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Subject: Re: Puissance complexe
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Date: Tue, 21 Dec 21 00:01:52 +0000
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From: Julien Arlandis <julien.arlandis@gmail.com>
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Le 20/12/2021 à 23:52, Samuel DEVULDER a écrit :
> Le 20/12/2021 à 23:01, Julien Arlandis a écrit :
> 
>> sqrt(-1) = exp(i*(k+1/2)*pi) = {i, -i}               [1]
>> -sqrt(-1) = -exp(i*(k+1/2)*pi) = {-i, i}   
>> Et donc doit on en conclure que sqrt(-1) = -sqrt(-1) ?
> 
> En tant que fonction multivaluée je dirais que oui (même ensemble de 
> valeurs produites en sorties.)

Mézalors dans ce cas :
2 * sqrt(-1) = 0
sqrt(-1) = 0
i = 0