POV-Ray : Newsgroups : povray.general : Re: Food for thought... : Re: Food for thought... Server Time
11 Aug 2024 13:13:05 EDT (-0400)
  Re: Food for thought...  
From: Jerome M  BERGER
Date: 7 Sep 1999 16:58:02
Message: <37D57C5C.AF827271@enst.fr>
Lance Birch wrote:
> 
> Or, you could just use the dandy world of Complex Numbers :)
> 
> By definition i = sqrt(-1)
> 
	Not quite, i is just *a* number whose square is -1. sqrt(-1) is
undefined since the definition of sqrt is as follows: "sqrt is the
function wich to each *positive real* number x associates the *positive*
real number y such that y*y=x". You can't define *the* square root of a
negative (or complex non real positive) number because there are two and
no good way to differentiate them (you can always design a way, but it
won't have the interesting properties with regard to addition and
multiplication that real number ordering has).

-- 
*******************************

* they'll tell you what can't * mailto:ber### [at] inamecom
* be done and why...          * http://www.enst.fr/~jberger
* Then do it.                 *
*******************************


Post a reply to this message

Copyright 2003-2023 Persistence of Vision Raytracer Pty. Ltd.