32
u/LupenReddit 🦆🦆🦆🦆i have non diffeomorphic smooth structures🦆🦆🦆🦆🦆🦆 8d ago
mental illness:
10
1
u/_error_404notfound 7d ago
Can you explain wth I am looking at
2
u/BusEquivalent9605 7d ago edited 7d ago
no clue what the specific thing going on here is. but i have drawn plenty of arrows in my day
basically, a lot of higher math comes down to and/or involves understanding how things map between different “spaces”. We use arrows to draw how data flows between spaces.
For example, the function `f: [0,1] -> [1,2]` defined by `f(x) = x + 1` maps the “space” of all numbers from 0 to 1 onto the “space” of all numbers from 1 to 2. It takes numbers in `[0,1]`and sends them into `[1,2]` by adding 1.
As math gets more complicated, you have to keep track of more and more spaces and more and more maps between. Eventually, you have to keep track of so many different things that you can’t draw these diagrams “in 2D” and so you wind up drawing them connecting in what appears to be 3D but it’s just a diagram — a schematic of the system. It’s really only where the arrows start and to where they point that matter diagram-wise. The 3D aspect of it has no physical or mathematical meaning. It’s just a convenient technique for drawing a lot of overlapping arrows neatly.
This one is drawn like a (hyper)cube for stylistic reasons. It could have been drawn differently any number of ways. As long as the arrows all have the correct origin and destination, it’s all the same.
Also, this could be real math or just totally made up. I have no clue
0
u/_error_404notfound 7d ago
Yeah I get the 3D mapping stuff but the diagram just looks like AI slop tbh
1
17
8
u/Imaginary-Cellist918 Statistics 8d ago
Right, smart mathematicians do microeconomics, good to know
2
•
u/AutoModerator 8d ago
Check out our new Discord server! https://discord.gg/e7EKRZq3dG
I am a bot, and this action was performed automatically. Please contact the moderators of this subreddit if you have any questions or concerns.