5x5 Diamond Rule, Iterates 1-32

A monoid? Oh, you mean a monad on a one point set in the bicategory of spans of sets?

The proof is left as an exercise to the IRS

4-5 VIII 2021

did much topo and walked

sleep: weird. 5 hours. woke up at 3:30, at least right now it seems i might finally fix my circadian rythm

concentration: not good. too little sleep

phone time: good

almost done with operations on topo spaces and did some measure theory today. i love it so much, it's so new and yet so intuitive

tomorrow gonna take a peek at some art probably and possibly finish the operations on topo spaces, hoping to jump right into connected spaces and maybe do some more measure theory. kinda gave up with multivar calc boring af lol

you know girls can tell when you look at their boobs

i don’t care how quickly you glance, 1 second is like 5 seconds in boob time

so, for relativistic boobtime, where t is the observer, and t’ is the time measured at the boob. t=t’/sqrt(1-(v/c)^2) solving for t=1, and t’=5, we get that the boobspeed, v, is represented by v=+/- (6*10^8)sqrt(6)i m/s

boobs travel at 1.5 gigametres per second in the complex direction.

when a pelican bites you there's no malice in their eyes. they aren't upset at you. they are just hungry and want to see if you fit in their mouths. and if you don't then it's no problem and everything is fine. and if you do then well i guess your fate is sealed but that's ok it's a beautiful animal

Please fund my research in finding fewer applications of mathematics. I'm going to start my project with trying to find fewer uses of trigonometry, so that ideally we can eliminate the need for remembering trigonometric identities. Then I'm going to move on to researching fewer uses for integration by parts, because that tends to get real tedious real fast. With your unending financial support, I believe I can return mathematics to the purity and simplicity it has always yearned for.

I know your thesis was about something to do with algebraic topology, may I ask what exactly it was about?

(and congrats to you getting your bachelors degree and into a masters program)

(thank you!)

my thesis was about an open question regarding a certain skein module of tangles on 2n nodes. the conjecture is that the module is free and in my thesis I constructed a generating set that is free for n=2,3 (direct calculation) but I have yet to prove that for a general n. if you are interested I can send you the paper in which the question was posed, all the details are explained there and would be hard to write down here without tex lol

30 I 2023

in a fortnight I will have two oral exams and one problem-based exam

the first oral will be for complex analysis and we are supposed to choose three topics from which the professor will pick one and we'll have a chat. I chose meromorphic functions, Weierstrass function and modular function. I have already received my final score from homeworks, which is 73%. combined with 74% and 100% from tests, I am aiming for the top grade

the rest of exams will be for algebraic methods. a friend who already took this course told me that when someone is about to get a passing grade, they get general questions and the professor doesn't demand details of proofs. when I asked him if we are supposed to know the proofs in full detail or if it suffices to just be familiar with the sketch, he told me that if I will only know the sketch I will sit there until I fill in all the details. lmao that sounds like he wants me to get a top grade. ok challenge accepted

so it seems like I have a chance to ace everything. if I achieve this and do it again next semester I can apply for a scholarship. studying for the sole purpose of getting good grades doesn't feel right, the grades should come as a side effect of learning the material. buuut if I can get paid for studying then I might want to try harder, I enjoy being unpoor

the next two weeks will be spent mostly grinding for the algebraic methods exams, this is what I'm doing today

you really can't

wha?

please explain what this message means or else the curiosioty will kill me

my love for topology is a very concave function with a very positive derivative

tietze theorem is fucking beautiful urysohn's lemma is pretty and separation axioms are cute

aand i animated some riemann integration today:

i could've chosen different partitions or a different function in order to achieve more frames but i like this anyway