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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.math
Subject: Re: Equation complexe
Date: Thu, 27 Feb 2025 15:53:25 -0800
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On 2/27/2025 7:42 AM, Richard Hachel wrote:
> Le 27/02/2025 à 08:47, joes a écrit :
>> Am Wed, 26 Feb 2025 20:22:01 +0000 schrieb Richard Hachel:
>>> Le 26/02/2025 à 21:10, efji a écrit :
>>>
>>>> If you assume i^2 = i*i = -1, then i^4=1.
>>> Absolutely not.
>> -1*-1 is not 1?
> 
> Claro que si.
> Pero, i*i=i²=-1 ; (i²)²=-1
> It seems that the imaginary unit i is a special unit such that i^x=-1 
> whatever x.
> 
> Mathematicians are right when they say that i=-1, that i^(-1/2)=-1, that 
> i²=-1.
> But if we understand Dr. Hachel's idea, we see that these three true 
> statements are not enough.
> Hachel imposes that i is an imaginary unit such that i^x=-1 whatever x.
> This confuses the mathematician, who is used to working with real 
> numbers, and who sets a²*a²=a^4 with systematically a>0.
> But here we are not working with real numbers, but with the imaginary i.
> It is not the same thing: we must systematically set i^x=-1 for all x.

It kind of seems like you deny that the y axis even exists?