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From: Moebius <invalid@example.invalid>
Newsgroups: sci.math
Subject: Re: New way of dealing with complex numbers
Date: Sat, 8 Mar 2025 23:55:20 +0100
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Am 08.03.2025 um 23:47 schrieb Moebius:
> Am 08.03.2025 um 14:32 schrieb efji:
>> Le 08/03/2025 à 14:18, Richard Hachel a écrit :
> 
>> Associativity is MANDATORY to be able to write something like i^4 = 
>> i*i*i*i.
>>
>> For a non associative operator, i^4 means NOTHING.
> 
> Oh, i^(n+1) just might mean (i^n) * i (with n e IN).
> 
> [And i^0 = 1.]
> 
> Then: i^4 = ((i*i)*i)*i.
> 
> [Hint: recursive definition:
>   x^0 = 1
>   x^(n+1) = x^n * x   (for all n e IN)]

     x^0 = 1
     x^(n+1) = (x^n) * x   (for all n e IN)]

.... if you like.