Sujet : Re: Hello!
De : invalid (at) *nospam* example.invalid (Moebius)
Groupes : sci.mathDate : 19. Jan 2025, 15:28:03
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vmj25j$293ug$1@dont-email.me>
References : 1 2 3 4 5
User-Agent : Mozilla Thunderbird
Am 19.01.2025 um 12:37 schrieb Richard Hachel:
Le 19/01/2025 à 12:04, Moebius a écrit :
Am 19.01.2025 um 08:51 schrieb Richard Hachel:
>
But nevertheless, I continue to certify that there is an extremely fine mathematical error [...]
>
Because as long as we do not know what i is worth, which can be BOTH equal to 1 or -1 in this imaginary mathematics, we [...]
>
i is neither 1 nor -1.
I consider (I could be wrong) that this is a case where we do not know what i is worth, and we hesitate between two values.
No, we don't.
Complex numbers can be defined as (ordered) pairs of real numbers.
Then
i := (0, 1) .
Hence i =/= 1 and i =/= -1.
Simple as that.
See:
https://www.quora.com/Are-complex-numbers-the-same-as-ordered-pairs-of-real-numbers-or-is-there-more-to-them-than-that-Is-there-anything-that-we-can-do-with-complex-numbers-that-its-impossible-to-do-with-real-numbersand:
https://www.math.uh.edu/~etgen/ComplexNos.pdf.
.
.
Hello!
Re: Hello!
