10-12 VIII 2021
finished the basics of the measure theory and god am i in love
sleep: ok
concentration: good
phone time: good
yeah so now i know what a measurable set and a measurable function is, i'm on my way to lebesgue integration. however, i don't have the intuition for measurable functions yet, just the basics. there are those two theorems that i merely vaguely understand and idk barely can touch them. one of them is lusin, the other one is frechet. they seem very important as they deal with continuity of a function in the context of measurability. and do we love continuous functions my dude yes we do
tomorrow i plan to solve some problems concerning measurable functions and then do topo. i must admit, measure theory devoured me entirely recently and i had a break from topo. gotta fix that. and possibly do some coding
Very funny when mathematicians call weird edge cases "pathological".
Mathematician looking at a function that's continuous everywhere but differentiable nowhere: yeah that function has something wrong with it.
Master Control Program
A minimal 74 knot on the simple cubic lattice
(source code)
me : I love learning new things
Me when it’s time to learn anything new that I’m not instantly good at:
doing (basic) algebraic topology in this context feels like going to that jungle and saying you know what bring this thing down we are building a city here. everything is a CW complex, everything is euclidean, and compact or paracompact if it must, all of this so that we can forget about sidestepping around topology and do algebra in peace lmao
Measure theory and topology both have this great flavor where you give the most minimal possible definition for the thing you want and then you get all the nice properties, except no, your definition is soft enough to allow crazy nonsense counterexamples hiding behind everything that you have to carefully sidestep around. It's like doing math in a jungle
that sounds a bit like mystery flesh pit national park
I’m Christian and respect the order of creation as God intended it but I’m not gonna lie if I could take a massive vat of agar and grow an alive shopping mall made out of red blood and meat and feed it living human bodies to make it expand larger with more shops and amenities, Without hesitation, Without question I would do exactly that
13 III 2023
I remember putting it in my bio a while ago that I dream of doing actual research one day. well this is already happening, as I mentioned in some post, my advisor found an open question for me to write my thesis about
the progress for now is that I'm done with most of the reading I need to do to tackle it and I'm slowly moving forward with thinking of ideas for the solution (or at least a partial one)
this is what I want to do for the rest of my life: reading papers and trying to write my own ones
ofc I don't know if I manage to solve the problem or achieve anything at all with it but the process itself is fun
other than that I've been catching up with homeworks and assignments from work. fortunately I found an MIT lecture recordings for statistics so hopefully I might not die from boredom
watching probability and stats lectures from MIT has been my relationship's idea of netflix and chill for a while now, gotta cultivate the tradition
the algtop professor asked us to write down a full detailed solution for an exercises we did in class, because the person presenting was unable to explain it so I sent him mine
I don't know yet if it's correct but I'm pretty sure it is. I wrote this down partly because who doesn't want extra points and partly because I didn't have a chance to present it, the person who did was faster
I like how my life is right now, I want to keep it that way
but how is this related to adhd? I'd say my ability to have fun is diminished because of the dopamine deficiency, I'm basically constantly bored, and afaik adhd increases the risk of substance abuse disorders, so I don't see the point of bringing up adhd in this context
Me: I don't take alcohol, smoke weed or do any other substances.
Everyone: Omg!! then how do you have fun??
Me: I have ADHD.
yeah I say that I'm vegetarian because the texture of meat fucks with my sensory issues. I would know if the meat in my meal was real and I would probably throw up and have a meltdown, then proceed to have my day ruined. I can't believe someone actually could put me in such a position jfc
Look I clown veganism often enough but really, truly, don’t ever fucking feed somebody something without their knowledge or consent. It’s hugely fucked up and not OK.
mood: filling an open set with dyadic cubes and pretending this is studying measure theory
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
⁕ pure math undergrad ⁕ in love with anything algebraic ⁕
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