randomness

 5/25/2025 is a pretty date :) okay so i'm getting back into posting half-baked things i guess i discovered curius and was thinking of using that other than this but i'm better at conveying myself on a blog? perhaps i read this quanta article on superdiffusion  and it's super cool how mathematicians are able to formalize the chaoticness of things like rubber ducks floating in a river. i'll include the gif from the article here because it's very aesthetic :O soap bubbles!  also the article emphasized the methods  involved in proving the superdiffusion conjecture, mainly renormalization (which i don't really understand) and homogenization (which the mathematicians emphasize is more important that they showed these techniques are very useful).  quantum field theory in general is pretty interesting because it's like modern physics + math, and some high schoolers are doing research in the math part of it ;D which brings me to the next thing i read which was an ar...

i've officially closed out one chapter of my high school career - ap exams! which means now i have a lot of time on my hands to do things i'm interested in :) last week i read this article  except i didn't understand a lot of it. but topology is cool! and it's pretty sad if you write a whole book on something that is only a few months later proved to not exist a lot of cool quanta articles popped up in my newsletter so i hope i can read them all and update this. in terms of other tech-related news, i heard about alphaevolve, which has been causing a lot of stir on the internet recently! in a later post i hope to dive further into the developments of google deepmind which are very relevant to the intersection of math and cs. i also heard about vibe-coding, a term coined by andrej kaparthy. there are tools like cursor.ai that help with writing code; i hope i can test it out soon and show you the results. i feel like it is still important for us to not be so reliant on ai ...

i currently i am busy with worrying about aps and thus giving myself lots of unproductive dopamine so i haven't had the chance to learn interesting stuff.  i made this mindmap for extra credit in my ap lit class; i analyzed the character Gogol Ganguli from The Namesake . i didn't really like the book but it grew on me as we analyzed it more. i still don't really like the namedropping. i also recently read "Escape from Spiderhead" from  Tenth of December and it explored a lot of themes relevant to love and morality which was... interesting. nothing else really. i've been attempting to think more about my math project with no success, and my ai probes have very low accuracy .-. will be chugging through more work once aps are over here are a few song recommendations though i started a dreamy and sweet kpop playlist  and made the cover image myself with befunky hitgs is a new group and i really love their music! here's their debut single album with "sour...

 i guess i'm just a girl who loves half-baked things. go to maybe an about page i'll create with some more info about myself. here goes a low quality blog that hopefully doesn't reveal too much about myself while accomplishing what i want, mainly to share what i've learned and what hobbies i like i guess i hope i can write something out everyday, and this will be a good motivator for me to continue exploring what i love i just read this quanta article on how the physics principle of spin glass contributed to the idea of a hopfield network, which is a form of an rnn that has "associative memory." hopfield networks influenced the boltzmann machine and modern neural networks. their creators, geoffrey hinton and his colleagues, won the nobel prize in physics this year for their work in this area. this article  is a good refresher on some ai concepts.  this other article on the fusion of math and cs for proofs is especially interesting because that is sort of what...