Re: Division of two complex numbers

Le 21/01/2025 à 20:39, Ross Finlayson a écrit :

On 01/20/2025 03:02 AM, Richard Hachel wrote:

Division of two complex numbers.
>
Now let's set Z=(a+ib)/(a'+ib')
with
z1=a+ib
and
z2=a'+ib'
>
What becomes of Z=A+iB?
>
R.H.

 Like I said, division of complex numbers is under-defined.
 It's kind of like dividing by zero, about "roots of zero".

544 / 5 000
If you want to know if a chosen mathematics is consistent, it is necessary that Z=z1*z2 implies that z1=Z/z2 and that z2=Z/z1
We notice that the mathematics of mathematicians is consistent.
Mine too.
Who relies on the best principles? It would seem that it is me.
For me, the problems posed remain true if we solve them differently, for example with statistics (see the problem of the Plougastel college); for me, the product of two orthogonal complexes is zero.
Mathematicians cannot do it.
R.H.