POV-Ray : Newsgroups : povray.off-topic : Iterated derivatives : Re: Iterated derivatives Server Time
5 Sep 2024 07:26:25 EDT (-0400)
  Re: Iterated derivatives  
From: Roman Reiner
Date: 16 Nov 2009 19:35:00
Message: <web.4b01ef0ff50de6a9e9f1927a0@news.povray.org>
Neeum Zawan <m.n### [at] ieeeorg> wrote:
> On 11/16/09 10:21, Darren New wrote:
> > Invisible wrote:
> >> Just for giggles: how many meanings can you find for "normal"?
> >
> > Sure. But even differences between things like
> >
> > sin x^-1 vs sin^-1 x
> >
> > where the two "^-1" mean entirely different operations. [/snip]

It's actually the same operation, you are just inverting different objects with
respect to different operations. In the first case you are inverting a number
(x) with respect to multiplication, in the second case you are inverting a
function (sin) with respect to composition.
It's similar to how sin and sin(x) are not the same thing. sin is a function and
sin(x) is the value of said function at the number x.

Mindblow anyone? :)

Regards Roman


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