Re: How? ? ?

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?
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https://www.youtube.com/watch?v=XZriBHTNPw0
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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.
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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 :
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±\sqrt{2}, ±i\sqrt{2}
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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.