serious-discussion

[storm sage]

LOL

that's hilarious

[neat lintel]

mood

[tiny forge]

some helpers have zero patience, they'll spam walls of maths at literal 13 year olds and then say "im done with you" when they dont immediately get it

[hollow sundial]

this gives me no hope for humanity

[bright locust]

What is that

[neat lintel]

it's just children being annoying, you were probably like that at one point in your life

i was too

[storm sage]

^

[neat lintel]

the best thing to do with annoying children is to block them

[storm sage]

plus I try not to help unless I'm in the right state of mind to

[uncut socket]

Screenshot I took of someone's messages in the server

[bright locust]

Was he banned

[tiny forge]

do you guys get a ton of DMs too? people ask me to help them and im like put it in the discord?? why limit the people who can help you down from thousands to just me

[wild lantern]

I guess there are def cases where you ought to give a kid the tools to solve something and leave them to ponder on it.

[storm sage]

yeah I just write "check #❓how-to-get-help"

[hollow sundial]

true. i keep forgetting that < 13 year olds join

[uncut socket]

Probably

[neat lintel]

i turned off DMs from this server. was a good choice

[static loom]

they're cowards

[mild nebula]

F my ex lol

[storm sage]

wait you can do it just for one server?

[tiny forge]

oh you can do that?

[storm sage]

okay that legitimately made me laugh

[mild nebula]

That has the same energy as "Go to bread"

[neat lintel]

right click server icon > privacy settings

[hollow sundial]

yea me too unless i need to message modmail

[neat lintel]

just do the good old moderators ping

[storm sage]

I have it on but I just tell people to check #❓how-to-get-help

[uncut socket]

I do this every once in a while. It just sucks when you can't message modmail

[tiny forge]

brilliant thanks

[neat lintel]

why do you need to message modmail? just ping the moderators lmao

[wild lantern]

Find your fav mods home address and show up at their home

[uncut socket]

If I do this, people just run, if they know they are cheating on a test

[neat lintel]

let them run

[storm sage]

how is this any different from getting banned

[hollow sundial]

they like server change requests in modmail. but i kept getting ignored so that was pointless anyway.

[neat lintel]

pinging moderators will instill fear

which is good

[hollow sundial]

@ryc lives in rew york city

[wild lantern]

I am booking my cross country flight rn

[storm sage]

on an unrelated note, I saw people having a conversation about low effort youtube channels in the desmos server and a feeling of pride swelled in my heart when I saw this

immediately screenshotted it

[uncut socket]

I want to witness the b& from RokettoJanpu

[hollow sundial]

damn

[storm sage]

I am famous enough for people to shittalk me

it's so funny

[bright locust]

Alright

[storm sage]

I have achieved true celebrity status

[static loom]

firsthand? @tall badge

[bright locust]

Alright. Beat Cristiano Ronaldo in fan base

[storm sage]

LOL jasd;lkfjak;ljf

someone sent me that copypasta

[uncut socket]

I guess this user got banned but remember this?

[storm sage]

the if X has a million fans I'm one of them copypasta

[uncut socket]

When that user said they were "disabled"

[hollow sundial]

oh shit Ann even hopped in on that one

[tall badge]

@static loom not now im having hotpot

[static loom]

lol

[hollow sundial]

Called out that liar

[static loom]

ok after your hotpocket

[hollow sundial]

what soup base and meats?

[tiny forge]

where do you keep all these screenshots dldh haha

[uncut socket]

Hotpot*

[bright locust]

The server archives

[uncut socket]

My secret safe

[storm sage]

I've established a bond with some of the repeat need-helpers

[tall badge]

im not dipping a hotpocket in my pork broth soup

[storm sage]

it's so funny

[hollow sundial]

what's the difference between a pepperoni pizza and a mathematician ?

a pizza can feed a family of 4

[wild lantern]

Hot pocket with soup sounds good

[tall badge]

try it urself and tell me how it tastes

[static loom]

true most mathematicians don't have enough meat on their bones to serve 1, much less 2 people

[hollow sundial]

my fav broth!

[tall badge]

same

its also mala

chinese spice

[hollow sundial]

RIP your tongue

[tall badge]

classic hotpot broth

its not that bad

[hollow sundial]

and ||butt||hole

[static loom]

better than what I'm having ||ketchup on tilapia||

[uncut socket]

How many mathematicians does it take to screw in a light bulb?
None. It’s left to the reader as an exercise.

[hollow sundial]

Lol asshole mathematicians

[uncut socket]

I knew someone who put hot cheetos in their ramen

[wild lantern]

Hot cheetos in soup is good

[static loom]

yucky

[wild lantern]

Wait why is that yucky but not ketchup on tilapia? Lol

[uncut socket]

I remember this, it was with the troll who couldn't do basic multiplication, and I literally stated the same thing over and over again

[cold needle]

aw hell naw

[bright locust]

What if the reader is a mathematician

[tiny forge]

did you notice the key word: overlap

[bright locust]

Lemme guess, he didn’t know the times 0 rule

[static loom]

I was joking lol

not actually puting ketchup on my tilapia lol

[bright locust]

Jokingly didn’t know

[wild lantern]

You just keep passing it on until somebody gets fooled into doing it as an exercise.

[static loom]

too absurd to be real

[bright locust]

It’s not an exercise

[wild lantern]

I have seen people put mayo and canned tuna in a bowl and eat that for lunch.

[bright locust]

It’s literally bait

[uncut socket]

You mean the writing zero on the next line thing? They knew that but they wrote a zero then wrote a number over it, like straight on top of that zero

[wild lantern]

Well not for you if you manage to pawn it off on somebody else as an exercise.

[bright locust]

Tf?

Why would you put a number over 0

[uncut socket]

Here's like an example of what I witnessed

Where they literally wrote a number over the zero

And I stated so many times that they were overlapping the numbers and not to do that

[bright locust]

He knew but pretended not to know

He thought you’d be in bait

Trying to waste your time

[uncut socket]

I wanted to punch that kid in the face, through my screen

[bright locust]

Was he an actual kid?

[uncut socket]

I think it was just someone being bored

Because they said they were helping their brother with decimal multiplication so they came here

I linked a video then they were have trouble so I told them to start with basic multiplication

[bright locust]

Then someone banned him?

[uncut socket]

Yep

Sadly

[tall badge]

cc @static loom

[storm sage]

discord ringtone is so loud

I need to disable it

[deep mango]

Omg

That looks great

[static loom]

ahh very nice

[storm sage]

random question, does vegetarian hotpot exist

[static loom]

I'll take everything on the crab plate please

[uncut socket]

Yes, I think so

[neat lintel]

what poem is that from

[uncut socket]

The user's messages were deleted because they were banned

[hollow sundial]

I LOVE SINGLE POT HOT POTS

[hollow sundial]

my wallet breaks looking at that seafood platter

[tall badge]

actually a good deal here, hotpot is $20/head

[tall badge]

sure just pick any vegetarian broth and only boil veggies

[bright hill]

that's rough

you can maybe help in the topic channels?

people are FAR more reasonable over there, especially the advanced channels

• you get to befriend the regulars :)

oh

woops

haha

I should've thought more about that

nice solution tho

[storm sage]

I befriend the regulars who need math help too xD

[deep mango]

It took me quite a while of staring to see how to do it. Nw

Good that you saw the general idea

[summer sandal]

Riemann lasted 6 months, I lasted a day.

Some many pings.

[burnt dune]

wydm

riemann lasted 6 months

[summer sandal]

Helpers role.

[storm sage]

tbh I turned the role pings off because I realized even if I don't get the pings I still help just as much

[bright hill]

yeah

I don't think the helper role works tbh

like, if you want to help people, you'll be in the help channels helping people

if you're just idly on your phone and you get a helper ping you're 99% not gonna throw whatever you're doing to respond to the ping

which, like, just defeats the purpose

[charred mortar]

I suppose it gives some angry people something to ping instead of mods

Or impatient people

[hardy vessel]

imagine a helper role but with nobody actually having the role

it's a pure ping funnel

[storm sage]

LOL

Also you can't even tell who needs help with the helper role tbh

Because most of the time when you see it, it's like an hour ago and the thread is closed

[hardy vessel]

and even when you hear a ping, you already have a 6 trillion ping backlog and you have no idea where the hell it came from anyway

helper pings, it's nice at parties "hey see I have 46378948763567849837 unread pings on discord"

[storm sage]

lol

[carmine creek]

get helper to farm pings

[summer sandal]

Most questions on help channels are stuff I don’t know or don’t what to learn.

When it’s LA or analysis/calculus I am happy to help.

[carmine creek]

wait why is discussion 2 more active than discussion

[summer sandal]

Statistics I ignore.

And annoying geometry questions.

[carmine creek]

i farm easy questions

Theres lots of LA problems in help channels

[storm sage]

I farm german speaker questions

[burnt dune]

everyone do not talk i can do papa rudin exercises on my own now

[carmine creek]

lmao

[honest veldt]

The king has spoken

Your throne awaits

[burnt dune]

yup exactly

[honest veldt]

Are you an arab, mon ami

[burnt dune]

yes

how did u know!!!#OP@!K

[honest veldt]

totally hackified 😈 😈 I'm in the system

where ya from

[burnt dune]

egypt

[honest veldt]

My man. Guess who else is from egypt

[burnt dune]

elsisi

did i get it right

[honest veldt]

you got it my guy

that's him

[burnt dune]

yess!

that was hard

[honest veldt]

awh damn it I thought I'd met a badass egyptian at last

[burnt dune]

are u

from

eg

[honest veldt]

Yeah

[burnt dune]

b2mana

[honest veldt]

B2mana ya ragel

[burnt dune]

gamed neek

kam sana

[honest veldt]

A5er 7alawa

17

[burnt dune]

gamed

19

[honest veldt]

Studying from papa Rudin too, that's so solid

3alamy

[burnt dune]

hahahah im worse than u think

[velvet dagger]

Damn putting the alphabet in math has gotten vengeance now

[burnt dune]

habeby walahi

[honest veldt]

I'm still towards the beginning of baby rudin, I'll catch up once I finish thanaweya amma lol

One week left 😎 😎 😎

[burnt dune]

yea enta arabat khalas

[velvet dagger]

L3rabiya dyal mghrib mashi b7al dyal misr, ghay kun s3eeb bashn hdru

[burnt dune]

ana awl mara a3rf enak maghrebi

gamed

gamed moot

[brittle socket]

Hi

[honest veldt]

Do you have a hard time reading egyptian dialect dami?

Cause I have a hell of a time reading maghreb dialect

[velvet dagger]

Pretty sure we can't understand each other lol

[burnt dune]

we cant hahhaa

[honest veldt]

Yeah lmao, I only caught a few words from that

[velvet dagger]

Egyptian Arabic sounds a lot more reserved than Moroccan Arabic tbh

Like

Moroccan Arabic has more harsh sounds

[honest veldt]

Yeah ours just sounds informal by nature

[wild lantern]

Arabic 2 spooky

[honest veldt]

true...

[wild lantern]

Except this characterت

Looks like a smile

[honest veldt]

It's the T sound

[wild lantern]

Lmao

[honest veldt]

oh it does look like a smile lmao

I almost always write the two dots as just a horizontal line to save strokes so I haven't noticed

[wild lantern]

I'm supposed to take an arabic intro class next semester

[honest veldt]

Uh oh....

[burnt dune]

is teafortwo jacobian?

@atomic cypress

[wild lantern]

Apparently the dude who runs it is really nice though so hopefully it goes well.

[carmine creek]

cool

[honest veldt]

Best of luck doot, that's all I can say

[velvet dagger]

Doesn't seem like it

[honest veldt]

Hope you enjoy your time

[atomic cypress]

What about me and Jacobites

[burnt dune]

are you jacobian

like as in

jacobian name

discord

[honest veldt]

isn't that the matrix thing

Is jacobian a nationality

[tender tulip]

Anything relating to Carl Gustav Redundant-Middle-Last-Name Jacob Jacobi

[burnt dune]

was someones name

who helped me alot

in the server

had this animal ( do not know its name ) as a pic

[burnt dune]

so yea

solitarywolf too

[tender tulip]

No offense to Mr Jacobi but it looks like god set the y coordinate of his face a little too low

[honest veldt]

I should not be laughing

But I am laughing

[little vine]

someone change of variabled his forehead

[burnt dune]

ricci flow sounds so cool

like a dope name

[tender tulip]

Train of thought

Bro has a fucking steep forehead god damn
Gotta do a gradient ascent on that shit
It'd take like 2 steps to get to the top of his head
Wait what if you did gradient ascent continuously
Wouldn't that be like an integral
Gradient is just the jacobian of a scalar field, it's just the first partial derivative, what if you took an integral

[neat lintel]

[cold needle]

[burnt dune]

vector fields do not belong in math

please do not mention them

[neat lintel]

[tender tulip]

I never thought of doing something similar to that before until I stared into the intense wall of Jacobi's forehead

[mellow moon]

wanna fight

[burnt dune]

they just do not belong man

woman

they just dont

idk shit about them other than i got an A+ in the math class i took that had them

so i know better than you all 🙂

and yes it was calc 3

[neat lintel]

this still sounds like a skill issue

[burnt dune]

yea im just memeing

[azure nymph]

After a summer of agony I have finished calc 2

[wild lantern]

Good job

[chilly coral]

Damn, a 99 is an F? Tough class

[clever knot]

why is this? (required or you want to)

[wild lantern]

Yeah we have a language requirement

[clever knot]

I really hate that...

[wild lantern]

We have to do two semesters of a foreign language.

[clever knot]

We have to do 4

for all stem programs (assuming you didn't do it in highschool)

[wild lantern]

It's actually just a math dept requirement here lol

[clever knot]

So you could have taken 4 years in highschool and you don't need any in uni

It is a requirement for all stem programs 😦

[wild lantern]

If I only did cs I wouldn't have to do a language.

I'm kind of excited for it.

I took french in hs ages ago and goofed off the entire time

So I didn't really get anything out of that

[clever knot]

I took 3 semesters of french in highschool and thought (they always preached 2 was enough for uni) and wanted to have a study hall for senior year so I didn't take the 4th year

I took a placement and only placed into the 2nd or 3rd semester (doubt I could actually keep up though) for uni

[wild lantern]

I suppose that's better than nothing.

[clever knot]

not really because then I have to play catch up

the fact basically a whole semester of classes is devoted to it is kinda

[wild lantern]

You must move to france to ensure this pays off.

[clever knot]

Anyways, my program doesn't require them as it isn't part of the Arts and science

[clever knot]

well yeah I got french 1-3 waved and then took 1 semester of spanish at uni and then said nahh. But getting throw into a 4 semester of french would kill me

my highschool french was subpar experience

so arts and science degrees are a no go

[wild lantern]

I guess french was okay for me

Idk I learned absolutely nothing

[clever knot]

that is the problem

I learned and recall basically absolutely nothing

I would have to basically start at square one

[wild lantern]

The issue must be the french and not me

[clever knot]

or self study and take a clep exam

any possible way

and personally that would be my only way of doing it because waste of 4 courses because I won't have to passion for it

my first semester in spanish was so awkward with 6 students in the class and no one wanting to talk

it was actually awful

and I just wanted the clock to speed up as soon as I sat down.

[dusky spade]

Hi

[wild lantern]

Some classes that require participation have the most tense vibes lmao

[clever knot]

Everyone in the class expect for two students (the one student had taken some spanish and knew the teacher. the other actually wanted to learn it)

[dusky spade]

I made some art with desmos cause I was bored

[clever knot]

Rest of us were most likely doing it for the credit. Sadly the adjunct isn't there anymore because of the lack of interest for the next semester (only 3 people signed up)

[azure nymph]

See my school is cool cause you can take 2 semesters or take an international studies course

[clever knot]

we also have to take international studies course on top of the langauge stuff.

well sorry

"international perspective" not international study

Guess that isn't the same

[scarlet jasper]

[coarse fiber]

Anyone got a recommendation for a GRE practice test to take as a benchmark/diagnostic before starting prep? I don't want to use one of the free powerprep exams so early on but idk if that's a good idea

additionally if anyone knows of a grad application prep discord community I'd love to hear about it.

[nocturne aurora]

when you have no say in gen but when you go here its dead

[proper sapphire]

math does not belong

[barren owl]

So u basically talk about math everywhere in this server

[sleek wing]

Nooooo my entire life’s work noooo

[honest veldt]

fake mathematician all along

I guess you could say....

[sleek wing]

The real ones already knew

[honest veldt]

Damn it

[ancient flame]

hi wew

@sleek wing

!!!

[surreal sapphire]

#chill

[ancient flame]

sorry

[neat lintel]

they write tanx, cotx, secx, cscx and their inverses with ^(-1), and d/dx in the united states

we write tgx, ctgx, 1/cosx, 1/sinx and their inverses with arc, and f'(x) where i live

why cant it be the same everywhere

[honest veldt]

tg

Still can't believe that's real

[neat lintel]

ikr

we dont have secant and cosecant notations to make derivatives prettier

[honest veldt]

Oh I hadn't even considered that........ My condolences..

[neat lintel]

yup

while this is mostly trig and a bit of calculus affected so its not that big a deal

[honest veldt]

Well you're gonna get used to the more common notation anyway if you read any math books that aren't from your classes

you planning on doing that?

[neat lintel]

honestly my workflow is messy

ive learned a LOT of math that shouldnt be taught at my level

which is someone who finished year 1 of high school

[honest veldt]

Hey, all the better, that's sick

[ancient flame]

wait so how is arcsec written

[neat lintel]

all thanks to the internet

[ancient flame]

arc(1/cos)(x)

???

[neat lintel]

i have never seen inverses of secant functions

[ancient flame]

oh

[neat lintel]

in like

romanian(?) notation

[ancient flame]

lol

[neat lintel]

which has such flaws

[honest veldt]

It's good you're interested in math already, just means you'll be ahead compared to people your age (if you put in the work)

[neat lintel]

the only downside is ill finish a year late

ive repeated a year in middle school

[honest veldt]

Ahh I see

[neat lintel]

ive taken a few final exam papers myself you normally take when you finish high school

[honest veldt]

But that's just kinda happening either way, no use dwelling on it

[neat lintel]

lowest was 60/100 highest was 80/100

i think i can find it

[honest veldt]

Well that's great, already getting acceptable grades, with 2 years to go

[neat lintel]

yah just the language barrier

[neat lintel]

3*

im going into year 2

[honest veldt]

Wait how many years of highschool do you have

[neat lintel]

4

in total

[honest veldt]

Ohh, I see

Mine has 3 so I assumed wrong

[neat lintel]

its fine

[neat lintel]

i sent the wrong one dammit

i meant to show this one

that i scored highest on

[hardy vessel]

"you get 10 points for free" that's nice

[neat lintel]

its part of the system

lowest you get is 10/100

highest 100/100

[analog salmon]

the postdoc that I did some work with who ghosted me earlier this summer viewed my linkedin profile two days ago

what does this mean

[deep mango]

Lol

Consider finding them on a dating app and matching with them

[analog salmon]

Made a neural network that could classify 2-knots by their alexander invariant with 98.9% accuracy and he never responded lol

[orchid edge]

Sounds pretty cool, how big was your network?

[analog salmon]

it wasn't anything fancy, just a relatively straightforward DNN, think it had 3 hidden layers and 192 neurons per layer? With dropout and relu activation

[orchid edge]

Gotcha, and the output?

[outer eagle]

Hello

[neat lintel]

do you guys think harder exams are better or worse

like is it better for the professor to conduct a more difficult test or an easier test

i grew to really hate easy tests since it really doesnt test your knowledge or skills, it just tests your knowledge of "oh look you have memorized everything in my lecture notes!". but then again harder tests can sometimes give an underestimation of a person's skills

agh idk, just give me ur opinions

@neat lintel I think harder with easy correction is good

if some student is going in the right direction but not quite right that's a good thing

as in you don't assign the same marks to someone who didn't write anything and someone who almost got it

totally agree

[ripe wasp]

guys by open n balls do they usually refer to open balls in R^n or open balls with radius n?

because the book im using is using them to refer to open balls in R^n

but i’ve seen people talk abt open epsilon balls $B_\varepsilon (x)$

[fathom swallow]

sean

[ripe wasp]

with radius epsilon

so now im confused

is it just whatever fits in context?

[devout nacelle]

You should check the context, although my best guess would be an open ball in R^n

[ripe wasp]

alright thank you

[tender tulip]

essentially the set of points where their metric with x is less than epsilon

they look like spheres under the euclidean norm

[bright hill]

this definitely refers to open ball with radius epsilon

[ripe wasp]

i'm guessing it's based on context because n usually represents natural numbers

[bright hill]

the radius of an open ball is often explicitly mentioned tho even when using that notation

[ripe wasp]

what notation do u guys usually use for open balls

[fathom swallow]

DarQ

[bright hill]

$B_r(x)$ obviously

[fathom swallow]

DarQ

[ripe wasp]

i use $B_\varepsilon(x)$ but i see a lot of textbooks using $B(x; \varepsilon)$

[fathom swallow]

sean

[ripe wasp]

i don't like the semicolon notation

[bright hill]

what textbooks are you referring to?

[ripe wasp]

apostol, pretty sure mendelson does it as well

though i might be mistaken

yup mendelson does it as well

[bright hill]

welp, I now know what cringe books I need to avoid :)

[ripe wasp]

yeah

[odd narwhal]

I use B(x,e)

No semicolon

[storm sage]

I like $B_r(x)$ but I've seen $B(x;r)$

[fathom swallow]

Eric Tao (he/him)

[neat lintel]

the semicolon notation is good once you start doing things with more complicated radii than just "r"

e^x vs exp(x) is a good comparison

[ancient flame]

e^x >>>> exp(x)

[storm sage]

no

[tall badge]

exp is good for ugly powers

[pearl moth]

using exp is nice when you stuff a lot of stuff into the exponennt, otherwise you're putting the "meat" of your experssion into something that renders in smol txt

[velvet dagger]

Huh

???

e??

[ancient flame]

probably epsilon

understandable rokabe and ab9rf

like I wouldn't write e^integral

but I would write e^(x^2)

[bright hill]

e^x also doesn't make sense when x is a matrix

coz matrix multiplication isn't commutative

[wild lantern]

Wut

Matrix multiplication doesn't always commute lol.

[bright hill]

oh lol

I meant isn't

haha

[wild lantern]

Are you saying e^x normally commutes but the matrix exponential doesn't always commute?

[neat lintel]

what are you talking about darq

[bright hill]

since matrix multiplication isn't commutative $\exp(a+b)\neq \exp(a)\exp(b)$

since normal multiplication is commutative you use the above fact and exp(1) to get all values of e^x, or smth

I'm hazy on the details, one sec

[neat lintel]

what does this have to do with "e^x also doesn't make sense when x is a matrix"

https://en.wikipedia.org/wiki/Matrix_exponential

[bright hill]

we use e^x as a shorthand for exp(x) coz you can use the value of exp(1) and from that, by raising exp(1) to the power of x, you get all the values of exp(x)

so you just set e=exp(1)

and then say e^x=exp(x)

[neat lintel]

sure

[bright hill]

you can't exactly do that for matrices tho

[neat lintel]

sure

[bright hill]

that's why e^x doesn't make sense for matrices

exp(x) is what you should be using

[neat lintel]

the expression "e^x" when x is a matrix is still defined as something though. i don't know why you're saying it doesn't make sense

[wild lantern]

Your issue is just the notation yeah?

[bright hill]

yes

[wild lantern]

Gotcha gotcha

[neat lintel]

it's good notation

[bright hill]

I mean

well, ok

[neat lintel]

just say you don't like the notation instead of saying "it doesn't make sense"

[bright hill]

I just think notation should be descriptive of what's actually going on since e^x isn't actually raising e to the power of a matrix

[bright hill]

sure

I guess what I said at first was ambiguous

[neat lintel]

the matrix exponential is defined by taking the taylor series for e^x and plugging in a matrix. in this way, i think it's good notation

[tall badge]

idt e^A & expA look so different as to suggest one is better

[pearl moth]

you can argue it's notation abuse, but meh, it yields something that is not meaningless

it reminds me of conor mcbride's "derivative of a type" paper in which he noticed that certain type expressions that arise in certain expansions resemble taylor series expansions

[rich hamlet]

how "connected" are odes and pdes? there is a pde course that doesnt prereq the ode one and i want to take it, but will taking that cover the ode related material as well?

[tall badge]

for most pde courses youd want a good ode background even if not explicitly listed as a prereq

quite a few topics involve solving pdes by solving related odes

[rich hamlet]

i see, then ig ill take the course later then

is complex analysis fun

i mean are the results interesting

ive heard that the condition for differentiability is really cool

[tall badge]

the one u refer to is that the existence of complex derivative implies derivatives of all order exist

[worldly void]

what exactly is the amplituhedron? all the explanations I've come across have been too technical for my very basic math understanding

[leaden torrent]

this might sound harsh, but some things simply cannot be understood without knowing the prerequisite mathmatics

[worldly void]

of course

just wasn't sure in which camp the amplituhedron resides

[leaden torrent]

uh, it's a construction mostly seen in some variants of string theory

im not super up to date with the literature but i know that its a trait of supersymmetric yang-mills

wherein the amplituhedron enables computations of scattering amplitudes

(among other things)

https://arxiv.org/abs/1212.5605

[pearl moth]

it's a pretty object when you render it under certain assumptions, which makes it highly amenable to clickbaitery

[leaden torrent]

i've honestly never seen any clickbait about it

perhaps i just avoid those types of places

[signal saffron]

Guys can someone please recommend me differential equations textbook at the level of first year university courses.

[rich hamlet]

i see

[ancient flame]

@signal saffron #book-recommendations

[pearl moth]

the second link when i searched for 'amplituhedron' was clickbait

https://www.wired.com/2013/12/amplituhedron-jewel-quantum-physics/

[bronze pelican]

I'm surprised this is a wired article

[pearl moth]

it's a reprint of an article from quanta

it's not a bad article in and of itself, but it's also clearly clickbait

[bronze pelican]

Oh

[light needle]

quanta

[bright hill]

what's wrong with quanta?

[storm sage]

^

[pearl moth]

quanta is usually ok, although they are writing for general popular consumption and they do sometimes veer into clickbait territory

also, some things just naturally lend themselves to being clickbait

[full isle]

I want one of these

[neat lintel]

so

here's an example i like @ancient flame

[ancient flame]

:o

[neat lintel]

we have $$f(x) = f(a) + f'(a)(x - a) + o(x - a)$$ as i wrote before. rigorously, $o(x - a)$ refers to some function $g(x)$ with $g(x)/(x - a) \to 0$ as $x \to a$. think of it as "terms which go to zero faster than $x$ goes to $a$"

[fathom swallow]

TTerra

[neat lintel]

just to recap

[ancient flame]

mhm

[neat lintel]

since the o(x - a) term gets smaller as x goes to a, we expect that f(x) should behave like f(a) + f'(a)(x - a) as x gets closer to a, right?

the error gets smaller and smaller

[ancient flame]

yeah makes sense

[neat lintel]

looking at things like this can help motivate theorems you see in differential calculus

i'll give the first example that made me go "huh, this is a useful viewpoint"

you know the inverse function theorem?

[ancient flame]

maybe but not the name, lemme look it up

oh yeah I've heard of it

[neat lintel]

basically "if f'(a) is non-zero then f is invertible with a differentiable inverse near a"

plus some formula for the derivative of the inverse, but that's the easy part of the theorem

[ancient flame]

oh I knew the second part

not the first

interesting

[neat lintel]

slight fix

[ancient flame]

ah

[forest jackal]

f(x)=x+2x^2 sin(1/x) 😽

[ancient flame]

L

[neat lintel]

pain

[ancient flame]

pain pain go away
come again another day

[neat lintel]

fine i'm being sloppy

[forest jackal]

haha dw I am just being annoying

[neat lintel]

anyways...

[ancient flame]

wowwww

[neat lintel]

it's all good lol

[ancient flame]

unacceptable

jk

[neat lintel]

SO

[ancient flame]

if u were being super rigorous I probably wouldn't follow as much

[neat lintel]

if $f'(a) \neq 0$, then the linear function $x \mapsto f(a) + f'(a)(x - a)$ is invertible, right?

[fathom swallow]

TTerra

[ancient flame]

alright yeah

[neat lintel]

so going off of this, we might expect f itself to be invertible near a

since the error gets smaller and smaller

[ancient flame]

makes sense

[neat lintel]

this is one way to motivate the inverse function theorem

not a proof at all, but a good way to see why it should be true

[ancient flame]

?

[ancient flame]

alright

[neat lintel]

that's a cute example of how looking at derivatives as (giving) linear approximations is helpful

[ancient flame]

yeah

that's interesting

[neat lintel]

hmmm

what else can i say

[leaden torrent]

please don't interrupt convos with random commentary, john madden.

[neat lintel]

Blocked message.

[ancient flame]

tterra's patience: 0

lol

[forest jackal]

Well your initial point was about DG being like looking at low order taylor polys. I would mention second derivatives and curvature in the simplest setting of calc I. After all, curvature is one of the biggest motivations / objects of study in early DG.

[neat lintel]

i remember sitting in an MVC lecture and the prof motivated the implicit function theorem in a similar way. that's when it really clicked to me

[ancient flame]

implicit function theorem? lemme look it up

[neat lintel]

it's the same thing as the inverse function theorem

[ancient flame]

oh lordie

I see

just more variables

[leaden torrent]

all calculus is taylor polynomials, and all analysis is calculus

[ancient flame]

so thus all analysis is taylor polynomials

[forest jackal]

indeed

[neat lintel]

that was not a talk i am prepared to give lol

i need food

[ancient flame]

LOL

[forest jackal]

lmao

[ancient flame]

go eat

once I finish linear algebra (which may be a while) I think diff geo would be fun to study

[neat lintel]

my statement about DG and taylor polynomials / series was just a rough feeling i got

[ancient flame]

dw I did multi already

[forest jackal]

it's true though

[neat lintel]

nothing i can write down super clearly (yet!)

jEt BuNdlEs 🤪

[forest jackal]

yeah I was about to say, so many statements/objects just depend on finite order jets.

[neat lintel]

e.g. curvature at a point of a riemannian manifold depends only on the second order jet of your metric there

(gmod: fancy coordinate-free way of saying "second order taylor polynomial")

[ancient flame]

lol

[neat lintel]

gmod: "jets" and "jet bundles" are how differential geometers talk rigorously about things like taylor polynomials

[ancient flame]

✈️

[neat lintel]

exactly!

why are they called jets anyways

[leaden torrent]

more mathematical terms should be 1-syllable evocative-yet-meaningless words

like jets, sheaves, stalks

makes talking about them easy

algebraists were off to a good start with groups/rings/fields

but then they pulled out "modules" and "categories" and "manifolds" and ?????

fuck off

then again, if not for unnecessarily long mathematical jargon, we'd never have BanAnaMan

[cold needle]

when are we getting scopes in math

,w scope

[fathom swallow]

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

Requested by MetalNinja27#7212

[cold needle]

huh

is blank

anyways Scope could be a cool math word

if its not already used

or maybe thorns

ok not blank anymore

i want Cofe rings to be a thing

[fervent pebble]

https://en.wikipedia.org/wiki/Scope_(logic)#:~:text=In logic%2C the scope of,the forall or exists symbol. (not rly math but logic(?))

doesn't seem too used tho so should be able to be used in math

[cold needle]

oogisimo

[fervent pebble]

just make a new thing and call it the scope

make sure it's important enough to warrant it tho

[cold needle]

well we saw what they did with Normal so

like

yeah

i think its okay

kekw

[fervent pebble]

linalg also has a lot of nice wards

trace 👀

• determinant --> det

[cold needle]

Spectrum

[ancient flame]

scope's theorem

[pearl moth]

"always use mouthwash before going on a date"

[primal seal]

There should be an honorary “Tupac’s theorem” too, in my mind

[sacred sun]

"high fives"

[soft basalt]

no I am not a jacobian

the last jacobian club was there in France was in 1794

when Maximillian Robespierre died

or lets say got exectued by his own method

[toxic gale]

Congrats! 😄

[reef carbon]

aren't those jacobins

[brittle socket]

Hello there

[soft basalt]

Nooooooooo they are my moms

Lol obv they are

[fringe needle]

Since there’s no one chatting here… @arctic grove why the fuck you doing jee advanced

Didn’t you tell me you wouldn’t need to?

[arctic grove]

ooh yeah

i thought i wont need to

but my score in the exam that was supposed to save me wasnt good enough

soooo

ye

[uncut socket]

@loud rivet

[loud rivet]

• C

[uncut socket]

Because I saw you helping that person

[loud rivet]

Lmao yeah

[uncut socket]

Also

[loud rivet]

Lmaooo

[fringe needle]

Ahh shit, well good luck then

[arctic grove]

thanks

i will also try to be offline all day long

so thats sadge

[fringe needle]

Use the studying role

[arctic grove]

na i will just like

close my laptop

and i dont have a phone

so it will work out fine

otherwise i will do ,i am dying

[uncut socket]

@opal crater I saw this and thought this was funny

[opal crater]

this is basically what my prof does haha

[deep dirge]

When I try to do this in my reports, I end up doing 1+2 = 4. Then lose all the marks I secured with the flashy statements before.

[old star]

😂

[neat frost]

F(x) IS A SET

[pseudo elbow]

Someone here who did preparatory classes

[uncut socket]

@tiny forge Woah new picture, nice cube face

[hardy vessel]

French ?

[pseudo elbow]

yeah

[tiny forge]

@hollow sundial invited me to his cult

[hardy vessel]

Je connais un gars qui a fait prépa sur ce discord ouais, cherche Tuong (dans la barre de recherches par ex) et tu peux essayer de discuter avec lui en DM

Il y en a certainement plein d'autres, mais c'est lui que je connais le mieux (et je sais qu'il est encore sur discord)

[pseudo elbow]

Merci beaucoup

[deep dirge]

Je ne savais pas que nous avions le français ici.

[junior stump]

I fucking like toby fox

[lunar spear]

I don't

tiiäks

miltse

kuuluu

tuntuu

painaa

kaasuu

alla 500 hevosta

[ancient flame]

so I have this equation $$\Delta f(c)=2r\sin\left(\frac2r\Delta c\right)$$ and I was thinking of doing a funny and turning this into $$df(c)=2r\sin\left(\frac2rdc\right)$$ as $\Delta c\to0$. notice that $dc$ is inside the argument of sine. does this make it challenging to do calculus related stuff with this equation?

[fathom swallow]

gmod

[sleek wing]

I'm scared

wait doesn't this just turn into 2rc

[ancient flame]

what

go does sin(2/r*dc)=c?

[sleek wing]

wait wait wait

[ancient flame]

small angle approx?

[sleek wing]

yeah

just c

I forgor

yeah small angle approx

[ancient flame]

ohhhh

icic

damn that's a boring result

I was hoping there would be some omg insane cool trick

but I guess not

L

[sleek wing]

L

[cold needle]

L

[lunar spear]

Insane cool trick and math

cant be

[deep dirge]

Maths is an insanely cool trick.

[jovial ember]

CHMMMMM OOOONKEEEYYYYY

[deep mango]

🐒

[vapid sentinel]

I want to take A level statistics, should I go for edexcel, OCR, AQA, CIE etc?
I am confused
Please help

[plucky coral]

I’m here now discussion 1 is talking about super complicated math things that hurt my brain just looking at

[graceful mist]

That always happens to me whenever math talk happens

[plucky coral]

I discovered the most useful thing I’ve discovered in the past 3 years

[ashen pike]

i do edexcel and thats quite good

[graceful mist]

What did you discover?

[neat lintel]

Guys I have a question about the earth and trig.

So, context first : somebody asked a question on YouTube about blender : “could you use math and physics to simulate what would happen if you put a sunset on a flat earth?”

And basically I answered this way : “you won’t be able to tell the difference, because in trigonometry you basically learn that every circle is just a bunch of tiny tiny tiny diagonal lines that are lined up and they are so small that you end up getting a round object once the cycle is complete or even does a rotation of 90 degrees.

With that in mind, the earth is massive. Think of it as a massive sphere. And the sphere is mostly comprised of tiny tiny flat surfaces at the top.

So, when you see the sun you ultimately experience a flat surface. Because you are tinier than the flat surface and you cannot perceive the roundness of the planet itself. “

Am I on the mark?

Or am I wrong? If I’m wrong, help me fix my understanding?

[surreal sapphire]

a circle isnt a bunch of lines

its hard to observe the curvature on earth with the eye but not impossible

you can observe it among other things by looking at a clear sunset (or sunrise)

by studying the shape of the reflection on the water

that being said, its very subtle

[neat lintel]

Ahhh, so my understanding of trig needs work? Or is trig just not applicable to understanding the curvature of the earth?

Also, are you SURE a circle isn’t a bunch of lines? Because when you go down to atomic level size, everything looks like a block or a brick. Flat and non curvy. You know?

[surreal sapphire]

does it?

[neat lintel]

Hmmm….

[surreal sapphire]

i dont know how the real world looks lol

[neat lintel]

Well, yes? At least that’s what chemistry taught me.

[surreal sapphire]

but a mathematical circle is not just a bunch of lines

[neat lintel]

Hrrrnnnh…..

Well, you’re a graduate so I guess I’m wrong.

Difference in expertise.

[surreal sapphire]

also when it comes to flat earth models

im not sure how they look either

but they need to explain sunsets and sunrises some way

so i assume they would indeed look a lot different from what we see

and you can probably use this to debunk those

[neat lintel]

I’ll pull up Daz or Blender one time this week and see if I can draw something up.

[surreal sapphire]

you are correct in that its generally hard to observe the earths curvature directly by eye

[neat lintel]

Really? Woot!

[surreal sapphire]

they easiest way is probably ships on a clear day

you can see that the body of the ship disappears first and the "mast" remains visible

but this requires a) flat ocean) and b) clear weather

[lunar spear]

the earth is flat

the other ships are just heavier

[brittle socket]

Ah yes so the ship on the rightmost is sinking

[surreal sapphire]

you can see if a ship doesnt carry any cargo, then this can happen

[brittle socket]

[sleek wagon]

lag

[old star]

I've heart of a model in which the sun and the moon is flying in a circle above the flat earth.

[old star]

But they're obviously wrong as it does not make any sense why you could not see the sun from all over the world all the time

[gaunt spoke]

What game is that?

[neat lintel]

It’s Morbin’ time…..

[bright locust]

Ah yes

Proof that the earth is round(?)

[junior stump]

that's undertale osts

[plucky coral]

A discovery

[junior stump]

💀

imo being painful as always

[leaden sage]

but it is "locally euclidean" isnt it?

[neat lintel]

Yes

[leaden sage]

iirc there are some weird optical effects that can happen with sunsets

[sick kite]

isn't the triangle inequality a formalisation of the idea that the distance of a point from a -> b directly \leq a->c->b ?

[leaden sage]

yes

[graceful mist]

A discovery was discovered by discovering it. Thus the truth was uncovered

[plucky coral]

It was a curriculum map telling me exactly what I need to learn to skip grade 9 math

American education system has really failed people hasn’t it

[graceful mist]

Manya

[graceful mist]

I'm more scared for the people who answered idk

Of 200k votes. 20k people don't know

[plucky coral]

140k think it’s 12

[lunar spear]

Im more impressed with 31

[sonic sentinel]

I don't find this that big of a deal, mainly because the multiplication operator is often represented by concatenation (which is less ambiguous), the order of operations is easy to relearn, and parenthesis can always be added if the person communicating the math doesn't remember the order of operations

[lunar spear]

atleast they can do 6*2 ig

[sonic sentinel]

Also the error here is not a logical one (at least I hope not!) but a problem of notation. It wouldn't be surprising if people unfamiliar with notation were more likely to make logical mistakes, but this isn't a very good way to show that an American education (or whatever system of education the people doing this survey had finished or are currently undergoing) is bad.

[leaden sage]

it has, but not for that reason. Order of operations is arbitrary

[plucky coral]

Why is it arbitrary

[bright locust]

It’s twitter that’s stupid

[plucky coral]

That’s YouTube

[ancient flame]

almost forgot I had to sign up for the draft

LMAO

I better do that doon

soon

[lunar spear]

losing student aid must suck

how much do american people even get btw

[neat lintel]

wait, there's a draft????

WHAT?!

like since when???

[velvet dagger]

Not a draft

Selective service means you sign up so that if a draft happens you're in the lottery

[ancient flame]

depends

[velvet dagger]

But with how many people volunteer for the job you're gucci

[ancient flame]

yeah

[lunar spear]

How much about

[ancient flame]

it depends on the person

it could be like $100 or maybe like $30,000

idfk

[lunar spear]

damn

[full isle]

Is it possible to realse book in someone elses name

release

[rich rapids]

how do u do 2 and 5?

[azure nymph]

What it really depends on is how much your family makes (depending on age mainly) and your school. For instance at my current school I get offered about $7k in loans per semester and no grant at my last school I got about $1200 in grants per semester and don't even know how much offered in loans

[shadow hare]

Lately I've started writing my proof exercises directly in markdown

Can this be a bad habit to get into?

Honestly it's easier and faster for me to type than to write

[wild lantern]

Why not do it in latex?

I've heard of some profs expecting submissions in latex but never personally experienced that.

[neat lintel]

i will take it a step further and say that you should do it in latex

[neat lintel]

good profs

why sadcat?

[shadow hare]

I do write latex in the middle of my .md file

if that counts

[leaden torrent]

latex is far more than a collection of aliases for common math symbols

its an entire typesetting package

[reef carbon]

my 1st year discrete math prof introduced us to latex and honestly im grateful he did

[wild lantern]

You might be able to embed actual latex in markdown nami?

[leaden torrent]

i would strongly recommend you learn it

dootdooter my point is that that isnt latex

the power of latex isnt the math characters

Word can do that

the power of latex is the typesetting

[neat lintel]

1st year intro to proofs here (for CS students) typically requires latex, you get a 0 if you don't use it

[leaden torrent]

latex's line spacing is still the best on the market

[lament flicker]

you have to write all your proofs in latex?

[neat lintel]

in that class, yes

[lament flicker]

darn

[neat lintel]

i think it's a good idea

some people have really shitty handwriting and take bad pictures

much like on this server, from time to time

[lament flicker]

yeah right

I rely a lot on arrows in my proofs to show what goes where and how

[neat lintel]

you should not do that

words are good

[lament flicker]

I'll try to do that

[shadow hare]

I agree

[neat lintel]

(at least for something like a homework solution you're handing in, the arrows are maybe not a good idea)

(for something like personal work or a lecture, i think it's not a bad idea)

[leaden torrent]

on an exam do whatever-the-fuck

as long as its readable

[neat lintel]

on exams go wild

throwback to general/algebraic topology exam where one of my problem solutions was literally just a few pictures and i got full points

[lament flicker]

lol nice

[wild lantern]

My point is it depends on how you use latex in markdown.

[lament flicker]

proof by picture

[neat lintel]

i think it was something like "give a certain covering space of this (weird space)"

[wild lantern]

It doesn't seem particularly hard to write scripts around markdown to spit out latex source files. That seems like part of the point of using those kinds of markup langs?

[neat lintel]

our midterm had "prove R^2 - {origin} is path connected" and i just made a picture

[lament flicker]

oh wow

topology proofs

I feel like I often go into too much detail when doing them

[neat lintel]

i'm the opposite lol

[surreal sapphire]

this reminds me

[neat lintel]

they feel very boring and dry a lot of the time so i try to make it as quick as possible

[surreal sapphire]

how to draw open neighbourhoods around lines

[lament flicker]

kinda true

[lament flicker]

which is probably the reason why I often get stuck

[neat lintel]

works

i think i did something like "go to the unit circle, rotate around enough, then go back out"

[lunar spear]

Ours are based on parents and living situation

[wispy pike]

Hey

Does anyone have tips on what to do during study breaks when one is in the library?

[swift sun]

lol what do you do on study breaks when you're not in the library

[wraith aurora]

take a shit

[wispy pike]

play fps games....

[wispy pike]

That is a favorite of mine!

[sick kite]

does anyone know how to get this P in TeX?

[wispy dune]

$\mathscr{P}$

[fathom swallow]

Pappa

[sick kite]

ty sir

[lunar spear]

hello pappa

[junior stump]

why are you asking to me sir

I don't know man

[ancient flame]

interesting thing that popped into my head:
for all americans, do you consider the british and australians as foreigners?
for those in the uk or australia, do you consider those from the other country & the us as foreigners?

[fervent pebble]

i do

esp brits

[ancient flame]

hmm

alright

[fervent pebble]

do you not?

[ancient flame]

in my head they're not foreigners bc they speak the same language n shit I think

maybe australians feel more foreign

bc they're kangaroo people

[fervent pebble]

my coworker agrees too

[ancient flame]

with you?

[fervent pebble]

ya

[woven whale]

not 'umerican but german

I consider austrians and swiss people as foreigners

[sleek wing]

absolutely foreign

Different countries

[ancient flame]

australian @woven whale

not austrian

[sleek wing]

Same thing

[leaden sage]

of course they're foreign, but i think there's degrees to it. With Canadians being the closest since they can pass as American, then english speaking countries with subjective rankings, then others in whatever order

[woven whale]

read my first message silly

[ancient flame]

I don't get it

[woven whale]

I'm german

[ancient flame]

oh

bruh

[woven whale]

I consider austrians and swiss people as foreigners

[woven whale]

bruh

[sleek wing]

How is that even a bruh

[woven whale]

@ancient flame can't read

[sleek wing]

bruh

[ancient flame]

ahat

what

they speak different languages

that's not the same phenomenon that im talking about

[sleek wing]

what

Moldi...

Locks...

Gmod google “national languages of Switzerland”

[ancient flame]

oh wait

they all speak the same language?

damn I didn't realize this

just did

I swear there was an austrian language

[sleek wing]

And then do the same for Austria

[ancient flame]

oh I think I was thinking of romania

wow this is actually interesting

[leaden sage]

you might also have been thinking of hungary

[sleek wing]

Getting Austria and Romania confused

That’s one way of pissing off an entire nation

[ancient flame]

they sound the same

[sleek wing]

HOW

[ancient flame]

close enough

[woven whale]

stupid

[leaden sage]

.....ia

[woven whale]

they all speak german

just on a different anger level

[ancient flame]

oof

LOL

[sleek wing]

Oh yeah sorry guys I got Tanzania and Bulgaria confused cause they both end in ia

[woven whale]

swiss people are always very angry

[ancient flame]

lol

shut up wew

leave me alone

[woven whale]

I confused south africa and south america because they both start with south a and end with rica

[ancient flame]

actually yeah sometimes I have gotten confused about those

LOL

[woven whale]

what the fuck

[leaden sage]

southern costa rica

[ancient flame]

like misreading

[sleek wing]

What the fuck

[woven whale]

lmao

[sleek wing]

Oh ok

Australia-Hungary

[woven whale]

@ancient flame you were blc staff right

[ancient flame]

yeah

[woven whale]

😭

[woven whale]

mod?

[ancient flame]

ye

[woven whale]

2019?

[sleek wing]

The year is 3 mod 2019

[ancient flame]

uh

2020 I think

or 2021

[woven whale]

do you like flair

[ancient flame]

yeah he was cool

why

[woven whale]

do you know eros

[ancient flame]

I think so

[woven whale]

oh soiree hired you

ew

[ancient flame]

ye

[hollow ginkgo]

Are coset spaces of Lie algebras (instead of groups) a thing?

[sleek wing]

You can take cosets of any sets

But more interestingly, yes, quotient algebras exist

[hollow ginkgo]

But what if the subalgebra isn’t an ideal?