Also I'm Having A Quarrel With My Parents, I'm Afraid They Will Disown Me Or Kick Me Out

→ 25 VIII 2021

ok so it's been very busy for me for the past few days. we made the yt video with bf and i finally moved out from my parents

concentration: 4 (recently)

i did some topo but not in a very by-the-book way, more like just reading some interesting stuff in various places. homotopy is super fascinating and visual, i love it. other than that i read about other basic concepts such as compact spaces, connected spaces and axioms of countability. i used to read about the aforementioned axioms a while ago and think "why would you even define something like this why does it matter" but after reading topology by jänich i have the intuition that the first axiom is strongly related to the convergence of sequences, hence knowing that the space is first-countable might be useful for evaluating things like the continuity of mappings and compactness

now, i also have a book called elementary concepts of topology by alexandroff and i can't stop reading it, i'm on the page 20 out of 60 since yesterday. and i think i might finish it today but i'll see. i also want to study 1-dimensional manifolds today or tomorrow

“Mathematics is a giant room, full of toys—some of which have very long instruction manuals.”

— Jacob Lurie

I love reading stuff on abstract geometry because there'll be some extremely complicated construction of abstract polytopes that takes up like two full pages

and the first example is this

and you're like "wow that's a cube :)"

and then the next example is this

http://proof.ucalgaryblogs.ca/

This is the best resource for studying math that I've found in a while! It's 300+ pages of flawed/incorrect proofs on topics including logic, analysis, and linear algebra. Each flawed proof is followed by a classification of its errors, and a corrected version.

" 'They' isn't singular!" Oh yeah? Show me its multiplicative inverse matrix then.

sn

Okay I’m currently furious that migraines are often so blindly easy to treat and I had to find this out myself at the age of 26 when I’ve been to a neurologist since I was 11 lol so I’m about to teach you two neat and fast little tricks to deal with pain!

The first is the sternocleidomastoid muscle, or the SCM muscle.

This big red section is responsible for pain around the eye, cheekbone, and jaw, as well as some temple pain. Literally all you have to do is angle your head down a little, angle it away from the side that hurts, and then you can gently pinch and rub that muscle. I find it best to start at the bottom and travel upwards. The relief is so immediate! You can increase pressure as you feel comfortable doing so.

Here is a short and easy video showing this in action

The second is a fast and easy stretch that soothes your vagus nerve, which is the nerve responsible for calming you down. The vagus nerve, for those unfamiliar, is stimulated by deep breathing such as yawning, sighing, singing, or taking a deep breath to calm your anger in a tense situation.

You can stretch this out by sitting up as straight as possible (this does not have to be perfect to work) and interlacing your fingers. Put your hands on the back of your head with your thumbs going down the sides of your neck and, while keeping your face forward, look all the way to one side with just your eyes. Hold that until you feel the urge to breathe deeply or yawn, or until you can tell there’s a change. Then do the same thing on the other side. When you put your arms down, you should clearly be able to turn your head farther in both directions. If the first session doesn’t get rid of your migraine, rest and repeat as many times as necessary. I even get a little fancy with it and roll my eyes up and down along the outer edge sometimes to stretch as much as I can.

If you need a visual here’s a good video on it. I know some of the language they use seems questionable but this is real and simple science and should not be discarded because it’s been adopted by the trendy wellness crowd!

I seriously cannot believe I didn’t hear a word of this from any doctor in my life. Additionally, if you get frequent recurring migraines, you may want to see a dietician. Migraines can be caused by foods containing histamines, lectin, etc. and can also be caused by high blood pressure in specific situations such as exercise, stress, and even sex.

If any of this information helps you I’d love to hear it btw! It’s so so fast and easy to do. Good luck!

14 II 2023

so yesterday would be the last of my exams but I decided to retake both the written and the oral part. the grade I would get is 4, so not the highest possible, still pretty good especially for the standards of that course (it's one of the most difficult), but I am not satisfied

it was the professor who suggested I retake the exams, which surprised me, I was mentally prepared to finish being only half-happy about my results and his reactions, strangely enough, inspired me to try harder. he wouldn't offer it if he didn't think I could do better, right?

if he gave me a 5 with my written exam points I would feel like an impostor, because I don't think I am fluent enough with the topics to receive the best grade. to be graded 4 and not being effered the chance to try again would make me feel that it's done, I was just too slow and I can't do anything else to fix it (at least on paper, but we're talking symbolics now) and him giving me a second chance meant to me that he believes in my potential yet doesn't want to give me a participation trophy, instead he made it about earning the reward that I know I deserve

he achieved the aurea mediocritas with this and the most absurd part of it all is that he of all people was to give me this inspiration. half of the students I talk to think that he is pure evil, the majority of the other half think he is an inconsiderate asshole lmao

so in two weeks I'm trying the exam again. in the meantime I will have a party with friends (small – 5 people + my boyfriend's cat) and then I will be grading the math olympiad. afterwards my another grind of algebraic methods shall commence and this time please let me not fuck it up

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

chaotic good

Pro-tip: You can use paper twice if you take your notes in pencil first and then write over it in pen. 

@shitstudyblr please validate me