Re:Why don't we define “imaginary” numbers for every “imposs...
by 2muchcoffeeman on Monday April 10, 2023 @10:10AM
(#35512503)
This just goes to show that you really have to be careful when slinging out math facts. I've done some under grad maths and the only line on that page that I understand is
"The extended complex numbers are useful in complex analysis because they allow for division by zero in some circumstances, in a way that makes expressions such as 1 / 0 = ∞ 1/0=\infty well-behaved."
It clearly does not satisfy a primitive understanding of 1/0.
Re:Why don't we define “imaginary” numbers for every “imposs...
by hgsgm on Monday April 10, 2023 @09:08PM
(#35519393)
1/0 is the limit of x/y as x approaches 1 and y approaches 0. It works fine if you choose to put a a point there called \infinity, with an appropriate notion of nearness.
"The extended complex numbers are useful in complex analysis because they allow for division by zero in some circumstances, in a way that makes expressions such as 1 / 0 = ∞ 1/0=\infty well-behaved."
It clearly does not satisfy a primitive understanding of 1/0.