Mood: Filling An Open Set With Dyadic Cubes And Pretending This Is Studying Measure Theory

I finally tried mindmaps to keep track of the 200 kinds of morphisms and another 100 kinds of sheaves (that one is work in progress)

I kinda like the result and I hope to finally use my notes in the future

also a funny thing is happening

my title here on tumblr is "you can't comb a hairy ball" – hairy ball theorem, which says that whenever an n-dimensional sphere admits a continuous field of unit tangent vectors, n must be odd. I love how geometric this is, math is full of memes

anyway when I found out about it I was joking that my thesis will be on it. and now it's actually very likely that my first thesis will be about hairy manifolds, I can't wait till I can start writing

15 V 2022

I have a topology test this friday, not gonna lie I'm kinda stressed. this is my favourite subject and I am dedicating a great deal of time to learn it so if I get a low grade it undermines the efficiency of my work. everyone thinks I'm an "expert", but internally I feel like I lied to them. it's ridiculous, because I can solve all the theoretical problems fairly well but the moment I have to calculate something for a specific example of a space I am clueless. and it's about applying theory to problems, right? so what is it worth

other than that tomorrow is a participation round in the integral competition at my university. I am participating. I don't have any high hopes for this, because it's been a while since I practiced integration and I am not motivated to do so because it's not an important skill – wolfram exists. either way could be fun, that's why I decided to go there

I am dreading the fact that I'll have to sit down and learn all the material from the probability theory until the exams. I've been ignoring it completely so far, because it's boring and complicated. the last homework broke me, it's high time to get my shit together

abstract algebra things that are good:

groups. i love taking inverses

fields. i LOVE taking inverse

banach algebras. i love having a notion of distance, and also being a complete space

lie groups. i dont know anything about them yet. but they seem so cool. technically groups

abstact algebra things that are bad:

rings. god i hate rings so much. theres like a thousand different kinds of rings, some of which are subsets of each other, and some of which have different names but are actually the same.

free recall

here I am sitting and trying to learn something from a textbook by making notes and ugh I don't think this is gonna work

what I'm writing down will probably leave my head the second I switch tasks

today I found a cool video about taking notes during lectures and a method called free recall is mentioned there:

to summarize: taking notes during the lecture is ineffective, because it requires dividing attention into writing and processing the auditory input. instead of doing that one should just listen and then try to write down the contents of the lecture from memory. I can believe that – this is how I studied for my commutative algebra exam and the whole process went really fast. I highly recommens this guy's channel, he is a neuroscientist and bases his videos off of research findings

I will try to do this with textbooks and after a while I'll share how it felt and if I plan to keep doing it. the immediate advantage of this approach is that it gives raw information for what needs the most work and what can be skipped, which is often hard to see when trying to evaluate one's knowledge just by thinking about it. another thing that comes to mind is the accountability component – it is much easier to focus on the text while knowing that one is supposed to write down as much as possible after. kinda like the "gamify" trick I saw in the context of surviving boring tasks with adhd

I'll use this method to study differential geometry, algebraic topology, galois theory and statistics. let's see how it goes

I read this and it got me thinking that it's funny how many goals and standards people tend to have. my only goals are to have fairly good health and to improve my math skills constantly. maybe it's my obsession, maybe it's the fact that I just gave up long time ago on femininity, social skills, so called emotional intelligence and how I present to other people

besides… why does this sounds like I'm supposed to only date men lmao

Me: *Removes my cat from my lap to do something else.*

My cat: Father is…evil? Father is unyielding? Father is incapable of love? I am running away. I am packing my little rucksack and going out to explore the world as a lone vagabond. I can no longer thrive in this household.

if you don't want to learn tikz but still need them arrows, check out quiver. it's super useful for complicated and unconventional diagrams

Learning LaTex has been a way more pleasant experience than I thought it would be this stuff is way simpler than it looks and the results fuck hard

at some point I was wondering what about the researcher publishing their paper in an expensive journal and it turns out that the author does not make a lot of money from that, so it really is about fucking this exploitative system and not doing any substantial harm to the researcher, if anyone was worrying like I was

This is about Sci-Hub. yeah we get it.. gatekeep knowledge and protect the interests of capital…

can someone please get these hoes under control i'm BUSY