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If the input symbols to a communication channel represent the outcomes of a chance event on which bets are available at odds consistent with their probabilities (i.e., "fair" odds), a gambler can use the knowledge given him by the received symbols to cmlse his money to grow exponentially. The maximum exponential rate of growth of the gambler's capital is equal to the rate of transmission of information over the channel. This result is generalizedto include the case of arbitrary odds. Thu» wedoi:10.1109/tit.1956.1056803 fatcat:abbpr3s3yfaqlcdzyxdjnpzhqq