serious-discussion

[jagged forge]

with 1300 problems

[latent edge]

geez

[loud snow]

Bruh

I should start now

[jagged forge]

tbh lately i’ve only been doing like 2-3 problems per section lol

too painful

[loud snow]

I mean I thought I could go through it in 3 months

But idk

I only have about 3 hours of free time

[jagged forge]

i’ve been working on it on and off, i’ve probably totaled about 3 months at this point

[loud snow]

Xd

Yeah ill be spontaneous and pick it up today

[jagged forge]

kewl

[ocean harbor]

@stone arch @neat lintel this also for you guys ^

[stone arch]

imagine Aeon saying "NO WAY, is THAT a GEOMETRY DASH REFERENCE ⁉️ ⁉️ "

[neat lintel]

hi

do someone like algebra?

[wary bluff]

yes

i like linear algebra

[neat lintel]

i created a game about math wanna play?

[wary bluff]

yeah sure

[wooden garnet]

hmm, why not

[wary bluff]

i'm just gonna risk a warning now, mods i^m sorry if this is illegal https://www.youtube.com/watch?v=uqwC41RDPyg

[wooden garnet]

At first thought it was Rhapsody of Fire parody. Still pretty not bad

[wary bluff]

you prob already know this one, right?

[wooden garnet]

yup, just deeply forgot

[neat lintel]

the game is basicly like:player one makes a question about a subject in math(like algebra(the choosen subject must remain the same until the game ends)) and after that player 2 answer if answers correctlyhe can make a question to player 2 if not he must change his name to the name that the player 1 one chooses

[wary bluff]

uu ur gonna send a malicous link?

[wooden garnet]

and second one answers? :^

[wary bluff]

or its like online here on disc?

[neat lintel]

the game is basicly like:player one makes a question about a subject in math(like algebra(the choosen subject must remain the same until the game ends)) and after that player 2 answer if answers correctlyhe can make a question to player 2 if not he must change his name to the name that the player 1 one chooses

[wary bluff]

okay, may i start?

[neat lintel]

yes player one:soning ;player 2 rené more players?

[wooden garnet]

uhhhh, well, why not

[neat lintel]

player one @wary bluff ;player 2 @neat lintel player 3 @wooden garnet shall we start?

start @wary bluff

[wary bluff]

okay to Dr zuz :

is the Riemann hypothesis true or false?

we can wait all day

[wooden garnet]

Unproven, so it can be either

[wary bluff]

you didnt give an answer

but correct, you anwered correectly

[wooden garnet]

Lol

[neat lintel]

@wary bluff first you have to give a subject lol

[wooden garnet]

there after-Godel therioes

[wary bluff]

oh

uhm

lets do lin alg

hit me

[wooden garnet]

Omg, im boutta lose, lol

[wary bluff]

its very linear, trust me

[neat lintel]

get prepared to change your name

[wooden garnet]

Ok

[neat lintel]

soooooo whats th question?

[wary bluff]

ah oh its my turn agian

uhm okay

what is the significance of a matrix's determinant?

to rene

wait no to dr zuzh

sry, i still dont quite get the game

[wooden garnet]

Like, meaning?

[neat lintel]

its ok

[wary bluff]

y

[wooden garnet]

How much area, volume etc of shape changes after multiplying space by it

Well, as I remember

[wooden garnet]

by matrix, I mean

[wary bluff]

y

correct

whose turn is it now?

[neat lintel]

my turn

bcs i am player 2

@wary bluff millenial problem

[wooden garnet]

Omg is the question to solve one of those???

[neat lintel]

what can we use navier strokes for?

[wary bluff]

screames

[neat lintel]

nah calm downn

[wary bluff]

is navier strokes acually a millenial problem?

[neat lintel]

i think

The Clay Mathematics Institute officially designated the title Millennium Problem for the seven unsolved mathematical problems, the Birch and Swinnerton-Dyer conjecture, Hodge conjecture, Navier–Stokes existence and smoothness, P versus NP problem, Riemann hypothesis, Yang–Mills existence and mass gap, and the Poincaré

[wary bluff]

i've just read, solving navier stokes gives more money than dis/prooving riemann

[neat lintel]

but what does the equation helps in the actual world

[wary bluff]

completly nothing XD

at leas i think

so, ur question

[neat lintel]

correct

@wooden garnet your turn

[solid snow]

navier stokes is one of the most applied things in math

wut

It models fluids

[wooden garnet]

Oh, yeah. I must to make a question...

[wary bluff]

nono we were talking abour riemann

[wary bluff]

nono we were talking abour riemann

[solid snow]

Cryptography

[wary bluff]

well, yes okay,

[solid snow]

A bunch of other things adjacent to that as well

[neat lintel]

but i said in the actual world as i know we even arent able to 100 porcent use it

[deep mango]

Hi i study the navier stokes equations

[solid snow]

what does that even mean

[wary bluff]

its not a clearly aswereable question since its not clearly defined

[wooden garnet]

Will Hercules ever catch turtle, @neat lintel

[solid snow]

how do you use 100 percent of a theorem

[deep mango]

Solving the navier stokes problem itself wont help us in applications. We already know planes don't fall out of the sky

[neat lintel]

no

[wooden garnet]

Correct

[deep mango]

The problem essentially asks if the navier stokes equations are always "physical" (representing fluids well) or if they can break down

[wooden garnet]

So, soning is next

[neat lintel]

@wary bluff your turn

[wary bluff]

uhhm let me think real quick

[deep mango]

But even if they're not, they definitely are in all the situations we encounter in applications. Otherwise we'd know the answer

[wary bluff]

who invented the modern calculus notation? @neat lintel

well, the one we learn first in school

[neat lintel]

i really dont know bro

[deep mango]

What navier stokes is useful for is, on a physics level, it tells us more about how turbulence works and what turbulence means

[wary bluff]

i'll allow both answers if you tell me who invented it first

[novel mirage]

Go to hell René Descartes for giving us substance monism

Wait I mistaken that was Spinoza

[neat lintel]

newton?´´~º

[wary bluff]

well, correct

[novel mirage]

Leibniz

[wary bluff]

better

[wooden garnet]

Let the fight begin lol

[wary bluff]

the fight shall prevail

[novel mirage]

I know nothing of math but I like phylosophi and I know Leibniz is right about everything

[wary bluff]

oh wow, you actually like leibniz

[wooden garnet]

Lol. Idk, I just like Newton more, he's pretty cool

[wary bluff]

agh i cant post images here?

[wooden garnet]

dude, don't be like you're on polite server, it is math here

[wary bluff]

look in chill

if ur ever in a nasty situation

and wanna annoy ur prof

use this cheat cheat

[wooden garnet]

frfr

[rare junco]

whoever invented it first it was petty as hell. newton was the head of the royal society when they officially ruled that he invented it first lmfao

[wooden garnet]

Prove is that he actually made it up

[wary bluff]

not mathematically provable

btw: do i have to feel bad for my prof if were at quadratic functions and i get the vertecy by derriving? its like 2 years ahead of schedule xd

[novel mirage]

I am currently talking from my leibnizian 18th century style chinese garden

[wary bluff]

i dont even rly know who leibniz was, just the enemy of newton

[novel mirage]

I am 2 years late and idk how to do fractional quadratic equations

[wooden garnet]

well, it is just "look how I can do" for prof ig

No something serious

[wary bluff]

well the neat part is that i spread the knoweledge

it makes class a hell easier

[wooden garnet]

Dude, do you blame yourself for spreading math? Calm down

It is cool

[wooden garnet]

Atleast not me-

[wary bluff]

well, my teacher hates it XD

thats why i moved to integrals now

when you do integration on a triangle XD

[novel mirage]

Teacher is petty tyrant you must KILL HIM (figuratively, metaphorically speaking)

[wary bluff]

slight overkill

[novel mirage]

Poetically speaking ofc

[wary bluff]

he even says 0^0 is not defined

[wooden garnet]

omg, these physical moments when I = q / t

And they never tell you I(t) = q'(t)

[wary bluff]

yeah

[sage mulch]

I thought 0^0 was indeterminate

[wary bluff]

nah

should be 1

[sage mulch]

oh I see

[wooden garnet]

well, it isn't in all of math. Only in some disciples

[sage mulch]

I guess we should just take your word for it then

[wary bluff]

well okay

[sage mulch]

That 0^0 is not indeterminate

fucking kek

[novel mirage]

I wish I was good at maths now

[wooden garnet]

then be why not. It is not that hard

[wary bluff]

trust me, ull get there

[novel mirage]

I guess it is I have been trying for 6 months

[wary bluff]

its always good to learn from multiple sources the same thing

vector geometry for example

[sage mulch]

.. what about vector geometry

[novel mirage]

haven't achieved anything, my problem is that it's almost impossible to learn alone at home and even with someone explaining me unless he's good and repeats things a lot I won't understand

[wary bluff]

motivate urself

gather memes

and rest will come from itself

no, for real memes help you to keep motivated

[novel mirage]

Obviously it doesn't because I had motivation

[wooden garnet]

I literally started to learn math after "Can you hear the music"

[wary bluff]

i started learning calc with 17

is that late or ealry?

[wooden garnet]

For our country's program is just in time

[raven plaza]

I could colour boxes under a curve when I was 3 months old

[wooden garnet]

Like, we do trigonometry only in 10th grade

[neat lintel]

@wooden garnet @wary bluff i am really sorry i had to help my mom with smth

[wary bluff]

np

was trying to make a delta epsilon proof

[wooden garnet]

np

I am just trying to make my brain understand parameter problems

[neat lintel]

lets restart the game but now it will be better @wooden garnet @wary bluff

[wooden garnet]

ok

[wary bluff]

were making it to easy, we gotta do harder ones

[neat lintel]

calm down,so to see whos the first i am gonna give you two a question the first to answer correctly will be player one and the second will be the player 2

@wooden garnet

[wooden garnet]

ok

[wary bluff]

k

[neat lintel]

@wary bluff @wooden garnet problem easy:x^2=x and you two must tell me in dm why you got the answer and explain me how

player 1 @wooden garnet

[wary bluff]

wwwhat

he was faster?

[wooden garnet]

it could have been faster, but dude required explanation

[neat lintel]

yes he was reaally quick and also gave the :Dr. Zuz — Hoje às 20:22
Ok
x^2 = x
x^2 - x = 0
x(x - 1) = 0
x = 0 or x = 1
rené descartes — Hoje às 20:22
thats quik

player 2 @wary bluff

player 3 @neat lintel

start @wooden garnet

[wooden garnet]

Ok. @wary bluff Graphical meaning of second derivative

[wary bluff]

curvature of the curvature

wait

no

[wooden garnet]

uh... well, dude, you are overcooking

[wary bluff]

just curvature

change of change is curvature, right?

[wooden garnet]

well, technically yes, but you have a better explanation

[neat lintel]

no questions in the middle of the question that the player gave

[wary bluff]

techinically you could see the concavity

[wooden garnet]

Yup

[wary bluff]

its important when you want to locate the turning point(s)

[neat lintel]

(bro i am so much cooked like you guys think a 10 grade gonna be capable to answer that?)

[wary bluff]

u choose to come to this server

[neat lintel]

@wary bluff your turn

[wary bluff]

lets do vector calc

meaning of the gradient @wooden garnet

[wooden garnet]

Well, just self education

[wary bluff]

and if werre there, how is ist written

[wooden garnet]

Actually don't know, but maybe set of vector each one pointing to min value of function near... uh... damn, I lost the idea

[wary bluff]

yeaaaaah

[wooden garnet]

wait, is it right??

[wary bluff]

nono

not completly ritht

[wooden garnet]

oh, ok

[wary bluff]

some things are false

let me explain

The gradient of a function is a vector that points in the direction of the greatest rate of increase of the function at a given point.

[wooden garnet]

ofc. you've said it is about calculus

[wary bluff]

well

[wooden garnet]

Dr. Deez

lol

[wary bluff]

the lines are blurring

i've said vector calc right?

so u got to change ur name now?

[wooden garnet]

yup

[neat lintel]

yes @wooden garnet

[wary bluff]

lets do "New Town"

gotta go

sry

[wooden garnet]

ok, bye

[wary bluff]

i wanna see the name change

[wooden garnet]

gtg, too, it seems

[neat lintel]

so now its my turn

[wooden garnet]

Huh, I can't change nickname only on this server

[neat lintel]

ok

[wooden garnet]

if you play with yourself

[neat lintel]

why?

[wooden garnet]

bcs I gtg sleep

Or try solving parameters...

[neat lintel]

okay

[wooden garnet]

Good night everyone

[ocean harbor]

cool

you're a genius 💯

[wary bluff]

wait no, i swear that was written by me

[ocean harbor]

lying be like

[neat lintel]

bro you are not capable of seing if it was made by a i.a with just a short text

thats like trying to find the truth with just 10 porcent of knowledge

[neat lintel]

@wary bluff did you used a.i?

[wary bluff]

no

[ocean harbor]

would you believe someone will write a big sentence within one second?

and with COMMA

[wary bluff]

i mean i've learned it by heart so its probably some definition somewhere out there thats spelled correctly

i sometimes prewrite so i can correct for errors

like my normal typing is BS

as you might have seen

[ocean harbor]

okay im actually curious what you meant by this text "The gradient of a function is a vector that points in the direction of the greatest rate of increase of the function at a given point."

doesn't makes sense at all

[ocean harbor]

and how long does this take you?

unbelievable if it is in 1 second!!!

https://cdn.discordapp.com/emojis/1112022027847606383.gif?size=48&quality=lossless&name=catcombing

[neat lintel]

bro pls dont overcoock my friend here

[neat lintel]

idk if this is true but @wary bluff you must defend yourself bro

[ocean harbor]

wdym "overcooced"?

I don't get it

[ocean harbor]

ill be happy if you explain this to me 🙂

[wary bluff]

i'm to bad at english to fully explain i think

[ocean harbor]

lmfao

[neat lintel]

Someone cooked here" is a line from the TV show Breaking Bad, when the main character enters a place and realizes it has been used for making drugs. But as a meme, people use "someone cooked here" to mean "someone did a good job" in general

[wary bluff]

for real , i'm native german and decent in english but going indepht of a topic i'm currently learning is quite hard

[neat lintel]

bro are you kidding me?!

[neat lintel]

put in translate

[wary bluff]

that ken then detects as ai written?

[ocean harbor]

I said overcooced not cooked

[ocean harbor]

not a English main either but I'm learning English so doesn't matter

just do your best

or use ai

[neat lintel]

basically when you cause someone to be humiliated in a very big way

[ocean harbor]

cool cool

[neat lintel]

@wary bluff just admit it bro you are already cooked dont overcoock yourself

[wary bluff]

The Gradient of a Function is a vector that represents the rate of change of the function with respect to its variables (OBVJOUSLY) for a function of several variables the gradient is a vector containing all the partial derrivatives of the funcino with repect to each variable

happy?

[ocean harbor]

[wary bluff]

man ur obvjously faking it

how on earth could this be ai generated?

with all the mistakes and typos xd

[neat lintel]

bro chatgpt:The text you've provided could potentially be written by AI or a human, but without explicit indicators such as metadata or context that confirm its origin, it's challenging to definitively say. However, the passage does have characteristics that might lean towards it being AI-generated or at least hastily written:

1. Typos and Misspellings: Words like "OBVJOUSLY" (obviously), "derrivatives" (derivatives), and "funcino" (function) are misspelled. AI can make typographical errors, especially in contexts where it's trained to mimic certain informalities or errors present in the training data. However, this can also be a sign of human error, especially in quickly or informally written text.

2. Tone: The use of "OBVJOUSLY" in all caps suggests an informal tone or a attempt to emphasize the obviousness of the statement, which could be more indicative of a human's writing style attempting to convey sarcasm or exasperation. While AI can be programmed to mimic various tones, including sarcasm, this specific application seems more human-like.
   .

3. Content Accuracy: The explanation itself, despite the typos, is accurate in describing the gradient of a function as a vector of its partial derivatives with respect to each variable. This kind of content could easily be produced by both AI, based on its knowledge, and humans familiar with the subject.

4. Lack of Context: Without more context, it's hard to ascertain the intent behind the writing's tone and structure. AI-generated content often lacks a personal touch or contextual awareness unless specifically designed to include it.

Given these points, while the text could feasibly be produced by an AI, especially one trained on a dataset that includes informal discussions or educational material with occasional errors, the casual tone and typographical errors might also suggest a human author. Identifying AI-generated text usually requires looking for patterns of coherence, adherence to stylistic conventions over long stretches of text, or an analysis of how information is structured and presented, which is not entirely possible with a short excerpt

@ocean harbor

@wary bluff

goodnight

[wary bluff]

gn

[ocean harbor]

you just changed some words and pretending it is like yours

this website knows that lol

[ocean harbor]

https://tenor.com/view/not-reading-allat-gif-11216013967469576578

[neat lintel]

kkkkkkkk

[wary bluff]

Man what’s ur problem?

[ocean harbor]

nothing literally

!nogpt

[quasi jetty]

Please do not trust ChatGPT or similar AI tools for mathematical tasks, as they often generate output which "sounds correct" but has numerous factual or logical errors. Use of these AI tools to answer other people's help questions is strictly against server rules (see #rules).

[ocean harbor]

[wary bluff]

Okay then enlighten me with ur explanation @ocean harbor

[ocean harbor]

,, (\nabla f(x)) \cdot \mathbf{v}=D_{\mathbf{v}} f(x)

[fathom swallow]

K²en [𝔸𝔨𝔦𝔯𝔞]

[ocean harbor]

look up on google for notations

it is literally on wikipedia

but all I did was checking on you cuz you used ai

[sage mulch]

this is amazing to watch

i hate it when ppl try to sound smart

by just throwing out terms or using ai generated shit

[ocean harbor]

yeah lol

[sage mulch]

thisis very based keep up the good fight

[wary bluff]

How you write like this? How is latex implemented as about here? Btw the question was asking for a text based explanation…

[neat lintel]

@wary bluff you still getting cooked bro?wallahi save my bro

@ocean harbor sooo

[ocean harbor]

?

[neat lintel]

@ocean harbor can you help me find a book about analitical geometry?

[ocean harbor]

I don't know any book of this

but ask in #book-recommendations

[neat lintel]

wanna play a game that i created

[ocean harbor]

no, im busy with stuff

[neat lintel]

hi busy i am chelly

[ocean harbor]

not funny, didn't laugh

https://cdn.discordapp.com/emojis/1112022027847606383.gif?size=48&quality=lossless&name=catcombing

[neat lintel]

https://tenor.com/view/not-funny-gif-19313619

[neat lintel]

i am stuff

[verbal leaf]

who can teach me sqaure root and cube root functions

[ocean harbor]

!help

[quasi jetty]

To ask for mathematics help on this server, please open your own help channel or help thread. See #❓how-to-get-help for instructions.

[ocean harbor]

I mean stuff like tests/assignments

[sudden pond]

what about them

[ocean harbor]

although I did stay up at 1am yesterday so just reviewing stuff rn

job

[verbal leaf]

just need help doing it

[sudden pond]

do you have a specific problem?

[verbal leaf]

yeah

[sudden pond]

ask it in a help channel like #precalculus

and I can help

[verbal leaf]

i lowkey want to know how to do it step by step i just don't understand it

and need someone who can explain it to help

[sudden pond]

yes, send it

to #precalculus

[verbal leaf]

ok

[ocean harbor]

what kind of job though?

https://cdn.discordapp.com/emojis/1048660781123780749.gif?v=1&size=48&quality=lossless

never mind then

[neat lintel]

I smell something

Almost as if someone got cooked

[ocean harbor]

lmfao

also why the messages are deleted now

[neat lintel]

bcs someone was cooked and it was @wary bluff

[ocean harbor]

https://www.youtube.com/watch?v=nBcRQUAGCKU

[clear fox]

What is a way to get higher math credits without taking the class, or is this a bad question?

[solid snow]

test out of them if your uni allows it

[formal crescent]

50% of 66

[neat lintel]

There's also CLEP exams you could take if you college accepts then

You could also just take AP exams without having to go through the course

even if you're an adult you can take AP exams by registering for it online

CLEP is easier, so you should prefer that tho

ust btw

[neat lintel]

goddamn that's cool

[neat lintel]

hi

yes

[wooden garnet]

Omg, I feel dumb

[neat lintel]

why?

[wooden garnet]

Bcs of these problems with parameter (or variable, idk exact translation)

[neat lintel]

then i have demencia

[wooden garnet]

Like, you have to use ALL of your math knowledge from ALL 11 years of school

[neat lintel]

idk wtf you talking about

[wooden garnet]

Internet says it's "Parametric problems"

Or something like that

[neat lintel]

you should see the anime problem

[wooden garnet]

There's no problem in anime (in general)

[neat lintel]

the problem is

[wooden garnet]

Is what

[neat lintel]

if you wanted to watch 14 episodes of ‘Haruhi’ in every possible order, what’s the shortest string of episodes you’d need to watch?

There are 14 episodes in the first season of Haruhi, a 2006 anime based on a series of Japanese light novels. The episodes, which feature time travel and are otherwise chronologically challenging for the viewer, originally aired in a nonlinear order. When the series went to DVD, the episodes were rearranged, and it’s become something of an obsession for fans to rewatch the series over and over again, going through as many chronologies as possible.

An anonymous poster figured out one possible way to solve to the 4chan problem, satisfying the more mathematically inclined Haruhi fans. But in the process, they also helped puzzle out an issue that mathematicians have been working on since 1993. The anonymously authored proof (which was recently reposted on a Fandom wiki) is currently the most elegant solution to part of a mathematical problem involving something called superpermutations. It’s an enigma that goes well beyond anime.

In mathematics, a permutation is the order of a set of numbers. In anime terms, one permutation of Haruhi would be watching all 14 episodes in the order that they aired. But what if you’re a Haruhi superfan and watching the season once isn’t enough for you? In that case, you might be interested in a superpermutation, or all of the possible permutations of a set strung together. Think of it as the ultimate Haruhi marathon.

[wooden garnet]

Ok

[neat lintel]

you should study it

[wooden garnet]

Nah, gtg wait for new romcom to be out. Seems interesting

[neat lintel]

oki

[neat lintel]

I do not remember Descartes looking like that.

[neat lintel]

because after death we can choose what profile we want

[neat lintel]

and i simp for monika

All mathematicians were secretly waifus

[neat lintel]

indeed

[wooden garnet]

How dare you simp for anything but math???

[neat lintel]

sir you dont understand i descartes have only got to math because monika likes it

[wooden garnet]

Valid 👍

[neat lintel]

do you know the trolley problem

[wooden garnet]

Like, the racing one? Just go by both rails at the same time

Or double it and give to the next person

[neat lintel]

lol

@wooden garnet

Name: Cogito's Realm

Description: When activating his Domain Expansion, René Descartes creates a surreal space reminiscent of an abstract Cartesian coordinate system, where the rules of reality are shaped by his philosophical principles. Within this realm, the boundaries between thought and existence blur, and the power of doubt becomes tangible.

@wary bluff

[keen sinew]

Good morning

[neat lintel]

hi

[keen sinew]

What’s everyone up to

[neat lintel]

roleplay

[keen sinew]

Im okay thanks lol

[neat lintel]

oh ok so letas talk about math?

or programming?

[keen sinew]

Idk much about programming

[keen sinew]

What math classes have you taken

[neat lintel]

10 grade lol

[green orbit]

Does anyone know how to do sqaure root and cube root functions & inverses. Specifically alg 2 I’m 15 and my dad won’t let me get ungrounded unless I finish this worksheet he printed with atleast 80% if someone could help me check my answers as well has help me do the rest it would be much appreciated

[wooden garnet]

I don't need backstory. I need math.

[green orbit]

Well I can’t send math in here

I’ll dm u

[keen sinew]

I got you. Just go to one of the help channels

[wooden garnet]

Ok

[keen sinew]

Or that too

[wooden garnet]

Fr

[neat lintel]

fr

[keen sinew]

frrrr

#❓how-to-get-help

@green orbit #❓how-to-get-help

[ebon harbor]

@scarlet wedge they could but you still wouldn't have deep knowledge of your codebase in that case

[scarlet wedge]

the people who will moniter the ai can manipulate the ai to write the code in cirtain manner

[ebon harbor]

In the situation where there is a breaking bug in production, no one would really know the code well enough to fix it quickly imo if you use devin that much

it's a lot easier to generate new code than to fix bugs for an AI

[scarlet wedge]

devin may will be able to find out the bug on its own and may fix it and devin is an ai bot may hardly make a certain mistake

[ebon harbor]

maybe but putting your absolute trust in an AI like that is hard to justify

[dapper badge]

Ok I thought about this again and I think I can explain it better now. So I'll start by redefining Teichmuller space. Let S be a closed oriented surface of genus g. A marked Riemann surface of genus g is a pair (X, [f]) where X is a Riemann surface and f: X -> S is a diffeomorphism, where [f] denotes the isotopy class of f. Two marked Riemann surfaces (X, [f]) and (Y, [g]) are isomorphic if there exists a biholomorphism h: X -> Y such that [g o h] = [f]. The Teichmuller space of surfaces of genus g, denoted T_g, is the space of isomorphism classes of marked Riemann surfaces of genus g. It has a natural metric that I won't get into right now, and with the topology induced by this metric, it's homeomorphic to a ball of genus 6g - 6.

The moduli space of genus g curves, denoted M_g, should be similar to T_g, except we no longer want to distinguish points (X, [f]) and (X, [g]) since the Riemann surfaces are biholomorphic, and the only difference is that the maps to S are not isotopic. Thus, we're led to consider the action of the mapping class group Mod(S) on T_g, where [g] takes a point (X, [f]) to (X, [g o f]) (the action is well-defined since elements of the mapping class group are isotopy classes).

Now in the quotient space T_g / Mod(S), we obtain precisely the identification we wanted. The resulting quotient space is M_g.

Just to recap our example with g = 1, recall that every compact Riemann surface of genus 1 arises as a quotient of C by some lattice L. Any lattice is biholomorphic to one of the form <1, tau>, so this suggests T_1 may be the upper half plane. Indeed, any further identifications of complex structures arises by noting that two lattices <1, tau_1> and <1, tau_2> are the same lattice if tau_2 is in the PSL(2, Z)-orbit of <tau_1> (where PSL(2, Z) acts on the upper half plane by fractional linear transformations). However, if the element relating the lattices is not the identity, then the corresponding biholomorphism is not isotopic to the identity, which can be seen by studying the action of the biholomorphism on H_1 of the torus.

[scarlet wedge]

i mean its still new and cant be trusted but in upcoming year things may will be different who knows

[dapper badge]

Thus, these are all of our identifications, and T_1 is the upper half plane. The moduli space is the quotient by PSL(2, Z), which is the fundamental domain that you're familiar with.

[worn garnet]

Job hunt has been brutal

[bronze pelican]

!remindme 1 day read this later

Idk how remind me works

[vernal token]

try .remindme 1d read this later

[mental stratus]

.remindme 1d read this later

[vernal token]

What about .remindme 24h read this later

For some reason it seems to work for Loch

[mental stratus]

it works for mods and honorables and uhh those with gamma or something

[neat lintel]

hi my name is carla i have dual personality so i created another account named carla_ dont mind me

[raven plaza]

.remindme 24h

.remindme 10m test

.help remindme

[quasi jetty]

Usage: .remindme <interval> [text]
aka: remind
Set a reminder with a given message.
You are not allowed to use this command.

[neat lintel]

my course has an assignment question, where i'm asked to use "technology" (i.e, desmos) to solve a logarithmic equation.
super easy, that's fine, but the question also asks me to round to 4 decimal places. desmos seems to only output to 3 decimals.
is it possible to get desmos to show me more decimal places? or is there another graphing tool that might be better?

[kind iron]

I think if you zoom in it gives you more decimals?

alternatively, if it's a point on a function at x = a, you can put f(a) in another line and I think that'll also give you more decimals

[neat lintel]

oh, you're 100% correct

wow i didn't try that. thanks!

[neat lintel]

oh, another good idea, i'll keep this in mind for the future. tyty!

[bronze pelican]

.remindme 1d read this later

[quasi jetty]

Created reminder read this later (#serious-discussion message) for <t:1711731289:F>

[bronze pelican]

Thank you

[bright hill]

@deep mango do you know why castlvania isn't an anime?

the swearing.

fucking impeccable

[deep mango]

Anime has swearing

[vernal token]

Are you typing on the screen?

I have a keyboard

So I'm not sure if it would work for that

[cinder zephyr]

I'm using a phone yes

[vernal token]

I'm using an Android tablet

[cinder zephyr]

I mean Google keyboard should be the same everywhere

It's a Google keyboard thing

I should figure out how to do this on Linux tbh it'd be nice for my laptop

[vernal token]

I don't have a "suggested" tab

[vernal token]

How would you do that, you don't have a suggested tab either, there

You need this

Or can you somehow make it automatically pick that

[cinder zephyr]

Oh what you don't?

Yea idk

[vernal token]

You have this on a laptop?

[cinder zephyr]

How do you not have a suggested tab

I have this on my phone and you said you're using a tablet

Oh NVM I see

[vernal token]

Yeah, but you said it'd be nice for your laptop too

[cinder zephyr]

Yea idk how I'd get it to work with laptop

[bright hill]

ah yes

ofc it does

japanese swearing: you!!! (slightly less polite version of you)

and also: you!!! (extremely polite version of you)

and how could I forget

you!!! (literally translates to "guy")

[leaden torrent]

anime has straight up slurs mate

like youll hear 部落民 or 片端

particular edgy anime might even use えた as an insult, though typically not children's stuff

[leaden torrent]

to be clear, these arent as severe as like, the n-word; they're more like the r-word

sensitive but not universally condemned

[leaden torrent]

this is straight up like the n-word though lmfao, people dont write its kanji because its considered so bad

most direct translation of the kanji would be "filthy/defiled group" but it refers to an ethnic group

[bright hill]

inchresting

[forest brook]

the way it says "you damned brat" in anime is quite intimidating

[bright hill]

sitll pretty funny how the most common swear words in anime could all be translated to "you"

[neat lintel]

Hi, I have a complicated situation related to how much I need to learn math (precalculus) and I'm stressed about it. I don't know if someone who knows more about mathematics and also physics could help me via DM to explain my case and receive some advice.

[dense wraith]

<@&268886789983436800>

and you've already failed btw

[leaden torrent]

worst ban speedrun ive ever seen

especially for a server that has autoban words lmfao

[neat lintel]

Are college classes a waste of time for most motivated students or am i hallucinating?

math majors more specifically

[quick beacon]

They are not

[neat lintel]

You can simply study stuff by yourself and ask questions to the teacher

why aren't them?

[quick beacon]

Even if you do not find any use out of the classes for the course work itself, which I find to be suspect, but whatever, let's say you don't need the lecture, and that having a second way of presenting the material is not useful for you.

The class is still useful for networking at the very least.

[neat lintel]

I'm more prone to defending the inverted classroom

A second way of presenting the material? Tell me more about it

[quick beacon]

The lecture is a second presentation of the material different from the book

[neat lintel]

I suspect i just have adhd, so sitting down and studying stuff by myself is fairly easier

[neat lintel]

I mean, it is if you have good teachers

[quick beacon]

Should I have assumed you have shit teachers?

[neat lintel]

Mine are mostly just bad at their jobs i guess, or maybe i'm a bad student

[quick beacon]

Irrespective

If you're studying math, you'll probably want to go to grad school, so developing a positive relationship with your lecturers is a good way to get a strong recommendation letter.

[neat lintel]

why not? Most people teaching undergraduate mathematics are shitty at their jobs, or am i assuming something which is blatantly false?

[neat lintel]

Yeah, and that is bullshit

[quick beacon]

Sounds like you just object to how academia works, which fair.

[neat lintel]

I mean, i understand it's how the system is setup and all, and i try to have a good relashionship with my teachers, i just don't understand why we can't just teach students using the inverted classroom model

[quick beacon]

But it's a game you have to play if you wish to succeed

[neat lintel]

Yeah, i understand it's how the game is played. It's still bullshit and disgusting system

Which i would rather not take part it

in*

[quick beacon]

Cool, then enjoy not getting into grad school?

Without power you can change nothing.

[neat lintel]

Oh well, i will do what i need to. I'm not a child, i understand some sacrifices must be made in order for me to accomplish things. I guess i just wanted to express my frustrations with people

[quick beacon]

To be clear, I'm neither necessarily endorsing nor defending the status quo. Just pointing out whether or not you like it, you do need to work within the system.

[fleet verge]

gguys

i just failed

[neat lintel]

Yeah, but i would like for you to express your views of how things are run

Maybe show me where i'm going wrong with my evaluation of it

[fleet verge]

hey

can you see me

[neat lintel]

Good. Next time you'll do better

[quick beacon]

Yeah, but I tend to not respond to trolls

[fleet verge]

ok sir

i will stop the unkindly behaivior

[quick beacon]

I don't feel like I have any answers. At least not ones that are based on a true, deep social understanding of academia.

[neat lintel]

Oh well, are you immersed in it? If you want to share your views, even if they may be shallow and not add much to my mental model of things, i'd like to hear it.

[quick beacon]

It's easy to say that we should radically restructure departments and so on, but as far as I am aware, there is a paucity of true, long term studies on the topics

[neat lintel]

Fair enough. If you don't mind me asking, what do you do? mathematics?

[quick beacon]

I am a nuclear engineer.

[neat lintel]

Pretty cool

[quick beacon]

Honestly pretty boring

[neat lintel]

Why boring?

[quick beacon]

And that's a good thing

If I was doing new, untested shit it would be pretty exciting. But also dangerous

[neat lintel]

I guess that's not a problem with mathematics. I always go out looking for the most exciting math i can find

LOL

Sucks to be an engineer

[neat lintel]

Unfortunately it usually eludes me.

Did you do a masters or phd?

[quick beacon]

I did not sufficiently glad hand my professors, so I was unable to.

At least I assume that was the problem

[neat lintel]

So your advice was based on personal experience?

[quick beacon]

Yes

[neat lintel]

Maybe i should take it seriously then. I thank you for it

[quick beacon]

Always glad to be a cautionary tale

[neat lintel]

Be part of the problem until i have some small amount of power to be able to change a little of the disgraceful systems that run our institutions of higher learning

My disdain for it is probably never dying though

[neat lintel]

Are you able to do any fun math while being an engineer?

Can you conduct any small scale research on your own?

[quick beacon]

I'm slowly learning undergrad math independently on my time off

Just for fun

[neat lintel]

Cool. Where are you at now?

[quick beacon]

Kentucky.

[neat lintel]

I mean in the undergrad curriculum

[quick beacon]

Oh, partway through Real Analysis.

[neat lintel]

How are you liking it? Which book are you using?

[quick beacon]

Because I have a background in Computer Science I've also dabbled in category theory (but like, only Haskell facing) and type theory

[neat lintel]

Pretty cool. I'm actually interested in theory of computation and homotopy type theory from a more platonic standpoint. Maybe theory of computation i can learn for now, but homotopy type theory and type theory are far beyond what i have the prerequisites for

Where did your cs background came from? I'm assuming you majored in nuclear engineering here

[quick beacon]

Sorry had to step away suddenly @neat lintel

I am nontrad I released a game before I went to school

I double majored in Comp E and Nuke E, but I'm currently employed as Nuke E

My analysis text is primarily Abbott but I also have Cummings and Tao as backups

[neat lintel]

where are you at in abbot this is something i want to do as well, maybe i can set a goal to catch up XD

[icy locust]

How do I feel less mentally exhausting solving proof exercises?

Or physically, for that matter

[jagged forge]

i have not found the answer to this question

[proven knoll]

take breaks, or read the solutions to save time (if it exist)

[icy locust]

thanks!

[alpine comet]

Take a walk, touch some grass, then come back

[vernal token]

How do you come to this conclusion? In Germany atleast, everyone who teaches UG is a professor or atleast a postdoc

They should be very qualified to teach UG

[vernal token]

I like inverted classroom too, but I imagine it can be way worse than a normal classroom model for people just starting UG. I'm studying in parallel to HS and we use this model too, every week, our professor gives us 10-15 pages to read in the lecture notes and an exercise sheet. I want to go through that material very thoroughly, understanding everything in it, so it takes quite a while (also if I want to make sure why the author did something, I ask on this discord, google, ...). The exercise sheet doesn't even take that long compared to the reading. During our weekly problem discussions, though, pretty much 85% of the class doesn't say anything; we're about 22 and it's always the same 3 people along with me presenting our solutions (there are no oral grades anyways..) I guess much of this comes from the classroom model, I don't think everyone does the reading and then also the exercises in time. I would like it if there were lectures, then I could do the reading first and get a second perspective afterwards (no matter who the lecturer is, they won't just read the lecture notes to you word-for-word, right?)

[dire glen]

hey, in diferential equations, I was wondering what justifies the exponential response formula, i mean where does it comes from?

and i would say that it is a result of solving the diff equations using the undetermined coeff method

how off am I ?

[ripe needle]

I think this is common in the United States, but often you will have PhD students teaching early math classes such as Pre-Calc and Calculus. Professors will teach the more advanced math classes.

[ripe needle]

There's also very little training. Just "Here teach this class, good luck"

[forest brook]

yea I've seen phd students teaching pre calc and some calc in hs

[dire glen]

o sorry i've interrupted another conv

[forest brook]

Np it's fine

[ripe needle]

Also when you have a Calculus class with ~500 students. The PhD student is overwhelmed. So you have undergrad teaching-assistants who will help answer questions and grade homework.

[ripe needle]

Perfect question for #math-discussion

[dire glen]

ok ill move there

[glass peak]

Surely that’s fine, calculus level maths is like a prereq to even get to uni in anything STEM in the UK, I’m sure any given PhD student can teach that no problem, because it’s not exactly hard

Like I get there’s more to teaching than just understanding

But I don’t see how they’d be any worse than a postdoc/prof etc

[ripe needle]

My Calc 2 instructor didn't speak English, My Calc 3 instructor was absent 99% of the time.

They were basically self-taught classes lmao

This is the only system I know first-hand, but I believe it's a huge issue because there's many students who could do well in Calc, who could go onto a STEM degree, but have a horrible experience and either drop-out completely or switch to history degree or something.

It's a huge obstacle in the American university system.

[ripe needle]

I agree with this though.

A great researcher != a great instructor

[glass peak]

I mean that doesn’t seem related to them being PhD students or anything, I have also experienced the former issue, but like I don’t see how any of these things would make them any worse than a bad lecturer

[ripe needle]

Yeah I agree with that lol

[vernal token]

This is the only system I know first-hand, but I believe it's a huge issue because there's many students who could do well in Calc, who could go onto a STEM degree, but have a horrible experience and either drop-out completely or switch to history degree or something.

Though to any motivated student who likes maths, that shouldn't happen; they will just "self-teach" themselves, as you said

[forest brook]

but it does have a negative impact on their studies right?

[vernal token]

Depends on how thorough you are, I guess. We use an inverted classroom model too and take the same exams as the people who are taught in a regular classroom model and I would say the ones of us who go through the lectures notes thoroughly are better off than the ones in the other classroom model just hearing the lectures and not reading everything from the lecture notes; having to work through everything themselves

It's just that it probably is good to have a second perspective on the material from the instructor

But I don't think you can't replace that; you can talk to other math people about the material, read about it on the internet, use other sources, ...

[forest brook]

well, we are also the batch who are studying from home, and it's great and the main advantage is we can save time for the commute

but apart from that, it's really cool to be able to interact with profs and get guidance from them

[forest brook]

I agree with it too

[glass peak]

I still think the instructors perspective is more helpful as they’ll be familiar with what’s actually in your notes and how it’s presented, what you’ve covered and how etc.

I agree there’s ways to supplement it, but the lecturers perspective tends to be best (assuming they’re reasonably ok at lecturing)

[clear fox]

Do you guys have any non math hobbies to do?
I’m bored

[deep mango]

I really like crazy sudoku variants from Cracking the Cryptic

https://www.youtube.com/@CrackingTheCryptic

such a good youtube channel

they have links to try the puzzles in the descriptions

[quiet wedge]

@reef carbon sorry for pinging without permission. i wanted to ask you what genre you listen

[reef carbon]

i do not have a particular preference on genre.

[quiet wedge]

do you know the song stairway to heaven?

[quick beacon]

I'm doing the exercises from 2.5

[neat lintel]

Do you know the song mutation of the cadaver by cannibal corpse

[neat lintel]

if some one wanna chose number from 1 to infinty
what is the probability of chosing number from this sequence 1,2,4,8,16...

[vivid halo]

0

the question isn't really well-formed

[neat lintel]

-1/12

[neat lintel]

why

[vivid halo]

are you picking such numbers uniformly at random? what does that mean for an infinite collection of numbers like this

you might choose these randomly according to some different distribution, maybe biased towards smaller numbers and then the answer might look different

the naive interpretation would be like, compute the probability of choosing a number from this sequence if your number is between 1 and N

which is just like, (number of terms in the sequence in the interval [1,N])/N

and then let N->\infty

you'll get 0

[neat lintel]

which is -1/12

i know its approacting to zero and that wasn't what iam asking for

[latent edge]

Then reformulate your question?

[neat lintel]

the questions was
the series
1 , 2 , 4 , 8 ...
for n double
for example the probability of chosing after the fifth double
1,2,4,8,16
is 5/16
the total number is last number in the series
i was need the experssion for calculate the probability for n double
and (if i solve it for lim approch to infinty it should give me 0)

[placid quartz]

so you want n/2^(n-1)?

[neat lintel]

but in zero double it should give as 1

[placid quartz]

why?

make a piecewise definition if you really want taht

[neat lintel]

1
zero double
1/1=1
\\\\\\
one double
1,2
2/2=1
\\\\\\\\
two double
1,2,4
3/4

[placid quartz]

so (n+1)/2^n?

[neat lintel]

let me try

thats work

thank

[placid quartz]

[quasi jetty]

@bronze pelican asked to be reminded <t:1711644889:R>: read this later

[tame egret]

mad calc
https://youtu.be/cvh0nX08nRw?si=HUD6lP0Ho_lGerLv

[bronze pelican]

Thank you uwu cutie bot

[sonic sentinel]

could you design a game in python (or some other simple coding language) where two pcs on different networks can communicate with each other directly? like a friend-to-friend game

[tame egret]

yes

[sonic sentinel]

suppose we don't care about like keeping the game information secret or players manipulating the game or anything like that

[tame egret]

should i send vid

[sonic sentinel]

sure

[tame egret]

https://youtu.be/McoDjOCb2Zo

[tame egret]

here it is

[sonic sentinel]

thnks

[tame egret]

np

[sonic sentinel]

ishigamisenku_

i recognize that username

you're in high school right

[tame egret]

yeah

[sonic sentinel]

okay yeah i remember you

[tame egret]

ooh increasing popularity 🙃

[summer sail]

https://bloon.ai

[latent zodiac]

first

[bright hill]

@latent zodiac so what're you using for pointset?

[fallen dune]

does any1 know any good graphing tool for statistics??

[latent zodiac]

https://link.springer.com/book/10.1007/978-3-319-02368-7

dms would be less cluttered

[bright hill]

as you like but I'm assuming some other member might also be interested!

[latent zodiac]

hmm fair

anyway yeah im gonna do linear algebra over the summer so i can learn abstract algebra

real and complex analysis cuz its interesting

and topo cuz i wanna, but idk what book to use for real and complex analysis or topo

[bright hill]

sure

ok

so first of all, I want you to hold on pointset for a moment

till you're done with rudin

[latent zodiac]

first 6 chapters or the whole book

[bright hill]

no!

[fresh comet]

wow, this book is really small

[bright hill]

no one ever finishes baby rudin

[latent zodiac]

yeah thats what i thought

[latent zodiac]

I THINK ITS PRETTY DECENTLY SIZED

[bright hill]

first 7 chapters would do

altho you can look at chapter 8 and see if anything there interests you

[fresh comet]

it's Little Spivak sized

[bright hill]

spivak is extremely terse tho

[fresh comet]

yeah

[bright hill]

anywho

so now pointset

the thing with pointset is

it's incredibly fucking boring and dry

[latent zodiac]

lmao

explains the book size

[fresh comet]

you should read ITM with me

[bright hill]

so I would only advice you to do the bare minimum till you need more

that's how I learnt pointset

[latent zodiac]

there are a lot of topop books that glance over point-set as needed, right?

[fresh comet]

can I just read first 4 chapters of ITM and then move on for a while

[bright hill]

yea absolutely

the first 4 chapters of ITM are honestly enough for an entire carreer sometimes

[bright hill]

I think you should do a decent amount of pointset in isolation first

[latent zodiac]

ok so should I use papa rudin for real and complex analysis? cuz ive heard there are better books for that

[bright hill]

just the bare minimum, as I said

[latent zodiac]

cuz i dont wanna just learn topo cuz analysis is fun

[bright hill]

uh, how's your experience with rudin so far?

[latent zodiac]

fun

it takes me a while to answer the exercises but its fun

[bright hill]

coz if you thought baby rudin is terse then papa rudin is worse

[latent zodiac]

yeah i think its terse, but after drawing a graph or glancing at another book it makes fair sense to me

but ok what should i supplement with then, cuz i cant do papa rudin alone

[bright hill]

I would generally recc a different book, just coz I don't like such terse books personally

[latent zodiac]

i value my mental sanity, to some degree

[bright hill]

but you can try it if you want

[latent zodiac]

i dont wanna risk learning less just to read a terse book

whats some other good books

even maybe just for supplimentary mateiral

[bright hill]

ok, so this sentence is just wrong on so many levels

[latent zodiac]

makes sense to me smh

[bright hill]

terse doesn't mean less material, it means the same material in less words

[latent zodiac]

yeah i

ik

but if i dont understand something i might skip it

or not fully undetand it

[bright hill]

and also, you don't really want to learn everything about the subject in the first place, as a student you only need to learn what's standard

[latent zodiac]

wheres the fun in that

[bright hill]

there's plenty of fun in that!

you can learn more if you want, I just mean you don't need to specialize in complex analysis before moving on

[latent zodiac]

ok ok

[solid yarrow]

Out of curiousity. When self-studying. Taking notes y/n?

[latent zodiac]

10000000000000000000% yes

i waste so much paper, but fuck the trees i need to learn this shit

[bright hill]

anywho, for measure theory I like folland and stein and shakarchi

and I heard really really good things about royden

[latent zodiac]

what abt
https://www.worldscientific.com/worldscibooks/10.1142/9037

and what books do i supplement rudin's real and complex anaysis book with?

cuz i wanna touch grass sometimes, u feel

[bright hill]

yes and no, I don't try to summarize the content or w/e coz like

why would I do that

I can just reference the book again

[solid yarrow]

so what do you take notes of?

[bright hill]

like, thoughts, questions, remarks

sometimes I think of an explanation that makes more sense to me

so I write it down

[solid yarrow]

do you reference the pages etc. too? Like p.56 "why did he ..."

[bright hill]

also, when I was bombarded by definitions while reading tu I kept a little glossary of new words for quick reference

[bright hill]

I don't, but I could

[fresh comet]

thoughts on Tu vs. Lee?

[bright hill]

I just include the chapter and subsection personally

[solid yarrow]

hm

[bright hill]

depends on what you want

I chose Tu coz I just want the bare minimum smooth manifolds to get to riemannian geometry

I like lee's writing and honestly I think he's the better writer

I loved his intro to topological manifolds

but he's too extensive for my needs

[fresh comet]

I see

I will be going through ITM soon

not sure about what comes next

I guess I'll decide when I get there though

[bright hill]

that's the spirit!

[fresh comet]

only issue is that ITM may send me six feet under

[bright hill]

never heard of it

[latent zodiac]

salute

[fallen dune]

who knows any good statistics graph programs

[bright hill]

where do you find all these obscure books lol

[fallen dune]

i need quick help

[latent zodiac]

I DONT KNOW 😭

[bright hill]

!help

[quasi jetty]

To ask for mathematics help on this server, please open your own help channel or help thread. See #❓how-to-get-help for instructions.

[fallen dune]

bro nobody in help will help me

[latent zodiac]

i just need supplamentary material for rudin's real and complx anal

[fallen dune]

so im asking here

[latent zodiac]

just wait someone will help

[fresh comet]

Folland

[bright hill]

that's against the rules

[latent zodiac]

why is everything you write striken through

smh

[bright hill]

this unironically

[latent zodiac]

cant tell if these are jokes or good suggestions

[fresh comet]

strikethrough almost always means I'm joking

[latent zodiac]

👍

[fresh comet]

but apparently DarQ agrees

[bright hill]

and, like, honestly blackberard I would read something else and read rudin as a supplement lmfao

[fresh comet]

lmfao

[latent zodiac]

but i love rudin

cuz once you understand the trick

its so clear 😍

and trivial 😍

[bright hill]

that's fine too, as I said, you can try rudin if you want

I'm just talking about my personal taste

[latent zodiac]

bro just give me a book and i will read it

i have 0 brand loyaloty

[bright hill]

I did

I gave you 3

[fallen dune]

well what is who gonna do

[latent zodiac]

ok

i will slave away over the summer

[bright hill]

and

for pointset

it depends on what you want to do

[latent zodiac]

I would read something else
alas, but what woukld you read

folland?

[bright hill]

if you wanna do AT then hatcher's notes is the way to go

if you wanna do manifolds stuff then lee ITM

if you wanna do anything else then either is fine

[latent zodiac]

these abbreviations are making me rip my beard off

[bright hill]

I mean, folland is what I read

so yea, prolly

[latent zodiac]

salute

will do

[bright hill]

royden is also fun I hear

it's a lot more concrete if you're into that

[solid yarrow]

how do you manage to read so much during semester... I'm astonished

[bright hill]

aaaaand for LA artin is very good

[bright hill]

me?

[solid yarrow]

like i barely have time

yep

but like everyone else

too

like

how?

[bright hill]

how do you know how much I'm reading this semester? lol

[latent zodiac]

ok so

• hold off on topo until first 7 chapter of rudin
• royden or folland for real and complex anal
• lee's intro to manifolds
• hatcher for algebrain topology

[solid yarrow]

how much are you reading?

[latent zodiac]

idk why all these bullet points are fucking me over

[solid yarrow]

👀

[bright hill]

royden and folland are just measure theory btw

[latent zodiac]

girl what

[bright hill]

I did say that

[latent zodiac]

this is NOT kawaii :((((((((((((((

[bright hill]

I also said I've never learned complex analysis so

[latent zodiac]

i blindly trust what internet ppl tell me

[fresh comet]

wait what's your end goal

[bright hill]

also, rca isn't exactly a complex analysis book

[fresh comet]

what're you trying to learn

[latent zodiac]

i just wanna learn stuff

for the fuck of it

[bright hill]

it's more of applications of measure theory to complex analysis

[fresh comet]

based

why no algebra though

[latent zodiac]

i am learning algebra

but im less confused on resources to learn algebra

[fresh comet]

I see

[bright hill]

uhm, I dunno, I don't really count the pages lmfao

[latent zodiac]

plus lang writes pretty much all the fucking algebra books anyway 🤷‍♂️

[solid yarrow]

how many books? per semester

[bright hill]

also, it varies a lot between books

[solid yarrow]

hm

[bright hill]

0, I've never finished a book

[solid yarrow]

so how do you know which books what topics etc

[bright hill]

don't read lang

[bright hill]

I ask around, I google and stuff

math stack exchange and math overflow are often very helpful

this server is also great

honestly, my first answer should've been this server

[fresh comet]

I always see people either completely preach Lang, or completely denounce him lmao

[solid yarrow]

but how do you use the book? like i have scripts from my profs, so I've rarely used any books. But want to do more. Just curious how

[bright hill]

lang is such a meme

[solid yarrow]

Do you just look stuff up or read the entire chapter, whats your approach?

[bright hill]

you just, like, read

[solid yarrow]

;-;

wow

how

[bright hill]

it's a book lmfao

[solid yarrow]

unsuprising

do you also do the exercises or just the read the good ol thingy

[bright hill]

ok, so I have a blog post that's more helpful

it helped me a lot while starting out

[solid yarrow]

👀

[bright hill]

https://brownmath.com/stfa/read.htm

[bright hill]

yes

I honestly don't do as many exercises as I should

but I try to work through the exposition

like, before each example, before each proof I try to work it out myself for 5-15 minutes

and really making sure I understand what I'm reading, I'm not just skipping over important ideas

[solid yarrow]

interesting.

[latent zodiac]

bruh

[bright hill]

lang is like the rudin of algebra bruv

except it's even worse

[latent zodiac]

everyone on #book-recommendations always co tradicts each other

[fresh comet]

yes

they do

lmao

[solid yarrow]

My prof uses mostly inverted classroom. Do you have any advice on how I could enhance this with books? Like read script then look for stuff in books?

[fresh comet]

I help contribute to the madness

[solid yarrow]

or what would be a suitable approach

[bright hill]

what's inverted classroom? isn't that where the students teach each other the material and the instructor supervises things?

[bright hill]

you should read dami's review

I agree with much of what he says

[fresh comet]

137 moment

[solid yarrow]

you get a script. you read it, and then the prof talks a bit about it, but you are expected to have read the material. so you as student can ask more questions in depth

[fresh comet]

okay but, do you think inverted classroom is a worse classroom model? @neat lintel

[neat lintel]

every inverted classroom class i've taken has been fucking terrible

always a shitshow

but i know it can be done well

[fresh comet]

how many of those even exist past 137

[neat lintel]

siefken's dynamics class was one

[bright hill]

#book-recommendations message this is for linear algebra
#book-recommendations message this is for algebra in general @latent zodiac

[fresh comet]

hmm

[bright hill]

wtf isn't that all course?

[latent zodiac]

cool

[bright hill]

I thought it was always a given that you read through the course material beforehand

[solid yarrow]

it is indeed recommended

i like it too

understand more

[latent zodiac]

still a little lost on reel and complex analysis but that’s a problem to deal with later 😄

[fresh comet]

I never understood what counts as "real analysis" anyways

[bright hill]

uhh, prolly just ahlfors

[fresh comet]

I think Folland even called the name an anachronism

[bright hill]

or shifrin

[latent zodiac]

👌

[bright hill]

altho, as I said, I have never learnt complex analysis

I just know these two are standard

dami prolly has a review lmfao

[fresh comet]

ahlfors typesetting reminds of me little spivak typesetting

[bright hill]

#book-recommendations message called it

@latent zodiac I would trust dami! his reviews are very often on point and he gave me a lot of the books which I used

[latent zodiac]

my hero dami

[bright hill]

ok, so to answer this I think that'll prolly be superfluous

if I were you I'd prolly ask my prof

I honestly don't have much experience learning through classrooms

mfw I self-learned 95% of the math I know

[fresh comet]

self-learning is better imo

[bright hill]

meh, it get's lonly

[solid yarrow]

Yeah, you're probably right. It just gets me thinking all the time. So many smart people here are talking about self-studying this and that book, so I was just wondering. So I thought, if I do it too, I will become smart too.

[fresh comet]

me frfr

[tall minnow]

that is basically how mentorship is done at the graduate level

good to get used to that kind of thing

[solid yarrow]

But how do you work with books? As a supplement for the given script?

[tall minnow]

oh, you get even a "script"?

[solid yarrow]

Yep

Like from the prof

[tall minnow]

at grad / postdoc level, you just read straight from papers/books

you will write the script of what you understand, so this is a level easier than that

but yeah basically just read to understand

you work out / prove everything as you read

[solid yarrow]

From books?

Or are you referring to the scripr

[tall minnow]

books, papers, whatever

they are all the same

[solid yarrow]

Hm

[tall minnow]

work out / prove everything yourself as you read

(blackbox only because you don't have time)

[solid yarrow]

And what if I can't prove the theorem?

[tall minnow]

how have you been studying maths

you try your best. if you run out of ideas, peek at one line of solution / proof. go back to the drawing board. rinse and repeat.

[solid yarrow]

Hm. Because as of know, I just read the thingy and try to understand everything.

Making sense of things I don't get

[glass peak]

The classic “I have no clue how to do this” look at the first line of the proof “this is so obvious, I’m an idiot”

[tall minnow]

any book can give you the proofs.
no book can teach you how to find the proof
and how to find the proofs is your whole job

just reading the proofs is like going to the gym to watch other people work out

[river moon]

and there will be theorems which you will never figure out how to prove without looking at the solution first, that's fine

[tall minnow]

you will learn the correct forms, probably, but you aren't gonna get any muscles

[solid yarrow]

So try to find an answer and if not peek try again. Use blackbox if no time.

[tall minnow]

yupe

[solid yarrow]

Hm.

I'll try that next time.

Thanks for the advice

[glass peak]

Out of curiosity, how have you been studying maths prior to this?

[merry plank]

What do you mean by using blackbox

[glass peak]

“If X holds, some magic happens in this black box and then the result pops out”

[merry plank]

What

So assuming?

Skipping?

[glass peak]

Basically just taking it on faith that it works without being too concerned about the details

[tall minnow]

blackboxing is just memorizing a theorem and using it without knowing why it's true

[merry plank]

Ah I see, that's what you mean

Thank you for the clarification

[tall minnow]

blackboxing is basically what engineers and physicists do