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Date: Sat, 2 Nov 2013 14:37:45 -0700
Subject: Re: Algorithm that makes maximum compression of completly diffused data.
From: Mark Janssen <dreamingforward@gmail.com>
To: Tim Roberts <timr@probo.com>
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Xref: csiph.com comp.lang.python:58349

> Let me try to get you to understand WHY what you say is impossible.  Let's
> say you do have a function f(x) that can produce a compressed output y for
> any given x, such that y is always smaller than x.  If that were true, then
> I could call f() recursively:
>     f(f(...f(f(f(f(f(x)))))...))
> and eventually the result get down to a single bit.  I hope it is clear
> that there's no way to restore a single bit back into different source
> texts.

Hey, that's a nice proof!

Cheers,

Mark Janssen