Entropy Rate of an Information Source

A Markov chain generates symbols. The entropy rate H = -Σ πᵢ Σⱼ Pᵢⱼ log₂ Pᵢⱼ measures bits per symbol. Adjust transition probabilities and watch how order vs randomness changes the information content.

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Entropy rate (bits/sym)
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Max entropy (log₂ N)
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Relative entropy %
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Symbols generated