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From: Paul Rubin <no.email@nospam.invalid>
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Subject: Re: Beazley's Problem
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ram@zedat.fu-berlin.de (Stefan Ram) writes:
>   Nobody up the thread was claiming it was functional. And you can
>   totally implement anything in an imperative or functional style.

Yeah the confusion was because I posted a link to "Why FP Matters",
which discusses these sorts of numerical hacks.

> def f_prime(x: float) -> float:
>     return 2*x

You might enjoy implementing that with automatic differentiation (not to
be confused with symbolic differentiation) instead.

http://blog.sigfpe.com/2005/07/automatic-differentiation.html