In the biased coin case, mapping H to 0 and T to 1 wasted 5. (The story is set in 1957, well before global warming was a widely known phenomenon and unpredictable weather like this was something more than. Shannon's theorem says, we can't possibly do better than the entropy (with zero error), but we can do a lot worse. Alevel notes chemistry entropy and energetics entropy symbol standard entropy units of entropy entropy is description of the number of ways atoms can share. As well find out in a later section, entropy has a lot of use for chemists and physicists in determining the spontaneity. This mixture of stasis and chaosthat is, steady temperatures and unpredictable weatherevokes the concept of entropy that is central to this story, and therefore helps to set the story’s mood. H\left(X\right) \leq \mathbb\left(l \circ f\right)$ met $H\left(X\right)$ with equality - in your example where only 4.7 bits of space was needed to encode all 0/1 sequences of length 10. In modern terminology, that is, the terminology introduced by Clausius himself in 1865, we think of this equivalence-value as 'entropy', symbolized by S. Shannon's Lossless Source Coding theorem states that the expected length of any code is lower bounded by the entropy of the probability distribution over the symbols for that code:
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