🧵 Untitled Thread
Anonymous at Fri, 15 Mar 2024 20:06:50 UTC No. 16079788
Would it have been possible to discover the Mandelbrot set before the imaginary numbers were a thing? I mean, to come up with the logic and rules that produce the Mandelbrot set but without going "wow imaginary numbers are new numbers"
Anonymous at Fri, 15 Mar 2024 20:26:06 UTC No. 16079841
>>16079788
Uhmmm if you mean finding another definition for Mandelbrot sets, but essentially all definitions describe the same thing so in a sense it's all imaginary number for which you will give a different name
Anonymous at Fri, 15 Mar 2024 21:04:05 UTC No. 16079932
>>16079788
Well sure I guess, it's just defined by iterating a function on the complex numbers. You can define the same function in terms of two real coordinates if you want. It would just be a bit unnatural.
DoctorGreen !DRgReeNusk at Fri, 15 Mar 2024 21:07:42 UTC No. 16079942
>>16079932
numbers are already unnatural, silly
Anonymous at Fri, 15 Mar 2024 21:08:44 UTC No. 16079947
Anonymous at Fri, 15 Mar 2024 21:36:13 UTC No. 16080009
>>16079788
"Without imaginary numbers one cannot imagine" - Einschtien
Anonymous at Fri, 15 Mar 2024 21:49:36 UTC No. 16080032
>>16079788
probably if there was some other function that was like the square root function over negative space.
Anonymous at Fri, 15 Mar 2024 23:29:33 UTC No. 16080190
>>16079788
Probably but it would have been extremely counterintuitive.
The term "imaginary number" is misleading.
Complex number do exist, we just can't figure out how to accurately portray them.
The most accurate way to describe them is to imagine that when you multiply a number by -1, you make it rotate by 180 degrees from the origin.
However, if you multiply a number by i, you actually rotate it by 90 degrees from the origin.
It's kinda hard to imagine a quantity being rotated by 90 degrees but hey that's what math actually is.
Anonymous at Sat, 16 Mar 2024 05:31:10 UTC No. 16080625
>>16080190
>we just can't figure out how to accurately portray them.
literally just a 2d plan
>b-bit the funtcion need a 4d space, no human can imagine that
my guy we have people making fucking 4d golf games, the failure of mathematicians in portraying the full 4d extent of the functions is because they are noobs that need to git gud, nothing more
https://www.youtube.com/playlist?li
Anonymous at Sat, 16 Mar 2024 05:32:13 UTC No. 16080629
>>16080625
plane*
Anonymous at Sat, 16 Mar 2024 08:29:46 UTC No. 16080781
>>16079788
Yes, it's called psychedelics
Anonymous at Sat, 16 Mar 2024 08:57:09 UTC No. 16080810
>>16079788
just do it with matrices
[math]
\displaystyle
a+ib \leftrightarrow
\begin{bmatrix}
a&-b \\
b&a
\end{bmatrix}
[/math]
Anonymous at Sat, 16 Mar 2024 15:40:09 UTC No. 16081339
>>16080781
This anon gets it
Mystics and scientists are digging for the same transcendental truth
Anonymous at Sun, 17 Mar 2024 14:12:48 UTC No. 16083049