#serious-discussion

1 messages · Page 130 of 1

leaden torrent
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and walked through how one would derive the multiplication rule from composition

static loom
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I remember then learning to invert a matrix it's doing RREF

leaden torrent
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i will confess though that i never think about (a×b) @ (b×c) → (a×c) in terms of maps though

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i just memorize it

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even if the commutative diagram intuition is much nicer

static loom
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oh

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like AB I imagine the columns of B as vectors all being mapped, hmm I don't know if that's something I was taught

leaden torrent
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that intuition is fine too

fervent flame
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are we sure ab this

static loom
leaden torrent
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well maybe i shouldnt say rarely

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but like

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when its obvious then its easy to deal with

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a bigger problem is when its not obvious

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and your losses look fine and stuff

leaden torrent
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i still dont really get why determinants correspond to n-volumes

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like they obey the same algebraic rules as volumes

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thats great

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but i still dont see the direct connection

static loom
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yeah the formula is a bit whacky

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I kind of pretend I'm taking the parallelepiped and then shearing and stretching it by the properties until it's a cube and that all just works out

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the fact that geometry and algebra are related is just the fundamental weird part I think

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like I'm good with the distributive rule and thinking like a(b+c) = ab+ac means we can cut an a by (b+c) box into two separate ab and ac boxes

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and then work up from there lol

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like triangles are bh/2 but doesn't actually matter where the point is for the top that you measure the height from, so you start learning intuition for shearing at a young age as well

leaden torrent
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yeah no i get why shears dont affect volumes, its more that i struggle to see the connection between the mathematical transformation and the geometrical warping of the plane

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like i can derive it

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but it doesnt come instantly to me

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i need to think

static loom
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I think another thing that I wish I understood sooner is, a linear operator means knowing where some basis vectors are transformed to tells you where all vectors are transformed to

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instead it's like, "this is the definition of linearity: some axiom rules" which wasn't really helpful imo

leaden torrent
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yeah thats more of a central pillar of mathematics than of scientific disciplines in general

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but it is still a good one

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the notion of generators and bases

static loom
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yeah, to be clear I'm saying that once you make the first claim, you can pull linearity out of that

leaden torrent
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sure

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i think its obvious why linearity is "nice" even if you dont really understand that though

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linearity is basically just saying "everything you want to do with this function from your high school classes, you can"

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at least in R^n

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it distributes, you can take inverses, etc

static loom
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one kind of mystical thing to me is

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well let's say I give you a matrix A, then when can I find another matrix so that when you look at all its rows, their dot products with the columns of A make 1 if they have the same index 0 otherwise, while also viewed as its columns, their dot products with the rows of A make 1 if they have the same index 0 otherwise?

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sort of an obnoxious way of asking when does A have a left and right inverse

terse slate
leaden torrent
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well yeah thats a case where the function composition definition makes way more sense

river moon
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I still kinda wonder what makes gradient norm in ML problems vary so much even if the function is convex, I recently produced this graphhmmCat

leaden torrent
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idk enough about ML to answer that

static loom
fathom swallowBOT
raven plaza
visual breach
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Woah

river moon
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what details do you needhmmCat

fervent flame
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what is the function in reference

river moon
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it's logistic regression

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$-\log L(X;w) = \sum_{i=1}^l \log (1+\exp (-y_iw^\top x_i))$

fathom swallowBOT
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Transparent Elemental

fervent flame
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oh its just the logistic

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and the noise wasnt due to train/val sampling?

river moon
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this takes entire data set per iteration

fervent flame
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hmm idt ive ever paid attention to concavity, ive always just assumed the lr was high whenever i see similar behavior

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is it documented/known that its due to convexity?

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thatd be news to me

river moon
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no I was saying Idk why it's happening if the function is convex

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I just didn't observe this that much outside of ML problems

fervent flame
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oh ic oooh

river moon
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this is the kind of thing that usually happens (some random nasty function and LASSO regression)hmmCat

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(don't mind the peaks on the first picture)

fervent flame
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right

fervent flame
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o wait what, k is epochs/iterations right? do u remember if the peaks/dips were single points?

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could there have been floting point issues? depending on the number of points its plausible

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or maybe not, theres jagged behavior at the start as well

river moon
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the peaks are there because I'm using restarted FISTA algorithm, which behaves much nicer if I restart it, the restarts happen precisely when the peaks do

fervent flame
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(im referring to the original one, not that)

river moon
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and I think on smaller problem too, this one isn't even that big as well it's like maybe a 100 objects with 6 features

fervent flame
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hmm, i guess im not too familiar with that behavior when not using batches, as pretty much every problem ive ever worked on i use them

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at least outside of intro classes where the fits can be perfect

strong zealot
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What do you guys think of stack exchange?

glass peak
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Helpful sometimes, 90% of the posters are deranged

vernal token
glass peak
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Have you ever looked at a stack exchange post? You’ll get a 10 year old stuck factorising a quadratic and the top post will start with some grad level commutative algebra. Either that or you’ll ask a perfectly good question and someone will have a breakdown about formatting and or close your post because there’s a 13 year old unanswered question that’s vaguely related to yours.

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I’m being hyperbolic obviously, stack has helped me a lot but like some of the people that use it are just weird

misty zinc
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ypoooooo

cobalt reef
karmic pier
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@cobalt reef use one of the help channels but i'll help for this time

gusty sinew
karmic pier
rocky shuttle
little vine
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I want to try 1v1 on brood war but it intimidates me

vernal token
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Most of the people who close the questions seem to search with Approach0 (https://approach0.xyz/search/), so after you search with that and Google, there shouldn't be any duplicates one can find

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Except out of memory, of course

quasi jettyBOT
ripe needle
ember goblet
chilly wharf
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how do you get the helpful role
like where does it get counted that you helped a person

pearl crescent
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Dm if u can help me

split pawn
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Huh

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What

split pawn
quasi jettyBOT
split pawn
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@ocean harbor my favourite gifs are gone. What did you do to my discord

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What did you.

ocean harbor
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What

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I didn't do anything smh

subtle karma
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Can anyone help me with how to prove that the improper integral of root(cot x) 0--> pi/2 is convergent ?

quasi jettyBOT
split pawn
ocean harbor
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I finished the linked list assignment

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Idk what to do but imma do smth useful for myself

split pawn
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Good

ocean harbor
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?

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I don't get it

unborn lintel
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yo

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wassup

split pawn
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Sorry. Ignore the for

ocean harbor
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Oh alright

sonic silo
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How many odd numbers over 40000 can you make with the digits 7 1 2 5 8 used each only once? Could someone run me through how to do this? Thanks!

sullen sand
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does anyone know if there are any videos of serge lang giving a lecture or talking

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i haven't been able to find anything, i want to see if he talks like he writes

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that would be so funny

little vine
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I'd fall asleep

little vine
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Maybe I'll self promote here

neat lintel
ocean harbor
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I drew something silly on the board during my cs class today

dry drum
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@pulsar ravine I had seen in the Book Recommendations channel a thread about the historical intuition of algebra. Could you explain what you meant?

I don't think you meant that algebra was necessarily easy, but I'm curious.

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Do you mean from an applied perspective (doing calculations) or from an intuition/motivation perspective?

pulsar ravine
dry drum
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I suppose it's possible we have different ideas about understanding, though.

pulsar ravine
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Yes certainly, but the intuitions have revealed themselves through their discovery, regardless of application. With modern application though it's the difference between a gifted genius and talented student. Even if something takes more time to learn that doesn't mean you don't understand it, just that it takes more time. If it's so alien that is difficult, then the intuition is more foggy or closer to 0.

shadow ruin
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Where I can find someone how can explain some research papers in approximation theory

dry drum
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I don't think there's any doubt of, for example, non-euclidean geometry or topology being less intuitive than elementary algebra.

But students in high school and college are asking pretty profound questions during their algebra classes.

It's good enough to know what a variable is, how to add something to both sides of an equation, and that stuff is very obvious to everyone, I think. But as to why it works, that question isn't even answerable without abstract algebra and number theory.

Things like the Peano Axioms are non-trivial. Ignoring Godel's incompleteness, an absurd amount of work was being done in the 19th century to prove what numbers even are. I think you could reasonably train a monkey to do division, but "why does division work" isn't an easy thing to answer.

In Courant's book "What is Mathematics": "We learn in school the mechanics of handling fractions and negative numbers, but for a real understanding of the number system, we must go back to simpler elements."

Number Theory as a study only exists because while it's easy to say "take this, add it to that, and so, on," but it's much harder to answer why it's the case. Is it divinely inspired?

For example, in Principia Mathematica, it takes them something like 200-300 pages to prove that 1+1=2.

neat lintel
dry drum
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Apologies for the long writing. But a good deal of pure maths in the 3rd and 4th year is very non-trivial explanations of what is actually happening with an equation, why it works, etc.

Maybe I'm just stupid, but I didn't understand the "why" behind Algebra I and II until abstract algebra and, to an extent, real analysis. Maybe I am stupid lol.

But I distinctly remember asking in high school the why behind how algebra worked, why we are able to do thsee operations, why they work, etc., and I don't feel that I had those questions answered until my 4th year of college.

deep mango
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I would suggest that the criteria for understanding here are too strong

pulsar ravine
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Hmm well sometimes we all have those 'aha' moments that teachers never give us

dry drum
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I really don't know how one can even try to understand why algebra works without field and ring theory. I think children are asking serious questions that are above their paygrade.

deep mango
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Understanding doesn't need to mean being able to give an axiomatic explanation for an idea

dry drum
pulsar ravine
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But rediscovery through practice is definitely possible

deep mango
solar hawk
dry drum
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One can do calculations in calculus, but you don't understand calculus until analysis.

solar hawk
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in that exact same font

deep mango
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Understanding to me has very little to do with seeing formal proofs

pulsar ravine
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And in the context of the genius vs talented student, both will reach the same conclusion given enough time

solar hawk
dry drum
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Engineers can do calculus for a very, very long time, with four classes of calculus, but it fundamentally isn't what calculus is. No matter how many times you rep out problem sets.

deep mango
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You can understand why something should work via heuristics, well chosen examples, having done lots of representative calculations, etc

pulsar ravine
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In essence, math is man made, so it should be able to be understood by man

deep mango
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You can tell someone why riemann sums converge to an integral and are a good tool for defining integrals without doing any proofs

dry drum
pulsar ravine
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Easy in the sense that difficulty varies depending on environment and intuition

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Diet math isn't fun

dry drum
pulsar ravine
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You don't go to burgerking to understand why the burgers are made

deep mango
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And especially for basic algebra, you can definitely see why things like solving linear equations or completing the square of a quadratic or things like that work in a variety of ways, from geometry to agreeable manipulations to explanations by words

dry drum
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Pretty much immediately after the creation of calculus, people were unhappy and needed analysis to say "but why."

dry drum
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Rigor is the reality of math.

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There is no math without rigor.

pulsar ravine
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Even abstract algebra is like a godsend

deep mango
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I would argue that rigor often stifles math

dry drum
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I cannot think of a single example in which that's true.

pulsar ravine
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Bro 1000%

deep mango
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Why are the physicists so far ahead of mathematicians in developing mathematical physics?

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The shit they come up with is all right

dry drum
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Because pure mathematicians don't care about physics?

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And care about pure math?

pulsar ravine
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That not exactly true

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Physics is very active

deep mango
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Yeah, but there's a lot in the intersection especially in modern physics and modern pure math

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In just about any field of pure math

dry drum
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I'm a pure mathematician and I care about physics, but I couldn't care less if my research ever leads to something useful.

deep mango
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I think that's fine, but it's separate from whether or not one benefits from working on math with the mindset of a physicist sometimes

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Published proofs should have been established rigorously certainly

pulsar ravine
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Pleasure vs sport

deep mango
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But a lot of math happens in a different order from that, starting with heuristics, getting blocked into broad flavors of arguments and groups of conjectures and partial results

dry drum
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I'm absolutely confident that doing lots of calculations is valuable to a pure mathematician. I've worked through many engineering books. I think it's useful.

But mathematics is completely nonsensical without rigor. You literally cannot expand upon math without rigor. You must have rings and fields before you say "okay, now that we know what algebra is, let's do this with it."

solid snow
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this is a recent development in math

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math was done "without rigor" for longer than it's been done 'formally'

pulsar ravine
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Personally I think math should be made easier and more accessible

solid snow
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the math is still the math

pulsar ravine
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You can't viably use something so difficult it's alien

solid snow
deep mango
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Okay, how about this. A lot of euler's theorems were conceived in the absence of any kind of algebraic or analytic formalism. Would you call all his results conjectures?

dry drum
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Relative rigor.

pulsar ravine
solid snow
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because of?

neat lintel
solid snow
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that was the primary reason?

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not... the lack of other written texts and a long standing tradition?

pulsar ravine
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Amen

dry drum
deep mango
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I think rigor is really important for learning math but it's not usually how one gets into understanding math that hasn't been explored yet

solid snow
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you are saying this after the fact

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after mathematics has been formalized

dry drum
pulsar ravine
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I think it's more apt to say that Elements is just straight up useful

solid snow
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sure but i disagree that its popularity was because it was "rigorous"

dry drum
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I'm assuming I'm the only pure maths major here lol.

deep mango
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???

solid snow
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lol what

deep mango
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Yes because im a pure math phd student...

solid snow
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im the only pure maths major in the mathematics server

dry drum
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I'm leaving the library now, so I'll respond later. Take care

neat lintel
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blud used his library time to argue on the internet... he's just like me frfr

deep mango
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I also will say we get a lot of undergraduate pure math majors (especially first and second year but with advanced background) who have a very strong fixation on rigor, one which tends to ebb away after they work on some kind of research project or maybe start preparing for grad school / start grad school

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(and then there's the 10% of them that go into foundations)

dry drum
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anyway, I'll respond later

solid snow
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and even that is overkill for "understanding" basic algebra

deep mango
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That's actually the 10% of the 10% that does foundations but doesn't believe in rigor

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Modus ponens is false

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Anyway the rules of math are just culturally conceived, especially the proof theoretic rules, so it's kind of hard for me to buy any absolutist notion of mathematical understanding

solid snow
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rigor is cringy until you use your rigorpowers to outrigor treatments you disagree with

pulsar ravine
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I'm not a math major, just CS but curious about its history and application

deep mango
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Especially when the evidence is that mathematicians force math to work a certain way rather than math forcing mathematicians to work a certain way. Plenty of people get plenty of good math out of nonrigorous argumentation

pulsar ravine
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You hear things like "we don't need this" in school a lot and math quite literally ails students physically

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I'm not good for rigor though as I burn all my books and notes

alpine comet
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tbh, I still feel the same toward many topics in math

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Category theory, logics, model theory, and to some extend, cohomology, are some in this group

deep mango
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What way is that

alpine comet
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it's sad that we don't see so much motivation when it comes to math

deep mango
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All the alg toppies i talk to say that you can do as much hom alg as you want but you won't understand anything until you compute a ton of examples

solid snow
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math history is a bit difficult to scrounge up at times

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its a bit neglected

deep mango
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I don't think that mentality is really there for like. Modern alg geo though

alpine comet
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Field theory makes absolutely no sense to me until I understand Galois theory

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Ring theory, the same, until applications to number theory, and intro to alg geo

solid snow
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some textbooks attempt to motivate stuff and play the role of historian, but i don't think there are individual stand alone books that are all exposition with titles like "History of Differential Geometry"

alpine comet
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in some sense, I do understand why that approach is not popular. It's too slow for the usual pace, you won't get anywhere fast with that style. Plus, if you actually do Diff Geo the way Gauss did, or group theory the way Galois did, you will find it completely horrendous.

deep mango
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Usually it's like "this new thing we're going to study comes up in this other part of math you already know" or "this new thing has a picture that suggests why you might care about it" or "the results we are going to prove will end up being useful for understanding this other thing you've heard of"

alpine comet
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But math courses usually take too long to get to the interesting stuff

deep mango
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People can do the interesting stuff themselves! Someone needs to force them to take their medicine

alpine comet
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Why not both?

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instead of building field theory from ground up, you can teach about field theory the way Galois did it originally, and draw parallel lines with modern field theory and how it has changed

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That will teach the students more than the math. That teaches them how to think about something new

rapid garden
solid snow
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🤷

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that's a bit of the problem. the resources for learning about that sort of stuff are either lacking or obscure

alpine comet
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Galois theory by Stewart, 4th edition.

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he didn't completely include Galois' original memoir, you can find translation of that online. But he did build Galois theory ground up, added a lot of historical context, and explained precisely what Galois actually achieved.

alpine comet
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Most ppl forgot what it was like when they were beginners

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'ttends, t'es français?

rapid garden
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yea seeing the historical context would be great

rapid garden
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brain not braining properly

alpine comet
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if you do speak french, feel free to look up Galois' memoir xD

solar hawk
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is galois french

rapid garden
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galois biggest loss was that he was french

solar hawk
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oh

rapid garden
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historians say that’s most likely his cause of death 😦

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he probably surrendered in the duel

alpine comet
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If only were he German, he would have thrived like Dirichlet or smth

rapid garden
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or hungarian

alpine comet
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his character was not fit to the concours at the time

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or even today's concours

rapid garden
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wasn’t he rash?

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well

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yeah probably

little vine
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,w galois

fathom swallowBOT
alpine comet
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I feel sympathetic toward him, I almost threw chalk to the examiners when I took the concours myself

little vine
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Who was the mathematician who finally noticed the importance of galois' work?

alpine comet
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around 1850s, some French guy

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what was his name, I forgot

rapid garden
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lioville

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?

little vine
little vine
rapid garden
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the guy that did the 0.1010010001… is transcendental

solar hawk
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there is a pattern tho

little vine
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Also the best theorem in CA

little vine
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It's not a normal number

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One of the few we can say is not normal iirc

solar hawk
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Oh I mixed stuff up

alpine comet
solar hawk
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Irrational and transcendental

rapid garden
solar hawk
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Is e patterned

rapid garden
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well i said most patterned numbers are transcendental not the other way around

solar hawk
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oh ok

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but is it

rapid garden
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as long as the pattern doesn’t repeat yk

solar hawk
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wait

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yes it is ig

rapid garden
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e has no apparent pattern in base ten

solar hawk
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wait

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whats a parrtern

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cuz there is a rule for e

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its sums of 1/n!

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isnt that a pattern

little vine
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Say 1/p(x) is entire for polynomial p right?

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*p(z)

rapid garden
solar hawk
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huh

rapid garden
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i thought u meant the decimal

solar hawk
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no yea but

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there isnt a pattern in the decimal ig

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but doesnt theother thing

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count too?

rapid garden
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idk the term pattern isn’t rlly precise

solar hawk
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ok

rapid garden
solar hawk
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im confus 😭

little vine
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Homophobic everywhere

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Omg

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Holomorphic

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I was mixed up in my definitions

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I'm thinking about a proof of FTA

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It used Louiville theorem

noble pagoda
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what is the age thing for this server

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@quasi jetty what is the age

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/age restriction

little vine
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13

noble pagoda
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oh i am 13 lol

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ehheeheheh

little vine
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Skibidi

ocean harbor
glass pebble
#

how is the "x solutions remaining" score in wordle solvers calculated?
I'm looking into creating a wordle opening book of sorts, where the first and second move is "theory", essentially
obviously, I can't put down all 3^5 (243) possible results from the opening word(salet, in case you're wondering)
An idea is to treat greens and greys the same, but in order to even do that, let alone figure out if that's a good strategy, I need to figure out how "wordle eval" works

neat lintel
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Math is too hard

little vine
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Not

neat lintel
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Yes it is

little vine
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If I can do it anyone can tbh

neat lintel
little vine
#

What're you talking about

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Have a growth mindset

neat lintel
#

Math is too hard

neat lintel
little vine
#

I agree with you but you can also increase your chances of success

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You know about self fulfilling prophecy

neat lintel
little vine
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Hm books are pretty necessary

naive solstice
#

hi

split pawn
#

Okay so.

little vine
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If you're motivated enough you can learn anything on the cheap

split pawn
#

What about the ventricles.

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Bruh PPL discussing here too today. Fr.

naive solstice
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and the venticles are the lower chamber that pump blood to the arteries

neat lintel
little vine
#

Are you?

neat lintel
split pawn
naive solstice
split pawn
#

So here's the thing

hidden bough
little vine
#

Look at Ramunajan

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Spelling

neat lintel
hidden bough
naive solstice
hidden bough
#

ramunajan

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lmao

split pawn
#

Atria will collect blood from different parts of the body.

little vine
#

That was auto complete

split pawn
#

And Ventricles will pump it to different parts of the body

naive solstice
#

ok

split pawn
#

Yeah.

naive solstice
#

so the question is

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How do they differ in structure and function?

neat lintel
# little vine Look at Ramunajan

Ramanujan wasn't a pow or a refugee fighting for survival without basic necessities. He had to deal with poverty but he had resources and time to learn

split pawn
#

What about the size...

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Well there's your first functional difference

little vine
#

What's your point here?

naive solstice
#

o

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so is one bigger or smaller

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or

split pawn
#

Yeah

naive solstice
#

ok

#

which one is biger

split pawn
#

On the same side of the heart

little vine
#

That I'm wrong to say anyone can learn if I can?

neat lintel
split pawn
#

The ventricle is bigger... So like... The right ventricle is bigger than the right atrium and same for the left

little vine
#

Ok

#

You got me

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But

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Don't give up was the spirit of the statement

hidden bough
#

not like

little vine
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Exactly

hidden bough
#

being able to afford books

naive solstice
split pawn
#

Okay... So tell me.

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Where does the blood come in first.

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Well you could also just tell me what is the direction of blood flow in the heart. That's pretty important

naive solstice
#

bone marrow?

split pawn
#

...

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You mean the whole body? And bone marrow is just for RBCs

naive solstice
#

o

split pawn
#

There's many places different components of blood are made

naive solstice
#

one direction is the bloodflow in heart

split pawn
#

Well yeah.

#

So ....

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Where do we start... Blood comes into the heart.

neat lintel
split pawn
#

Where and how?

naive solstice
#

.

hidden bough
naive solstice
#

wym by that

hidden bough
#

his point was that if he is bad at math and he can do it, anyone can do it

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i disagree with him being bad at math but thats besides the point

split pawn
#

So what chamber of the heart does the deoxygenated blood enter

naive solstice
#

right ventricle

split pawn
#

I think here you also need to be acquainted with deoxygenated and oxygenated blood.

little vine
#

@hidden bough thanks homiecatKing

split pawn
naive solstice
#

i did

little vine
#

I don't think I'm super talented I just love it so I spend time at it

neat lintel
split pawn
#

So does the ventricle pump blood out of the heart or recieve blood

naive solstice
#

pump

hidden bough
naive solstice
#

/oh so art

naive solstice
#

atria

little vine
#

LMAO

split pawn
#

Which atrium

#

Right or left

hidden bough
#

it's such a great sketch

naive solstice
#

idk

little vine
#

Yes

split pawn
#

Heh

#

What n

naive solstice
#

?

split pawn
#

What .?

neat lintel
#

Anyway math is too hard

split pawn
#

You don't know?

naive solstice
#

im not sure

#

yes

hidden bough
naive solstice
#

left?

hidden bough
#

ergo, so can you

#

especially if youre not stupid

split pawn
#

No

little vine
#

I will say it's difficult to succeed at things you don't like. Because then you need toms of discipline

naive solstice
#

so right.

split pawn
#

Fr this channel is talking today

little vine
split pawn
#

It used to be shush here

hidden bough
#

is true

naive solstice
#

so what is the conclusion

hidden bough
#

also "again"?

neat lintel
little vine
#

He's going to talk about meritocracy now and the conversation will begin a new

naive solstice
#

MUHAMMED

naive solstice
#

why did bro just dip

hidden bough
#

if we're both stupid and i can do it

#

so can you

neat lintel
hidden bough
#

how is this meritocracy opencry

#

this is basic logic

#

if i have low skill and can, and you have low skill, then you can too

#

(low skill=>can)^(low skill)=>can

neat lintel
hidden bough
neat lintel
hidden bough
neat lintel
hidden bough
#

the freaking spiritual demon land?

neat lintel
hidden bough
#

what kind of skill is there other than in the real world

solid snow
#

Is this just an exercise in pedantry

hidden bough
neat lintel
neat lintel
neat lintel
neat lintel
onyx timber
#

anyone here good at Fourier transform? Just need some help

little vine
#

If it was too hard no one would succeed

neat lintel
little vine
#

What math are you studying btw

neat lintel
little vine
#

Don't get me wrong it's difficult but that's why it's worth doing

neat lintel
little vine
#

needle in the hayyyyyy

neat lintel
little vine
#

Math is worth doing. It's awesome

#

Don't you want to unravel such gallant splendors

neat lintel
little vine
#

Did you write this?

neat lintel
# little vine Math is worth doing. It's awesome

If math is so awesome, then why did grothendieck rip up his papers towards the end of his life and renounce mathematics and say that noone should study algebraic geometry or has the right to use his works

solid snow
little vine
#

Let me get headphones

neat lintel
#

Would appreciate if you guys could give it a listen and follow me

little vine
#

I'll critique your mix

#

It's pretty good

#

Good beat

#

Mix sounds pretty good on my beats too

little vine
#

In my experience

pulsar ravine
#

Bro is setting a fire to his own temple

neat lintel
# little vine If you don't already get it it's hard to make you get it

Wikipedia says that grothendieck wrote about how the mathematics community was "a guilded cage" and "governed by competition and status" because grothendieck had a "deep compassion for the poor and the downtrodden". And "the issue of military funding was perhaps the most obvious explanation for Grothendieck's departure from the IHÉS". To me it makes a lot of sense why grothendieck thought mathematics sucks.

pulsar ravine
#

Math teaches how to increase your chances of success and reduce chances of failure

#

It's worth studying for that reason alone

little vine
#

@neat lintel why are you in the math setver

pulsar ravine
#

It also sucks like any other tool but should be utilized to the extents necessary

#

This doesn't sound like an issue with math though, as any community has it's limitations

little vine
#

For someone who hates math you sure love grothendieck

#

He was my algebra professor's fave

pulsar ravine
#

You're worrying about the personal preferences of a dead guy?

#

All history

#

Do you like to study math or not

#

To the extent of aligning your own views with their own?

#

Study for your own sake not the opinions of relics

#

Your reasons probably aren't 1:1 with theirs

little vine
#

He thinks it's useless

#

As if he's not using technology atm

pulsar ravine
#

That's very ridiculous

#

Yeah ikr

#

Saying math is useless is like saying you aren't human bro

neat lintel
pulsar ravine
#

I'm not sure what you're arguing then

neat lintel
pulsar ravine
#

Cause I hate math, but not about to get all neo political about it

#

Ofc it's hard

pulsar ravine
#

Breathing oxygen is hard

neat lintel
pulsar ravine
#

There's no reason not to be able to use it with literal free internet and other alternatives

neat lintel
#

Breathing oxygen IS hard, and math is too hard.

pulsar ravine
#

Ok, why is math too hard?

neat lintel
pulsar ravine
#

Is that your only reason?

neat lintel
pulsar ravine
#

I think you're confusing academic math with the pursuit of knowledge

#

Without a curriculum, there is only the math

#

In what way is this hard?

neat lintel
pulsar ravine
#

Ok so?

#

How does that affect your learning

neat lintel
# pulsar ravine Ok so?

So you can't really escape the elitist element even if you say 'you are pursuing knowledge'

pulsar ravine
#

Change schools, change teachers, change books

#

Regardless of elitism each individual still has ultimate agency in the learning process

neat lintel
neat lintel
pulsar ravine
#

What is bro talking about

solid snow
#

is that specific to math?

#

this happens in any field when you go deep enough

#

and langlands is definitely deep enough

pulsar ravine
#

Bro thinks academia = math

#

There are alternatives and you don't necessarily need any of those things to learn or practice math

neat lintel
neat lintel
pulsar ravine
#

At any high level things become more constricted

#

Be the change you want to see

#

It's just the curse of awesome

neat lintel
solid snow
#

how exactly do you want langlands to be translated for the lay person

#

or accessible for that matter

pulsar ravine
#

Arguably I think there are more PITA things than math

solid snow
#

because there's a heap of prerequisites before getting to it

pulsar ravine
#

But human production has always been constricted throughout history

#

Learning is hard, but teaching is even more so

#

I think AI would be the perfect solution for you

neat lintel
solid snow
#

because it's written for the audience working with it

#

???

pulsar ravine
#

Professors just write that because they are lazy

little vine
#

Mmm pita

neat lintel
solid snow
#

i said people working with it

#

not just any ambulant reader

neat lintel
solid snow
#

so technical literature = elitism

pulsar ravine
#

It'd be nicer if books were written more generally, but what do you expect out of select text written for select individuals with specific knowledge????

#

Everyone has technical knowledge, that has nothing to do with accessibility

solid snow
#

the "this theorem is easy/obvious/easily verifiable" is endemic to mathematics because writing out theorems that mathematicians at that level should be able to keep up with obfuscates the central idea of the paper

pulsar ravine
#

Lack of ability is not elitism

neat lintel
solid snow
#

i just explained why that comes with the territory

#

the point of a math paper/specialist text isn't necessarily to teach someone completely new to the topic and guide them along

#

it's to communicate results

pulsar ravine
#

To that end, there are still alternatives

neat lintel
solid snow
#

so the words are hurting your feelings?

#

lol

neat lintel
solid snow
#

its literally just a more roundabout way of saying the same thing

neat lintel
solid snow
#

if your'e taking personal offense go to therapy or something

neat lintel
solid snow
#

you dont have to ping reply every message btw

#

that's their own prerogative

pulsar ravine
#

Math is much less elitist now than ever before in history

#

I think your concerns are too politically skewed

solid snow
#

it's not some objective truth that these words carry the emotional charge you're assigning them

pulsar ravine
#

Therapy is a logical recommendation in this instance

#

You need some reprogramming to dilute some of these beliefs

neat lintel
pulsar ravine
#

I don't have a goal though

solid snow
#

you really took the word prerogative and ran with it

pulsar ravine
#

If anything I support you actually

neat lintel
neat lintel
neat lintel
pulsar ravine
#

Since I'm one of those people that were 'transgressed' by the exclusivity of higher education

neat lintel
pulsar ravine
#

Uhh well yeah that's why I'm on this crusade at all

#

But I think you're going about it the wrong way

#

You should just promote more open learning and less 'it's obvious' methods in education

solid snow
#

cool, go find it

pulsar ravine
#

If the advanced book is really good they will even recommend suitable pre requisite material or a refresher chapter

pseudo vine
pseudo vine
#

’its obvious’ is not an elitist tone

chilly hull
#

i think saying trivial/obvious/simple is fine

pseudo vine
#

Yeah

chilly hull
#

[insert function that is obviously continuous]
this function is obviously RI because it is continuous

solid snow
#

the solution for most mathematicians if they're unable to see the proof would probably be to email the author, "hey grand old buddy of mine who authored paper X, can you elaborate the proof for (3)?"

chilly hull
#

yes

solid snow
#

these are your colleagues and peers afterall

#

who you are working with... to prove more math...

pulsar ravine
#

we literally have the internet

pseudo vine
#

exactly, knowledge is easily accessible online

chilly hull
pseudo vine
#

with internet connection you could master almost anything

pulsar ravine
#

Bro is stuck with tomes in Rome or something

chilly hull
#

he said "i assume is obvious to you" and i said "wait how is this trivial"

pulsar ravine
#

Funny story, we called them tablets back then too, imagine

chilly hull
#

moment he mentioned cacuhys theorem i understood

little vine
#

,w cauchy's theorem

solid snow
#

which one KEK

little vine
#

That one?

solid snow
#

cauchy mvt is honestly such a cool upgrade to regular mvt

#

rolles -> mvt -> cauchy mvt

#

satisfying direct upgrade

little vine
#

Oh boy here comes brad

neat lintel
pseudo vine
#

that’s the subjective rule for that server

chilly hull
#

of course if they said it like

neat lintel
chilly hull
#

"is this not obvious to you?"

little vine
#

,w cauchy mean value theorem

chilly hull
#

yeah you are being a dick

pseudo vine
#

If you’re studying deep enough in a field, you wouldn’t bother writing trivial things out

pseudo vine
little vine
#

Rad

pulsar ravine
#

Texting is elitist

chilly hull
#

but saying "this fact should be pretty trivial so let's not write down this part and get to the real meat and bones of the proof" is fine

pulsar ravine
#

Why is this fairly attractive woman sending emojis instead of reddit paragraphs

solid snow
#

this is your own personal preference

#

why do you keep bringing up the stanford graduate math discord server

#

as if this is some supreme authority

#

bandwagon appeal? appeal to authority?

neat lintel
#

i like to use "it shouldn't be difficult" or "it is straightforward" because i usually really mean "it shouldn't take much work and if it is you might be doing something wrong"

solid snow
#

it's unclear which one you're doing here

neat lintel
#

unfortunately this is a lot of words

golden cliff
#

I actually do think that "it is obvious" is almost never the best way to write it

solid snow
#

none of my messages imply that you were alone

#

just that you felt that way

pulsar ravine
#

Are you in university brad

solid snow
#

and cool, you found other people that agree with you? i'm still free to disagree and think that the wording is not as deep as you're making it out to be. it's only ever harmful if it's actively detracting from the paper by hiding key things you're meant to recognize

#

bad writing \neq elitism

neat lintel
flint basin
#

I usually use "it is clear" or "trivial" instead of "obvious", though I guess they effectively are the same

solid snow
#

weird that you're using quotations when that isn't a direct quote

pseudo vine
#

It’s synonymous

flint basin
#

Proof: God told me realshit

#

It came to me in a dream realshit

neat lintel
pseudo vine
pulsar ravine
#

I think they were suggesting therapy cause you seem stressed about it

pseudo vine
#

Okay?

solid snow
#

yeah because it's ink on a book or lights on a screen about math. it's not offensive in any way

pulsar ravine
#

This sounds usual

pseudo vine
#

How is that a prerogative

solid snow
#

lmao

pulsar ravine
#

I think I remember why I hated math now

solid snow
#

this person has me blocked btw

pulsar ravine
#

LOL

pseudo vine
#

this is kind of funny

pulsar ravine
#

Ikr

solid snow
#

i use it but not to continue opening messages of the users i blocked what

pseudo vine
#

I don’t block people unless they’re being annoying like DM spamming, blocking people in an argument proves their point as you can’t find an effective counter to their statement

pulsar ravine
#

When the ex contacts you

pseudo vine
#

dealing with exes are amusing

neat lintel
solid snow
pseudo vine
#

I’m an online dating veteran, I date people online simply for their information while offering information in return

pulsar ravine
solid snow
neat lintel
pseudo vine
neat lintel
storm sage
pulsar ravine
#

If you become a teacher

solid snow
#

i personally find "it's obvious" rudin style of writing to be obnoxious when its in intro texts, but im also bad at math so

storm sage
#

Also this conversation seems really unproductive

solid snow
#

maybe it is obvious to someone

neat lintel
quiet quest
#

does anyone in this server think they are good at math

storm sage
#

Don't just tell other people to seek therapy because they think a style of talking is upsetting lol

pseudo vine
#

If I become a teacher, I’d use ‘it’s trivial’ pretty often because I believe in condensation of knowledge

small dust
#

none of the ones that are good at math do

little vine
#

Oh g is the identity function for the special case of mvt

pseudo vine
pulsar ravine
quiet quest
neat lintel
solid snow
pulsar ravine
quiet quest
#

so its chill

pseudo vine
quiet quest
#

al jebra

storm sage
#

al-jabr

quiet quest
#

smthn weird like that

storm sage
#

weird?

quiet quest
#

yes

#

its weird to ME

#

i do not see arabic names

solid snow
#

to mechanical engineering

quiet quest
#

usually

#

besides muhammed

#

and its variants

flint basin
quiet quest
#

he did himself

velvet dagger
#

I think al jabr was the name of the book

quiet quest
#

oh fr

#

whats jabr

velvet dagger
#

While the name of the person was al khwarismi (which is where "algorithm" comes from)

quiet quest
little vine
#

I'd like to get a copy

quiet quest
#

how do you turn khwarismi into gorithm

little vine
#

Idk

solid snow
#

imagination

storm sage
#

it's pretty similar, no?

solid snow
#

i can kinda see it

storm sage
#

kh sounds like g, s sounds like th

quiet quest
#

kinda for the first half

#

what

#

s sounds like th?

storm sage
#

yeah almost exactly the same

pulsar ravine
#

El Algorithmo

quiet quest
#

the tongue placement is similar but it doesnt sound anything alike imo

solid snow
#

i definitely see it now

velvet dagger
#

Alkhwarismi -> alkhworismi -> algorismi (since you don't have the kh sound as much) -> algorithm

storm sage
#

al-jabr means setting of broken bones

quiet quest
#

they metal like that

pulsar ravine
#

These naming schemes are too elitist

quiet quest
#

or idk probably some weird counting thing with bones

pulsar ravine
#

When math and death are closely related

little vine
#

I think it meant the whole from the parts

velvet dagger
#

I mean the actual pronunciation of "Confucius" is more like Contzu lmfao

quiet quest
#

huhh

pulsar ravine
#

Our ancestors were woke beyond understanding

ripe needle
quiet quest
#

bro temporal telephone js crazy

little vine
#

Wasn't Japan zipangu

quiet quest
#

some dude couldnt do the s right and transmitted it as a th

storm sage
#

Actually I dunno how it was pronounced back then, I know how it's pronounced now

velvet dagger
#

Last vowel doesn't cleanly transliterate but

storm sage
#

That's pretty close dami

#

I did not expect that from how you spelled it lol

velvet dagger
#

Yeah no vowel would've really done it super well lmfao

#

Or I guess there's a technically correct way to transliterate but idk it + it has other characters I can't easily write down super easily 😛

velvet dagger
little vine
#

Made it on hardware synths

raven plaza
velvet dagger
#

Yeah Eric knew that, and that's what I was alluding to

#

Just my transliteration made it seem sketch

raven plaza
#

What is damimark's latinized name

twin copper
#

10-10•10+10

#

Try solving if u dare

raven plaza
twin copper
#

Incorrect

raven plaza
#

😭

neat lintel
#

420

neat lintel
static loom
tulip sonnet
#

But using MDAS would be 100

livid wing
#

What information format on the back-end is needed for plotting a diagram in a graphic library for Python? Like, only the symbols are needed and the front-end works from there?
Need a program handy for future me.

ocean harbor
quasi jettyBOT
livid wing
# fervent flame what does this even mean

I need to generate some diagrams, but at some point they get overly complicated to draw on paper and impossible to draw on ASCII screens. Although drawing on ASCII might work as a proof-of-concept for the future program.

fervent flame
#

what do you mean by diagram

livid wing
livid wing
fervent flame
#

this is the least helpful description possible

#

do you have an example

#

is there potentially a language barrier

livid wing
# fervent flame do you have an example

I had to draw on a monospaced notes app because my touchscreen did not feel like clicking the attachments icon:

.
    c
    |
    a--b
     \
      \
       \
        b--c
         \
          \
           c```
I made this to visualize a powerset. You can now guess it is a language issue because I was the "power of a set" guy.
One line links a letter to the rest of a set it is in; a is in {a,b,c}, {a,b} and in {a,c}, b is in {b,c}, c is included in every mentioned set.
fervent flame
#

i am lost

split pawn
#

Hi d2

pearl moth
#

bees are fish

haughty loom
#

hi

#

hi muhammad

neat lintel
#

Hi Muhammad

split pawn
pearl moth
#

not fish are not bees?

split pawn
#

Hi HSF

neat lintel
split pawn
#

I said the converse not the inverse

#

Okay well - cposi

#

I'm trying to call one of my HS friends but he's not picking up the phone

#

Since two days

ocean harbor
fervent flame
#

were u able to understand

fervent flame
ocean harbor
#

Omg this

#

Reminds me of someone's pfp

#

I think layla

sonic sentinel
#

idk why it was like i woke up today and i had infinite energy

#

usually i just fuck around as much as possible a few periods into school but i concentrated for the entire school day (8 periods for me)

ocean harbor
#

Are you undergraduate?

sonic sentinel
#

ye

ocean harbor
#

Makes sense

sonic sentinel
#

my role says pre-uni

#

which part is the makes sense

ocean harbor
#

I'm in highschool and there are like 9 periods

ocean harbor
sonic sentinel
#

?

#

undergraduate means high school or college right

#

as in "you have not yet graduated college"

ocean harbor
#

No undergraduate means in uni or college

#

Pre-uni is highschool

sonic sentinel
#

they should get somebody to fix english what is this convention

#

high schoolers are underundergraduates from now on

sonic sentinel
ocean harbor
#

Canada

sonic sentinel
#

normal people (don't have AP) in my school take 6 periods with 1 other period break

#

almost 7h total

ocean harbor
#

Each period is like 30 mins

sonic sentinel
#

oh ok if its 30mins that makes sense

ocean harbor
sonic sentinel
#

damn you start school late for where i live

ocean harbor
#

(Made this in latex)

ocean harbor
#

The time goes fast

#

For some reason

sonic sentinel
#

we start school at 7:15

#

even at ramadan we have late beginning and early end but that's still like 8:30 i think

ocean harbor
#

Oh right ramadan

#

I think it's same time

#

It's not gonna be change

#

Had to make a new time management for next semester since im doing two math in a row

#

Something called night school

sonic sentinel
ocean harbor
#

Yeah

#

But uni feels 10x faster

sonic sentinel
#

wdym

ocean harbor
#

You blink and it's midterms

sonic sentinel
#

you take both uni and high school?

ocean harbor
#

Nah this is my last year being in highschool

sonic sentinel
#

then how do you know how fast uni feels

ocean harbor
sonic sentinel
#

ah okay okay

ocean harbor
#

Night school is like 6pm to 9pm

sonic sentinel
#

i feel like the 1h period system kind of forces teachers to make breaks in class

sonic sentinel
#

exam cramming?

ocean harbor
#

Nah it's a course I'm gonna do next semester

#

In canada they call it advanced functions

#

I'm doing advanced functions and calculus at the same time

sonic sentinel
#

cool

ocean harbor
#

I don't think I ever gonna done these math very well in a row since I have English and shit

#

But I'll see what happens

sonic sentinel
#

is night school for improving applications or is it just a for-your-own-sake thing or?

ocean harbor
#

It's like an adult school I believe

#

Only above 18+ can do night school

sonic sentinel
#

but why

#

sounds exhausting what're you gaining out of it

ocean harbor
#

I have reasons...

sonic sentinel
#

... ?

ocean harbor
#

I'm doing repeated courses cuz I keep getting strict teachers

#

I've went to three different highschool now

sonic sentinel
#

bru

#

strict teachers like lots of assignments or lots of rules?

#

or both?

ocean harbor
#

Strict teachers im getting like doesn't give a shit if you asked for help or smth else

#

I remember really

sonic sentinel
#

i'd say bad teacher lol

ocean harbor
#

Don't*

ocean harbor
sonic sentinel
#

lmao

#

always-preach-never-teach type people?

ocean harbor
#

ye

#

I think my highschool experience was already messed up since the covid 19 come out

bronze pelican
#

University was easier for me than hs because I got to choose courses I wanted to take

ocean harbor
#

Chad

bronze pelican
#

Ofc material is more challenging but I liked that

bronze pelican
#

Wdym

sonic sentinel
#

idk ive always been told don't think college is easier just because you get to choose/its less in-school time

bronze pelican
#

Its not easy

#

Its not really comparable. I just liked to way more than hs

sonic sentinel
#

ah ok

#

would you say the university itself matters a lot in whether you are going to enjoy your uni experience or not?

little vine
#

I'd say so

#

The culture can be really different

#

I went to party schools. But I was too old to party in grad school

sonic sentinel
#

example? and how can you really know about university culture as an hs student?

little vine
#

Maybe try visiting, asking students there

sonic sentinel
#

what if it's international? how could you contact students?

#

what about profs? would they be interested to answer? would they answer honestly?

little vine
#

I think you might speak to someone in admissions

sonic sentinel
#

admissions? that seems like the least likely to answer honeslty to me

#

in my mind i see them as more believing in university-ideals instead of university-realities, but maybe my idea is wrong

little vine
#

Hm idk

#

Maybe there's a student liason?

#

What kind of environment do you want?

sonic sentinel
#

maybe

#

i honeslty don't understand how university culture would vary aside from study-more/less or socialize-more/less

neat lintel
oblique oracle
#

Silly question: do theoretical physicists do any experiments at all?

neat lintel
#

I believe "theoretical" means not applied Ie. not working in industry

#

Like those at CERN are theoretical physicists

river moon
#

no people at CERN do a lot of practical stuff like analyzing data using statistics (most of modern physics is basically stats)

#

I know because I had to learn CERN's root package which they use for these kinds of things and watched a few talks about itcatThink

alpine comet
#

there aer also historical differences

#

in France for examples, ENS Ulm and Ecole Polytechnique are often seen on two opposite sides of political spectrum

#

the world is bigger than you would imagine once you get there

alpine comet
#

I tried, and it did work out tbh

#

Now I try to return the favour to anyone who asks

#

An safer bet is look for students who also graduated from your hs

#

then look for friends of friends

pulsar ravine
dreamy compass
#

thanks for the view, over and out

neat lintel
#

hi, does anyone have an experienced opinion if the openstax intermediate algebra book is a sufficient preperation for a community college precalculus course?

chilly hull
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pretty much every elementary algebra book will be sufficient

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heck i think they are more than sufficient

pearl moth
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i just reviewed its table of contents and it looks like it hits all of the expected cpntent for a 10th grade algebra class, which should be prepatory for precalc

little vine
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Don't buy anything

neat lintel
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thank you for that.

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yeah i took 2 semesters of calc back in 2009 and im just finished the elementary algebra today... im going to speed through the intermediate algebra and hope to take precalc in spring2024 im excited.... been out of the loop for a while

little vine
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Smart