Okay I’m Currently Furious That Migraines Are Often So Blindly Easy To Treat And I Had To Find This

Quatrefoil Knot

Lagrange Markipliers or something idk I forgot all my multivariable calc.

7 III 2023

it's the second week of the semester and I must say that it's easier than I predicted

statistical data analysis is boring but easy, algebra 2 is easy but probably interesting, so is differential geometry

algebraic topology was funny because ⅓ of the group completed the algebraic methods course, so at first we told the professor to skip half of the lecture (we all know the required part of category theory) and then with every new piece of information he would say "ok maybe this will be the first thing today that you don't know", to which we would reply "naaah we've seen this" lmao. but the course overall will be fun and maybe it's even better that the level of difficulty won't be as high as I though, that would leave more time for my other stuff

the tutorial part of number theory was scary, because the professor wanted us to work in pairs. my autistic ass hates working in groups and the noise in the room was unbearable (everyone was talking about the exercises we were given to solve), so I was on the verge of a meltdown after 30 minutes of this despite ANC headphones. next time I will work by myself from the start. maybe without the requirement of communication it won't be as bad. the course itself will be easy, when it comes to the material. I know nothing about number theory, so the novelty will make it more enjoyable. a few people said that they would prefer the tutorial in the standard form, maybe I won't have to worry about surviving it if there are enough people who want to change it

my birthday is tomorrow and as a gift my parents gave me enough money to buy an ipad, I was saving for it since november. for a few days now I've been testing different apps for note taking, pdf readers and other tools useful for studying. I must say, this is a game changer, I absolutely love it

taking notes itself is less comfortable than on an e-ink tablet, which gives very paperlike experience, but it's better than traditional ones. the upside is that I can use different colors and the whole process is less rigid than on an e-ink

two apps that seem the best for now are MarginNote 3 and GoodNotes

the first one is good for studying something from multiple sources. the app allows to open many pdfs, take pieces from them and then arrange them in a mindmap. it's possible to add handwritten notes, typed notes, photos and probably more that I don't know yet. all of this seems to be particularly useful when studying for exams or in other situations when it's necessary to review a huge chunk of material

the second app is for regular handwritten notes. it doesn't have any special advantages other than I just like the interface lol what I like about taking notes on ipad is that I can take photos and insert them directly into the notebook, which I can't do on the e-ink. it's great for lectures and classes because I don't usually write everything down (otherwise I can't listen, too busy with writing) and even if I do, I don't trust myself with it so I take photos anyway. being able to merge the photos with notes reduces chaos

oh god this is going to be a long post! other news from life is that yesterday I had a meeting with my thesis advisor and we finally picked a topic. some time ago he sent me a paper to try and said, very mysteriously, to let him know if it's not too hard before he reveals more details about his idea. the paper is about symmetric bilinear forms on finite abelian groups, pure algebra, and I was supposed to write about algebraic topology, so I tried to search where this topics comes up, but didn't find anything. it turns out that it's used to define some knot invariant, which I would use to write about the classification of singularities of algebraic curves. in the meantime my advisor had another idea, which is an open problem in knot theory. we decided to try the second one, because there is less theory to learn before I could start writing the paper

to summarize what I'm about to do: there is a knot invariant called Jones polynomial, which then inspires a construction of a certain R-module on tangles and the question asks whether that module is free, if so, what is its rank. now I'm reading the book he gave me to learn the basics and I can't wait till I start working on the problem

25 II 2023

I had an exam yesterday, one more to go. it was the written part, so 12+ hours of solving problems, exhausting just like before. I completed all of them, but of course I am not sure if my solutions are correct, I will find out on monday. I'm proud of the progress I've made

right now I'm studying for the second part, so the theory-oriented one, I can barely focus because I've already learned those things and now I have to relearn them again

I'm trying to prove all the theorems on my own. partly to see how much I remember, partly to see how much I'm willing to improvize. as they say, if you're using too much memory then you're doing something wrong so I'm hoping to be able to come up with the proofs without memorizing anything new

my technique for studying the theory for the exam is to first test myself on how much I remember by trying to write everything down and note where I'm unsure or don't remember at all. then I read the textbooks starting from the worst topics up to the better ones. when I encounter a long complicated proof I am trying to break it down into steps and give each step a "title" or a short description

for instance, the Baer criterion featured in the photo has the following steps:

only do "extenstions on ideals to R→M ⇒ M injective"

define the poset of extenstions of A → M, A ⊆ B and a contrario suppose there is a maximal element ≠B

use the assumption to define an ideal and a submodule that contradicts the maximality of the extension

it is much easier to fill out the details than to remember the whole thing. this is probably the biggest skill I acquired this semester, next to downloading lecture notes pdfs of random professors I find online lmao

a friend suggested that I could make a post about tips for reading math textbooks and papers. as for papers, I don't have enough experience to give any tips, but I can share how I approach reading the books

a big news in my life is that I got a job. I will be a programmer and I start in march. at first I am going to use mostly python, but in the long run they will have me learn java. I'm excited and terrified at the same time, this semester is gonna kill me

this is kinda cool, I might do one of these when the semester starts

Studying can be a daunting task, especially when we're not feeling motivated or don't know where to start. Luckily you are on Tumblr, where the Tumblr Studyblr community lives!

A group of individuals who share their study tips, techniques, and challenges to help motivate and inspire others.

As a member of this community, I've compiled a master post of study challenges created by Studyblr bloggers. These challenges aim to help students stay on track, improve their focus, and achieve their academic goals. So you can join in and start achieving your academic potential!

>> 𝐍 𝐨 𝐭 𝐞

If you know any other challenges or you've created ones yourself and want to share them, do message me with the link to the post so I can update the list! I too will be creating some, more coding-related ones as I am a coding studyblr (codeblr) blog! That's all and hope you find a challenge you'd like to start!

@tranquilstudy's Studyblr Challenge - 𝒍 𝒊 𝒏 𝒌 

@sub-at-omic-studies' Study Challenge - 𝒍 𝒊 𝒏 𝒌 

@wecandoit’s Study Challenege - 𝒍 𝒊 𝒏 𝒌 

@cheereader's The “Back To College” Study Challenge - 𝒍 𝒊 𝒏 𝒌 

@myhoneststudyblr's The Studyblr Community Challenge - 𝒍 𝒊 𝒏 𝒌 

@ddaengstudies' Wabi-Sabi Studyblr Challenge - 𝒍 𝒊 𝒏 𝒌

@hayley-studies' 30-Day Study Challenge - 𝒍 𝒊 𝒏 𝒌 

@ddaengstudies' Zoomester Studyblr Challenge - 𝒍 𝒊 𝒏 𝒌

@cheereader's Summer Studying Challenge: Southern Hemisphere Edition - 𝒍 𝒊 𝒏 𝒌

@cheereader's Horrortober Challenge - 𝒍 𝒊 𝒏 𝒌 

@caramelcuppaccino's Autumn Studying Challenge - 𝒍 𝒊 𝒏 𝒌 

@myhoneststudyblr's Winter Studying Challenge - 𝒍 𝒊 𝒏 𝒌

@ddaengstudies' Winter Wonderland Studyblr Challenge - 𝒍 𝒊 𝒏 𝒌  

@stu-dna's January Study Challenge - 𝒍 𝒊 𝒏 𝒌

@planningforpatience's February Study Love Challenge - 𝒍 𝒊 𝒏 𝒌 

@littlestudyblrblog’s March Study Challenge - 𝒍 𝒊 𝒏 𝒌 

@smallstudyblrsunite's The June Challenge - 𝒍 𝒊 𝒏 𝒌 

@stu-dna’s October Study Challenge - 𝒍 𝒊 𝒏 𝒌 

@alfalfaaarya’s 21-Day Productivity Challenge - 𝒍 𝒊 𝒏 𝒌 

@work-before-glory's G's Productivity Challenge - 𝒍 𝒊 𝒏 𝒌

@moltre-se-s' 30 Day Langblr Challenge - 𝒍 𝒊 𝒏 𝒌

@drunkbloodyqueen’s The language challenge - 𝒍 𝒊 𝒏 𝒌

@caramelcuppaccino's 20 Language Learning Challenge - 𝒍 𝒊 𝒏 𝒌 

@prepolygot’s Langblr Reactivation Challenge - 𝒍 𝒊 𝒏 𝒌 

@xiacodes' 5in5weeks Coding Challenge - 𝒍 𝒊 𝒏 𝒌  

@friend-crow's Tarot Study Challenge - 𝒍 𝒊 𝒏 𝒌   

me when Čech cohomology

i love math. i hate math. i can do it all day, everyday. i cannot solve a single question. it's my favorite subject. I would rather kms than open the book. it's beautiful and everything makes sense and it's the best. it's fucking useless and nothing is logical and it's the worst. it's the loml. it's my arch nemesis.

Every now and then I remember that Malbolge exists and I get to spend the better part of an hour cry-laughing at the world’s worst programming language

already starting off strong, but it gets worse

Wow! Sounds easy and intuitive to use! What’s the “crazy operation” you ask? We’ll get to that later. For now let’s see what a program in this language looks like :)

Thanks! I hate it!

it’s so difficult to work with that the first program was written by another brute force search program

mmmmm delicious base-3 arithmetic, what could go wrong? (For reference, that means this program forgoes the usual “0/1″ values of binary code in favor of a much more fun “0/1/2″ set of values)

ah.

Here’s how the language actually figures out what to do. It’s got 8 “simple” commands that can be executed easily by *checks notes* running the code itself through the modulo operation and taking the result.

As a bonus, on top of all that every single character in your code will now alter what every single other character does. So I hope you’re alright with cracking a cipher every time you add a new letter to your program!

oh god oh fuck.

behold, Malbolge’s primary arithmetic operation and what you’ll be using for most of your math while programming with it :)

This looks specifically designed to be the least logical math operation you could make, and knowing what the rest of Malbolge is I’d wager that’s precisely what happened. I never want to ever use this and it’s my favorite thing I’ve ever seen.

https://en.wikipedia.org/wiki/Malbolge

Anyways here’s the wiki page if you wanna read through it more deeply, I’m gonna sit here holding in my laughter staring at the hello world program again.

21 VII 2023

oh god I haven't posted anything personal in a very long time

I've been super busy with exams, essays and then my thesis, all I did was sleeping and studying

I defended my thesis 40 minutes ago! it's done! in two months I am starting the master's degree program

this was probably the most brutal exam session I ever had lol it started a month ago and I had no day off since. after finishing my normal exams I've been working 12 hours per day to complete my thesis and thanks to my advisor who was working just as hard as me, we did it

I was so close to failing differential geometry. the exam was really bad, probably my worst ever. the questions were mostly about this one topic covered during the last class – we discussed maybe 3 problems and the professor decided that this is good enough lol basically we were supposed to read his mind and guess what else there is to learn. I scored 35% and apparently that's more than enough to pass – the grades go from 3 to 5 and I got 3.5, so that's literally "more than enough to pass". there were only 3 people who scored 50% or more, so yeah, that seems fair

that week of studying differential geometry was the most stressful week in the last 3 years, I fucking hate it when it's unclear what I'm supposed to learn and I have no idea how to do it. thank god I passed, I don't know how I would do it again before taking the september exam

anyway, I passed algebraic topology, number theory and algebra 2 with flying colors and the reviewers really loved my thesis! they strongly suggest publishing it, but I think I will try to finish the second part of the proof before I do that

I already found the advisor for my master's thesis, of course I don't know what it's gonna be about, but since I had some algebraic topology this year, I am thinking it's time to learn algebraic geometry now

sweet jesus it's finally over, I can't believe it. and something new is starting

13-16 VIII 2021

much work recently gotta code

gonna monitor only my focus now, define the scale such that 1 means "can't concentrate at all" and 5 means "hyperfocus". today was

focus: 2

i am not doing as much math as i'd like to as i have to focus on the python project i'm doing with bf. anyway, we can say that i did cartesian products of topo spaces, i do have some basic understanding of the concepts now. i started compact spaces. i also need to read some stuff on connectedness and put extra time into analyzing examples of what i've been learning about. so that's the next thing on my schedule, after i'm done with compact and connected spaces

but hey i have 1.5 month of the holidays left and i learned most of the theory planned for me on analysis and half of what i'm supposed to learn on topo. doing good

other than that i decided to write down the structure of how i study:

i find it to be a good way for studying math, it goes brrr like this:

general idea → details, connections and applications

i gained some followers already, i hope you guys enjoy this and possibly find it helpful. moreover, i'm very interested in your custom study algorithms if you have any

2-3 VIII 2021

it's 4am currently, i woke up after a 5hour nap and i don't plan to sleep anymore, time for topo

sleep: weird but going in the right direction i guess

concentration: fine

phone time: good

i am currently dragging myself through some of the most important theorems in multivar calculus i believe. inverse function theorem, implicit function theorem, diffeomorphisms and stuff. the proofs are quite simple but very long hence exhausting, my least fav kind of proofs. right now i'm doing topo

tomorrow (or rather today) i'm planning to do more topo and possibly finish my notes from that calculus chapter