serious-discussion

[neat frost]

Yes.

[bright hill]

Good.

[neat frost]

I have an algo test on Wednesday, this is triggering me.

[neat lintel]

what is inverse of -iota

[neat frost]

iota?

[bright hill]

[neat lintel]

you know i

[neat frost]

[neat lintel]

imagenary number

[mint canopy]

iota is not what we call it lmao

Are you asking what 1/-i is?

[neat frost]

Which inverse

[neat lintel]

we here knwo it iota

[neat lintel]

z^-1 of -i

[neat frost]

Why did you call it i in #discussion but iota here?

[mint canopy]

1/-i is i.

[neat lintel]

cuz both same

[neat lintel]

alr thx

[neat frost]

just curious

[naive chasm]

try to understand why tho

[neat frost]

Hey boytjie

[neat lintel]

people are not kind much to tell why its like that

i gotta fegure on mah own

[mint canopy]

Hey Slurp

[naive chasm]

do you want help?

[neat lintel]

figure

[neat lintel]

yeah sure

[naive chasm]

1/-i = (i * 1) / (-i * i) = i / - ( i * i ) = i / - ( -1 ) = i / 1 = i

[neat lintel]

dam

thxx

[naive chasm]

np

[bright hill]

No latex

Cringe

[neat lintel]

he helped its more then good Y-Y

[naive chasm]

i hate latex

[neat frost]

You use word?

[bright hill]

Wtf

[neat frost]

Or lyx?

[neat lintel]

[bright hill]

Using word would be based tho lmfaoo

[deep mango]

I bet he uses tex

[neat frost]

TeX is based

Ryc I have continued my work on my tex talk

I have begun covering alignment

[naive chasm]

i hate

writing math

[neat frost]

(Just for you keep in mind <3)

[naive chasm]

not in handwriting

[neat frost]

Wow

[naive chasm]

all my grad classes

get submission by hand

[neat frost]

LaTeX isn’t for math, it’s for making funny colored boxes

[naive chasm]

and that's my luck

[bright hill]

Parsing what you just said took me a sec ngl

Now my witty response:

[neat frost]

Gobble gobble

[bright hill]

CAVEMEN

CAVEMEN EVERYWHERE

[neat frost]

Go to sleep

You’ll fall asleep in lectures tomorrow dawkie wawkie

A growing boy needs lots of sleep

[bright hill]

OooOoo

Nuu

Not falling asleep in lectures!

I can't afford to do that

[neat frost]

Indeed!

[split island]

Slurp being a purist

[jovial ember]

Hi @chilly hull

[chilly hull]

hi

[jovial ember]

How’s Schroder going

[chilly hull]

good

on continuity

[jovial ember]

That’s good

Did you read any over thanksgiving break?

Or were u too busy in a food coma

[chilly hull]

food coma

[odd narwhal]

More proof that you are an inherently evil person

[long matrix]

christmas shin

[storm sage]

yay :))

[odd narwhal]

Hi shrui

[long matrix]

hat bandwagoners

[odd narwhal]

I got a free hat

I'm gonna wear ir

[vestal silo]

just got an interview invite from oxford for maths :) anyone know any places for interview type questions? i have like two weeks lol so im just trying to find loads to do (pre undergrad :) )

https://media.discordapp.net/attachments/937528941248393226/1039698472288395374/IMG_0844.gif

[flat harbor]

mow good moren

[long matrix]

hai hai !

[flat harbor]

i just need to
get through this week

[long matrix]

me every week

[rocky shuttle]

it never ends

[frail lagoon]

yo nice

[teal lion]

hi guys

[vestal solstice]

yoo good luck!

[vestal silo]

ah thanks !

[wispy plover]

@neat lintel Sorry for the ping and to bring it back, but what was it that I misunderstood? You literally denied that "things exist before you think about them". Like that's popular metaphysics stuff, I dont see how I misinterpreted you. Btw, I'm genuenly curious. (I dont intend to start a debate)

Also, I really dislike when people make assumptions about others online, when so few information is available, but I will get over it

[frozen seal]

you can't disprove that things existed prior to last thursday

[wispy plover]

(if you dont want to answer, ignore it or just say so, its ok)

[wispy plover]

ok

[eager reef]

They won’t see this, blitz has the perma studying role

[heady fog]

Does anyone know if a programmatically generated key stroke from say python would prevent my windows 10 computer from going to sleep?

The company I work at enforces a 5 minute sleep policy that I am trying to bypass

[sharp mulch]

You could try it

[proud olive]

5 min sleep policy?

[heady fog]

Yeah but it is a pain installing python modules from the work computer so I was curious if someone knew if it is a good idea before starting the process

[proud olive]

Do you guys have to sleep for at least 5 min or something?

[zealous garden]

Can't you do that in C

[cinder zephyr]

you might be able to even do it in bash

[heady fog]

Bash would be great. Do you know if there's a way to do it without any imports?

[cinder zephyr]

idk I was just guessing that Bash could do it

A quick google search seems to imply you're far from the first person who desires such a script though

[heady fog]

I did a bit of googling and the ones I have seen seem to need some dependency. I might have IO as core functionality in C so I will give that a shot

[neat lintel]

are there any math projects related to coding? Not discrete/number theory pls 😭

[split island]

What level?

[sturdy quartz]

im just going to say that there are elitist students at MIT who go to FAANG but MIT also has a very high proportion of people who are just interested in pure math who don't want to do all of that stuff

[neat lintel]

i only know multivariable calc and linear algebra

[drowsy horizon]

do MIT students glow?
and what should I do with my truck when I see them?

[neat lintel]

use the truck

[drowsy horizon]

thank you

[umbral forge]

I decided to check on the millenium problems just to try to see what they mean

Is it me or the hodge conjecture is the most incomprehensible of them

[vivid halo]

probably yeah

that or Birch and Swinnerton-Dyer

[umbral forge]

Yeah that one I don’t understand either

[vivid halo]

both of these involve a lot of heavy algebraic geometry and stuff to even state the conjectures

[umbral forge]

The others have explanations I could follow

Yeah that’s fair

Cause I check Wikipedia and see the “simple terms”

[vivid halo]

yeah this is very vague

in algebraic geometry one studies spaces defined by systems of polynomial equations

the geometry here is very "rigid" and it's very hard to deform things

[umbral forge]

So it’s not like topology I imagine

[vivid halo]

in topology the spaces that are studied are a lot less rigid

right

if you have a complex algebraic variety, so something defined as solutions to a system of complex polynomial equations, it has an underlying topological space

somehow this topological space, or invariants of it, remembers something about this algebraic variety

[umbral forge]

So you can get back to the algebraic version from the topological space?

[vivid halo]

one thing that we want to remember is the subvarieties of this algebraic variety, these are quite special among more general subspaces of the topological space

the Hodge conjecture identifies some invariants of the topological space that remember something about subvarieties

specifically you look at a certain subspace of the rational homology H^{2k}(X,Q) of X, this is some finite-dimensional vector space over the rational numbers, the claim is every class in this subspace is a linear combination of some classes that come from honest subvarieties

this sort of thing is very hard because you're sort of trying to reconstruct or remember all this rigid information starting from very limited topological information

[umbral forge]

Why only the rationals?

[vivid halo]

like if you want to write down these subvarieties, it's saying if you only know some very floppy shape you can turn this into an explicit set of polynomial equations for subvarieties, and nobody knows how to do this

[vivid halo]

the cycle classes of subvarieties define classes in rational cohomology, actually in integral cohomology

the integral version of the Hodge conjecture is false, there are explicit counterexamples that people have constructed. There are good reasons to believe weakening this a little to a statement about rational coefficients is the correct statement

[umbral forge]

Oh ok so this is the more specific version of that conjecture

[vivid halo]

there's a very closely related conjecture called the Tate conjecture, which is also about relating the structure of subvarieties to some other information coming from cohomology

but again the theme is how do you take topological information and recover arithmetic information (sets of polynomial equations), this is very hard

[umbral forge]

So the point of proving this conjecture is making the link?

It seems like a lot of the big problems are about linking fields of math

[vivid halo]

right exactly

[umbral forge]

I understand why Riemann hypothesis got famous and not this one in the millenium problems lol

[vivid halo]

Riemann Hypothesis and BSD are also both like this but with a different theme: they're about relating analytic information about L-functions to arithmetic information, in the case of RH it's about the distribution of primes, in the case of BSD it's about the distribution of solutions to polynomial equations modulo primes

again building a big bridge between pretty distinct areas

[umbral forge]

Is there an area of math that seems isolated from the rest

[vivid halo]

maybe not completely but you could probably name a pair of fields that genuinely do not interact in as many interesting ways as other fields

[umbral forge]

That’s fair

Thx for the explanation btw

Is there a video series you know for more in-depth explanation btw

I don’t have a good understanding of this in general

[vivid halo]

idk if there are many good videos on this stuff

you can definitely learn about a lot of this stuff by following wikipedia in circles

[umbral forge]

That’s true, I could go definition by definition

[proud quail]

the longer alternative is you'll gradually get more comfortable with these concepts as you progress through your math education

i suppose you're in like early undergrad or high school

[umbral forge]

I’m the equivalent of that in Quebec I think?

[proud quail]

ah the cegep thing right

[umbral forge]

I saw derivatives, integrals, complex numbers, series, sums and rn it’s linear algebra

Yeah exactly

But I look up a lot of things cause big problems sound cool

[proud quail]

yeah they definitely do sound cool, just be aware it will take a lot of time to be more comfortable with understanding these problems because of how layered everything is

[umbral forge]

Yeah I get that

I’ve read some papers and they take effort cause it’s very dense

[proud quail]

like for example before one learns algebraic geometry they usually have already gone through some introductory group and ring theory etc. for mathematical maturity

yeah papers are pretty dense

[umbral forge]

Yeah that’s abstract algebra right

[proud quail]

yep

[umbral forge]

Next step from linear

I mean we are basically seeing groups rn

[proud quail]

yeah its the natural next step

[umbral forge]

Kinda wish I had more maths, cegep is cool but it delays what I want to do lol

[proud quail]

yeah the waiting can be frustrating sometimes

if you're eager to learn more you could perhaps try reading through textbooks

[umbral forge]

Yeah I got one of my teacher to send one for number theory and advanced calculus

Well they’re more like documents

But they’re very long

[proud quail]

yeah those are probably good places to start

even for stuff you're learning right now like linear algebra, you might benefit from supplemental texts - I'd recommend Hoffman-Kunze for lin alg, you might like it

[umbral forge]

Is it the 400 page one

[proud quail]

yeah around so

its pretty comprehensive

you'll come to realize that lin alg shows up in a ton of places in higher math so its a good investment to get very comfortable with it

[umbral forge]

Isn’t the goal of linear and abstract algebra to group objects to explain properties about them

Or prove them

[proud quail]

its one of the goals, to look at the properties of algebraic objects

like one of the motivations for studying abstract algebra is that many different objects like the integers, matrices, polynomials, vector spaces etc all share similarities - and group theory studies these inherent similarities

by means of abstracting away information specific to these individual objects

[topaz sinew]

hi

[bright hill]

Ello

[topaz sinew]

what do you use math for

?

[torn willow]

Engineering

And finance

And Statistics

And physics and the sciences

And Computer Science maybe

[topaz sinew]

do i need to learn topology to find out how to counter yasuo dash e q? to become esports legend

specifically talking about him

not general

[topaz sinew]

computer science is 90% math what are you maybe ?

[torn willow]

It's the math I don't want to talk about

[topaz sinew]

?

theres only 1 math you need for it

hahahahahah

depending on the field

you only need discrete mathmathics

[torn willow]

Ok,I feel like the programming language folks are overrepresented on the internet

Compared to people who do cs in general

[topaz sinew]

duh

i use assembly language btw

[surreal sapphire]

[eager reef]

Indeed

[brittle socket]

Imagine if people put "country" as per instructed

[silver meteor]

State

[jovial ember]

Lmfao, Grass’s pfp

[brittle socket]

[wanton shoal]

Hardest problem on the test.

[long matrix]

@deep mango would u have any expertise in the area of optimisation (and some free time)
Got problems

[long matrix]

would u? waw

[rocky shuttle]

Depends on how advanced

But I wanted to bother ryc, too

[long matrix]

i think its not advanced

i posted in #computing-software the outline of the problem

[rocky shuttle]

Okay

[long matrix]

but im uhhh finding it hard to balance between

short and explaining it thoroughly

sry if its a long read

[deep mango]

Not a ton

ill look

[long matrix]

tldr, ig if you've heard of L-BFGS-B you can definitely help me

[deep mango]

I have not heard of that

[long matrix]

if not, then idk, maybe some technique in coming up with a cost function

all i've been told is come up with a smooth cost function

(but i have doubts whether truly smooth is necessary)

[rocky shuttle]

It's a quasi Newton method (usually for unconstrained optimization, but with -B, you can also have box constraints)

[long matrix]

in terms of how its programmatically implemented, is it likely to be sampling my function on a discrete grid?

ie. a function which looks smooth (but is a bunch of straight lines if u zoom in) any good?

[rocky shuttle]

It starts with an initial set of parameters and moves along a direction that reduces the cost functional

[long matrix]

right ok

so the cost function for each x, is going to look like this

https://i.imgur.com/RMdg6Ff.png

but i basically want to get away with approximating this with straight lines

like so, or something

[sharp mulch]

Off to #numerical-analysis you go

[long matrix]

oh i posted in #computing-software 👀

[rocky shuttle]

Yeah, let's switch

Kirby's helping too

[long matrix]

yh ok

[sharp mulch]

Ok well one of them

[rocky shuttle]

@deep mango can I bother you now?

[deep mango]

i'm eating apple pie

[rocky shuttle]

delicious

[deep mango]

what do you want to bother me about

[river moon]

$\sum_i e^{a_i^Tx+b_i}$ is a good test function

[fathom swallow]

Transparent_Elemental

[rocky shuttle]

So, I think this is the correct formulation for the Biot-Savart law: Given a divergence-free vector field (B\colon\mathbb{R}^3\to\mathbb{R}^3) with (\lim_{|x|\to\infty}B(x)|x|=0), the formula [B(x)=\int_{\mathbb{R}^3}\nabla_x{G}(x,y)\times J(y),dy=-\frac{1}{4\pi}\int_{\mathbb{R}^3}\frac{(x-y)}{|x-y|^3}\times J(y),dy] holds, where (G(x,y)=1/(4\pi|x-y|)) is the fundamental solution to the Poisson equation and (J(y)=(\nabla\times B)(y)).

[fathom swallow]

Zanarkand

[deep mango]

yes

[rocky shuttle]

From the assumption (\nabla\cdot B=0), it follows that there exists a vector potential (A\colon\mathbb{R}^3\to\mathbb{R}^3) such that (B=\nabla\times A).
We choose (A) such that (\nabla\cdot A=0) holds (transverse gauge), which is possible by the Helmholtz decomposition. (This is the part that confused me most when I tried to derive the above formula.)
For this vector potential, we have by the vector triple product that [J=\nabla\times B=\nabla\times(\nabla\times A)=\nabla(\nabla\cdot A)-(\nabla\cdot\nabla)A=-\Delta{A}.]
The solution is given by [A(x)=\int_{\mathbb{R}^3}G(x,y)J(y),dy.]
Thus [B(x)=(\nabla\times A)(x)=\int_{\mathbb{R}^3}
\begin{pmatrix}
\partial_{x_2}{G}(x,y)J_3(y)-\partial_{x_3}(x,y)J_2(y)\
\partial_{x_3}{G}(x,y)J_1(y)-\partial_{x_1}(x,y)J_3(y)\
\partial_{x_1}{G}(x,y)J_2(y)-\partial_{x_2}(x,y)J_1(y)\
\end{pmatrix}
,dy=\int_{\mathbb{R}^3}\nabla_x{G}(x,y)\times J(y),dy.]

[fathom swallow]

Zanarkand

[rocky shuttle]

It's not exactly what you posted in #chill

[deep mango]

what's different about it

[deep mango]

ok i left out decay conditions

[rocky shuttle]

no

\omega is B and u is A in my formulation

[deep mango]

wat

[rocky shuttle]

I expressed B as the cross product convolution of the gradient of the fundamental solution with the curl of B

[deep mango]

yes

sounds like B is u

[rocky shuttle]

Ahh

\omega is then J

[deep mango]

i agree that you can use a stream function to prove it though

yea

[rocky shuttle]

Okay, then it's the same

[sharp mulch]

Vorticity

[rocky shuttle]

I thought u was the vector potential

[deep mango]

Thanks for figuring it out though

your proof makes sense

well

[rocky shuttle]

[sharp mulch]

There are many biot-savart laws in many places

[deep mango]

idk how the end works out

i guess it's just nabla G x J

[neat lintel]

hi

[deep mango]

cuz product rule for curl is like

[rocky shuttle]

It was cut off

[sharp mulch]

It was cut off

[deep mango]

curl(fA) = grad(f) x A + f curl(A)

or something

i see

[neat lintel]

does anyone can help me out with permutation combination : )

[deep mango]

See #❓how-to-get-help

[neat lintel]

okay

[deep mango]

yea

[rocky shuttle]

urgh

[sharp mulch]

Lol still cut off

Why is there a ,

Lol

[rocky shuttle]

I hope it gets across

[deep mango]

yes i see

seems good

[rocky shuttle]

You know what, here: https://mathb.in/73438

[sharp mulch]

Another biot-savart integral

[rocky shuttle]

Is anything involved with cross products called Biot-Savart

[sharp mulch]

The exact form of the integral will depend on the geometry of course

I mean it's like

B-S = some sort of convolution thing

This is called a biot-savart law because vorticity in fluid dynamics acts like a point charge

So it's really not that far removed

[rocky shuttle]

I see

zeta is the vorticity, I assume

[sharp mulch]

Yeah

And this is on a sphere

That's what the S is for

[rocky shuttle]

Ah, and the left part of the integrand would correspond the gradient of the Green's function, right?

[sharp mulch]

Sort of

[rocky shuttle]

Not quite, I see it now

[sharp mulch]

u=nabla psi cross x

[rocky shuttle]

Yeah

[sharp mulch]

And Delta psi = -zeta

So yeah basically

[deep mango]

Another way to look at it is as a pseudodifferential operator @rocky shuttle

[rocky shuttle]

How exactly?

[sharp mulch]

Fourier multiplier

[deep mango]

Well

let's see

[rocky shuttle]

Yeah, I know that much

[deep mango]

we want to invert k cross Bhat = Jhat, where k dot Bhat = 0. since Bhat is orthogonal to k and crossing by k is just a 90 degree rotation in the kperp plane, we can just cross by k again, take a minus sign, and then normalize by |k|^2?

that should work

so it should be -k x Jhat/|k|^2

in fourier space

and the corresponding pseudodifferential operator is $-\nabla \times (-\Delta)^{-1}$

Is that right?

[fathom swallow]

ryc

[deep mango]

Gives you something divergence free

Oh this is just

exactly what we did

solved the laplace equation and then took a curl

lol

[rocky shuttle]

Mhmm

I see

[deep mango]

This works in 2D I think too. you get $-\nabla^{\perp} (-\Delta)^{-1}$

[fathom swallow]

ryc

[deep mango]

The fundamental solution of the laplacian is nastier there

uhh

[sharp mulch]

log?

[deep mango]

it's a log so maybe the grad perp of that is similar

[sharp mulch]

log(norm(x-y))

[rocky shuttle]

log(1/norm(x-y))/(2*pi)

[deep mango]

anyway

maybe you can get it right away with greens theorem or something dumb like that

in 2d

surely you can use greens theorem to do an integration by parts or something

[gleaming shoal]

What  is ∆

Just gimme the name so i csn google

[eager reef]

Delta?

[rocky shuttle]

Laplace operator/Laplacian in the above context

[sharp mulch]

Oh close enough

[neat lintel]

do you guys use exponential notation for waves?

[sharp mulch]

What

Like e^(i(kx-omega*t))?

[neat lintel]

yeah

[sharp mulch]

Yes

[neat lintel]

how would you describe a standing wave

or, get an equation for one

[sharp mulch]

omega=0

[neat lintel]

that simple huh. they're said to form as a result of intereference. how would the nodal points be defined?

[sharp mulch]

What are nodal points

[neat lintel]

the points on the wave that are maximums are anti nodes. the points that don't oscillate are nodes

maybe it's something in physics. when you add two waves moving in opposite directions, they'll interefere and the sum of their amplitudes becomes the max of the resultant wave

or something

[sharp mulch]

The nodal points will depend on k

[orchid ginkgo]

is in a vacuum the acceleration everytime constant?

[sharp mulch]

You may want to ask in the physics server linked in #old-network

[cosmic roost]

the physics server is dead

[sharp mulch]

That does not make this the physics help server

[cosmic roost]

I didnt say that this is the physics help server

[simple laurel]

how can i use roller coasters in calculus of variations

like i know its a brachistochrone problem, but my professor says i need to find something new and apply it to calculus of variations so im confused on how to do that now

[cosmic roost]

lol lovely question

very funny

[neat frost]

Hi Kirby!

[bright hill]

Sup Kirby

[simple laurel]

bro what

[split island]

What about making the functional describe how fun it is with some safety constraints like the function being smooth or some other thing, like a limited total length. y(x) would be the position of the roller coaster in space at position x

Hiya!

Like people riding roller coasters like things that go high and are fast, but they don’t want it to be too fast

[fair mural]

kirby going crazy about cov

[simple laurel]

what do you mean by the function being smooth

[split island]

Uhhh, just is differentiable infinitely many times. If you don’t know about smoothness, it is a problem to avoid thinking about bc your function will be fine

In context, it just means that there aren’t a bunch of sharp corners

[simple laurel]

hmm how does finding the minimal time for the cart to finish a loop after descending sound like? or what other constraints could i think about

[split island]

So the constraint would be having a loop of fixed height or something and you’d be finding a function that minimizes the time taken to exit that loop?

[simple laurel]

okay okay so this is assuming that the track is frictionless and theres no breaking system correct?

[split island]

Yeah, but you can add those in too if you want I think

[simple laurel]

okay awesome, do you by chance know how i could start to find the functional to minimize?

[split island]

Draw an example, then try to understand the important parts of the problem

Like what are you rewarding and what are you penalizing for a function y

[simple laurel]

okay sounds good thank you!

[split island]

It’s one of the more interesting subjects in math

[proud olive]

Cov?

[rocky shuttle]

calculus of variations

[proud olive]

Oh

[lone carbon]

Why is that everytime I go into the help forums I see someone just telling the person asking for help the answer instead of actually helping them?

https://discord.com/channels/268882317391429632/1047584493227225229
Like here someone just told them the answer and the kid is still confused, because as it turns out just telling them the answer doesn't actually help.

Maybe I've just gotten unlucky with the parts of the forum I've seen it but I wish the rules about helping were more strictly enforced.

[woven whale]

I feel ya

it fucking sucks

you try to help people

and someone just comes in and spoonfeeds them

thinking they're "so smart"

[cosmic roost]

I hope someone came up with a descrete cousin of this

[silver meteor]

i give wrong method

[split island]

Problems in calculus of variations can be discretized for computational reasons yes

Actually! Sometimes thinking about things discretely can solve general problems related to calculus of variations

[abstract musk]

My algebra teacher has reiterated that "the way to piss off a math teacher" is the statement (x+4)^2 = x^2+16, what other things can I not do to make my math teacher angry?

[mystic mountain]

do algebra correctly

[abstract musk]

I will definitely do that

[rocky shuttle]

Arguing that (x+4)^2 = x^2+16 is true on fields of characteristic 2

[brittle socket]

[static loom]

get crazy (x+4)^2=x^2+4*2 in characteristic 2 as well

[rocky shuttle]

even crazier: x^2=x^2

[storm sage]

https://mathequalslove.net/rational-expressions-killing-cats-poster/

[split island]

@rocky shuttle since you reacted and I don't want to do computations on this navier stokes problem, I will explain a little bit. (Edit: "A little bit = 5k characters )
I am so sorry for the mess discussion is about to view.. This took me a while.. I got carried away

[storm sage]

that is terrifying

[zealous garden]

that is beautiful and wondrous

[split island]

There's an error on the last picture, it should be \varpsi_\star(x)

[sharp mulch]

@next schooner maybe some helpful background reading

[split island]

I like the last exercise because I think it's really cool how everything interacts when you find the gradient in 2-wasserstein space

[next schooner]

nice

i will read this when brain working again tomorrow

[versed nimbus]

Why do you square (x-mean) in standard deviation?

[split island]

Here's the solution to the problem, but I'll give you something else
[- v = \lim_{t\to0} \frac{T^\star(x)-x}{t}] because I realize I don't have any rigor behind this argument so I need to work it out later, I've just taken it as a handwavy thingy

[fathom swallow]

KirbY

[split island]

You can recover a bunch of standard using gradient flows in 2-wasserstein space, like if your functional is int rho log rho dx, then you recover the fokker planck equation as a wasserstein gradient flow

A bunch of interesting things come out of that

[wooden flax]

holy

[bronze wedge]

cool (especially given it involves Kolmogorov forward equations)

[split island]

Yeah, there's a lot of interplay in optimal transport, and I really need to read up on more probability because I use bits and pieces of it, but understanding it more is probably a good idea

[wild panther]

so could u figure out how i could move a big box as efficiently as possible to a house?

im confused on optimal transport

[split island]

The usual one that is a little practical is thinking about how to fill up holes of dirt if you have 1 unit mass of dirt to fill in those holes (the total volume of these holes is also 1 unit mass)

An inefficient way to do this would be 1 dirt grain at a time

[wild panther]

right, so optimal transport solves this problem by filling it up more efficiently?

[split island]

Yes

Then there's the problem of how do you not overfill a hole and how do you model that?

Intuitively, it's simple because you can just not use all the dirt on your shovel

[wild panther]

excavator

[split island]

but how do you model that mathematically? As it turns out, there is a clever way to think about the problem by thinking about the problem as not a function of dirt to hole, but rather a more integrated perspective where you take into account that the holes may not be the same size

[wild panther]

interesting

could optimal transport be used for real world problems?

[split island]

I'm obfuscating the math here because the math involved here might scare people off

[split island]

Yes! Optimal transport is one of the largest areas of active research in applied mathematics

[wild panther]

even for the box to house thing i mentioned?

[split island]

Well, not really

[wild panther]

how about for digging the biggest hole, and then filling it right back up with a different substance

[split island]

I'm sure there's a paper from the early days of optimal transport that mirrors that idea in a diffferent application

but optimal transport now is actually used in fields like machine learning

or image processing

[wild panther]

for transporting data?

[split island]

That could be one way to think about it. In deep learning, you have many many dimensions (data sets are large), and sometimes it's hard to understand the trends or the information about this data, so there's a concept called clustering that does what it sounds like

it clusters data based off of some "trend"

[wild panther]

and applies it to something else?

[split island]

Yeah, eventually it'll be used in some deep learning application

[wild panther]

is that how social media platforms collect data?

[split island]

I'm not sure if optimal transport is being used in their methods

[neat frost]

So Kirby what is your research relating to?

[wild panther]

optimal transport is cool

[neat frost]

I want to learn about optimal transport (for the food)

[split island]

My research asks the question of "what happens when you make your high dimensional models continuous?"

[wild panther]

THERES FOOD INVOLVED!?!

[split island]

Aha, I have bribed some people here to learn optimal transport with the empty promise of free dinner one day

[neat frost]

Yeah little known secret. Everyone who learns optimal transport is automatically given food

[wild panther]

lmao

[neat frost]

Better not be empty and I don’t want dinner, I want a milkshake

[wild panther]

i remember when i was 9 or 10

[neat frost]

Chocolate milkshake

With a brownie

[wild panther]

i went to USC for a business lecture

that lasted 3 days, for 8 hours a day

and my only motivation was free subway

[neat frost]

8 hours for one lecture???

[wild panther]

it was some special event

i wanted to start a business at the time

[neat frost]

I’m assuming there were breaks though?

[wild panther]

subway breaks

😄

[neat frost]

Noice

[wild panther]

there were 2

2 30 min breaks

honestly it was very interesting

i made good connections

and now i probably have a higher chance of going to USC

if i wanted to

Win+Win

[neat frost]

Hmm that’s cool

[split island]

So in image processing, for example, there's a process called image segmentation. What this does is essentially group parts of your image into related chunks like you can see in this picture above. You can keep using computer algorithms to calculate these image segments, but there's a question you can ask, "what happens when represent these images as smooth functions." A smooth function is just a function that behaves very nicely and mathematicians like them. Well, there's another issue, if your segment's interior is smooth, what about the boundary? You can have a boundary that looks super jagged like (d) in the picture, so we need to account for that.
This is the main idea of the Mumford-Shah model of image segmentation, and the goal is to minimize the error between the image segments and the original image in addition to making sure the boundary is nicely behaved

This plot is unrelated to this model in particular, I just found it on google

[wild panther]

i wonder if that is what thispersondoesntexist.com uses

[split island]

Admittedly, I need to do more reading on the computational side of things

because I can explain this from a low level math/analysis understanding, but it's hard to understand how it's directly implemented in practice when I haven't gone out and tried it myself

I'm super interested in data science, but I'm not especially big on the CS part of data science, which probably will cause me problems later

[wild panther]

lol

computer science rox

(it doesnt)

[neat frost]

Computer science is shit

I have a test in CS in like 5 min

[split island]

rip

[wild panther]

so you have chosen not 100k a year income from some stupid startup

[neat frost]

Algorithm vibes

[wild panther]

man

[split island]

I have chosen 5 more years of school instead of getting a job out of undergrad

[wild panther]

u seem very interested in ur research

so i would assume u do

kirby i will give u 1$ if u give me 50% of ur work credits when u make some big breakthrough

[split island]

Smh no

[brittle socket]

[wild panther]

cant blame me for trying

now sign here

[torn willow]

So how egotistical/rude are profs in general? Like I get the impression they are an unpleasant bunch to be around

[wild panther]

depends

what class

what uni

dont take philosoph

y

[split island]

[torn willow]

Like they don't like to explain and just boss around people

[wild panther]

those teachers are the worst

[torn willow]

And gaslight randomly

[split island]

I think it depends on the department, the professors in my department have been very understanding and helpful through this semester bc I've been going through a lot

and I don't get those vibes from anyone I've interacted with but 1 prof

[jovial ember]

[brittle socket]

Hi monke

[jovial ember]

Instead of saying I been having troubles I just study like a madman for 1 week

To avoid having 2 have that conversation

This is healthy

[torn willow]

Understandable

[jovial ember]

Skrungly

[jovial ember]

Hi grass

[split island]

This semester I put on my "I will be emotionally involved" shoes, but then all this stuff happened this semester so I'm happy I did

[torn willow]

Actually idk why

But profs make me feel uneasy

Except for 1 or 2

[split island]

I think it's a comfort level and power dynamic thing mostly

[torn willow]

Ok,ig that makes sense? Profs here are literally tyrants(as in absolute power over someone's academic life)

[wild panther]

which uni

[torn willow]

A guy committed suicide because a prof asserted his tyranny

[wild panther]

did they sue him

[torn willow]

No

[wild panther]

they can yk

i think they can

or atleast get him fired

[torn willow]

No, He's perfectly fine

Not even controversy

[wild panther]

thats fucked up

[torn willow]

Ok, I guess from a societal pov,the institute propagates tyranny?

Because it's complicit in hiding profs from controversy

[torn willow]

https://www.thehindu.com/news/cities/Tiruchirapalli/bangladeshi-student-found-dead-in-nit-t-hostel/article38208478.ece

The prof is mentioned nowhere

[echo tundra]

I've heard similar news from some IISER, the guy was just trying to finish his PhD. He was there for about 7 years I think which is the maximum time possible
His guide was kinda very rude and didn't care at all. He died in the lab by overdosing on some dog pills which hydrolysed to cyanide in his stomach
And his corpse stayed in the lab for 3 hours while everyone else was parting just outside a floor above. Big Oof

[torn willow]

What's up with the targets always being bright people

[torn willow]

https://www.thequint.com/news/iiser-kolkata-phd-scholar-subhadip-roy-died-by-suicide-friends-lament
This?

[echo tundra]

My hypothesis is that people really underestimate how tough research is. Not only you need a good brain but also luck
Luck in form of good guide, friends and other forms of support. Plus, too much investment isolates you from the society

[echo tundra]

yes

[torn willow]

I think it's incompetent egotistical profs

Like this guy had ideas,but his advisor turned them down

Because research is very tough everywhere but with a good advisor you get somewhere

[echo tundra]

Definitely, that is almost implicit. Having a good guide solves 50% of the PhD problems

I'd say that guide makes a difference of heaven and hell

[wild lantern]

Here it varies a lot between school and dept

I guess even that is not very accurate. It's about as varied as whether or not random people on the street or internet are gonna suck

I've noticed our cs dept is understaffed and most of our profs come from industry. A lot of them seem more abrasive to me than my profs in other depts.

But there's also a really shitty culture of CS students here that want to cheat and complain their way through everything too

So I kinda chalk it up as like a departmental culture type thing?

Literally every one of my math profs here has been super nice and well intentioned.

[torn willow]

I see

[neat frost]

😭

[split island]

rip

[torn willow]

Atleast it's not learning a fucking utterly obscure language for this random shitty exam

And then the prof gives you zero marks because "shit UI"

[torn willow]

Best of luck

[true bough]

good luck shlurpie

oh wait

did the test complete?

[torn willow]

Oh mb

[rocky shuttle]

I was wondering what you were typing for so long but I already went to sleep when you sent it

I'll take my time to read it

[split island]

Yeah, it went a lot longer than I wanted it to bc I wanted to get through some of the interesting details

[surreal sapphire]

good luck slurp

[torn willow]

You are too late

[surreal sapphire]

no

[silver meteor]

hi

[rocky shuttle]

Good luck!

[silver meteor]

thanks

[latent sage]

@silver meteor they hijacked convo

With proofs and whatnot

[minor plank]

Hello

[cosmic roost]

Show me how

Please lop

So ik if i like it or not the discretization

[split island]

Functionals are integrated over, so you take discrete timesteps over the interval to estimate the integral

Then you optimize against that

[cosmic roost]

Ic

[silver meteor]

who

[latent sage]

Humans

Who talk about proofs

[silver meteor]

:c

[latent sage]

I don't get that sphere

And 4 ....

Cones

[bright hill]

Guys, guess what I got

[latent sage]

An A in math

[latent sage]

Neat

[bright hill]

It's in french

BUT WE WIN DEES

[latent sage]

Nuts

[bright hill]

WE GOT EM BOYS

[latent sage]

?

[fresh stone]

[woven whale]

fr*nch 🤢

[latent sage]

Froth

French is cool

DUOLINGO MATH IS OUT

for iOS

[cosmic roost]

Wthell?

[latent sage]

WHat

[bright hill]

i need to review all of this since I haven't done analysis in months

Lmfao

Ye...

[cosmic roost]

The hacker

[latent sage]

Darby got a mathbook

It's almost like when Dooby got a sock.

[cosmic roost]

You like w function?

[latent sage]

Btw

Are functions like a meatgrinder

U put smth in. Something else comes out.

[cosmic roost]

I meant the lambert's stupid one

[latent sage]

Guys?

[cosmic roost]

Good

[latent sage]

How to be noticed instead of ignored?

[cosmic roost]

Fawkes

[neat frost]

Unfortunately

[cosmic roost]

Ameo doesn't exist

[true bough]

how did it go

[neat frost]

Pretty sure the 😭 emoji sums it up pretty well

The quiz was literally on a single question from our hw, and it happened to be the one question that I for whatever reason did not go over

[latent sage]

FYL

[neat frost]

Yeah something like that

[latent sage]

Sorry to hear that

[neat frost]

Well it won’t affect my grade directly (we have 3 quizzes and the best 2 are used for our grade), so I’m a bit pissed but hopefully I’ll do better next time

My fault anyway

Yeah oh well

Also kinda pissed that I came up with (the beginning of) the correct answer, but managed to convince myself that I was wrong not a cool move by me

[brittle socket]

Pain

[sick kite]

Nice pfp

[brittle socket]

[bright hill]

any pronouns
LOL

Femboi arc: remastered?

Also, good morning

Also, rip

[latent sage]

Do u guys know of Duolingo Math?

It's out on iOS

[bright hill]

But it's like arithmetic and stuff, no?

Elementary school math

[latent sage]

Most likely it's for elementary and high school

Didn't check it yet. Am on Android currently

[neat frost]

Idk what you’re talking about

[bright hill]

Suuure

Suresuresure

Anyhow

@neat frost where's my good morning?

@supple flame nice hat

Gj airy

[neat frost]

Good morning!

[long matrix]

hi schnoo

[bright hill]

Khan academy

It's always Khan academy

Hm?

[latent sage]

@stiff grove u can always ask here

Or type what you're studying into Google

And seek results

Btw if it's simple mby I can help

Depends on task difficulty

Cool. Got example?

https://tenor.com/view/emoanaida-moon-vector-despicable-me-gif-18766763

Thats Vector.

Vector Victor

Anyway, IDK. HAHA

[harsh lion]

Ty, nic hat. Yw @supple flame 😌

🥲

Prob later isoki

Ty

[long matrix]

meow

[latent sage]

[bright hill]

Thanks!

[latent sage]

What???

[bright hill]

Kirby made jt for me

[latent sage]

Is that some math joke I don't understand?

[long matrix]

thats a person

not a joke

[latent sage]

Yes

Chairman

[split island]

Is the other chair person

[torn willow]

I was a moron in #advanced-lounge

[zealous garden]

Uh oh lmao

[proud olive]

Welcome to the club brother

Nice to know that we're the ones who get snapped first if the mods ever decides to do a purge

[zealous garden]

that's sad

[fast moat]

im thinking of making a tic tac toe ai

[sonic dagger]

I already asked this question here but i dont remember the name of the site, can someone give me a free too to make animated maths video?

[sharp mulch]

Don't ask the same question in multiple places

[torn willow]

Manim?

mb

[sharp mulch]

You did nothing wrong

[harsh lion]

Yw o Kirby seem like make gud hat😌

[quasi jetty]

@next schooner asked to be reminded <t:1669865952:R>: read kirby's thing

[eager reef]

They made mine as well!

[harsh lion]

O waw so nic

[fair mural]

[zealous garden]

Whoa there's a bot for reminders here?

[split island]

Yea

I'm not sure who has access to it though

[torn willow]

Probably honorables?

[zealous garden]

After experimenting for 10 minutes I have determined that my pfp is not fit to have a hat added in

And I was unable to find a suitable alternative before I had to go to work

[torn willow]

Can't you just add decorations over your headphones

[zealous garden]

I meant a suitable alternative pfp to add a hat on

[fair mural]

cat ears @zealous garden

[zealous garden]

Lmfao

Good suggestions all around

[neat lintel]

where can i get free textbooks? i need to get Thomas’ Calculus: Early Transcendentals, 14th edition, by Hass, Heil, Weir.

[tight comet]

Not here.

[long matrix]

cat ears.

[naive chasm]

Cat girls.

[neat frost]

cat boys

[naive chasm]

Nom

No.

[neat frost]

Cat paws

[silver meteor]

cat food

[violet coral]

🐈

[rocky shuttle]

good vocaloid song

[raw scroll]

Transgender cats

[sharp mulch]

?

[deep mango]

Hi discussion 2

[zealous garden]

Hey ryc

[neat lintel]

Yes

[fluid rover]

since this is empty

[light crane]

No

[fluid rover]

im looking for someone to learn limites and differential with

[fluid rover]

OH GOD DAM IT

[light crane]

Heheh

[fluid rover]

well

since you here

how you doing bud?

ok since no one is here again

anyone starting learning limits and differentials? cuz im relearning that shi so someone to discuss would be helpful dm ya boi

🫡

[copper shore]

Does anyone find it easier to learn math out of their own will (like learning it for fun because you want to) as compared to having to learn it in a place like an academic environment?

[torn willow]

That's the entire basis for the choice of my degree

Do a cs degree for money

Learn math in a stress free non academic environment

It's just you hit a limit and/or go directionless for a while

[bronze pelican]

Even as an academic myself, I learn more from personal projects compared to classes

Because I'm learning topics at my own pace and spend more time with it

[torn willow]

I guess as an academic,you know what you are getting into/what you want

[bronze pelican]

Yeah

[torn willow]

Also don't most people do cs for the money

Like that sounds like a common thing

[cinder zephyr]

It's very common

[gray mountain]

This new change is cool.

But are genders really important in this server

Still, it's a cool visual

[zealous garden]

Speak for yourself

I am not a human being

No, I'm a wraith

It's in the name

I have long since ascended beyond

Embrace the tendril of God within you and you may one day as well

Because God is in all things

Your soul is a tendril of God given its own incarnation

To embrace it is to accept the quest of never ending self improvement

Of knowledge seeking

Yes, I wait for you Yohan

[stuck veldt]

,,,

[tight comet]

🧐

[dusty sonnet]

Can anyone explain about kernel and image of linear transformation and its usecase in real life/Data science

[sharp mulch]

Don't ask the same question in multiple channels

[light crane]

What if I’m asking how you’re doing ☺️

[sharp mulch]

No

[fresh stone]

unfortunate

[junior jolt]

hey guys

anyone here know much about N-body simulations?

i have this weird bug where two particles will start flying off in the same direction

when they get close enough

(even if i disable gravity for sufficiently close particles)

[sharp mulch]

This is not really the server for help with debugging

[woven whale]

@storm sage can you help me pick a new wallet

I was thinking of one of those flip wallets but I forgor which brand sells them

I don't want leather or anything cheap

I had that for the longest time and it never ended well

[storm sage]

I am not in that area of expertise

Lol

[woven whale]

do you know anyone who is

[eager reef]

[storm sage]

no lol

[violet coral]

Can i ask a random question in here

i want a discussion

[split island]

as long if it’s server appropriate, go for it

[deep mango]

[violet coral]

Its not really a math question

[indigo lichen]

what is it

[violet coral]

is truth objective ?

[indigo lichen]

its deceptionally expansive

and dellusionally

[violet coral]

right

[split island]

Why monkey

[deep mango]

I think truth is objective by definition

But I don't think we have the capacity to witness it in the natural world

Only in abstract reasoning

[violet coral]

What if we had different truths
Example: I see mass genocide as horrible. Hitler doesn’t

[alpine kindle]

let's not discuss this example

[deep mango]

Because this is always where this goes

[violet coral]

Ok

[deep mango]

Anyway

[indigo lichen]

its an example nontheless

[split island]

Sigh

[violet coral]

right

[deep mango]

I dont see how you can describe either of those things as truths

I don't even know what that means

Like

[violet coral]

Its true that i see genocide as rifjt

Its true that he sees genocide as wrong

[deep mango]

That is true

Yeah

Those dont contradict

[indigo lichen]

at this point truth has become just what the norm is

[violet coral]

Super super true

[tight comet]

this isn't persona/smt

[violet coral]

Wdym

[neat frost]

Pretty sure Hitler is dead m8

[split island]

As Ally said, let’s not discuss this example

[solid snow]

You just described something being subjective

[neat frost]

Okay okay

Here’s a better one

I think image processing is boring but KirbY is obsessed with it

Thus contradicting each other and bringing an end to reality as we know it. All because Kirby has weird interests

[split island]

Yeah, when considering perspectives, it’s maybe the truth to one person and another to another person, but that doesn’t make that perspective objective. I feel like these are different definitions of truth

Like Slurp thinks I have weird interests, but only because they see it as weird and subjectively they say my interests aren’t interesting, but objectively, my interests are subjects in math

[violet coral]

Good example

[neat frost]

Okay I’ll be honest, image processing is pretty interesting. This is why reality still exists, since our truths can coexist

Because they’re the same

See?

[fervent light]

how do you prove 3^n/n is not bounded above?

[violet coral]

interests aren’t really truths

what would be a truth is “i enjoy math”

[split island]

Yes, by interests I meant I enjoy … and Slurp finds … boring

But you make a good point on how to define these sort of subjective truths, and those are a matter of opinion, but that also opens a can of worms to consider that bc as ryc mentioned, it’s something that cannot be witnessed in the real world and only in the abstract sense

[violet coral]

Very hard to think about

[wooden flax]

@split island what are your interests

[viscid jasper]

Here's a little rant from me, I'll have a max grade in Topology, Lie Groups, DEs, Complex Analysis, Functional Analysis but I'll barely pass statistics

Cause the assistant turned this course into a googling competition

[burnt kettle]

Maybe you just need to study harder?

[neat lintel]

Honestly when people say this is pretty irrespectful

[burnt kettle]

Maybe they are not used to statistics and it's a different field

So they need to study harder

[eager reef]

good edit!

[neat lintel]

Some tests are really based on luck more than studying 😮‍💨

[burnt kettle]

True you can have bad classes but how do you judge a class 🙂

[eager reef]

eh the assistant might be fucking things up, i wouldn't rule that out

[burnt kettle]

But the internet exists

[viscid jasper]

No its not true like

1. I'm not a stats guy

2. Even the ppl that actually love stats are ending googling problems up

on the internet

which even discourages me to do anything about it

[burnt kettle]

Is this an intro stats class?

E.g. probability stuff

[viscid jasper]

It is supposed to be an intro to stats class

[burnt kettle]

Or actual stats methods

Do you learn regression

[viscid jasper]

Yes

[burnt kettle]

Or do you focus on distributions

[viscid jasper]

We do both

[burnt kettle]

So, is an example question something like:

Probe that a sum on exponential random variables is a gamma random variable

Or more like:

Here's some data, do mle and estimate a parameter

[viscid jasper]

No no

Its theoretical more or less

Like find mom of a gamma distribution

[burnt kettle]

Okay

[viscid jasper]

There might be one actual computational task

But the rest are like this

[burnt kettle]

Yep, I did a stat class like this

You just need to do a lot of practice

And memorising

[neat lintel]

I don't do much math 😅 I can't help here

[viscid jasper]

I mean, I've got told that stats should be like the easiest course you take

Like by several people, even from my university, so this really got me unexpected

[neat lintel]

I don't know I never did it in HS and I don't have statistics in uni.

all I have is a Numerical analysis and geometry modeling course in my first year, it's the reason I'm in this server

[viscid jasper]

do you like geometry?

[neat lintel]

A little. I like symmetry and shapes

[viscid jasper]

nice, I really love it

and hate courses that lack it

like statistics for example

[neat lintel]

After knowing shapes is at the core of my degree, because I need them to realise real things

[viscid jasper]

nice

[neat lintel]

The math we do here isn't really super formal or abstract

but it gives more numerical approach to realise real stuff in the world.
I can use those geometry shapes to optimize an object and improve its stability.

[viscid jasper]

thats also cool

like yesterday I saw a video of a guy asking funding for a tablet case that looks like a book

but what happened is when potential investor tried it, his tablet fell off it

so I guess that guy needs to learn numerical analysis

🤣

[viscid jasper]

was it a grad or undergrad course?

[rocky shuttle]

@split island https://mathb.in/73458

[split island]

I’ll check this out when I get on the bus!

[rocky shuttle]

Alright

[split island]

Gradient flows, calcvar, and optimal transport as they relate to applications in materials science, image processing, and machine learning

[wooden flax]

sounds dope

[split island]

It’s very subject to change, but that’s vaguely what my research statement was on

[rocky shuttle]

I had a tutor who did optimal transport in image processing in her master's thesis

I remember a demonstration where multiple images were interpolated in a more sophisticated way

Looked pretty cool

[split island]

Okay so your gradient is right yeah, I have a few things to clear up .

1. The whole backwards in time thing is something explained to me that I just accepted, but now realizes it makes no sense upon reading things, so I’ll look into that more rigorously.
2. The gradient flow is instead the expression for the time evolution of rho. T star comes from the Benamou Brenier theorem, which basically says that a transport map can be represented as a gradient as another function so it’s an intuitive thing to notice that this is indeed related to the gradient, but it’s related to the velocity field of these distributions as you saw

Phi and psi comes from kantorovich duality

[rocky shuttle]

Okay, good to know, I'm not familiar with the underlying theorems

[split island]

I can get into the specific definitions when I can access my desktop, I didn’t know mathbin existed so I’ll use that

Jk I desperately need to clean my apartment and do chores

So I’ll get back to you a bit later

No more application due so now to resume being a human

[fathom swallow]

19 members found matching KirbY!

1.   Kirby_ngl#0132 
2.   kirby your mom#8749 
3.   KirbySmashBrosUltimate#5715 
4.   the kirby of semen#4596 
5.   Who1S.KiRbY#7357 
6.   KirbysGames#7659 
7.   KirbyTooGosu#0668 
8.   Kirby#0703 
9.   kirbylover#7355 
10.  kirby#3063 
11.  KirbY (catamay#4026)
12.  KirbyKrinkle#7182 
13.  KirbysGames#1604 
14.  ToxicKirby#4660 
15.  gabluvkirby125#8526 
16.  KirbyTheCleric#2515 
17.  Kirby-#5809 
18.  kirbyblox#6397 
19.  KirbySkirby#2671 ```
Please type the number corresponding to your selection, or type `c` now to cancel.

[sharp mulch]

#bots

[split island]

It’s 9pm

It's fine here ange I think

[sharp mulch]

I know I just wanted to

[split island]

Lmao

[fathom swallow]

Member selection timed out.

Dec 3, 2022, 1:58 AM

[rocky shuttle]

It's 3 am here

[split island]

Hm so perhaps I'll update you tomorrow

[rocky shuttle]

So, yeah, maybe next time then

[proper bone]

how should i get into learning complex numbers?

[storm sage]

Khan Academy is a good resource

[reef rover]

@sharp mulch

[rocky shuttle]

#❓how-to-get-help

[reef rover]

@proper boneThe content of Chinese high school plural is not difficult

[proper bone]

What?

[reef rover]

I think plural is easy

But I'm not sure we're learning the same thing

[proper bone]

Sorry but I'm confused

[reef rover]

Do you not understand what I am saying or do you not understand plural?@proper bone

[proper bone]

I know what a plural is but I'm not understanding what you're meaning to the message you tagged me

[long matrix]

[sharp mulch]

Why was I pinged

[reef rover]

It means I'm talking to you, sorry I'm not good with this yet

[proper bone]

yeah me 2 buddy i'm new to discord

[reef rover]

but i chinese

[neat lintel]

Hi

[proper bone]

hello

[reef rover]

My native language is Chinese

[reef rover]

what?

[proper bone]

english is my 3rd language

so i'm trashy at it

[reef rover]

What is your native language

You are excellent

[sharp mulch]

You pinged me

[reef rover]

I can only speak Chinese and a little English

[proper bone]

indonesian is my native lang

[neat lintel]

我学习中文

我是雅达利人

[reef rover]

Because your nickname is Chinese

[sharp mulch]

Why does that matter

[reef rover]

I thought you were Chinese, too

[sharp mulch]

What if I am

[reef rover]

?