Shimmering Solution Space

Nov 8, 2024 4:10 AM

Consider the pair of equations:

A + B + C + D = 1 + 2 + 3 + 4
A*B*C*D = 1*2*3*4

Find real-valued numbers (A,B,C,D) satisfying these equations. Since the system is underdetermined, there are many solutions. The program solves for (A,B,C,D) 6000 times and makes a scatter plot of (A,B), with (C,D) discarded due to the convenience of making a 2D plot. The video consists of hundreds of different sets of 6000 solutions. Since the solver is randomly initiated, each plot is slightly different from the others. In addition to the outer boundary curve of the solution space, there are three other lines that represent locations at which solutions are unusually likely to be found.

mathematics

math

It's a really weird way of mathematically calculating my stroke differentials during 24 hour masturbation sessions but thank you for the algorithm

9 months ago | Likes 3 Dislikes 0

I don't understand the significance of writing out 1+2+3+4 instead of just writing 10

9 months ago | Likes 2 Dislikes 0

Fair enough. I had (A,B,C,D) = (1,2,3,4) in my head as the reference number set, so I preserved the individual numbers while writing it out.

9 months ago | Likes 1 Dislikes 0

also it wouldn't be clear the relation between the numbers if you just wrote =10 and =24

9 months ago | Likes 2 Dislikes 0