Re: Division of two complex numbers

Am 20.01.2025 23:26:19 Moebius schrieb:

Am 20.01.2025 um 23:21 schrieb Tom Bola:
 

The binomial formula is (a + b)^2 = a^2 + 2ab + b^2 it is not about
(0, 1)^2 or (a, b)^2.

 
Sure, but remember the definition of a complex number: Z = a+bi, i^2 = -1.
 
See?

 
See WHAT?!
 
Was wir hier brauchen, ist die Definition der MULTIPLIKATION (*) auf C =
{(x, y) : x,y e IR}.
 
DARAUS folgt dann
 
       i * i = (0, 1) * (0, 1) = ... = (-1, 0)
 
See?

Sure, you*re right! But that does not falsify

a) Binomial formula (a + b)^2 = a^2 + 2ab + b^2
b) Complex number: Z = a+bi, i^2 = -1
c) (0, 1)^2 or (a, b)^2 with Z = (a, bi), as provided by the "problem"
   to understand the "behaviour" of i.

Aside from that, Python is "sweet-tempered" (gutmütig) so far ;)