Re: Division of two complex numbers

Le 20/01/2025 à 19:23, Richard Hachel  a écrit :

Le 20/01/2025 à 19:10, Python a écrit :

Le 20/01/2025 à 18:58, Richard Hachel  a écrit :

Mathematicians give:
 z1/z2=[(aa'+bb')/(a'²+b'²)]+i[(ba'-ab')/(a'²+b'²)]
 It was necessary to write:
z1/z2=[(aa'-bb')/(a'²-b'²)]+i[(ba'-ab')/(a'²-b'²)]

 

I've explained how i is defined in a positive way in modern algebra. i^2 = -1 is not a definition. It is a *property* that can be deduced from a definition of i.

  That is what I saw.
  Is not a definition.   It doesn't explain why.
 We have the same thing with Einstein and relativity.
 [snip unrelated nonsense about your idiotic views on Relativity]

It is clear that i²=-1, but we don't say WHY. It is clear however that if i is both 1 and -1 (which gives two possible solutions) we can consider its square as the product of itself by its opposite, and vice versa.

I've posted a definition of i (which is NOT i^2 = -1) numerous times. A "positive" definition as you asked for.
You really think that what you decide to ignore deliberately does not exist?
Act like a decent human being, Richard, not as a clown.