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@quantumstateofstudying
I love mathematicians so much. No one else is doing it like them. Group of people genuinely only in it for love of the game. Everyone else hates their subject and thinks its boring and useless and these guys are out here talking about how beautiful and incredible and poetic it is with a twinkle in their eyes. No other subject has such a crazy disconnect between public perception and reality. I love it.
“bits to use in everyday conversations”
Studying linear algebra rn and it's to freaky for me 😭
There's too much magickery, like you define a thing a certain way and suddenly it has 3 billion useful properties
I feel like calculus had carefully constructed definitions to specifically get the properties and uses you wanted but this is something completely different
tags by @generally-proven
maybe if tumblr allowed you to typeset your posts in LaTeX it would have succeeded in becoming the next pdf
to anyone in the areas impacted by the wildfire smoke, my #1 biggest piece of advice as someone whos been dealing with wildfire smoke in the NW united states for years, is build yourself a Corsi-Rosenthal Cube
they perform as well as expensive HEPA air cleaners, and are comparatively VERY inexpensive. all you need is a box fan, 4 air filters, a piece of cardboard, and some duct tape!!!!
i think it took us maybe a half hour to put ours together, if that, and we replace the filters every 3 months. it's really made a HUGE difference, both when the air quality is bad, but also with our allergies
Saw these easy to read instructions on Twitter. Stay safe 💚
Great time to start pricing this out by the way, fire season starts… on the summer solstice this year, that’s fun. Signs point to it being a doozy.
@charlesoberonn made a really, really good post that I stole to make... this
Went to read (a journal article) outside the math building and found that someone had been studying galois theory.
No clue who. I didn't see anything that seemed too unreasonable for an undergrad class, but I also don't know if they even do galois theory in the undergrad abstract class here.
It was the grad class! (The intro/qualifying sequence one.) They were out there again, including the professor, and some other professors took photos :)
some math concepts are just so inherently funny like there's a thing called the "long line" and it's just a line that is defined to be long.
or, more precisely, it is a union of two long rays and a long ray is defined to be longer than a regular one.
now, you may be asking, how can something be longer than infinite? now that is a very good question: it is longer than a normal ray because it is defined to be longer.
"the long line behaves similiar to the real line, but it is in a certain sense \"longer\"" is a real sentence that i just read.
saturday 25/04/2026
idk what kind of genuine delusion i was on when i volunteered to willingly write a paper in a software i’m not fully conversant in, in a language that im still struggling in, in a topic i am ass at… and i was like yeah guys 👍 let me do the first research paper of the semester
♫ here comes the sun - the beatles ♫
i think signing your name is a lot like y=n for some n. beginning to write is like going y=x. proficiency looks like x²+y²=1. and the real greats are doing r=θ
Tensor Products over Alegbras
I would like to share an interesting relationship between the tensor product of modules over an algebra and their tensor product over the base ring. The proof will also be a example of the elegance of arguing via universal properties! To keep the post from being too long, I will be assuming familiarity with tensor products, algebras over commutative rings and coequalisers. If there is enough demand, I can make a post about any one of these in the future!
It should be noted that noted that the various natural R-module structures on the tensor product over A do align!
One consequence of this comes from the fact that every ring is canonically a ℤ-algebra is that the existence of tensor products over ℤ imply the existence of tensor products over any ring!
[Screeching sound of peeling tape
The screeching of peeling tape is a familiar albeit annoying sound. However, despite decades of study, its source has remained elusive. Herein we demonstrate that this sound is produced by a discrete train of weak shocks emanating from the fine fractures which travel supersonically with respect to the surrounding air, in the transverse direction within the detaching adhesive. Each sound pulse is generated when a fracture tip reaches the edge of the tape. We verify this using two microphones synchronized with clips from two simultaneous high-speed video cameras, one observing the fracture motions in the adhesive through the transparent substrate, while the other captures schlieren imaging of the shock fronts in the air.]
Li et al. (2026)
When I was younger I thought that I was displaying my commitment to being a mathematician by not taking care of myself. Whenever I didn't eat right, or sleep right, or not exercise, or not work on therapy, in order to save time for studying more mathematics, surely that was buying me points in mathematician Valhalla.
This was completely wrong headed.
Display commitment to mathematics by doing the tedious work of actually taking care of your basic needs. If you take care of your basic needs, you will become a better mathematician than if you neglect them.
This. There’s this professor at my faculty who is an amazing mathematician. I’d give my kidneys for his success. The guy doesn’t take care of himself at all, though. He literally lives in his office; I’ve never seen him speaking to the other professors or even students; I try to toss him a smile whenever I see him but the feeling among the other students is… different. I don’t want to shame this kind of living or this guy, because I’m sure he’s great, but it’s a stark contrast to his coworkers.
I have professors who have coffee every day with each other and their grad students. One older guy’s always around in cool geek t-shirts. Professors who have tea with students just to get to know them. Professors who tell stories about their drunken youthful days in lectures. There’s a prof who’s a former professional athlete. These are all very, very successful people in their careers; the most successful one I know is well-known for popping up for coffee in one of the institutes.
Mathematics is great; mathematics is forgiving. If you want to sacrifice, sacrifice, but she’s not demanding it of you. Your body is a different matter and your brain is a different matter. They do demand sacrifice, and there is an amazing return on investment.
google search history
how to stop being bad at homological algebra
homological algebra skill issue
what even does a cone anyway
what even does a cone anyway HOMOLOGICAL ALGEBRA
why does ctrl c ctrl v stop working randomly
theorem that fixes all of my problems
theorem that fixes all of my problems PLEASE
cat videos
all of my mathematical ability vanishes when a contravariant functor appears
should be able to leave kudos on scientific studies. i liked your paper dude keep at it
sorry, Dr. Dude
Dude et. al.
need y'all to know that most academics have publicly searchable email addresses and this not only makes their day but they can put nice emails in their giant packets for applying for jobs or tenure. "hi i read your paper for a class and it was very helpful, im at xyz college and the class is blah with professor blah" is sufficient and ENORMOUSLY helpful
It seems that, once again, when you can't kudos, commenting is the way to go
im obsessed
oh, of course. because he died for our sins.
Astronauts are so funny man. Here's just a couple of things I've found hilarious from this past week of space stuff:
It's probably already been spread around here enough already, but in case anyone's missed it; 7 hours after launch, commander Reid Wiseman, dealing with tech issues, uttered the generational quote "I have two Microsoft Outlooks and neither one of those are working."
After fixing the issues that were afflicting the onboard toilet, mission specialist Christina Koch (who has quickly become my favourite of the four) laughingly said “I’m the space plumber, I’m proud to call myself the space plumber.”
On Easter Sunday, the Artemis II crew hosted a makeshift egg hunt, by hiding packets of dehydrated scrambled eggs around their Orion capsule.
The way the crew always makes sure to make it very clear they're in space when doing interviews. From stuff like Wiseman just hanging out floating sideways on screen or Koch letting her hair loose so it can freely span out flowing around her.
While in transit, the crew decided to record a parody of those bad 80s sitcom intros where everyone turns and smiles at the camera.
When the crew reached the furthest point from Earth in the mission, they jokingly clambored over each other in an effort to get to the far side of the capsule, so that they could individually claim to be the furthest person from earth.
At the same time, on the ISS which was at the time on the other side of earth, the 7 astronauts onboard had a light-hearted race to the far side of the station, making jokes about being the furthest humans from Artemis.
On the way back to earth, NASA actually managed to establish an audio call between the crews of the ISS and Artemis II (where they shared the above info), and Koch called one member of the ISS crew, Jessica Meir, her "astro-sister" as the two of them previously spacewalker together in 2019. Meir then responded I'm so happy that we are back in space together, even if we are a few miles apart" (a few here being 230,000).
While Jeremy Hansen was doing an interview, Wiseman and Koch were just in the background swatting the mission mascot (a little moon plush toy named Rise) back and forth between each other.
