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Subject: Re: Equation complexe
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Le 26/02/2025 à 20:13, Richard Hachel a écrit :
> Le 26/02/2025 à 19:56, Python a écrit :
>> Le 26/02/2025 à 19:50, Richard Hachel a écrit :
>>> Le 26/02/2025 à 19:23, Python a écrit :
>>> 
>>>> i is the equivalence class of the polynomial X in the quotient ring [actually a 
>>>> field] R[X]/(X^1+1).
>> 
>>>> From that you can deduce that i^2 = -1.
>>> 
>>>  Yes.
>> 
>> Well... Could you show it? I can.
> 
> Can you show what i is the equivalence class of the polynomial X in the quotient 
> ring [actually a field] R[X]/(X^4+1)?

This is a *definition* and definitely NOT you lie about "posing than i^2 = 
-1 as a definition". 

The point is to show that this definition is consistent (it is) and to 
show that, then, i^2 = -1.

Again: you wrote "Yes". So can you show it? Or will you chicken out as 
usual?