Re: 1+i > i

From: Robert J. Kolker (robert_kolker_at_hotmail.com)
Date: 08/15/04 

Date: Sun, 15 Aug 2004 08:19:44 GMT

mina_world wrote:

> hello.....doctor~
>
>
> (1+i)-i = 1 > 0
>
> => (1+i) > i
>
> ----------------------------
> um........of course, impossible ??
>
> i know that complex numbers can't compare about size.
>
> but this process is very plausible as paradox.
>
> i want to know the basic cause.
>
> thank you very much your advice.

You cannot linearly order the complex numbers but you can compare their
absolute magnitudes. Hence |1 + i| > |i| = 1. In fact |1 + i| = sqrt(2).
Locate the numbers on the complex plane to see why.

Bob Kolker

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