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Title: Entropy - Key Concepts
Description: 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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Entropy

11/04/2020, 23)14

Entropy is the measure of the randomness or disorder in a system
Different areas have a different definition of entropy depending on the area:
Thermodynamics: Boltzmann entropy
Information Theory: Shannon entropy
Quantum information theory: Von Neumann entropy

Boltzmann Entropy
Consider a gas in a volume
The particles of the gas can move randomly in a number of W different configurations
the entropy is equal to S = k ln(W)
k = Boltzmann constant which is 1
...
g
...
159
so according to boltzmann, the particle has an associated entropy of:
k ln(W) = 5
...
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Entropy

11/04/2020, 23)14

if p(x) is unifrom, the Shannon entropy is just log2|X| where |X| is the size of the alphabet (26 in the matrix example)

file:///Users/billymacleod/Desktop/entropy/Entropy
Title: Entropy - Key Concepts
Description: 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.