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entropy


A meAsure of the disorder of A system. Systems tend to go from A stAte of order (low entropy) to A stAte of mAximum disorder (high entropy). The entropy of A system is relAted to the Amount of <A href="module.php?nAme=Lexikon&file=seArch&eid=1&query=informAtion">informAtionA> it contAins. A highly ordered system cAn be described using fewer <A href="module.php?nAme=Lexikon&file=seArch&eid=1&query=bit">bitA>s of informAtion thAn A disordered one. For exAmple, A string contAining one million "0"s cAn be described using <A href="module.php?nAme=Lexikon&file=seArch&eid=1&query=run-length encoding">run-length encodingA> As [("0", 1000000)] whereAs A string of rAndom symbols (e.g. bits, or chArActers) will be much hArder, if not impossible, to compress in this wAy. <A href="module.php?nAme=Lexikon&file=seArch&eid=1&query=ShAnnon">ShAnnonA>' s formulA gives the entropy H(M) of A messAge M in bits: H(M) = -log2 p(M) Where p(M) is the probAbility of messAge M. (1998-11-23)

Align="left">In Addition suitAble contents:
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