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Measuring the Shannon entropy of an ordered sequence

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#combinatorics #information-theory #entropy #biology #music-theory
994
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Solving Coin-Weighing Problem (81 Coins, 1 Fake) Using Information Theory

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#discrete-mathematics #stochastic-processes #information-theory #stochastic-analysis #entropy
60
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Expectation of a random cross entropy

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#random-variables #entropy
77
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How to compare the entropy of copulas?

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#statistics #probability-distributions #information-theory #entropy #copula
24
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Does information entropy with binary options reduce to the simple frequency count?

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#algebra-precalculus #statistics #entropy
76
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Doubts on some definition of Shannon's entropy notion

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#probability #information-theory #entropy
125
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Mapping randomness to binary

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#probability #combinatorics #entropy
52
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Poincaré serie and partition functions

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#sequences-and-series #riemannian-geometry #group-actions #entropy #statistical-mechanics
274
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Shuffle a poker deck between 4 players, with least required entropy

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#combinatorics #algorithms #random #entropy #card-games
284
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Topological entropy is finite?

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#dynamical-systems #entropy #topological-dynamics
162
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Information lost in going from n-dice rolls to the sum of their faces?

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#expected-value #information-theory #dice #entropy
57
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Let $Z\sim N(0, 1)$ then $E(f(Z))\le E(f(X))$ for any convex $f$ and any $X$ with unit variance.

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#probability-theory #normal-distribution #entropy
440
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Stirling's approximation fractional error

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#statistical-mechanics #entropy
1.3k
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Sum of squared probability distribution $\sum_c p_c^2$ is a measure of uncertainty?

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#probability #statistics #information-theory #entropy
162
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Shannon entropy of languages

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#probability #statistics #information-theory #formal-languages #entropy

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