idk how to use juggling lab do you still like me
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noise dept.
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@math-memes
idk how to use juggling lab do you still like me
it's always crazy when you're doing some complicated calculus problem or smth and it simplifies to basic arithmetic. like woah, kindergarten jumpscare
in my regime all ads will be replaced by ads of mathematical objects
Need a quick counterexample to your graph theory conjecture? Try the Petersen Graph! It has only 10 vertices and 15 edges and is the most symmetric graph we've ever seen, with over 50 symmetries!
this rocked my socks off so im keeping it here
[ID: screenshot of tumblr tags:
# this is how one of my professors used to write math questions # it would be like # you're walking down the hall in [math building] and [other professor] jumps out of their office # and offers you [mathematical object with some specific characteristics] # should you buy it # and you had to decide if it was a scam or not # ie can that object have those characteristics
End ID]
In my sick and twisted world, epsilon < 0
algebra is honestly funzies when you know what youre doing it’s like a puzzle that you feel smart for solving. however when you don’t know what you’re doing it becomes a challenge called who can turn into a feral dog and bite things fastest and brother i always win
this reads like one of my personal algebra students wrote it. do you live in oklahoma by chance
It'll all be okay. You'll be okay. You just have to do more math. Do more math and everything will turn out alright. You'll see. You'll be alright. Chin up. There's math to do. You'll be fine.
i made a stylised version of the 2d representation of the multiplication rules for the sedenions! (16-dimensional hypercomplex algebra)
we should have stopped at quaternions
We haven't gone far enough.
Cayley–Dickson construction - Wikipedia
These are all algebras. I am wondering about the supremum case of these. I think it can be extended to ordinals, because subsets, you simply look at all 'finite-length' ones and handle everything based on the properties of the highest-length one in the sequencenot fully sure if you can extend it to an infinite length element.
But omega is the union of all of the previous ones, then omega plus one is two instances of that, copied over, and then...
WHAT do you MEAN they don't have associativity. JESUS FUCK. let multiplication be multiplication, dude. christ.
really like the number 49 recently. it's one less than 50 which is obviously a super clean and even number it makes 49 look meager by comparison . and it's 7 squared which I don't normally like 7 it's overused but it still has to be acknowledged as somewhat of an odd indivisible number it has some under dog quality to it. and then it tries its hardest and becomes square but it comes just shy of 50 . being beautiful and round and even but. 50 isn't a square. it's the sum of 2 squares and also half of a square but . even though it may seem like a failure, 49 has achieved something that 50 only dreams of
You wanna fuck 49 so bad it makes you look stupid
I intensly miss the mathematical infodumping of the student common room in my old mathematics undergraduate program. I want a thing where mathematicians give talks, less on their research, and more on just generally enjoyable mathematical things. Like Numberphile but pitched at the level of graduate students or something.
Wipe chalk dust on your pants.
The difference between derivatives and integrals is like the difference between solving a sudoku and solving a riddle from a fairy guarding a treasure who is bound by fairy law to make it technically solvable, but if you do manage to solve their riddle their boss will actually kill them, and even if you get the right answer they won't let you through unless you remember to add + C at the end
I think the reason for this is important to bear in mind tho!
Differentiation makes functions worse. You have to be pretty nice already to be differentiable, and after differentiating once you might no longer be nice. It's very easy to make things worse.
Integrating makes things nicer! Most* things are integrable, and after integrating you have to be nice.** It takes a lot more work to make something better than potentially ruin it
physics nerds i have a question for you
so pressure is measured in kg/m^2. this makes sense because pressure is applied over a two-dimensional area
acceleration is measured in m/s^2. I know this is a shorthand for “m/s every second”, but that s^2 in the denominator is enticing me. is there a way we can visualize acceleration as distance being applied to a two-dimensional time surface? what would that look like? what even are units?
Sorry, even as a physics undergrad I’ve never fully wrapped my head around shuffling units’ dimensions like that. I’ve had years. I’ll look around in the memory bank and let you know if I find anything, though.
One thing I will note is that pressure is N/m^2, since it’s force over area and not mass over area.
outing myself as a non-physicist by forgetting that weight and force are two different things 😭
physics nerds i have a question for you
so pressure is measured in kg/m^2. this makes sense because pressure is applied over a two-dimensional area
acceleration is measured in m/s^2. I know this is a shorthand for “m/s every second”, but that s^2 in the denominator is enticing me. is there a way we can visualize acceleration as distance being applied to a two-dimensional time surface? what would that look like? what even are units?
Thurston's Orange Peel Theory
inspired by this reddit post and the decor from my friend's childhood home