serious-discussion

[scenic patio]

But the result is lovely 😉

[solar hawk]

Ok I wanna do mvc

Fr THAYS cool af

[solar hawk]

I love mvc graphics in latex

It’s so good

What’s the first topic in mvc classes

Is it multi variable limits

[lunar python]

really it's mostly 3d geometry

[sly flint]

didn't you finish mvc

[solar hawk]

I mean write lecture notes for it

I only watched lectures i don’t take notes

CR goes hard

[bronze pelican]

True@

!

[scenic patio]

We began with limits yes

[solar hawk]

Ok

I will re learn calculus and write lecture notes on it

And then I will become frog frfr

[sly flint]

Oof
Yeah note taking goes a long way, I'm publishing an article on partial derivatives soon™️ too

[scenic patio]

The 3d graph you see there, though, was made using other software. I used Mathematica, since I could do more in it than, for example pgfplots or other LaTeX packages

[solar hawk]

Mathematica? The wolfphram alpha thing?

[scenic patio]

Yes

[solar hawk]

I usually use off plots in latex but is mathematica really that much better

[sly flint]

I'm broke so no mathematica for me

[solar hawk]

IT COSTS MONEY?

[scenic patio]

I can't compare... Haven't tried much in LaTeX. But Mathematica is cool I guess

[sly flint]

Yea, quite expensive

Student benefits in uni though

[scenic patio]

I'm probably the most broke person in this chat. My college gave me. A cracked version too...

[sly flint]

It's probably not cracked since colleges usually give out free access to their students

[scenic patio]

Honestly I don't even know if it's cracked or not. I installed the thing and was told to generate an ID & password from an online website they linked

[sly flint]

oh 💀

let's not assume the worst ig

[scenic patio]

But it works fine 😂

[sly flint]

Nice

[sly flint]

Was the website official at least?

[scenic patio]

The one where I generated ID and pass from?

[sly flint]

yea

[scenic patio]

I don't think so

☠️

[sly flint]

send link

[scenic patio]

Should I DM?

[sly flint]

Sure!

[solar hawk]

That crazy

[cerulean harbor]

how would i create the illusion of an infinite dimensional hypercube on a 3D grid system? Also when the 3D projection is moved how could I calculate the new vertex placement for all dimensions

Ideally, I only want to calculate the vertices that will be shown

[shrewd ledge]

Hii

[neat lintel]

Cat manifestation events

[ripe needle]

This is a homunculus I can get behind.

[vale wadi]

Ancient head cats

[bronze pelican]

Uwu

[neat lintel]

Hello, how are you?

[vale plover]

https://www.reddit.com/r/math/comments/1ay2got/what_would_you_consider_some_of_the_most/

[neat lintel]

lee ISM is overrated

[vale plover]

@bright hill @velvet dagger

[void tundra]

isn't darq on the ITM boat

[neat lintel]

lee ISM is still good. it's just not that good

i feel a bit bad about recommending it to people because of how fucking fat it is

if you can trim the fat somehow, it's good

not the most exciting book, but it gets the job done

[vale plover]

hmm maybe

[quaint loom]

Reduced row echelon form with unknown variables 💀 :(

I feel like I’m taking crazy pills just a ton of variables

[atomic flame]

Best paying job with not much post secondary education needed

Plz

[neat lintel]

It be like that

just use https://www.emathhelp.net/en/calculators/linear-algebra/reduced-row-echelon-form-rref-calculator/
there's never a reason to manually row reduce

[loud snow]

Is it?

Whats the alternative in DiffTop?

Lu Toring?

[neat lintel]

the alternative "learn the basics of smooth manifolds so you can go on to do differential topology or differential geometry or anything else that needs it" book is indeed tu

tu with lee here and there is optimal, i think

[quaint loom]

It was just a question salong for the type of objects the solutions to a system of linear equations would be.
Did that, got it returned saying I should use pivots.. 😅

I made a post in the help -forum with what I’ve done but it feels very wrong do to what I’m doing there

[loud snow]

Diffmaxxing

[eager veldt]

@quartz zenith can you help me with McLaurin series

[quartz zenith]

sure when i understand it

[eager veldt]

Ty

[neat lintel]

taylor series centered at 0

[neat lintel]

anyone?

is pie times infinity = infinity?

[queen peak]

hi guys

[pastel tusk]

yes

[shrewd ledge]

I am fine and you

[neat lintel]

Isn’t always true

[mighty bolt]

If the volume is less than 1, isn't it just something similar to a point? XD

[tacit magnet]

Why not? Its a positive number times inf so still inf

Is not true for 0 times inf or minus smth times inf

[neat lintel]

There are many kind of infinities depends on the field of mathematics you're working on

take the hyperreals for example, inf (normally used with the lowercase omega symbol) * 2 = 2inf which isn't inf

but in limits (precalculus), limit to infinity times a positive real number is still infinity.

[visual breach]

Hyperreals
That's the problem here

[tacit magnet]

Ik, but I assume it was referring to real numbers

[tacit magnet]

Why you explaining to me like idk what is going on?

Its a basic question when you start to work with limits for the first time, no need to go to other branches

[visual breach]

Normally multiplying "infinity" is not even allowed tbh

[neat lintel]

Ah, I assume it was generally referring to any infinities

[visual breach]

Do you consider hyperreals in a serious way?

[tacit magnet]

Ig the guy who originaly asked was in a limit context

I hope

[visual breach]

Indeed, it likely is

[cerulean harbor]

Yes however it is not

[plain owl]

lower case omega is more commonly understood as an ordinal

[bright hill]

yes

because of what rakko said, actually

I just wanna do the bare minimum diff topo possible to get to diff geo

[bright hill]

that's what I'm doing!

I don't know when to switch tho, I just go on vibes

and stuff that look interesting but aren't present in tu

[neat lintel]

if that is the case then I have evaluated the value of cosinfinity and sininfinity

just consider this expression $x_r=$cos\pi/1^r + isin\pi/1^r

[fresh comet]

random question: who created this server?

[neat lintel]

me

[fresh comet]

damn

[vernal token]

mniip

[visual topaz]

no

[neat lintel]

I hate not being paid

I want to create my own compiler/language but I'm not getting paid to do it.
I'll watch youtube instead

[burnt ledge]

are you getting paid to watch YouTube

Everyone laughs at this thinking its a trivial deduction but Now yuo see its actually not that trivial

[neat lintel]

No, but youtube doesn't make me want to kill myself

[pastel tusk]

it's not the roof or the doors either

how strange

[proven knoll]

woog I think

mniip was transferred ownership years ago

[neat lintel]

woog created the server?????????

WHATTTT

my life is a lie

i thought woog was just some normal member

[meager sonnet]

no she didn't

she owned it for a while

a user named Seph created it

[bronze pelican]

Forbidden lore

[neat lintel]

hello guys does any1 have the yr 12 adv math in focus worked solutions pdf plssss

[solar hawk]

I love making compilers!

LLVM is goated wrywhen

[icy locust]

how about NIR

[solar hawk]

i think both use ssa right

or atleast support it

[neat lintel]

Hey all

[dire glen]

hey

anyone here is self studying math?

[neat lintel]

Me!

[dire glen]

hey

how do you do when you're stuck on something if you don't know other people that knows math?

and can help you

i'm trying to ask in the server here but it takes 10 times more time as if i could go ask directly to someone

i'm considering paying a math tutor or something like that. did you ever do that?

[neat lintel]

Use mathematics stack exchange or just ask people here in general or chill if it’s short

[dire glen]

mm ok i'll try to use chill. most of the time people reroute me to help :/

[void tundra]

no if you have a question and want to ask it here see #❓how-to-get-help

[neat lintel]

If it’s about a short definition and not a problem discussion or advanced lounge is better imo

or a question about studying in general like this one

[dire glen]

this tells me to ask in the help channel.

it's what i was saying.

[fading parcel]

hi!!! ❤️❤️

[tacit magnet]

Hi

[pearl moth]

i'm not sure what you mean. i never get stuck. if i don't understand something the first time i read it, i just put it aside and go onto something else for a while, then come back later.

if you have a questoin about a particular topic not connected to a specific problem or exercise, take it to #math-discussion or the appropriate topical channel

[dire glen]

well for example i am asking now in a help chat about the gain, and why we take the abs value.

i can just accept it and move forward, or i can try to understand better the reason and connections, this helps me to remember.

[grizzled grove]

You can ask me in DM ...if I am online, I'll help if I can.

[dire glen]

so in this case i am "stuck", i have something i need to ask, i have this piece of information that is not fitting with the rest, doesnt have a justification. and i need to clarify that

[dire glen]

a math friend!

[pearl moth]

i'm not saying that you should move past something you don't understand; what i'm saying is that you should put it aside and study something different for a time, and ten return to it later

[dire glen]

ill try that

thanks 🙂

[pearl moth]

letting the problem "stew" in your subconscious may prove useful

you don't stop thinking about something just because you're not actively thinking about it

insight can come from unexpected sources

one advantage of self-study is that you're not on a firm timetable, and so you can take as long as you need to to learn something

[neat lintel]

OH you have own custom badge

[neat lintel]

Uhhhh

UHHHHHHHHHHHHHHH

Do you need IELTS/TOEFL + SAT or just SAT is fine for like ivy leagues things

Or MIT

Harvard

Whatever

[solid snow]

are you an international student?

[neat lintel]

Yea

• how do i prepare for the same?

I mean the math is easy as shit

I gave a IELTS Mock, got like 38/40

Idk still

[solid snow]

check the each university’s policy for required exams for int students

[neat lintel]

Umhmm i mean

Where do i find them?

On their websites?

[solid snow]

Their websites

[neat lintel]

Okay

[neat lintel]

How do you prepare for these tests

Like for me i have various courses etc.

How does the average US kid prepares lmao

[solid snow]

No idea

Which tests?

[neat lintel]

How is the competition and all

[solid snow]

SAT?

[neat lintel]

SAT and IELTS mainly

Yeah

[solid snow]

Idt we do ielts

[neat lintel]

Hmm

Okay

And SAT?

[solid snow]

Theres books, khan academy, tutors

Google

[neat lintel]

Okay

And no special prep?

[solid snow]

that isn’t special prep?

what?

[neat lintel]

No? 😭😭

[solid snow]

What could be considered special prep

[neat lintel]

And are the math questions hard?

[neat lintel]

Khan academy and all is average math idk

[solid snow]

That’s relative to how much math youve done

[neat lintel]

I meant to say like higher level stuff

It asked me basic algebra and all

In the mock

Percentage , find x and things

[solid snow]

They are generally not difficult for someone who has taken, say calculus and did well in it

[neat lintel]

Umhmm

Thanks

And what is maybe a good enough score?

Above 1500?

[solid snow]

Good enough for what?

[neat lintel]

SAT

Like the top colleges

[solid snow]

Idk. Check the median score for whichever college youre looking at. SAT scores themselves don’t really guarantee admission or anything

[neat lintel]

Ayo what

WHAT

What else?

[solid snow]

Grades, extracurricular activity, athletics, etc.

It’s a bit arbitrary

[neat lintel]

👀

Extracurricular activities?

[solid snow]

Yes

[neat lintel]

We didnt have a lot of them

Athletics no

[solid snow]

Welp ¯_(ツ)_/¯

[neat lintel]

So they dont take into consideration?

Lmao i have a GREAT academic record 😭, i have nothing in extracurricular

[solid snow]

They review your application “holistically “

[neat lintel]

☠️

[solid snow]

As in they consider your circumstances and what not

[neat lintel]

Maybe the one time i won a 100m sprint in grade 3 😭😭

[lunar python]

US college apps are crazy

[solid snow]

But it’s generally difficult for domestic students who did all that and are good scholars

It’s like triple difficulty for int

[lunar python]

but basically to summarize it just being a good student won't get you in by itself even as a domestic

[solid snow]

Especially since they dont offer fin aid and are need aware when you apply

[neat lintel]

Uh oh

[lunar python]

you need to have extensive extracurriculars - clubs, community service, etc.

in the US you don't necessarily need to have research or owning a nonprofit or shit

[neat lintel]

We dont have anything like community service over here 😭😭

[lunar python]

for internationals...kinda

[solid snow]

If your country has free uni just do that LOL

[lunar python]

you've never volunteered anywhere?

[solid snow]

Huh?

[lunar python]

in your life?

💀

[neat lintel]

No?

👀

[lunar python]

[neat lintel]

I mean where do i even volunteer

Theres nothing to volunteer in

[lunar python]

schools, hospitals, clubs, youth sports, libraries

[solid snow]

“Volunteer [my city]”

[neat lintel]

😔, y'all just rejected my application

[solid snow]

What??

[neat lintel]

Never

[neat lintel]

Yes?

[solid snow]

Have you tried looking for it or asking?

[neat lintel]

Nobody literally nobody has done it never heard of anyone

[solid snow]

That just sounds extremely implausible lmak

[neat lintel]

The community service concept doesn't exist

[lunar python]

the only kid I know who got in to MIT (this is a domestic) had a paper in combinatorial representation theory, went to MOP (top 30 math kids in all of US), and won the USAMO

💀

not all kids are that cracked admittedly

most MIT Kids are just overachievers who really love science and do their best

[neat lintel]

I mean i know of it from youtube videos lmao 😭, my peers wont even know what community service is

[lunar python]

but those are the kinda things you need to get into US top colleges as an int

[lunar python]

😭

do you not have a single library

[neat lintel]

Yo 😭

[lunar python]

in your entire city

[neat lintel]

We have supposed libraries where you have to take your own book to read

And they charge fees for that silent room shit

[neat lintel]

Hmm

[solid snow]

I mean still apply because it’s a lottery at the end of the day

[neat lintel]

Yeah

[lunar python]

but maybe focus on US grad school

[neat lintel]

One of my seniors got WR 64 or something

She applied for some ivy league institute

[lunar python]

idk what WR 64

💀

[neat lintel]

World rank

Lmao

Idk too

[lunar python]

💀

what

[neat lintel]

Yea

Idk

Lmao imma not apply 😔🔥🔥

[neat lintel]

I have academics , and not even this

[lunar python]

where are you from like india

[neat lintel]

<@&268886789983436800>

[lunar python]

where it's all about national exams and stuff

[neat lintel]

This

[neat lintel]

Yea

[lunar python]

yeah the US doesn't care as much about that

they don't even care so muhc about olympiads nowadays

[neat lintel]

Umhmm

Imma try my hand in

Wtaf

[lunar python]

idk don't sweat the US

it's probably not worth the loans oyu'll have to take nayways

[neat lintel]

Lmao

Harvard offered me full financial aid 😭

[lunar python]

pluh

[neat lintel]

Idk why they said that on their website

[lunar python]

did you get in yet

[solid snow]

huh?

[neat lintel]

Na

[lunar python]

oh did you do NPC

💀

price calculation != getting in

[neat lintel]

Yeah 😭🔥

[lunar python]

and getting an offer

[solid snow]

thats for domestic students btw

[lunar python]

harvard is need-blind internationals

[neat lintel]

Lmao what 🔥😭😭

[lunar python]

they give full aid

[solid snow]

Oh word

[lunar python]

but they also accept like 60 internationals a year

[neat lintel]

I didnt understans need blind

[lunar python]

from the entire world

[plain island]

deleted message

[lunar python]

lmao

[lunar python]

they don't look at your finances for admisisons

[neat lintel]

Lmao check his other gifs 💀

[solid snow]

some unis admission is tentative of whether youre able to pay

[neat lintel]

Umhmm

[plain island]

i don't even know who you're talking about

[lunar python]

Almost all US colleges

only I think 7 don't

for internationals

[neat lintel]

Im in the middle of discussing my future later

[lunar python]

Harvard, MIT, Stanford, Amherst, Dartmouth, and a couple others

but they're all prestigious and impossible to get inot lol

[neat lintel]

Impossible isnt a problem

Money can be 😭

Yo your colleges rules are out of this world

[lunar python]

it's america

[neat lintel]

I mean

Tf

[lunar python]

their goal isn't to give it to the most deserving students

it's to give it to the kids who benefit the institution the most

and that's very often domestic kids

💀

[neat lintel]

Umhmm

Sad

Atleast here we have

[lunar python]

they're businesses

it's america

[neat lintel]

One exam

Merit based admission

[lunar python]

and kids who aren't good at exams get fucked over

there's no good compromise here

becuase there's no way to uniquely determine who the best and most deserving are

[neat lintel]

Lmao 😭🔥

[lunar python]

💀

[neat lintel]

True

[lunar python]

that's life

[neat lintel]

My teacher once had a friend

Who was like

Very very good under 500 ranker

But got like 4500 something

Cuz his father died

On the day his exam was scheduled

Lmao

I mean

[lunar python]

lmao

[neat lintel]

One exam is not good too

[lunar python]

💀

bruh

[neat lintel]

Imma not try

US colleges

How about oxford?

[solid snow]

Did you do A Levels?

[neat lintel]

What are A levels

[solid snow]

oops

[neat lintel]

Lmao

Talk in - Indian Education system - language

Lmao jk enlighten me

[solid snow]

Check to see if any of your exams are accepted as a substitute

They are international courses with curriculum and exams administered by exam boards in the UK

[neat lintel]

Yeahhh

A sec

[solid snow]

The reason I ask is because they typically require that you have AAA in order to apply

Two exams with A* score and one with A

A* being the highest mark for an A level exam

[lunar python]

oxford is also based on your scores and entrance exams

so you'll be better off with that

[neat lintel]

Hmm

Theres a CAIE board

We have like CBSE CAIE and state boards

I took CBSE and it isnt convertable to CAIE

CAIE provides you with A levels

Im fked up

[neat lintel]

Umhmm

[lunar python]

you can take AP Exams

if you need

[neat lintel]

Where, how?

[lunar python]

register

india probably offers them

somehwere

[neat lintel]

Hmm true

Lmao

I have one centre like within 4 km

[lunar python]

wild 😭

[solid snow]

IIRC they accept 3 level 5s on AP scores as an equivalent

[lunar python]

I think it's 4 5's

not 3

but yes

they do need to be APS in your subject as well

[neat lintel]

IIRC 😭

[lunar python]

so for applying math yo uneed AP Calc, AP Physics exams, AP Chemistry

[neat lintel]

Umhmm

Is it all hard

Or something

[lunar python]

it's probably 10x easier than indian exams

💀

up to you tho

but honestly don't sweat about foreign uni

my parents went to indian uni and now they're very successful int he US

[neat lintel]

Umhmm

I mean

As a backup plan for IITS

[lunar python]

this is not a backup plan

[neat lintel]

I am keeping MIT and Harvard 🔥

[lunar python]

gl with that :DD

[neat lintel]

Naw

Y'all

I mean

I dont have anything except average academics

Not average tbh

[solid snow]

international application to us top unis is not a backup plan

[neat lintel]

But not skyrocketing

[solid snow]

[lunar python]

or US unis in general

even if you don't need financial aid

[neat lintel]

Lmao

[lunar python]

getting into even like a random mid state school is hard

[neat lintel]

I'm preparing for a college with an acceptance rate of 0.85%

And thinking of it

Half the seats are shit

So

Take it down to 0.4% maybe

• whatever difficulty levels i faced in mock tests were like easy

Comparitively

Thats why i decided

To kinda try on

International colleges

Idk

Y'all have too many rules

[lunar python]

Consider this

[neat lintel]

Yeah

[lunar python]

International acceptance rate to mit from India is like 20 people out of probably 10,000 applicants

[neat lintel]

Umhmm

[lunar python]

And most of those applicants are far more cracked than the general us applicant

[neat lintel]

Lmao

[lunar python]

Or general Indian Iit applicant

[neat lintel]

Umhmm

Im cracked

Dw

Im not applying

I have decided 😭🔥

Maybe just give SAT once as a past time

Idk

Thanks a lot marlin and josemom

[lunar python]

It’s fine to apply

Just don’t think of it as a backup

[neat lintel]

Lmao okay

[lunar python]

Who knows maybe you’ll see me at mit when I get in

[neat lintel]

Yo

YO

I'm encouraged once again 😭

[solid snow]

Apply if you want just because theres the chance that you get accepted

[neat lintel]

Umhmm

If they choose to overlook

1. nothing at all except academics
2. finances (want a need blind, yes?)
3. nothing too sparkly in academics
4. i will have a good SAT score tho (prolly)

[lunar python]

(I’m not getting into mit)

[neat lintel]

4, cuz majorly what indians suffer is from the english part of the test

Thats like way harder than math

[solid snow]

uh 1 and 3 are not negotiable really

[neat lintel]

Lmao

They consider national olympiads?

[solid snow]

they will look for good academics and extracurricular development

[solid snow]

Yea

[neat lintel]

Arent SAT scores = Academic excellence 😭😭😭

[solid snow]

The thing to keep in mind is that there’s not a singular thing that determines if you get in or not

[neat lintel]

Lmao okay

Can they be like - this one looks cute, let him in 😭😭

[pearl moth]

no sat scores are just a measure of how good you are at taking SATs

[solid snow]

A good SAT score is kinda a given for applicants

Which is why they look at other things to differentiate

[pearl moth]

and at most top tier college pretty much everyone has a perfect or near-perfect SAT

[neat lintel]

😭🔥,

[neat lintel]

Umhmmm

Then i have no chance

[solid snow]

Still apply

If the cost doesn’t put you off

[neat lintel]

I can get 1580+ no cap (if i study hard enough, i already have like 1500+ capabilities)

But nah

I dont have ANYTHING

Except that

A above average academics

[sly flint]

Are you in 12th?

[neat lintel]

Nothing except that

[pearl moth]

harvard has a policy of admitting a handful of "low-perfomring students" as a suicide prevention policy

[neat lintel]

11

[sly flint]

Meanwhile IITs:

[neat lintel]

Lmao

[sly flint]

You still have time, dw

[neat lintel]

Nah next year i will have Mains + Boards + Adv

I have all the time in the world rn

[neat lintel]

Yo thats a quota for me 😭

[pearl moth]

no, i'm serious: they admit enough people who show a history of average to above average performance but a strong work ethic, so that every class will have at least one student who ioesn't expect to be the best in class and won't be bother by being "worst in class" so that the overachievers who are the bulk of harvard admits, who would be bothered by that, won't actually be "worst in class"

[sly flint]

That's good because NSEP and NSEC follow JEE main + adv syllabus so you can bag some achievements if you try hard enough

[pearl moth]

since they started doing this the number of suicides has dropped

[neat lintel]

Lmao

[sly flint]

That's nice. Meanwhile IITs don't give a shit.

[neat lintel]

Frrrr

[pearl moth]

yeah well, the iits are fucked seventeen ways to the ganges

[neat lintel]

Everyone is the top 1000 in IITS 😭

Even one of the smartest brains in india would be like the lowest in his/her class lmao

[sly flint]

LOL

[neat lintel]

How must that feel

[peak tide]

would almost be easier to try to find a way to screen out people who might be candidates for suicidal thoughts

[neat lintel]

Hello guys! I really love mathematics and really want to get a PhD in the future but when I solve problems I sometimes encounter things that I haven't noticed and subsequently I am not able to solve the problem or sometimes I am unable to solve a problem entirely (some of them have elegant solutions). These failures make me feel like I am not good in mathematics and will ultimately fail in my goal. This makes me feel really bad.

[solid snow]

Ok?

Practice more

Rome wasn’t built in a day

[neat lintel]

When im learning new shit its like i can only solve 30% of things. Slowly i get that to 100%

[sly flint]

True, it took 9 months

[neat lintel]

If you cant do 30% initally, you learnt the wrong way

[neat lintel]

Lmaoo

Thanks yall

For grounding my ambitions

[sly flint]

Eragon try to start a math club in school or something

[neat lintel]

For cutting off my wings before i could fly lmao 😭

[solid snow]

Still apply

[neat lintel]

LMAO. My school is a dummy one

[solid snow]

Never not apply because you don’t think you wont get in

Thats just self selecting yourself out

[neat lintel]

Its like ₹8000 , i could get like 5 applications form for JEE, BITSAT shit

Not a small amount

But yeah

Will still apply

[solid snow]

If the finances are an issue then possibly

[neat lintel]

Umhmmm

[solid snow]

Or even look for waivers or whatever

[neat lintel]

I mean after i get selected

Thats not a problem

[solid snow]

Finances as in “ability to pay application fee”

[neat lintel]

Student loans and all

[sly flint]

You only have to get an official document stating you started an after school club

[neat lintel]

Lmao no 😭😭

[neat lintel]

You wanna say bribe the officials 👀🔥🔥

[sly flint]

No

[neat lintel]

I can

Produce a document

Lmao 😔

But no

The fking school wont know what a Math club is 🔥

Will try tho

[sly flint]

Yep, i'm doing the same this year

[neat lintel]

Best of luck

Imma try IIT tho now

I mean its easier 🔥

As in understanding the rules

[sly flint]

Yea

[neat lintel]

Cuz there are none

Rank = College

No shit

[sly flint]

It gives you a sense of security

[errant current]

How do I divide my time in learning new stuff and creating my own things? (While doing math)

[sly flint]

Meanwhile you don't know what'll happen if you apply to colleges abroad and end up losing like $75 every time

[neat lintel]

Lmao true

Nah imma skip abroad for the timebeing

[sly flint]

I'm only applying to 5 or 6 max

[pearl moth]

nah took my mom nine whole months

[neat lintel]

🍞

[neat lintel]

We knew that

[sly flint]

You can try germany though, tuitions cheap

[neat lintel]

Lmao

Im not allowed abroad if i dont get into the top institues or something

Cuz thats just useless 🔥🍞

[solid snow]

germany

[sly flint]

TUM is a top institute for engineering

[solid snow]

Germany has historically been a centre for the sciences and math

[neat lintel]

I havent researched yet

[solid snow]

They have top institutions

[neat lintel]

Umhmm

[sly flint]

Euler was swiss german right

[solid snow]

Its

[pearl moth]

i often encounter things i don't understand. i just put them aside, sleep on it, and come back to them on a later day.

[pearl moth]

really? i doubt you were there

[river moon]

and russian

[neat lintel]

I know everything

[sly flint]

Try to convince your parents ig, TUM is why Ich lerne gerade Deutsch

[neat lintel]

Imma take my leave thanks yall

[neat lintel]

😭😭

[sly flint]

Bye!

[neat lintel]

After JEE prolly

[neat lintel]

Good luck kid! I hope it goes well. You'll do great. It's nerve-wracking but don't lose focus and try to play to your strengths rather than trying to solve every problem.

[junior vault]

Someone help i cant do calculus

Ive got like 400 integrals on my page rn

[neat lintel]

wdym

[pearl moth]

sounds like you better get cracking then

[neat lintel]

True

[pearl moth]

the whole point of exercises like that is for you to get comfortable with doing integration. it won't help you to have someone else do them, you need to work through them yourself so you'll build useful mathematical intuitions

[junior vault]

I dont do maths tho its physics

[neat lintel]

their point still stands

[junior vault]

Im sure i could do it but never been taught about integrating from -inf to inf

My calculus book from james stewart has been sat in my cupboard since i bought it

[glass peak]

Then reading it would surely help

[junior vault]

Problem is its about 10^8 pages

[glass peak]

Physistss integrate with infinite bounds all the time, you need to learn it

[pearl moth]

all the more reason

[glass peak]

I’m aware, I’ve used it all, but you just work through it over time, it’s very foundational to physics

[pearl moth]

physicists have to do lots of integrals

[junior vault]

Great

[glass peak]

You define work as an integral with infinite limits which is super basic and important for physics

[neat lintel]

physicists will integrate over basically anything

it's crazy

[glass peak]

Which is just one specific example, they show up everywhere in physics

[junior vault]

Its the gausian integral

[glass peak]

Yeah that shows up a lot in physics

[pearl moth]

often over everything and they just use a density funciton to exlcude parts they don't want

[junior vault]

That’s actually exactly what im doing

I need to find the action of a complex scalar field with lagrangian density using wick rotation or sum shit

[pearl moth]

yeah sounds pretty physicsy

have fun with that

[junior vault]

Im sure i could do it if my physics teacher read my emails

[glass peak]

Even I don’t know wtf that is and I did a fair amount of physics, how have you gotten this far while still being unsure about how to deal with integrals with limits at infinity

[junior vault]

Seperate proof im doing myself

The start was simple

Tryna observer how a complex scalar field with lagrangian density reacts under dif temperatures (its to do with cosmic strings)

Last integarl I actually bothered to do was hyperbolic tangent

[lunar python]

Bruh

I think you can do a integral to infinity

(Hint, you take a limit)

[junior vault]

I just did int 1/x from 1 to inf

Makes more sense than i thought

[lunar python]

Yeah lol

[junior vault]

I just tend to put off tasks when they look hard

Now cas im doing limit from -inf to inf how could i do that with int 1/x

Is it Lim t appr inf of ln|t| - lim t appr -inf of ln|t| ?

[bronze pelican]

I'm a Gelbart fan now

Tate's thesis is so weird

Why are you making a zeta function associated to each Schwartz function on the adeles

[proven knoll]

Affirmative action? Where they admit students based on equity?

[vivid halo]

I mean there are a lot of L-functions to account for lmao

the important point is that you don't really have the freedom to take a Fourier self-dual Schwartz function in general

[visual breach]

I cannot recall what Schwartz function is despite looking into Tate's thesis

[vivid halo]

so there really is a difference between the zeta integral for the Schwartz function and its Fourier dual when dealing with the functional equation

[vivid halo]

on R^n it means all derivatives are rapidly decreasing

[visual breach]

Ah, by Schwartz function do you mean a function which belongs to schwartz space

[vivid halo]

in the p-adic setting it means locally constant with compact support

[visual breach]

Hmm, is this because exponential decrease is just too fast for p-adic settings?

[vivid halo]

and yeah you have Schwartz spaces for any locally compact Abelian group

[vivid halo]

I mean it's because smooth means something very different in the p-adic setting

[visual breach]

Hmmm, maybe yeah, I do not have an idea how you would 'differentiate' in p-adics.

[vivid halo]

for a general locally compact Abelian group you write this as an inverse limit of Lie groups and take smooth functions on these

[visual breach]

Ouch, inverse limit >.>

[vivid halo]

when your group is locally profinite like in the case of p-adic fields this notion trivializes, since you're just writing an inverse limit of 0-dimensional manifolds

the inverse limit here is not so difficult

[visual breach]

Yeah, but somehow it always makes my head spin

[vivid halo]

it's just a filtered colimit here

[visual breach]

'co'limit?

[vivid halo]

uhh yes

[visual breach]

Are you talking about category theorical construction? Because IIRC, inverse limit is a limit

[vivid halo]

yeah I'm being kind of sloppy here the limits and colimits are being exchanged under Pontryagin duality

[visual breach]

I really need to catch up on the Pontryagin duality thing

Think I saw it in algtop textbook.

[vivid halo]

anyways the point is that a Schwartz function will be supported on some elementary Lie subgroup

whose restriction to that elementary Lie subgroup is Schwartz in the usual sense

[desert sapphire]

bro I joined this server knowing multiplication tables...

what even is pontygain duality?

[visual breach]

Ahhhh

Now I (kind of) see the connection

Maybe the 0-dimensionality has a lot to do with the "locally constant" part?

[vivid halo]

yeah for locally profinite things you're just working on finite groups

so there isn't so much going on

and this forces locally constant + compactly supported

compactly supported just comes from being supported on some (finite) elementary Lie subgroup

[visual breach]

I see, this generalization is quite interesting!

Sad that I am bad at dealing with analysis..

[vivid halo]

yeah you're really using some actual structure theory of locally compact Abelian groups in general

the locally constant thing is coming from like

Q_p and Z_p have lots of small open subgroups around 0

[visual breach]

Which might be coming from.. discrete Z?

[vivid halo]

but something like S^1 has no small subgroups in this sense

like if you take a sufficiently small neighborhood of the identity in S^1 the only subgroup in that neighborhood will be the trivial group

[visual breach]

Indeed, S^1 is "sufficiently continuous" (sloppy terms)

[vivid halo]

so when you're looking at something like characters Z_p->S^1 this forces it to be trivial on p^NZ_p for N>>0

[visual breach]

Oh, nice

[vivid halo]

so the continuity of the character is forcing it to be locally constant

[bronze pelican]

Hm I will keep reading.

Ok this is kinda wild

$\int_{\mathbb{Z}_p}\abs{a}^s d^\times a = \frac{1}{1-p^{-s}}$

[fathom swallow]

ヤミン(◉◡◉✿)

[visual breach]

Looks quite nice!

[vivid halo]

welcome to Tate's thesis enjoy your stay

[vivid halo]

here's a crazier version of this that comes up in the GL_2 situation

you can write the usual Fourier expansion of real analytic Eisenstein series in terms of adelic zeta integrals in the same way as Tate's thesis

[visual breach]

Ouch, this now looks like proper analysis..

[vivid halo]

gotta love this function

what a lovely Fourier expansion

[visual breach]

I wanna cope

[vivid halo]

tbh the usual Bessel function at the Archimedean place is scarier than what happens at the p-adic places

[visual breach]

Who would be able to go over such a messy computation?!?

[vivid halo]

it's not that bad

[visual breach]

The formula is way too long for me

[vivid halo]

yeah but it breaks up into nice pieces

you deal with the constant term and non-contant terms separately

and then you deal with them one place at a time

[neat lintel]

but what about (p, q)-adic Bessel functions

[vivid halo]

and in each case you have some integral expression for the coefficients given to you by the Whittaker model

and then you just evaluate those integrals

[visual breach]

Sounds like an involved process

[vivid halo]

it's maybe like 5 pages of work I guess

[visual breach]

I guess still way better than dealing with Bessel function, but

[visual breach]

huhhh

[vivid halo]

constant term is basically a page if you compress it a bit

nonconstant terms aren't any more difficult

there are fewer terms to evaluate and you just have to recognize that a certain integral is related to the Bessel function

[visual breach]

You said that it's not that bad

[vivid halo]

it's literally just screwing around with 2x2 matrices, change of variables, and geomeric series

like there isn't anything too insane going on here

[visual breach]

Ah wait

Does that imply, there are real insane stuff out there?

[vivid halo]

yes

[visual breach]

Found the real reason to avoid Langlands

[vivid halo]

this is just GL_2

imagine how bad it can get for other groups

constant term for GL_2

constant term for G_2

[visual breach]

G_2????

[vivid halo]

the exceptional group G_2!

[visual breach]

Oh my

Btw did you really

Go through all these mess?

[vivid halo]

this is from someone's slides but I've done this computation before yes

it's also not so bad

[visual breach]

Not so bad
What if

I add a sign error somewhere

(G_2 is ofc not Z_2 right)

[vivid halo]

no no

G_2 is the smallest of the exceptional Lie groups, it's 14 dimensional

there are 12 terms in this expression corresponding to the 12 vectors in the G_2 root system

[visual breach]

Yeah

Does not look like characteristic 2

[vivid halo]

and there is some standard combinatorial rule for computing each of these terms

[visual breach]

So, when you made sign error somewhere

How do you remedy the issue afterwards?

[vivid halo]

it would be scary to see someone write out this kind of example for E_8 or whatever

12 terms is okay

248 terms is not okay!

you could get a computer to do the combinatorics for you I guess

but like

why

[visual breach]

Excuse me

I can only recall up to 7 terms

[vivid halo]

the beautiful thing is that you can draw the G_2 root system in dimension 2

so like, on paper

idk how to draw things that are in dimension >3

even dimension 3 is a stretch

but dimension 2 is comfy

[visual breach]

At least you can visualize 3 dimension

[vivid halo]

barely!

[visual breach]

And 5 dim & higher are usually easier

[vivid halo]

I can't visualize that!

[bronze pelican]

I don't see this

[vivid halo]

it's geometric series

[visual breach]

Wdym

[dawn lichen]

me struggling on amc10 problems 20-25

[visual breach]

How do you even do e.g. alg geo without visualizing sheaves

[vivid halo]

DAWG WHAT SHAPE IS THIS HELP

[visual breach]

Looks like a mess yeah

[vivid halo]

I have a function with poles along these hyperplanes

but like wtf

how am I supposed to INTUIT

[visual breach]

These are hyperplanes right

[vivid halo]

yes

[visual breach]

Yeah if this is really 3 dim

[vivid halo]

planes if you like

[visual breach]

It just is, like it is right there.. idk how to explain

Maybe purple and green are not parallel?

[vivid halo]

they are parallel

but like wtf shape is this

[visual breach]

Yeah

[vivid halo]

they didn't teach me this shape in school

I can visualize a cube, an octahedron, but not this

the fuck kind of shape is this

you feel me

[visual breach]

Just bunch of partitions around origin and some others, it seems.

[brave shell]

Ah, yes, the projective dodecahedron.

[vivid halo]

yeah I mean the equations for this are very simple

but like WHAT DOES IT MEAN

[bronze pelican]

Is |a|^s a locally constant function on Z_p?

[visual breach]

Isn't it just like slicing pizza

But 3 dimension.

[vivid halo]

no but you can break up Z_p into a bunch of shells where it is locally constant

[visual breach]

One slice is slightly off

[vivid halo]

literally a one line proof

[visual breach]

What is this from, btw? Is it just a random graph

[bronze pelican]

I see

[vivid halo]

desmos lol

[visual breach]

Yeah, random graph >.>

[vivid halo]

it's not random

[visual breach]

Does it have some meaning?

[vivid halo]

for r=3

this is a multi variable generalization of the completed Rieman zeta function

it has poles along these planes

[visual breach]

Maybe giving some visual of "density" at each point could help.

[vivid halo]

[tall minnow]

why is Absta looking into Tate's thesis again?

[visual breach]

Oh, I am not

[vivid halo]

pty is

[visual breach]

s1 = 1
s1 + s2 + s3 = 0
s1 + s2 = 2
s2 + s3 = 0
s1 + s2 + s3 = 3
s3 = 0

Ah, that makes sense!
(Still a mess)

[bronze pelican]

I am because im reading Gelbart

i started reading Gelbart chapter 10 because i wanna understand Jacquet Langlands correspondence but then decided to read from the begining to see how far I could get. Rn im in chapter 6

I'm a big fan of Gelbart. He doesn't spend too much time on details and skips a lot of proofs while giving te idea behind them. Its very easy to read and come away with the big picture and thrust of ideas.

Bump on the other hand is very detail heavy, and exercise heavy. Its not as easy to read Bump, but I appreciated the earlier chapters of Gelbart more because I already did those details in Bump.

[tender tulip]

I am tempted to truck my way through measure theory and a lot of functional analysis to do like, an extremely formal and in-depth proof of Generalized Stokes from the ground up piece by piece

[deep mango]

I don't really see why, generalized stokes is really a theorem about riemann integrals and manifolds

and has very little to do with functional analysis or lebesgue measure

[tender tulip]

Just as a big trial of my own understanding

[visual breach]

What is truly generalized stokes theorem?

[deep mango]

whether or not you can use those, philosophically it is completely disjoint

[visual breach]

But is that general

[deep mango]

how would it not be..

[lunar python]

Wait that’s all stoked theorem is

Sully

[deep mango]

"stokes theorem" usually refers to the case of 3d, curl, and Omega = surface

[lunar python]

Yes

[visual breach]

Assumes locally trivial-ness

[deep mango]

"generalized stokes theorem" is this

[lunar python]

Because when we have 1 form q d of a 1 form is curl

[deep mango]

maybe there's a slightly more general version which admits singularities or something

[lunar python]

And then we just have the one form on the left hand side

Huh

Wild

[visual breach]

And then perhaps you can adopt it onto algebraic geometric object

[deep mango]

I guess I will say that like

There are """"versions"""" of this theorem for nonsmooth functions or weirder domains

But they're all very iffy

For that you would want measure theory and functional analysis

[visual breach]

Ah, great to hear!

[deep mango]

But then it becomes less stokes theorem as a fact about geometry and more various forms of function space duality properties

[neat lintel]

strokes's theorem

[fresh comet]

actual question, is it stoke's or stokes'

i thought it was the latter, but now i'm just confused

[neat lintel]

the dude's name was stokes

so "stokes's theorem"

[fresh comet]

i thought we drop the final s when we have an apostrophe following an s?

[neat lintel]

"stokes' theorem" might be fine too

i think that's only for plurals

i don't know

[fresh comet]

why is english so annoying wtf

[neat lintel]

it seems like no one can really agree on this one

[fresh comet]

hm

[neat lintel]

use whichever one you feel like using lol

[fresh comet]

stokes' looks nicer imo

or i could call it Kelvin-Stokes/Stokes-Cartan

but thats just annoying

ig you were right

[neat lintel]

spivak's differential geometry books use "stokes' theorem" while lee and tu use "stokes's theorem"

[fresh comet]

i should have taken a linguistics class

fk

[neat lintel]

it seems pretty divided

i get the feeling that older sources use "stokes' theorem" and newer ones use "stokes's theorem"

just from looking through a few manifolds textbook pdfs on my computer

[fresh comet]

i suppose i'm old-fashioned then

damn

[neat lintel]

boomer spotted

[fresh comet]

😢

its okay

i'm fine with being mentally old

at least i wont have brainrot

[mystic ivy]

@neat lintel is that your dog in your pfp

[jagged forge]

oh i thought he still had the hyena as his pfp

[surreal sapphire]

its a cat...

[mystic ivy]

ah shit my bad

[ripe needle]

MLA and APA both say add 's to end of name in order to form possessive if name ends in s
So it should be: Stokes's Theorem

General grammar in English allows just the apostrophe: Stokes' Theorem

[mystic ivy]

wouldnt stokes' imply there are multiple stokes

whose theorem it is

[ripe needle]

That should be Stokeses'

[mystic ivy]

ill take your word for it

[tall minnow]

English is a bad language
And then you hear how the French pronounce 97

[neat lintel]

4*20+10+7

[jagged forge]

more like 4 20 10 7

[neat lintel]

quatre-vingt-dix-sept

[main cypress]

@hollow sundial Hi! You seem really qualified, what does a Postgrad in Math do for a living?

[velvet dagger]

Yeah. Also isn't there a pattern in French where it's like

Oh 1x is kinda with a ze vaguely at the end of the French word for x

So 11 is onze

And that goes until 16

Then it turns into 10 x

Until 19 and it goes back

[jagged forge]

un deux trois quatre cinq six sept huit neuf dix
onze douze treize quatorze quinze seize dix-sept dix-huit dix-neuf vingt

yeah pretty much lol

[velvet dagger]

dix-neuf
Deez nuts

[jagged forge]

soixante dix neuf

that’s 79

also suck on deez nuts

[exotic smelt]

Hey everyone, I'm currently in my first year of university studying as a vocational training studen computer science. I decided to take this stanford course on mathematical thinking: https://online.stanford.edu/courses/hstar-y0001-introduction-mathematical-thinking

Anyone interested to work on the assignments of the course together in a weekly manner till we finish it? If more people are interested we can form a group and also advance from there.
Feel free to dm me or reply to this message if interested.

[pearl moth]

lol

[stable sage]

|1 2 3
|0 -3 -6
|0 0 0

is that a echlon form matrix?

[inland panther]

you mean rref?

[stable sage]

maybe

i dont think thats rref tho

second row breaks the condition

[inland panther]

right

[stable sage]

iam trying to understand rank of a matrixs from this site

https://www.cuemath.com/algebra/rank-of-a-matrix/

thats where i got that from

Now, we apply R3 → R3 - 2R2, we get:

⎡⎢⎣1230−3−6000⎤⎥⎦

Now it is in Echelon form and so now we have to count the number of non-zero rows.

[plain owl]

the dimension of the image is really the most clear definition

[sour hill]

Should I become a quant if I am terrible at olympiads?

[plain owl]

huh

how are those related

[sour hill]

i’ve talked to 6 quants who went to my school and they all made AMO

[plain owl]

the bigger problem is your profile

would be a bit difficult without a basic grasp of economics

[sour hill]

lol my profile is a joke about erdogan

[plain owl]

it looks indistinguishable from being serious

[sour hill]

and erdogan voters

[plain owl]

alright then

[sour hill]

oops

[sour hill]

but yeah

i’m good at taking math courses

i’ve taken math courses at the college sophomore level and gotten A’s with minimal effort

but i’ve studied for literal thousands of hours for AMC’s and yet i’ve still not made AIME

[plain owl]

it's very different from the math you do in a job or university

[gritty plank]

So now that the dust has settled, can anyone explain why Category Theory has been such a failure?

[glass peak]

It’s a powerful tool in modern mathematics so I’m not sure in what sense you mean that

[deep mango]

Right like

Finally someone said it

[deep mango]

I propose its due to the people who do it like @flint basin

[vivid halo]

what do you mean by this

it's not really a failure at all

there are cultural issues around like, lots of mathematically immature people tend to want to learn it for the wrong reasons

and there are parts of category theory that have limited applicability to other fields of mathematics, but it's hardly unique in this regard (something like set theory is probably worse in this regard, and almost every field has its fair share of "useless" results)

[plain owl]

category theory has been a resounding success

there are very few modern fields of mathematics where you don't see some influence of category theory

[vivid halo]

see: all of analysis basically

[plain owl]

not true

[vivid halo]

although even that is becoming less true these days

[plain owl]

I'm in analysis

[vivid halo]

I mean category theory tends to influence hard analysis much less than more algebraic areas of mathematics

[plain owl]

that is true

[vivid halo]

you basically never see spectral sequences in analysis lmao

the only spectral sequences in analysis are sequences of eigenvalues of operators

[plain owl]

stuff like terminal and initial objects do still matter tho

people do use commutative diagrams

[vivid halo]

although it does seem like a lot of this is an issue of like, until recently we did not have very good language for doing algebra in the topological/analytic setting

there are some hypermodern reformulations of classical complex analysis that are very categorical in nature that are taking off somewhat

[latent isle]

ranjan by 3609

[winter moon]

alia bhat

tu kya kar rhi ho idhar

[velvet dagger]

So the thing in analysis is that there are many parts, some of which are more amenable to categorical language. But then the highest profile stuff is often PDE, Euclidean harmonic analysis, that sorta thing

Those areas aren't gonna interact with it, while the stuff that intersects algebra more (operator algebras, group theoretic harmonic analysis) are less well known. In fact at least a few, if not most, PDE types I know would say that if you're using a commutative diagram you're by definition doing algebra rather than analysis

[gleaming panther]

I think I found a way to estimate logarithms

Hmmmmmm

Like log base 7 of 14

Just break it into 7*2

Then use the logarithm product rule

To get, log base 7 of 2 + log base 7 of 7

Log base 7 of 7 is 1

So you have log base 7 of 2 +1

Then repeat