Re: Equation complexe

Le 27/02/2025 à 16:42, Richard Hachel a écrit :

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

This is obviously contradictory. (-1)*(-1) IS (i^2)*(i^2) if i^2 = -1. End of Story.

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.

In complex numbers it is FALSE that i = -1 and also FALSE that i(-1/2) = -1 (i^(-1/2) = 1/sqrt(i) = 1/sqrt(2) - i/sqrt(2)) (considering principal value
only, there is another which is the opposite)
Stop making up stuff, you are not only an idiot but also a liar.