Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail
From: efji <efji@efi.efji>
Newsgroups: sci.math
Subject: Re: How? ? ?
Date: Wed, 2 Apr 2025 15:14:58 +0200
Organization: A noiseless patient Spider
Lines: 44
Message-ID: <vsjd8i$1th1c$1@dont-email.me>
References: <8ayY53o1aL2fUNz0m8yFYT0IDlI@jntp> <vsjbpk$1pm29$1@dont-email.me>
 <9BkxcJ5ewVCjoKso7k5nyQL2e1w@jntp>
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8; format=flowed
Content-Transfer-Encoding: 8bit
Injection-Date: Wed, 02 Apr 2025 15:14:58 +0200 (CEST)
Injection-Info: dont-email.me; posting-host="ce37c74cd24be704211621879d9d2d7e";
	logging-data="2016300"; mail-complaints-to="abuse@eternal-september.org";	posting-account="U2FsdGVkX19mrg0Hb7kRnA4bbwUnokqc"
User-Agent: Mozilla Thunderbird
Cancel-Lock: sha1:swJdAacn4HrNWEQ7K1lsJKv2j2Q=
In-Reply-To: <9BkxcJ5ewVCjoKso7k5nyQL2e1w@jntp>
Content-Language: fr, en-US
Bytes: 2433

Le 02/04/2025 à 15:05, Richard Hachel a écrit :
> Le 02/04/2025 à 14:49, efji a écrit :
>> Le 02/04/2025 à 14:32, Richard Hachel a écrit :
>>> How can mathematicians come up with such absurdities?
>>>
>>> https://www.youtube.com/watch?v=XZriBHTNPw0
>>>
>>
>> No mathematician would write \sqrt{i} because the symbol "\sqrt" 
>> designs the positive square root of a real number, which does not make 
>> sense in \C since it is not an ordered set and the word "positive" is 
>> a nonsense in \C.
>>
>> Anyway, "i" has 2 square roots : ±(1+i)/\sqrt{2}
>> and "-i" too : ±(1-i)/\sqrt{2}
>> Thus, the mathematically wrong expression "\sqrt{i}+\sqrt{-i}" is non 
>> univoque and could be any of these 4 values :
>>
>> ±\sqrt{2}, ±i\sqrt{2}
>>
>> You're welcome
> 
> Four possible values?
> 
> To think that Python gave us a nervous breakdown when I explained that a 
> function could have multiple roots, which was actually true.
> 
> But here, we're falling into the opposite madness.
> 
> We add two numbers, and we find four answers, which is stupid, to say 
> the least.

We don't add two numbers since \sqrt{i} is not a number because this 
notation is a nonsense ! Can you read carefully what I wrote ???

> 
> No, no, the correct answer is simply √i+√(-i)=0.

Please, once for all, save us from your shitty delirium, dumbass.



-- 
F.J.