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These notes cover all of Determinants and Eigenvalues
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These notes cover the first part of Diagonalization
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These notes cover the second part of Diagonalization
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These notes cover all of Linear Transformations
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The PDF is provided for you to analyze and solve complicated mathematical equation.
Inlcuded:
1. Different Identities
2. Problem with solutions
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In the PDF includes different mathematical equations that with solutions for you to review and gives the ability to analyze ...
In the PDF includes different mathematical equations that with solutions for you to review and gives the ability to analyze & solve different sets of equations.
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Statics is a branch of mechanics which studies the effects and distribution of forces of rigid bodies which are and ...
Statics is a branch of mechanics which studies the effects and distribution of forces of rigid bodies which are and remain at rest. In this area of mechanics, the body in which forces are acting is assumed to be rigid. The deformation of non-rigid bodies is treated in Strength of Materials.
In the PDF i have uploaded there is a set of word problems with given solutions.
There's also 2 problems provided for you to practice what you have read on the PDF
for more details & info this is my email "smillare01.SM@gmail.com"
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the basics you nee to know about numbers
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Comprehensive notes on the topic "Capital Investment" from the module Managerial Accounting at Kingston University.
Year at University: 3rd (Level 6)
COVERS:
Accounting ...
Comprehensive notes on the topic "Capital Investment" from the module Managerial Accounting at Kingston University.
Year at University: 3rd (Level 6)
COVERS:
Accounting Rate of Return
Payback Period
Discounted Payback Period
Net Present Value
The notes contain descriptions and example questions with solutions and examples from previous exams.
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Comprehensive notes on the topic "Activity Based Costing" from the module Managerial Accounting at Kingston University.
Year at University: 3rd (Level ...
Comprehensive notes on the topic "Activity Based Costing" from the module Managerial Accounting at Kingston University.
Year at University: 3rd (Level 6)
Lots of typical exam questions with answers to show how to do the calculations, together with comments and explanations.
ABC is compared to traditional costing systems (absorption and marginal costing)
I used these notes to study for my exam and I received 94%
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Comprehensive notes on the topic "Divisional Performance" from the module Managerial Accounting at Kingston University.
Year at University: 3rd (Level 6)
COVERS:
Return ...
Comprehensive notes on the topic "Divisional Performance" from the module Managerial Accounting at Kingston University.
Year at University: 3rd (Level 6)
COVERS:
Return on Investment (ROI)
Residual Income (RI)
- Advantages and disadvantages
- Formulae and calculations
- Exam questions and answers
- Comments and explanations
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Comprehensive notes on the topic "Marginal and Absorption Costing" from the module Managerial Accounting at Kingston University.
Year at University: 3rd ...
Comprehensive notes on the topic "Marginal and Absorption Costing" from the module Managerial Accounting at Kingston University.
Year at University: 3rd (Level 6)
Lots of example questions with answers and calculations
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Note based for students preparing their intermediate physics with concept oriented or for some big competition.
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learn how to use the order of operations (PEMDAS) so that you can solve both hard and easy math problems ...
learn how to use the order of operations (PEMDAS) so that you can solve both hard and easy math problems
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University of Toronto lecture number 1
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These notes are for Algebra 1 students. Yes, they were made by me, but I no longer need them. With ...
These notes are for Algebra 1 students. Yes, they were made by me, but I no longer need them. With these notes, you will be able to understand elimination by multiplication, in a simple and fast way.
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This is a worked example of a rent gradient problem. It clearly shows how to obtain the slope and the ...
This is a worked example of a rent gradient problem. It clearly shows how to obtain the slope and the height. Perfect for LSE students taking GY201 or students at other universities studying urban economics.
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Perfect for GY201 Students (it is literally the solution to one of the problem sets). Also useful for anyone studying ...
Perfect for GY201 Students (it is literally the solution to one of the problem sets). Also useful for anyone studying rent gradient mathematically.
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Perfect for GY201 Students (London School of Economics- it is literally the solution to one of the problem sets). Also ...
Perfect for GY201 Students (London School of Economics- it is literally the solution to one of the problem sets). Also useful for anyone studying rent gradient mathematically.
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get more info. on the types of numbers
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AS level Mathematics. Notes contain explanations of all topics and techniques in the module with worked examples. Typed up and ...
AS level Mathematics. Notes contain explanations of all topics and techniques in the module with worked examples. Typed up and diagrams are provided where applicable (eg. forces diagrams)
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The Best Trick
Every multiplication has a twin, which may be
easier to remember.
For example if you forget 8×5, you might
remember 5×8. ...
The Best Trick
Every multiplication has a twin, which may be
easier to remember.
For example if you forget 8×5, you might
remember 5×8. This way, you only have to
remember half the table.
Tricks by Number
to multiply
by
Trick
2
add the number to itself (example 2×9 = 9+9)
5
the last digit goes 5, 0, 5, 0, ...
is always half of 10× (Example: 5x6 = half of 10x6 =
half of 60 = 30)
is half the number times 10 (Example: 5x6 = 10x3 =
30)
6
when you multiply 6 by an even number, they both
end in the same digit.
Example: 6× 2=12, 6×4=24, 6×6=36, etc
9
the last digit goes 9, 8, 7, 6, ...
your hands can help! Example: to multiply 9 by 8,
hold your 8th finger down, and count "7" and "2", the
answer is 72
is 10× the number minus the number. Example: 9×6 =
10× 6−6 = 60−6 = 54
when you add the answer's digits together, you get 9.
Example: 9×5=45 and 4+5=9. (But not with 9×11=99)
10
put a zero after it
11
up to 9x11: just repeat the digit (Example: 4x11 = 44)
for 10x11 to 18x11: write the sum of the digits
between the digits
Example: 15x11 = 1 (1+5)5 = 165
Note: this works for any two-digit number, but when
the sum of the digits is more than 9, we need
to" carry the one". Example: 75x11 = 7(7+5)5 = 7(12)5
= 825.
12
is 10× plus 2×
Remembering Squares Can Help
This may not work for you, but it worked for me. I like
remembering the squares (where you multiply a
number by itself):
1×1=1
2×2=4
3×3=9
4×4=16
5×5=25
6×6=36
7×7=49
8×8=64
9×9=81
10×10=100
11×11=121
12×12=144
And this gives us one more trick. When the numbers
we are multiplying are separated by 2 (example 7 and
5), then multiply the number in the middle by itself
and subtract one. See this:
5×5 = 25 is just one bigger than 6×4 = 24
6×6 = 36 is just one bigger than 7×5 = 35
7×7 = 49 is just one bigger than 8×6 = 48
8×8 = 64 is just one bigger than 9×7 = 63
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In order to solve geometric word problems, you will
need to have memorized some geometric formulas
for at least the basic shapes ...
In order to solve geometric word problems, you will
need to have memorized some geometric formulas
for at least the basic shapes (circles, squares, right
triangles, etc). You will usually need to figure out
from the word problem which formula to use, and
many times you will need more than one formula for
one exercise. So make sure you have memorized any
formulas that are used in the homework, because
you may be expected to know them on the test.
Some problems are just straightforward applications
of basic geometric formulae.
The radius of a circle is 3 centimeters. What is
the circle's circumference?
The formula for the circumference C of a circle with
radius r is:
C = 2(pi)r
...where "pi" (above) is of course the number
approximately equal to 22 / 7 or 3.14159. They gave me
the value of r and asked me for the value of C, so I'll
just "plug-n-chug":
C = 2(pi)(3) = 6pi
Then, after re-checking the original exercise for the
required units (so my answer will be complete):
the circumference is 6pi cm.
Note: Unless you are told to use one of the
approximations for pi, or are told to round to some
number of decimal places (from having used the "pi"
button on your calculator), you are generally
supposed to keep your answer in "exact" form, as
shown above. If you're not sure if you should use the
"pi" form or the decimal form, use both: "6pi cm, or
about 18.85 cm".
A square has an area of sixteen square
centimeters. What is the length of each of its
sides?
The formula for the area A of a square with side-
length s is:
A = s2
They gave me the area, so I'll plug this value into the
area formula, and see where this leads:
16 = s2
4 = s
After re-reading the exercise to find the correct units,
my answer is:
The length of each side is 4 centimeters...
Most geometry word problems are a bit more
involved than the example above. For most exercises,
you will be given at least two pieces of information,
such as a statement about a square's perimeter and
then a question about its area. To find the solution,
you will need to know the equations related to the
various pieces of information; you will then probably
solve one of the equations for a useful bit of new
information, and then plug the result into another of
the equations.
In other words, geometry word problems often aren't
simple one-step exercises like the one shown above.
But if you take all the information that you've been
given, write down any applicable formulas, try to find
ways to relate the various pieces, and see where this
leads, then you'll almost always end up with a valid
answer.
A cube has a surface area of fifty-four square
centimeters. What is the volume of the cube?
The formula for the volume V of a cube with edge-
length e is:
V = e3
To find the volume, I need the edge-length. Can I use
the surface-area information to get what I need? Let's
see...
A cube has six sides, each of which is a square; and
the edges of the cube's faces are the sides of those
squares. The formula for the area of a square with
side-length e is A = e2. There are six faces so there are
six squares, and the cube's total surface area SA
must be:
SA = 6e2
Plugging in the value they gave me, I get:
54 = 6e2
54 / 6 = (6e2) / 6
9 = e2
3 = e
Since the volume is the cube of the edge-length, and
since the units on this cube are centimeters, then:
the volume is 27 cubic centimeters, or 27 cc, or 27
mL
A circle has an area of 49pi square units. What is
the length of the circle's diameter?
The formula for the area A of a circle with radius r is:
A = (pi)r2
I know that radius r is half of the length of the
diameter d, so:
49pi = (pi)r2
(49pi) / pi = [(pi)r2] / pi
49 = r2
7 = r
Then the radius r has a length of 7 units, and:
the length of the diameter is 14 units
Warning: You can not assume that you will always be
given all the geometric formulae on your tests. At
some point, you will need to know at least some of
them "by heart". The basic formulae you should
know include the formulae for the area and
perimeter (or circumference) of squares, rectangles,
triangles, and circles; and the surface areas and
volumes of cubes, rectangular solids, spheres, and
cylinders. Depending on the class, you may also need
to know the formulae for cones and pyramids. If
you're not sure what your instructor expects, ask
now.
Sometimes geometry word problems wrap the
geometry in a thick layer of "real life". You will need
to be able to "see" the geometry, and extract the
relevant information.
Suppose a water tank in the shape of a right
circular cylinder is thirty feet long and eight
feet in diameter. How much sheet metal was
used in its construction?
What they are asking for here is the surface area of
the water tank. The total surface area of the tank will
be the sum of the surface areas of the side (the
cylindrical part) and of the ends. If the diameter is
eight feet, then the radius is four feet. The surface
area of each end is given by the area formula for a
circle with radius r: A = (pi)r2. (There are two end
pieces, so I will be multiplying this area by 2 when I
find my total-surface-area formula.) The surface area
of the cylinder is the circumference of the circle,
multiplied by the height: A = 2(pi)rh.
Side view of the cylindrical tank, showing the radius
"r".
An "exploded" view of the tank, showing the three
separate surfaces whose areas I need to find.
Then the total surface area of this tank is given by:
2 ×( (pi)r2 ) + 2(pi)rh (the two ends, plus the cylinder)
= 2( (pi) (42) ) + 2(pi) (4)(30)
= 2( (pi) × 16 ) + 240(pi)
= 32(pi) + 240(pi)
= 272(pi)
Since the original dimensions were given in terms of
feet, then my area must be in terms of square feet:
the surface area is 272(pi) square feet.
By the way, this is one of those exercises that doesn't
translate well into "real life". In reality, the sheet
metal has thickness, and adjustments would be
required in order to account for this thickness. For
example, if you needed to figure out the amount of
sheet metal required to create a tank with a certain
volume, you'd have to account for the fact that the
volume is on the inside, while the surface area is on
the outside. Since the walls of a real-world tank have
thickness, the real-world answer would not match the
"ideal" mathematical one.
A piece of 16-gauge copper wire 42 cm long is
bent into the shape of a rectangle whose width
is twice its length. Find the dimensions of the
rectangle. ADVERTISEMENT
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Do I care that the wire is made of copper, or that the
wire is a length of sixteen-gauge? No; all I care is that
the length is forty-two units, that the units are
centimeters, that the rectangle is twice as long in one
direction as the other, and that I'm supposed to find
the values of each of these directions. I can ignore
the other information.
Since the wire is 42 centimeters long, then the
perimeter of the rectangle is 42 centimeters. That is:
2L + 2W = 42
I also know that the width is twice the length, so:
W = 2L
Then: Copyright © Elizabeth Stapel 2000-2011 All Rights Reserved
2L + 2(2L) = 42 (by substitution for W from the above equation)
2L + 4L = 42
6L = 42
L = 7
Since the width is related to the length by W = 2L, then
W = 14, and the rectangle is 7 centimeters long and
14 centimeters wide.
A circular swimming pool with a diameter of 28
feet has a deck of uniform width built around it.
If the area of the deck is 60(pi) square feet, find
its width.
I have this situation:
A pool is
surrounded by a deck.
The pool has radius 14,
and the deck has width "d ".
If the diameter of the pool is 28, then the radius is 14.
The area of the pool is then:
(pi)r2 = (pi)(14)2 = 196(pi)
Then the total area of the pool plus the surrounding
decking is:
196(pi) + 60(pi) = 256(pi)
Working backwards from the area formula, I can find
the radius of the whole pool-plus-deck area:
256(pi) = (pi)r2
256 = r2
16 = r
Since I already know that the pool has a radius of 14
feet, and I now know that the whole area has a radius
of 16, then clearly:
the deck is two feet wide.
If one side of a square is doubled in length and
the adjacent side is decreased by two
centimeters, the area of the resulting rectangle
is 96 square centimeters larger than that of the
original square. Find the dimensions of the
rectangle.
I'm starting from a square with sides of some
unknown length. The sides of the rectangle are
defined in terms of that unknown length. So I'll pick a
variable for the unknown side-length, create
expressions for the rectangle's sides, and then work
from there.
square's side length: x
one side is doubled: 2x
next side is decreased by two: x – 2
square's area: x2
rectangle's area: (2x)(x – 2) = 2x2 – 4x
new area is 96 more than old area: 2x2 – 4x = x2 + 96
2x2 – 4x = x2 + 96
x2 – 4x – 96 = 0
(x – 12)(x + 8) = 0
x = 12 or x = –8
I'm supposed to find the dimensions of a rectangle,
so can I just erase that one "minus" sign and say that
the rectangle is 12 by 8? No! I defined "x" as standing
for the side length of the square, not as one of the
sides of the rectangle. Looking back at my definitions,
I see what "x = 12" (the only reasonable solution for
the square) means that the sides of the rectangle
have lengths 2(12) and (12) – 2:
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Basic Integration
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Trigonometric and Inverse Trigonometric Integration
Exponential Function
Trigonometric Transformation
U-Substitution
Improper Integrals
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Was used in Electronics ...
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this notes are aimed at engineering 2nd year level projects in computer ...
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this notes are aimed at engineering 2nd year level projects in computer science engineering.
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Many signal processing problems can in fine be formulated as convex optimization problems of the ...
Proximal Splitting Methods in Signal Processing
Many signal processing problems can in fine be formulated as convex optimization problems of the form.
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Proximal Splitting Methods in Signal Processing
Many signal processing problems can in fine be formulated as convex optimization problems of the ...
Proximal Splitting Methods in Signal Processing
Many signal processing problems can in fine be formulated as convex optimization problems of the form.
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Want to ask some questions to your friends which they can't answer?
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For students who have first year in Geometry
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The math notes are under the geometry subject, biology is marine science, and history is AP world history. All these ...
The math notes are under the geometry subject, biology is marine science, and history is AP world history. All these notes will help you succeed these classes. In addition, I will include rubrics for AP world history and the reference sheets for geometry.
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Subject content are for 3rd year students.
random experiment, sample space, events and probability of event.
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Subject Contents are for 2nd and 3rd year students.
Chapter:-2 Random Variables.
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Subject contents are for 2nd and 3rd year student.Full notes concise and precise material.Good for Last minute preparation
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A mathematical exploration of parabolas, their properties, and their uses.
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A complete exploration of mathematical probabilities in Texas Hold’em.
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Revenue Management notes for business focused on hospitality industry but applicable to general business. Notes for bachelor degree exams. ...
Revenue Management notes for business focused on hospitality industry but applicable to general business. Notes for bachelor degree exams.
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This outline will assist with a basic understanding of graphing. (Helpful for many areas of math, especially Algebra classes an ...
This outline will assist with a basic understanding of graphing. (Helpful for many areas of math, especially Algebra classes an Pre-Calculus)
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This outline will assist in a basic understanding of mathematical graphing. base equations, Domain and Range, intercepts, and helpful hints ...
This outline will assist in a basic understanding of mathematical graphing. base equations, Domain and Range, intercepts, and helpful hints are included to further your understanding. (Helpful for many basic math courses, such as Algebra and Pre-Calculus)
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notes that were taken during lecture of Math 111
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Thorough examples of sequences, convergence, divergence, definitions, The Squeeze Theorem, Alternating Series, Geometric Sequence, Telescopic, Partial Sums, Harmonic and Divergence ...
Thorough examples of sequences, convergence, divergence, definitions, The Squeeze Theorem, Alternating Series, Geometric Sequence, Telescopic, Partial Sums, Harmonic and Divergence test. (2o pages)
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A note that produced by opentuition.com
Introduction to Accounting. The Statement of Financial Position and Statement of Profit or Loss.
Double Entry ...
A note that produced by opentuition.com
Introduction to Accounting. The Statement of Financial Position and Statement of Profit or Loss.
Double Entry Bookkeeping
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Level of notes: 3rd year
Info: This compilation of notes gives you details about the real-life application of Mathematics and several ...
Level of notes: 3rd year
Info: This compilation of notes gives you details about the real-life application of Mathematics and several arguments why Math is a subject to be enjoyed and can be applied in real life events.
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during this class, i clearly take down all notes instructor writing on the blackboard. in the final section, it is ...
during this class, i clearly take down all notes instructor writing on the blackboard. in the final section, it is important for me because it is my final exam review section. Hope this note will help you all.
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during this class, i clearly write down all notes instructor writing on the blackboard. in the final section, it is ...
during this class, i clearly write down all notes instructor writing on the blackboard. in the final section, it is of vital importance for me. because it is my final exam review. Hope this note will help you all.
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this lesson is for people that want to developpe his tools
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"Application of probability to real life situation", is a practical tool that uses the knowledge of mathematics and statistics to ...
"Application of probability to real life situation", is a practical tool that uses the knowledge of mathematics and statistics to solve logical problems that we usually encounter in everyday's life situation. It practically described the concept of probability and its application in solving real life situation as related to mathematics. This note unvails the concepts behind mathematical and statistical probability, very interesting and thrilling because, it deals more on logic.
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Mathematical probability act as a tool is solving probability related problems as far as mathematics is concern. it emphasizes on ...
Mathematical probability act as a tool is solving probability related problems as far as mathematics is concern. it emphasizes on several areas of mathematical probability and how it is related to set theory. it also deals with permutation and combination coupled with the logic behind it.
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this note is very amazing with so much logistics. it embraces normal distribution, hypothesis formulation and testing, mathematical expectations and ...
this note is very amazing with so much logistics. it embraces normal distribution, hypothesis formulation and testing, mathematical expectations and diagrams that expresses so much ideas. it analyses on statistical probability and apply it to real life situation with suitable diagrams.
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notes is very benificial to prepare the you examination
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A good student course in metric space topology for university students
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Part1
Some Math Exercise For You or Your Children
(Must Be Printed!)
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This Is How You Divide A Decimal Number
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Discusses the evolution of the Universe through concepts such as scale factor, density factor, matter-dominated/radiation-dominated scenarios, etc.
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These notes are comprehensively good for focused students. They are basically put in quiz form for practicing your class work, ...
These notes are comprehensively good for focused students. They are basically put in quiz form for practicing your class work, and basically for 2nd year students
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This is a great study guide for AP calculus students. I got a 5 on the exam with some review ...
This is a great study guide for AP calculus students. I got a 5 on the exam with some review of this sheet. It includes formulas and basic explanations.
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Electromagnetic fields, optics (refraction, reflexion), mirrors and lenses, superposition of waves, special relativity, relativistic energy, electromagnetic radiation, Compton effect, atomic ...
Electromagnetic fields, optics (refraction, reflexion), mirrors and lenses, superposition of waves, special relativity, relativistic energy, electromagnetic radiation, Compton effect, atomic models and quantum mechanics.
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Sequences (unit sample, unit step, exponential...), frequency domain, discrete time systems (ideal, linear, time invariant), characteristics of those systems (casualty, ...
Sequences (unit sample, unit step, exponential...), frequency domain, discrete time systems (ideal, linear, time invariant), characteristics of those systems (casualty, stability, etc), LTI Systems, impulse response, differential equations, Fourier Transforms, Z Transform and properties, convergence, sampling, linear phase FIR, filters.
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BJT Differential Pair (formulas and analysis), current sources, Widlar source, OPAM 741 (how it works, what's inside), basic circuits with ...
BJT Differential Pair (formulas and analysis), current sources, Widlar source, OPAM 741 (how it works, what's inside), basic circuits with OPAMs, linear applications with OPAMs (voltage to current and current to voltage converters), filters, Butterworth and Chebyshev filters (analysis and equations), low and high pass filters with OPAMs, bandpass filter, oscillators, real characteristics of OPAMs.
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This following extended essay studies the factors affecting the centre of gravity on the stability of an object in an ...
This following extended essay studies the factors affecting the centre of gravity on the stability of an object in an inclined position. The investigation was thought of after observing a rollover accident of a heavy-duty truck in an inclined highway.
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A freight elevator is used to carry heavy-duty goods, which weigh above 2000 Kg. Therefore, I analyzed the freight elevator ...
A freight elevator is used to carry heavy-duty goods, which weigh above 2000 Kg. Therefore, I analyzed the freight elevator (vehicle elevators) of my society. This elevator is used to transport cars to and from the respective person’s parking lot. Vehicular elevators are used majorly in buildings with limited space to move cars in to the parking garage. Hence, in order to create more parking space we have created storeyed buildings in which these elevators are used. My society’s freight elevator has a capacity of 2.5 tons.
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This study guide will take you from basic statistical principles such as study designs to when to use specific tests, ...
This study guide will take you from basic statistical principles such as study designs to when to use specific tests, how to read SPSS output, and how to conduct statistical analyses. Odds ratios, Confidence Intervals, T-Tests, Chi Square Tests, Mann Whitney U Tests, Fisher's Exact test, Wilcoxon Ranked Test, McNemar Test, Linear Regression, Correlations, Multiple Regression, and dummy coding are all covered. These notes came from the Research Methods course at King's College London at the Masters level. These were used for the final exam; as a result I received a distinction mark (equivalent to 4.0 GPA USA).
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These notes cover some of the basic mathematical concepts for Physicists, including Matrices and Operators, Fourier Spaces and Transforms, Sturm-Liouville ...
These notes cover some of the basic mathematical concepts for Physicists, including Matrices and Operators, Fourier Spaces and Transforms, Sturm-Liouville Operators, Partial Differential Equations, and basic Probability and Statistics.
The 70 pages of text is written in LaTeX, and is properly indexed. There are worked examples and derivations for all of the concepts covered.
These notes are based on the second year MPhys courses "Mathematical Methods" (lectured by John Magorrian) and "Probability and Statistics" at the University of Oxford.
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These notes cover some of the basics of Thermodynamics (Some Definitions, The Zeroth Law, The First Law, The Second Law, ...
These notes cover some of the basics of Thermodynamics (Some Definitions, The Zeroth Law, The First Law, The Second Law, Thermodynamic Relations, Thermodynamics of Other Materials), Further Thermodynamics (Real Gases, Phase Transitions and Equilibria), Kinetic Theory (Statistical Descriptions of Gas, Distributions and Isotropy, Particle Flux, Collisions, Transport, Local Equilibrium) and Statistical Mechanics (Basic Principles, The Canonical Ensemble, The Grand Canonicle Ensemble, The Ideal Gas, Quantum Gases, The Photon Gas).
The 105 pages of text is written in LaTeX, and is properly indexed. There are worked examples and derivations for all of the concepts covered.
These notes are based on the second year MPhys courses "Thermodynamics" , "Further Thermodynamics" (lectured by Julien Devriendt), "Kinetic Theory" and "Statistical Mechanics" (lectured by Alexander Schekochihin) at the University of Oxford.
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These notes cover some of the basic concepts in Electromagnetism I (Electric Fields in Matter, Magnetic Fields in Matter, Boundary ...
These notes cover some of the basic concepts in Electromagnetism I (Electric Fields in Matter, Magnetic Fields in Matter, Boundary Conditions, Potentials, Electromagnetic Waves in a Vacuum, Electromagnetic Waves in Linear Media, Electromagnetic Waves in Conductors, Dispersion and Plasmas), Electromagnetism II (Radiation, Electromagnetism and Special Relativity, Transmission Lines) and Optics (Fraunhoffer Diffraction, Spectroscopic Instruments, Polarisation).
The 71 pages of text is written in LaTeX, and is properly indexed. There are worked examples and derivations for all of the concepts covered.
These notes are based on the second year MPhys courses "Electromagnetism" (lectured by Caroline Terquem) and "Optics" (lectured by Alex Khun) at the University of Oxford.
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These notes cover some of the basics of Quantum Mechanics, including Introduction (Quantum States, Operators and Observables, The Position Representation, ...
These notes cover some of the basics of Quantum Mechanics, including Introduction (Quantum States, Operators and Observables, The Position Representation, The Momentum Representation), The Schrodinger Equations (TISE, TDSE, Probability Current, Ehrenfest's Theorem), Quantum Mechanics and Waves (A General Framework, The Potential Step, Square Well, The Dirac-Delta Well), The Quantum Harmonic Oscillator (The Hamiltonian and Operators, Stationary States, Wave-functions of Stationary States, Dynamics of Oscillators), Angular Momentum (Symmetries and Conservation Laws, Orbital Angular Momentum, Spin Angular Momentum, Composite Systems, The Hydrogen Atom), Perturbation Theory (Time-Independent Perturbation Theory, The Variational Principle, Time-Dependent Perturbation Theory, Transitions and Selection Rules, Atoms in a Weak Magnetic Field) and Multiple Particle Systems (Exchange Symmetry, The Helium Atom, The Periodic Table).
The 95 pages of text is written in LaTeX, and is properly indexed. There are worked examples and derivations for all of the concepts covered.
These notes are based on the second year MPhys courses "Quantum Mechanics" (lectured by Steve Blundell) and "Further Quantum Mechanics" (lectured by John Chalker) at the University of Oxford.
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International Baccalaureate Diploma (IB)
Standard Level Mathematics
Notes on differentiation from first principles.
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lim ((1*3*...* (2n-1))/(2*4*....*(2n)) quand n tend vers + l'infini
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number conversion is all about how a computer work with data converting from binary, hexadecimal, and decimal number system
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A Calculus Worksheet given with questions 3-7 explain fully with extra notes. Diagram is also given. Topic refers to Limits. ...
A Calculus Worksheet given with questions 3-7 explain fully with extra notes. Diagram is also given. Topic refers to Limits.
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Financial ratio analysis is conducted by four groups of analysts: managers, equity investors, long-term creditors and short-term creditors. ...
Financial ratio analysis is conducted by four groups of analysts: managers, equity investors, long-term creditors and short-term creditors. What is the primary emphasis of each of these groups in evaluating ratios?
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Goes into depth on supply and demand, and the different aspects of them. For example the supply and demand curves, ...
Goes into depth on supply and demand, and the different aspects of them. For example the supply and demand curves, and Ceteris Paribus
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the paper is very good for students class 12
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These notes have the basics for trigonometry which include sine, cosine and tangent and the basic sides of a right ...
These notes have the basics for trigonometry which include sine, cosine and tangent and the basic sides of a right angle triangle. These notes will help you learn the basics
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A brief and overall description of functions
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O level Statistics notes from basics.
Includes comprehensive examples and explanations.
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Mathematics for Level 1 Engineering Mathematics
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Probability and Discrete Probability Distribution
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Notes,examples,quiz question and answers
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This note includes basic formulas and definitions
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Correlation is the degree to which 2 or more different variables show a tendency to vary together but remember correlation ...
Correlation is the degree to which 2 or more different variables show a tendency to vary together but remember correlation does not necessarily imply causation (cause and effect).
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All the basics of polygons
Including types of polygons ,polygon types, formulas etc,
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This is a stepping stone for beginners and it create easy access to visual basic programming language. It teaches d ...
This is a stepping stone for beginners and it create easy access to visual basic programming language. It teaches d basic fact about visual basic.
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This helps beginners to get easy flow with visual basic programming language. It is a stepping stone for beginners. ...
This helps beginners to get easy flow with visual basic programming language. It is a stepping stone for beginners.
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In these notes I've covered; Superposition, interference patterns, Young's double slit, stationary waves, nodes & antinodes, harmonics, diffraction and diffraction ...
In these notes I've covered; Superposition, interference patterns, Young's double slit, stationary waves, nodes & antinodes, harmonics, diffraction and diffraction gratings.
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A trinomial distribution for a statistics degree or mathematics statistics option
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This doc contains worked examples and solutions covering mole concept
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notes from differential equation.
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This set of notes goes over basic geometry theory, each type of conditional statement in geometry, and how to write ...
This set of notes goes over basic geometry theory, each type of conditional statement in geometry, and how to write conditional statements!
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This set of notes has a quick run down of geometric Points, Lines, and Planes. The notes also cover vocabulary ...
This set of notes has a quick run down of geometric Points, Lines, and Planes. The notes also cover vocabulary such as collinear, coplanar, etc.
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this book is aimed at those interested in establishing a call centre system or working with an already setup system ...
this book is aimed at those interested in establishing a call centre system or working with an already setup system or if your project topic is based on it.
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This simple document gives is the reasons behind using logs and how they are calculated
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These notes are about analyzing data and go in depth on several topics cognate to data analysis.
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These notes cover all aspects of speed and has a list of helpful formulas that you should have memorized.
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A SMART WAY TO LEARN ENGLISH VOCABULARY with 1000+ WORDS COVERED: IBPS PO(ALL BANK), SSC CGL,SAT, GRE, CAT, IELTS, and ...
A SMART WAY TO LEARN ENGLISH VOCABULARY with 1000+ WORDS COVERED: IBPS PO(ALL BANK), SSC CGL,SAT, GRE, CAT, IELTS, and TOEFL We believe that language has the power to open doors and close gaps. Our mission: Expand access to education and Understanding through vocabulary instruction. For us, it’s not just about the words, it’s about improving literacy. Almost all important vocabs are covered with Hindi explanation . This book is mainly written to help aspirant of bank , IBPS PO(ALL BANK), SSC CGL , SAT, GRE, CAT, IELTS, and TOEFL to get good marks in vocabulary section.
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A SMART WAY TO LEARN ENGLISH VOCABULARY with 1000+ WORDS COVERED: IBPS PO(ALL BANK), SSC CGL,SAT, GRE, CAT, IELTS, and ...
A SMART WAY TO LEARN ENGLISH VOCABULARY with 1000+ WORDS COVERED: IBPS PO(ALL BANK), SSC CGL,SAT, GRE, CAT, IELTS, and TOEFL
We believe that language has the power to open doors and close gaps. Our mission: Expand access to education and Understanding through vocabulary instruction. For
us, it’s not just about the words, it’s about improving literacy.
Almost all important vocabs are covered with Hindi explanation . This book is mainly written to help aspirant of bank , IBPS PO(ALL BANK), SSC CGL , SAT, GRE, CAT, IELTS, and TOEFL to get good marks in vocabulary section.
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This note is something different..because serial no start 10A 730044..
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water management and treatment is the first chapter that is taught in the university of India so i have gather ...
water management and treatment is the first chapter that is taught in the university of India so i have gather some notes for the students of these university so that they can easily study from my notes. there notes are very easy to understnd and the students can score good marks in their exam
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The note is for 1st year students. College Algebra lecture note by Attila Berczes.
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A lecture note by Hovart Gabor. It is gonna help you alot.
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Notes of the entry level linear algebra class MAT223 taught at UofT, course coordinator is Nicholas Hoell.
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A basic(but extensive) review of all integrtation concepts for class 12 mathematics ,including formulaes
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A basic review of all the integration concepts of class 12 in a summarised and convienient manner at a very ...
A basic review of all the integration concepts of class 12 in a summarised and convienient manner at a very low price.
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Having an endogenous explanatory variable is a big problem in any statistical and econometric analysis. These notes shall cover:
CONTROLLING FOR ...
Having an endogenous explanatory variable is a big problem in any statistical and econometric analysis. These notes shall cover:
CONTROLLING FOR ENDOGENEITY
• REGRESSION DISCONTINUITY
• RANDOMISED CONTROLLED TRIALS
• IV
o ASSUMPTION OF INSTRUMENT EXOGENEITY
o ASSUMPTION OF INSTRUMENT RELEVANCE
DETECTING ENDOGENEITY: HAUSMAN-WU TEST
(These notes are suitable for any introductory econometrics course from any degree discipline across the undergraduate level.)
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This book contains lot of c++ programmes usefull to all c++ basic learners and next level ...
This book contains lot of c++ programmes usefull to all c++ basic learners and next level learners also.............
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THIS IS GOOD NOTES FOR BEGINERS OF C LANGUAGE ( 1 ST YEAR DIPLOMA ,1-ST YEAR COMPUTER ENGINEERING,BCA,MCA,MSC COMPUTER ...
THIS IS GOOD NOTES FOR BEGINERS OF C LANGUAGE ( 1 ST YEAR DIPLOMA ,1-ST YEAR COMPUTER ENGINEERING,BCA,MCA,MSC COMPUTER SCIENE STUDENTS
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First Year Calculus taught in University of Toronto Canada
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A basic introduction of high school math for those who have forgotten
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A basic introduction to fractions with examples.
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this is a mind map of the topic Charges. you will get formulas for eletric field, force of electron and ...
this is a mind map of the topic Charges. you will get formulas for eletric field, force of electron and some constants
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Alternating currents are all around us. This mindmap provides you info on the types AC circuits. RC circuits, RLC circuits ...
Alternating currents are all around us. This mindmap provides you info on the types AC circuits. RC circuits, RLC circuits and what's important are in the notes. please download the second part, i only sell my notes for 50 cents so it'll be 25 cents each
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Easy to read, clear, concise and easily understandable notes, for people who don't have the time to read through lengthy ...
Easy to read, clear, concise and easily understandable notes, for people who don't have the time to read through lengthy textbooks. Suitable for Year 1 University students and up, and requires little background understanding.
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Aimed at first year University students and up, these notes can be used by students of a lower level than ...
Aimed at first year University students and up, these notes can be used by students of a lower level than that easily, due to their easily readable, easily understandable, clear, concise and easy-to-understand style. No need to read through textbooks, because these are proof read and fully functional as their own topic, and are comprehensive enough to provide a superior introduction to the topic of Differential Equations.
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i am a professor and i write PDFs for all undergraduate in the field of mathematics (CALCULUS,REAL ANALYSIS and PROBABILITY) ...
i am a professor and i write PDFs for all undergraduate in the field of mathematics (CALCULUS,REAL ANALYSIS and PROBABILITY) and economics(microeconomics and intermediate economics).i also put project analysis PDFs
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Exponential and Logarithmic Inequalities
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One to one Functions and Inverse Functions
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This reviewer will help you understand Exponential and Logarithmic Inequalities.
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detailed notes on how to create most if not all of the accounts needed in a business enterprise
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Basics about Highest Common Factor
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an example of simple Entity Relationship Diagram (ERD)
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Notes for the comp3008 machine learning course at Southampton University
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Dear Students,
...
Dear Students,
Here i provide you the notes as well as textual question n answers for Science first lesson Alternative Sources of Energy. I'll be even providing you all a set of question bank for your preparation for the final examination shortly.
Thank you.
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6.3 limit of function
7.3 point of discontinuity (include x-y chart)
8.3 derivative dy / dx
9.3 derivative and second derivative with parametric ...
6.3 limit of function
7.3 point of discontinuity (include x-y chart)
8.3 derivative dy / dx
9.3 derivative and second derivative with parametric equation
10.3 minimal / maximum value of function on [a; b]
11.3 function analysis with differential calculus method
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1.3 There is function. To prove that d2z / dx ^ 2 + d2z / dy ^ 2 = 0
2.3 ...
1.3 There is function. To prove that d2z / dx ^ 2 + d2z / dy ^ 2 = 0
2.3 z = f (x, y) and A (x0, y0), B (x1, y1)
3.3 analysis for extremum of function
4.3 Scalar field z = f (x, y) and A1 (x1, y1), A2 (x2, y2)
5.3 method of least squares. evaluate approximate function
6.3 indefinite integral
7.3 definite integral
8.3 improper integral. convergence
9.3 evaluate area of the figure
10.3 evaluate arc length
11.3 evaluate solid volume (figure rotation)
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1.3 general solution of first-order differential equation
2.3 general solution of second-order differential equation
3.3 particular solution of the differential equation
4.3 general ...
1.3 general solution of first-order differential equation
2.3 general solution of second-order differential equation
3.3 particular solution of the differential equation
4.3 general solution of equations with the help of the characteristic equation + matrix form
5.3 evaluate area of the figure by a double integral in polar coordinates
6.3 evaluate volume of the solid by a triple integral
7.3 calculate the line integral
8.3 w = f (z), z = x + iy -> w = u (x, y) + iv (x, y)
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1.3 convergence of numerical series
2.3 evaluate interval of convergence of numerical series
3.3 calculate the definite integral up to 0.001
4.3 find ...
1.3 convergence of numerical series
2.3 evaluate interval of convergence of numerical series
3.3 calculate the definite integral up to 0.001
4.3 find the first three terms of the expansion in a power series
5.3 expand the function in a Fourier series
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Notes designed for Physics/Chemistry GCSE. Includes the structure of the atom including information about protons, neutrons, and electrons. How to ...
Notes designed for Physics/Chemistry GCSE. Includes the structure of the atom including information about protons, neutrons, and electrons. How to calculate the number of protons, neutrons, and electrons in an atom and information about isotopes.
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50 solved integration problems which cover most basic integration ideas. they are great use for first and second year students. ...
50 solved integration problems which cover most basic integration ideas. they are great use for first and second year students.
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Your guide to GCSE mathematics for Circles, Circle Theorems and exam-style questions
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Explanation of solving homogeneous and non homogeneous second order linear differential equations using both method of undetermined coefficient. and method ...
Explanation of solving homogeneous and non homogeneous second order linear differential equations using both method of undetermined coefficient. and method of variation of parameters
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Computer Architecture is a prerequisite for all 300 Level or HND 1 Students to offer in their first year.
The Course ...
Computer Architecture is a prerequisite for all 300 Level or HND 1 Students to offer in their first year.
The Course is a work of A Professor and in accordance with the requirements for the award of First Degree or Higher National Diploma in Computer/Mathematics/Statistics Department with an easily understandable nature.
It gives you a complete guide and knowledge of how the computer system was developed, manufactured and pre-programmed using binary digits, i.e 0 and 1 respectively.
I have searched the internet consecutively and noticed that courses of such are difficult to get, in this veil, I advice all Computer/Mathemetics/Statistics Student who come across this eBook as well as Course Note.
For complaints or inquiry, please send a mail to joysesam212@gmail.com
Enjoy Your Write-Up!!!
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Comprehensive and original notes on quantum mechanics for those who aspire to think beyond our very environment
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A detailed work on chromatography and simple to assimilate
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It is the notes of some problem solved about the matrix problems.
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This book helps in learning new way of solving any complex problem of aptitude
This book is an excellent book if ...
This book helps in learning new way of solving any complex problem of aptitude
This book is an excellent book if you want to become an expert in both quantitative and reasoning aptitude. Quantitative and reasoning domain tests your ability to use numbers and mathematical concepts to solve mathematical problems as well as your ability to analyse data presented in variety of ways. Make your skills sharpen in quantitative and reasoning aptitude and learn new ways of solving any complex problem. It will help you to not only solve mathematical problems but also logical reasoning problems.
There are three parts of this book.
Part 1 : Quantitative Aptitude
Part 2 : Data Sufficiency
Part 3: Reasoning Aptitude
Part 1 : Quantitative Aptitude: The chapters that are covered in quantitative aptitude are as follows:
Averages
Percentage
Decimal Fraction
Time and Work
Time and Distance
Exponent
Ratio and Proportion
Probability
Permutations and combinations
Simple Interest and Combined interest
Part 2 : Data Sufficiency
Part 3 :Reasoning Aptitude: The chapters that are covered in reasoning aptitude are as follows:
Number Series
Analogies
Logical Reasoning
Statement and Assumption
Letter and Symbol series
Artificial Language
Cause and Effect
If you are planning to give GRE/GMAT/SAT or any other competitive exams then this book really help you more.
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This book is an excellent book if you want to become an expert in both quantitative and reasoning aptitude. Quantitative ...
This book is an excellent book if you want to become an expert in both quantitative and reasoning aptitude. Quantitative and reasoning domain tests your ability to use numbers and mathematical concepts to solve mathematical problems as well as your ability to analyse data presented in variety of ways. Make your skills sharpen in quantitative and reasoning aptitude and learn new ways of solving any complex problem. It will help you to not only solve mathematical problems but also logical reasoning problems.
There are three parts of this book.
Part 1 : Quantitative Aptitude
Part 2 : Data Sufficiency
Part 3: Reasoning Aptitude
Part 1 : Quantitative Aptitude: The chapters that are covered in quantitative aptitude are as follows:
Averages
Percentage
Decimal Fraction
Time and Work
Time and Distance
Exponent
Ratio and Proportion
Probability
Permutations and combinations
Simple Interest and Combined interest
Part 2 : Data Sufficiency
Part 3 :Reasoning Aptitude: The chapters that are covered in reasoning aptitude are as follows:
Number Series
Analogies
Logical Reasoning
Statement and Assumption
Letter and Symbol series
Artificial Language
Cause and Effect
So if you are planning to give GRE/GMAT/SAT or any other competitive exams then you should study this book.
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This notes provide you total concept of log on the basis of indices with proof you ever seen in any ...
This notes provide you total concept of log on the basis of indices with proof you ever seen in any book
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For MEI AS level. Use Ctrl+F and type GS-notes to find other notes in the series.
All notes are typed ...
For MEI AS level. Use Ctrl+F and type GS-notes to find other notes in the series.
All notes are typed up, with diagrams where appropriate (eg. forces diagrams). Worked examples for every topic.
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For MEI Further Mathematics. Use Ctrl+F and type GS-notes to find other notes in the series.
All notes are typed ...
For MEI Further Mathematics. Use Ctrl+F and type GS-notes to find other notes in the series.
All notes are typed up, with diagrams where appropriate (eg. forces diagrams). Worked examples for every topic.
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For MEI AS level Mathematics. Use Ctrl+F and type GS-notes to find other notes in the series.
All notes are ...
For MEI AS level Mathematics. Use Ctrl+F and type GS-notes to find other notes in the series.
All notes are typed up, with diagrams where appropriate (eg. forces diagrams). Worked examples for every topic.
These notes contain integration techniques and examples only.
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For MEI AS Mathematics. Use Ctrl+F and type GS-notes to find other notes in the series.
All notes are typed ...
For MEI AS Mathematics. Use Ctrl+F and type GS-notes to find other notes in the series.
All notes are typed up, with diagrams where appropriate (eg. forces diagrams). Worked examples for every topic.
These notes contain trigonometry only.
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For MEI AS Mathematics. Use Ctrl+F and type GS-notes to find other notes in the series.
All notes are typed ...
For MEI AS Mathematics. Use Ctrl+F and type GS-notes to find other notes in the series.
All notes are typed up, with diagrams where appropriate (eg. forces diagrams). Worked examples for every topic.
These notes contain vectors only.
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For MEI AS level. Use Ctrl+F and type GS-notes to find other notes in the series.
All notes are typed ...
For MEI AS level. Use Ctrl+F and type GS-notes to find other notes in the series.
All notes are typed up, with diagrams where appropriate (eg. forces diagrams). Worked examples for every topic.
These notes contain content on data analysis (mean squared deviation, skew etc) only.
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For MEI AS level. Use Ctrl+F and type GS-notes to find other notes in the series.
All notes are typed ...
For MEI AS level. Use Ctrl+F and type GS-notes to find other notes in the series.
All notes are typed up, with diagrams where appropriate (eg. forces diagrams). Worked examples for every topic.
These notes contain content on probability (nCr, hypothesis testing etc) only.
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ALL INEQUALITIES FOR ALL OLYMPIAD EXAMS FROM LOCAL TO INTERNATIONAL
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This study guide displays the basic rules, formulas, and definitions of terms and equations you will learn In a semester ...
This study guide displays the basic rules, formulas, and definitions of terms and equations you will learn In a semester of Chemistry. Specifically Molecules, Moles, Solutions, Chemical Reactions, Stoichiometry, and Acids and Bases
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This study guide displays the basic rules, formulas, and definitions of terms and equations you will learn In a semester ...
This study guide displays the basic rules, formulas, and definitions of terms and equations you will learn In a semester of Chemistry. Specifically Molecules, Moles, Solutions, Chemical Reactions, Stoichiometry, and Acids and Bases.
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This study guide displays the basic rules, formulas, and definitions of terms and equations you will learn In a semester ...
This study guide displays the basic rules, formulas, and definitions of terms and equations you will learn In a semester of Chemistry. Specifically Molecules, Moles, Solutions, Chemical Reactions, Stoichiometry, and Acids and Bases
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Easy solution to volume problems without having to undergo integration formulas.
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for stdents of class 11 by kunal
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It talks about the importance of writing Synthesis and how to do it
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DEAR SIR/MADAM,
PFA DOCUMENT, IN NEW 500RS NOTE I HAVE 786 HOLY NUMBER AT THE END.
IT IS HOLY IN MUSLIM MYTHOLOGY ...
DEAR SIR/MADAM,
PFA DOCUMENT, IN NEW 500RS NOTE I HAVE 786 HOLY NUMBER AT THE END.
IT IS HOLY IN MUSLIM MYTHOLOGY AND INDIVIDUALS WISH TO KEEP NOTES..
PLEASE MAKE IT AN AUCTION, IF ANY ONE IS INTERESTED PLEASE CONTACT ME....
--
Regards,
Kishore.B.R
9886045749
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This is how to calculate for the forces acting on coplanar bodies or stationary bodies. This can also be used ...
This is how to calculate for the forces acting on coplanar bodies or stationary bodies. This can also be used to determine the magnitude and direction of a resultant force
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Notes include steps on dividing/rationalizing radicals and conjugates, plus more examples and practice questions.
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Pre-calculus: Solving Systems of Equations Algebraically using Substitution Method.
Notes include steps, plus more examples and practise problems.
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Introduction to first-year mathematical analysis.
Topics covered:
- Basics of proofs
- Properties of Limits
- Definition of Convergence
- Bolzano-Weierstrass Theorem
- Sequences and their ...
Introduction to first-year mathematical analysis.
Topics covered:
- Basics of proofs
- Properties of Limits
- Definition of Convergence
- Bolzano-Weierstrass Theorem
- Sequences and their properties
- Series and their properties
- Functions and their properties
- Continuity
- Intermediate Value Theorem and its applications
- Differentiation
- Mean Value Theorem and its applications
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notes are aimed at 1st year college. Specifically treatment of cystic fibrosis using gene therapy
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binomial theorem, tutorials, and problems solving.
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A look at quantitative research methods like ANOVA and multiple regression, along with the SPSS breakdown for them.
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This was the notes which has the mathematics values for intermediate maths
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Very basic slide of notes on how transforming graphs works for GCSE or equivalent. Explained in clear simple terms ...
Very basic slide of notes on how transforming graphs works for GCSE or equivalent. Explained in clear simple terms with pictures and bullet point rules.
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it contains all the topics which you need for class 11 mathematics paper , it is itself a paper , ...
it contains all the topics which you need for class 11 mathematics paper , it is itself a paper , you will be happy and can also be confused during solving this paper or we can say it to be a worksheet for the practise at home . if you study even in a very good school you will pass .
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all this note explains is the law of distributive also there will be bed-mas, integers,perimeter and area
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the note contains the following; Bedmas, integers, poly and mono mail, perimeter and area
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in this note i'll be showing you step by step how to solve a fraction in case you forgot.
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esy way to learn mathes formulas. a group of mathes formulas.
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it is the easy way to learn formulas. a collection of math's formulas.
easy learning.............
happy learning.............
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Short method on solving limits, aimed at those who are starting limits in Calc AB
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EdexceL AS and A Level modular Mathematics -2, c2
A complete study notes of
Chapter 3
Exponential and Logarithms
Prepared by
Dr Kehkashan ...
EdexceL AS and A Level modular Mathematics -2, c2
A complete study notes of
Chapter 3
Exponential and Logarithms
Prepared by
Dr Kehkashan Hasan
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Edexcel As And A Level modular mathematics -2, c2
A complete study notes of
Chapter 5
Binomial Expansion
PrepareD BY
Dr. Kehkashan Hasan
...
Edexcel As And A Level modular mathematics -2, c2
A complete study notes of
Chapter 5
Binomial Expansion
PrepareD BY
Dr. Kehkashan Hasan
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EdexceL As And A Level modular Mathematics -2, c2
A complete study notes of
Chapter 3
Exponential and Logarithms
Prepared by
Dr. Kehkashan Hasan
...
EdexceL As And A Level modular Mathematics -2, c2
A complete study notes of
Chapter 3
Exponential and Logarithms
Prepared by
Dr. Kehkashan Hasan
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Very useful notes for A level Mechanics - Dynamics F=ma chapter.
All type of question and answers come with this note.
I ...
Very useful notes for A level Mechanics - Dynamics F=ma chapter.
All type of question and answers come with this note.
I have more notes of all A level maths algebra, geometry, trigonometry , mechanics etc.
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Questions that might come up in the Oxford University Prelims (Paper V)
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Perfect for those who are doing AQA physics. This is the first part of many. These notes were made using ...
Perfect for those who are doing AQA physics. This is the first part of many. These notes were made using the specification and the book. Hope they're helpful :)
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This is for people who do not understand pi.
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This topic is very important for board exam.
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Full of the desciption and example! I got this file from my lecturer.
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Rings topic in Algebra 2
University of Reading MA2ALG Algebra 2 course
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This set of notes focuses on the area, perimeter and volume of triangles, parallelograms and compound shapes. It has a ...
This set of notes focuses on the area, perimeter and volume of triangles, parallelograms and compound shapes. It has a vocabulary list, explanations, examples and a couple of practice questions. It is aimed at GCSE students but may even be of use to people taking lower level courses at a university.
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This chapter contain all topic of electromagnetic wave... Which is important for 12 the board exam.
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Important questions of limits and derivatives.
3 markers , 4 markers , 6 markers.
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These notes are typed notes and are very useful for gaining knowledge about matrices which are very useful for studying ...
These notes are typed notes and are very useful for gaining knowledge about matrices which are very useful for studying matrices.
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Basic description of several Jovian moons.I have included some pictures as well as describe what moon would be best for ...
Basic description of several Jovian moons.I have included some pictures as well as describe what moon would be best for colonization. These notes are great for basic Astronomy.
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This is a tiny tutorial for The Perl programming language.
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Degree Student - Brunel University - Financial Accounting - Final year - Mid term paper
'Explain the main approaches for ...
Degree Student - Brunel University - Financial Accounting - Final year - Mid term paper
'Explain the main approaches for securities valuations demonstrated in the paper of MM'
Formulas included - necessity for an A - Discussion of the 4 main approaches
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In these notes you can find information about business in general and the economic structures
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this book contains all four chapters for international secondary levels
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By using this tricks you can easily able to find the unit digit of any number... Very useful for competitive ...
By using this tricks you can easily able to find the unit digit of any number... Very useful for competitive exam ....all the best
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All the basics and formulae of calculus including ordinary differential equations, indefinite integration, definite integration, differential calculus
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The Mauritian Rupee is the currency of Mauritius. Our currency rankings show that the most popular Mauritius Rupee exchange rate ...
The Mauritian Rupee is the currency of Mauritius. Our currency rankings show that the most popular Mauritius Rupee exchange rate
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Notes from the full quarter of Phil 102 - Intro to Logic. Includes definitions and examples on famous forms ...
Notes from the full quarter of Phil 102 - Intro to Logic. Includes definitions and examples on famous forms methods, well-formed formulas, truth tables, inference rules, etc.
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This is the revision notes of Financial Markets at King's College London.
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It is a part of the huge topic deferential calculus. In this notes there is mentioned in a detailed manner ...
It is a part of the huge topic deferential calculus. In this notes there is mentioned in a detailed manner about the topic. How to find minima and Maxima, first order test of Maxima and minima, higher order test of Maxima and minima with important illustrations and some significant questions
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Introduction to Audit & Assurance
Headings:
- What an auditor does
- Exemptions are available to smaller companies if
- 5 Elements of ...
Introduction to Audit & Assurance
Headings:
- What an auditor does
- Exemptions are available to smaller companies if
- 5 Elements of an assurance engagement
- The three levels of assurance
- Expectations gap
- The difference between the responsibility of the Directors and Auditor regarding fraud
- Definition of Materiality
- The Agency Theory
- Fiduciary Duty
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Headings :
- The need for regulation Who needs an audit and why?
-Who can act as an Auditor?
- ...
Headings :
- The need for regulation Who needs an audit and why?
-Who can act as an Auditor?
- Who cannot act as an Auditor?
- The big 4 Audit/Accountancy firms
- How an External Auditor is appointed
- How they are removed
- The Auditors 5 rights
- Auditors duties/responsibilities
- Auditing by Exception
- Quality Board of Directors
- UK Corporate Governorate code vs the USA Sarbanes Oxley Act
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Headings:
- The 5 Fundamentals of Ethics
- 5 Ethical Threats That Could Occur
- Safeguards to Protect the Ethics
- The contents ...
Headings:
- The 5 Fundamentals of Ethics
- 5 Ethical Threats That Could Occur
- Safeguards to Protect the Ethics
- The contents of an engagement letter
- How many years the audit partner should be rotated from a client
- The different fee proportion rates before it is seen as intimidation
- Penalties that can be imposed for ignoring the ethical code
- Confidentiality
- Conflict of Interest
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Headings:
- Risk
- What could go wrong?
- Risk based auditing
- Misstatements
- Professional scepticism
- Professional judgement
- Audit Risk Model
- Risk Assessment ...
Headings:
- Risk
- What could go wrong?
- Risk based auditing
- Misstatements
- Professional scepticism
- Professional judgement
- Audit Risk Model
- Risk Assessment Procedures
- Audit Plan
- The need to plan
- Audit Strategy
- Interim Audit V Final Audit
- Materiality
- Determining Materiality
- Performance Materiality
- Tolerable Error
- Fraud
- Laws & Regulations
- Auditor responsibility
- Audit Documentation
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Headings:
- Audit Evidence - ISA 500
- Audit Evidence - Sufficient
- Audit Evidence - Appropriate
- Audit Assertions
- Appropriate
- The Auditor will
- ...
Headings:
- Audit Evidence - ISA 500
- Audit Evidence - Sufficient
- Audit Evidence - Appropriate
- Audit Assertions
- Appropriate
- The Auditor will
- Types of Audit Procedure
- Analytical Procedures used as Substantive Tests
- Sampling
- Audit Sampling Methods
- Computer Assisted Audit Techniques
- Reliance on the work of others
- Reliance on Experts
- Reliance on Internal Auditors
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Headings:
- Systems & Internal Control
- Internal Controls
- Information Technology - Controls
- Control Environment
- What could go wrong?
- Sales ...
Headings:
- Systems & Internal Control
- Internal Controls
- Information Technology - Controls
- Control Environment
- What could go wrong?
- Sales cycle example
- Purchase cycle example
- Wages system example
- Systems documentation
- What if deficiencies are found in internal controls?
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Headings:
- Completion Stages of the Audit
- Subsequent Events
- Material Subsequent event occurs…
- Subsequent Events - Audit Procedures
- Adjusting event ...
Headings:
- Completion Stages of the Audit
- Subsequent Events
- Material Subsequent event occurs…
- Subsequent Events - Audit Procedures
- Adjusting event
- Non - adjusting
- Going concern
- Ongoing Financial Arrangements
- Going Concern Audit Procedures
- Final Analytical review
- Management Letter
- Letter of representations (LOR)
- Opening balances & comparatives
- Final overall file review
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Headings:
- Corporate Governance
- The development of the Codes of Corporate Governance
- The 6 OECD Principles
- Good Corporate Governance: ...
Headings:
- Corporate Governance
- The development of the Codes of Corporate Governance
- The 6 OECD Principles
- Good Corporate Governance: Essential features
- Segregation of roles
- Non-Executive Directors (NEDs)
- Audit Committees
- Risk Management
- Internal control systems
- UK Corporate Governance code
- Current Issues
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Headings:
- The content of an unmodified audit report
- Unmodified Audit Opinion
- Qualified Opinion
- Pervasive
- Adverse opinion
- Disclaimer opinion
- ...
Headings:
- The content of an unmodified audit report
- Unmodified Audit Opinion
- Qualified Opinion
- Pervasive
- Adverse opinion
- Disclaimer opinion
- Modified reports
- Emphasis of Matter paragraph
- Other Matter paragraph
- The Directors Report
- Recent changes to Audit Reports
- The Management Letter
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Headings:
- Profitability Ratios
- Gross profit margin
- Net profit margin
- Return on equity
- Return on capital employed ...
Headings:
- Profitability Ratios
- Gross profit margin
- Net profit margin
- Return on equity
- Return on capital employed (ROCE)
- Efficiency Ratios
- Stock turnover period
- Debtors’ collection period
- Creditors’ payment period
- Asset turnover ratio
- Liquidity Ratios
- Current ratio
- Quick ratio (also known as the Acid test ratio)
- Solvency Ratios
- Gearing ratio
- Interest cover
- Investment Ratios
- Earnings per share (EPS)
- Price earnings (P/E) ratio
- Dividend cover ratio
- Dividend yield
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Headings:
- Long Term Decisions
- Capital Budgeting
- Accounting Rate of Return
- Payback Period
- Time Value of Money
- Net Present Value
- Internal ...
Headings:
- Long Term Decisions
- Capital Budgeting
- Accounting Rate of Return
- Payback Period
- Time Value of Money
- Net Present Value
- Internal Rate of Return (IRR)
- Accounting Rate of Return - Evaluation
- Payback Period - Evaluation
- Net Present Value - Evaluation
- Internal Rate of Return - Evaluation
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Headings:
- Ratio Monitoring
- ABC Stock Control System
- Inventory Management System
- Materials Requirement Planning System
- Just In ...
Headings:
- Ratio Monitoring
- ABC Stock Control System
- Inventory Management System
- Materials Requirement Planning System
- Just In Time System (J.I.T)
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Headings:
- Why are they important?
- Debt Factoring - Long Term
- Advantages and Disadvantages of Debt Factoring
- Invoice Discounting - ...
Headings:
- Why are they important?
- Debt Factoring - Long Term
- Advantages and Disadvantages of Debt Factoring
- Invoice Discounting - Short term
- Advantages and Disadvantages of Invoice Discounting
- Pros and Cons of reinvesting profits to fund growth
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Headings:
- Price Earnings (P/E) Ratio
- Dividend Pay-out Ratio
- Dividend Cover Ratio
- Dividend Yield Ratio
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Headings:
- Earnings Per Share
- Price Per Share
- Price Earnings P/E
- TERP Theoretical Ex Rights Price
- Offer for sale
- Theoretical ...
Headings:
- Earnings Per Share
- Price Per Share
- Price Earnings P/E
- TERP Theoretical Ex Rights Price
- Offer for sale
- Theoretical value (of a right)
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Tutorial Solution Chapter 3: Determinants
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Tutorial Solution Chapter 4: Real Vector Spaces
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Tutorial Solution Chapter 5: Inner Product Spaces
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Tutorial Solution Chapter 6: Linear Transformations
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Tutorial Solution Chapter 7: Eigenvalues and Eigenvectors
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Spectroscopy using the Fourier Transform.
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Precalculus, Polynomial Remainder Theorem
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Precalculus, Quadratic Formula and other theroems
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Calculus
Derivatives - Introduction and Intuition
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Calculus
Derivatives and Integrals - Exercices
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Intuition for the Power Rule (derivatives) and the integral
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Calculus
Derivatives, Correction from previous file
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Using integrals to find the formula of the volume of a 4-dimensional sphere.
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Using integrals to prove the formula of the volume of a pyramid and a cone.
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Using integrals to prove the formula of the area of a circle and an ellipse.
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Using integrals to prove the formula of the volume of a pyramid and a cone
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Le but de ce projet est de démontrer comment exactement les ondes électromagnétiques sont dispersées en passant par différents obstacles. ...
Le but de ce projet est de démontrer comment exactement les ondes électromagnétiques sont dispersées en passant par différents obstacles. Cet obstacle peut être un prisme, un réseau de diffraction, des atomes, des cristaux, de l’eau ou d'autres substances. L’interaction entre la lumière et la matière va entraîner des changements dans le spectre qu’on aurait obtenu s’il n’y avait pas de matière. Ensuite, on va démontrer comment le spectre de la lumière, après avoir passé à travers l’obstacle, peut être utilisé pour tirer des conclusions sur la matière.
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Notes on how to find a part or interest given the percent (interest rate) and the whole (overall).
1 page, covering ...
Notes on how to find a part or interest given the percent (interest rate) and the whole (overall).
1 page, covering a basic 5th/6th grade California State Standard.
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This is the note of complex analysis in university of Manchester.
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this is the required formula to remember for this subject
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It comprises of laboratory reports
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These notes are from 2017 semester 1.
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Class 11 and 12 notes for Physics , Chemistry , and Mathematics.
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Explains how to solve Absolute Value Equations and Absolute Value Inequalities
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Explain how to solve Linear Equations and Linear Inequalities
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Explain how to create and graph a scatter plot along with how to create a least squares line or a ...
Explain how to create and graph a scatter plot along with how to create a least squares line or a line of best fit for the set of data. From Algebra 2, High School Course
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The main circle theorems needed for gcse, a level and ib
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Circle theorems that aren't so well known but needed for gcse, a level and ib
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Everything you need to know about differentiation including the four main rules to follow and maximums and minimums. For gcse, ...
Everything you need to know about differentiation including the four main rules to follow and maximums and minimums. For gcse, a level or ib
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how to add. subtract, multiply and divide fractions
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How to find the gradient between two points. Needed for gcse, a level and ib
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How to use pythagoras theorem for triangles and trigonometry. Only for right angled triangles. For gcse, a level and ib ...
How to use pythagoras theorem for triangles and trigonometry. Only for right angled triangles. For gcse, a level and ib
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How to use the quadratic formula and rearrange equations. for gcse, a level and ib
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THESE ARE NOTES FOR INTRODUCTION TO STATISTICS AND THEY ARE VERY SIMPLIFIED
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Boundary layer theory and flow separation, flow around rigid bodies.
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Introduction to Underground Survey, Aerial Photography, remote sensing and GIS
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Volume of earthworks after soil excavation and their computations
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Investment Appraisal revision note
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1. Share capital
2. Cost of capital
3. Lease finance
calculation revision notes
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Business mathematics - index numbers
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Business mathematics - Location and Dispersion
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Business mathematics - correlation and regression
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Business mathematics - Normal Distribution
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Business mathematics - Break even analysis
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Business mathematics - time value of money
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Accounting Information systems class
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These notes on integration were taken in professor Seceleanu's MATH 162 class at Bridgewater State University. They are neat and ...
These notes on integration were taken in professor Seceleanu's MATH 162 class at Bridgewater State University. They are neat and detailed with the most important techniques of integration through examples and brief explanations.
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Includes key information and formulae for; Index numbers e.g. Laspeyres Index, Paasche Index and retail price index, control charts, quadratic ...
Includes key information and formulae for; Index numbers e.g. Laspeyres Index, Paasche Index and retail price index, control charts, quadratic functions, linear functions, break-even, exponents, logarithms, correlation, regression and modelling
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These are are Biology, chemistry and Mathematics PDF and text book to help you through your sciences research. They are ...
These are are Biology, chemistry and Mathematics PDF and text book to help you through your sciences research. They are mainly A-level and AS level notes.
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these formulas are amazing if you remember these formulas so you can solve evey type of problem
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these all physics formulas are very easy and if you remember these formulas so you can solve every type of ...
these all physics formulas are very easy and if you remember these formulas so you can solve every type of problem
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these are all summary notes for physics all type of classes
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These notes deal with the introduction for maths gamma function in a very simple and understanding language.........more notes incoming
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What is Chemistry?It is new for you read this note to take more information..history of atom
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The summary of this note deal with how to design good algorithms, which is about the mathematical theory behind the ...
The summary of this note deal with how to design good algorithms, which is about the mathematical theory behind the design of good programs,and to study algorithms as pure mathematical objects, and so ignore issues such as programming language, machine, and operating system. This has the advantage of clearing away the messy details that affect implementation. But these details may be very important.
This Lecture note consists of three major sections. The first is on the mathematical tools necessary for the analysis of algorithms. This will focus on asymptotic, summations, and recurrences.The second element will deal with one particularly important algorithmic problem: sorting a list of numbers. We will show a number of different strategies for sorting, and use this problem as a case study in different techniques for designing and analyzing algorithms. The final third of the course will deal with a collection of various algorithmic problems and solution techniques. Finally we will close this last third with a very brief introduction to the theory of NP-completeness. NP-complete problem are those for which no efficient algorithms are known, but no one knows for sure whether efficient solutions might exist.
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Design for As/A level student in mathematics and further pure mathematics,also for student in sciences,engineering,economics
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These notes are for people in college so feel free to buy these notes for a small price
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Waves and Oscillations for undergraduate student
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This includes how our body works and all processes essential for life such as respiration digestion excretion and so on ...
This includes how our body works and all processes essential for life such as respiration digestion excretion and so on
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A short summary with examples on quadratic equations. Ideal for grades 11 & 12 and a good foundation for University ...
A short summary with examples on quadratic equations. Ideal for grades 11 & 12 and a good foundation for University coursework
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Discrete and continuous random variables, binomial distribution, simple random sampling with and without replacement, cumulative distribution functions, uniform distribution, inverse ...
Discrete and continuous random variables, binomial distribution, simple random sampling with and without replacement, cumulative distribution functions, uniform distribution, inverse distribution function, exponential distribution, change of variables, bivariate distribution, conditional distribution, marginal and joint distributions, expectation, variance, standard deviation, covariance and correlation, conditional expectation, normal distribution,
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Key definitions and theorems in analysis. University of Michigan Math 451 (Advanced Calculus).
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Key concepts, definitions and theorems covered in an introductory course in modern algebra. Math 312 at the University of Michigan. ...
Key concepts, definitions and theorems covered in an introductory course in modern algebra. Math 312 at the University of Michigan.
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These notes contain the information about the graphs generally taught in the computer science, usually in discrete structures and data ...
These notes contain the information about the graphs generally taught in the computer science, usually in discrete structures and data structure courses.
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These notes are for grade 6 exams.
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Offers advanced notes on real numbers (surds, logarithms, indices) valuable for Uni students
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11 Pages of notes on topics in the IGCSE/GCSE Mathematics Syllabus, including notes on trigonometry, probability, quadratic equations and more. ...
11 Pages of notes on topics in the IGCSE/GCSE Mathematics Syllabus, including notes on trigonometry, probability, quadratic equations and more. Examples are provided.
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Notes on Introduction to Computers, Computer Systems, Operating Systems, Memory Units and Number Systems and Data and Information.
The coverage is ...
Notes on Introduction to Computers, Computer Systems, Operating Systems, Memory Units and Number Systems and Data and Information.
The coverage is well illustrated with some pictures and diagrams.
At the end there some References for the learner to find them and have more information.
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Physics Semester 2 Notes in preparation for exam. Discusses Fluid Dynamics, Temperature and Heat, Thermodynamics, Electrostatics, Electricity, and Astrophysics. 13 ...
Physics Semester 2 Notes in preparation for exam. Discusses Fluid Dynamics, Temperature and Heat, Thermodynamics, Electrostatics, Electricity, and Astrophysics. 13 Pages. Aimed for high school physics students or for introducing / overviewing mentioned subjects. Good for review and/ or studying.
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these notes are everything you need to know about calculus to pass it easily throughout the semester. I also posted ...
these notes are everything you need to know about calculus to pass it easily throughout the semester. I also posted all the exams i took so you can practice for your exams because they will be almost the same questions but just different numbers.
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Notes include formulas for Area (circles, trapizums and rhombus), trigonometry and pythagoras(SohCahToa and finding missing lengths for triangles), percentage interest, ...
Notes include formulas for Area (circles, trapizums and rhombus), trigonometry and pythagoras(SohCahToa and finding missing lengths for triangles), percentage interest, growth and decay for compounds, quadratic equations, volume of prisms and pyramids and formulas for density, speed and pressure. DISCLAIMER:Some of the notes are tricky to understand and quality of the file dropped during the pdf conversion.
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holt physics notes
chapters 1 to 2
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Basic concept on how to differentiate the inverse of a function with solved examples.
Proof of the formula for finding the ...
Basic concept on how to differentiate the inverse of a function with solved examples.
Proof of the formula for finding the derivative of an inverse function.
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Basic concept on how to find the derivative or differentiation of the inverse of a function. Proof of a formula ...
Basic concept on how to find the derivative or differentiation of the inverse of a function. Proof of a formula for finding the derivative of an inverse function. Solved examples.
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This note show you how to calculate Mean, Median and Mode for both group and non group data. Also, it ...
This note show you how to calculate Mean, Median and Mode for both group and non group data. Also, it show how to calculate harmonic mean, geometric mean and assumed mean of a set of data.
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This are thw key notes for class 11 chapter 1. If you found them useful please provide likes for it ...
This are thw key notes for class 11 chapter 1. If you found them useful please provide likes for it
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JEE MAIN AND ADVANCED notes of logarithm
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I have carefully written and drawn these notes and compiled all the required knowledge for a successful result in A-Level ...
I have carefully written and drawn these notes and compiled all the required knowledge for a successful result in A-Level Maths in 12 pages! Make the most of it and good luck!
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Notes from a second year course on atomic physics and lasers at University of York as part of all physics ...
Notes from a second year course on atomic physics and lasers at University of York as part of all physics degrees.
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Within these notes you will find a comprehensive breakdown and explanation of the content required for Unit C1 of Edexcel ...
Within these notes you will find a comprehensive breakdown and explanation of the content required for Unit C1 of Edexcel A-Level Mathematics (also applicable to other examination boards). All content is presented in a "question-answer", or "flashcard" format e.g. each "chunk" of information is paired with a question which asks for it in order to simplify the revision process. Great care has been taken to ensure that thorough examples are given and that necessary common question technique is revised, whilst also providing interesting derivations and proofs where required to deepen one's understanding of the subject.
This set of notes, alongside relevant practice questions, is sufficient for class revision or self-study of Unit C1.
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Within these notes you will find a comprehensive breakdown and explanation of the content required for Unit C1 of Edexcel ...
Within these notes you will find a comprehensive breakdown and explanation of the content required for Unit C1 of Edexcel A-Level Mathematics (also applicable to other examination boards). All content is presented in a "question-answer", or "flashcard" format e.g. each "chunk" of information is paired with a question which asks for it in order to simplify the revision process. Great care has been taken to ensure that thorough examples are given and that necessary common question technique is revised, whilst also providing interesting derivations and proofs where required to deepen one's understanding of the subject. This set of notes, alongside relevant practice questions, is sufficient for class revision or self-study of Unit C1.
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Base of starting of maths subject
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a note which instruct the research result on calabi flow,including the short time existence,the stable property.
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introduce a proof of atiyah-singer index theory with a method of heat kernel,the advantage of this note is readable and ...
introduce a proof of atiyah-singer index theory with a method of heat kernel,the advantage of this note is readable and easy to understand.
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the note is a introduction to the Ricci flow on a manifold with cones.it is well-known that Ricci flow is ...
the note is a introduction to the Ricci flow on a manifold with cones.it is well-known that Ricci flow is a powerful tool to study smooth manifold.we want to check if it make sense on manifold with cones and what are the difficulties we will faced.
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a readable introduction on Reisz representation theorem and Lax-Milgram theorem.
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a brief introduction to symmetric operator
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Involves the following:
- Fiscal policy
- Impact on S & D Curves
- Substitute Goods
- Tax Receipts
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(Grades 9,10,11)-These notes are presented in Screenshot Slide Format. The viewer will be able to comprehend each problem and or ...
(Grades 9,10,11)-These notes are presented in Screenshot Slide Format. The viewer will be able to comprehend each problem and or lesson from the PDF, as the illustrations are easy to see/follow.
included are "INEQUALITIES" and "EQUATIONS".
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Notes about the summary of lessons about logarithmic equations, functions and its properties
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COMPUTER SCIENCE EASY NOTEST FOR CLASS 12
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Intro to equations of lines and average rate of change. Perfect score of 100%. Essential for students of single variable ...
Intro to equations of lines and average rate of change. Perfect score of 100%. Essential for students of single variable calculus, grade 12 or into to post-secondary level education.
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In this note you will find a Japaness way can help you or your children to multiple 2 numbers without ...
In this note you will find a Japaness way can help you or your children to multiple 2 numbers without calculator and when i said 2 numbers i mean like 45x98, 107x47,or something like this
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These notes were made after a lot of research by me. I made these notes very simple and understandable. Please ...
These notes were made after a lot of research by me. I made these notes very simple and understandable. Please share these asap.
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SOLUTIONS OF CONTEMPORARY ABSTRACT ALGEBRA 6TH EDITION (J. GALLIAN)
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This notes contain topicwise description, formulas, practice questions, full detailed description.
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This is a basic note on electricity and circuits. Basically, it's a branch of Physics focusing on its Electrical aspects ...
This is a basic note on electricity and circuits. Basically, it's a branch of Physics focusing on its Electrical aspects
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A note detailing vector calculus
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questions and answers on the topics, and plenty examples with written solutions, it is like a math textbook but more ...
questions and answers on the topics, and plenty examples with written solutions, it is like a math textbook but more detail involved.
9/10th grade Math Teacher
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Lecture is on I Linear Algebra
II Ordinary Differential Equation
III Laplace Transform
IV Numerical Applications
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Notes across the full year of statistics in preparation for the statistics exam as part of the MSc Mental Health ...
Notes across the full year of statistics in preparation for the statistics exam as part of the MSc Mental Health Studies course.
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integration exercises and answers to further develop integrating skills, this is my notes from university mechanical engineering course
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8th Grade and up- simple notes for finding volume of a cone and some examples.
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All Formulas from Aeronautical engineering board exam review from 2012, Still usable until 2017 . Includes Geometric Formulas , Properties ...
All Formulas from Aeronautical engineering board exam review from 2012, Still usable until 2017 . Includes Geometric Formulas , Properties of Real numbers , Exponent Properties , Arithmetic Operations , Distance Formula , Logarithms , Completing Square , Functions and Graphs; Linear equation, Ellipse and more , Common Algebraic Errors Formulas Identies ,Unit circle , Law of sines, Cosines and Tangents AND MORE
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Here are some Computer Science/Studies on binary, denary and hexadecimal. These notes help you understand binary, denary and hexadecimal; it ...
Here are some Computer Science/Studies on binary, denary and hexadecimal. These notes help you understand binary, denary and hexadecimal; it also guides you on what they all represent (number-wise) and how you can convert them from each other. It also describes and explains what binary, denary and hexadecimal are used for.
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A quick and simple guide on how to expand brackets with ease !
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Colour coded notes from Unit 14 of HL IB Math, Vectors, Haese Mathematics, third edition
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Its has all clear explanations about SAP HANA.
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Evaluation of Indeterminate forms of limits. Clear and concise L'Hopital's Rule discussion. Many examples!
Mathematical Analysis for College Calculus. Evaluating Limits ...
Evaluation of Indeterminate forms of limits. Clear and concise L'Hopital's Rule discussion. Many examples!
Mathematical Analysis for College Calculus. Evaluating Limits at Infinity over Infinity or Zero over Zero.
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Derivatives of and Integrals yielding:
+ inverse circular functions
+ logarithmic functions
+ exponential functions
+ hyperbolic functions
+ inverse hyperbolic functions
Plus, Logarithmic Differentiation.
This is ...
Derivatives of and Integrals yielding:
+ inverse circular functions
+ logarithmic functions
+ exponential functions
+ hyperbolic functions
+ inverse hyperbolic functions
Plus, Logarithmic Differentiation.
This is a comprehensive powerpoint-type PDF notes on these topics. It includes numerous examples and step-by-step solution.
Text is large plus topic color-themed. College calculus. Mathematical Analysis
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+ step-by-step tutorial on evaluating improper integrals
+ convergent or divergent improper integrals
+ many examples with complete solutions
+ comprehensive discussion
+ powerpoint ...
+ step-by-step tutorial on evaluating improper integrals
+ convergent or divergent improper integrals
+ many examples with complete solutions
+ comprehensive discussion
+ powerpoint slides-type pdf
= Mathematical Analysis. College Calculus. College Algebra
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Techniques include a comprehensive step-by-step tutorial on
+ fast integral
+ integration by parts
+ using special powers of trigonometric functions
+ trigonometric substitution
+ ...
Techniques include a comprehensive step-by-step tutorial on
+ fast integral
+ integration by parts
+ using special powers of trigonometric functions
+ trigonometric substitution
+ integration by partial fractions
+ rationalizing substitution
+ half-angle substitution
This is a powerpoint slides-type pdf with many examples that includes complete solution. Text is large enough not to bore the student ;) Have fun studying!
p.s. there are a number of items at the end without solution for a challenge ;)
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Center of Mass of a Rod, Plane Region, or a Solid of Revolution.
Includes a clear and concise discussion, numerous examples, ...
Center of Mass of a Rod, Plane Region, or a Solid of Revolution.
Includes a clear and concise discussion, numerous examples, and their step-by-step solutions.
This is a personalized powerpoint-slides-type pdf with text large enough not to bore the student ;)
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Different ratios in finance notes including formulas as well as explanations
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its for the 4th year students in physics department
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Full Lecture notes for the Credit analysis lecture. This lecture is one part of 10 lectures in the Asset Valuation ...
Full Lecture notes for the Credit analysis lecture. This lecture is one part of 10 lectures in the Asset Valuation module under the master degree of "Finance and investment management".
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This is the module of mathématic 3
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This is the module of mathématic 3
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.The difference between data and information
•What a databaseis, the various types of databases, and why they are valuable assets for ...
.The difference between data and information
•What a databaseis, the various types of databases, and why they are valuable assets for decision making
•The importance of database design
•How modern databases evolved from file systems
•About flaws in file system data management
•The main components of the database system
•The main functions of a database management system
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These notes can help for an up coming quiz on cells so by buying these notes you can safely know ...
These notes can help for an up coming quiz on cells so by buying these notes you can safely know that you can be prepared for that test.
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Calculating time
Distance, Speed and time
The Daily Rigour
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It is a note that is all about Integrating factor.
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It is all about integrating factor
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These LaTeX notes contain full solutions to the problems from the 2011-2016 past papers for the Part B MPhys examination ...
These LaTeX notes contain full solutions to the problems from the 2011-2016 past papers for the Part B MPhys examination in B3: Quantum, Atomic and Molecular Physics. Features colour images of diagrams, as well as full explanations of the steps taken.
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These LaTeX notes contain full solutions to the problems from the 2011-2016 past papers for the Part B MPhys examination ...
These LaTeX notes contain full solutions to the problems from the 2011-2016 past papers for the Part B MPhys examination in B4: Subatomic Physics. Features colour images of diagrams, as well as full explanations of the steps taken.
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These LaTeX notes contain full solutions to the problems from the 2011-2016 past papers for the Part B MPhys examination ...
These LaTeX notes contain full solutions to the problems from the 2011-2016 past papers for the Part B MPhys examination in B5: General Relativity and Cosmology. Features colour images of diagrams, as well as full explanations of the steps taken.
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These LaTeX notes contain full solutions to the problems from the 2011-2016 past papers for the Part B MPhys examination ...
These LaTeX notes contain full solutions to the problems from the 2011-2016 past papers for the Part B MPhys examination in B6: Condensed Matter Physics. Features colour images of diagrams, as well as full explanations of the steps taken.
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These LaTeX notes contain full solutions to the problems from the 2011-2016 past papers for the Part B MPhys examination ...
These LaTeX notes contain full solutions to the problems from the 2011-2016 past papers for the Part B MPhys examination in B2: Symmetry and Special Relativity. Features colour images of diagrams, as well as full explanations of the steps taken.
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These LaTeX notes contain full solutions to the problems from the 2011-2016 past papers for the Part B MPhys examination ...
These LaTeX notes contain full solutions to the problems from the 2011-2016 past papers for the Part B MPhys examination in B1: Flows, Fluctuations and Complexity. Features colour images of diagrams, as well as full explanations of the steps taken.
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It is a solution to a problem in KVL
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If you can't understand Engineering Economy, then download it now!
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1)if – else statement
switch statement
for statement
while statement.
2)MULTIPLE BRANCHING
3)The SWITCH statement for
multiple branching
4)Nesting of Loops
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Most important topic in Numerical methods and analysis.
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Formulas for double and half angles.
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cbse board sample paper in low rate
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For sem 1 bsc course of statistics (part 1)
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For sem 1 bsc course statistics (part 2)
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For Sem1 bsc students from st.xavo college (part 3)
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For sem 1 bsc students for statistics honours (part 4)
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For sem 1 statistics honours bsc course(part 5)
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they contain high level questions with solutions
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Solving all types of algorithms.
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This notes is for Agricultural science, Mathematics and Biology students/Learners. Therefore, recommended for Grade 11 & 12, and first & ...
This notes is for Agricultural science, Mathematics and Biology students/Learners. Therefore, recommended for Grade 11 & 12, and first & second year students from University or College
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A simple guide, aimed at a bwhinger, to the basics of circles, covering:
- Pi
- Calculating the circumference, area, diameter and ...
A simple guide, aimed at a bwhinger, to the basics of circles, covering:
- Pi
- Calculating the circumference, area, diameter and radius.
- Formulas required to calculate the above
- Explanation of the mathematical terms
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introduction of emf due to motion of loop induced current and induced emf
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introduction of emf due to motion of loop induced current and induced emf
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This note collects a whole study of lecture class starting from chapter 1 to 4. The rest of the ...
This note collects a whole study of lecture class starting from chapter 1 to 4. The rest of the notes of the chapters will be upload shortly after. Starting from chapter 1-4, it'll cover a whole lots on scientific methods, theory, matters, atoms, and many more! Easy notes and simple explanations to understand the material, so check it out!
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Quick definitions of Types of Numbers - Ideal for revision!
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Written tutorial with worked examples.
Handwritten but scanned.
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Grade 6-9 gcse maths notes
Written tutorial with worked examples.
Handwritten and scanned.
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Grade 6-9 gcse maths notes
Written tutorial with worked examples.
Handwritten and scanned.
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Grade 6-9 gcse maths notes
Written tutorial with worked examples.
Handwritten and scanned.
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Grade 6-9 gcse maths notes
Written tutorial with worked examples.
Handwritten and scanned.
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Grade 6-9 gcse maths notes
Written tutorial with worked examples.
Handwritten and scanned.
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Grade 6-9 gcse maths notes
Written tutorial with worked examples.
Handwritten and scanned.
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Topics covered include: Graphing, Motion, Optimization, Related Rates, L’Hopital’s Rule, Mean Value Theorem, Rolle’s Theorem, Linear Approximations. Examples and equations. ...
Topics covered include: Graphing, Motion, Optimization, Related Rates, L’Hopital’s Rule, Mean Value Theorem, Rolle’s Theorem, Linear Approximations. Examples and equations.
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A presentation on dynamic hip screws. Includes an introduction with useful statistics, the natural biomechanics of the hip, muscles in ...
A presentation on dynamic hip screws. Includes an introduction with useful statistics, the natural biomechanics of the hip, muscles in the hip, clinical complications with the surgery, diseases of the hip (osteoarthritis, rheumatoid arthritis, dysplasia of the hip, avascular necrosis), non-traumatic femur bone diseases (Perthes disease, Ewing's sarcoma, osteoporosis), information about the impact, material selection, surgical procedure, multiple cannulation screws as a comparison and a conclusion.
Used for my 3rd year at the University of Hull for the Biomaterials and Medical Devices module.
Includes very useful references (Harvard referencing style).
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It was MUST KNOW in your job, even your superior may not know the TOP 10 Excel Secrets In Your ...
It was MUST KNOW in your job, even your superior may not know the TOP 10 Excel Secrets In Your Job!!
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Indefinite Integration along with practice problems.
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here linux command notes for book
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यह नोट्स उत्तर प्रदेश प्रावैधिक शिक्षा परिषद द्वारा संचालित पॉलिटेक्निक प्रवेश परीक्षा में 100% सफलता प्राप्त करने हेतु तैयार ...
यह नोट्स उत्तर प्रदेश प्रावैधिक शिक्षा परिषद द्वारा संचालित पॉलिटेक्निक प्रवेश परीक्षा में 100% सफलता प्राप्त करने हेतु तैयार किए गये हैं| प्रतिदिन नियमित एक नया नोट पढ़ें |हम चैप्टरवाइज तथा सवालों के प्रकार के प्रकार के हिसाब से प्रतिदिन new note आपके लिये प्रस्तुत करेंगे|
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यह नोट उत्तर प्रदेश प्रावैधिक सिक्स परिषद द्वारा संचालित पॉलिटेक्निक प्रवेश परीक्षा हेतु तैयार किए गये हैं ...
यह नोट उत्तर प्रदेश प्रावैधिक सिक्स परिषद द्वारा संचालित पॉलिटेक्निक प्रवेश परीक्षा हेतु तैयार किए गये हैं |
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Must read to be successful in life read it or dont depends on you 💝
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Jackson J. Spielvogel Western Civillization 9th Edition Chapter 12 Notes from the textbook reading. The notes are done in cornell ...
Jackson J. Spielvogel Western Civillization 9th Edition Chapter 12 Notes from the textbook reading. The notes are done in cornell notes form and are useful for studying, contributing to class discussion, etc.
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Brief introduction of Riemann sum (Excellent for the midterm/final exam review)
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Excellent for any exams preparation
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These Notes are for every students.
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Excellent Exam Review of Chapter 6 (Briggs, Cochran, Gillet Calculus (Early Transcendentals (2nd edition)
Topics include:
6.1 Velocity and acceleration
6.2 Region between ...
Excellent Exam Review of Chapter 6 (Briggs, Cochran, Gillet Calculus (Early Transcendentals (2nd edition)
Topics include:
6.1 Velocity and acceleration
6.2 Region between curves
6.3 Volume by slicing
6.4 Volume by shells
6.5 Length of curves
6.6 Surface Area
6.7 Physical applications (mass-density, work, lifting, pressure)
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Excellent Exam Review of Chapter 7 (Briggs, Cochran, Gillet calculus early transcendentals 2ed).
Topics Include:
7.2 Integration by Parts
7.3 Trigonometric Integrals
7.4 Trigonometric ...
Excellent Exam Review of Chapter 7 (Briggs, Cochran, Gillet calculus early transcendentals 2ed).
Topics Include:
7.2 Integration by Parts
7.3 Trigonometric Integrals
7.4 Trigonometric Substitution
7.5 Integration by Partial Fractions
7.8 Improper Integrals
7.9 Introduction to Differential Equations
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These notes are for every student. These notes tell you calculation of small numbers.
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These notes are for every students. These notes tell you calculating method of squareroot of large numbers.
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Excellent Exam Review of Parametric Equations and Polar Coordinates (Briggs, Cochran, Gillet calculus early transcendentals 2ed).
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These notes are for every students. These notes tell you calculating method of decimal numbers.
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These notes are for every students and use full for engineering entrance exam.
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Excellent Exam Review of Chapter 2 (Briggs, Cochran, Gillet calculus early transcendentals 2ed).
Topics Include:
2.1 The Idea of Limits
2.2 Definition of ...
Excellent Exam Review of Chapter 2 (Briggs, Cochran, Gillet calculus early transcendentals 2ed).
Topics Include:
2.1 The Idea of Limits
2.2 Definition of Limits
2.3 Limits Laws, and Computing Limits
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Excellent Exam Review of Chapter 2 (2nd part) (Briggs, Cochran, Gillet calculus early transcendentals 2ed).
Topics Include:
2.4 Infinite Limits
2.5 Limits at ...
Excellent Exam Review of Chapter 2 (2nd part) (Briggs, Cochran, Gillet calculus early transcendentals 2ed).
Topics Include:
2.4 Infinite Limits
2.5 Limits at Infinity
2.6 Continuity
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Excellent Very Detailed Exam Review of Chapter 7 (Briggs, Cochran, Gillet calculus early transcendentals 2ed).
Topics Include:
3.1 Introduction to Derivatives
3.2 Working ...
Excellent Very Detailed Exam Review of Chapter 7 (Briggs, Cochran, Gillet calculus early transcendentals 2ed).
Topics Include:
3.1 Introduction to Derivatives
3.2 Working with Derivatives
3.3 Initial Rules of Differentiation
3.4 Product and Quotient Rules
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Excellent Detailed Exam Review of Chapter 2 (2nd part) (Briggs, Cochran, Gillet calculus early transcendentals 2ed).
Topics Include:
3.5 Derivative of Trigonometric ...
Excellent Detailed Exam Review of Chapter 2 (2nd part) (Briggs, Cochran, Gillet calculus early transcendentals 2ed).
Topics Include:
3.5 Derivative of Trigonometric Functions
3.6 Derivatives as Rates of Change
3.7 The Chain Rule
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Excellent Detailed Exam Review of Chapter 2 (3d part) (Briggs, Cochran, Gillet calculus early transcendentals 2ed).
Topics Include:
3.8 Implicit Differentiation
3.9 Derivatives ...
Excellent Detailed Exam Review of Chapter 2 (3d part) (Briggs, Cochran, Gillet calculus early transcendentals 2ed).
Topics Include:
3.8 Implicit Differentiation
3.9 Derivatives of Logarithmic and Exponential functions /Logarithmic Differentiation
3.10 Derivatives of Inverse Trigonometric Functions
3.11 Related Rates (in the end of the 3.10 section (separated by wavy line)
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Excellent Detailed Exam Review of Chapter 4 (part 1) (Briggs, Cochran, Gillet calculus early transcendentals 2ed).
Topics Include:
4.1 Maxima and Minima ...
Excellent Detailed Exam Review of Chapter 4 (part 1) (Briggs, Cochran, Gillet calculus early transcendentals 2ed).
Topics Include:
4.1 Maxima and Minima (Local vs Global (Absolute) Extrema
4.2 What Derivatives Tell Us (Derivative tests)
4.4 Optimization Problems
4.5 Differentials and Linear Approximations
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Excellent Detailed before Exam Review of Chapter 4 (2nd part) (Briggs, Cochran, Gillet calculus early transcendentals 2ed).
Topics Include:
4.5 Differentials
4.6 Mean ...
Excellent Detailed before Exam Review of Chapter 4 (2nd part) (Briggs, Cochran, Gillet calculus early transcendentals 2ed).
Topics Include:
4.5 Differentials
4.6 Mean Value Theorem
4.7 L'Hoptal Rule
4.9 Introduction to Antiderivatives
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Great Detailed before Exam Review of Parametric Equations and Polar Coordinates for 1st quarter Calculus (Briggs, Cochran, Gillet calculus early ...
Great Detailed before Exam Review of Parametric Equations and Polar Coordinates for 1st quarter Calculus (Briggs, Cochran, Gillet calculus early transcendentals 2ed).
Topics Include:
10.1 Parametric Equations (Slopes)
10.2/10.3 Polar Curves and Derivatives
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Uno schema riassuntivo molto semplice
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FSC Part one notes
for intermediate students
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Inter mediate naotes for students
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Mathematics notes upto 49 pages
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This includes a colour coded diagram of what they are and also a written description plus how to work them ...
This includes a colour coded diagram of what they are and also a written description plus how to work them out.
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Lecture (1-3 out of 8) notes from Imperial College London taught Physics module "Nuclear Physics", core module in 3rd year. ...
Lecture (1-3 out of 8) notes from Imperial College London taught Physics module "Nuclear Physics", core module in 3rd year. Includes hightligts to better understand the concepts.
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Light, physics notes for class 10, CBSE. Talks about reflection and refraction of light in mirrors and lenses respectively.
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Covers everything you need to know about Microscope Measurement and Calculations in the new AQA Biology A Level syllabus!
...
Covers everything you need to know about Microscope Measurement and Calculations in the new AQA Biology A Level syllabus!
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Explains how significant figures are supposed to be written
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Explains how significant figures must be treated in operations
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Linear inequations a topic of 11th standard in mathematics . I hope it will help you.
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Multiple choice Mathematics Question & Answers for Common Competition Exams!
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This will help you in pre-algebra and math in general. This PDF is aimed at people who want to learn ...
This will help you in pre-algebra and math in general. This PDF is aimed at people who want to learn or review pre-algebra/math.
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This PDF contain basic and important questions for all competetive exams like teaching exam.
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This PDF contain basic physics questions for students.
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Detailed examples of numbers, fractions, and percentages for algebra.
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Physics homework, first year physics, mechanics, oscillations
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Oscilations, physics homework, first year college physics
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Statical Physics (Statistical Mechanics), the partition function when we have 4 states
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College algebra 1 final exam notes
Paris Junior College - Professor Fornof
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The notes contain a brief overall of Exponential Functions. The source is a prep course for the SAT called PrepScholar. ...
The notes contain a brief overall of Exponential Functions. The source is a prep course for the SAT called PrepScholar.
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This is a power point presentation that i made to understand rational functions.It contents clear definitions with examples
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These notes cover
Algebraic Fractions
Functions
The exponential and log functions
Numerical Methods
Transforming graphs of functions
Trigonometry
Further trigonometric identities and their applications
Differentiation
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Contains a full set of notes on motion mechanics. Useful fundamentals for 1st year science/engineering students
covers Newton's Laws, vectors, momentum, ...
Contains a full set of notes on motion mechanics. Useful fundamentals for 1st year science/engineering students
covers Newton's Laws, vectors, momentum, friction, etc. with clear examples and diagrams.
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Contains a full set of notes on an introduction to the principles of arithmetic. Useful fundamentals for 1st year science/engineering ...
Contains a full set of notes on an introduction to the principles of arithmetic. Useful fundamentals for 1st year science/engineering students covers operations, order of operations, factors and multiples, scientific notation and using reciprocals, surds and indices.
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Any student if want any type of notes , u can find these. And if anyone want any type of ...
Any student if want any type of notes , u can find these. And if anyone want any type of science related notes inform here.
asengupta109@gmail.com
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I am a student in bca, any types of computer notes i can immediately provide. Without computer, science group for ...
I am a student in bca, any types of computer notes i can immediately provide. Without computer, science group for class 12 i can provide. I am providing about visual basic for makaut students. Computer notes, maths , digital note are available. Software project like waterfall model spiral model .... Also can get from me.
Email= sayatrib@gmail.com
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These notes consists of all computer network problem and security and about connections
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Notes explain collision between two objects
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Note explain theory of realitivity
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A trial will convince you, check it out.
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Contains a full set of notes on an introduction to the principles of algebra. Useful fundamentals for 1st year science/engineering ...
Contains a full set of notes on an introduction to the principles of algebra. Useful fundamentals for 1st year science/engineering students covers basics of algebra, forming linear equations, quadratic equations and simultaneous equations.
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A well probability and statistics notes for engineering students.
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notes on waves part 1
includes highlighted key terms and images
very clearly explained
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This is the basic notes of a vector,for advance level student.
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This notes about vector,for advance level studens.
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These notes are for grade 10 level. They have important formulas that you'll ever need to ace any math test. ...
These notes are for grade 10 level. They have important formulas that you'll ever need to ace any math test.
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The Table will be important in testing econometrics analysis (Data) very useful and helpful
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A test that the residuals from a linear regression or multiple
regression are independent.
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These notes contains all the formulas of triginometry .
These all formulas are used in 10-11-12 std.
refer these formulas ...
These notes contains all the formulas of triginometry .
These all formulas are used in 10-11-12 std.
refer these formulas it will be easy for u and u need not find formulas all around the book.
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this notes contains eauations of motion
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these notes contain eauations of motion
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it contain notes of Kelpers three laws
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a few notes i put together about enzymes :)
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These notes give example questions of 2x2 Matrices and Identity Matrix with detailed step by step solutions to help ...
These notes give example questions of 2x2 Matrices and Identity Matrix with detailed step by step solutions to help you tackle harder questions and to learn the fundamentals of the topic.
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Very detailed revision notes with detailed step by step solutions to questions. Covers a wide variety of topics typically seen ...
Very detailed revision notes with detailed step by step solutions to questions. Covers a wide variety of topics typically seen on a further additional maths course. Excellent for engineering, physics and maths students.
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How to shift functions on a graph
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Theses objective questions will be helped to check the basic concept the complex analysis.
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As there is no general method of solving PDE (Partial Differential Equations) and given the variety of phenomena modelled by ...
As there is no general method of solving PDE (Partial Differential Equations) and given the variety of phenomena modelled by such equations, research focus on particular PDE that are important for theory or applications. We consider Boundary Value problems that can be converted approximately into some general variational form using Galerkin approximation in an infinite dimensional Hilbert space. The Lax-Milgram theorem assures the well posedness of the latter form, the existence and the uniqueness of its solution and also assures the stability of the approximation. The computation of the solution involves a stiffness matrix and a load vector which are generally very difficult to generate. We propose the Finite element method to solve the stiffness matrix issue and the numerical quadrature method to easily compute the load vector on the other hand.
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We use optimal control theory as an extension of the calculus of variations for dynamic systems with one independent variable, ...
We use optimal control theory as an extension of the calculus of variations for dynamic systems with one independent variable, usually time, in which control (input) variables are determined to maximize (or minimize) some measures of the performance (output) of a system while satisfying specified constraints. We give an explicit mathematical statement of “the optimal control problem” and then we study one of the most interesting approaches of solving it: the Pontryagin Maximun Principle. Using optimal control theory, problems not amenable by classical methods such as problem of designing a spacecraft attitude control system that minimizes fuel expenditure, have been made feasible by the development of digital computers.
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Contains tutorials for sets and set operations
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Contains tutorials for functions, sequential and summations.
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f(x)=ab^x
Learn about how to solve Exponential Functions
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Exponential Growth occurs when a quantity increases by the same rate in each Unit of time. Best for beginners in ...
Exponential Growth occurs when a quantity increases by the same rate in each Unit of time. Best for beginners in Algebra 1
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Intermediate Algebra. Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value ...
Intermediate Algebra. Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; operations with functions; introduction to exponential and logarithmic functions; graphs of the basic functions and their translations.
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Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; ...
Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; operations with functions; introduction to exponential and logarithmic functions; graphs of the basic functions and their translations.
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Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; ...
Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; operations with functions; introduction to exponential and logarithmic functions; graphs of the basic functions and their translations.
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Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; ...
Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; operations with functions; introduction to exponential and logarithmic functions; graphs of the basic functions and their translations.
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Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; ...
Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; operations with functions; introduction to exponential and logarithmic functions; graphs of the basic functions and their translations.
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Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; ...
Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; operations with functions; introduction to exponential and logarithmic functions; graphs of the basic functions and their translations.
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Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; ...
Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; operations with functions; introduction to exponential and logarithmic functions; graphs of the basic functions and their translations.
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Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; ...
Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; operations with functions; introduction to exponential and logarithmic functions; graphs of the basic functions and their translations.
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Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; ...
Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; operations with functions; introduction to exponential and logarithmic functions; graphs of the basic functions and their translations.
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Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; ...
Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; operations with functions; introduction to exponential and logarithmic functions; graphs of the basic functions and their translations.
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Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; ...
Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; operations with functions; introduction to exponential and logarithmic functions; graphs of the basic functions and their translations.
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Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; ...
Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; operations with functions; introduction to exponential and logarithmic functions; graphs of the basic functions and their translations.
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Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; ...
Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; operations with functions; introduction to exponential and logarithmic functions; graphs of the basic functions and their translations.
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Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; ...
Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; operations with functions; introduction to exponential and logarithmic functions; graphs of the basic functions and their translations.
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Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; ...
Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; operations with functions; introduction to exponential and logarithmic functions; graphs of the basic functions and their translations.
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Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; ...
Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; operations with functions; introduction to exponential and logarithmic functions; graphs of the basic functions and their translations.
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Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; ...
Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; operations with functions; introduction to exponential and logarithmic functions; graphs of the basic functions and their translations.
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Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; ...
Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; operations with functions; introduction to exponential and logarithmic functions; graphs of the basic functions and their translations.
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Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; ...
Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; operations with functions; introduction to exponential and logarithmic functions; graphs of the basic functions and their translations.
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Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; ...
Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; operations with functions; introduction to exponential and logarithmic functions; graphs of the basic functions and their translations.
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Summary of decision theory and game theory concepts, from UoB Russell group university. Aimed at 2nd year Economics student. ...
Summary of decision theory and game theory concepts, from UoB Russell group university. Aimed at 2nd year Economics student.
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The question is based on basic concept of Fluid Mechanics
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Indefinite integration with practice examples
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Freshman level math
Math Models notes explaining the process of solving equations where a variable is present of both sides
Examples given ...
Freshman level math
Math Models notes explaining the process of solving equations where a variable is present of both sides
Examples given and worked through
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All theories and equations simplified and summarized.
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All theories and equations simplified and summarized.
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Those notes consist of formulas which are really helpful in university-level mathematics and for A and AS level Mathematics. They ...
Those notes consist of formulas which are really helpful in university-level mathematics and for A and AS level Mathematics. They are really helpful for me. Thanks to Ms. Nelly to my favorite teacher.
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This contains the process of getting the derivative and the concept of normal lines and tangent lines given a parabola ...
This contains the process of getting the derivative and the concept of normal lines and tangent lines given a parabola or a slight curve. This would also contain the formal definition of derivative
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Helo I available short tricks to solve profit and loss chapter easily in this note
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This PDF goes over a lesson covering all areas of Integer Exponents.
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These notes provide a full coverage of all types of Rational Exponents.
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These notes provide a full coverage of all types of Radicals.
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These notes provide a full coverage of all types of Polynomials.
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These notes provide a full coverage of all types of Factoring Polynomials.
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These notes provide a full coverage of all types of Rational Expressions.
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These notes provide a full coverage of all types of Complex Numbers.
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Examples of the limit definition of a derivative
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Includes overview of maximal and minima and concavity. For calculus I in college
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Notes for calculus I Optimization, some examples of optimization
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These notes are very useful for any maths student....you must do them
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Detailed explanation of Hardy-Weinberg equation designed for A Level Biology, especially Edexcel. Includes practice questions and using the Hardy-Weinberg equation ...
Detailed explanation of Hardy-Weinberg equation designed for A Level Biology, especially Edexcel. Includes practice questions and using the Hardy-Weinberg equation for codominance. Useful for inheritance, genetics, populations and evolution.
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A presentation that explains tangent angles.
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Il s'agit d'une résolution numérique d'équation différentielle à conditions initiales modélisant les attracteurs de Lorentz
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State and explain columb's law in electrostatic both in scalar and vector form. Also describe unit of charge and value ...
State and explain columb's law in electrostatic both in scalar and vector form. Also describe unit of charge and value of beta.
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Mechanics A-level 1 study guide.
Terms used in exam questions are well-defined and provides the student with the physics background concepts. ...
Mechanics A-level 1 study guide.
Terms used in exam questions are well-defined and provides the student with the physics background concepts. Examples of questions and methodology. Shows how to work through the questions.
Vectors, forces, connected particles, pulleys...
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This test includes parametric vector forms, geometric descriptions, linearly independence, linear transformations, and real world examples.
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The introduction to sequences and series
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shortcut formulas for plane and solid geometry
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This is as many common algebra facts, properties, formulas, and functions that I could think of. There is also a ...
This is as many common algebra facts, properties, formulas, and functions that I could think of. There is also a page of common algebra errors included. Currently the cheat sheet is four pages long.
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Here is a set of common trig facts, properties and formulas. A unit circle (completely filled out) is also included. ...
Here is a set of common trig facts, properties and formulas. A unit circle (completely filled out) is also included. Currently this cheat sheet is four pages long.
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Here is a set of common derivatives and integrals that are used somewhat regularly in a Calculus I or Calculus ...
Here is a set of common derivatives and integrals that are used somewhat regularly in a Calculus I or Calculus II class. Also included are reminders on several integration techniques. Currently this cheat sheet is four pages long.
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Here is a list of Laplace transforms for a differential equations class. This table gives many of the commonly used ...
Here is a list of Laplace transforms for a differential equations class. This table gives many of the commonly used Laplace transforms and formulas.
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1.1 Real Numbers and Algebraic Expressions
1.2 Exponents
1.3 Radicals and Rational Exponents
1.4 Polynomials
1.5 Factoring Polynomial
1.6 Rational Expressions
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2.1 Linear Equations
2.2 Quadratic Equations
2.3 Other Types of Equation
2.4 Linear Inequalities
2.5 Quadratic & Rational Inequalities
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This pdf contains handpicked important questions related to mathematics to increase aptitude and solving skills to do better in ...
This pdf contains handpicked important questions related to mathematics to increase aptitude and solving skills to do better in examiniations.
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This notes contain HOTS questions. really helpful for your examinations to have a quick revision for each and every topic ...
This notes contain HOTS questions. really helpful for your examinations to have a quick revision for each and every topic to cover with my first sections
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This is the first basic topic of physics at intermediate level.
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Here is a study about fundamental units, Si system etc....
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This is a good collection of mathematics questions from different subjects of mathematics such as Linear Algebra, Complex Analysis, Probability ...
This is a good collection of mathematics questions from different subjects of mathematics such as Linear Algebra, Complex Analysis, Probability distribution, Discrete Mathematics, Differential equation, Vector Algebra, etc. This is helpful for 11-12th standard students as well various mathematics competitive exams.
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This note is useful to check the knowledge of linear algebra concept.
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Easy way to understand the differentiation
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easy way to find out answers in aptitude
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This Mathematical Formaulae handbook has been prepared in response to a request from the Physics Consultative
Committee, with the hope that ...
This Mathematical Formaulae handbook has been prepared in response to a request from the Physics Consultative
Committee, with the hope that it will be useful to those studying physics. It is to some extent modelled on a similar
document issued by the Department of Engineering, but obviously reflects the particular interests of physicists.
There was discussion as to whether it should also include physical formulae such as Maxwell’s equations, etc., but
a decision was taken against this, partly on the grounds that the book would become unduly bulky, but mainly
because, in its present form, clean copies can be made available to candidates in exams
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Formula Sheet for CAS/SOA Probability Exam
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Less Important Formulas and Principles for Exam P CAS/SOA
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Ce rapport compte plus de 100h de travail.
Le Québec connaît plusieurs changements dans les années 2000 tels que les évolutions ...
Ce rapport compte plus de 100h de travail.
Le Québec connaît plusieurs changements dans les années 2000 tels que les évolutions technologiques et démographiques. Voici des données frappantes : le Conference Board of Canada rapporte que, d'ici 2025, le Québec pourrait vivre une situation de pénurie de main-d’oeuvre qui est évaluée à 292 000 postes non comblés et cela pourrait grimper à 363 000 d'ici 20301 et la Fédération canadienne de l’entreprise indépendante (FCEI) signale que 4,4% des postes sont restés non comblés pendant quatre mois ou plus en 20072.
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Contains formulas and identities of trigonometry. Must required to solve a trigonometroc equation.
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In this file you will Get notes of introduction To 3 Dimensional Geometry Of Mathematics
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These notes are aimed at intermediate or novice students, providing for a good basis of the information before someone enters ...
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How to determine increasing and decreasing function.
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Solve increasing and decreasing function by number line
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This is the past year question (test 1), year 2017 of calculus with answers. This document can act as note ...
This is the past year question (test 1), year 2017 of calculus with answers. This document can act as note for you to revise.
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I try to upload all the notes that you people need and try to upload neat and brief notes ...
I try to upload all the notes that you people need and try to upload neat and brief notes
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gives basic gists of what it is with examples.
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homogeneous linear differential equations with constant coefficients
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homogeneous linear differential equations with constant coefficients
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Limits
Derivatives
Squeeze Theorem
Unit Circle
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ALL OOP CONCEPTS FROM CBSE COMPUTER SCIENCE CLASS 12. THIS WILL HELP YOU TO ACE THROUGH ALL OBJECT ORIENTED CONCEPTS. ...
ALL OOP CONCEPTS FROM CBSE COMPUTER SCIENCE CLASS 12. THIS WILL HELP YOU TO ACE THROUGH ALL OBJECT ORIENTED CONCEPTS.
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The basic definitions, postulates, and ideas necessary to learn geometry. This is aimed for students at a high school level, ...
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These notes are for the Ist year B-tech students Mathematics for the chapter on Beta And Gamma. It has all ...
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This will teach you how to do absolute value of numbers, how to solve them, and how to solve and ...
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ABSOLUTELY EVERYTHING YOU NEED!!!!
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Cash management in business, the losses and how to cope up with these Losses. Also includes calculation of cash conversion ...
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IMAP Mail Configuration in Windows 10
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It consists of various planning model tools,uses of data science,life cycle of data science,which tool plays important role in data ...
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Optimal for last minute revision and for a quick overview of the main topics in the Core 3 Maths exam. ...
Optimal for last minute revision and for a quick overview of the main topics in the Core 3 Maths exam.
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GCSE Mathematics - Year 10 transformations;
Enlargements
- fractional and negative
Translations
- described as 2d vectors
Reflections and Rotations
Invariance
...
GCSE Mathematics - Year 10 transformations;
Enlargements
- fractional and negative
Translations
- described as 2d vectors
Reflections and Rotations
Invariance
- combinations of rotations, reflections, and translations
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computer science pre release material may june 2018 IGCSE/O Level Python COde
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The notes mainly focus on motion in one dimension for grade 10 students.
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The document displays properties of quadrilaterals which provides the basics and some activities to do,it is for high school students. ...
The document displays properties of quadrilaterals which provides the basics and some activities to do,it is for high school students.
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I'm studying Economics at the University of Warwick. Here are my notes before coming to university.
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it's about trigonometry, showing that,
i have done it,
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I have done it, trigonometry values between 0 and 360
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These notes brake down the complete concept of infinity and it will show you how you can count past infinity ...
These notes brake down the complete concept of infinity and it will show you how you can count past infinity
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For the new (9-1) GCSE
GCSE maths is tougher then ever....
And to do well you need practice
Embrace yourself with questions ...
For the new (9-1) GCSE
GCSE maths is tougher then ever....
And to do well you need practice
Embrace yourself with questions that will help you in your exams
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Methods that are explained in the notes are
- Newton's Method
- Secant's Method
- Modified Newton's Method
- Gauss Elimination
- LU Decomposition ...
Methods that are explained in the notes are
- Newton's Method
- Secant's Method
- Modified Newton's Method
- Gauss Elimination
- LU Decomposition Method
- Partial Pivoting
- Scaled Partial Pivoting
- Euclidean Norm
- Gauss Jacobi Method
- Gauss Seidel Method
- SOR Method
- Vector Norm
- Power Method
- Inverse Power Method
- Error Bound
- Lagrange's Interpolation Method
- Neville's Method
- Newton's Divided Difference Method
- Error from Lagrange
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Notes thst show what classes to use and some basic definitions.
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Reviewer for Math, Surveying and Transportation Engineering
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The pdf is a chapter from the subject probability and statistics .Many engineering colleges have this subject in ...
The pdf is a chapter from the subject probability and statistics .Many engineering colleges have this subject in their cirriculum.
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This file is a pdf for the topic "probability distributions" from the subject " probability and statistics"
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basic and discrete statistics and a few coding and insurance notes
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Calculus Number Systems Notes, Written in clear hand writing
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The trigonometric ratios are the ratios between the two sides of a right-angles triangle with respect to an angle and ...
The trigonometric ratios are the ratios between the two sides of a right-angles triangle with respect to an angle and hence they are real numbers.
The angle θ taken into consideration may be acute, obtuse or right angle.
Various trigonometry formulas related to the basic trigonometric ratios which must be remembered include:
1) sin2 θ + cos2 θ = 1
2) sec2 θ -tan2 θ = 1
3) cosec2 θ - cot2 θ = 1
4) sin θ cosec θ = tan θ cot θ = sec θ cos θ = 1
5) sin2 θ + cos2 θ = 1, so each of them is numerically less than 1.
6) |sin θ| ≤ 1 and |cos θ| ≤ 1
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This item contains 4 pages of basic definitions about probability and statistics (undergraduate level). It includes tens of formulas and ...
This item contains 4 pages of basic definitions about probability and statistics (undergraduate level). It includes tens of formulas and almost all Random Variable Models (discrete and continuous)
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Examples of Calculation of primitives
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A sheet that contains all primitives including (Leibniz Rule, Substitutions and Trigonometric Substitutions)
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The Infinite Sums sheet contains a shortened summary of the basics on infinite Sums including what nature determining criteria. It's ...
The Infinite Sums sheet contains a shortened summary of the basics on infinite Sums including what nature determining criteria. It's highly directed towards determining the nature of a series.
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A sheet containing all the rules for derivatives and primitives (including substitution and Leibniz rule) and 2 pages of examples. ...
A sheet containing all the rules for derivatives and primitives (including substitution and Leibniz rule) and 2 pages of examples.
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A complete derivative sheet which includes (Trigonometric and Inverse trigonometric functions))
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Trust the college learning notes to help you learn, prepare and practice for exams success.
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This Notes Provides You All Examples Which are Very Important In University Question Papers. This Notes Has Been Handwritten By ...
This Notes Provides You All Examples Which are Very Important In University Question Papers. This Notes Has Been Handwritten By Me and Verified By My Senior.
Sailent Features:
Very Easy To Understand
Ample Number Of Questions Solved
This Notes is Based For First Year Engineering Students
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In here one can find all the important formulas of Arithmetic and Geometric Progression (the general term, the sum of ...
In here one can find all the important formulas of Arithmetic and Geometric Progression (the general term, the sum of first n elements, the sum of an infinite sequence, etc), widely used in Mathematics and not only.
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here is some real exam question in GCSE about quadratics try it.
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This is a presentation with surds.
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This is week one of Surds this also contains practice questions.
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This is week one of Surds this also contains practice questions.
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A diagram simplifying the alpha and beta rules, making them easier to learn and remember.
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Differentiation-Rules
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Questions and Answers
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Management of cash which includes currencies, cheque, demands deposits, drafts as well as demand deposits. The notes includes the management ...
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Basics of integration and integration by substitution
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Notes for Topic 2 (Mechanics) of IB Physics.
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in this, u provide tricks of how to learn formulas and where and how to apply them,
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Want to succeed in your GCSE's? Well here are the best revison notes for GCSE's
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Struggling with sin or cosine graph? Well here is the best grade 9 revision guide to help you.
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Want to get a higher grade in your sats paper? Well here is the best exam practice just for you. ...
Want to get a higher grade in your sats paper? Well here is the best exam practice just for you.
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Here is some revision to help you on congruency. Use it if you want to succeed for this topic.
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Guide to sampling distributions in statistics including relevant formulae.
Includes Distribution of sample means, The Mean and Standard Deviation of ...
Guide to sampling distributions in statistics including relevant formulae.
Includes Distribution of sample means, The Mean and Standard Deviation of the Sampling Distribution of x̅, Central Limit Theorem, Correction factor and Distribution of the Sample Proportion.
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Estimating a Population Proportion, What’s the sample size needed for estimating the population proportion (p)?, Estimating a Population Mean: 𝜇, ...
Estimating a Population Proportion, What’s the sample size needed for estimating the population proportion (p)?, Estimating a Population Mean: 𝜇, confidence intervals, t-distribution. Includes relevant diagrams and formulae.
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Characteristics, Assumptions, Goodness of Fit Example, Right Tailed Test, TI-84 example, test for independence. Includes relevant formulae.
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In these notes one can find almost everything important about trigonometry: definitions and concepts, formulas and exercises; solved(to understand the ...
In these notes one can find almost everything important about trigonometry: definitions and concepts, formulas and exercises; solved(to understand the methodology) and unsolved (to practice by yourself).
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An introduction into differentiation, aimed at A level maths but also useful for 1st year science degrees. Contains questions ...
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Schaum's Calculus - Specifically targeted for High school Grads and Undergrads learning Calculus.
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The Newtonian mechanics describe from Newton's law(simple mechanics) to the application of these force in real life
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Veremos las siete operaciones algebraicas:
1. Suma o Adición
2. Resta o Sustracción
3. Multiplicación
4. División
5. Potenciación
6. Radicación
7. Logaritmación
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Working with forces and motions through calculation
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a well modified solved understanding examples of principle of mathematical induction(P.M.I)
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I'm a math major student and sharing my notes I got from my school. Hope you liked it! Thank you. ...
I'm a math major student and sharing my notes I got from my school. Hope you liked it! Thank you.
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Competitive Online Exam Preparations
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Color-coded concise revision notes for Number Theory. The notes include worked solutions to standard problems such as Chinese Remainder theorem ...
Color-coded concise revision notes for Number Theory. The notes include worked solutions to standard problems such as Chinese Remainder theorem application and Hensel’s lemma. The notes are ideal for pre-exam revision and when doing past papers.
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Explain the concept of differential equation, dependent and independent variable and Ordinary differential equation
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My notes explain how Electricity is generated in south Africa as well as the cost and how to calculate the ...
My notes explain how Electricity is generated in south Africa as well as the cost and how to calculate the cost of electricity we are using per unit.
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This paper provides 45 solved Multiple Choice Questions on Vector Spaces topic for purpose of preparation of exams and tests. ...
This paper provides 45 solved Multiple Choice Questions on Vector Spaces topic for purpose of preparation of exams and tests.
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Percentages, rules, and examples.
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Percentages, Rules, and Examples.
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Percentages Rules, Steps, and Examples.
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Introduction to probability.
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Aqui você verá:
*Juros compostos
*Taxas equivalentes
*Valor nominal e valor atual
*Rendas certas ou anuidades
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Aqui você verá: (Sistema brasileiro)
* Juros compostos
*Taxas equivalentes
*Valor nominal e valor atual
*Rendas certas ou anuidades
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Trying to sale a five rupee notes
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This is the solution of game theory graphical method
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Game theory Dominance method notes
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Financial Economics University Paper depicting evaluating the CAPM model as a the best method of appraisal
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This is the first chapter of A Level Mathematics, Consequence and Equivalence. Please feel free to reach me by email ...
This is the first chapter of A Level Mathematics, Consequence and Equivalence. Please feel free to reach me by email if you have any questions. The email ID is provided in the notes.
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In this notes , i can easily solved vectors problem .This notes is very comfortable and perfect for F.Sc students. ...
In this notes , i can easily solved vectors problem .This notes is very comfortable and perfect for F.Sc students.
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Detailed and step by step examples of exam questions regarding compound interest. Two effective methods are shown on how to ...
Detailed and step by step examples of exam questions regarding compound interest. Two effective methods are shown on how to tackle and grasp the concept of compound interest.
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This document gives a clear summary of the characteristics of living organisms which is the first topic of CIE biology ...
This document gives a clear summary of the characteristics of living organisms which is the first topic of CIE biology 0620 syllabus.
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Rewatched the complete lecture conducted within the Entropy module from a russell group university and every single detailed discussed is ...
Rewatched the complete lecture conducted within the Entropy module from a russell group university and every single detailed discussed is noted down on the document ensuring there is absolutely nothing that can come up that isn't on this document. These notes got me one of the highest grades in the class (90/100). Suitable for all undergraduate years.
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Annual Examination Papers for class X (CBSE)
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A list of tasks that if completed will help you get a heads up on achieving the top grades
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The first part of exercises with complete solutions of polynomials in Linear Algebra.
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These notes have been removed from Notesale. New users cannot find them or download them but we keep a record ...
These notes have been removed from Notesale. New users cannot find them or download them but we keep a record of them according to our terms and conditions.
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95%+ GUARANTEED. These are my answers to 11C and 11D of the Edexcel Pearson Stats and Mechanics textbook questions ...
95%+ GUARANTEED. These are my answers to 11C and 11D of the Edexcel Pearson Stats and Mechanics textbook questions for the first year.
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Here is maths Worksheet for class 1st students.
There are 2 pages in one worksheet.
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It has an indepth understanding of Binary treesfrom scratch in C programming.
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Fasteners are notes for mechanical Engineers, the notes contains a lot of explanations that will go a long way to ...
Fasteners are notes for mechanical Engineers, the notes contains a lot of explanations that will go a long way to aid Engineering students ,
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Fasteners are Engineering notes, the notes contain a lot of explanations that will go a long way to aid Engineering ...
Fasteners are Engineering notes, the notes contain a lot of explanations that will go a long way to aid Engineering students, so I urge Engineering students to go through the notes , thanks !!
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These notes are specially designed to cater the need of those students who want a thorough revision of GCSE Additional ...
These notes are specially designed to cater the need of those students who want a thorough revision of GCSE Additional Mathematics. These notes are also helpful for those students needing assistance for AS Mathematics.
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Learn about chi-square test and different worked examples
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Notes is for high school students an introduction to trig functions using SOHCAHTOA and explanation on reciprocal of trig functions ...
Notes is for high school students an introduction to trig functions using SOHCAHTOA and explanation on reciprocal of trig functions as well as trig inverse
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how to built a smoke detector by using mq2 sensor
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Easy way to learn Integration by parts and by magic substitution with proof and examples.
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Convergence divergence of series.
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Beginner's Guide to Systems of Equations, solving by substitution method, explanation step by step and exercises.
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Research Methods and Statistics revision notes for Year 1 Psychology students revising for Methods and Statistics exams. The notes cover ...
Research Methods and Statistics revision notes for Year 1 Psychology students revising for Methods and Statistics exams. The notes cover descriptive statistics, inferential statistics and statistical tests, e.g. t-tests, chi square, Mann-Whitney U, etc., qualitative data collection methods, ethics and several more lecture topics.
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This book contains series of solved questions in the field of calculus with all sections covered which includes differentiation, integration, ...
This book contains series of solved questions in the field of calculus with all sections covered which includes differentiation, integration, first principles, chain rule, product rule, trapezoidal rule and all other sections within calculus.
The solutions are explicit enough with the right spacing and attractive fonts needed to make study appealing.
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This book contains series of solved questions in the field of calculus with all sections covered which includes differentiation, integration, ...
This book contains series of solved questions in the field of calculus with all sections covered which includes differentiation, integration, first principles, chain rule, product rule, trapezoidal rule and all other sections within calculus.
The solutions are explicit enough with the right spacing and attractive fonts needed to make study appealing.
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All of my notes are structured in the exact same way as to maximize understanding. Each theme has 5 sections: ...
All of my notes are structured in the exact same way as to maximize understanding. Each theme has 5 sections: Overview, Glossary, Recap, Key Takeaways and Further knowledge.
The Overview helps students grasp what the theme is about without needing to read the whole recap.
The Glossary provides students with the new terms introduced in the theme and helps with better understanding the material.
The Recap sections consist of no more than 50 lines presenting the theme, some examples and extracting the essence from the textbook.
The Key takeaway section is there to help you revise for your exams and I have focused on the main points you need to remember from each theme.
The Further knowledge section is where you will find all the advanced formulas, theories and concepts. This section is for anyone who would like to build their knowledge on the topic further.
I used to make these notes after each lecture and at the end, they helped me and some of my friends get an A on our corporate finance exam.
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Meaning of health and diseases.
And some of the diseases and their symptoms, preventive measures and all.
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1st-year mathematics for physicists notes
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this permutation notes will be helpful for the student who have maths in their class 12
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these notes consist of the basic concept of electrostatic.
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it is well-written notes, it gives you solid concept of very basic concepts about maths
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Detailed notes on Moment of inertia, designed for A level physics, Eduqas board.
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course--computer networks
institution--school , highschool, college
computer networks is the biggest breakthrough occurring in technology, and hence to learn the whole process ...
course--computer networks
institution--school , highschool, college
computer networks is the biggest breakthrough occurring in technology, and hence to learn the whole process and journey from how it started to how it is now!!!
[ for all classes! ]
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Mathematics class 11th R.s Aggarwal solutions of chapter 14.
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THE CONCEPT OF PROBABILITY FROM ADVANCED MATHEMATICS BOOK
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This note shows step by step approach to the gradient of a scalar, divergent and curl. A basic foundation to ...
This note shows step by step approach to the gradient of a scalar, divergent and curl. A basic foundation to understanding the complex approach of the topic
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In this note the theories of probabilities are explained in details with examples.
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Types of numbers
Questions and answers
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Definition of Laplace Transform and Inverse Laplace Transform. Laplace transform of common functions. Laplace transform properties/identities.
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here's the GED math lesson 1 from the kaplan book (which guarantees passing score). you can take these notes if ...
here's the GED math lesson 1 from the kaplan book (which guarantees passing score). you can take these notes if you're taking GED or not.
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In these notes, I have covered some maximum topics related to microeconomics. I have used a very simple English language ...
In these notes, I have covered some maximum topics related to microeconomics. I have used a very simple English language while writing these notes that can be very useful for anyone. After every topic I have also attached a graph below it, so that students can able to understand in-depth knowledge of a topic. I hope they can be very helpful for anyone who are looking for some easy notes to understand Microeconomics. If you want some extra topics like Engle Curve, Types of elasticities etc, feel free to contact me, I'll try to help you as soon as I can. Happy learning! Thank you.
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A document which summarises definitions of the vector calculus part of Engineering Mathematics 2 - taught at Bristol University for ...
A document which summarises definitions of the vector calculus part of Engineering Mathematics 2 - taught at Bristol University for 2nd year engineers.
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Set of problems on how to find the equation of integrating factors by inspection
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1st year undergraduate psychology lecture notes. Includes levels of measurements with examples (nominal, ordinal, interval, ratio data). Split into 3 ...
1st year undergraduate psychology lecture notes. Includes levels of measurements with examples (nominal, ordinal, interval, ratio data). Split into 3 sections: levels of measurement, summarizing data-central tendency, and confidence intervals. Average of 1 page per section.
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This document comprises of the notes based on quality management. There are many documents among which this is the initial ...
This document comprises of the notes based on quality management. There are many documents among which this is the initial one covering basic topics and few case related questions for better understanding.
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This document outlines the main terms used in Business calculations and progresses onto explaining how compound interest is used and ...
This document outlines the main terms used in Business calculations and progresses onto explaining how compound interest is used and calculated with examples.
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These notes comprise of flash cards,mind-maps,flow charts and diagrams to help students understand theories in a more fun and simplified ...
These notes comprise of flash cards,mind-maps,flow charts and diagrams to help students understand theories in a more fun and simplified manner. The aim is to highlight the main points as per content.
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THIS IS NCERT TEXTBOOK EXERCISE SOLUTION OF EXERCISE 9.1 |NCERT|CBSE INDIAN SYLLABUS
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THIS IS EXERCISE 9.2 BOOK SOLUTION | NCERT | CBSE INDIAN SYLLABUS
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THIS IS EXERCISE 9.3 CHAPTER 9 AREA OF PARALLELOGRAM AND TRIANGLES|NCERT| CBSE INDIAN SYLLABUS|
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Writing Quadratic Equations in one variable
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A review of integration/anti-differentiation basics, the four important rules and examples. These notes will help you understand and master any ...
A review of integration/anti-differentiation basics, the four important rules and examples. These notes will help you understand and master any integration problem.
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Applicable for A-level school students & first year engineering/maths students; these notes will assist you with tackling all types of ...
Applicable for A-level school students & first year engineering/maths students; these notes will assist you with tackling all types of integration problems. The Four Laws of Integration are highlighted, and mastering each of them will make integration problem solving more enjoyable.
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includes notes questions and answers
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includes notes questions and answers
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includes notes questions and answers
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Notes for OCR MEI B Single Maths mechanics
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OCR MEI B Mathematics Statistics
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OCR MEI B Mathematics Statistics
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Specific notes on random and non-random sampling
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Notes for teaching you about quadratic equation and factorisation
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Words opposite in English with meaning and well explained one can quickly
understand and gaining knowledge in daily life and ...
Words opposite in English with meaning and well explained one can quickly
understand and gaining knowledge in daily life and you can use such great
vocabularies while speaking with someone
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Words opposite in English with meaning and well explained one can quickly
understand and gaining knowledge in daily life and ...
Words opposite in English with meaning and well explained one can quickly
understand and gaining knowledge in daily life and you can use such great
vocabularies while speaking with someone
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To help you cover different types of energies in brief and help you get the topic related energy ...
To help you cover different types of energies in brief and help you get the topic related energy
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These notes will be covering the subject in a brief and easier way and make it easier for students to ...
These notes will be covering the subject in a brief and easier way and make it easier for students to get the topic
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The notes are visually clear, concise ,organized and structured so that they are easily read and make sense to you ...
The notes are visually clear, concise ,organized and structured so that they are easily read and make sense to you later.
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In-depth analysis of all important topics in Discrete Mathematics. Must have for all
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There was a mistake in the previous price.This is for everyone who needs detailed notes in Calculus 2. This is ...
There was a mistake in the previous price.This is for everyone who needs detailed notes in Calculus 2. This is the first chapter called Antiderivative. My notes are cleared, in color, and detailed
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This is for everyone who needs detailed notes in Calculus 2. This is the first chapter called Antiderivative. My notes ...
This is for everyone who needs detailed notes in Calculus 2. This is the first chapter called Antiderivative. My notes are cleared, in color, and detailed
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This is a truth table proof of one of the basic real analysis topic "irrationality of root two"
Here I have ...
This is a truth table proof of one of the basic real analysis topic "irrationality of root two"
Here I have provided a truth table chart showing that square root of two is irrational. The usual approach is by the proof by contradiction method. Here we analyse differently with a truth table chart and finally show that the statement "square root of two is irrational" is indeed true.
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This is a truth table proof of one of the first calculus (real analysis) topics "irrationality of root two". Here ...
This is a truth table proof of one of the first calculus (real analysis) topics "irrationality of root two". Here I have provided a truth table chart showing that square root of two is irrational (cannot be expressed in p/q form). The usual approach is by the proof by contradiction method. Here we analyze differently with a truth table chart and finally show, even to skeptics who do not believe quickly, that the statement "square root of two is irrational" is indeed true.
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Explanation of subtopics within probability at a grade 11 and 12 level.
The notes are derived from an IEB syllabus, but ...
Explanation of subtopics within probability at a grade 11 and 12 level.
The notes are derived from an IEB syllabus, but can be used by any student on any curriculum.
A few examples with explanations discussing how answers were obtained using the correct formula are provided within these notes.
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Mathematics fraction notes for grades 6-8 (Part 1)
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Extreme function full notes pdf
Absolute maximum
Absolute minimum
Local maximum
Local minimum
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Extreme function
Absolute maximum
Absolute minimum
Local maximum
Local minimum
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You will get formulas for trip and many sums(solved) in it...
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Summary of the topic nucleic acid and it consists of all the sub-topics.
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Trigonometry formulas with graphs, basic knowledge about quadrant
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Introduction to vector algebra including basic definition,vector operations, triangle law of vector addition, parallogram law of vectros and properties of ...
Introduction to vector algebra including basic definition,vector operations, triangle law of vector addition, parallogram law of vectros and properties of vector addition
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for ibps bsank exam there is the weekly liner which will enable you to get best score in bank exam ...
for ibps bsank exam there is the weekly liner which will enable you to get best score in bank exam and building your career
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This is only a test for module Corporate taxation
I have many notes for many subject:
Financial mathematics
Business finance
Computer science
Food science
Accounting
Email ...
This is only a test for module Corporate taxation
I have many notes for many subject:
Financial mathematics
Business finance
Computer science
Food science
Accounting
Email me: agatheambretta19@gmail.com
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introduction to functions for first year students studying economics or mathematics
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This book helps students to master the material of a standard US undergraduate
first course in Linear Algebra.
The material is standard ...
This book helps students to master the material of a standard US undergraduate
first course in Linear Algebra.
The material is standard in that the subjects covered are Gaussian reduction,
vector spaces, linear maps, determinants, and eigenvalues and eigenvectors.
Another standard is book’s audience: sophomores or juniors, usually with
a background of at least one semester of calculus. The help that it gives to
students comes from taking a developmental approach — this book’s presentation
emphasizes motivation and naturalness, using many examples as well as extensive
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This note includes Introduction to Accounting, Accounting Process, Understanding Financial Statement of Hospitality & Tourism business, Analysis & Interpretation of ...
This note includes Introduction to Accounting, Accounting Process, Understanding Financial Statement of Hospitality & Tourism business, Analysis & Interpretation of Financial Statements, Ratio Analysis, Internal Control, Costs, Pricing, Profit, Budget, and Feasibility Study.
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Help in understanging the facts & theme of the topic.
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This is a PDF of integral calculus (Calculus 2) done in the 2/3rd year of ones campus studies(Engineering, Mathematics and ...
This is a PDF of integral calculus (Calculus 2) done in the 2/3rd year of ones campus studies(Engineering, Mathematics and Physics related courses.)
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This is a simplified version of linear algebra. It's concise and self-explanatory and can used to get in-depth understanding without ...
This is a simplified version of linear algebra. It's concise and self-explanatory and can used to get in-depth understanding without the need of further assistance. The lecture was delivered by S. J Wadsley in 2015 in Cambridge University.
It is organized such that all sub-topics are tabulated on a table of contents for easy navigation.
It is expected that students who use this notes must not have problems with linear algebra going forward.
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This is a 91-page simplified version of algebraic topology. It's concise and self-explanatory and can used to get in-depth understanding ...
This is a 91-page simplified version of algebraic topology. It's concise and self-explanatory and can used to get in-depth understanding without the need of further assistance. The lecture was delivered by H. Wilton in 2015 at Cambridge University.
It is organized such that all sub-topics are tabulated on a table of contents for easy navigation.
It is expected that students who use this notes must not have problems with algebraic topology going forward.
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This is a simplified version of linear algebra. It's concise and self-explanatory and can used to get in-depth understanding without ...
This is a simplified version of linear algebra. It's concise and self-explanatory and can used to get in-depth understanding without the need of further assistance. The lecture was delivered by S. J Wadsley in 2015 in Cambridge University.
It is organized such that all sub-topics are tabulated on a table of contents for easy navigation.
It is expected that students who use this notes must not have problems with linear algebra going forward.
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This comprises Classical probability, Axioms of probability, discrete random variables, interesting problems and many more. Probability has been explained in ...
This comprises Classical probability, Axioms of probability, discrete random variables, interesting problems and many more. Probability has been explained in simple straight forward answers. Determining probability mathematically has never been this simpler when you read this note
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This note is an explicit compilation on Derivatives & coordinates, Curves & lines, Integration in R^2 and R^3, Surfaces & ...
This note is an explicit compilation on Derivatives & coordinates, Curves & lines, Integration in R^2 and R^3, Surfaces & Surface integration, Geometric of curves and surfaces, integral theorems and then application of the integral theorems. The lecture was delivered by B. Allanach at Cambridge University in 2015. It is a great academic resources for all students who want to understand calculus.
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Find the following:
a) Arithmetic mean
b) Geometric mean
c) Harmonic mean
d) Median
e) Mode
f) Range
g) Mean deviation
h) Variance
i) Standard Deviation
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Make frequency distribution using 5 classes and find the following:
a) Arithmetic Mean: 25.5
b) Median: 28.5
c) Mode: 35.8333
d) All quartiles: Q1: ...
Make frequency distribution using 5 classes and find the following:
a) Arithmetic Mean: 25.5
b) Median: 28.5
c) Mode: 35.8333
d) All quartiles: Q1: 11.9286, Q2: 28.5, Q3: 37.4231
e) 3
rd Deciles: 14.7857
f) 46th Percentile: 25.3
g) Coefficient of Skewness: 0.6283906914
h) Semi Inter Quartile Range (SIQR): 12.74725
i) Standard Deviation: 14.3223
j) Mean Deviation: 12.5
k) Variance: 205.1282
l) Sketch Histogram
m) Sketch OGIVE
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Find the following:
a) Arithmetic mean
b) Geometric mean
c) Harmonic mean
d) Median
e) Mode
f) Range
g) Mean deviation
h) Variance
i) Standard Deviation
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Find the following:
a) Arithmetic mean
b) Geometric mean
c) Harmonic mean
d) Median
e) Mode
f) Range
g) Mean deviation
h) Variance
i) Standard Deviation
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Measures of variation. In statistics, to describe the data set accurately, statisticians must know more than the measures of central ...
Measures of variation. In statistics, to describe the data set accurately, statisticians must know more than the measures of central tendency.
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Explain the difference between measures of dispersion and measures of central tendency.
Explain why measures of dispersion must be reported in ...
Explain the difference between measures of dispersion and measures of central tendency.
Explain why measures of dispersion must be reported in addition to measures of central tendency.
Explains and evaluates various measures of central tendency.
Evaluates and interprets partition values – Quartiles, Deciles and Percentiles.
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This note contains the basic axioms and the properties of Real Number System, namely the field properties, ordering properties, Completeness ...
This note contains the basic axioms and the properties of Real Number System, namely the field properties, ordering properties, Completeness property (distinctive property) density and Continuum property.
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Definition of Permutations as bijective mapping, notations, Permutations multiplication as composition of bijective mapping. Theorems on Permutations of sets.
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Definition and theorems of Cosets. Lagrange's theorem.
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Cardiff University First Year Mathematics I & II module notes
Includes diagrams, worked examples and derivations
Topics include:
- vectors;
- matrices;
- integration;
- functions;
- ...
Cardiff University First Year Mathematics I & II module notes
Includes diagrams, worked examples and derivations
Topics include:
- vectors;
- matrices;
- integration;
- functions;
- differential equations;
- probability;
- complex numbers;
- advanced calculus;
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Mandatory Assignment of Macroeconomics and Finance
Academic Year: 2020-2021
Major: Business Administration
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Some problems for adding and subtracting rational expressions are listed in the pdf above. Enjoy!
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In mathematics, an ordinary differential equation (ODE) is a differential equation containing one or more functions of one independent variable ...
In mathematics, an ordinary differential equation (ODE) is a differential equation containing one or more functions of one independent variable and the derivatives of those functions. The term ordinary is used in contrast with the term partial differential equation which may be with respect to more than one independent variable.
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This is a set of questions that help you test your ability to solve math problems, consolidate your knowledge and ...
This is a set of questions that help you test your ability to solve math problems, consolidate your knowledge and practice necessary skills. After the question section are the answers so you can compare your results. Don't hesitate to order this useful document! Have a good day!
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This is a set of questions that help you test your ability to solve math problems, consolidate your knowledge and ...
This is a set of questions that help you test your ability to solve math problems, consolidate your knowledge and practice necessary skills. After the question section are the answers so you can compare your results. Don't hesitate to order this useful document! Have a good day!
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This is a set of questions that help you test your ability to solve math problems, consolidate your knowledge and ...
This is a set of questions that help you test your ability to solve math problems, consolidate your knowledge and practice necessary skills. After the question section are the answers so you can compare your results. Don't hesitate to order this useful document! Have a good day!
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This is a set of questions that help you test your ability to solve math problems, consolidate your knowledge and ...
This is a set of questions that help you test your ability to solve math problems, consolidate your knowledge and practice necessary skills. After the question section are the answers so you can compare your results. Don't hesitate to order this useful document! Have a good day!
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This is a set of questions that help you test your ability to solve math problems, consolidate your knowledge and ...
This is a set of questions that help you test your ability to solve math problems, consolidate your knowledge and practice necessary skills. After the question section are the answers so you can compare your results. Don't hesitate to order this useful document! Have a good day!
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Management of Zoo using C++ in OOPs, classes, functions, inheritance, aggregation, composition,associations, objects, use of do while
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This PDF includes the solution of every question related to quadratic equation of class 10th
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Notes extracted from Pearson IIT Foundation Mathematics Class 7 chapter Indices basics covered with formulas(Highlighted and Color Coded).
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Topic is the matrix. This is the task only
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It is some Probability tasks with step by step solutions
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Hard practice tasks for Geometry with step by step solutions.
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Hard practice tasks for Geometry with step by step solutions.
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All Convergence tests in one file
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This notes consists of algebra expression. In this lesson you will learn expanding brackets, use four maths operations, polynomials and ...
This notes consists of algebra expression. In this lesson you will learn expanding brackets, use four maths operations, polynomials and factorisation. It is good for grade 11&12 learners and students doing mathematics and science related courses. It was written in University of NamibiA.
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Well comprehensive notes on Exact Equation (First Order)-(ODE)
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Well comprehensive notes on Formation of Ordinary Differential Equation (ODE)
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Well comprehensive notes on Ordinary Differential Equations (ODE)
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Well comprehensive notes on Probability and Statistics II tutorial
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These notes will help students understand the language of statistics
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THIS IS A PDF FILE THAT HAS SOME SHORT NOTES AND EXPLANATIONS ON SETS FOR FORM 1 STUDENTS .
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Complex roots of Differential equation
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Complex Roots for Differential Equations
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These are solutions for trigonometry quizzes. These can help you to solve trigonometry questions instantly
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Hi! This is one of the topics before the actual Calculus lectures. This is part of the Pre-Calculus discussion about ...
Hi! This is one of the topics before the actual Calculus lectures. This is part of the Pre-Calculus discussion about the Linear Coordinate System.
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Hi! This is one of the topics before the actual Calculus lectures. This is part of the Pre-Calculus discussion about ...
Hi! This is one of the topics before the actual Calculus lectures. This is part of the Pre-Calculus discussion about the Rectangular Coordinate System.
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Hi! This is one of the topics before the actual Calculus lectures. This is part of the Pre-Calculus discussion about ...
Hi! This is one of the topics before the actual Calculus lectures. This is part of the Pre-Calculus discussion about Lines.
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Hi! This is one of the topics before the actual Calculus lectures. This is part of the Pre-Calculus discussion about ...
Hi! This is one of the topics before the actual Calculus lectures. This is part of the Pre-Calculus discussion about Circles.
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Hi! This is one of the topics before the actual Calculus lectures. This is part of the Pre-Calculus discussion about ...
Hi! This is one of the topics before the actual Calculus lectures. This is part of the Pre-Calculus discussion about the Linear Coordinate System.
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Hi! This is one of the topics before the actual Calculus lectures. This is part of the Pre-Calculus discussion about ...
Hi! This is one of the topics before the actual Calculus lectures. This is part of the Pre-Calculus discussion about the Rectangular Coordinate System.
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Hi! This is one of the topics before the actual Calculus lectures. This is part of the Pre-Calculus discussion about ...
Hi! This is one of the topics before the actual Calculus lectures. This is part of the Pre-Calculus discussion about Lines.
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Hi! This is one of the topics before the actual Calculus lectures. This is part of the Pre-Calculus discussion about ...
Hi! This is one of the topics before the actual Calculus lectures. This is part of the Pre-Calculus discussion about Circles.
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In this study note about the equations and graphs, you will learn the parts of the conic sections such as ...
In this study note about the equations and graphs, you will learn the parts of the conic sections such as parabolas, ellipses, and hyperbolas. Given this sections, you will also learn their own equations (standard and general) given such properties and variables. You will also learn on how to identify their graph on the rectangular coordinate system. In addition, you will improve your learnings because there have example problems in this study note and there is also a practice test on the last part so that you'll try to challenge your knowledge and increase your learning! Happy studying!
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In this StudyNote 6, we will generalize our understanding to the functions that
are common in every topic of Calculus. ...
In this StudyNote 6, we will generalize our understanding to the functions that
are common in every topic of Calculus. This basic concept of functions helps us
further develop of critical and analytical skills in solving advanced math
problems in the future topics. The most interesting thing is there are example problems in this note that will help you understand how to solve functions. And also, there is a practice test (with solution also) to challenge your understanding to this particular topic.
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Here are my notes in factoring in Math when I was in 10th grade. Factor, in mathematics, a number ...
Here are my notes in factoring in Math when I was in 10th grade. Factor, in mathematics, a number or algebraic expression that divides another number or expression evenly
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This document provides a summary of Algebra formulas that are useful for Engineering Board Exams.
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This document provides summary of Advanced Engineering Math formulas that is useful for Engineering Board Exams.
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Compilation of A-level notes on algebraic fractions, neatly arranged and easy to read. explained in concise but clear terminology.
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Compilation of binomial expansion notes. Easy to read and explained in clear and concise detail. A-level year 1&2 as ...
Compilation of binomial expansion notes. Easy to read and explained in clear and concise detail. A-level year 1&2 as well as university year one preparation material.
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Compilation of circle theory notes. Easy to read and explained in clear and concise detail. A-level year 1&2 as ...
Compilation of circle theory notes. Easy to read and explained in clear and concise detail. A-level year 1&2 as well as university year one preparation material.
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Compilation of co-ordinate geometry notes. Easy to read and explained in clear and concise detail. A-level year 1&2 as ...
Compilation of co-ordinate geometry notes. Easy to read and explained in clear and concise detail. A-level year 1&2 as well as university year one preparation material.
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Compilation of exponentials and logs notes. Easy to read and explained in clear and concise detail. A-level year 1&2 ...
Compilation of exponentials and logs notes. Easy to read and explained in clear and concise detail. A-level year 1&2 as well as university year one preparation material.
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The following notes is pertaining to the topic of Linear System of Equations, which constitutes the fundamentals of Linear Algebra, ...
The following notes is pertaining to the topic of Linear System of Equations, which constitutes the fundamentals of Linear Algebra, it its important for st udents to get a good grasp about the concepts of Linear Equations, Systems of Linear Equation, solutions to a system of Linear Equations before progressing on to deeper topics pertaining Linear Algebra. These notes are handwritten by me as I try to make it as simple as possible for others to understand the fundamental concepts of Linear Algebra. It is a fun subject of study and I believe that once you understand the necessary fundamental concepts, you will be finding yourself being immersed in the subject.:) More content pertaining to Linear Algebra will be uploaded in the near future. This includes but not limited to: - Expressing Systems of Linear Equations in an Augmented Matrix - Gaussan Elimination, Gauss Jordan Elimination, the difference between the two - Linear Dependence and Independence - Linear Transformation - Matrix Algebra - Determinants - Vector Spaces And much more. As this is my first time selling such notes, I will be seller at a lower price and I hope to get some support from everyone out of this. 🤗 BUNDLES COMING IN THE FUTURE SO STAY TUNED FOR GOOD DEALS😁 Thanks everyone!🤗
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This Practice exam is good for reviewing Algebra Topic. It is Multiple Choices so you can choose the best answer. ...
This Practice exam is good for reviewing Algebra Topic. It is Multiple Choices so you can choose the best answer.
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This lecture is the Chapter 1 for the Engineering Economy. I have some problems with answer here. it will help ...
This lecture is the Chapter 1 for the Engineering Economy. I have some problems with answer here. it will help you a lot.
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College algebra written assignment unit 7 official solution
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Discussion assignment Math 1201 college algebra Unit 7
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This notes contains all formula and tricks of integration which will surely help any twelfth grade student and make calculus ...
This notes contains all formula and tricks of integration which will surely help any twelfth grade student and make calculus really fun.
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Computer types of Network
LAN
MAN
WAN
PAN
Advantages Disadvantages
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hello
my name is Fareeha.In this lecture you can easily study about terrestrial environment like composition of earth,role of water in ...
hello
my name is Fareeha.In this lecture you can easily study about terrestrial environment like composition of earth,role of water in Bioshpere,Role of sun for the biosphere
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Hello
my name is Fareeha.In this note you can easily study about terrestrial Environment like forest ecosystem,different types of forest,uses of ...
Hello
my name is Fareeha.In this note you can easily study about terrestrial Environment like forest ecosystem,different types of forest,uses of forest ecosystem and many more.
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quadratic functions all structure
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This is intermediate level formulas which can help you alot while solving 'Mathematics' problems and Questions like Calculus and Analytical ...
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If you are looking for a diversity of fields at the same topic, very thoughtful, if people use that theory, ...
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This provides descriptions and examples regarding topics in statistics. From simple topics such as measures of central to tendency to ...
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These notes include needed formulas in solving Quadratic Equations and Functions. Presenting Brief notes for easy memorization and easy to ...
These notes include needed formulas in solving Quadratic Equations and Functions. Presenting Brief notes for easy memorization and easy to understand.
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This material is a brief content including important formulas and information in a short set such that you can get ...
This material is a brief content including important formulas and information in a short set such that you can get the portions complete as soon as possible with maximum quality. Content in this notes may not give the whole information of the topic, but has a short summary of the lesson.
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This material is a brief content including important formulas and information in a short set such that you can get ...
This material is a brief content including important formulas and information in a short set such that you can get the portions complete as soon as possible with maximum quality. Content in this notes may not give the whole information of the topic, but has a short summary of the lesson.
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This material is a brief content including important formulas and information in a short set such that you can get ...
This material is a brief content including important formulas and information in a short set such that you can get the portions complete as soon as possible with maximum quality. Content in this notes may not give the whole information of the topic, but has a short summary of the lesson.
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This material is a brief content including important formulas and information in a short set such that you can get ...
This material is a brief content including important formulas and information in a short set such that you can get the portions complete as soon as possible with maximum quality. Content in this notes may not give the whole information of the topic, but has a short summary of the lesson.
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This material is a brief content including important formulas and information in a short set such that you can get ...
This material is a brief content including important formulas and information in a short set such that you can get the portions complete as soon as possible with maximum quality. Content in this notes may not give the whole information of the topic, but has a short summary of the lesson.
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This material is a brief content including important formulas and information in a short set such that you can get ...
This material is a brief content including important formulas and information in a short set such that you can get the portions complete as soon as possible with maximum quality. Content in this notes may not give the whole information of the topic, but has a short summary of the lesson.
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This is a class lecture about Introduction to Statistics. You can learn about the following:
• Data and Statistics
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This is a class lecture about Introduction to Statistics. You can learn about the following:
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This is a class lecture about Sampling Distribution of Means. You can learn about the following:
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This is a class lecture about Sampling Distribution of Means. You can learn about the following:
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This is a class lecture about Measures of Center. This lecture includes samples. You can learn about the following:
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This is a class lecture about Measures of Center. This lecture includes samples. You can learn about the following:
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This is a class lecture about Beyond the Basics of Measures of Center. You can learn about the following:
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This is a class lecture about Beyond the Basics of Measures of Center. You can learn about the following:
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This is a class lecture about Measures of Variation. You can learn about the following:
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This is a class lecture about Measures of Variation. You can learn about the following:
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• Standard Deviation in Calculator
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• Variance
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This is a class lecture about Beyond the Basics of Measures of Variation. You can learn about the following:
• Range Rule ...
This is a class lecture about Beyond the Basics of Measures of Variation. You can learn about the following:
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• Properties of the Standard Deviation
• The Empirical Rule
• Chebyshev’s Theorem
• Comparing Variation in Different Samples
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This is a class lecture about Measure of Relative Standing and Boxplots. You can learn about the following:
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This is a class lecture about Measure of Relative Standing and Boxplots. You can learn about the following:
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Course-Mathematics, Institution: University of Calcutta, INDIA
The notes contain a brief explanation of vector algebra. It contains various properties and formulas ...
Course-Mathematics, Institution: University of Calcutta, INDIA
The notes contain a brief explanation of vector algebra. It contains various properties and formulas related to the topic. The level of the note is for the beginner (e.g. 1st year). It will help you to understand the concept at an advanced level.
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This file contains a summary and easy-to-understand concepts and formulas for common worded algebra problems.
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Integral calculus practice problem with a solution.
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Algebra Question From Learning Express Newyork.
The Learning Express Skill Builder in Focus Writing Team is
comprised of experts in test ...
Algebra Question From Learning Express Newyork.
The Learning Express Skill Builder in Focus Writing Team is
comprised of experts in test preparation, as well as educators and
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Test takers should be familiar with the following concepts. For specific practice exercises using
these concepts, please utilize the resources ...
Test takers should be familiar with the following concepts. For specific practice exercises using
these concepts, please utilize the resources listed at the end of this guide.
Understanding a number line
Adding and subtracting negative numbers
Using exponents
Finding a square root
Writing algebraic expressions
Using parentheses in algebraic expressions
Evaluating formulas
Multiplying two binomials
Using proportions to solve problems
Combining like terms
Evaluating expressions
Solving linear equations
Solving systems of equations
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Here you can find the full python course and there is also exercises, examples that make your study more easier ...
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Identify devices that can be used to determine discharges in closed conduits.
b. Determine discharge in closed conduits using Venturi meter ...
Identify devices that can be used to determine discharges in closed conduits.
b. Determine discharge in closed conduits using Venturi meter and nozzle.
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These notes cover the entire chapter of Kinematics to help you score an A.
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Very detailed notes of this topic. Done in an A4 size sheet which looks very aesthetic. I used 3 color ...
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This note consists of basics of Abstract Algebra that is Binary Operation, it's properties and theorems related to it. It ...
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This note consists of Abstract Algebra's Group part, which contains definitions, properties, theorems and some examples related to group, abelian ...
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This note contain some basic formula and some important sums that always ask in your exam.
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In mathematics, an integral assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that ...
In mathematics, an integral assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinitesimal data. The process of finding integrals is called integration. Along with differentiation, integration is a fundamental, essential operation of calculus, and serves as a tool to solve problems in mathematics and physics involving the area of an arbitrary shape, the length of a curve, and the volume of a solid, among others.
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These notes consists of the basic foundation of calculus topic
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This document provide useful information about TOP 10 YOUTUBE CHANNEL FOR MATHS STUDENTS.
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In many competitive examinations we face MCQ type of questions in Calculus. I believe that in order to answer those ...
In many competitive examinations we face MCQ type of questions in Calculus. I believe that in order to answer those question correctly and quickly, student must develop a problem solving approach in Calculus. In this note I have given a sample of 10 question and answers in Calculus along with detail approach of attacking the problem for its correct solution. Thank you.
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In many competitive examinations we face MCQ type of questions in Calculus. I believe that in order to answer those ...
In many competitive examinations we face MCQ type of questions in Calculus. I believe that in order to answer those question correctly and quickly, student must develop a problem solving approach in Calculus. In this note I have given a sample of 9 question and answers in Calculus along with detail approach of attacking the problem for its correct solution. Thank you.
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Are you a student of Mathematics?
Here is a mathematics quiz for you that will make you able to check ...
Are you a student of Mathematics?
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The discussion was related to triangles and their properties. Relationship of each side with proof on how they are related. ...
The discussion was related to triangles and their properties. Relationship of each side with proof on how they are related. The area calculation formula for triangles with proof of derivation.
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Pythagorean Theorem, Quadrants and Coordinate System
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Algebra Polynomials Special Products. Special products like the product of sum and difference of binomial, square of binomial, and others ...
Algebra Polynomials Special Products. Special products like the product of sum and difference of binomial, square of binomial, and others are discussed in this note. Example for better understanding are added.
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This study study guide will help you to memorize the different ways on how to differentiate and integrate. It also ...
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The ultimate introduction to Python programming. Over 12 hours of content, including diagrams, exercises and project walkthroughs! Suitable for all ...
The ultimate introduction to Python programming. Over 12 hours of content, including diagrams, exercises and project walkthroughs! Suitable for all levels of ability, even if you have never coded before! This PDF includes a link to the interactive Notion-based version of the course.
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This reviewer is for Engineering Students but if you have the same course it also a big help to you. ...
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I will share to you my perfect score of this Math Quizz,I hope this will be good for your assignment,quiz ...
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I will share to you my perfect score of this Math Quizz,I hope this will be good for your assignment,quiz ...
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I will share to you my perfect score of this Math Quizz,I hope this will be good for your assignment,quiz ...
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The note explain Pythagorean theorem give its application and its proof using algebra.
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ALL ECONOMICS ,MATHEMATICS AND BUSINESS NOTES
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I wish that practice yourself from algebra or math. Hope i can earned real money from this selling old notes, ...
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An assessment guide to test the understanding of the topic: Number Bases 1.
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Teaches how to handle Calculations in Stoichiometry 1. It helps the student overcome one of the biggest challenges in Chemistry. ...
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Factorization, solving for x, rationalization, and simplifying made practically easy.
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Topic: Measurement
Sub-topics: Volume of prisms, volume of pyramids, volume of sphere, units of time, units of speed
...
Topic: Measurement
Sub-topics: Volume of prisms, volume of pyramids, volume of sphere, units of time, units of speed
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Topic: Measurement
Sub-topics: Circumference, arc length, area, area of a sector
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Topic: Measurement
Sub-topics: Circumference, arc length, area, area of a
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Here's my note when I am a grade students, I hope this will help you , Thank you!
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Notes contains Formula sheet for mathematics and physics subject which helps student to learn them easily. All formulas at one ...
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Definition of Laplace and Inverse Laplace Transform. Examples of the Laplace transform of common functions. Properties of Laplace transform ...
Definition of Laplace and Inverse Laplace Transform. Examples of the Laplace transform of common functions. Properties of Laplace transform
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Proving trigonometry using special angles
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SPM
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Students can get good marks by preparing and understanding the previous exam questions. In addition questions are asked from past ...
Students can get good marks by preparing and understanding the previous exam questions. In addition questions are asked from past papers as well.
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Students can get good marks by preparing and understanding the previous exam questions. In addition questions are asked from past ...
Students can get good marks by preparing and understanding the previous exam questions. In addition questions are asked from past papers as well.
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Students can get good marks by preparing and understanding the previous exam questions. In addition questions are asked from past ...
Students can get good marks by preparing and understanding the previous exam questions. In addition questions are asked from past papers as well.
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Students can get good marks by preparing and understanding the previous exam questions. In addition questions are asked from past ...
Students can get good marks by preparing and understanding the previous exam questions. In addition questions are asked from past papers as well.
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This notes will help you to find the solution for Bessel Differential equation
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APPLICATION OD DISCRATE MATH IN COMPUTER SCIENCE
APPLICATION OF SET
A[[LICATION OF GRAPIC
APPLICATION IN TREE
IN APPLICATION COVER 6-7 DIFFERENT ...
APPLICATION OD DISCRATE MATH IN COMPUTER SCIENCE
APPLICATION OF SET
A[[LICATION OF GRAPIC
APPLICATION IN TREE
IN APPLICATION COVER 6-7 DIFFERENT LESSON HOW USE APPLICATION OF DISCREATE MATH
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ARRAY IN C++ FIND MINIMUM VALUE AND HOW PRINTARRAYS ,HOW CIN AND COUT AND LOOPS CONCEPT USE
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Easy approach on how to deal with algebraic expression. In this document, you will understand how to operate the basic ...
Easy approach on how to deal with algebraic expression. In this document, you will understand how to operate the basic of algebraic expression. This is the very first topic of algebra to be fully analyzed further topic of engineering.
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The following equation can be used to compute values of y as a function of x: y = be−ax sin(bx) ...
The following equation can be used to compute values of y as a function of x: y = be−ax sin(bx) (0.012x4 − 0.15x3 + 0.075x2 + 2.5x)
where a and b are parameters. Write the equation for implementation with MATLAB, where a = 2, b = 5, and x is a vector holding values from 0 to π∕2 in increments of Δx = π∕40. Employ the minimum number of periods (i.e., dot notation) so that your formulation yields a vector for y. In addition, compute the vector z = y2 where each element holds the square of each element of y. Combine x, y, and z into a matrix w, where each column holds one of the variables, and display w using the short g format. In addition, generate a labeled plot of y and z versus x. Include a legend on the plot (use help to understand how to do this). For y, use a 1.5-point, dashdotted red line with 14-point, rededged, white-faced pentagram-shaped markers. For z, use a standard-sized (i.e., default) solid blue line with standard-sized, blue-edged, green-faced square markers.
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MS OFFICE 100 SHORT KEYS FOR ALL LEVEL OF STUDENTS
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Complete description of Indus Civilization (Ancient History) in both Hindi and English language for better understanding.
These notes helpful for all ...
Complete description of Indus Civilization (Ancient History) in both Hindi and English language for better understanding.
These notes helpful for all government exams.
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This document is made of mixing properties of linear algebra and lot of explanations, matrix and more.
To prepare for exams ...
This document is made of mixing properties of linear algebra and lot of explanations, matrix and more.
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LESSONS: MEASUREMENTS, VECTORS AND SCALARS, and VELOCITY AND ACCELERATION
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Motion on a Plane: Projectile Motion
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In this study material I have completed
(1) Basics concepts of parabola
(2) Standard equations of parabola with examples
(3) Also provide questions ...
In this study material I have completed
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In these notes you can fully understand the Digestive System of human
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In this Study Materials I have completed (1) Basics Concepts Of Arc And Angles (2) How To Converts Degree Into ...
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In this study materials I have completed (1) Some basic concepts of trigonometric functions (2) Values Of Trigonometric Functions In ...
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In this study materials I have completed (1) Basic Concepts Of Hyperbola (2) Some Important Terms And Definitions Related To ...
In this study materials I have completed (1) Basic Concepts Of Hyperbola (2) Some Important Terms And Definitions Related To Hyperbola (3) Standard Equations Of Hyperbola (4) Also Provides Lots Of Solved Examples (5) Conventional Practice Questions With Answers
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In this Study materials I have completed Conic sections have their applications in various fields. Conic sections have their applications ...
In this Study materials I have completed Conic sections have their applications in various fields. Conic sections have their applications in various fields. Some of them are listed below. 1. We know that when an object is thrown in space then the path traced by the object (called a projectile) is a parabola. By using various properties of a parabola, we can find the equation of the path traced by the projectile. Also, we can obtain other useful information such as the greatest height attained by the projectile, its horizontal range, and so on. 2. In a parabolic reflector, light rays or sound waves directed parallel to its axis converge at the focus and are then reflected by it, parallel to the axis. Because of this property, parabolic reflectors are used in cars, automobiles, loudspeakers, solar cookers, telescopes, etc. 3. Cables shaped as parabolic arcs are used in the construction of suspension bridges. 4. The planets of the solar system move in elliptical paths with the sun at one of the foci. Artificial satellites are made to move in elliptical paths around the earth. 5. Hyperbolas have their applications in the field of ballistics. Suppose a gun is fired and its sound reaches two posts, situated at the two foci of a hyperbola, at different times. From the time difference, the distance between the two listening posts can be calculated.
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Helpful exam important Q/N good quality
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In This Study Materials I Have Completed
(1) Coordinates Of a Points In Space
(2) Distance Formula With Solved Examples
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In This Study Materials I Have Completed
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how to solve algabraic expression for adding to subtraction expression
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explanation of Quardratic formula
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In This Study Materials I Have Completed
(1) Concepts Of Subsets , Supersets , Proper Subsets With Lots Of Examples
(2) Some ...
In This Study Materials I Have Completed
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These notes meant to help student Understand the use of Differential and Integral Calculus in various branches of science and ...
These notes meant to help student Understand the use of Differential and Integral Calculus in various branches of science and Humanities, Understand the basics of differentiation and integration, Know how to compute derivative of a function by the first principal, derivative of a function by the use of various formulae and higher order differentiation, Make familiar with various techniques of integration, Understand the concept of definite integrals of functions and its properties.
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Algorithm is a finite set of instructions
that specify the sequence of operations to
be carried out in order to solve a ...
Algorithm is a finite set of instructions
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A flowchart is a graphical
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These notes include some exercises solved with Gauss Sum. They are fully solved, step-by-step. In this document are all ...
These notes include some exercises solved with Gauss Sum. They are fully solved, step-by-step. In this document are all types of exercises with Gauss Sum. My notes are aimed at the 2nd and 3rd years.
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These notes include some exercises solved with Gauss Sum. They are fully solved, step-by-step. In this document are all types ...
These notes include some exercises solved with Gauss Sum. They are fully solved, step-by-step. In this document are all types of exercises with Gauss Sum. My notes are aimed at the 2nd and 3rd years.
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I have summarized all the important formulae relevant to SAT which will be really helpful to you for a quick ...
I have summarized all the important formulae relevant to SAT which will be really helpful to you for a quick go through and remember the most important concepts before the test.
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This note contains all the important formula combined together for quick and easy revision
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In this study materials I have completed
(1) Some Laws Of Sets Like Union Of Sets , Intersections Of Sets , ...
In this study materials I have completed
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algebra is most important for math understanding
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A summary of descriptive statistics, covering: numerical or quantitative data, categorical or qualitative data, the graphical presentation of qualitative data, ...
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A summary on probability, covering: Venn-diagrams, permutations, combinations, conditional probability, Bayes’ rule, and independence. There are ample examples to aid ...
A summary on probability, covering: Venn-diagrams, permutations, combinations, conditional probability, Bayes’ rule, and independence. There are ample examples to aid your understanding.
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A summary on random variables, covering: Bernoulli random variable, binomial random variable, negative binomial random variable, geometric random variable, hypergeometric ...
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It contains discussions and problem examples with solutions. The discussions are about reynolds number, velocity distribution in pipes ( laminar ...
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In this pdf, you will learn all the 2D-3D Plots code in Matlab. You will get to know about all ...
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Well explained, step by step and easy to understand Lagrange multiplier sample problem. Calculus III, finding maximum and minimum of ...
Well explained, step by step and easy to understand Lagrange multiplier sample problem. Calculus III, finding maximum and minimum of the function using a constraint.
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This is a question of Bsc 2nd year mathematics (Algebra) unit 2 Himachal Pradesh
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BEST AND EASY ENGLISH GRAMMAR NOTES FOR CHILDREN
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Coursework of financial econometrics analysis specialized on:
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2. detailed theoretical analysis for linear multiple ...
Coursework of financial econometrics analysis specialized on:
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2. detailed theoretical analysis for linear multiple regression model
3. Data analysis Stock Quant Report - Model Estimation and Testing
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The notes give the non-build function that calculates the present value functions of level annuity, increasing level annuity and compound ...
The notes give the non-build function that calculates the present value functions of level annuity, increasing level annuity and compound increasing annuity
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Algebra _ Addition and Subtraction of Rational Expressions
A rational expression is a ratio of two polynomials. To add or subtract ...
Algebra _ Addition and Subtraction of Rational Expressions
A rational expression is a ratio of two polynomials. To add or subtract two rational expressions with the same denominator, we simply add or subtract the numerators and write the result over the common denominator. When the denominators are not the same, we must manipulate them so that they become the same.
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Algebra _ Applications of simultaneous linear
Simultaneous Equation is an essential Chapter in the Algebra branch of Mathematics. There are times ...
Algebra _ Applications of simultaneous linear
Simultaneous Equation is an essential Chapter in the Algebra branch of Mathematics. There are times when you come across two or more unknown quantities and two or more equations relating to them. These are called Simultaneous Equations.
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Algebra _ Computation of square root
COMPUTATION OF SQUARE ROOT The square root of a given number is another number which ...
Algebra _ Computation of square root
COMPUTATION OF SQUARE ROOT The square root of a given number is another number which when multiplied with itself results in the given number. Similarly, the square root of a given polynomial P(x) is another polynomial Q(x) which when multiplied by itself gives P(x). In the earlier classes you learnt to find square root of polynomials by factorisation method. Here, we find square root by the method of division. For polynomials of higher degree the method of division is very much useful. This method is similar to the division method of finding the square root of numbers.
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Algebra _ Factor Theorem
Factor Theorem Factor theorem is mainly used to factor the polynomials and to find the n roots ...
Algebra _ Factor Theorem
Factor Theorem Factor theorem is mainly used to factor the polynomials and to find the n roots of the polynomials. Factor theorem is very helpful for analyzing polynomial equations. In real life, factoring can be useful while exchanging money, dividing any quantity into equal pieces, understanding time, and comparing prices.
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Algebra _ Factorisation
Factorization using common factors To factorize an algebraic expression, the highest common factors of the terms of the ...
Algebra _ Factorisation
Factorization using common factors To factorize an algebraic expression, the highest common factors of the terms of the given algebraic expression are determined and then we group the terms accordingly. In simple terms, the reverse process of expansion of an algebraic expression is its factorization.
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Algebra _ G.C.D and L.C.M of Polynomials
1. To find GCD or LCM of polynomials, first we have to factor the ...
Algebra _ G.C.D and L.C.M of Polynomials
1. To find GCD or LCM of polynomials, first we have to factor the given polynomials. 2. The coefficients of the variables like x as much as possible. 3. If there is quadratic or cubic polynomial, then it has to be factored suitable algebraic identities. 4. To find GCD, multiply the common factors 5. To find LCM, multiply the factors with highest exponents.
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Algebra _ Least Common Multiple (L.C.M.)
The Least Common Multiple ( LCM ) is also referred to as the Lowest Common ...
Algebra _ Least Common Multiple (L.C.M.)
The Least Common Multiple ( LCM ) is also referred to as the Lowest Common Multiple ( LCM ) and Least Common Divisor ( LCD) . For two integers a and b, den oted LCM(a,b), the LCM is the smallest positive integer that is evenly divisible by both a and b.
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Algebra _ Multiplication and Division of Rational Expressions
Multiplying and Dividing Rational Expressions Multiplication of rational expressions works the same way ...
Algebra _ Multiplication and Division of Rational Expressions
Multiplying and Dividing Rational Expressions Multiplication of rational expressions works the same way as multiplication of any other fractions. We multi ply the numerators to find the numerator of the product, and then multiply the denominators to find the denominator of the product. Before multiplying, it is helpful to factor the numerators and denominators just as we did when simplifying rational expressions. We are often able to simplify the product of rational expressions.
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Algebra _ Partial fractions
What are Partial Fractions? When a rational expression is split into the sum of two or more ...
Algebra _ Partial fractions
What are Partial Fractions? When a rational expression is split into the sum of two or more rational expressions, the rational expressions that are a part of the sum are called partial fractions. This is referred to as splitting the given algebraic fraction into partial fractions.
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Algebra _ Problems leading to quadratic equations
Many word problems Involving unknown quantities can be translated for solving quadratic equations Methods ...
Algebra _ Problems leading to quadratic equations
Many word problems Involving unknown quantities can be translated for solving quadratic equations Methods of solving quadratic equations are discussed h ere in the following steps. Step I: Denote the unknown quantities by x, y etc. Step II: use the conditions of the problem to establish in unknown quantities. Step III: Use the equations to establish one quadratic equation in one unknown. Step IV: Solve this equation to obtain the value of the unknown in the set to which it belongs.
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Algebra _ Quadratic Equations
To solve a quadratic equation by factoring, Put all terms on one side of the equal sign, ...
Algebra _ Quadratic Equations
To solve a quadratic equation by factoring, Put all terms on one side of the equal sign, leaving zero on the other side. Factor. Set each factor equal to zero. Solve each of these equations. Check by inserting your answer in the original equation.
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Algebra _ Relation between H.C.F and L.C.M. of two polynomials
Learn about the relation between the highest common factor and least ...
Algebra _ Relation between H.C.F and L.C.M. of two polynomials
Learn about the relation between the highest common factor and least common factor of two polynomials on this page. First of all, know the definitions of H .C.F, L.C.M, and the relationship between them. Check the solved example questions in the below sections. We have listed the step-by-step solutions for all the example problems provided making it easy for you to understand the concepts.
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Algebra _ Relation between roots and coefficients
Solution: Let α and β be the roots of the given equation. Sometimes the ...
Algebra _ Relation between roots and coefficients
Solution: Let α and β be the roots of the given equation. Sometimes the relation between roots of a quadratic equation is given and we are asked to find the condition i.e., relation between the coefficients a, b and c of quadratic equation. This is easily done using the formula α + β = -ba and αβ = ca.
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Algebra _ Remainder theorem, factor theorem and synthetic division
The Remainder Theorem states that the remainder that we end up with ...
Algebra _ Remainder theorem, factor theorem and synthetic division
The Remainder Theorem states that the remainder that we end up with when synthetic division is applied actually gives us the functional value. Another use is finding factors and zeros. The Factor Theorem states that if the functional value is 0 at some value c, then x - c is a factor and c is a zero.
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Algebra _ Roots of the quadratic equation
Roots of Quadratic Equation. The values of variables satisfying the given quadratic equation are ...
Algebra _ Roots of the quadratic equation
Roots of Quadratic Equation. The values of variables satisfying the given quadratic equation are called its roots. In other words, x = α is a root of the quadratic equation f(x), if f(α) = 0. The real roots of an equation f(x) = 0 are the x-coordinates of the points where the curve y = f(x) intersect the x-axis.
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Algebra _ Simplification of rational expressions
Step 1: Factor the numerator and the denominator. Step 2: List restricted values. Step 3: ...
Algebra _ Simplification of rational expressions
Step 1: Factor the numerator and the denominator. Step 2: List restricted values. Step 3: Cancel common factors. Step 4: Reduce to lowest terms and note any restricted values not implied by the expression.
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Algebra _ Simultaneous Equations
The simultaneous equation is an equation that involves two or more quantities that are related using two ...
Algebra _ Simultaneous Equations
The simultaneous equation is an equation that involves two or more quantities that are related using two or more equations. It includes a set of few independent equations. The simultaneous equations are also known as the system of equations, in which it consists of a finite set of equations for which the common solution is sought. To solve the equations, we need to find the values of the variables included in these equations. The system of equations or simultaneous equations can be classified as: Simultaneous linear equations (Or) System of linear equations Simultaneous non-linear equations System of bilinear equations Simultaneous polynomial equations System of differential equations.
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Algebra _ Solving Quadratic Equation by Factorisation Method
To solve an quadratic equation using factoring : 1 . Transform the equation ...
Algebra _ Solving Quadratic Equation by Factorisation Method
To solve an quadratic equation using factoring : 1 . Transform the equation using standard form in which one side is zero. 2 . Factor the non-zero side. 3 . Set each factor to zero (Remember: a product of factors is zero if and only if one or more of the factors is zero). 4 . Solve each resulting equation.
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Algebra _ Synthetic Division
Synthetic division is another way to divide a polynomial by the binomial x - c , where ...
Algebra _ Synthetic Division
Synthetic division is another way to divide a polynomial by the binomial x - c , where c is a constant. Step 1: Set up the synthetic division. An easy way to do this is to first set it up as if you are doing long division and then set up your synthetic division.
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Algebra _ Undetermined Coefficients
In mathematics, the method of undetermined coefficients is an approach to finding a particular solution to certain ...
Algebra _ Undetermined Coefficients
In mathematics, the method of undetermined coefficients is an approach to finding a particular solution to certain non homogeneous ordinary differential equations and recurrence relations.
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This document summarizes all high school derivative rules, everything from the limit definition of the derivative up to the advanced ...
This document summarizes all high school derivative rules, everything from the limit definition of the derivative up to the advanced ones like derivative of an exponential or derivative of an inverse trigonometric functions. You can use this document to have all of your derivatives in one go.
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This document summarizes all high school derivative rules, everything from the limit definition of the derivative up to the advanced ...
This document summarizes all high school derivative rules, everything from the limit definition of the derivative up to the advanced ones like derivative of an exponential or derivative of an inverse trigonometric functions. You can use this document to have all of your derivatives in one go.
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A lesson on Ration and proportions. It also contains worked example questions.
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This is a question from Indian Maths Olympiad with the right answer and solutions. If a = b = 1, ...
This is a question from Indian Maths Olympiad with the right answer and solutions. If a = b = 1, a^2 = b^2 = 2 . Then a^8 + b^8 = ?
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This is a Math question with the correct answer with solutions. find the x^2 = x = 1/ x^5 ...
This is a Math question with the correct answer with solutions. find the x^2 = x = 1/ x^5 = ?
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This is a question of a Geometry ABCD parallel x = ? with the correct answer with solution.
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This is about Math finding out if ax^3 - x^2 - x + 2 = 0 is Double root. This ...
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This is Mathematics. Finding the value of 7 if 2^3 = 4^4 = 8^7, and (1^2x + 1^44 + 1^67) ...
This is Mathematics. Finding the value of 7 if 2^3 = 4^4 = 8^7, and (1^2x + 1^44 + 1^67) = 24^7. This has the correct answer with solution. Perfect for your quiz, test, etc. or checking your answer!
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This is about Mathematics finding out the minimized of 3x^(2)-4xy+5y^(2)+16x-18y+20 with the correct answer and solution. Perfect if you ...
This is about Mathematics finding out the minimized of 3x^(2)-4xy+5y^(2)+16x-18y+20 with the correct answer and solution. Perfect if you want to know or check your answer of this question!
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This is about Mathematics. If the Perimeter = 216, then Area = 1944, find the value of a^2 + b^2 ...
This is about Mathematics. If the Perimeter = 216, then Area = 1944, find the value of a^2 + b^2 = c^2. This has the correct answer with solution. Perfect if you need answer or check your answer with this question!
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Fourier Series Solution In Cartesian Co-Ordinates,fourier series, differential equation
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Linear Partial Differential Equations.
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Partial Differential Equations by Elimination of Arbitrary Functions
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Mathematics Algebra Evaluating the integral Question and correct Answer with Solution. Perfect if you want to find the answer ...
Mathematics Algebra Evaluating the integral Question and correct Answer with Solution. Perfect if you want to find the answer for this question or use it as a reference to get a perfect score.
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Mathematics Algebra Evaluating the integral of 1∫0 sin -^1 ⋅ cos-^1 x dx = ? Question and correct ...
Mathematics Algebra Evaluating the integral of 1∫0 sin -^1 ⋅ cos-^1 x dx = ? Question and correct Answer with Solution. Perfect if you want to find the answer for this question or use it as a reference to get a perfect score.
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Mathematics Algebra Evaluating the integral Question and correct Answer with Solution. Perfect if you want to find the answer ...
Mathematics Algebra Evaluating the integral Question and correct Answer with Solution. Perfect if you want to find the answer for this question or use it as a reference to get a perfect score.
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Mathematics Algebra Evaluating the integral Question and correct Answer with Solution. Perfect if you want to find the answer ...
Mathematics Algebra Evaluating the integral Question and correct Answer with Solution. Perfect if you want to find the answer for this question or use it as a reference to get a perfect score.
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Mathematics Algebra Evaluating the integral of 1∫0 sin -^1 ⋅ cos-^1 x dx = ? Question and correct ...
Mathematics Algebra Evaluating the integral of 1∫0 sin -^1 ⋅ cos-^1 x dx = ? Question and correct Answer with Solution. Perfect if you want to find the answer for this question or use it as a reference to get a perfect score.
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This document explains how to express a fraction as a percent, decimal, or fraction.
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This document contains information on Hindu Arabic numerals.
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This document explains what it means to rewrite a number to a different base.
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the easy medium and though questions on ordinary differential equations, this is a must to try before giving your mathematics ...
the easy medium and though questions on ordinary differential equations, this is a must to try before giving your mathematics paper
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It includes differentiation, integration and probability.
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Cambridge A Level Physics 9702_chapter 17. My note contain details about radian measures, angular displacement & speed and centripetal acceleration ...
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Polynomial interpolation is a method of estimating values between known data points. When graphical data contains a gap, but data ...
Polynomial interpolation is a method of estimating values between known data points. When graphical data contains a gap, but data is available on either side of the gap or at a few specific points within the gap, an estimate of values within the gap can be made by interpolation.
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A sequence is defined as an arrangement of numbers in a particular order. On the other hand, a series is ...
A sequence is defined as an arrangement of numbers in a particular order. On the other hand, a series is defined as the sum of the elements of a sequence.
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Used to analysis the strictire which is statically undetermined
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This is a simple example for calculating algorithm's complexity.Subject is called Algorithm Complexity analysis.
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Summary on Chapter 1 Algebra containing notes, study guide, formulas and explanations on said formulas which can help make better ...
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Land area measures symbol of feet abbreviation of feet inches
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This note is on simple Interest in mathematics. It is for students mostly in middle school. Herein are questions with ...
This note is on simple Interest in mathematics. It is for students mostly in middle school. Herein are questions with explained solutions for better understanding.
It shows how to solve for each value and how to make each value the subject of the formula and proceed solving.
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(Set, Subset, Cardinality of Set, 3 Ways of Describing a Set, Equal and Equivalent Sets, Types of Set) Lesson and ...
(Set, Subset, Cardinality of Set, 3 Ways of Describing a Set, Equal and Equivalent Sets, Types of Set) Lesson and Sample Activities
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Define function
Define Relation
Types of Function
1. Increasing Function
2. Decreasing Function
3. Explicit Function
4. Implicit Function
5. Single Valued Function
6. Multi Valued Function
7. Inverse ...
Define function
Define Relation
Types of Function
1. Increasing Function
2. Decreasing Function
3. Explicit Function
4. Implicit Function
5. Single Valued Function
6. Multi Valued Function
7. Inverse Function
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What is function? Write down the types of function
Define function Define Relation Types of Function 1. Increasing Function 2. Decreasing ...
What is function? Write down the types of function
Define function Define Relation Types of Function 1. Increasing Function 2. Decreasing Function 3. Explicit Function 4. Implicit Function 5. Single Valued Function 6. Multi Valued Function 7. Inverse Function
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ALL DIFFERENT STRATEGIES INVOLVED IN AGEBRA.
ALGEBRA EQUATIONS AND THEIR APPLICATIONS.
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INTRODUCTION TO TRIGONOMETRY INSIDE CALCULUS
ALL THE LIMITS AND DERIVATIVES REQUIRING TRIGONOMETRY ASPECTS
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DEFFERENTIATION OF CALCULUS FUNCTIONS AND ALL THE DEFFERENT TYPES OF DERIVATIVES USING CONTINUITY RULES.
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DIFFERENT APPROACHES TO DEFFERENTIATING DIFFERENT LIMIT AND DERIVATIVES
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DEFFERENTIATION OF TRIGONOMETRIC FUNCTIONS
CALCULUS CHAPTER FOR 1st YEAR BEGGINERS.
EVERYTHING REQUIRED
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HEY BEAUTIFUL STUDENTS,
I am here for giving you a great help in finding out the best and quality study material ...
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In today;s notes chapter electricity has been covered with all important and demanding questions in exam .
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exam questions with complete answer and explanation
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A guide to understanding Algebra
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In this paper we mainly study the necessary conditions for the existence of functionally independent generalized rational first integrals of ...
In this paper we mainly study the necessary conditions for the existence of functionally independent generalized rational first integrals of ordinary differential systems via the resonances. The main results extend some of the previous related ones, for instance the classical Poincar\'e's one \cite{Po}, the Furta's one, part of Chen's ones, and the Shi's one. The key point in the proof of our main results is that functionally independence of generalized rational functions implies the functionally independence of their lowest order rational homogeneous terms.Comment: 22. Journal of Differential Equations, 201
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The electromagnetic Green's function is expressed from the inverse Helmholtz operator, where a second frequency has been introduced as a ...
The electromagnetic Green's function is expressed from the inverse Helmholtz operator, where a second frequency has been introduced as a new degree of freedom. The first frequency results from the frequency decomposition of the electromagnetic field while the second frequency is associated with the dispersion of the dielectric permittivity. Then, it is shown that the electromagnetic Green's function is analytic with respect to these two complex frequencies as soon as they have positive imaginary part. Such analytic properties are also extended to complex wavevectors. Next, Kramers-Kronig expressions for the inverse Helmholtz operator and the electromagnetic Green's function are derived. In addition, these Kramers-Kronig expressions are shown to correspond to the classical eigengenmodes expansion of the Green's function established in simple situations. Finally, the second frequency introduced as a new degree of freedom is exploited to characterize non-dispersive systems.
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We propose a general framework for quantum field theory on the de Sitter space-time (i.e. for local field theories whose ...
We propose a general framework for quantum field theory on the de Sitter space-time (i.e. for local field theories whose truncated Wightman functions are not required to vanish). By requiring that the fields satisfy a weak spectral condition, formulated in terms of the analytic continuation properties of their Wightman functions, we show that a geodesical observer will detect in the corresponding ``vacuum'' a blackbody radiation at temperature T=1/(2 \pi R). We also prove the analogues of the PCT, Reeh-Schlieder and Bisognano-Wichmann theorems.
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Summary of the contents, with examples, of the first lecture of Calculus II for Physical Sciences at the University of ...
Summary of the contents, with examples, of the first lecture of Calculus II for Physical Sciences at the University of Toronto Scarborough.
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course is human medicine that is pathology .The given notes is written about the epistaxis which means bleeding from the ...
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For the Graduate Record Examination, arithmetic is crucial. This content covers the principles of arithmetic, as well as a few ...
For the Graduate Record Examination, arithmetic is crucial. This content covers the principles of arithmetic, as well as a few solved examples and a large number of practice problems with solutions. There are a variety of question formats to practice with varying levels of difficulty.
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Summary of the contents, with examples, of the second lecture of Calculus II for Physical Sciences at the University of ...
Summary of the contents, with examples, of the second lecture of Calculus II for Physical Sciences at the University of Toronto Scarborough.
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Explanation by examples of integration by partial fraction decomposition.
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These formulas are basically for academic level for 12th standard students. All formulas are in their general form. Have it ...
These formulas are basically for academic level for 12th standard students. All formulas are in their general form. Have it for your fastest revision before exam.
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This chapter reviews real numbers, inequalities, intervals, and absolute values (9 pages).
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THESE NOTES CONTAINS VALUABLE INFORMATION ABOUT COMPLEX NUMBERS
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INTRODYCTION TO BUSINESS STATISTICS
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In this notes there are motion ,rest , physical quantity,
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These notes cover formulae and brief description of many topics of mathematical physics/engineering at the level it is taught in ...
These notes cover formulae and brief description of many topics of mathematical physics/engineering at the level it is taught in undergraduate courses.
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Set theory and Demorgan's law explained with examples
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this is the summary and details about matrices and somepoints and basics that you should already know
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CONVERSE, INVERSE AND CONTRAPOSITIVE
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Are you looking for best and easy notes? So what are you waiting for? Here are the most easiest and ...
Are you looking for best and easy notes? So what are you waiting for? Here are the most easiest and best notes.
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Functional analysis helps to solve problems where the vector space is no longer finite-dimensional, a situation that arises very naturally ...
Functional analysis helps to solve problems where the vector space is no longer finite-dimensional, a situation that arises very naturally in many concrete problems. Topics will include normed spaces, completeness, functionals, Hahn-Banach theorem, duality, operators; Lebesgue measure, measurable functions, integrability, completeness of Lᵖ spaces; Hilbert spaces; compact and self-adjoint operators; and the spectral theorem.
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These notes are used for giving ideas regarding icons when starting up a website related to Mathematics specifically Geometry.
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These notes are for high school students and website developers who need ideas for icons to use in a Project ...
These notes are for high school students and website developers who need ideas for icons to use in a Project for Geometry, specifically, a website.
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This is a concept map of the Peruvian and North American Number systems. This is for students who take courses ...
This is a concept map of the Peruvian and North American Number systems. This is for students who take courses in History of Mathematics.
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Types of numbers and their examples. Laws of indices and examples. How to work out standard form with examples provided. ...
Types of numbers and their examples. Laws of indices and examples. How to work out standard form with examples provided. Exam questions with answers provided.
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An easy way of solving Quadratic Equations
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The conceptual knowledge of the students increases by studying from the Revision Notes. These notes talk about each concept of ...
The conceptual knowledge of the students increases by studying from the Revision Notes. These notes talk about each concept of the chapter therefore by accessing these notes students will comprehend each topic easily.
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JEE Main Sets Relations And Functions Revision Notes are one of the best revision notes available online because these notes are prepared for subject experts at Vedantu. Going through the revision notes will help the student to get an idea about the type of questions appearing in the examination.
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In this chapter we are going to be looking at various integration techniques. There are a fair number of them ...
In this chapter we are going to be looking at various integration techniques. There are a fair number of them and some will be easier than others. The point of the chapter is to teach you these new techniques and so this chapter assumes that you’ve got a fairly good working knowledge of basic integration as well as substitutions with integrals. In fact, most integrals involving “simple” substitutions will not have any of the substitution work shown. It is going to be assumed that you can verify the substitution portion of the integration yourself.
Also, most of the integrals done in this chapter will be indefinite integrals. It is also assumed that once you can do the indefinite integrals you can also do the definite integrals and so to conserve space we concentrate mostly on indefinite integrals. There is one exception to this and that is the Trig Substitution section and in this case there are some subtleties involved with definite integrals that we’re going to have to watch out for. Outside of that however, most sections will have at most one definite integral example and some sections will not have any definite integral examples.
Here is a list of topics that are covered in this chapter.
Integration by Parts – In this section we will be looking at Integration by Parts. Of all the techniques we’ll be looking at in this class this is the technique that students are most likely to run into down the road in other classes. We also give a derivation of the integration by parts formula.
Integrals Involving Trig Functions – In this section we look at integrals that involve trig functions. In particular we concentrate integrating products of sines and cosines as well as products of secants and tangents. We will also briefly look at how to modify the work for products of these trig functions for some quotients of trig functions.
Trig Substitutions – In this section we will look at integrals (both indefinite and definite) that require the use of a substitutions involving trig functions and how they can be used to simplify certain integrals.
Partial Fractions – In this section we will use partial fractions to rewrite integrands into a form that will allow us to do integrals involving some rational functions.
Integrals Involving Roots – In this section we will take a look at a substitution that can, on occasion, be used with integrals involving roots.
Integrals Involving Quadratics – In this section we are going to look at some integrals that involve quadratics for which the previous techniques won’t work right away. In some cases, manipulation of the quadratic needs to be done before we can do the integral. We will see several cases where this is needed in this section.
Integration Strategy – In this section we give a general set of guidelines for determining how to evaluate an integral. The guidelines give here involve a mix of both Calculus I and Calculus II techniques to be as general as possible. Also note that there really isn’t one set of guidelines that will always work and so you always need to be flexible in following this set of guidelines.
Improper Integrals – In this section we will look at integrals with infinite intervals of integration and integrals with discontinuous integrands in this section. Collectively, they are called improper integrals and as we will see they may or may not have a finite (i.e. not infinite) value. Determining if they have finite values will, in fact, be one of the major topics of this section.
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Topics Covered in Methods of Integration: Definitions, Types, Examples
Integration is used to add large values in mathematics when the calculations ...
Topics Covered in Methods of Integration: Definitions, Types, Examples
Integration is used to add large values in mathematics when the calculations cannot be performed on general operations. There are many methods of integration that are used specifically to solve complex mathematical operations.
The different kinds of methods of integration are: -
Integration by Parts.
Method of Integration Using Partial Fractions.
Integration by Substitution Method.
Integration by Decomposition.
Reverse Chain Rule.
Integration Using Trigonometric Identities.
All methods of integration are important. Integration by parts is one of the best because it is used when a function that has to be integrated is written as a product of two or more. Integration by parts is also known as the product rule of integration and the UV method of integration. When you have to integrate rational functions, a method of integration using partial fractions is used. The reverse chain rule is also one of the easiest and most commonly used methods of integration.
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7 pages of class notes about Fourier series in the Harmonic Analysis course. Written in Latex. It has plots
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12 pages with lots of information on limits of sequences - Definitions, theorems with proofs, examples. Explanation about Fibonacci sequence
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15 pages with lots of information about convergence of series - Definitions, theorems with proofs, lots of examples. A very ...
15 pages with lots of information about convergence of series - Definitions, theorems with proofs, lots of examples. A very interesting application with pi and another one with the Koch Curve.
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14 pages. Continuity of functions: Definitions, theorems with proofs, lots of examples and a particular pathological function - Thomae's function
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Test of Reliability - test-retest method Example question and answer. non/Correlational.
The mathematics teachers constructed 50 item questions and wished to ...
Test of Reliability - test-retest method Example question and answer. non/Correlational.
The mathematics teachers constructed 50 item questions and wished to test the reliability of the test using test - retest method. The tests were given to 20 students. Results of the test are shown in the table below. Test the reliability of the test.
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math lessons for 1st yr. college
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There are chapters: simulation from a known distribution, simulation techniques and methods(rejection sampling, importance sampling, etc.), Random vectors and copulas, ...
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I have developed this beautifull application in DevC++. In this application you can print heart with your lover name .
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Aptitude Test Important Questions and Answers
(For all types ...
Aptitude Test Important Questions and Answers
(For all types of competitive exams)
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If You are start learning trigonometry then you want to learn its basics rules and formulas.in this notes you will ...
If You are start learning trigonometry then you want to learn its basics rules and formulas.in this notes you will learn its basics.
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MATH CHAPTER PERMUTAION AND COMBINATION MOST IMPORTANT QUESTION / TOP 100 QUESTIONS OF MATH/ CPA STUDENT / JEE/ CA / ...
MATH CHAPTER PERMUTAION AND COMBINATION MOST IMPORTANT QUESTION / TOP 100 QUESTIONS OF MATH/ CPA STUDENT / JEE/ CA / FOR ALL STUDENT CLASS 10. AND 12 CAN ALSO TAKE TEST AND SCORE YOUR EXAM PROBABILITY TO PASS IN EXAM
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Complex number class 11 chapter 5 ncertComplex number class 11 chapter 5 ncertComplex number class 11 chapter 5 ncertComplex number ...
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Complex number class 11 chapter 5 ncertComplex number class 11 chapter 5 ncertComplex number class 11 chapter 5 ncert
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LESSON FOR FUNCTION AND RELATION
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This RACE is a type of self analytic test for class 11th students . This RACE is of maths chapter ...
This RACE is a type of self analytic test for class 11th students . This RACE is of maths chapter sets
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Differentiation notes of math for class 12
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Linear Function, graph Linear Function
find the slope (m)
Linear Functions with m=2 What happens if we change b
compare the three ...
Linear Function, graph Linear Function
find the slope (m)
Linear Functions with m=2 What happens if we change b
compare the three lines: with different b(y-intercept of the line)
Linear Functions with m=1
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Google being a full-text search engine, it indexes entire web pages instead of just titles and descriptions.
This allows comprehensive searches ...
Google being a full-text search engine, it indexes entire web pages instead of just titles and descriptions.
This allows comprehensive searches based upon key (query) words. Straight from the Google search page.
Google's Boolean default is AND; that means if you enter query words without modifiers, Google will search for all of them.
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cross multiplication method to solve linear equations
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division algorithm for polynomials
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elimination method to solve linear equations
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These notes includes chapters - Circles, Parabola, Ellipse, Hyperbola. Notes are useful for 11th class students as well as students ...
These notes includes chapters - Circles, Parabola, Ellipse, Hyperbola. Notes are useful for 11th class students as well as students preparing for entrance exams e.g. JEE etc.
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The lesson notes contain solved questions on exponents for 1st year beginner.
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In maths Vector Space is most Easy Topic to Understand by using my Notes,So Refer my Notes Once
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In maths Vector Space is most Easy Topic to Understand by using my Notes,So Refer my Notes Once
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This note is from the first hand of a student who attended the classes. Help you understand the course and ...
This note is from the first hand of a student who attended the classes. Help you understand the course and build structures.
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This note aims to show you how to calculate the pensions in insurance. And there are part 2 and part ...
This note aims to show you how to calculate the pensions in insurance. And there are part 2 and part 3.
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This note aims to show you how to calculate the pensions in insurance. And there is also part 3.
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This note is for master's or bachelor's students to learn about associated single decrement table calculations. It is as straightforward ...
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This note is for master's or bachelor's students to learn about gross premium reserves calculations in the insurance field. It ...
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This note is for master's or bachelor's students to learn about gross insurance premiums, following gross premium reserves notes. It ...
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This note is for master's or bachelor's students to learn about Markov chain application part 1. It is as straightforward ...
This note is for master's or bachelor's students to learn about Markov chain application part 1. It is as straightforward as possible. There is part 2 for further explanation.
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This note is for master's or bachelor's students to learn about Markov chain application part 2. It is as straightforward ...
This note is for master's or bachelor's students to learn about Markov chain application part 2. It is as straightforward as possible, following part 1.
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This note is for master's or bachelor's students to learn about the Markov chain and process via formulas. It is ...
This note is for master's or bachelor's students to learn about the Markov chain and process via formulas. It is as straightforward as possible.
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This note allows master's students to learn modified reserves and other reserves formulas. It is as straightforward as possible.
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This note allows master's and bachelor’s students to learn mortality estimation, which helps you to estimate individual or group mortality ...
This note allows master's and bachelor’s students to learn mortality estimation, which helps you to estimate individual or group mortality with limited information. It is as straightforward as possible.
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This note allows master's students to learn additional information about mortality estimation, following the mortality estimation note. It is as ...
This note allows master's students to learn additional information about mortality estimation, following the mortality estimation note. It is as straightforward as possible.
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This note allows master's students to learn mortality improvement models, which represent multiple models. It is as straightforward as possible. ...
This note allows master's students to learn mortality improvement models, which represent multiple models. It is as straightforward as possible.
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This note allows master's students to learn additional mortality improvement models representing multiple models. It is as straightforward as possible. ...
This note allows master's students to learn additional mortality improvement models representing multiple models. It is as straightforward as possible.
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This note allows master's students to learn multiple decrements insurance and annuity. It is as straightforward as possible.
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This note allows master's students to learn multiple lives. It is as straightforward as possible. This is part 1, there ...
This note allows master's students to learn multiple lives. It is as straightforward as possible. This is part 1, there are part 2 and part 3.
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This note allows master's students to learn multiple lives. It is as straightforward as possible. This is part 2, there ...
This note allows master's students to learn multiple lives. It is as straightforward as possible. This is part 2, there are part 1 and part 3.
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This note allows master's students to learn multiple lives. It is as straightforward as possible. This is part 3, there ...
This note allows master's students to learn multiple lives. It is as straightforward as possible. This is part 3, there are part 2 and part 1.
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This note allows master's students to learn multiple lives annuity. It is as straightforward as possible.
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This note allows master's students to learn profit measurements. It is as straightforward as possible.
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This note allows master's students to learn reserve recursion. It is as straightforward as possible.
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VERY IMPORTANT!!
Monte Carlo analysis to measure Uncertainty - DETAILED NOTES, PRACTICE Q/A
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Chapter 2 - Theory of Quadratic Equation
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In this study guide, all about Simple Interest and Simple Discount topics will be discuss such as:
-final value / maturity ...
In this study guide, all about Simple Interest and Simple Discount topics will be discuss such as:
-final value / maturity value
- ordinary and exact interest
- actual time and approximate time
- ordinary interest for actual and approximate time
- exact interest for actual and approximate time
- accumulation and discount at simple interest
- discounting an interest bearing note before maturity
- discounting a non interest bearing note before maturity
There are also examples such as problem solving provided on every topic. Very clear, easy and understandable. I assure you this will help you understand more about Simple Interest and Simple Discount.
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My document is about the summary of all important concepts with explained examples of O-Level Math D 4024. I also ...
My document is about the summary of all important concepts with explained examples of O-Level Math D 4024. I also mentioned all the formulas that students need in O-Level Math D 4024.
The main concepts that I covered are:
Order of operations
standard form
significant figures
decimal places
Conversion factors
percentages
Cost Price Sale price in terms of Profit loss
percentile
simple interest compound interest
speed
distance and time
direct and inverse Variations
Upper Lower Bounds
Pythagoras theorem
area and perimeter formulas
surface area and volume formulas
Geometry Concepts
angle at a point
angle on straight line
Vertically opposite angles
parallel lines
alternate angles
corresponding angles
Types of Angles
Congruent Triangles
Similar Triangles
areas of similar triangles
similar solids
polygons
trigonometry
Sine Rule Cosine Rule
gradient
equation of a straight line
Midpoint Length of a Line segment
Matrix Inverse and Determinant
statistics
probability
CIRCLE concepts and theorems
tangents to a circle
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These notes comprises of some basic but most important questions about human body and answer to all these question are ...
These notes comprises of some basic but most important questions about human body and answer to all these question are mentioned as well.
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ADDING AND SUBTRACTING ALGEBRAIC EXPRESSIONS 2
Addition and subtraction of monomials: 2
MULTYPLY ALGEBRAIC EXPRESSIONS 3
Multiply polynomials by monomials 3
Multiply polynomials by polynomials 4
DIVIDING ALGEBRAIC EXPRESSIONS 5
Dividing monomials ...
ADDING AND SUBTRACTING ALGEBRAIC EXPRESSIONS 2
Addition and subtraction of monomials: 2
MULTYPLY ALGEBRAIC EXPRESSIONS 3
Multiply polynomials by monomials 3
Multiply polynomials by polynomials 4
DIVIDING ALGEBRAIC EXPRESSIONS 5
Dividing monomials by monomials 5
Dividing polynomials by integers and monomials 5
Rational Expressions 6
Simplifying rational expressions using algebraic Identities 6
Simplifying an rational expressions using factorization 6
Multiplying Rational expressions 7
Dividing a Rational expression with another Rational expression 8
Sum and Difference of Rational Expressions 9
To add or subtract two rational expressions with the same denominator 9
To add or subtract two rational expressions with unlike denominator 10
Remainder Theorem 11
Divide the polynomial by monomial 11
Divide the polynomial by polynomial 11
Algebraic Identities 12
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These notes are good for studying!
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A handwritten illustration of solving several algebraic expressions with an emphasis on exponents. I solve 8 problems as clearly as ...
A handwritten illustration of solving several algebraic expressions with an emphasis on exponents. I solve 8 problems as clearly as possible.
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This document contains information about the ALevels electrochemistry
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ADDING AND SUBTRACTING ALGEBRAIC EXPRESSIONS 2
Addition and subtraction of monomials: 2
MULTYPLY ALGEBRAIC EXPRESSIONS 4
Multiply polynomials by monomials 4
Multiply polynomials by polynomials 5
DIVIDING ALGEBRAIC EXPRESSIONS 7
Dividing monomials ...
ADDING AND SUBTRACTING ALGEBRAIC EXPRESSIONS 2
Addition and subtraction of monomials: 2
MULTYPLY ALGEBRAIC EXPRESSIONS 4
Multiply polynomials by monomials 4
Multiply polynomials by polynomials 5
DIVIDING ALGEBRAIC EXPRESSIONS 7
Dividing monomials by monomials 7
Dividing polynomials by integers and monomials 8
Rational Expressions 10
Simplifying rational expressions using algebraic Identities 10
Simplifying an rational expressions using factorization 11
Multiplying rational expressions 11
Dividing a Rational expression with another rational expression 13
Sum and Difference of Rational Expressions 14
To add or subtract two rational expressions with the same denominator 14
To add or subtract two rational expressions with unlike denominator 15
Algebraic Identities 17
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This explains what significant figures are and the rules of how they work.
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Introduction to Probability by Professors of Electrical Engineering and Computer Science,
Massachusetts Institute of Technology
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A good study material for any student wishing to learn website development . it includes html and CSS code ...
A good study material for any student wishing to learn website development . it includes html and CSS code examples.
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A good study material for any student wishing to learn website development . it includes html and CSS code ...
A good study material for any student wishing to learn website development . it includes html and CSS code examples.
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In this chapter, polynomial division and the factor
and However, before this, some essential algebra
revision on basic laws and equations is ...
In this chapter, polynomial division and the factor
and However, before this, some essential algebra
revision on basic laws and equations is included
mathematics engineering engineer collage business math algebra school fractions logarithms equations angle arithmetic
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Basic Engineering Mathematics - angles and triangles
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Basic Engineering Mathematics - irregular areas-volume and mean of values
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Basic Engineering Mathematics - ratio & proportion
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Basic Engineering Mathematics- basic algebra
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Basic Engineering Mathematics -Basic arthmetic
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Basic Engineering Mathematics -Decimals
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Basic Engineering Mathematics- Exponential functions
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Basic Engineering Mathematics- further algebra
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Basic Engineering Mathematics- introduction to trigonometry
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Basic Engineering Mathematics -percentage
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Basic Engineering Mathematics -powers -rules and laws of indices
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Basic Engineering Mathematics- solving quadratic equations
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Basic Engineering Mathematics- solving simultaneous equations
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Matrix calculus (row reduction).
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Graph theory investigates the structure, properties, and algorithms associated with graphs.
Graphs have a number of equivalent representations; one representation, in ...
Graph theory investigates the structure, properties, and algorithms associated with graphs.
Graphs have a number of equivalent representations; one representation, in particular, is
widely used as the primary definition, a standard which this paper will also adopt.
A graph, denoted G, is defined as an ordered pair composed of two distinct sets
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This note talks about all things we did on term1
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Best Partial Fraction Decomposition breakdowns with example graphs.
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In order to face the covid-19 pandemic, the government are implementing education system through online learning at home. This study ...
In order to face the covid-19 pandemic, the government are implementing education system through online learning at home. This study aims to determine the difficulties experienced by students and teachers in implementing online learning of mathematics. Data collection methods are used interviews to mathematics teachers and questionnaire to students. Students involved in this study were 132 students from 21 different schools and 3 teachers from 3 different schools. The results of this study stated that students and teachers basically have diffuiculties in implementing online learning of mathematics during the pandemic covid 19. The most frequent difficulty was the difficulty of signals and internet quota. Difficulties experienced by teachers include, 1) There are still students who are late in participating in online learning, 2) Students who do not always active, actually inhibit the teacher in teaching so the teacher must contact students one by one. 3) Students who do not have a smartphone late to collect assignments so that the impact on late assessment, 4) Lack of understanding of the use of technology inhibits the creation of interactive media for teaching online. Some difficulties experienced by students include, 1) students have difficulty understanding the material because it is not explained directly, 2) students cannot ask questions or interact face to face with the teacher, 3) the teacher does not discuss or explain the solution of the exercises given. so students didn’t know the error and students could not evaluate the results of their own learning.
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Summary of Egyptian number system
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Summary of the Egyptian number system.
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Summary of Egyptian number system
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Past papers for mathematics students
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Mathematics notes for mathematics students
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Hi
i am expert in mathematics. I have done my
graduation with double math .I have
been teaching for one year.I love to
help ...
Hi
i am expert in mathematics. I have done my
graduation with double math .I have
been teaching for one year.I love to
help student in their study . Are you
looking for reliable person ?
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and excellent documents. You
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Hi
i am expert in mathematics. I have done my
graduation with double math .I have
been teaching for one year.I love to
help ...
Hi
i am expert in mathematics. I have done my
graduation with double math .I have
been teaching for one year.I love to
help student in their study . Are you
looking for reliable person ?
Here I'm
You will be satisfied with my work. i
teach student with sincerity and with
full responsibility.
I have to satisfied by providing original
and excellent documents. You
can depend on me and I with do my
best effort. Let me know if you have
any question.
Thank you
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This can be useful for class 8 students and you can analyse the answers with the help of this Question ...
This can be useful for class 8 students and you can analyse the answers with the help of this Question paper.
If you are interested to buy then you can plz buy.
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This notes is for class 8 and it can be useful to you.
If you need this then you can buy. ...
This notes is for class 8 and it can be useful to you.
If you need this then you can buy.
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Analysis of Riemann Integral and Taylor series and a few common results and properties
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Proof of integration of the function cos^n
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Exercises with definite and indefinite integrals
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Taylor series properties and the use of them
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Mathematics. Label Fractions with answers and explanation.
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Proofs for Taylor series, remainder term forms, and the rigorous proof for the Fundamental Theorem of Calculus
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Series convergence tests, done rigorously and through examples
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Quadratic Equations and solutions
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Trigonometric ratios of some special angles
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Lecture notes and detailed solved examples on correlation in statistics. For students who are studying statistics, mathematics and physics. (lecture ...
Lecture notes and detailed solved examples on correlation in statistics. For students who are studying statistics, mathematics and physics. (lecture notes on statistics 1)
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These are lectures notes in quantum mechanics. Especially on mathematical side of it. Best for students who have started their ...
These are lectures notes in quantum mechanics. Especially on mathematical side of it. Best for students who have started their QM course.In quantum mechanics physical parameters are represented as operators, unlike in Newtonian mechanics. Momentum operator, kinetic energy operator and position operator are few of them. So the knowledge of how to work with operators is essential. Use them as a guide to solving problems along with YOUR lecture notes.
L1 - dual vector space, orthonormal basis, linear operators, matrix elements of operators, kernal of the integral operator, commutator.
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Data Structure and Algorithms Tutorial
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Data Structure and Algorithms - Queue
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Data Structure - Sorting Techniques
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Data Structure - Doubly Linked List
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Data Mining - Knowledge Discovery
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Data Mining - Bayesian Classification
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Data Communication & Computer Network
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Application Protocols in Computer Network
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This Solved Exercises Problems will show you how to algebraically solve for the solution of equations in one variable. This ...
This Solved Exercises Problems will show you how to algebraically solve for the solution of equations in one variable. This Exercises is for MATH 114 - ALGEBRA which requires us to solved exercises that will forcely practice us to solve equations algebraically. The Graphical Method is also included by using the Application used to check that the solution is correctly answered.
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This Solved Exercises Problems will show you on how to algebraically solve for the solution of equations in one variable. ...
This Solved Exercises Problems will show you on how to algebraically solve for the solution of equations in one variable. This Exercises is for MATH 114 - ALGEBRA which requires us to solved exercises that will practice our problem solving skills to solve equations algebraically. The Graphical Method is also included by using the Application used to check that the solution is correctly answered.
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ATI TEAS 7 MATH QUESTIONS & ANSWERS////ATI TEAS 7 MATH QUESTIONS & ANSWERS
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Contains practice exercise on rational functions with solution
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The material defines rational functions and explains how to determine the domain of a rational function in a step-by-step manner. ...
The material defines rational functions and explains how to determine the domain of a rational function in a step-by-step manner.
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Chemistry 13th Edition Brown 0321910419
General Chemistry Class
Sig Figs, Units of Measurement, conversion, Dimensional Analysis
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Chemistry 13th Edition 0321910419
General Chemistry Class
Dalton's Atomic Theory, Law of Conservation of Mass, Law of multiple properties, radioactivity, isotopes, ...
Chemistry 13th Edition 0321910419
General Chemistry Class
Dalton's Atomic Theory, Law of Conservation of Mass, Law of multiple properties, radioactivity, isotopes, empirical formulas, Ions and ionic compounds, nomenclature, Angstrom, Anion, cation, oxyanion, nomenclature of binary compounds, nomenclature of organic compounds, alkanes, acids, naming
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QuickBooks online payroll certification exam prep
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in this note i write formulas of chapter 2 exercise 2.1 22.2 for 2nd year
Its help you in ...
in this note i write formulas of chapter 2 exercise 2.1 22.2 for 2nd year
Its help you in revise your course
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In this notes i write important formulas of chapter 2 of all exercise that help you to make your ...
In this notes i write important formulas of chapter 2 of all exercise that help you to make your subject easy
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Hi
In these notes I write the formula of trigonometry that is used in chapter 2 differentiation .It helps to ...
Hi
In these notes I write the formula of trigonometry that is used in chapter 2 differentiation .It helps to make your chapter easy to understand.
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Introducerea in studiul multimilor naturale
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This goes through the definitions, understanding, methods and calculations of prestressed concrete involved in civil and structural engineering
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Basically a program of palindrome numbers, Armstrong numbers, and factorial, swap two numbers.
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Basically a program of palindrome numbers, Armstrong numbers, and factorial, swap two numbers.
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Lab01 Preparing the domain Controller
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This is a summary of the first appendix of first-year calculus
we take a look at what a mathematical set is, ...
This is a summary of the first appendix of first-year calculus
we take a look at what a mathematical set is, and how we can combines two sets
we also look at inequalities, their rules and how to solve them
the topic of absolute values is also covered as we look at how to solve equations including absolute values and the different rules we can follow
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If you want to hone your Mathematics Problem solving skills then British Math Olympiad Questions will be perfect for practicing.
British ...
If you want to hone your Mathematics Problem solving skills then British Math Olympiad Questions will be perfect for practicing.
British math olympiad, British mathematical olympiad, British olympiad maths, British maths olympiad, maths olympiad, British mathematical olympiad round 1, math olympiad problems, olympiad mathematics, British mathematical olympiad round 2 solutions, math olympiad questions, math olympiad, math olympiad problems with solutions, olympiad mathematics questions, and answers, British mathematics, olympiad, British mathematical olympiad round 2, math olympiad preparation
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Solving Linear Inequalities and Compound Inequalities
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This note will show you on how to solve the sinusoidal function application in real life such as ferris wheel ...
This note will show you on how to solve the sinusoidal function application in real life such as ferris wheel .
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Introduction to Jacobian Matrices and solved problems regarding them.
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Introduction to Jacobians and problems for practice on it.
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integers includes positive zero and negative numbers. so there are rules to solve integers addition, subtraction, multiplication and division.
rules are ...
integers includes positive zero and negative numbers. so there are rules to solve integers addition, subtraction, multiplication and division.
rules are explained with examples.
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learn all types of numbers with venn diagram and tree diagram and examples. natural numbers, whole numbers, integers, fraction, rational ...
learn all types of numbers with venn diagram and tree diagram and examples. natural numbers, whole numbers, integers, fraction, rational numbers, irrational numbers real numbers.
also even, odd, prime, composite, co-prime,twin prime,triangular and square numbers.
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Introduction to Probability by Professors of Electrical Engineering and Computer Science,
Massachusetts Institute of Technology
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Explaining differential equations through the use of some examples.
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Discussing the concept of homogeneous ODEs and understanding them with some examples.
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Discussing the equations that can be reduced to homogeneous forms and trying to understand them with some examples.
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This is an amazing guide for anyone who wants to excel in this topic! Trusted by thousands of students, these ...
This is an amazing guide for anyone who wants to excel in this topic! Trusted by thousands of students, these notes allow you to sit back and enjoy your school year!
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This is an amazing guide for anyone who wants to excel in this topic! Trusted by thousands of students, these ...
This is an amazing guide for anyone who wants to excel in this topic! Trusted by thousands of students, these notes allow you to sit back and enjoy your school year!
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This is an amazing guide for anyone who wants to excel in this topic! Trusted by thousands of students, these ...
This is an amazing guide for anyone who wants to excel in this topic! Trusted by thousands of students, these notes allow you to sit back and enjoy your school year!
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This is an amazing guide for anyone who wants to excel in this topic! Trusted by thousands of students, these ...
This is an amazing guide for anyone who wants to excel in this topic! Trusted by thousands of students, these notes allow you to sit back and enjoy your school year!
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This is a good book.It is a good approach to English language. This helps students to clear doubts.
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COMMUNICATION SKILLS IS A GOOD BOOK. IT HELPS STUDENTS TO C.EARLIER DOUBTS.THIS IS A GOOD APPROACH TO ENGLISH ...
COMMUNICATION SKILLS IS A GOOD BOOK. IT HELPS STUDENTS TO C.EARLIER DOUBTS.THIS IS A GOOD APPROACH TO ENGLISH LANGUAGE.
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Blood Relations Practice sets for CA Foundation students with answer. This Pdf contains 30 question with answer of Blood Relation ...
Blood Relations Practice sets for CA Foundation students with answer. This Pdf contains 30 question with answer of Blood Relation chapter. Paper 3 of CA Foundation for may 23 & onwards
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Practice sets for CA Foundation students who are preparing for May 23 & onwards. Top 30 question of the Chapter ...
Practice sets for CA Foundation students who are preparing for May 23 & onwards. Top 30 question of the Chapter is given in this pdf with answer.
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Free Practice Sets for CA Foundation Students with answer. Direction Test top 30 questions. Join Telegram Channel :- https://t.me/+jsR4t5AcbD5jZjNl Join ...
Free Practice Sets for CA Foundation Students with answer. Direction Test top 30 questions. Join Telegram Channel :- https://t.me/+jsR4t5AcbD5jZjNl Join Telegram Group :- https://t.me/+1tTMiyPzzl9hM2Nl
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Practice Sets for CA Foundation Students with answer. Index Number. Top 30 questions with answer. Solve it to boost your ...
Practice Sets for CA Foundation Students with answer. Index Number. Top 30 questions with answer. Solve it to boost your confidence. Applicable for May 2 023 & onwards.
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Practice Sets for CA Foundation Students with answer. Equation Test. Top 30 questions with answer. Solve it to boost your ...
Practice Sets for CA Foundation Students with answer. Equation Test. Top 30 questions with answer. Solve it to boost your confidence. Applicable for May 2023 & onwards.
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It covers the basics of the functions of several variables
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CA FOUNDATION LEVEL STUDENT
CALCULATOR TRICKS FOR MATHS STATISTICS AND LOGICAL REASONING
WITH THE HELP OF THESE EASY CALCULATOR ...
CA FOUNDATION LEVEL STUDENT
CALCULATOR TRICKS FOR MATHS STATISTICS AND LOGICAL REASONING
WITH THE HELP OF THESE EASY CALCULATOR TRICKS YOU WILL SCORE VERY GOOD MARKS IN EXAMS
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Simultaneous equations are a set of equations that contain multiple variables and are solved simultaneously. These types of equations are ...
Simultaneous equations are a set of equations that contain multiple variables and are solved simultaneously. These types of equations are used to model real-world situations where more than one unknown is present. we will explore each of these methods in more details and learn how to apply them to solve simultaneous equations. We will also discuss the use of matrices and determinants in solving simultaneous equations and introduce the concept of systems of linear equations. By the end of this guide, you should have a solid understanding of simultaneous equations and be able to confidently solve them using a variety of methods.
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Simultaneous equations are a set of equations that contain multiple variables and are solved simultaneously. These types of equations are ...
Simultaneous equations are a set of equations that contain multiple variables and are solved simultaneously. These types of equations are used to model real-world situations where more than one unknown is present. we will explore each of these methods in more detail and learn how to apply them to solve simultaneous equations. We will also discuss the use of matrices and determinants in solving simultaneous equations and introduce the concept of systems of linear equations. By the end of this guide, you should have a solid understanding of simultaneous equations and be able to confidently solve them using a variety of methods.
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Some exercises to better understand thermodynamics
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C+ programming for computational technique assigent
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12th class mathematics chapter matrices and determinants.
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CBSE class 12th mathematics question bank.
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Accounting Study Guide that has all u need for your first year practice materials
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Get ready to excel in college-level mathematics with this comprehensive exam study guide. It features 40 challenging questions covering key ...
Get ready to excel in college-level mathematics with this comprehensive exam study guide. It features 40 challenging questions covering key concepts in mathematics, with detailed explanations and solutions to help you understand the reasoning behind each answer. This study guide is designed to help you improve your problem-solving skills, boost your exam-taking confidence, and achieve a high score on your college math exam. Whether you're a student, a tutor, or a teacher, this guide is an essential resource for mastering college-level math.
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Unlock the full potential of your data and revolutionize your field with the power of Linear Algebra. From data analysis ...
Unlock the full potential of your data and revolutionize your field with the power of Linear Algebra. From data analysis and machine learning to physics, engineering, and computer science, this guide will teach you the essential techniques and applications of Linear Algebra that will take your understanding of complex systems to the next level.
Linear Algebra is a powerful branch of mathematics that deals with vectors, matrices, and linear transformations. With its wide range of applications in fields such as data analysis, machine learning, physics, engineering, and computer science, understanding linear algebra can unlock the power of solving many problems.
This comprehensive guide covers key concepts such as eigenvalues and eigenvectors, determinants, matrix factorization, inner product spaces, orthogonality, and projections, as well as advanced topics like kernel and image, quadratic forms, tensors, canonical forms, differential equations, Lie algebras, and graph theory.
It also includes practical examples and exercises to help readers develop their skills in using linear algebra techniques and apply them to real-world problems.
Whether a student, researcher or professional, this guide will provide you with the knowledge and tools you need to master linear algebra and its many applications.
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Get ready to excel in college-level mathematics with this comprehensive exam study guide. It features 40 challenging questions covering key ...
Get ready to excel in college-level mathematics with this comprehensive exam study guide. It features 40 challenging questions covering key concepts in mathematics, with detailed explanations and solutions to help you understand the reasoning behind each answer. This study guide is designed to help you improve your problem-solving skills, boost your exam-taking confidence, and achieve a high score on your college math exam. Whether you're a student, a tutor, or a teacher, this guide is an essential resource for mastering college-level math.
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An Introduction to Integral Techniques and Applications" is a topic that covers the fundamental concepts and methods of integral calculus. ...
An Introduction to Integral Techniques and Applications" is a topic that covers the fundamental concepts and methods of integral calculus. It provides a comprehensive introduction to the basic techniques of integration, including substitution, integration by parts, and partial fractions. The course also covers the applications of integration in solving problems from various fields such as physics, engineering, economics, and other natural sciences.
The topic includes the introduction of the definite and indefinite integrals, and its properties. It also covers the various techniques for evaluating definite integrals, such as substitution, integration by parts, and trigonometric substitution. The course will also provide an introduction to multivariable integration and its applications in different fields.
Furthermore, this topic will also cover the use of integrals to solve problems in physics and engineering, including the area under a curve, the volume of a solid of revolution, and the length of a curve. The course will also introduce the use of integrals to model real-world phenomena in economics, such as the cost of production and the marginal revenue product.
Overall, the course aims to provide students with a solid foundation in integral calculus and its applications, preparing them for further studies in mathematics, physics, engineering, and other related fields.
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Business statistics is a branch of statistics that deals with the application of statistical methods to various business-related fields such ...
Business statistics is a branch of statistics that deals with the application of statistical methods to various business-related fields such as economics, finance, and management. It is an interdisciplinary field that combines statistical theory and methods with knowledge of business and economics to help organizations make data-driven decisions. Business statistics is often taught as part of a business or management degree program, but it can also be studied as part of a statistics or mathematics program. Some of the topics that are typically covered in a business statistics course include descriptive statistics, probability theory, hypothesis testing, regression analysis, and time series analysis.
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Discrete objects can often be enumerated by integers; more formally, discrete mathematics has been characterized as the branch of mathematics ...
Discrete objects can often be enumerated by integers; more formally, discrete mathematics has been characterized as the branch of mathematics dealing with countable sets (finite sets or sets with the same cardinality as the natural numbers).
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Algebra is a branch of mathematics that deals with mathematical symbols and the rules for manipulating these symbols. It is ...
Algebra is a branch of mathematics that deals with mathematical symbols and the rules for manipulating these symbols. It is a unifying thread of almost all areas of mathematics and is used in many scientific and engineering fields.
At its core, algebra is the study of mathematical equations and the operations that can be performed on them. The most basic operations in algebra include addition, subtraction, multiplication, and division. The equations that are studied in algebra can involve variables (such as x or y), which represent unknown values that can take on different numerical values. Algebraic equations can also include constants, which are fixed numerical values.
One of the main goals of algebra is to find the values of the variables that make the equation true. This is known as solving an equation. Algebra also deals with different types of equations such as linear, quadratic, polynomial, exponential, and logarithmic functions.
Another aspect of algebra is the study of algebraic structures, such as groups, rings, and fields. These structures consist of a set of elements, together with operations defined on them, such as addition and multiplication. The study of these structures provides a more abstract and general way to understand the properties of algebraic equations.
Algebra is a fundamental tool in many fields such as physics, engineering, computer science, and economics. It is also a prerequisite for many advanced mathematics courses such as calculus and abstract algebra.
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An integral in mathematics is either a numerical value equal to the area under the graph of a function for ...
An integral in mathematics is either a numerical value equal to the area under the graph of a function for some interval or a new function, the derivative of which is the original function (indefinite integral).
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An integral in mathematics is either a numerical value equal to the area under the graph of a function for ...
An integral in mathematics is either a numerical value equal to the area under the graph of a function for some interval or a new function, the derivative of which is the original function (indefinite integral).
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"Unlock your mathematical potential with our comprehensive Applied Mathematics Practice Quiz, featuring challenging questions and detailed explanations for each solution." ...
"Unlock your mathematical potential with our comprehensive Applied Mathematics Practice Quiz, featuring challenging questions and detailed explanations for each solution."
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Calculus is a branch of mathematics that deals with the study of rates of change and accumulation of quantities. It ...
Calculus is a branch of mathematics that deals with the study of rates of change and accumulation of quantities. It is divided into two main branches: differential calculus and integral calculus.Differential calculus is the study of the rate at which a function changes as its input changes. It involves the concept of derivatives, which describe how a function changes at a specific point. This branch of calculus is used to study motion, optimization, and other problems involving small changes.
Integral calculus, on the other hand, is the study of the accumulation of quantities, and it involves the concept of integrals, which represent the total change in a function over a certain interval. This branch of calculus is used to calculate the total change in a function, such as distance traveled or total area under a curve.
Calculus has many practical applications in fields such as physics, engineering, economics, and science. It is also used in solving optimization problems, such as finding the minimum or maximum value of a function.
The fundamental theorem of calculus relates the two branches of calculus: it states that differentiation and integration are inverse operations, meaning that if we know the derivative of a function, we can find its integral and vice versa. This theorem enables solving some problems that would be otherwise unsolvable.
Calculus requires a good understanding of algebra and geometry, and it is a challenging subject that requires a significant amount of practice and problem-solving. It is usually taught at the college level, but some high schools also offer calculus courses.
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"Master the basics of arithmetic with our thoughtfully curated Arithmetic Practice Quiz, designed to sharpen your skills and boost your ...
"Master the basics of arithmetic with our thoughtfully curated Arithmetic Practice Quiz, designed to sharpen your skills and boost your math confidence."
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"Take the next step in your mathematical journey with our rigorous Calculus Practice Quiz, featuring a wide range of problems ...
"Take the next step in your mathematical journey with our rigorous Calculus Practice Quiz, featuring a wide range of problems to test and deepen your understanding of calculus."
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"Master the basics of Cryptography with our thoughtfully curated Cryptography Practice Quiz, designed to sharpen your skills and boost ...
"Master the basics of Cryptography with our thoughtfully curated Cryptography Practice Quiz, designed to sharpen your skills and boost your Crypto knowledge."
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"Master the basics of Differential Equations with our thoughtfully curated Differential Equations Practice Quiz, designed to sharpen your skills and ...
"Master the basics of Differential Equations with our thoughtfully curated Differential Equations Practice Quiz, designed to sharpen your skills and boost your math confidence."
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"Master the basics of Discreet Math with our thoughtfully curated Discreet MathPractice Quiz, designed to sharpen your skills and boost your math confidence."
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"Master the basics of Elementary Algebra with our thoughtfully curated Elementary Algebra Practice Quiz, designed to sharpen your skills and ...
"Master the basics of Elementary Algebra with our thoughtfully curated Elementary Algebra Practice Quiz, designed to sharpen your skills and boost your math confidence."
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"Master the basics of Geometry with our thoughtfully curated Geometry Practice Quiz, designed to sharpen your skills and boost your ...
"Master the basics of Geometry with our thoughtfully curated Geometry Practice Quiz, designed to sharpen your skills and boost your math confidence."
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Algebra is a branch of mathematics in which letters and symbols are used to represent numbers and quantities in equations ...
Algebra is a branch of mathematics in which letters and symbols are used to represent numbers and quantities in equations and formulas. It is used to solve problems involving operations such as addition, subtraction, multiplication, and division, as well as to study the properties and relationships of numbers and variables. Algebraic concepts and techniques are widely used in fields such as physics, engineering, and computer science.
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Finding the area under a curve: Integrals can be used to calculate the area between a curve and the x-axis. ...
Finding the area under a curve: Integrals can be used to calculate the area between a curve and the x-axis. This can be useful in physics when calculating the displacement of an object over a given period of time.
Solving differential equations: Integrals can be used to solve many types of differential equations, which are used to describe how a system changes over time in fields such as physics and engineering.
Modeling physical phenomena: Integrals can be used to model physical phenomena such as the flow of fluids and the distribution of heat or electric charge.
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Differential equations: Integrals are used to solve differential equations, which are used in physics, engineering, and many other fields.
In physics, ...
Differential equations: Integrals are used to solve differential equations, which are used in physics, engineering, and many other fields.
In physics, it is used to calculate the total distance traveled by a particle in motion and the total charge enclosed in an electric field.
In Engineering, it is used to calculate the total amount of fluid that has flowed through a pipe and the total amount of heat transferred in a system.
In Economics, it is used to calculate the total cost or revenue of a production process.
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Discrete mathematics is a branch of mathematics that deals with objects that can assume only distinct, separated values, rather than ...
Discrete mathematics is a branch of mathematics that deals with objects that can assume only distinct, separated values, rather than continuous values. It is used in a wide range of fields, including computer science, operations research, network theory, combinatorics, logic and set theory, cryptography, game theory, data science and artificial intelligence to study and solve problems in these fields. It plays an important role in the design and analysis of algorithms, data structures, and cryptographic systems. Discrete mathematics also provides the mathematical foundation for many other branches of science, engineering and technology.
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Complete Study Guide for Algebra
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Statistics is the branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It encompasses ...
Statistics is the branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It encompasses a wide range of techniques and methods for describing, summarizing, and making inferences from data. This includes probability theory, statistical inference, statistical models, hypothesis testing, and statistical analysis. Statistics is used in many fields such as business, economics, social sciences, biology, medicine, engineering, and computer science to make decisions and predictions based on data.
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Integrals are a fundamental concept in calculus and have a wide range of uses in mathematics, science, and engineering
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SAMPLE PAPERS FOR STD X ICSE ENGLISH PREPARATION FOR BOARDS
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Algebra Formulae Short Tricks Math lean
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In mathematical and everyday English language, we frequently use logic to express our thoughts verbally
and in writing. We also ...
In mathematical and everyday English language, we frequently use logic to express our thoughts verbally
and in writing. We also use logic in numerous other areas such as computer coding, probability, set
theory, etc. Connecting words such as “or” and “and” and phrases such as “if, then” and “if and only if”
are very common in mathematical definitions, theorems, etc. These topics will be discussed in the
following notes.
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it contains the basic and in detailed idea about each topic and a lot of solved exercises.
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A brief detail about Monte-Carlo Simulation with a few Examples.
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This notes contains all the introduction for the multivariable calculus with the exercises, examples.
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This is the continuation for the Multi Variable Calculus UNIT-I-NOTES-01
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This is the unit 2 of the M3 in engineering. It contains all the information about introduction about:
ORDINARY DIFFERENTIAL EQUATONS ...
This is the unit 2 of the M3 in engineering. It contains all the information about introduction about:
ORDINARY DIFFERENTIAL EQUATONS
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this is the continuation for the ORDINARY DIFFERENTIAL EQUATONS UNIT_II_NOTES-01
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The elimination of arbitrary constants is a common problem in mathematics and physics. It refers to the process of removing ...
The elimination of arbitrary constants is a common problem in mathematics and physics. It refers to the process of removing any unknown constants that may appear in equations or expressions.
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The book Partial Differential Equations from the author Walter A. Strauss is a good book to self-study partial differential equations. ...
The book Partial Differential Equations from the author Walter A. Strauss is a good book to self-study partial differential equations. It contains many problems to practice with. To learn efficiently mathematics it is necessary to get feedback from the solved problems. This document provides the problems and their solutions, writen with an educational twist, for the section: 1.1 What is a Partial Differential Equation.
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Financial statement analysis is crucial for investors,
creditors, and other stakeholders in evaluating a
company's financial health and performance. It ...
Financial statement analysis is crucial for investors,
creditors, and other stakeholders in evaluating a
company's financial health and performance. It involves
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the company's liquidity, solvency, profitability, and
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In a democratic society, public policy decisions are meant
to reflect the interests and values of the people. However,
in ...
In a democratic society, public policy decisions are meant
to reflect the interests and values of the people. However,
in practice, certain groups may have more influence over
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defined as organized associations of individuals with
shared goals and preferences, are one such group that
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In political science, the study of interest groups and their
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understand better the role of interest groups in the
policy-making process and their effects on public policy
outcomes. This chapter will explore the impact of interest
groups on public policy in greater detail, examining their
influence on policy decisions and the implications of this
influence on democratic governance
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This is notes for 2nd and 1st year students. Other can also buy if they want.
Algebraic integration involves finding antiderivatives ...
This is notes for 2nd and 1st year students. Other can also buy if they want.
Algebraic integration involves finding antiderivatives of functions and is an important concept in mathematics. This article explores algebraic integration techniques such as integration by substitution, integration by parts, partial fractions, and trigonometric substitution in depth. Integration by substitution involves changing the variable of integration by making a substitution of the form u = g(x). Integration by parts is used to find the antiderivative of the product of two functions, while partial fractions decompose a rational function into simpler fractions. Trigonometric substitution simplifies the integration of certain types of functions that involve trigonometric functions by using trigonometric identities. These techniques are useful for simplifying integrals and solving problems in various areas of mathematics.
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These notes provide complete detail introduction to Python
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Complete Trigonometry by MUKESH Sir (RS Sir)
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THIS DOCUMENT CONTAINS VARIOUS METHODS, TRICKS, AND SOLVED EXAMPLES THAT FORM THE NUMBER SYSTEM AS PART OF QUANTITATIVE APTITUDE IN ...
THIS DOCUMENT CONTAINS VARIOUS METHODS, TRICKS, AND SOLVED EXAMPLES THAT FORM THE NUMBER SYSTEM AS PART OF QUANTITATIVE APTITUDE IN MANY EXAMS. IT CONTAINS ILLUSTRATIVE DIAGRAMS TO HELP EXPLAIN THE CONCEPTS MORE ACCURATELY
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Map of mathematics in domain of science
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So data structures and
algorithms are things that help us in our work or in our projects or in our courses ...
So data structures and
algorithms are things that help us in our work or in our projects or in our courses or in our future
projects or in our work or in our projects that we are doing right now so if you want to use
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in your future work or in your projects that you are doing right nowwater in a pot and you put the
tea bag in the cup and you make the coffee Now what is the difference between data structures.
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This concise document includes all the essential formulas and concepts covered in engineering mathematics. From calculus and differential equations to ...
This concise document includes all the essential formulas and concepts covered in engineering mathematics. From calculus and differential equations to linear algebra and complex analysis, this document covers it all. The well-organized format and clear explanations make it easy to review and reference for exams or coursework. Additionally, helpful tips and examples are provided to aid in understanding and application of the formulas. Overall, this document is a valuable resource for any student of engineering mathematics and competitive examinations.
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This pdf is based upon DSA notes which will help you to solve data scientist and algorithms
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Traversal
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Declaration,
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Mensuration math 3d is very important question and important lesson in my exam related.
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Arrays in Data Structure | Declaration, Initialization, Memory representation
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These notes are intended to be a summary of the main the main ideas in course MATH 214-2:Integral Calculus. ...
These notes are intended to be a summary of the main the main ideas in course MATH 214-2:Integral Calculus. I may keep working on this.
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Simple Summary Notes WITH Examples to aid you during your last minute revisions for your exams!!!
This summarises Algebra content for ...
Simple Summary Notes WITH Examples to aid you during your last minute revisions for your exams!!!
This summarises Algebra content for easier understanding from Pure Mathematics 3. Detailing Modulus, Polynomials (Remainder and Factor Theorem), Solving Cubic Equations, Partial Fractions and Binomial Expansions.
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Mathematics Test with Answers that you can try solving to see how well you understand your studies and you can ...
Mathematics Test with Answers that you can try solving to see how well you understand your studies and you can crosscheck with the answer sheet on the back after you finish!!
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Simple Summary Notes WITH Examples to aid you during your last minute revisions for your exams!!! This summarises Differentiation II ...
Simple Summary Notes WITH Examples to aid you during your last minute revisions for your exams!!! This summarises Differentiation II content for easier un derstanding from Pure Mathematics 3. Detailing how to Differentiate a Product, Quotient, Exponential Function, Logarithmic Function and Trigonometric Function. Includes Product Rule, Quotient Rule and Chain Rule.
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COMPOUND ANGLES SUMMARY NOTES EQUIPPED WITH COMPLETE EXAMPLE ANSWERS
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DOUBLE ANGLES SUMMARY NOTES EQUIPPED WITH EXAMPLE ANSWERS!!
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HARMONIC FORM MATHEMATICS A LEVEL SUMMARY NOTES WITH EXAMPLES THAT YOU CAN USE TO AID YOU DURING YOUR LAST MINUTE ...
HARMONIC FORM MATHEMATICS A LEVEL SUMMARY NOTES WITH EXAMPLES THAT YOU CAN USE TO AID YOU DURING YOUR LAST MINUTE REVISIONS!!
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MECHANICS PAST YEAR QUESTION PAPER COMPLETE WITH FULL WORKINGS THAT YOU CAN USE TO FURTHER UNDERSTAND HOW TO ANSWER YOUR ...
MECHANICS PAST YEAR QUESTION PAPER COMPLETE WITH FULL WORKINGS THAT YOU CAN USE TO FURTHER UNDERSTAND HOW TO ANSWER YOUR MECHANICS A LEVEL EXAMS!!
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MECHANICS PAST YEAR QUESTION PAPER COMPLETE WITH FULL WORKINGS THAT YOU CAN USE TO FURTHER UNDERSTAND HOW TO ANSWER YOUR ...
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This is math probility questions and important lesson in our math subject.
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This summarises Differential Equations content for easier understanding from Pure Mathematics 3. Detailing the idea of Differential Equations, Solving First ...
This summarises Differential Equations content for easier understanding from Pure Mathematics 3. Detailing the idea of Differential Equations, Solving First Order Differential Equations, Modelling with Differential Equations, and Application to Exponential Laws of Growth and Decay.
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This summarises Differential Equations content for easier understanding from Pure Mathematics 3. Detailing the idea of Differential Equations, Solving First ...
This summarises Differential Equations content for easier understanding from Pure Mathematics 3. Detailing the idea of Differential Equations, Solving First Order Differential Equations, Modelling with Differential Equations, and Application to Exponential Laws of Growth and Decay.
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This summarises Normal Distribution content for easier understanding from Probability and Statistics. Detailing the idea of Normal Distribution, Normal Curve, ...
This summarises Normal Distribution content for easier understanding from Probability and Statistics. Detailing the idea of Normal Distribution, Normal Curve, Finding Probabilities, Standard Normal Variable, Standard Normal Tables, Normal Approximation to Binomial Distribution, and Continuity Correction
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Probability and Statistics A Level Past Year Paper with Answers that details how to solve the question with complete workings. ...
Probability and Statistics A Level Past Year Paper with Answers that details how to solve the question with complete workings.
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A basic introduction on Java, starting from Flowcharting to OPP
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This Document contains basic information about Java, starting from flowcharting to OPP
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These notes cover the basics for Derivatives for those struggling with the Calc 1 course material
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Data Structures like arrays, stack, linked list etc is something you must have heard of but why algorithms and data ...
Data Structures like arrays, stack, linked list etc is something you must have heard of but why algorithms and data structures like these are important? Well this notes answers this question.
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Life processes are the basic functions performed by a living organism an individual
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The center of mass is a point that represents the average position of all the particles in a system. In ...
The center of mass is a point that represents the average position of all the particles in a system. In physics, it is a crucial concept used to simplify the analysis of the motion of objects. By treating an object as if all its mass were located at a single point, we can analyze its motion using equations of motion for a single particle.
In Class 11 JEE, students would likely learn about the center of mass of different objects, such as rigid bodies, and how to calculate its position using mathematical formulas. They may also study how the center of mass changes as the object moves or rotates, and how it is related to other physical quantities such as momentum and torque.
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THIS NOTE SHOWS YOU THE CHANGES IN IIT 2023
IT GIVES ACCESS TO PREVIOUS YEARS QUESTION PAPERS THAT YOU CAN ...
THIS NOTE SHOWS YOU THE CHANGES IN IIT 2023
IT GIVES ACCESS TO PREVIOUS YEARS QUESTION PAPERS THAT YOU CAN PRACTICE AND EXCELL IN THE EXAMS
IT ALSO MOTIVATES YOU!! BEST OF LUCK BUY IT AND A TRY
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This book has been written for the use of the students of degree and Honours classes of Indian universities and ...
This book has been written for the use of the students of degree and Honours classes of Indian universities and international universities
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Here are the notes on engineering thermodynamics you requested:
Introduction:
- Brief history of thermodynamics
- Importance of thermodynamics in engineering
Basic Concepts:
- Definition ...
Here are the notes on engineering thermodynamics you requested:
Introduction:
- Brief history of thermodynamics
- Importance of thermodynamics in engineering
Basic Concepts:
- Definition of thermodynamics
- Laws of thermodynamics
- State postulate
Properties of Pure Substances:
- Definition of pure substances
- P-v-T behaviour of pure substances
- Compressibility and expansibility
First Law of Thermodynamics:
- Mathematical statement
- Enthalpy
- Work and heat transfer
Second Law of Thermodynamics:
- Mathematical statement
- Carnot cycle
- Entropy
Applications:
- Gas power cycles
- Refrigeration cycles
- Steam power plants
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This book is a comprehensive guide to understanding and implementing data structures and algorithms in trees, covering all aspects of ...
This book is a comprehensive guide to understanding and implementing data structures and algorithms in trees, covering all aspects of tree-based programming with practical examples and real-world applications.
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Probability and statistics are fundamental components of any data science course. Probability refers to the likelihood of an event occurring, ...
Probability and statistics are fundamental components of any data science course. Probability refers to the likelihood of an event occurring, and statistics involves the analysis of data to draw inferences or make predictions. In data science, probability is used to model uncertainty and randomness in data, allowing for more accurate predictions and decision-making. This includes understanding the probability distribution of data, estimating parameters of the distribution, and using probability to make predictions.
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These are my self made notes and I had done pretty much work on this to make easy for students. ...
These are my self made notes and I had done pretty much work on this to make easy for students.
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In this Pdf file you will find all the English tenses simplified.
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Trigonometry in easy way in all type of students
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Summary of notes of all hyperbolic functions to solve problems effectively. Aimed for Calculus 2 students.
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There are several different ways to solve integration and these notes are simplified and effective in guiding to help solve ...
There are several different ways to solve integration and these notes are simplified and effective in guiding to help solve an integral problem. Aimed for calculus 2 students.
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Aimed for Calculus 2 students. Gives a short summary of integration by part and definite integrals
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8.5 Obj 1, 3 Solutions
LECTURE NOTES
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This class note contains problems and solutions on derivatives using the increment method. Calculus derivatives learned in college around 1st ...
This class note contains problems and solutions on derivatives using the increment method. Calculus derivatives learned in college around 1st or 2nd-year level.
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In the simplest way, this short note shows why the law of lever works. And in addition, discuss the centroid ...
In the simplest way, this short note shows why the law of lever works. And in addition, discuss the centroid of a triangle.
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It,s about pythagoras theorem in simple and essay words that can be understood very easily
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In the simplest way, this short note shows why the law of lever works. And in addition, discuss the centroid ...
In the simplest way, this short note shows why the law of lever works. And in addition, discuss the centroid of a triangle.
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The document contains practice questions on trigonometry for high school student.
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The document contains easy trigonometry questions for a high school student
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Learn some rules of thumb for multiplying positive and negative numbers.foundation for all higher mathematics is laid with many of ...
Learn some rules of thumb for multiplying positive and negative numbers.foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here:
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General Physics notes for IGCSE or OLevel students.
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it includes all the important topics of information technology
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Class 9th notes of maths
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This notes gives an overview of Algebra and introduces the concepts of unknown values and variables. It also explains that ...
This notes gives an overview of Algebra and introduces the concepts of unknown values and variables. It also explains that multiplication is implicit in Algebra.
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It will help you to know basic knowledge of algorithm
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It will help you to know the basic knowledge of algorithm.
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The document consists of Python programming problems and exercises as well as the detailed solution and explanation for each practice ...
The document consists of Python programming problems and exercises as well as the detailed solution and explanation for each practice question.
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The document consists of Python programming problems and exercises as well as the detailed solution and explanation for each practice ...
The document consists of Python programming problems and exercises as well as the detailed solution and explanation for each practice question.
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The document consists of Python programming problems and exercises as well as the detailed solution and explanation for each practice ...
The document consists of Python programming problems and exercises as well as the detailed solution and explanation for each practice question.
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It will help you to know the basic knowledge of algorithm.
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Basic and simple notes easy to understand
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ASG
Analytical solid geometry
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Short notes of Inverse Trigonometric Functions.
All concepts and formulae are covered in just two pages.
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Short notes on Inverse Trigonometric Function.
All important concepts and formulae are covered in just two pages.
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Short Notes on Trigonometric Function.
All important concepts and formulae are covered in just two pages.
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In this 10-page note I solved 42 rich exercises in the topic of Complex Numbers in details which every Science ...
In this 10-page note I solved 42 rich exercises in the topic of Complex Numbers in details which every Science and Engineering student should know. I tested them many times in the class. Good Luck
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Absolute value is a mathematical function that returns the distance of a number from zero on a number line. In ...
Absolute value is a mathematical function that returns the distance of a number from zero on a number line. In algebra, we use absolute value equations and inequalities to solve problems where we need to find the value(s) of a variable that satisfy a given condition involving absolute value.
An absolute value equation involves an absolute value expression set equal to a constant or another expression. To solve an absolute value equation, we need to consider two cases: one where the expression inside the absolute value is positive, and one where it's negative. We solve each case separately and then combine the solutions.
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Matrices are rectangular arrays of numbers or symbols arranged in rows and columns. They are used to represent linear equations, ...
Matrices are rectangular arrays of numbers or symbols arranged in rows and columns. They are used to represent linear equations, transformations, and many other mathematical concepts. Matrices can be added, subtracted, and multiplied by other matrices using specific rules. The transpose of a matrix is obtained by interchanging its rows and columns.
Determinants are scalar values associated with square matrices. They are used to determine whether a matrix has an inverse, and to compute the inverse if it exists. Determinants can be computed using various methods, such as cofactor expansion, row or column operations, or using properties of determinants. They are also used in solving systems of linear equations, finding areas and volumes, and in other applications.
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An algebraic function is a function that can be expressed using algebraic operations (such as addition, subtraction, multiplication, division, and ...
An algebraic function is a function that can be expressed using algebraic operations (such as addition, subtraction, multiplication, division, and taking roots) applied to one or more variables. Algebraic functions can be represented using equations of the form y = f(x), where f(x) is a formula that describes how the output (y) depends on the input (x).
The graph of an algebraic function is a visual representation of its behavior, showing how the output (y) changes as the input (x) varies. The graph of an algebraic function can be plotted on a coordinate plane, with the horizontal axis representing the input (x) and the vertical axis representing the output (y).
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Algebraic number theory is a branch of mathematics that studies the properties of algebraic numbers, which are complex numbers that ...
Algebraic number theory is a branch of mathematics that studies the properties of algebraic numbers, which are complex numbers that are roots of polynomials with integer coefficients. Algebraic numbers include rational numbers, irrational numbers such as square roots, cube roots, and other radicals, and complex numbers that are algebraic extensions of the rationals.
Algebraic number theory studies the algebraic properties of these numbers, such as their algebraic degree, which is the degree of the polynomial that they satisfy, and their algebraic conjugates, which are the other roots of the polynomial.
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This pdf contains basic of data science and usefulness of statistics in data science
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A brief notes on introduction to computers , characteritics of computer ,types of computer and computer viruses
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C'est un petit résumé sur les nombres complexes
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C'est un résumé sur les integrales simple, double ou triple
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Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general ...
Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics.
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Maths Q&A notes for secondary school would typically include various mathematical concepts and their applications in real-life scenarios. The notes ...
Maths Q&A notes for secondary school would typically include various mathematical concepts and their applications in real-life scenarios. The notes would cover a wide range of topics, including algebra, geometry, trigonometry, probability, statistics, and calculus.
The notes would likely begin with the basics of mathematics, such as arithmetic operations, fractions, decimals, and percentages. It would then progress to more advanced topics, such as solving equations, graphing functions, and working with matrices.
The notes would also include examples and practice problems to help students understand the concepts better. Additionally, the notes might provide tips and tricks for solving certain types of problems or using specific formulas.
Overall, the Maths Q&A notes for secondary school would serve as a comprehensive guide for students to excel in their math courses and prepare them for further studies in the field.
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More of a report on an experiment conducted to test the hardness of metal surfaces
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Probability theory is a branch of mathematics that deals with the analysis of random phenomena. It has applications in various ...
Probability theory is a branch of mathematics that deals with the analysis of random phenomena. It has applications in various fields, including statistics, economics, finance, physics, biology, and engineering. By using probability, we can make informed decisions and predictions based on uncertain or incomplete information.
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A statistical distribution is a mathematical function that describes the probabilities of all possible outcomes of a random variable. The ...
A statistical distribution is a mathematical function that describes the probabilities of all possible outcomes of a random variable. The type of distribution used to model a particular set of data depends on the nature of the data and the research question being addressed.
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Important and quick trignometric formuale
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All trigonometry formulas for class XI are in this pdf... It'll make easy revision for students.
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this PDF are very useful for students to know about phyton this PDF includes introduction and meaning of phyton
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this class note covers all the important aspects of the topic. prepared such that every level of student can understand ...
this class note covers all the important aspects of the topic. prepared such that every level of student can understand and memorize the topic.
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THIS CLASS NOTE IS SUCH SCIENTIFICALLY PREPARED THAT ANY LEVEL OF STUDENT CAN UNDERSTAND THE TOPIC ONCE GOING THROUGH THE ...
THIS CLASS NOTE IS SUCH SCIENTIFICALLY PREPARED THAT ANY LEVEL OF STUDENT CAN UNDERSTAND THE TOPIC ONCE GOING THROUGH THE NOTE. THIS NOTE DESCRIBES MONOMIALS, BINOMIALS, COEFFICIENTS, EXPONENTS OF A POLYNOMIAL, AND MANY MORE. THIS SHORT NOTE CAN BE EASILY READ AND UNDERSTOOD AND CAN BE TAKEN AS LAST MINUTE EXAM PREPARATORY NOTE.
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This class note is scientifically prepared so that any level of student can easily understand the topic and memorize it. ...
This class note is scientifically prepared so that any level of student can easily understand the topic and memorize it.
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hello dear friends, another class note from me! #LinearEquationInTwoVariables" from #highersecondaryschool #CBSE #ICSE
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New algorithms for the numerical solution of nonlinear Fredholm and
Volterra integral equations using Haar wavelets
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Constructing tight fusion frames
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These notes are intended for secondary school students studying mathematics both for the School Certificate and General Certificate of ...
These notes are intended for secondary school students studying mathematics both for the School Certificate and General Certificate of Education Ordinary Level (GCE). The material covered in this book are for Grade 10, Grade 11, Grade 12 and those sitting for the General Certificate of Education Ordinary Level (GCE). The book has been written in simple language to help students grasp and apply mathematical concepts easily. To help reinforce the material, the book is loaded with examples which have been explained in a classic and simple way. Most questions given as examples in this book are from past examination questions of the Examination Council of Zambia so are some of the tasks. This has been done to expose students early to Examination Question answering skills thereby boasting their confidence in the subject. The book has covered at least 95% of the material tested in Mathematics syllabus D (Code 4024) Final Examination. Studying this material seriously help the student to yield great fruits in as far as Mathematics as a subject in concerned. This book was written due to a request made by m students at Ordinary Level for a simplified mathematics book. Therefore the material contained in this book are also my teaching notes. Having taught mathematics both at ordinary and advanced level, I have come to understand most challenges students face in the subject. Based on this fact the material has been presented in a readable and understandable manner tackling these challenges in the process such that even the dullest student will appreciate mathematics
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These notes are intended for secondary school students studying mathematics both for the School Certificate and General Certificate of Education ...
These notes are intended for secondary school students studying mathematics both for the School Certificate and General Certificate of Education Ordinary Level (GCE). The material covered in this book are for Grade 10, Grade 11, Grade 12 and those sitting for the General Certificate of Education Ordinary Level (GCE). The book has been written in simple language to help students grasp and apply mathematical concepts easily. To help reinforce the material, the book is loaded with examples which have been explained in a classic and simple way. Most questions given as examples in this book are from past examination questions of the Examination Council of Zambia so are some of the tasks. This has been done to expose students early to Examination Question answering skills thereby boasting their confidence in the subject. The book has covered at least 95% of the material tested in Mathematics syllabus D (Code 4024) Final Examination. Studying this material seriously help the student to yield great fruits in as far as Mathematics as a subject in concerned. This book was written due to a request made by m students at Ordinary Level for a simplified mathematics book. Therefore the material contained in this book are also my teaching notes. Having taught mathematics both at ordinary and advanced level, I have come to understand most challenges students face in the subject. Based on this fact the material has been presented in a readable and understandable manner tackling these challenges in the process such that even the dullest student will appreciate mathematics
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As we come to class 11 there are lots of topics that may not be understood even from your ...
As we come to class 11 there are lots of topics that may not be understood even from your tutors or teachers. That's why I brought you my own notes and hence each PDF contains only 2 pages so that student don't feel more stressed while studying.
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Everyday I will be uploading 2 PDFs and slowly but steadily we will be completing our problems
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En este ejercicio encontramos la derivada por definición de la ecuación de la recta
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ALGEBRA AND ITS BASICS ARE MENTIONED IN THESE NOTES
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What-are-the-best-calculus-books
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The document has derivative and integral of elementary trigonometric functions. The skill to find derivative and integration have been welded ...
The document has derivative and integral of elementary trigonometric functions. The skill to find derivative and integration have been welded as one interactive concept
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Draw the cardioid ,The area of region inside the cardioid
, Derive the formula to find the area between origin and ...
Draw the cardioid ,The area of region inside the cardioid
, Derive the formula to find the area between origin and the curve
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Cambridge International Examination General Certificate of Education Advanced Subsidiary Level
Mathematics
Paper 2 Pure mathematics (P2) OCTOBER / NOVEMBER SESSION 2001 University ...
Cambridge International Examination General Certificate of Education Advanced Subsidiary Level
Mathematics
Paper 2 Pure mathematics (P2) OCTOBER / NOVEMBER SESSION 2001 University Of Cambridge
Local Examination Syndicate
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Introductory notes on the Pythagorean hypothesis, the method used to calculate the length of a right sided triangle, with examples ...
Introductory notes on the Pythagorean hypothesis, the method used to calculate the length of a right sided triangle, with examples and a brief history.
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Cambridge International Examination General Certificate of Education Advanced Subsidiary Level
Mathematics
Paper 2 Pure mathematics (P2) OCTOBER / NOVEMBER SESSION 2001 University ...
Cambridge International Examination General Certificate of Education Advanced Subsidiary Level
Mathematics
Paper 2 Pure mathematics (P2) OCTOBER / NOVEMBER SESSION 2001 University Of Cambridge
Local Examination Syndicate
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Proof of an important limit problem to be used in almost all calculus problems in particular differentiation.The strategy of the ...
Proof of an important limit problem to be used in almost all calculus problems in particular differentiation.The strategy of the proof is too simple with detail of all relevant concepts
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This PDF covers all keypoints and main concepts of Vectors for JEE
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MATH 110 All Exams STATISTICS (LATEST UPDATE ) 20222023- Portage Learning
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Geometry is a branch of mathematics that deals with the study of shapes, sizes, positions, and measurements of objects in ...
Geometry is a branch of mathematics that deals with the study of shapes, sizes, positions, and measurements of objects in space. It involves the analysis of points, lines, angles, planes, and solid figures, such as polygons, circles, spheres, and cones
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Calculus is a branch of mathematics that deals with the study of continuous change and motion. It is used to ...
Calculus is a branch of mathematics that deals with the study of continuous change and motion. It is used to analyze and understand complex systems that involve rates of change, such as motion, growth, and decay
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Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It involves ...
Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It involves the use of various methods and techniques to summarize and describe data, make inferences and predictions, and test hypotheses.
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Probability is a branch of mathematics that deals with the study of random events and the likelihood of their occurrence. ...
Probability is a branch of mathematics that deals with the study of random events and the likelihood of their occurrence. It involves the use of mathematical models and tools to analyze and predict the chances of different outcomes in a given situation.
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Trigonometry is a branch of mathematics that deals with the study of angles and their relationships with sides of triangles. ...
Trigonometry is a branch of mathematics that deals with the study of angles and their relationships with sides of triangles. It involves the use of trigonometric functions, such as sine, cosine, and tangent, to calculate the unknown sides or angles of a triangle.
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Algebra is a branch of mathematics that deals with the study of mathematical symbols and the rules for manipulating these ...
Algebra is a branch of mathematics that deals with the study of mathematical symbols and the rules for manipulating these symbols. It involves solving equations and systems of equations, graphing linear and nonlinear equations, and manipulating mathematical expressions using operations such as addition, subtraction, multiplication, and division. Algebra is a fundamental subject in mathematics and is used extensively in various fields, including science, engineering, economics, and computer science. It provides a powerful tool for solving real-world problems by translating them into mathematical equations and solving them systematically.
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Easy to understand and to learn...
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This a simplified summary of the first 3 sections of the chapter on magnetism in University Physics 13th edition. These ...
This a simplified summary of the first 3 sections of the chapter on magnetism in University Physics 13th edition. These notes are for free as it's my first time selling notes. Enjoy
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In this notes I tried to explain in detail Indics and surds chapter very simple way
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Exams papers topic wise notes
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I explained complete theory of algebra with many different types of examples. I explained algebra topic in detail with many ...
I explained complete theory of algebra with many different types of examples. I explained algebra topic in detail with many different types of examples I explained it.
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Get to know the detail summary of "the concept of a limit of a function and how it relates to ...
Get to know the detail summary of "the concept of a limit of a function and how it relates to continuity."
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This PDF contains Detailed Notes to help you with your python programming journey. I have made these notes with utmost ...
This PDF contains Detailed Notes to help you with your python programming journey. I have made these notes with utmost care and free of errors. I have also included all the codes which you can straight away copy and paste. Best of luck for your coding journey!!
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This is a topic about Bayesian Statistics and its course.
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This is an essay about Bayesian Statistics and its course.
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This is an essay about Bayesian Statistics and its course.
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This is an essay about Bayesian Statistics and its course.
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Light is a unique form of energy in that it displays properties of both particles and waves.
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Compilation of semester exam level questions in Mathematical Physics-I on the following topics.
LINEAR ALGEBRA - linear vector spaces, metric and ...
Compilation of semester exam level questions in Mathematical Physics-I on the following topics.
LINEAR ALGEBRA - linear vector spaces, metric and inner product spaces, function spaces, span and basis, orthonormal basis and transformation, Gram-Schmidt procedure, Schwarz inequality, Bessel inequality, linear operators, identity and inverse, commutators, adjoint, hermitian, skew-hermitian, unitary, and orthogonal operators, basis expansion, matrix representation of functions and operators, operator transformation, eigenvalues and eigenfunctions, diagonalisation, spectral decomposition, expectation values, simultaneous eigenstates and commutativity, normal matrices, super-operators.
COMPLEX ANALYSIS - complex functions of complex variables, multivaluedness, continuity, differentiability and derivative, Cauchy-Riemann conditions, singularities, analytic and entire functions, contours, simply connected regions, Cauchy integral theorem, multiply connected regions, barriers, Cauchy integral formula and derivatives, Morera’s theorem, Cauchy’s inequality, Liouville’s theorem, neighbourhood and radius of convergence, Taylor and Laurent series, poles, simple poles, and essential singularities, meromorphic functions, branch points, analytic continuation, residue theorem, Cauchy principal value, Mittag-Leffler expansion, counting poles and zeroes, Rouche’s theorem, complex definite integrals, branch cuts and periodicity, evaluation of sums.
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University of Cambridge - Part III Mathematics/Certificate of Advanced Study in Mathematics/Masters of Mathematics
Actuarial Statistics: course notes, based on lectures ...
University of Cambridge - Part III Mathematics/Certificate of Advanced Study in Mathematics/Masters of Mathematics
Actuarial Statistics: course notes, based on lectures by Susan Pitts, covering aggregate claims, reinsurance, ruin probabilities, no-claim-discount systems, credibility theory and run-off triangles. Solutions to the 2006 paper.
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University of Cambridge - Part III Mathematics/Certificate of Advanced Study in Mathematics/Masters of Mathematics
Mathematics of Operational Research: notes, based on ...
University of Cambridge - Part III Mathematics/Certificate of Advanced Study in Mathematics/Masters of Mathematics
Mathematics of Operational Research: notes, based on lectures notes by Richard Weber, the book Introduction to Linear Optimization and the book Games, Theory and Applications, by L.C. Thomas. Covering optimization (including primal simplex, dual simplex and integer linear programming), algorithms on graphs, a very short section on complexity theory, game theory (zero-sum games, non-zero-sum games, cooperative games, bargaining, market games and evolutionary games) and regret minimization. An example of using Gomory's Cutting Plane method to solve an integer linear program.
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The William Lowell Putnam Mathematics Competition
Is a North American math contest for college students, organized by the Mathematical Association of ...
The William Lowell Putnam Mathematics Competition
Is a North American math contest for college students, organized by the Mathematical Association of America (MAA). Each year on the first Saturday in December, several thousands US and Canadian students spend 6 hours (in two sittings) trying to solve 12 problems. This past papers content problems and solutions.
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The William Lowell Putnam Mathematics Competition
Is a North American math contest for college students, organized by the Mathematical Association of ...
The William Lowell Putnam Mathematics Competition
Is a North American math contest for college students, organized by the Mathematical Association of America (MAA). Each year on the first Saturday in December, several thousands US and Canadian students spend 6 hours (in two sittings) trying to solve 12 problems. This past papers content problems and solutions.
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The William Lowell Putnam Mathematics Competition
Is a North American math contest for college students, organized by the Mathematical Association of ...
The William Lowell Putnam Mathematics Competition
Is a North American math contest for college students, organized by the Mathematical Association of America (MAA). Each year on the first Saturday in December, several thousands US and Canadian students spend 6 hours (in two sittings) trying to solve 12 problems. This past papers content problems and solutions.
Show Complete Description £1.50
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The William Lowell Putnam Mathematics Competition
Is a North American math contest for college students, organized by the Mathematical Association of ...
The William Lowell Putnam Mathematics Competition
Is a North American math contest for college students, organized by the Mathematical Association of America (MAA). Each year on the first Saturday in December, several thousands US and Canadian students spend 6 hours (in two sittings) trying to solve 12 problems. This past papers content problems and solutions.
Show Complete Description £1.50
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The William Lowell Putnam Mathematics Competition
Is a North American math contest for college students, organized by the Mathematical Association of ...
The William Lowell Putnam Mathematics Competition
Is a North American math contest for college students, organized by the Mathematical Association of America (MAA). Each year on the first Saturday in December, several thousands US and Canadian students spend 6 hours (in two sittings) trying to solve 12 problems. This past papers content problems and solutions.
Show Complete Description £1.50
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The William Lowell Putnam Mathematics Competition
Is a North American math contest for college students, organized by the Mathematical Association of ...
The William Lowell Putnam Mathematics Competition
Is a North American math contest for college students, organized by the Mathematical Association of America (MAA). Each year on the first Saturday in December, several thousands US and Canadian students spend 6 hours (in two sittings) trying to solve 12 problems. This past papers content problems and solutions.
Show Complete Description £1.50
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The William Lowell Putnam Mathematics Competition
Is a North American math contest for college students, organized by the Mathematical Association of ...
The William Lowell Putnam Mathematics Competition
Is a North American math contest for college students, organized by the Mathematical Association of America (MAA). Each year on the first Saturday in December, several thousands US and Canadian students spend 6 hours (in two sittings) trying to solve 12 problems. This past papers content problems and solutions.
Show Complete Description £1.50
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The William Lowell Putnam Mathematics Competition
Is a North American math contest for college students, organized by the Mathematical Association of ...
The William Lowell Putnam Mathematics Competition
Is a North American math contest for college students, organized by the Mathematical Association of America (MAA). Each year on the first Saturday in December, several thousands US and Canadian students spend 6 hours (in two sittings) trying to solve 12 problems. This past papers content problems and solutions.
Show Complete Description £1.50
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The William Lowell Putnam Mathematics Competition
Is a North American math contest for college students, organized by the Mathematical Association of ...
The William Lowell Putnam Mathematics Competition
Is a North American math contest for college students, organized by the Mathematical Association of America (MAA). Each year on the first Saturday in December, several thousands US and Canadian students spend 6 hours (in two sittings) trying to solve 12 problems. This past papers content problems and solutions.
Show Complete Description £1.50
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The William Lowell Putnam Mathematics Competition
Is a North American math contest for college students, organized by the Mathematical Association of ...
The William Lowell Putnam Mathematics Competition
Is a North American math contest for college students, organized by the Mathematical Association of America (MAA). Each year on the first Saturday in December, several thousands US and Canadian students spend 6 hours (in two sittings) trying to solve 12 problems. This past papers content problems and solutions.
Show Complete Description £1.50
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The William Lowell Putnam Mathematics Competition
Is a North American math contest for college students, organized by the Mathematical Association of ...
The William Lowell Putnam Mathematics Competition
Is a North American math contest for college students, organized by the Mathematical Association of America (MAA). Each year on the first Saturday in December, several thousands US and Canadian students spend 6 hours (in two sittings) trying to solve 12 problems. This past papers content problems and solutions.
Show Complete Description £1.50
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The William Lowell Putnam Mathematics Competition
Is a North American math contest for college students, organized by the Mathematical Association of ...
The William Lowell Putnam Mathematics Competition
Is a North American math contest for college students, organized by the Mathematical Association of America (MAA). Each year on the first Saturday in December, several thousands US and Canadian students spend 6 hours (in two sittings) trying to solve 12 problems. This past papers content problems and solutions.
Show Complete Description £1.50
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The William Lowell Putnam Mathematics Competition
Is a North American math contest for college students, organized by the Mathematical Association of ...
The William Lowell Putnam Mathematics Competition
Is a North American math contest for college students, organized by the Mathematical Association of America (MAA). Each year on the first Saturday in December, several thousands US and Canadian students spend 6 hours (in two sittings) trying to solve 12 problems. This past papers content problems and solutions.
Show Complete Description £1.50
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The William Lowell Putnam Mathematics Competition
Is a North American math contest for college students, organized by the Mathematical Association of ...
The William Lowell Putnam Mathematics Competition
Is a North American math contest for college students, organized by the Mathematical Association of America (MAA). Each year on the first Saturday in December, several thousands US and Canadian students spend 6 hours (in two sittings) trying to solve 12 problems. This past papers content problems and solutions.
Show Complete Description £1.50
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The William Lowell Putnam Mathematics Competition
Is a North American math contest for college students, organized by the Mathematical Association of ...
The William Lowell Putnam Mathematics Competition
Is a North American math contest for college students, organized by the Mathematical Association of America (MAA). Each year on the first Saturday in December, several thousands US and Canadian students spend 6 hours (in two sittings) trying to solve 12 problems. This past papers content problems and solutions.
Show Complete Description £1.50
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The William Lowell Putnam Mathematics Competition
Is a North American math contest for college students, organized by the Mathematical Association of ...
The William Lowell Putnam Mathematics Competition
Is a North American math contest for college students, organized by the Mathematical Association of America (MAA). Each year on the first Saturday in December, several thousands US and Canadian students spend 6 hours (in two sittings) trying to solve 12 problems. This past papers content problems and solutions.
Show Complete Description £1.50
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The William Lowell Putnam Mathematics Competition
Is a North American math contest for college students, organized by the Mathematical Association of ...
The William Lowell Putnam Mathematics Competition
Is a North American math contest for college students, organized by the Mathematical Association of America (MAA). Each year on the first Saturday in December, several thousands US and Canadian students spend 6 hours (in two sittings) trying to solve 12 problems. This past papers content problems and solutions.
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this notes are all you need to understand the maths and stats knowledge for data science
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Solidos de revolución con método de Discos y Anillos
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Applications of Pythagoras Theorem
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Angle Sum Property of a Quadrilateral
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notes of For the given data below mean etc...,
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In this notes you will get all the linear algebra needed for ai ml
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ayuda a tu cerebro a emprender en matematicas y mas.
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This document contains 50 practice questions on Indefinite Integration. Integration is a tricky concept to master and the best way ...
This document contains 50 practice questions on Indefinite Integration. Integration is a tricky concept to master and the best way to do it is through intensive, non-repetitive practice. This sheet has questions of mixed difficulties. This will surely help you ace your next integration test!
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In this notes you can practice about Prime Factorization, types, examples and also you can solve worksheet about Prime Factorization ...
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In the context of measurements, a unit is a standardized quantity used to express a particular physical or abstract quantity. ...
In the context of measurements, a unit is a standardized quantity used to express a particular physical or abstract quantity. Units provide a consistent and universally understood way of quantifying and comparing different values. They play a crucial role in science, engineering, and everyday life.
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This document is designed to provide learners with the basic underpinning of Algebra. It is very comprehensive and easy to ...
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General mathematics quiz questions and answers algebra college and university
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These notes are designed to provide a comprehensive foundation in differential equations, enabling students to develop the necessary analytical and ...
These notes are designed to provide a comprehensive foundation in differential equations, enabling students to develop the necessary analytical and problem-solving skills required for success at A-Level Further Mathematics and the first and second years of undergraduate mathematics. The content is presented in a clear and concise manner, with ample examples and practice problems to reinforce the concepts learned.
Key Topics Covered:
Introduction to Differential Equations: Definitions, basic concepts, and classification of differential equations.
First-Order Differential Equations: Solving first-order differential equations using separation of variables, integrating factors, and exact equations.
Linear Second-Order Differential Equations: Homogeneous and non-homogeneous linear second-order differential equations, with a focus on constant coefficient equations. Methods covered include the auxiliary equation method, method of undetermined coefficients, and variation of parameters.
Higher-Order Differential Equations: Extension to higher-order linear differential equations, including finding general solutions and solving initial value problems.
Systems of Differential Equations: Introduction to systems of linear differential equations, matrix representation, and solution methods such as eigenvalues and eigenvectors.
Laplace Transform: The Laplace transform method for solving linear ordinary differential equations with constant coefficients. Applications to systems and initial value problems.
Numerical Methods: Introduction to numerical methods for approximating solutions to differential equations, including Euler's method and the Runge-Kutta method.
Power Series Solutions: Power series solutions for ordinary differential equations, including Frobenius method and special functions such as Bessel and Legendre functions.
Partial Differential Equations (PDEs): An introduction to partial differential equations, including the wave equation, heat equation, and Laplace's equation. Solution techniques include separation of variables and Fourier series methods.
Applications: Real-world applications of differential equations in various scientific and engineering fields, such as population dynamics, electrical circuits, mechanics, and fluid dynamics.
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This Computer Algebra Comprehensive Summary Covered and Explains: introduction to computer algebra, Matlab software, Maple software, solving differential equations using ...
This Computer Algebra Comprehensive Summary Covered and Explains: introduction to computer algebra, Matlab software, Maple software, solving differential equations using symbolic methods and numerical methods, examples of Euler's method, examples of Runge-Kutta methods, examples of finite difference methods, example of solving a differential equation using both symbolic and numerical methods, linear algebra operations, such as matrix multiplication and eigenvalue computations, the use of mathematical modeling to describe and analyze physical systems and the use of optimization techniques to solve mathematical problems in engineering and science
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This Graphs and Charts Comprehensive Guide
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This Data Science and Big Data Analytics Course Comprehensive Summary and Study Guide Covers and Explains:
Introduction to data ...
This Data Science and Big Data Analytics Course Comprehensive Summary and Study Guide Covers and Explains:
Introduction to data science and big data analytics, Key concepts in data science and big data analytics, Overview of the data science lifecycle and big data ecosystem, Applications and use cases of data science and big data analytics, Data exploration and visualization, Techniques for data exploration, Data cleaning, and data visualization, Overview of popular data visualization tools and libraries, Data visualization principles and best practices, Statistical analysis and hypothesis testing, Basic statistical concepts, Techniques for hypothesis testing, Statistical significance and interpreting statistical results, Machine learning algorithms, Overview of popular machine learning algorithms, Techniques for feature engineering, Model selection, and model evaluation, Common machine learning libraries, Big data processing and analysis, Techniques for distributed data processing, Big data storage and management, Data mining and text mining, Common algorithms for data mining, Data integration and etl (extract, transform, load), Data ethics and privacy, Data visualization and dashboarding and Study guide
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Math----Statistics (probability and logical reasoning)
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#VERY important notes.
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#VERY important notes.
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You will get imp topics question for physics which are frequently asked in board examination and other competitive axamination.It also ...
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This doc contains in depth knowledge on maths chapter set theory with great tips and tricks with high quality explanation
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This doc contains in depth knowledge on maths chapter set theory with great tips and tricks with high quality explanation
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cours et résumé bien détaillé du cours limite et continuité destiné aux élèves du 2bac sm et 2bac pc , ...
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These are the notes of syllabus of JEE Mains and Advanced level , that will help students to give a ...
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the notes which contains the detail notes of arrays in data structures if any new students who want to know ...
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Notes on mathematics topic set, relation and function
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Do you feel trapped in the cycle of procrastination, wanting to study, but not knowing where to begin?
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Algebra integrals and integration play a crucial role in mathematics and have numerous applications in various fields.
Solving Differential Equations: Many ...
Algebra integrals and integration play a crucial role in mathematics and have numerous applications in various fields.
Solving Differential Equations: Many real-world problems can be represented as differential equations. Integrating these equations allows students to find the general solution, which helps in understanding and predicting the behavior of systems in physics, engineering, and other scientific disciplines.
Studying integration and mastering its techniques can provide students with a powerful mathematical toolset applicable across various disciplines.
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Algebra integrals and integration play a crucial role in mathematics and have numerous applications in various fields.
Solving Differential Equations: Many ...
Algebra integrals and integration play a crucial role in mathematics and have numerous applications in various fields.
Solving Differential Equations: Many real-world problems can be represented as differential equations. Integrating these equations allows students to find the general solution, which helps in understanding and predicting the behavior of systems in physics, engineering, and other scientific disciplines.
Studying integration and mastering its techniques can provide students with a powerful mathematical toolset applicable across various disciplines.
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In this note, following topics have been covered:
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This is the lecture notes of the Introduction to Calculus at Newcastle University in your first year, this is the ...
This is the lecture notes of the Introduction to Calculus at Newcastle University in your first year, this is the lecture notes of Stuart Hall's and Michael Whites Lecture notes which will be really helpful..
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These are the trignomertry identities used in mathematics of class 11
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DOCUMENTS ARE USEFUL AND BENEFICIAL AND ARE SO DETAILED.
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DOCUMENTS ARE USEFUL AND BENEFICIAL AND ARE SO DETAILED.
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The notes cover the definition along with elementary properties of continuous functions (of a single variable, as handled in a ...
The notes cover the definition along with elementary properties of continuous functions (of a single variable, as handled in a first calculus course). Moreover, complete proofs of stated results are given, such as the continuity of the composite of continuous functions. The note also covers the intermediate value theorem, and gives a complete proof of this as well. The note is written in a manner which makes it self-contained.
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POLYLINEAR PART OF ADVANCED ALGEBRA
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set theory definition, the notion, kinds of the sets, operation of the sets, union, intersection, complements, identities, and law of ...
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This high school study guide will teach you all you need to know about the steps of collection of data, ...
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It includes definition, types, structure , functions and comparison btw DNA and RNA
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EN ESTE ARCHIVO VAMOS A ENCONTRAR DEFINICIONES Y DEMOSTRACIÓNES DE LA LÓGICA PROPOSICIÓNAL Y CALCULO PROPOSICIÓNAL, RESÚMEN SACADO DE UNIVERSIDADES ...
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The document providing important Number system questions for 9th class students will
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Cálculo del gradiente de una función de dos variables realizado por la Licenciada Zaida Marín. Docente de matemáticas con más ...
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Revising and preparing for your upcoming Life Sciences exam, Grade 12s? Don't sweat at all because I got your back. ...
Revising and preparing for your upcoming Life Sciences exam, Grade 12s? Don't sweat at all because I got your back. This is a 2015 question paper with answers for the months February to March. This will help you with apply your knowledge of Life Sciences regardless of whether it was written in 2015!
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A menudo existe confusión entre tiempo y clima. El tiempo atmosférico o tiempo es el estado de la atmósfera en ...
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Una reacción química, también llamada cambio químico o fenómeno químico, es todo proceso termodinámico en el cual dos o más ...
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A module for application of derivatives
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Este documento contiene las tres leyes de Newton, su explicación y ejemplos.
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La investigación de operaciones como ciencia de la administración implica el uso de las
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Los ingenieros del producto, cuando lo diseñan, tienen en cuenta la existencia de la variabilidad y no se limitan a ...
Los ingenieros del producto, cuando lo diseñan, tienen en cuenta la existencia de la variabilidad y no se limitan a fijar un valor único para cada característica de calidad sino que señalan un intervalo delimitado por las llamadas Tolerancias. Sin embargo, debemos destacar que los valores de las tolerancias deben ser fijados teniendo en cuenta exclusivamente los aspectos funcionales, comerciales, de seguridad, etc., y nunca basándose en la variabilidad del proceso. En consecuencia, tenemos por una parte, unas especificaciones de calidad definidas mediante el valor nominal T y las tolerancias, inferior T1, y superior T2, que definen la amplitud de tolerancias mediante W = T2 – T1 y, por otra..
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It helps you with your weak math skills and even good for brilliant students. It also helps with your math ...
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The book titled "Exploring Applied Mathematics Across Various Disciplines: Discoveries and Influences" offers a captivating investigation into the vital role ...
The book titled "Exploring Applied Mathematics Across Various Disciplines: Discoveries and Influences" offers a captivating investigation into the vital role of applied mathematics across a wide range of fields. It showcases how this type of mathematics significantly influences our understanding of complex occurrences and drives innovation in different domains. This extensive volume delves into the dynamic relationship between mathematical theory and its real-world applications, highlighting how mathematical principles form the foundation for advancements in science, technology, engineering, and more.
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This anthology transcends traditional boundaries, nurturing interdisciplinary comprehension and cooperation. It stands as evidence of mathematics' universal status as a language of innovation and exploration. Each chapter provides a glimpse into how mathematical thinking has transformed industries and paved new paths for investigation. The book also underscores the increasing significance of fostering the next generation of mathematical thinkers, as their insights and contributions are poised to redefine various fields.
"Exploring Applied Mathematics Across Various Disciplines: Discoveries and Influences" is essential reading for scholars, students, and enthusiasts aiming to grasp the profound effect of applied mathematics on advancing knowledge and bettering society. As the book traverses the domains of science, technology, and more, it unveils the intricate fabric of applied mathematics and how it continues to shape our world in unforeseen and impactful ways.
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The book titled "Exploring Applied Mathematics Across Various Disciplines: Discoveries and Influences" offers a captivating investigation into the vital role ...
The book titled "Exploring Applied Mathematics Across Various Disciplines: Discoveries and Influences" offers a captivating investigation into the vital role of applied mathematics across a wide range of fields. It showcases how this type of mathematics significantly influences our understanding of complex occurrences and drives innovation in different domains. This extensive volume delves into the dynamic relationship between mathematical theory and its real-world applications, highlighting how mathematical principles form the foundation for advancements in science, technology, engineering, and more.
Within this enlightening compilation, readers are invited to embark on a journey through the intricate interplay of applied mathematics, where abstract ideas intersect with concrete challenges to produce transformative solutions. Covering fields from physics to finance, biology to engineering, and all areas in between, the book illustrates how mathematical modeling, analysis, and computational techniques empower researchers and practitioners to dissect intricate problems, make informed decisions, and create novel strategies.
Prominent experts and scholars from diverse fields come together to discuss the collaboration between their domains and applied mathematics. The chapters offer insightful narratives detailing the progression of mathematical tools in specific contexts, celebrating their achievements in enhancing processes, foreseeing outcomes, and demystifying once-unfathomable puzzles. Readers will cultivate a deeper understanding of how mathematical concepts translate into real-world breakthroughs, encompassing everything from predicting natural disasters and streamlining supply chains to comprehending neural networks and simulating biological processes.
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This is Pre-Algebra notes for all the students.
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Transducers play a crucial role in engineering and technology, particularly in fields such as electronics, instrumentation, and mechanical engineering. These ...
Transducers play a crucial role in engineering and technology, particularly in fields such as electronics, instrumentation, and mechanical engineering. These devices serve as intermediaries between different forms of energy, converting one type of energy into another. Here's a brief overview of transducers and their significance:
Definition and Types:
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Transducers play a crucial role in engineering and technology, particularly in fields such as electronics, instrumentation, and mechanical engineering. These ...
Transducers play a crucial role in engineering and technology, particularly in fields such as electronics, instrumentation, and mechanical engineering. These devices serve as intermediaries between different forms of energy, converting one type of energy into another. Here's a brief overview of transducers and their significance:
Definition and Types:
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This is ideal for teachers as a teaching aid in the teaching-learning process.
Intermediate level students can master the lesson of ...
This is ideal for teachers as a teaching aid in the teaching-learning process.
Intermediate level students can master the lesson of indices in Algebra.
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A pdf which is ideal for teachers as a teaching aid in the teaching learning process.
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A pdf which is ideal for teachers as a teaching aid in the teaching learning process.
Students can master the lesson of Indices in Algebra. (Intermediate level)
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Measurement of units
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IT is most beneficial for engineering students of first year . It contain all the information of matrix. form starting ...
IT is most beneficial for engineering students of first year . It contain all the information of matrix. form starting to ending.
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Unlock the Power of Matrices and Excel in Your Engineering Journey!
Are you an aspiring engineering student embarking on your very ...
Unlock the Power of Matrices and Excel in Your Engineering Journey!
Are you an aspiring engineering student embarking on your very first semester? Do you often find yourself grappling with the complex world of matrices and seeking a comprehensive, easy-to-understand guide to lead you through this fundamental mathematical concept? Look no further, for "Foundations of Matrix Mathematics for Engineering" is your key to mastering this essential topic!
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Questions and answers for college algebra
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All the basics of differentiations for the trigonometric function you will need with the power function and fractional function or ...
All the basics of differentiations for the trigonometric function you will need with the power function and fractional function or root
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All the Differentiation of trigonometric functions with some examples to make sure that you understood what you studied and it's ...
All the Differentiation of trigonometric functions with some examples to make sure that you understood what you studied and it's also answered for you to check your answers
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In these notes I briefly explain "PORTER STEMMER & its rules" the main part of Natural Language Processing. I ...
In these notes I briefly explain "PORTER STEMMER & its rules" the main part of Natural Language Processing. I explain its rules with examples.
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Chapter 1 Notes
Southern Illinois University- Carbondale
Teacher: Rasanji Rathnayake
Chapter 1 covers terms and definitions we would be using in ...
Chapter 1 Notes
Southern Illinois University- Carbondale
Teacher: Rasanji Rathnayake
Chapter 1 covers terms and definitions we would be using in this chapter and in statistics.
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Secuencia didáctica de matemáticas y su didáctica
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This note is not only notes it is a sample paper of math for class 11 which can help them ...
This note is not only notes it is a sample paper of math for class 11 which can help them to understand better how the question will appear in their examination
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Simplified notes for students who want to have an easy time of revising for exams.Also people who might be ...
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these notes tell you how to look at a number and know what type of number it is
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comparacion de las vias metabolicas
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It's a c++ program for check a number is odd or even
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Define Percentage
Conversion from percentage to fraction.
Ready Reference formulae
Property of Percentage
Conversion from fraction to percentage
Some Useful Points
Percentage Change
Multiplying Factor
Use of Multiplying ...
Define Percentage
Conversion from percentage to fraction.
Ready Reference formulae
Property of Percentage
Conversion from fraction to percentage
Some Useful Points
Percentage Change
Multiplying Factor
Use of Multiplying Factor
Successive Percentage Change(with and without formula)
Overall Multiplying Factor
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Basics of Numbers: Real, Rational, Irrational, Fractions, Integers, Whole, Natural, Composite, Prime, Even, and Odd Numbers.
Decimal Expansion: Terminating, Non terminating ...
Basics of Numbers: Real, Rational, Irrational, Fractions, Integers, Whole, Natural, Composite, Prime, Even, and Odd Numbers.
Decimal Expansion: Terminating, Non terminating and recurring, Non terminating and non-recurring
Properties of Rational and Irrational Numbers
Few Properties of Odd and Even Numbers
Properties of Prime Numbers
Composite Numbers
Twin Primes
Co-prime/Relative Prime
Properties of Co-prime
HCF/LCM
Properties of HCF & LCM
Divisibility Rule of 2,3,4,5,6,8,9,10,11,16
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Is a good note for my friend they are even my class notes just go through it talks about importants, ...
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These notes are typically study materials or lecture notes that cover the topic of integration within the broader field of ...
These notes are typically study materials or lecture notes that cover the topic of integration within the broader field of algebra and calculus. These notes can be used by students, especially in mathematics and science courses, to understand and apply concepts related to integration.
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this file helped me to pass my classes and get my engineering degree very helpful i highly recommend it ...
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This document for SSLC previous year question paper chirstmas exam
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Simplified Indices and Standard form of numbers .
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The most Important Formulas Sheet to crack the SAT Mathematics exam with Ease.
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The note is a thorough explanation on quadratic equation
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Estos son ejercicios fáciles de resolver y ayudan para la comprensión de ejercicios complejos
DISFRUTEN
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En esta publicación, te proporcionaremos consejos sobre cómo estudiar para el examen, cómo prepararse para el día del examen y ...
En esta publicación, te proporcionaremos consejos sobre cómo estudiar para el examen, cómo prepararse para el día del examen y cómo abordar las preguntas del examen. Adicional algunos ejercicios solucionados con procedimiento incluido.
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Cambridge International AS and A level
Mathematics
Pure mathematics 1
Sophie Goldie
Series Editor: Roger Porkess
Ex 3C
shahbaz ahmed
May 2023
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These notes are aimed at first year students who need to study Advanced mathematics as part of their course requirement. ...
These notes are aimed at first year students who need to study Advanced mathematics as part of their course requirement.
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Detailed notes on the basics of Matlab. These notes are for anyone looking to start learning Matble and is most ...
Detailed notes on the basics of Matlab. These notes are for anyone looking to start learning Matble and is most relevant for scientists and engineers.
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Notes demonsrating how to solve linear algebra problems using Matlab.
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Chi squared distribution and degree of freedom.
In probability theory and statistics, the chi-squared distribution with degrees of freedom is ...
Chi squared distribution and degree of freedom.
In probability theory and statistics, the chi-squared distribution with degrees of freedom is the distribution of a sum of the squares of independent standard normal random variables.
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It is used to describe the distribution of a sum of squared random variables. It is also used to test ...
It is used to describe the distribution of a sum of squared random variables. It is also used to test the goodness of fit of a distribution of data, whether data series are independent, and for estimating confidences surrounding variance and standard deviation for a random variable from a normal distribution.
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It is used to describe the distribution of a sum of squared random variables. It is also used to test ...
It is used to describe the distribution of a sum of squared random variables. It is also used to test the goodness of fit of a distribution of data, whether data series are independent, and for estimating confidences surrounding variance and standard deviation for a random variable from a normal distribution.
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Algebra quizzes for students. Three pages, 20 questions (10 short questions) 10 long multiple-choice questions
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In the vast landscape of mathematical understanding, algebra stands as the gateway-a key to deciphering the intricate patterns that govern ...
In the vast landscape of mathematical understanding, algebra stands as the gateway-a key to deciphering the intricate patterns that govern our numerical world.
Whether you are a student navigating the early stages of algebra or a seasoned mathematician, this book is designed to be a companion on your mathematical voyage.
Fred Nolan is a seasoned mathematician and has a passion for teaching the subject in a way that will make it very easy for just anyone to understand.
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These are lecture notes for Basic Mathematics lessons
which includes: General Form of Quadratic Equations, Finding the roots of
quadratic equations, Factorization ...
These are lecture notes for Basic Mathematics lessons
which includes: General Form of Quadratic Equations, Finding the roots of
quadratic equations, Factorization of Quadratic Equations, Creating New Quadratic Equations,
Understanding twin roots, graphing quadratic functions
Also included are examples of questions and their solutions
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In the lesson it is explained what is meant by
arithmetic rows and series.
Also included are examples of questions and their ...
In the lesson it is explained what is meant by
arithmetic rows and series.
Also included are examples of questions and their solutions
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These are the lecture notes for the Logic Gates lesson which includes:
AND, OR, NOT, NAND, OR, XOR and XNOR
Create Logic ...
These are the lecture notes for the Logic Gates lesson which includes:
AND, OR, NOT, NAND, OR, XOR and XNOR
Create Logic Gate equations, Logic Gate Circuits and Truth Tables
Also included are examples of questions and their solutions
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Se muestra la solución de varios ejercicios utilizando la formula cuadrática y una breve definicion y uso de la misma. ...
Se muestra la solución de varios ejercicios utilizando la formula cuadrática y una breve definicion y uso de la misma.
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Solucion y procedimiento de algunos ejercicios sobre limites por definicion.
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Fórmulas de derivada simple (suma, resta, constantes) y 10 ejercicios resueltos.
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La Geometría En Las Matemáticas
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In this note you will get all the formulas of basic math and logarithm in a shot notes way... ...
In this note you will get all the formulas of basic math and logarithm in a shot notes way...
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Most helpful for students and very essay way to learn steps by steps
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CHEMISTRY STUDENT 2 YEAR ALLIED MATHES
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To find equation of line intersecting an ellipse and the skills related to the area of an ellipse. Figure are ...
To find equation of line intersecting an ellipse and the skills related to the area of an ellipse. Figure are added to make
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Cambridge International AS and A level
Mathematics
Pure mathematics 1
Sophie Goldie
Series Editor: Roger Porkess
Ex 3C
shahbaz ahmed
£12.50
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It is proof of Beal's conjecture with the possible reward of
million dollars. Since i could not get it publish, I ...
It is proof of Beal's conjecture with the possible reward of
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It is a proof of Beal's Conjecture with the technique of algebra. The conclusion may be verified manually. Moreover ...
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Some problems in Calculus along with proof of relevant trigonometric formulas .Derivatives and anti-derivates are integrated skills and I ...
Some problems in Calculus along with proof of relevant trigonometric formulas .Derivatives and anti-derivates are integrated skills and I have combined all in one documents to make it convincible for students
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Class notes with theory, formulas, illustrations and solved exercises.
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Class notes with theory, formulas, illustrations and solved exercises
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Class notes with theory, formulas, illustrations and solved exercises.
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Solution:
Cambridge Assessment
For examination from 2025
MATHEMATICS 0580/02
Salient features:
All relevant formulas proved
Figure added to make learning visual
Problem solving strategy is convincing ,appealing ...
Solution:
Cambridge Assessment
For examination from 2025
MATHEMATICS 0580/02
Salient features:
All relevant formulas proved
Figure added to make learning visual
Problem solving strategy is convincing ,appealing and adaptable to the needs of learner. The writer is retired teacher with more than 31 years teaching experience as a post graduate in mathematics.
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In this file you will get basic math and logarithm shot notes...
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Carbon: It is the second most common element in the human body after oxygen. It is present in coal, ...
Carbon: It is the second most common element in the human body after oxygen. It is present in coal, oil and natural gas.
Carbon is found in sun, planets, carbonate rocks like limestone, dolomite, marble
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This PDF files contains "Advanced Problems on GENERAL ORGANIC CHEMISTRY" which are very crucial to solve to understand the core ...
This PDF files contains "Advanced Problems on GENERAL ORGANIC CHEMISTRY" which are very crucial to solve to understand the core concepts of this Topic and the intial phase of Organic Chemistry.
These questions are at par with the level of questions asked in one of the world's toughest Exam i.e "JEE ADVANCED " in India.
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Integration by parts is a technique used in calculus to evaluate the integral of a product of two functions. The ...
Integration by parts is a technique used in calculus to evaluate the integral of a product of two functions. The formula for integration by parts stems from the product rule for differentiation and allows you to transform certain types of integrals into simpler ones.
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This doc contains 3 pages in which I am providing you the sample paper of the physics of 11th standard ...
This doc contains 3 pages in which I am providing you the sample paper of the physics of 11th standard for your practise for examinations.
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Notes on a course focused on causality in economics, microeconometrics with some notes on papers as well.
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A general discription about STEM.
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1. Fundamental concepts:
1.1. Distance between two points
1.2. Inclination and slope of a straight line
1.3. Angle between two straight lines
1.4. Division ...
1. Fundamental concepts:
1.1. Distance between two points
1.2. Inclination and slope of a straight line
1.3. Angle between two straight lines
1.4. Division of a segment at a given ratio
1.5. Graph of an equation and geometric places
1.5.1. Equation of a geometric place
1.5.2. Intercepts with the coordinate axes
1.5.3. Extension of a curve
1.5.4. Symmetries
1.5.5. Asymptotes
2. The Straight Line:
2.1. Definition of straight line
2.2. Forms of the equation of the line
2.2.1. Point-pending
2.2.2. Pending-interception
2.2.3. Two points
2.2.4. Symmetrical.
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1. Fundamental concepts:
1.1. Distance between two points
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Important points in limit and derivatives chapter
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"Introduction to Algebra: Understanding the Basics" is a comprehensive guide that embarks readers on a journey through the fundamental concepts ...
"Introduction to Algebra: Understanding the Basics" is a comprehensive guide that embarks readers on a journey through the fundamental concepts and applications of algebra. Beginning with basic algebraic terms and symbols, the book progresses to explore simple and complex equations, negative numbers, fractions, decimals, and the introduction of variables and algebraic expressions. It systematically covers the essentials of ratios, proportions, polynomials, factoring, and the workings of functions and their graphs.
The book delves into more advanced topics such as systems of equations and inequalities, radical expressions, quadratic equations, exponential and logarithmic functions, and rational expressions. It also introduces sequences and series, probability and statistics, complex numbers, matrices and determinants, and conic sections, demonstrating the breadth and depth of algebraic study.
Each chapter provides clear explanations, key terms, and real-world applications, showing the relevance of algebra in various fields such as engineering, finance, science, and technology. "Introduction to Algebra: Understanding the Basics" serves as an essential resource for students, educators, and anyone seeking a solid foundation in algebra, offering insights into its practical significance and the role it plays in our understanding of the world.
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These notes are for kids in year 7 & 8. The subjects in this book are nth term , fraction, ...
These notes are for kids in year 7 & 8. The subjects in this book are nth term , fraction, decimals and percentages , short and long multiplication, calculations with measurements, reflecting shapes, significant figures, percentage increases & decrease, calculating percentage change, expanding brackets , multiplying fractions , scale and adding & subtracting fractions
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A brief summary for educational subjects
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The math test is a comprehensive assessment designed to evaluate students' understanding and application of mathematical concepts. It covers various ...
The math test is a comprehensive assessment designed to evaluate students' understanding and application of mathematical concepts. It covers various topics including arithmetic, algebra, geometry, and statistics. The test consists of a combination of multiple-choice questions, short answer problems, and possibly longer, more complex questions requiring critical thinking and problem-solving skills. Students are expected to demonstrate proficiency in solving equations, interpreting graphs, calculating geometric properties, and analyzing data sets. The test aims to assess not only mathematical knowledge but also the ability to reason logically and apply mathematical principles in real-world scenarios. It provides a measure of students' mathematical proficiency and helps educators identify areas for further instruction and improvement.
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These are the best notes in maths and its help you clear civil service exam
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IOP2601 Assignment 1 (COMPLETE ANSWERS) Semester 1 2024 - [Due 15 April @18:00] DISTINCTION GUARANTEED. Detailed answers, guidelines, workings and ...
IOP2601 Assignment 1 (COMPLETE ANSWERS) Semester 1 2024 - [Due 15 April @18:00] DISTINCTION GUARANTEED. Detailed answers, guidelines, workings and references to pages in the textbook and study guide..... QUESTION 1 .1.What is the probability that Zodwa will win first prize (2), QUESTION 1.5 What is the probability that Zodwa and MacGyver will win first and second prize,respectively? (3). Feel free to DM or email for any questions and elaborations. Available from 8am to 10pm
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Révision notes and Knowledge Organiser for WJEC Biology. Written notes and diagrams are only on Unit 1.4 Enzymes and Biological ...
Révision notes and Knowledge Organiser for WJEC Biology. Written notes and diagrams are only on Unit 1.4 Enzymes and Biological Reactions. Written from textbook and class notes.
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Notes of class 11 physics unit and dimensions
For Jee mains and advanced
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Rangkuman materi aljabar boolean terkait bilangan biner, hexa dan juga okta
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Here we had covered a concept from basic to advanced and also notes all important formulas and remember things
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I have taken these questions and answers from ACCUPLACER. The topics of which is Elementary Algebra.
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I have taken these questions and answers from ACCUPLACER. The topics of which is Elementary Algebra.
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This is one of the test question for Indonesian children. You can translate it into english
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This is one of the test question for Indonesian children. You can translate it into English
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Mathematics is the study of numbers, quantities, shapes, and patterns. It involves abstract concepts and logical reasoning, providing a foundation ...
Mathematics is the study of numbers, quantities, shapes, and patterns. It involves abstract concepts and logical reasoning, providing a foundation for sciences and engineering. Key areas include algebra, geometry, calculus, and statistics, each exploring different aspects of structure, change, space, and data.
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Mathematics is the study of numbers, quantities, shapes, and patterns. It involves abstract concepts and logical reasoning, providing a foundation ...
Mathematics is the study of numbers, quantities, shapes, and patterns. It involves abstract concepts and logical reasoning, providing a foundation for sciences and engineering. Key areas include algebra, geometry, calculus, and statistics, each exploring different aspects of structure, change, space, and data.
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Mathematics Applied in Economy (AAECTS1103)
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this pdf is about probabilities in mathematic ; it has some examples and some questions .
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this pdf is about measurement in physics and math ; and it has some example with it . level : ...
this pdf is about measurement in physics and math ; and it has some example with it . level : medium
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An EOS is a system capable of monitoring enterprise resources and operations in order to dynamically allocate resources to required ...
An EOS is a system capable of monitoring enterprise resources and operations in order to dynamically allocate resources to required activities
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The Bucherer reaction in organic chemistry is the reversible conversion of a naphthol to a naphthylamine in the presence of ...
The Bucherer reaction in organic chemistry is the reversible conversion of a naphthol to a naphthylamine in the presence of ammonia and sodium bisulfite
Rosenmund reaction is a hydrogenation process where molecular hydrogen reacts with the acyl chloride in the presence of catalyst – palladium on barium sulfate.
The Grunwald–Winstein equation is a linear free energy relationship between relative rate constants and the ionizing power of various solvent systems, describing the effect of solvent as nucleophile on different substrates. The equation, which was developed by Ernest Grunwald and Saul Winstein in 1948
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Calculus 1 - Full College Course Notes
Description:
Master Calculus 1 with these detailed and well-organized course notes! These notes are perfect ...
Calculus 1 - Full College Course Notes
Description:
Master Calculus 1 with these detailed and well-organized course notes! These notes are perfect for college students aiming for top grades and a deep understanding of calculus concepts. They provide comprehensive coverage of all topics in a typical Calculus 1 course, presented in a clear and accessible manner.
Features:
Complete Topic Coverage: Including limits, derivatives, integrals, and more.
Detailed Explanations: Simplified concepts, definitions, and theorems for better understanding.
Step-by-Step Solutions: Comprehensive walkthroughs of example problems and exercises.
Visual Aids: Diagrams, graphs, and charts to help visualize complex concepts.
Study Tips: Proven strategies for tackling exams and homework effectively.
Practice Problems: Additional questions with answers to test your understanding.
Topics Covered:
Rational Expressions and Functions
Simplifying and operations
Graphs, asymptotes, and holes
Intermediate Value Theorem
Continuity and Limits
Understanding continuity
Existence of limits
Left and right-sided limits
The Squeeze Theorem
Derivatives
Basic rules: power, product, quotient, and chain rule
Derivatives of trigonometric functions
Applications of derivatives: tangent lines, rates of change
Polynomial derivatives and calculation methods
Integrals and Applications
Fundamental techniques of integration
Application of integrals in real-life contexts
Trigonometric Functions
Properties and graphs of sine, cosine, tangent, and related functions
Trigonometric identities and limits
Additional Calculus Concepts
Slope and average rate of change
Unit circle and angle measurement
Continuity in rational functions
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This Coordinate Geometry Class X Guide is an essential resource for mastering key mathematical concepts. Covering the Cartesian Plane, Distance ...
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This document provides an in-depth investigation into the energy content of homologous alcohols, from methanol to pentanol, using a calorimetric ...
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This document provides a comprehensive guide to integration, covering its fundamental concepts, rules, and applications. It includes definitions, examples, and ...
This document provides a comprehensive guide to integration, covering its fundamental concepts, rules, and applications. It includes definitions, examples, and step-by-step solutions for various integration problems. Key topics include the power rule, constant functions, integration by substitution, and integration by parts. Additionally, it explores the application of integration in real-world contexts, such as calculating areas under curves, cost functions, and revenue optimization. The notes include exercises for practice and are tailored for students or professionals seeking a practical understanding of integration techniques.
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Total differentiation in calculus refers to the process of finding the rate of change of a function with respect to ...
Total differentiation in calculus refers to the process of finding the rate of change of a function with respect to multiple variables. It extends the concept of differentiation to functions of more than one variable, allowing us to compute how a function changes when all of its independent variables change simultaneously.
If a function depends on variables, the total derivative of with respect to one variable can be computed by considering the contributions of all independent variables. The total differential is represented as:
df = \frac{\partial f}{\partial x_1} dx_1 + \frac{\partial f}{\partial x_2} dx_2 + ... + \frac{\partial f}{\partial x_n} dx_n
Here, represents the partial derivative of with respect to , and denotes an infinitesimal change in the variable . The total differential gives the best linear approximation to the change in due to small changes in each of the variables.
In practical terms, total differentiation is used when variables are interdependent, such as in multivariable optimization problems, and helps understand how changes in one or more variables impact the overall function.
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A Precalculus Review covers essential mathematical concepts that prepare students for the study of calculus. These concepts build a foundation ...
A Precalculus Review covers essential mathematical concepts that prepare students for the study of calculus. These concepts build a foundation for understanding limits, derivatives, and integrals in calculus. Here are the key topics typically included in a precalculus review:
1. Functions: A function is a relationship between two variables where each input (usually ) corresponds to exactly one output (usually ). Understanding types of functions such as linear, quadratic, polynomial, rational, exponential, and logarithmic functions is fundamental. Key concepts include domain, range, and function operations (addition, subtraction, multiplication, division, and composition).
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3. Trigonometry: Precalculus includes studying the basic trigonometric functions (sine, cosine, tangent, and their reciprocals), as well as the unit circle, right triangle definitions, and periodicity. Understanding the graphs of trigonometric functions, identities (like Pythagorean identities), and solving trigonometric equations are key skills.
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5. Polynomials and Rational Functions: Precalculus covers how to work with polynomials, including factoring, solving polynomial equations, and finding roots using the Rational Root Theorem and synthetic division. Rational functions are analyzed for their domains, asymptotes, and graphing behavior.
6. Sequences and Series: This involves understanding arithmetic and geometric sequences, as well as series and their summations. Concepts like the nth term of a sequence and the sum of a series, including infinite series, are also part of precalculus.
7. Limits: While limits are a core calculus concept, precalculus introduces the idea of approaching values and understanding how functions behave near certain points. Basic limit laws and their application to functions are explored.
8. Conic Sections: This includes the study of the geometric shapes formed by the intersection of a plane and a cone—circles, ellipses, parabolas, and hyperbolas. Students learn their equations, graphing, and applications.
9. Systems of Equations and Inequalities: Students learn methods for solving linear and nonlinear systems, such as substitution, elimination, and graphical methods. Additionally, solving and graphing inequalities is a key skill.
10. Complex Numbers: Precalculus introduces complex numbers (in the form , where is the imaginary unit), operations with complex numbers, and their geometric representation in the complex plane.
Precalculus acts as a bridge between algebra, trigonometry, and calculus, and mastering these key concepts ensures a smoother transition to higher-level mathematical topics like calculus.
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The topic "Preliminaries and Foundations of Calculus" typically covers the essential concepts and tools needed to understand and study calculus. ...
The topic "Preliminaries and Foundations of Calculus" typically covers the essential concepts and tools needed to understand and study calculus. These foundational ideas lay the groundwork for more advanced topics in calculus and include the following key areas:
1. Functions and Graphs:
A function is a relationship between a set of inputs (domain) and a set of possible outputs (range), where each input is related to exactly one output. Understanding the concept of a function is crucial, as calculus primarily deals with functions and their properties.
Graphing functions helps in visualizing their behavior, such as identifying limits, continuity, and asymptotes.
2. Limits and Continuity:
The concept of a limit is central to calculus, describing the behavior of a function as the input approaches a particular value.
Continuity refers to whether a function behaves smoothly without breaks or jumps in its graph.
The notion of limits is foundational for defining derivatives and integrals.
3. Sequences and Series:
A sequence is an ordered list of numbers, and a series is the sum of the terms of a sequence.
Convergence of sequences and series plays an important role in understanding the behavior of functions at infinity or as they approach certain values.
4. Real Numbers and Algebra:
Understanding the real number system (including rational and irrational numbers) and basic algebraic operations are important for solving problems in calculus.
Concepts such as inequalities, powers, exponents, and polynomials are frequently used in calculus.
5. Rates of Change:
The rate of change of a function, such as velocity or growth rate, is often studied in calculus.
This leads to the concept of the derivative, which is the primary tool for studying rates of change.
6. Derivatives:
The derivative of a function represents how the function changes as its input changes. It’s used to analyze the slope of a curve, tangents to curves, and optimization problems.
7. Integrals:
Integration is the reverse process of differentiation and is concerned with finding the area under a curve or accumulating quantities over an interval. The integral is fundamental for solving problems related to total accumulation, such as areas, volumes, and work.
8. The Fundamental Theorem of Calculus:
This theorem links differentiation and integration, showing that the two processes are essentially inverses of each other. It provides the foundation for calculating definite integrals.
Together, these preliminaries form the essential groundwork for studying more complex topics in calculus, such as differential equations, multivariable calculus, and advanced integration techniques.
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Algebra is a branch of mathematics that deals with symbols and the rules for manipulating those symbols. These symbols, often ...
Algebra is a branch of mathematics that deals with symbols and the rules for manipulating those symbols. These symbols, often represented by letters, stand for numbers or values and allow us to express relationships, patterns, and mathematical operations. The fundamental concept in algebra is to solve for unknowns, which means finding the value of a variable that satisfies an equation.
In the introductory stages of algebra, students learn basic concepts such as:
1. Variables: Symbols (like x, y, or z) that represent unknown values.
2. Expressions: Combinations of variables, constants, and operations (addition, subtraction, multiplication, and division).
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4. Operations: Arithmetic actions like addition, subtraction, multiplication, and division applied to algebraic expressions.
Introduction to Algebra lays the foundation for more advanced mathematical topics and real-world applications, where solving equations and understanding algebraic structures are essential skills. It also helps in developing logical thinking and problem-solving abilities, as algebraic principles are used to model and solve a wide range of practical problems.
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Arithmetic and Pre-Algebra are foundational areas of mathematics that introduce basic mathematical operations and prepare students for more advanced topics ...
Arithmetic and Pre-Algebra are foundational areas of mathematics that introduce basic mathematical operations and prepare students for more advanced topics like algebra and geometry.
Arithmetic involves the study of numbers and basic operations—addition, subtraction, multiplication, and division. It focuses on understanding how numbers work and how to perform calculations with them, such as adding fractions, working with decimals, and calculating percentages. These skills are essential for daily life and serve as the building blocks for more complex mathematical concepts.
Pre-Algebra acts as a bridge between arithmetic and algebra, introducing students to the concepts and skills needed to understand algebraic thinking. It involves learning about variables, expressions, and simple equations. Students also explore patterns, ratios, proportions, and basic geometric principles. Pre-Algebra emphasizes understanding how to manipulate numbers and variables to solve problems and begin working with unknowns, setting the stage for more advanced algebraic concepts.
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Introduction to Variables and Expressions
The topic of Introduction to Variables and Expressions is a foundational concept in algebra that introduces ...
Introduction to Variables and Expressions
The topic of Introduction to Variables and Expressions is a foundational concept in algebra that introduces students to the idea of using symbols, typically letters, to represent unknown or variable quantities. It helps students understand how to express mathematical relationships in a more general way, moving beyond specific numbers to abstract thinking.
A variable is a symbol, often a letter like x, y, or z, that stands for an unknown value or can represent any number within a certain context. Variables allow us to write formulas, equations, and relationships that are true for many different situations, not just one specific value.
An expression is a combination of variables, numbers, and mathematical operations (such as addition, subtraction, multiplication, and division) that represents a value. For example, the expression 3x + 5 represents a value that depends on the value of x. The goal in learning about expressions is to understand how to manipulate and simplify them, and eventually solve for unknown variables in equations.
In this introduction, students also learn the basic principles of working with expressions, such as:
1. Combining like terms (terms with the same variable).
2. Evaluating expressions by substituting values for the variables.
3. Understanding operations that can be performed on variables and constants.
Mastering variables and expressions is a critical step toward solving more complex algebraic problems and forms the basis for understanding equations and more advanced algebra topics.
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Pearson Edexcel
Level 3 GCE
Wednesday 13 May 2020
Paper Reference 8MA0/01
Solution with graphic help to make learning visual. Stepwise solution easy to ...
Pearson Edexcel
Level 3 GCE
Wednesday 13 May 2020
Paper Reference 8MA0/01
Solution with graphic help to make learning visual. Stepwise solution easy to comprehend .
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ALL TRIGONOMETRY FORMULAS IN WELL ORDER. VERY USEFUL FORMULA SHEET. IF YOU WILL GET IT YOU WILL ABLE TO SOLVE ...
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Grade 9 Study Notes
Subjects Covered: Science, Math, and English
Science: Key topics include biology, chemistry, and physics fundamentals, with a focus ...
Grade 9 Study Notes
Subjects Covered: Science, Math, and English
Science: Key topics include biology, chemistry, and physics fundamentals, with a focus on experiments, diagrams, and problem-solving.
Math: Algebra, geometry, and trigonometry principles, including step-by-step solutions for equations and word problems.
English: Literary devices, essay writing techniques, grammar rules, and text analysis for novels and poetry studied in class.
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Algebra Formulas and Solutions
Algebra formulas are fundamental in solving equations and understanding mathematical relationships. These formulas are used to simplify ...
Algebra Formulas and Solutions
Algebra formulas are fundamental in solving equations and understanding mathematical relationships. These formulas are used to simplify and manipulate expressions, making it easier to find unknown values. Below is an overview of key algebra formulas along with detailed solutions to illustrate their application:
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Algebra Formulas Total 50+ Formulas
Algebra is a branch of mathematics that substitutes letters for numbers. An algebraic equation depicts a ...
Algebra Formulas Total 50+ Formulas
Algebra is a branch of mathematics that substitutes letters for numbers. An algebraic equation depicts a scale, what is done on one side of the scale with a number is also done to either side of the scale. The numbers are constants. Algebra also includes real numbers, complex numbers, matrices, vectors and much more. X, Y, A, B are the most commonly used letters that represent algebraic problems and equations.
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OCR 2024 ...
OCR 2024
GCSE Mathematics
J560/06 Paper 6 (Higher Tier)
With Marking Scheme Merged
MATHEMATICS
Oxford Cambridge and RSA
Monday 10 June 2024 – Morning
GCSE (9–1) Mathematics
J560/06 Paper 6 (Higher Tier)
Time allowed: 1 hour 30 minutes
You must have:
• the Formulae Sheet for Higher Tier (inside
this document)
You can use:
• a scientific or graphical calculator
• geometrical instruments
• tracing paper
*
J
H
5
6
0
0
6
*
Please write clearly in black ink. Do not write in the barcodes.
Centre number
First name(s)
Last name
INSTRUCTIONS
Candidate number
• Use black ink. You can use an HB pencil, but only for graphs and diagrams.
• Write your answer to each question in the space provided. You can use extra paper if
you need to, but you must clearly show your candidate number, the centre number
and the question numbers.
• Answer all the questions.
• Where appropriate, your answer should be supported with working. Marks might
be given for using a correct method, even if your answer is wrong.
• Use the r button on your calculator or take r to be 3.142 unless the question says
something different.
INFORMATION
• The total mark for this paper is 100.
• The marks for each question are shown in brackets [ ].
• This document has 20 pages.
ADVICE
• Read each question carefully before you start your answer.
2
1 Below are six graphs, numbered 1 to 6, that show different relationships between x and y.
Graph 1 Graph 2 Graph 3
y y y
O
x O
x O
x
Graph 4 Graph 5 Graph 6
y y y
O
x O
x O
x
For each description below, write down the number of the graph that best represents
the relationship between x and y.
x: temperature in °C
y: temperature in °F, where y = 1.8x + 32. Graph ............................
x: average speed when running 200 m
y: time taken to run 200 m. Graph ............................
x: mass of a solid object made from clay
y: volume of the same solid object. Graph ............................
[3]
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OCR 2024 ...
OCR 2024
GCSE Mathematics
J560/05 Paper 5 (Higher Tier)
With Marking Scheme Merged
MATHEMATICS
Oxford Cambridge and RSA
Monday 3 June 2024 – Morning
GCSE (9–1) Mathematics
J560/05 Paper 5 (Higher Tier)
Time allowed: 1 hour 30 minutes
You must have:
• the Formulae Sheet for Higher Tier (inside
this document)
You can use:
• geometrical instruments
• tracing paper
Do not use:
• a calculator
*
J
H
5
6
0
0
5
*
Please write clearly in black ink. Do not write in the barcodes.
Centre number
First name(s)
Last name
INSTRUCTIONS
Candidate number
• Use black ink. You can use an HB pencil, but only for graphs and diagrams.
• Write your answer to each question in the space provided. If you need extra space use the
lined pages at the end of this booklet. The question numbers must be clearly shown.
• Answer all the questions.
• Where appropriate, your answer should be supported with working. Marks might
be given for using a correct method, even if your answer is wrong.
INFORMATION
• The total mark for this paper is 100.
• The marks for each question are shown in brackets [ ].
• This document has 20 pages.
ADVICE
• Read each question carefully before you start your answer.
2
1 Work out.
1.2 ' 0.03
........................................................... [2]
2 Kai has these four number cards.
0
2
5
9
Kai takes two of the cards at random without replacement and finds the positive difference
between the two numbers.
(a) Complete the table to show all of the possible differences.
First card
Difference 0 2 5 9
0 2 5 9
2 2 3
Second
card
5
5
9
9
[2]
(b) Find the probability that Kai takes two cards with a difference that is an even number or a
factor of 10.
(b) ..........................
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OCR 2024 ...
OCR 2024
GCSE Mathematics
J560/04 Paper 4 (Higher Tier)
With Marking Scheme Merged
MATHEMATICS
Oxford Cambridge and RSA
Thursday 16 May 2024 – Morning
GCSE (9–1) Mathematics
J560/04 Paper 4 (Higher Tier)
Time allowed: 1 hour 30 minutes
You must have:
• the Formulae Sheet for Higher Tier (inside
this document)
You can use:
• a scientific or graphical calculator
• geometrical instruments
• tracing paper
H
0 *
*
J
5
6
0
2
1 Work out.
3 19.54 -
182 1.45
Write your answer correct to 4 significant figures.
.......................................................... [3]
2 The diagram shows a triangle and a trapezium.
9 cm Not to scale
6.4 cm
18 cm
Show that they have the same area.
4.8 cm
15 cm
[3]
© OCR 2024
3
3 Four numbers are written, in ascending order, as algebraic expressions.
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Oxford Cambridge and RSA
Monday 10 June 2024 – Morning
GCSE (9–1) Mathematics
J560/03 Paper ...
Oxford Cambridge and RSA
Monday 10 June 2024 – Morning
GCSE (9–1) Mathematics
J560/03 Paper 3 (Foundation Tier)
Time allowed: 1 hour 30 minutes
You must have:
• the Formulae Sheet for Foundation Tier (inside
this document)
You can use:
• a scientific or graphical calculator
• geometrical instruments
• tracing paper
*
J
F
5
6
0
0
3
*
Please write clearly in black ink. Do not write in the barcodes.
Centre number
First name(s)
Last name
INSTRUCTIONS
Candidate number
• Use black ink. You can use an HB pencil, but only for graphs and diagrams.
• Write your answer to each question in the space provided. If you need extra space use the
lined pages at the end of this booklet. The question numbers must be clearly shown.
• Answer all the questions.
• Where appropriate, your answer should be supported with working. Marks might
be given for using a correct method, even if your answer is wrong.
• Use the r button on your calculator or take r to be 3.142 unless the question says
something different.
INFORMATION
• The total mark for this paper is 100.
• The marks for each question are shown in brackets [ ].
• This document has 20 pages.
ADVICE
• Read each question carefully before you start your answer.
2
1 (a) Write down the mathematical name of this solid.
Choose from the list in the box.
cone cube cylinder prism sphere
(a) .......................................................... [1]
(b) The diagram shows a cuboid.
7 cm
10 cm
5 cm
(i) How many edges does the cuboid have?
(b)(i) .......................................................... [1]
(ii) The cuboid has dimensions 10 cm, 7 cm and 5
cm. Work out the volume of the cuboid.
(ii) .................................................. cm3 [2]
© OCR 2024
3
2 This table shows the weight of each ingredient used to make 5.5 kg of concrete.
Complete this table to show the weight of each ingredient used to make 44 kg of the
same concrete.
Ingredient Weight (kg) Weight (kg)
Cement 1 8
Gravel 3
Sand 1.5
Total weight 5.5 44
[2]
3 (a) Use your calculator to work out.
(i) 64
(a)(i) .......................................................... [1]
(ii) 529
(ii) ........
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OCR 2024 ...
OCR 2024
GCSE Mathematics
J560/02 Paper 2 (Foundation Tier)
With Marking Scheme Merged
MATHEMATICS
Oxford Cambridge and RSA
Monday 3 June 2024 – Morning
GCSE (9–1) Mathematics
J560/02 Paper 2 (Foundation Tier)
Time allowed: 1 hour 30 minutes
You must have:
• the Formulae Sheet for Foundation Tier (inside
this document)
You can use:
• geometrical instruments
• tracing paper
Do not use:
• a calculator
*
J
F
5
6
0
0
2
*
Please write clearly in black ink. Do not write in the barcodes.
Centre number
First name(s)
Last name
INSTRUCTIONS
Candidate number
• Use black ink. You can use an HB pencil, but only for graphs and diagrams.
• Write your answer to each question in the space provided. If you need extra space use the
lined pages at the end of this booklet. The question numbers must be clearly shown.
• Answer all the questions.
• Where appropriate, your answer should be supported with working. Marks might
be given for using a correct method, even if your answer is wrong.
INFORMATION
• The total mark for this paper is 100.
• The marks for each question are shown in brackets [ ].
• This document has 20 pages.
ADVICE
• Read each question carefully before you start your answer.
2
1 Work out.
(a) 6.3 + 4.7
(a) ........................................................... [1]
(b) £4.50 - £0.27
(b) £ ......................................................... [1]
2 Work out.
(a) -7-4
(a) ........................................................... [1]
(b) -42'6
(b) ........................................................... [1]
(c) (-4) 2
(c) ..........................................
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OCR 2024 ...
OCR 2024
GCSE Mathematics
J560/01 Paper 1 (Foundation Tier)
With Marking Scheme Merged
MATHEMATICS
Oxford Cambridge and RSA
Thursday 16 May 2024 – Morning
GCSE (9–1) Mathematics
J560/01 Paper 1 (Foundation Tier)
Time allowed: 1 hour 30 minutes
You must have:
• the Formulae Sheet for Foundation Tier (inside
this document)
You can use:
• a scientific or graphical calculator
• geometrical instruments
• tracing paper
*
J
F
5
6
0
0
1
*
Please write clearly in black ink. Do not write in the barcodes.
Centre number
First name(s)
Last name
INSTRUCTIONS
Candidate number
• Use black ink. You can use an HB pencil, but only for graphs and diagrams.
• Write your answer to each question in the space provided. If you need extra space use the
lined page at the end of this booklet. The question numbers must be clearly shown.
• Answer all the questions.
• Where appropriate, your answer should be supported with working. Marks might
be given for using a correct method, even if your answer is wrong.
• Use the r button on your calculator or take r to be 3.142 unless the question says
something different.
INFORMATION
• The total mark for this paper is 100.
• The marks for each question are shown in brackets [ ].
• This document has 20 pages.
ADVICE
• Read each question carefully before you start your answer.
2
1 Write down an example of each of the following.
(a) An even number.
(a) .......................................................... [1]
(b) A multiple of 7.
(b) .......................................................... [1]
(c) A cube number between 20 and 220.
(c) .......................................................... [1]
(d) A prime number less than 10.
(d) .......................................................... [1]
2 Here is a list of five numbers.
10 12 4 3 6
(a) Write down the median.
(a) .......................................................... [1]
(b) A sixth number is added to the list.
The range of the six numbers is 15.
Work out a possible value for the sixth number.
(b) .......................................................... [
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for math notes for 12th class:
*Comprehensive Math Notes for 12th Class - CBSE/ICSE/State Boards*
Are you struggling to keep up with ...
for math notes for 12th class:
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This note provides a detailed explanation of the method of elimination, offering step-by-step guidance to help you grasp the concept ...
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Master the fundamentals of mathematics with this comprehensive collection of essential formulas from Grade 8 to Grade 12. This guide ...
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Boost your understanding and performance in the Class 12 Integration chapter with these well-organized, comprehensive notes and carefully curated important ...
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Master Force and Laws of Motion with these detailed, exam-ready notes covering Newton’s Laws, types of forces, friction, momentum, and ...
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This is notes of class 10 chapter probability and the topic that i include is very important for exam purposes. ...
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This is notes of class 10 chapter probability and the topic that i include is very important for exam purposes. ...
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With this file, you can exercise and prepare for your 1st year in uni math exam 💪🏻.
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These are just a few example of important mcq for class 10 maths. Make sure to practice and review all ...
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Con questo file vi potete esercitare e preparare all'esame di matematica 💪🏻. Ho segnato la durata dell'esame, così potrete vedere ...
Con questo file vi potete esercitare e preparare all'esame di matematica 💪🏻. Ho segnato la durata dell'esame, così potrete vedere se ci state con i tempi ⏳! Ho anche messo le soluzioni, così potrete controllare le vostre risposte in tutta comodità :)
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My notes help you to learn easily any chapter
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These are hand written notes and all the formulas are mentioned in the sheet
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Notes about computer science and it covers parts of cyber security
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**Title:** Differential Equations: Concepts, Types, and Applications
**Description:**
Explore the fundamentals of differential equations, including their types, methods ...
**Title:** Differential Equations: Concepts, Types, and Applications
**Description:**
Explore the fundamentals of differential equations, including their types, methods of solving them, and real-world applications in physics, engineering, and economics. Learn about ordinary and partial differential equations, initial and boundary value problems, and various solution techniques.
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Understand the key concepts of permutation and combination, their differences, and their applications in probability, counting principles, and real-life problem-solving. ...
Understand the key concepts of permutation and combination, their differences, and their applications in probability, counting principles, and real-life problem-solving. Learn important formulas, shortcuts, and tricks to solve complex problems efficiently
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This study guide is a complete and well-organized resource for anyone taking Math 402 or reviewing key topics in probability ...
This study guide is a complete and well-organized resource for anyone taking Math 402 or reviewing key topics in probability and statistics. It covers a wide range of problems, each with clear, step-by-step solutions that explain the reasoning and math behind every answer. Topics include everything from roulette bets and dice games to exponential waiting times, Poisson processes, and size-biased sampling. The guide walks through each concept carefully—using formulas, examples, and detailed explanations—so you can really understand how and why things work. You’ll find material on expected values, variances, conditional probabilities, memoryless properties, and more. It also connects theory to practical situations, like server times, machine reliability, and how traits show up in populations. Whether you're studying for an exam, brushing up on core concepts, or just need help working through tough problems, this guide will help you learn faster and feel more confident. Plus, with its clear structure and thorough explanations, it's easy to follow and a great resource to refer back to.
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A study guide for graduate-level theoretical neuroscience using Peter Dayan and L. F. Abbott's first edition of "Theoretical Neuroscience: Computational ...
A study guide for graduate-level theoretical neuroscience using Peter Dayan and L. F. Abbott's first edition of "Theoretical Neuroscience: Computational and Mathematical Modeling of Neural Systems". This study guide covers topics in Chapter 5: Model Neurons I: Neuroelectronics.
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These notes break down how translating and overlapping subspaces helps us understand quotient spaces like V/U, and how linear maps ...
These notes break down how translating and overlapping subspaces helps us understand quotient spaces like V/U, and how linear maps behave when we factor out the null space. They also show how to represent linear transformations with matrices and explain why the quotient space V/ker(T) ends up looking just like the image of T.
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covers eigenvalues, minimal polynomials, and operator theory
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Perfect for graduate-level students who are looking for help in their statistical geography courses. Cluster analysis is applied to U.S. ...
Perfect for graduate-level students who are looking for help in their statistical geography courses. Cluster analysis is applied to U.S. counties to study their geographical political tendencies in groups. This is part of an exercise offered in Acevedo's "Data Analysis and Statistics for Geography, Environmental Science, and Engineering" (2012).
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a short guide into writing proofs involving divisibility, the real numbers, and more. Some examples are given.
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Notes taken via Notepad. Discusses a linearized logistic map, its interval of convergence, perturbation analysis, and more.
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In this notes you will get everything related to IIT , NEET syllabus of every subject . You will get ...
In this notes you will get everything related to IIT , NEET syllabus of every subject . You will get handbook also .
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Here you will get notes related to class 11th syllabus . You will get notes related to IIT, NEET syllabus ...
Here you will get notes related to class 11th syllabus . You will get notes related to IIT, NEET syllabus at a very cheap price .
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Atoms, physics of class 12th physics
Best notes of physics by bharat vaishnav sir
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NOTES for students handwritten ICSE grade 9 board studying notes. Many subjects available like BIO, PHY, ENG, MATH, KAN, HIS, ...
NOTES for students handwritten ICSE grade 9 board studying notes. Many subjects available like BIO, PHY, ENG, MATH, KAN, HIS, and COMPUTER SCIENCE
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Here it has a key points overview of pythagorus theorem it is useful to know about the working of pythagorus ...
Here it has a key points overview of pythagorus theorem it is useful to know about the working of pythagorus theorem
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Here it has a key point and over view of pythagorus theorem it is useful to know about the working ...
Here it has a key point and over view of pythagorus theorem it is useful to know about the working of pythagorus theorem
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This document provides revision that is targeted for students achieving to do their GCSEs. This document includes information about the ...
This document provides revision that is targeted for students achieving to do their GCSEs. This document includes information about the characters and themes within the Woman In Black.
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Master Convergence in Mathematics – Problem-Solving Guide with Detailed Solutions
Unlock the secrets of convergence with this expertly crafted PDF, perfect ...
Master Convergence in Mathematics – Problem-Solving Guide with Detailed Solutions
Unlock the secrets of convergence with this expertly crafted PDF, perfect for students aiming to excel in exams or strengthen their understanding of real analysis and calculus. This resource includes a wide range of carefully selected problems on sequence and series convergence, complete with step-by-step solutions and clear explanations.
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This pdf consists of maths problems along with its solutions.
Do check it out and grab the easy method to solve ...
This pdf consists of maths problems along with its solutions.
Do check it out and grab the easy method to solve quickly.
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All the important key terms are noted down
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Propositional logic uses statements (propositions) that are either true or false.
Logic gates are physical or virtual devices that implement Boolean ...
Propositional logic uses statements (propositions) that are either true or false.
Logic gates are physical or virtual devices that implement Boolean functions—the same kind of logic that propositional logic uses.
So, propositional logic gates are electronic representations of logical operations (such as AND, OR, NOT) on propositions.
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This document provides an introduction to computer studies, including definitions, terminology, uses, and classifications of computers. It defines a computer ...
This document provides an introduction to computer studies, including definitions, terminology, uses, and classifications of computers. It defines a computer as an electronic machine that processes, stores, and retrieves information. A computer consists of hardware and software. It then describes the main parts of a computer including the central processing unit, keyboard, monitor, and mouse. The document also outlines the five classifications of computers from microcomputers to supercomputers and describes their distinguishing characteristics.
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The BEST ITIL Foundation Study Notes on the web - for FREE! Study with our comprehensive ITIL Foundation sample study ...
The BEST ITIL Foundation Study Notes on the web - for FREE! Study with our comprehensive ITIL Foundation sample study notes and pass your ITIL exam! These notes have been updated from ITIL v3 to the new ITIL 2011 edition.
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Math Quiz for High school students..... contains Algebra, Geometry etc
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