How is it possible to prove that Shanon entropy does not change applying any bijective function to X?
41888
How to prove that permutation and substitution ciphers satisfy H(X) = H(Y) in Shanon Entropy?
23125
Prove that there is a bijection between the set of all subsets of $X$, $P(X)$, and the set of functions from $X$ to $\{0,1\}$.
157925
How to prove that the implicit function theorem implies the inverse function theorem?
145875
Inverse of a bijection f is equal to its derivative
19236
Intuitive reason why sampling without replacement doesnt change expectation?
137711
Alternative proof that $[\Bbb{Q}(\zeta_n) : \Bbb{Q} ]= \varphi(n)$ uses circular reasoning?
141895
Proving that a sequence is monotone
54791
Is it true or false that $\lvert P([0, 1]) \setminus P((0, 1)) \rvert > \lvert P(\mathbb{N}) \rvert$
14079
On the proof that every positive continuous random variable with the memoryless property is exponentially distributed
123132
Counterexample for a non-measurable function?
94058
Applying the Berry-Esseen theorem to non-identically distributed summands
139622
Generator of rational functions unchanged under $\sigma(X) = X + 1$
52798
Finding counterexamples: bijective continuous functions that are not homeomorphisms
36485
$H_n(X,A) \not \approx \tilde{H}_n(X/A)$
92839
Problem about entropy
37951
proof detail concerning bijection between a set and its power set
67452
Prove sum of unindependent Gaussian random variable is still Gaussian