Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the entropy power inequality is a result in probability theory that relates to so- called "entropy power" of random variables. It shows that the entropy power of suitably well-behaved random variables is a superadditive function. The entropy power inequality was proved in 1948 by Claude Shannon in his seminal paper "A Mathematical Theory of Communication". Shannon also provided a sufficient condition for equality to hold; Stam (1959) showed that the condition is in fact necessary.

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