关于Lambert W函数作为x·log(x)的逆函数的一些反思

2014 Information Theory and Applications Workshop (ITA) Pub Date : 2014-04-24 DOI:10.1109/ITA.2014.6804273

U. Tamm

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引用次数: 8

摘要

Lambert函数W满足W(y)·eW(y) = y，选择y = log(x)，它可以用来求函数f (x) = x·log(x)的逆，这在讨论的问题中是很有意义的。简要介绍了Lambert W函数在信息论中的进一步应用。

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Some refelections about the Lambert W function as inverse of x · log(x)

The Lambert W function fulfills W(y)· eW(y) = y. With the choice y = log (x) it can hence be applied to invert the function f (x) = x · log(x), which is of some interest in the problems discussed. Further applications of the Lambert W function in information theory are briefly surveyed.

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2014 Information Theory and Applications Workshop (ITA)

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