Re: New equation

On 3/2/2025 9:55 AM, Jim Burns wrote:

On 3/2/2025 11:32 AM, Richard Hachel wrote:

Le 02/03/2025 à 06:06, Jim Burns a écrit :

On 3/1/2025 9:11 PM, Ross Finlayson wrote:

 

Find various different formalisms of complex numbers
from all through the libraries and notice it's
given various ways.

>
Find a formalism of complex numbers _disagreeing with_
⎛
⎜ a+b𝑖 = c+d𝑖  ⇔  a=c ∧ b=d
⎜
⎜ (a+b𝑖)+(c+d𝑖) = (a+c)+(b+d)𝑖
⎜
⎜ (a+b𝑖)⋅(c+d𝑖) = (ac-bd)+(ad+bc)𝑖
⎝
and show it to me.

 

(a+b𝑖)+(c+d𝑖) = (a+c)+(b+d)𝑖

>
Yes.
>

(a+b𝑖)⋅(c+d𝑖) = (ac-bd)+(ad+bc)𝑖

>
No.
>
(a+b𝑖)⋅(c+d𝑖) = (ac+bd)+(ad+bc)𝑖

 Wrong.
Those are flying rainbow sparkle ponies.
(poneys scintillants arc-en-ciel volants)
 Why can't I "vote" for flying rainbow sparkle ponies?

I wonder if the Flying Spaghetti Monster (FSM) hangs out with the Flying Rainbow Sparkle Ponies (FRSP) from time to time? ;^)