serious-discussion

[little vine]

But I doubt women were breaking down the door

[ripe wasp]

exactly what a virgin would say

[swift sinew]

he was quite religious so it makes sense

[chilly coral]

Didn't Newton lose a fuckton of money gambling or sumn? Or was it the stock market? Eh, what's the difference?

[peak tide]

He stuck a bodkin in his eye for science, so there's that.

[empty stratus]

Newton was a dick.

Later in life, he worked for the Mint, ensuring that counterfeiters were hanged.

Euler, meanwhile, was a nice guy.

[peak tide]

Euler was a nice god.

[empty stratus]

If you wrote to him, telling him about your idea, and it turned out Euler had already discovered it, HE WOULD LET YOU PUBLISH AND TAKE THE CREDIT.

[chilly coral]

It's thanks to that Newton schmuck that we can't fly without "lift" and "aerodynamics"

[peak tide]

Euler's collected works spanned something like 92 volumes, he could afford to give stuff away. 😁

Much of that while blind, iirc

[empty stratus]

Yep.

[ember fog]

is it a good idea to learn latex to make my digital math notes?

[modest rune]

It is a good idea to learn latex in general

If you want to type math you should absolutely use latex

[ember fog]

oh okie I only have a vague idea of what it is so I wasn't sure, thanks!

[ember fog]

This might be beginners naivety but I just picked up mathematical proofs by chartrand and just reading about how math is written really tickles my fancy! I didn't expect this since I've been so scared of starting. Chapter 0 showed me the assumptions that were never explained to me in math class, as we've only been told that is the right thing to do when questioned. This is so cool! I'm beginning to see how efficient math is as a language for reasoning.

[devout nacelle]

[toxic schooner]

[regal coyote]

yooooo guys

just a quick question

not rlly math but how is Schrodinger's view of orbitals different from Bohr's idea or orbits?

nvm

[toxic schooner]

check out #old-network

[regal coyote]

oooohhhh cool there are other servers

thanks

[toxic schooner]

[still ferry]

Hello?

I just found out a new equation that might win me a field’s medal

[toxic schooner]

[jade crane]

Congrats

[still ferry]

u guys wanna hear it

[jade crane]

No

[still ferry]

20 = twenty

22= twenty too

therefore 20=22 QED

[toxic schooner]

#chill

[mellow bison]

why math is fun

[toxic schooner]

Holy shit i dont want to message in discussion now

[waxen lily]

even better - send 300 thousand more messages

[toxic schooner]

that will take a little time

but i will someday

[sleek wing]

You will never make it 👿 you shall fall short of your goal 😈

[toxic schooner]

why will i fall short

[surreal sapphire]

you can take smaller steps

and get to 44444 first

[toxic schooner]

true

i mean, i have nearly 60k messages now

i wish to get to 69420

😌

but it will take a while

[surreal sapphire]

i missed my 69420

[toxic schooner]

😭

u have 200 messages more than the meme number

[neat frost]

time to delete a few

[toxic schooner]

yes loch go delete a few

[surreal sapphire]

i can delete all my shitposts

and get down to a few dozen total

[dire mulch]

I can’t see my messages on mobile.

[surreal sapphire]

shyshu you cant find my messages in the #feet channel

so i actually have more

[toxic schooner]

u have access to feet as well?

yeah i cant access ur messages in feet and ivory

but still

[neat frost]

what

I want access to #feet channel D:>

[devout nacelle]

I'm closing in

[toxic schooner]

oof

only 42 messages more

nice

wait u have only 62k

oh wait u are a mod and honorable

[alpine kindle]

who has access to #feet

[deep mango]

#feet was deleted recently

but it used to only be admins I believe?

[neat frost]

nuuuuu

[toxic schooner]

yeah

[neat frost]

I want feet D:<

[toxic schooner]

[neat frost]

[neat lintel]

Slurp opinions on anime?

[neat frost]

good anime is good

bad anime is bad

anime is different than western tv, so its a nice change

[waxen lily]

hyped to see the latest aot episode

[neat frost]

but its also different than western tv, so i can find it weird sometimes

[neat lintel]

good animes dont exist

[neat frost]

like the number of gasps omg you dont need to gasp all the fckin time

like that their goto reaction

"hey your family died"
gasp
"how are you doing"
gasp
"hey there"
gasp
"he-"
gasp
"-llo"
gasp

AND ITS THE SAME ONE EVERY TIME

[waxen lily]

is it possible to graph messages over time?

[neat frost]

I SWEAR THEY MUST HAVE JUST RECORDED ONE PERSON GASP AND LITERALLY USE IT FOR EVERY ANIME

[neat lintel]

☕ 🍰

[neat frost]

eh i understand that

compared to western tv, its much less polished and fleshed out imo

[waxen lily]

the animation in anime tends to be very good though

[neat frost]

tbh no

[waxen lily]

western animation is so lazy now

[neat frost]

better than what i could do

so is anime?

my issue with western animation is that its all so similar

and so artificial (for a lack of better words)

but anime is also pretty similar, and much less technologically advanced too

[neat lintel]

Im gonna grab a cake and black cup of joe

[neat frost]

oo

i could go for some cake n coffee

[neat lintel]

You should

Give yourself a present once in a while

Dont plan on it

[neat frost]

ive had enough junk today

[neat frost]

i pamper myself too much

like i should be working rn

but instead im debating anime on a math discord

[waxen lily]

working? math is fun time

get a job

[neat frost]

i have to work on english 🤮

oh i didnt mean working on like actual work

i meant working on dumb school stuff

[waxen lily]

anyone know how i can do this?

i want to graph my dms tbh

[neat frost]

Hmmm

Like on a server that you can add bots to, you could probably make a bot for that

[waxen lily]

yeah but dms tho

[neat frost]

yeah

idk

lol

sorry

[waxen lily]

u let me down

[neat frost]

no

im

never gonna let you down

[waxen lily]

but you llgive me up

[neat frost]

Oof my teacher doesnt let us use singular they

[waxen lily]

they racism

[neat frost]

so now i have to restructure a sentence

so now i have to think

[neat frost]

eh she blames the ministry of education

but i call bs

[waxen lily]

maybe say one instead of they

one might agree it is an alternative

[neat frost]

It doesnt work in this sentence

cuz i started it with one

[waxen lily]

fuck

[deep mango]

[neat frost]

Ah i think i have a solution

[deep mango]

your teacher is stylistically deficient

[neat frost]

tbh the ministry of education is pretty slow with english

id assume because the country isnt english speaking

but still, a pain in the ass

[deep mango]

hmm

in high school i gave a talk which very viciously attacked people who said singular they was grammatically incorrect

it was a lot of fun

[neat frost]

niiiice

[deep mango]

i don't remember all the reasons why anymore

[neat frost]

Oof i changed the sentence but now i feel like the meaning is altered

[waxen lily]

i always prefered they because gender is just not that relevant to what im saying

[neat frost]

also english just needs gender neutral pronouns, independent of the LGBT community. (I dont mean to say thats not an important reason, its just not the only one)
Like singular they can help clear up ambiguities in many cases and make sentences sound smoother imo

[neat frost]

exactly

[alpine kindle]

many languages with only masc and fem noun classes have this problem even more severely

ie many romance languages

[neat frost]

yeah like my countrys language has only fem/masc pronouns (and nouns are gendered as well) so it just sounds weird a lot of times

[alpine kindle]

what language

[neat frost]

a poopy one

[alpine kindle]

[neat frost]

[alpine kindle]

what language tho

[sleek wing]

I was surprised to learn people thought singular they was grammatically incorrect - I always assumed it was

[neat frost]

if i told you youd be able to figure out in which country i live

[alpine kindle]

ok well

you're awake so you're either in the americas or europe

[toxic schooner]

probably?

idk

[neat frost]

good guess

[alpine kindle]

probably not americas

[neat frost]

you still got all of europe

all dem countries

[alpine kindle]

because french, portugese, spanish

[alpine kindle]

yeah well first of all it's not hungary, finland, turkey

[waxen lily]

im neither 😎

[alpine kindle]

because they don't have noun classes

[waxen lily]

it is past my bedtime tho

[neat frost]

,ti DETOX

[errant furnace]

India

[fathom swallow]

This user hasn't set their timezone! Ask them to set it using ,ti --set.

[neat frost]

oofa

[errant furnace]

statistically india's a p good guess

[alpine kindle]

you're not in france, spain, portugal

nor the uk

[neat frost]

why

i mean thank god not france am i right

[alpine kindle]

langs are too widely spoken

[alpine kindle]

and you said this

[neat frost]

ye

[alpine kindle]

so

not german probably either

because they have neuter

[neat frost]

german does sound like a pretty cool language tho tbh

[alpine kindle]

actually that excludes anywhere with germanic languages

[neat frost]

oh fuck

[alpine kindle]

because most of them have neuter

so that leaves italy as most likely

so far

ofc you could be in eastern europe but most slavic langs have neuter

oh maybe romania

[neat frost]

youre too close for me to comment on anything

[alpine kindle]

hol up lemme look some stuff up

[neat frost]

ohshi this be scary

[alpine kindle]

oh romanian preserves neuter

[sleek wing]

Just tell me what country you live in It’ll be fine nothing bad will happen

[alpine kindle]

so

[neat frost]

If i tell you will you release your new album today?

[alpine kindle]

italy or baltics

[neat frost]

[alpine kindle]

although

no

baltics preserve neuter

[sleek wing]

The album does not exist so I can very easily release absolutely nothing, so yes I will vacuously

Yeah it can’t be the Baltic’s they’re too Germanic

[alpine kindle]

uh

that's not why

[waxen lily]

mm vacuous truth

[neat frost]

good thing implication can be vacuously true

[sleek wing]

My guess? Lichtenstein cause why not

[alpine kindle]

no

they speak german

lol

[sleek wing]

Or san marino one of those weirdo countries

[alpine kindle]

so i think it's italy

[neat frost]

sao mario

ma ma mia

[alpine kindle]

italy makes most sense

also probably not south

[waxen lily]

i do not live in italy

[alpine kindle]

not you

slurp

[neat frost]

you live in india

[waxen lily]

nope

[neat frost]

it wasnt a question.

[waxen lily]

your statement is false

[neat frost]

no.

you live in india now.

[alpine kindle]

either northern italy or italian-speaking switzerland

[waxen lily]

im so bad at geography

[neat frost]

just because youre cool allison ill give you a hint

[neat frost]

one of those is wrong

[waxen lily]

one but not the other?

[alpine kindle]

hm

so

you say you have a bad education system

Italy

but

[neat frost]

I never said that

but i will say that now

[alpine kindle]

oh

ok

[neat frost]

i have a bad education system

[alpine kindle]

yeah you're in italy

final answer

you definitely speak italian though

[waxen lily]

will have 2 read slurp msgs in an italian accent now

[sleek wing]

slovenia :troll:

[alpine kindle]

hol up

does slovenian have neuter

[sleek wing]

Probably but I’m not sure

[alpine kindle]

yes

it does

[neat frost]

Wow

I cant believe yall care so much about where i live

[brave hollow]

my guess is USA

[alpine kindle]

haitian creole doesn't have noun classes afaik

[deep mango]

dox artistry is server culture

[alpine kindle]

I mean it's impossible to place you anywhere more specific than northern italy

[deep mango]

this is how you make 'em comfortable. then they begin to open up...

[alpine kindle]

oh i just had a thought
maybe you live in sardinia

[neat frost]

Why northern

[neat frost]

fr

[neat frost]

is that where they make all the sardines?

WHAT

lol

sardines are named after sardinia

my joke is less funny now

[alpine kindle]

Neapolitan has neuter

[neat frost]

ma ma mia

you have-a figured out my secret-a
I must now go and-a eat-a my pasta-a

[little vine]

I thought it was funny

[neat frost]

thank you

[little vine]

They make pencils in Pennsylvania

[neat frost]

what about veins?

[alpine kindle]

in Transylvania they treat trans people with blood vessel diseases

[fair mural]

no it’s funny

[neat lintel]

?

[neat frost]

Thank you

[visual zephyr]

Hi, I'm confused in how to mark the position vectors in the following question and solve them (vectors are marked in italic letters).

When a and b are two non-parallel vector to each other, the position vectors of A, B, C and D are a, b, 4a and 3b respectively. If the position vector of the bisecting of AB and CD is ma + nb, find m and n?

[neat lintel]

have you learned dot products?

Create a fractions question that includes the following elements:

• involves exactly four proper fractions in the question
• involves exactly two integers in the question
• involves at least one step that requires cancelling
• involves at least one step that requires a common denominator
• involves an answer that is a negative mixed fraction

[ancient flame]

already muted? damn

[bright hill]

what did he do?

[pale orchid]

you can try stuff like a tablet if you have one, or blue light filter on the screen if your computer/monitor has the option

but ultimately, haptics and plain old preference are important, so

[ancient flame]

no idea lol

[pale orchid]

some people will always prefer physical books

[chilly coral]

Dude was begging for help with a question in an occupied math channel

[bright hill]

bruh

did he even read #❓how-to-get-help?

[chilly coral]

He claimed he did

[coral mason]

what happens if you're muted?

[chilly coral]

Can't talk

[coral mason]

for how long?

[chilly coral]

Depends

[alpine kindle]

doubleposted

[dire mulch]

I am in the same category as you. If I will spend a significant amount with a math book, I rather get a physical copy since I learn better that way.

The flexibility to navigate through a book is a top reason I prefer physical copy. Also I am blind as a bat, so when I lose my glasses, with physical book I can still study math.

Never done it before, however it is possible.That is, I have seen someone do it.

I am not saying I don’t use online books, it just what my preferences are. My current book right now is online.

[alpine kindle]

an advantage of digital copies is that they're free

though

[dire mulch]

I wonder if places exists where you pay them to do the whole printing books stuff for you.

[sleek wing]

how... how do you think books are made

actually yeah you might get a bunch of monks to hand-scribe copies for you nevermind

[median zinc]

cough cough "free"

[alpine kindle]

if you can find genesis in a library you can get them for free

[honest veldt]

you know what they say

where there's genesis, there might be library

what im saying here is that you should visit amazon.com to purchase your textbooks (legally, with real human money)

[neat lintel]

-4 ( 1.75 + x ) =18
???

[neat frost]

Bruv stop spamming

[neat lintel]

im not lol

[neat frost]

You posted the same q in multiple channels

[ruby roost]

Can ping pong grow my calves

[bright hill]

[deep mango]

this definitely depends on how you play ping pong

[ruby roost]

Which playstyle will make my calves bigger

[jade crane]

[fair mural]

probably something that involves legs

[next spruce]

Hold the paddle with your legs and use them like that

[ruby roost]

Hope this works

[rancid walrus]

Hi

[deep mango]

Hello big floyd

[full valve]

Is there a little floyd we should be on the lookout for?

[tender tulip]

Medium Floyd is terrifying

[cold needle]

3/4 floyd

[ancient flame]

π/4 floyd

[neat lintel]

i made an uninteresting and biased set of polls

[swift sinew]

That is indeed uninteresting and biased

[neat lintel]

if you look at the second most picked choices you can see how it's close to the correct set of answers

i will make another but I'll fix it and instead of using numbers I'll pick shapes/abstract concepts

[neat lintel]

second most picked: 9, 7, 5
correct set: 9, 6, 5

the majority pick: 1, 3, 7

[ancient flame]

this is such a bad issue that I experience lmao

I wanna learn physics and coding but I don't even make enough time to learn math

[static loom]

I say go for it, if you find it's not working out for you then you'll know, and can adjust to focusing on juggling fewer things

[surreal sapphire]

i can't help you, but this is better asked in #advanced-lounge where it will reach a better audience and is less likely to be buried

[sick kite]

How useful would a university summer school be? Is that even a thing?

[leaden torrent]

almost all unis offer summer courses

idk what you mean by summer school

[sick kite]

yeah I guess summer course is probably more accurate

Though we do call it a summer school here in the uk

[surreal sapphire]

summer school here is like a seminar with a specific topic and some invited speakers

during the lecture free time in summer

its nice

[sick kite]

whhat is the level of topics covered?

[surreal sapphire]

such that the average grad student can get something from the talks

or an undergrad with interest in the specific thing

[sick kite]

so its not for people like myself

or are there other ones for 16-18 year olds

[surreal sapphire]

age doesnt really matter, but there generally are prerequisites

if you are in the uk, i have no idea though, so 🤷

[dawn bridge]

u mean lectures or entire courses you can get credit for

[leaden torrent]

courses

[dawn bridge]

i just looked at mine and there's literally nothing for me in the summer, there's no compsci and the maths courses are only the rly basic ones for non maths students

but there are courses i guess, just nothing relevant for me

[modest rune]

They are usually designed as like

ways to get course credits out of the way

not replacements for other quarters

[tiny marten]

Yeah a lot of people in less mathematical sciences take some math classes over summer

Or geneds (in America)

Or maybe like a chemistry class

[deft narwhal]

You ever just see a student’s work and feel like you absolutely failed them despite the fact that the material they didn’t get was meant to be covered in prerequisite courses

[median zinc]

You don't really get to choose your students, so the best thing you can do is to try to value-add to their lives. This is on the additional constraint that you teach to a given syllabus

[meager sonnet]

I really like your name seastar

[tiny marten]

same

also i have had students i taught and tutored regularly fail a class, it does feel bad

they seemed to fail to put it together outside of our time together

[opal sleet]

Where can I find my Putnam score for the test I took a few months ago?

[deep mango]

they should be emailed to you when they're released?

[manic coyote]

@hollow sundial apologies for this second question but what would be the equation for the thing you were talking about?

a wire around something

[hollow sundial]

i was thinking this https://farside.ph.utexas.edu/teaching/316/lectures/node26.html

but it had nothing to do with your problem

[manic coyote]

i think i need that for my next problem so thank you lol

[hollow sundial]

haha

[vast surge]

Putnam scores came out today. I got 4 points from question A1.

[ancient flame]

gg!

[neon merlin]

Anyone know what steps or stuff you have to learn before starting number theory research maths

[sleek wing]

learning number theory might be a good start before doing research in it

[neon merlin]

It's very difficult understanding how to do this like what order if someine had like a list of books or content to cover for all number theory it would be si much easier

[sick burrow]

Just learn math

Go to grad school

Get a PhD

Do research

That question reads like you're trying to do research without going through the formal schooling first

Which is how cranks are made and research isn't done

[ancient flame]

I prefer to go in the opposite order

[bronze pelican]

Its impossible to give a list that covers all of number theory

Well, technically, the number of all textbooks is finite, so that is a valid list

Bounded from above by the number of particles in the observable universe

[quartz sigil]

hey all, I've recently made the decision to pursue a math phd focusing in dynamical systems. I just wanted to ask if there is some way to filter through schools more easily that are focused on what i want to study. i'm first gen so i don't know a lot of resources

[bronze pelican]

Bruh i already forgot how to apply to grad school

And i applied a bit over a year ago

[light needle]

wrong totodile is second gen not first gen! (sorry for bad joke lol)

[quartz sigil]

lollll

def ergodic or teichmuller theory

i really appreciate this

[toxic schooner]

[hollow ginkgo]

Are you sure Antoni is the Totodile and not the Lotad?

[mellow moon]

I wonder If there is more people that wants to become "researchers on their own" generally turn themselves toward Number Theory because it seems "more accessible" (which is literally a false impression)

[sick burrow]

imagine thinking number theory is accessible

I literally know zero number theory beyond basic congruence stuff and I have never thought of it as approachable

[serene parrot]

what areas even are "accessbile"

[sick burrow]

like take the big open problems in nt

I literally have no fucking clue how I'd approach twin primes

or 3x+1

I mean granted no one has any clue for the latter

[hollow ginkgo]

AFAIK, inaccessible cardinals turn up only rarely in number theory.

[mellow moon]

I did thing up to introduction to elliptic curve on finite fields, and some analytic theory, I neither didn't have a single clue of it

[junior flicker]

Week by week works well for me. I did a lot of learning coding in high school and gap years so it might differ. But usually at the end of the week i can have finished my math work and have time and most importantly mental energy to reframe and concentrate on the entirely different problems a programmer faces. I also did an econometrics course over the summer and it was a nice change of pace outside of normal class hours but the content was mostly focused around some elementary statistics, statistical programming and a little bit of economics. For that course in particular I would not stress learning it quickly as you might as well wait for some later mathematical finance / actuarian courses to become available as the methods used there are far more rigorous and practical.

[neat lintel]

show that sum of reciprocal of primes diverges

that is a lot of words

[mellow moon]

That's why I hate "recreative maths" and on YouTube video on such kind of problems (3x+1, "1+2+...+n+... =-1/12" (which is moreover NOT the Riemann hypothesis)), those seem easy to understand to profane people. Those videos are literally a factory that built a lot of cranks.

I want to beat the shit out them all

[neat lintel]

lmao

[sick burrow]

I mean I think videos on 3x+1 are fine just as long as they emphasize that professional mathematicians have no fucking clue how to approach it so you, the viewer, should not even try

[mellow moon]

They generally just mentioned "the problem is unsolved nowadays"

[sick burrow]

like it's genuinely cool that a problem that simple to state has given math's greatest minds so much trouble, but anything that would give the viewer the impression that it's worth their time to attempt is stupid

I feel like the essential thing to mention is that computers have checked all values up to [whatever absurdly high number they're on now]

[neat lintel]

fermat primes, mhmm'

[sick burrow]

the "approachable" part of 3x+1 is you can write out examples easily, but once you know that won't get you anywhere there's no obvious next step

like if you think you're going to come up with some elegant proof by contradiction that has eluded the best of the best then you're insane

[serene parrot]

should not even try is a bit harsh imo. people just need to actually* understand the conjecture in its most precise statement and be able to reason with the proper logic and language

such big problems can be great motivation for learning tons of other topics

[sick burrow]

also as a semi-related side note, apparently the subreddit r/numbertheory basically just exists as a place for r/math to send the cranks to

what related math do you learn off of 3x+1?

also is the precise statement hard to understand?

[serene parrot]

not necessarily

[sick burrow]

it's just $\exists n \not \exists i f^i(n) = 1$

[fathom swallow]

Ninja (real)

[sick burrow]

or rather the negation of that

or am I wrong

[serene parrot]

idk about this example since i havent studied it, but i meant that people can further learn about topics that are applied when people approach problems using their intuition or observed patterns

that is, if they dont have formal training already

[sick burrow]

fair

[serene parrot]

some might check out existing papers on approaches to problems

but this is usually inaccessible lol

[sick burrow]

I have just realized something

the proper statement of incompleteness requires a solid understanding of logic

and is thus inaccessible to most people

this no doubt motivates some of them to study logic

thus do we not have a double meaning of inaccessibles creating models of ZFC

(this joke almost certainly could be executed better)

[visual hatch]

Yeah

[sterile hare]

who can explain how dutis works

to a high schooler

[simple raven]

really depends of what you're interested in, number theory is a huge field
If you don't have a precise idea, I would say that first you need to be comfortable in topology, abstract algebra, complex analysis and basic number theory
after that you can specialise in analytic number theory, L-functions, galois representations, elliptic curves, arithmetic geometry (which uses algebraic geometry and commutative algebra), modular forms, automorphic forms (which use representation theory), p-adic geometry, abelian varieties, arithmetical dynamical systems, representations of the étale fundamental group, computational and effective number theory, cryptography, …

[neon merlin]

Can u

I dk

Dm

[simple raven]

Yes if you wish

[rotund steppe]

Why does my prof use 2 different notations for derivative... i hate it

sometimes it's a dot above a letter, other times it's the ' prime

[sly vale]

cause there's like 4

[rotund steppe]

in the same line

[honest veldt]

the dot 🤢

[ripe wasp]

the dot is cool

it looks nice tbh

$\dot{x}$

[fathom swallow]

sean

[sly vale]

dot is literally exclusively for time derivatives tho

[serene parrot]

says who

[ancient flame]

says most people

hence why it is a convention

[upper patrol]

why on earth do we use laplace transform over fourier transform when doing ODEs?

$\mathfrak{L}{f^{(n)}}$ is an ugly expression and the inverse laplace is so impractical that people just use tables

$\mathfrak{F}{f^{(n)}}=(2\pi i\zeta)^n\mathfrak{F}{f}$ and the inverse fourier is just as easy as the actual fourier

[fathom swallow]

A Fellow Human

[vivid halo]

the Fourier transform and Laplace transform are the same up to Wick rotation, so in some sense these approaches are equivalent

[upper patrol]

but why do we even bother with laplace transform in the first place?

it seems needlessly difficult to use comparared to fourier

[vivid halo]

iirc Laplace has somewhat better properties with respect to turning convolution into multiplication for commonly encountered linear ODEs

I agree that Fourier is somehow more conceptually natural

that being said there are some ways in which these aren't really equivalent

one reason why Laplace is preferable to Fourier for ODEs is that the Laplace transform of a distribution is generally well behaved, while this isn't true for Fourier

there are contexts where you really want to consider distributions here, for instance when considering Green's functions

[upper patrol]

"distribution" as in dirac delta kinda stuff?

[vivid halo]

yeah exactly

[upper patrol]

those can be solutions to ODEs?

[vivid halo]

I mean more like, considering equations like Du(x)=δ(x) where D is some differential operator and δ is some Dirac delta distribution

solutions to differential equations like this are Green's functions

[upper patrol]

i dont think i'll be seeing those anytime soon, but that's an interesting point

[vivid halo]

the reason for considering this is like

if you can produce solutions to Du(x)=δ(x) for any delta distribution

then you can produce solutions to Du(x)=f(x) in general

since you can write any function f as a sort of convolution of distributions like this

[upper patrol]

but fourier transform cant do that

[upper patrol]

wait what
have a link?

[vivid halo]

maybe this is a bad example since Fourier transform behaves nicely in this example

but just generally if you run into distributions

Laplace might be better behaved

[vivid halo]

https://en.wikipedia.org/wiki/Malgrange–Ehrenpreis_theorem

I lied a little bit, you need f to be a compactly supported distribution in general

[upper patrol]

(what's a compact support)

man i really need to learn real anal -> topology

[fading pulsar]

doesn't compact support just mean that the function vanishes where domain isn't compact?

[vivid halo]

compact support means there's some compact subset of the domain where the function vanishes outside that subset

[upper patrol]

and what's a compact set

[devout nacelle]

A set X is compact if every open cover of X has a finite subcover.

[vivid halo]

since we're likely working in R^n it just means that like

the set is contained in some ball of finite diameter

[upper patrol]

makes sense

[hidden violet]

Are people on here willing to literally just explain something like polinomial division and it's derivation to me? Like i could literally just open a help channel and ask that?

[sick burrow]

I'd say for more conceptual stuff like that just ask in the discussion channels

[hidden violet]

Cool👍

Well, what is the derivation of the polinomial division?

[serene parrot]

from division algorithm over polynomial rings

or def of polynomial reducibility i guess

[cobalt star]

doubt this would be helpful cause op is probably in hs

[swift sinew]

My wife made a bunch of Edd cutouts

[valid crater]

Amongus

[fair mural]

@pale orchid

[pale orchid]

😌

[primal crater]

[neat lintel]

a personality test asked me if I need logical consistency in life, what did he mean by that?

[sick burrow]

It means the test is bad

[deep mango]

he?! 🤨

[neat frost]

the test has a gender, is there an issue with that?

[deep mango]

True

[wise geyser]

LOLLLLLL.

[odd narwhal]

What does this mean

[neat frost]

Local and global obviously

[deep mango]

where'd you find this picture of my grad apps statement of purpose

[static loom]

I believe those are the Dreamcast reiki symbols

[deep mango]

ok the sullies i get. but the bleaks?

my SOP did pretty damn well thank you very much

[quick pasture]

Can someone help wit stats

[fathom tendon]

Bruh sometimes my brain constantly thinking about math can be so tiring

Cus like I want to relax and then my brain just starts doing math

And I’m like aaaaaaa

[neat lintel]

1st world problems 😔

[ebon steppe]

bro bout to fail my math test

[neat lintel]

noooo common you can clutch

[fathom tendon]

What math subject?

[ebon steppe]

algebra

[rotund steppe]

you are too smart obviously

why else would you be thinking of math

[swift sinew]

My bleak was an acknowledgment that you might very well have been talking about my upcoming SOP

[deep mango]

lol

[gray loom]

@vast cipher @fading hull That's the course I'm attempting to do rn lol

Stats

Sometimes it's easy to grasp

Other times are

https://tenor.com/view/spongebob-patrick-brain-dead-drool-bored-gif-7233020

[fading hull]

Stats is not hard if you think more about the underlying concepts

[vast cipher]

stats is always hard

[fading hull]

It takes a bit more effort but try to understand why the formula works instead of just memorizing it

[vast cipher]

u gotta like

i mean idk if im the person to be giving advice

ive done well in my classes though

[fading hull]

Like take for instance the formula for variance

Why is it 1/(n-1) in a sample

But 1/n in the population??

[vast cipher]

thats insane to ask someone who isnt like

i mean in intro classes

unless they teach bias in intro classes now

[fading hull]

Well the intuitive explanation is that any sample chosen will not be as extreme as the population as a whole

So any attempt to calculate the variance from the sample will ALWAYS be less than or equal to the population variance

I don't remember the explicit proof tho

[gray loom]

It also sucks when the questions are just

Worded poorly

I don't actually understand them

[fading hull]

Give an example if you want

I can walk you through the "translation" if you will

[neat lintel]

Do I need to learn PDE before taking Differential Analysis? I look up on the DA Syllabus, it recommends or refer PDE books. So I am quite confused.

[neat lintel]

Yeah. Or when Theres a minor difference.

Stats equations? Ez
Stats wording? Please don't do this to me

[neat lintel]

I hate the wording. Understand things and remembering isn't too difficult, it's the wording that always gets me

Can I dm you? If thats okay?

[cyan goblet]

@compact tartan what’s the difference between a holonomic system and a holonomic constraint

do holonomic constraints just define holonomic systems

[terse flax]

q_k=3N-q_b general coordinates for n_b holonomic equations

[neat lintel]

I have been collecting course subjects from different universities. Since MIT have public syllabus as well I collect it also. The reason why I am doing this is because I would like to make a flow chart (or map of mathematics) as the subject progresses. Different universities applies different term per subject. So I am curious to what is "Differential Analysis", but the textbooks are about PDE.

Same either. I ain't a Math Major, just had an interest in doing this so. They don't have introduction about it but it is stated that the topics include fundamental solutions for elliptic; hyperbolic and parabolic differential operators; method of characteristics; review of Lebesgue integration; distributions; fourier transform; homogeneous distributions; asymptotic methods.

[deep mango]

this sounds like a PDE course

i wouldn't worry about knowing PDEs beforehand

it seems to cover the introductory material

[cyan goblet]

is that the constraint

[placid lynx]

t!rep @drifting egret

[blissful sparrow]

Bremperor has given @drifting egret a reputation point!

[placid lynx]

i forgot to give u a rep yesterday

[crimson scaffold]

What is a mathematical vignette? I'm supposed to write a mathematical vignette about the 17 equations that changed the world but I don't know what mathematical vignette is.

[sick burrow]

no clue either

[lethal tree]

if anyone is a pro at integration pls look at #help-17

[swift sinew]

This. But about math

[crimson scaffold]

Ohhhhhh okay :) I didn't even know what a vignette is in the first place. Thanks!

[neat lintel]

hello, any programmers out there who's played with mathjs before? i need help parsing the functions!

[strong light]

random algebra questions are just luck with manipulations change my mind

[sonic sentinel]

pattern recognition

more tools you know and more problems you've done and better at recognizing patterns you are gets you faster

[mint patio]

Just wait until you see analysis...

[mint patio]

But I guess this applies to that too lol

It really is pattern recognition

[errant furnace]

[blazing pawn]

id say memes go in #chill but frankly this is weird enough that I dont think it belongs there either

[dire mulch]

That could have been made into a great book.

[frozen merlin]

very short book

[signal crescent]

do I need to know differential equations as a prerequisite for a lot of advanced math topics? I'm thinking about dropping my diff EQ course because I'm realizing it's just absolutely not the type of course I'm interested in taking, but are the topics learned in the class used often in future math courses (aside from the obvious PDEs)

[sick burrow]

I think it depends on what you go into

I've yet to touch diff EQs in my 3 years as an undergrad so far

[coarse grotto]

It greatly depends, diffeqs is something I encounter regularly, but it may not matter to some people not looking in that direction. Like, if you are an applied math or engineering major, you might find yourself needing diffeqs

[charred mortar]

Yeah if you end up doing applied math it can be a very important topic, but for more pure math you may not need it

[signal crescent]

im def planning on doing into pure math, i really dislike doing applications in the courses ive taken so far

i think that topology and differential geometry look the most interesting to me from what ive seen

[deep mango]

[signal crescent]

lol whats wrong with those ??

oop

[deep mango]

sorry, just finding a screenshot of my diff geo hw 🙃

ugh that's such low quality

sorry one sec

[signal crescent]

lmaoo

[deep mango]

there we go, fixed

[neat lintel]

[signal crescent]

fuq lol

[deep mango]

it's fun but like

ok

i also purposely selected particularly bad problems

[signal crescent]

ok yeah that's fair

[deep mango]

some of these are so yummy

i'm looking for a normal one

[signal crescent]

i guess what I really like so far from what ive done in my major is how elegant and geometric my vector calculus and linear algebra courses have been

and ive heard differential geometry is the next natural step to take after vector calc (with the right prerequisites out of the way)

[deep mango]

this one is super cute

[alpine kindle]

categories

[signal crescent]

ngl that looks awesome

[neat lintel]

baby's first de rham cohomology

[deep mango]

yeah what i am posting is from a modern differential geometry course, not from a classical differential geometry course (differential geometry of curves and surfaces)

the latter will be a little less crazy

even if you're doing an undergrad level course on differentiable manifolds usually it will be a bit more tame than these crazy problems

but they're also fun

and they're not super hard, just a lot of things to do

[signal crescent]

that sounds pretty decent

i dont think my uni offers an undergrad differential geometry course though

[deep mango]

ah i see

then you may have to enjoy the sort of thing i'm posting

i'm actually doing a similar hw right now haha

[signal crescent]

oooof

[deep mango]

although this problem that i just finished was more chill:

[signal crescent]

the equations are very nice to look at tbh

[deep mango]

they really are

are you aware of the einstein convention?

[alpine kindle]

lots of funny triangles

[signal crescent]

im not

[deep mango]

in any of these formulas, any time you see an index appearing both on top and on bottom, it means that you're supposed to sum over it from 1 to d (the dimension)

[signal crescent]

oh damn

[deep mango]

so in my last formula, l appears in both the top and bottom on the right hand side

(bottom of gamma once, top of B once, and then vice versa in the next term)

this means that i actually am supposed to sum over l

this is a great convention even for linear algebra

if you write your matrix $A$ as $A^k_\ell$, then we can write matrix-vector multiplication as $w^k = A^k_\ell v^\ell$ where $w = (w^1, \dots, w^d)$ and $v = (v^1, \dots, v^d)$

[fathom swallow]

ryc

[deep mango]

similarly, matrix-matrix multiplication is $C^i_j = A^i_k B^k_j$

[fathom swallow]

ryc

[deep mango]

super convenient

everything just matches up and looks very pretty if you drop the sums

so this is happening constantly in all the things i sent

[neat lintel]

you cry

[deep mango]

if you're using a space where you want to separate out one of the coordinates, usually you don't call it x^d

[neat lintel]

lee uses greek letters to mean a sum from 1 to n - 1 sometimes

it comes up in some later parts of the book

[sleek wing]

mfw I actually managed to follow this

[velvet dagger]

Yeah diffgeo notation is so bad they have to drop sums just to make it... Not even tolerable tbh, by dropping symbols and praying

[light needle]

dami coping cause he needs symbols to guide him

[ripe wasp]

differential geometry looks so cool

what r the prerequisites?

is it like topology, analysis, good foundation in linalg

bc ive seen people say u can get by with just a bit of analysis and linalg

but then some others say like u need a strong knowledge of topology or whatever

i heard tensor calc and differential forms have like a lot of applications in physics

[deep mango]

for studying manifolds, this is what you need

[deep mango]

this is fine for studying differential geometry of curves and surfaces

e.g. do carmo's book

[ripe wasp]

i see

[deep mango]

you would study manifolds in Lee's smooth manifolds and Riemannian manifolds books

or in Tu's books

as examples

[ripe wasp]

what about books like this one?

[deep mango]

basically, the curves and surfaces style is very classical, things are embedded in R^3, you study gauss curvature, etc

[ripe wasp]

i just found it on a reddit thread and they said it was good

so basically here, modern diffgeo is like manifolds, and classical diffgeo is curves and surfaces?

[deep mango]

the manifolds and tensors style of things tends to be more modern, things aren't usually embedded automatically, you have to deal with more abstract objects like dual vector spaces and topological ideas like compactness / connectedness / orientability a lot, etc

yes

this book is probably more modern

[last oxide]

I recall doing this before

but not in this language at all

[velvet dagger]

John coping because he can't handle symbols

[wooden flax]

shots fired

[stable ginkgo]

Hi i decided to read a cs paper

Its good but hes making 30 citations every paragraph

[ancient flame]

source: python

[stable ginkgo]

Lol what

Im reading hyperloglog

Cuz the name is cool

Ive never read from an actual paper before

[toxic schooner]

doesnt seem like too much to do

maybe i can do diff geo soon

[jade crane]

dont do it

it's not good for your soul

im drowning in notation rn

not even concepts

literally just notation

like wtf

who thought that this would be a good idea

[errant furnace]

You did

[toxic schooner]

[toxic schooner]

i will have to try it for myself

to see how bad it is

drowning in notation

[deep mango]

flex moment

it's not just notation

there's a lot of pictures behind the notation

[toxic schooner]

i definitely am not in a position to flex :lmao:

[toxic schooner]

[waxen wyvern]

at what point does one go from a layperson to a mathematician? I ask this as someone who gets kinda excited by the analysis side of math, like doing derivatives or even just simple algebra. The "mathematician" side of math, with set theory and group theory and all of that is almost unbearably boring and it's so grueling to learn, and yet surprise surprise every hour spent trying to wrap my brain around these topics makes not just the analytical side of math easier, it makes thinking about other problems in a more abstract way more approachable and doable. having this experience over the past few months has left me pondering that question pretty often: am I a student? am I a mathematician? I still feel like a mathematical layperson more than anything else though

[surreal sapphire]

it depends on your definition of mathematician

[waxen wyvern]

that's kinda why I ask; as a layperson my answer would be that "a mathematician is someone who uses math at work". as a student, my definition is something more like "a mathematician is someone who uses math to solve problems"

[surreal sapphire]

then its up to you who you call a mathematician

i dont think you need this label to feel better about yourself or whatever

but if that makes you happy..

[devout nacelle]

(I'm the best mathematician regardless of the definition btw)

[toxic schooner]

(im better than manan regardless of definition btw)

[devout nacelle]

[toxic schooner]

😌

im just built different

[alpine kindle]

just a note: many people do not find algebra and set theory boring (like me and wew)

[neat lintel]

Me too

[waxen wyvern]

I do find it boring, but that's despite finally seeing why it's worth learning XD

having definitions and reasons for why math works the way it does has really helped demystify the actual learning process

before learning set theory: see a new problem, find out what the "solution" is, still feel like it's completely arbitrary
after learning set theory: see a new problem, find out why the solution is what it is, all is well

[bright hill]

Does anybody know what this "uncertainty crisis" is all about?

Or was it just made up in our philosophy curriculum

I wonder if I'm translating this correctly

[swift sinew]

If you’re talking about that in context to math, y’all might be talking about how like a century ago, some mathematicians were worried about there being a lack of a “solid foundation” for mathematics so they argued and advocated for the resolving of this by basing math fundamentally on logic.

[bright hill]

Ok so I found in the "Princeton companion to mathematics" something called "the crisis in the foundations of mathematics"

But she kept talking about how in modern mathematics we can never be sure of a mathematical statement

Like how triangles can have a combined angle greater than 180

And how 1+1 isn't always 2 (e.g. 1kg+1g)

And it all just sounded like nonsense

[sleek wing]

it's nonsense lmfao

[deep mango]

"if you don't define your terms in math... they're ill defined!"

[bright hill]

The worst thing is

I have a philosophy test tomorrow

[fast ivy]

Look up for Hilbert's Program on the Stanford Encyclopedia of Philosophy.

The SEP is always a great reference to look up if you want to have a quick overview on some topic related to philosophy.

In any case

[fast ivy]

"Hilbert's Program" might the main keyword here for you to search.

[bright hill]

Got it

Thx

[neat lintel]

Has anyone figured out how to deal with imposter syndrome?
I'm no longer very attached to feeling or thinking that I'm smart or anything like that, but it was a system shock to me to start browsing/posting on math stackexchange and find weird feelings of total inadequacy for even cracking into any part of this subject, it almost made me feel like I've never even done any math before and I am just a total newcomer if that makes any sense.
I try not to attach my identity closely to my interests, but thinking "I like/enjoy this math thing" and then discovering, or at least discovering an irrational feeling, that I haven't even ever really participated in or around math meaningfully... it's so strange and kinda hurts to be honest

[neat lintel]

Ignoring it works for me

If I have any advice or cope. Thinking about your competence doesn’t change your competence. Have self confidence in your competence

One of my professors indieectly called me stupid and isnt the nicest person, but the best way to deal with these things is direct nonaggressive confrontation. This doesnt work on math stack exchange so good luck.

It's ultimately an irrational thought and I can acknowledge that, and it's especially hard cause it's connected to a very strong feeling as well. Anyway thank you for the advice ❤️

[neat lintel]

Also that's awful! I think that is very mature of you to think that way in response

[alpine kindle]

Agrippa's trilemma states that all knowledge is either founded on either infinite regression, circularity, or unrigorous assumptions

so like

[alpine kindle]

that's what they could mean

[robust osprey]

Hey guys.could you do me a favour for my school project please and thank you. It’s quick and shouldn’t take even 2 minutes. No email required!
Link: https://docs.google.com/forms/d/e/1FAIpQLScPvnacFTbZL6W6SpQlAIOpRPl9eRo2ivDzVf9uFL2BvThVzA/viewform?usp=sf_link

[unborn trellis]

[narrow rock]

tfw mobius transformations are symmetries of your face

[potent valley]

i think this is alr a researched topic and the answer is a resounding yes

[robust osprey]

It is. can you fill out plz. Would be appreciated

[neat lintel]

Order Calculus 1, Calculus 2, Calculus 3, Linear Algebra + Differential Equations?

Can these 5 courses be selfstudied in like 5 months?

Not very in depth for a test or smth, just getting familiar with everythinng

And will doing Calc 3 and diff eq, benefit my Calc I and Calc II knowledge?

Like once you start thinking multivariable, will the single variable stuff become like very easy?

[neat lintel]

agrippa the rippa?

[neat lintel]

when her face like D_2n but her face is S_n

[robust osprey]

Wdym

[little vine]

I just accept myself for who I am. I'm not the most talented. But I love what I do. I'm not flunking, grades are pretty good. I treat it like gardening and be as disciplined as I can be about it. As I result I don't really get imposter syndrome.

[neat lintel]

silly math joke

[robust osprey]

Ah I see

[gray loom]

Anyone know what's up with b?

Like

All the tutorials and the training module tell me

I need to find the design tab

But it's not there

It doesn't exist

Usually the Mac version always has the same settings but in a different menu

Oh christ I literally just had to click on anywhere BUT the title of the table

[river linden]

I'd say yes

though you'll probably need to spend a few hours a day avg

I recommend progressively deepening your understanding if you're self studying, ie. start with 3blue1brown videos etc to build intuition (make sure you understand the stuff) then do khan academy, then (if you have time) do university problems from somewhere like mit ocw

[modest harness]

Is a minute 1 degree?

What is an arc minute

Are they interchangeable

[rose dock]

1/60 of a degree

[little vine]

team radian

represent

[fair mural]

arc minutes and arc seconds are cringe

[deep mango]

quantum hates 6-based units

why am i not surprised... 🥱

[sleek wing]

I hate all units

[deep mango]

i love units

[sleek wing]

wait I think I like units now

[deep mango]

ugh. i fucking hate units

[sleek wing]

how dare you

[little vine]

units are all right in algebra

[ancient flame]

I mildly like units

[robust osprey]

For those who haven’t done this:
Could you do me a favour for my school project please and thank you. It’s quick and shouldn’t take even 2 minutes. No email required!
Link: https://docs.google.com/forms/d/e/1FAIpQLScPvnacFTbZL6W6SpQlAIOpRPl9eRo2ivDzVf9uFL2BvThVzA/viewform?usp=sf_link

[velvet dagger]

@robust osprey do not spam

[jovial ember]

You will die nameless without ceremony

[neat lintel]

Good idea, I never really watched blue brown due to the videos being more conceptual compared to lecture and exercise focused..

I mostly do Prof. Leonard lectures, exercises in book, and finish of with filling gaps on Khan Academy and also foing exercises on there as a refreshment and "test"

So I should do bluebrown before or after learning the material?

[toxic schooner]

[lethal tree]

#help-16

[robust osprey]

My bad

[ancient flame]

is it even possible to get a phd in math without knowing latex?

like has it ever been done before?

[neat lintel]

yes, Riemann for example

[ancient flame]

surely newton sat there working on latex equations

right?

[neat lintel]

He didn't get a math phd

[ancient flame]

oh

but was he working with latex?

[neat lintel]

No

[ancient flame]

why not

tf

[devout nacelle]

Yes, although it is becoming less and less common (or so I'd hope)

[surreal sapphire]

riemann didnt have a phd?

he did write a dissertation

[ancient flame]

do y'all just not get when I troll

bruh

failed so hard

[devout nacelle]

[surreal sapphire]

in theory you can pay someone else to tex your dissertation

[ancient flame]

true

[surreal sapphire]

there are still professors who have grad students do it for them

[ancient flame]

since when were u guys mods

[ancient flame]

lazy bitches

[surreal sapphire]

not necessarily because they cant, but because it saves them time

[devout nacelle]

I think some recent math PhD dissertations at my uni have been typeset in MS Word

[ancient flame]

ewww

[devout nacelle]

They look so bad

[surreal sapphire]

i sometimes read the bachelor theses written at the institute here

dont think i ever saw one in word

[devout nacelle]

[surreal sapphire]

there is something similar for people studying teaching

they are in word more often than not i think

[devout nacelle]

Yeah hopefully things will improve soon here as well, my uni even has a mandatory class on LaTeX for math majors

[ancient flame]

damn

[devout nacelle]

I was the expert 😎

[surreal sapphire]

i wonder how people here learn tex

when i started my bachelor thesis the prof didnt mention it

and i know for a fact that many of my peers dont know tex at all

so i wonder if they just start writing in word and then get yelled at

but yeah, some short latex class seems useful

[devout nacelle]

[devout nacelle]

From the reactions I saw, some students really ended up liking it, while others are hesitant and think it's too much work

Like a beginners inertia to start using it

[surreal sapphire]

yes, its a lot of extra work for a while

and frankly for random classes you dont need to use it

but at some point you start writing stuff that you want other people to read...

[neat lintel]

I think in my uni recently for masters it is necessary to take a course on how to write math papers, it has some latex instructions I believe.

[devout nacelle]

Nice

[surreal sapphire]

we just expect students to pick up on this on their own

[devout nacelle]

Honestly a "starter pack for math majors" course won't hurt

[surreal sapphire]

i still see lots of in my seminars

[devout nacelle]

It could not only cover basic proofs and set theory lingo but also more pragmatic aspects

[surreal sapphire]

im always wondering whether to tell them

[devout nacelle]

Oh god I found some graph theory notes today

[neat lintel]

is tex actually useful irl

[devout nacelle]

And the TeX is

[surreal sapphire]

tbf i think a good video can teach latex

[neat lintel]

i mean

[surreal sapphire]

i have a good teaching video in german

[devout nacelle]

I think it can get someone started, yeah, but most of it just seems to be learn-as-you-use

[neat lintel]

@surreal sapphire ur a teacher?

[devout nacelle]

I learnt LaTeX starting from Math Stackexchange

[surreal sapphire]

and then just force students to like tex 10% of homework sheets for every class

or something like that

[neat lintel]

how i stex useful

[surreal sapphire]

no, but i do some TA work

[neat lintel]

TA?

[devout nacelle]

It is a typesetting environment and is more or less standard for publishing or presenting academic literature in maths, sciences and maybe engineering.

[surreal sapphire]

teaching assistant, yeah

[neat lintel]

ok but instead of typing it, u can just write down the paper

no use for tex there

[devout nacelle]

[surreal sapphire]

nobody will read your handwritten notes

[neat lintel]

um why?

[surreal sapphire]

because your handwriting is bad

[devout nacelle]

Handwriting is an even worse suggestion than MS Word

[neat lintel]

hwo do u know if its good or bad

[surreal sapphire]

every handwriting is bad

[neat lintel]

umm no?

[devout nacelle]

The last thing an academic would want to waste their time on is a horribly abstract research paper written in terrible handwriting hindering its understanding even more

[devout nacelle]

Ooooh boi

[neat lintel]

this is definitely not bad

[devout nacelle]

Time to pull something cursed nG sends

[neat lintel]

what?

[devout nacelle]

For starters this is extremely time consuming

[light needle]

ah yes handwritten 100 line cohomology computation

[neat lintel]

that is actually true

[surreal sapphire]

would you read a handwritten book?

[neat lintel]

u mean a manuscript?

[surreal sapphire]

i mean an actual book

[devout nacelle]

Would you write that by hand

[neat lintel]

no

[deep mango]

[neat lintel]

hello ryc

[deep mango]

second line, last character should be a 3

[devout nacelle]

[deep mango]

i think?

[neat lintel]

huh

[errant furnace]

💪

[neat lintel]

how do u knowwwww

whattt

[deep mango]

idk, pattern matching

[errant furnace]

oh yeah

[surreal sapphire]

damn you wrote it in pen and now you have to start all over

[deep mango]

look at the line after it

[devout nacelle]

ryc is an IIT graduate, you should expect no less

[neat lintel]

oh yeah

[light needle]

no loch the trick is to

use pencil

[neat lintel]

u trolled me that

[light needle]

then u just erase ez

[deep mango]

eraser marks

[errant furnace]

let me just rub my hands all over your paper

brb

[deep mango]

you'd better have a really good eraser

[devout nacelle]

Your readers should know the pain and suffering you went through

[neat lintel]

@deep mango manan trolled me that u r from iit patna

[errant furnace]

ryc indian arc?

[neat lintel]

lol

[devout nacelle]

Always has been

[neat lintel]

no he's from us

[deep mango]

he's a heartless bait master.

[neat lintel]

ur actually from us right

[deep mango]

yes i am from the US

[sleek wing]

Who’s us?

[neat lintel]

ok

[neat lintel]

bad joke

[errant furnace]

mr among

[light needle]

i just spent hrs on this problem and turns out it is trivial

[deep mango]

ughhhh

[light needle]

if just consider tangent space as curves from (-epsilon,epsilon)

[neat lintel]

which problem

[deep mango]

yep

[light needle]

i never think of this

like its always either try algebra or local coord

always forget the velocity

[deep mango]

i can't even remember where this perspective is useful

[neat lintel]

@light needle u like math, food and WHAT

[bronze pelican]

Ryc is Indian

[fair mural]

negating

[river linden]

negation, we negate 10 to get -10

[fair mural]

😎

[carmine geyser]

thx

[dry copper]

Afternoon, nerds 😎