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10/26/08 1:49pm

Hi, folks.

I've been bumping up against the transcendental function H^(-1)(x), the inverse of the binary Shannon entropy function:

H = -(xlogx + (1-x)log(1-x))

and now a friend of mine is trying to calculate a closed-form solution to a derivative involving the inverse function (attached).

Can Mathematica do approximations to solutions involving transcendental functions, like "solution-fitting?" I've attached his scenario as a pdf.

Attachment: derivative_binary.pdf, URL: ,
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