When K ⊆ L Is A Finite Extension By One Element, Say α With The Minimal Polynomial F, We Can Write

this is going to be difficult -> i am capable of doing difficult things -> i have done everything prior to this moment -> this difficulty will soon be proof of capability

You think math should relate to the real world? What are you, some kind of physicist? Get the fuck out of here

uhh probably the worst math feeling is when you're so excited about proving something and you talk about it to someone who does math with you and they say oh but it's trivial

today I learned that for a surface with boundary, which I believe we can say a straw is, the genus is equal to that of a 2-manifold obtained from attaching disks to the boundary. hence the straw has genus equal to that of a 2-sphere, which is 0, therefore a straw has 0 holes

also a straw is not homotopic to a torus I think, but rather to S¹, as it's a product of S¹ and a closed interval, which is contractible. a torus has the fundamental group S¹×S¹, thus they cannot be homotopy equivalent. buuut that requires the straw to be infinitely thin so maybe I'm too idealistic for this claim to hold and it is in fact equivalent to a torus

lmao I love math but I can't stop laughing at the fact that it took me two years of university to be able to have this discussion

I’m really into internet discourse but only pointless and stupid internet discourse like how many holes there are in a straw (it’s 2)

omg I want this so much, I could share my ideas and things I learned

I think tumblr should let us post diagrammes and graphs and tables. We can be trusted with math. I promiss.

meanwhile typical conversations between my friends:

– so what do you do in math?

– differential equations

– ugh I always hated differential equations

– you?

– general topology

– ugh I always hated topology

The curse of a mathematician is to work in a disliked field

"based and purple pilled" with deleted vowels. the first adhd medication I tried was life changing, I could finally study and function (half-)properly, and the pills are purple, hence my version of "based and red pilled", which I probably don't have to explain

Guys please reply to this with what your url means or references I’m really curious

Artificial intelligence makes accurate sheep counting.

Hello, dear! 🌻

I saw your post wanting book recommendations. I'm sorry for your previous struggles, but I hope this list may help you find something you love!

-"The Housekeeper and the Professor" by Yōko Ogawa (The professor is a mathematician!)

-if you like Vonnegut, you may like Haruki Murakami, specifically his older titles like "Wind-Up Bird Chronicle" and "Norwegian Wood" (I feel these books do a good job of expanding on people's motivations and moods.)

-"The Elegance of the Hedgehog" by Muriel Barbery (Again, excellent at conveying emotions.)

-"Hunting and Gathering" by Anna Gavalda (This one is technically a romance - a genre which I personally would normally HATE - but it portrays such realistic characters, their struggles and their natural dialogue during fights that it actually felt more like I was reading about a collection of lives that I had the pleasure of spying on from above. I really love this book!)

-for WWI and WWII-themed titles, I'd recommend the Battlefield comics by Garth Ennis (He's SO good at writing believable characters and realistic dialogues.)

-if you don't mind high fantasy, any of the books in Terry Praychett's Discworld series about the wizards might be up your alley (You can read them independently without issue, or start from the beginning of any of the wizard titles. You can find a reading guide online! The wizards of his world are very regimented about how magic works - somewhat like mathematicians - and it's very funny.)

-the "Cemetery of Forgotten Books" series by Carlos Ruiz Zafón (I'd skip the 4th one - the main character/POV changed and I wasn't as impressed with the writing in that one - but the first 3 books are an absolute dream to read. The characters are so charming, lovable or completely horrifying, it feels like a wonderful foreign mystery series that takes place in 1940s Spain. It was really interesting to try to keep track of such a unique mystery amidst the second world war.)

I hope those help! Please enjoy your reading journey. ♡

hi, and thank you so much for the recommendations! I appreciate it a lot, those books sound really good

i gotta say i don't buy all them planning strategies and tips that require more effort than just sitting and doing the work

i mean that might help some people but i find that when i am doing something important to me i need no plans nor do i need motivation, i also don't procrastinate, everything falls into its right place

and if achieving something takes so much effort in preparation, is this even supposed to be a thing? idk, maybe that's the reason why i have no external proof of my work lol