Imo Euclidean Geometry Kinda Sucks, But If We Mean Geometry In A More General Sense Then Algebraic Geometry

Pick a point inside a triangle and drop perpendicular projections onto the sides. These define another triangle. Repeat, with the same point but within the new triangle. Do the same thing once more. The fourth triangle now has the same angles as the first one, although it’s much smaller and it’s rotated.

may I add some very red trains

red inside as well

If anyone wondered what do I mean when I'm saying our trains are "very green":

And yep inside they are also green:

(Usually not that nice looking though)

The ones in my area usually look like this ↑

(all pics are from Google images lol)

20 X 2022

the past few days were hectic

my grandma's burthday was nice, but very stressful, because until the very last minute I didn't know if I can go home with my mother or if I would have to take the train that would arrive at my city at 5am

I tried to study on my way to the event but unfortunately I didn't do much

annotating categories for the working mathematician was the peak of my abilities

I really enjoy the course btw, which is a bit surprising, because there are so many negative opinions about the teacher. right now we are at abelian categories and probably soon will move on to homological algebra

I spent a long time studying adjunctions but I can say that I understand them pretty well now

maybe a part of the reason why I like category theory so much is that I like drawing and chasing them diagrams

I started doing the second problem set for the analytic functions course. they are much easier than the first one. I managed to solve a half of them today. last time it took me a whole day to solve one problem

for the next few days I plan to

complete the analytic functions homework

commutative algebra homework

category theory homework

abelian categories

localization

analytic functions, differentiation and integration of complex functions

wish me luck and I wish you a pleasant evening

Nothing but respect for this mathematician's webpage

One of my favorite thing I’ve learned about animals studies is that you should avoid using colorful leg bands when you’re banding birds because you can accidentally completely skew the data because female birds prefer males with colorful bands

Apparently if you put a red band on a male red wing blackbird his harem size can double

So like you can completely frick up the natural reproduction of a group of birds by giving a guy a bracelet so stylish that females CANNOT resist him

12 XII 2022

I have a test at the end of this week so I am mostly grinding for that, kinda ignoring other things along the way, planning to catch up with them during the christmas break

the new update for my tablet's OS brought the option to insert pictures into the notes, so now I can paste the problem statements directly from the book. I am not sure if this is actually efficient but it surely looks better and the notes are more readable

(I can't vouch for the correctness of those tho lol I just started learning about the Rouché's theorem)

I have been trying to keep up with the material discussed in lectures on commutative algebra and agebraic methods. with each lecture there is a set of homework problems to solve and I predefined a standard for myself that this week it's alright if I don't do the homework because grinding for the test is more important

I made some pretty notes on valuation rings

during the break I need to study finite and integral ring maps and valuation rings for commutative algebra course; resolutions, derived functors and universal coefficients theorem for algebraic methods course. I feel pretty good about the test that's coming up. sure, you can never be too prepared but so far I've been able to solve a good part of the problems I tried, so I should be ok

Thinking about how when my oldest brother took Japanese classes his professor was like your pronunciation is really good 😊 but you need to watch movies that aren't about the Yakuza because you sound like a criminal

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

7 X 2022

my first week is over. I'm tired and I can tell already that it will be a hard semester. I have already spent more than 15 hours on my complex analysis homework and I solved 1 problem out of 10, ugh

this subject is gonna give me major impostor syndrom lmao I know that these problems are putnam level difficulty but it's frustrating to have spent the whole day on something and fail. and I'm not kidding, I have a book on problem solving techinques for putnam and the exercises there are easier than those we do in class

one could say I'm bragging but it doesn't mean anything if I can complete only 1 of 10 problems which is a trivial corollary from Vieta's and took me about 4 hours to realize anyway

algebra homework was relatively easy, I discussed it with a few people who also take the course and together we completed the whole thing

for now I still have the motivation to try to look good so this week I've been pulling off dark academia aesthetic

I am afraid of my brain because it likes to give me meltdowns right when I need my cognitive performance to be reliable. I spent the whole holiday working on coping skills so I could spend less time sitting on the floor and crying

I spend most of the time with my boyfriend studying together. having a body double really helps

are you a girl?

I am, but I thought that was obvious given that I have a picture of me in my icon.