serious-discussion

[light needle]

all algebraicly closed fields of the same char and same non-countable cardinality are isomorphic. pretty cursed

[jovial ember]

Hmmmmmmmmmmmmmmmmmm

Idk maybe C is best thought of as a topological field idk

[dense belfry]

I don't think this is cursed tbh

Transcendence degree takes the place of dimension, for countable algebraically closed fields you have transcendence degree a finite cardinal or omega

[bronze pelican]

you can say C is the unique algebraically closed field of char 0 up to isomorphism with cardinality of the continuum but that's forgetting a lot of what makes C good imo

[dense belfry]

Then for cardinals above the continuum transcendence degree = dimension

[bronze pelican]

this quote may or maynot be relevant

[dense belfry]

Yeah that's a good quote

That fact that transcendence degree works so well makes me happy

[untold sapphire]

most based

[dense belfry]

If Q is so basic why can't we figure out if Hilbert's 10th problem for Q is decidable while we know for sure it's decidable for \bar Q

[bronze pelican]

Q is also simultaneously the most interesting and fascinating field you could study

[untold sapphire]

number theory is ezpz

if you ignore like

logic post 1920

[tiny marten]

Number theory is pretty badass

L functions are super cool

L functions got me really interested in analysis and then dynamics

[neat lintel]

tell me something cool about L functions

i have an analytic number theory exam in a week and feel no motivation to study for it

give me something cool

[bronze pelican]

Tbh i don't know much Bout them

I'm reading Daniel Bump automorphic forms and representations and one of the immediate goals of that book its to get functional equations for L functions associated to modular forms and then also Euler products

I don't know why this is desirable but its something u can do

BTW the L function of a modular form is just given by taking the Fourier coefficients of the modular form and using that sequence as the coefficients of your dirichlet series

A "normalized Hecke eigenform" is a very special modular form that comes from number theory (the discriminat modular form is an example)

So yeah, just like the Euler product formula for the Riemann zeta function, you can also get Euler products for L functions associated to (special) modular forms (called normalized hecke eigenforms)

I actually don't even know why you care about these L functions in the first place, but there's that

If someone knows why L functions are interesting/important let me know

[sly thistle]

i mean in which way do you mean why, do you mean why as in, in what ways are they important, or why as in, for what reason are they important

[bronze pelican]

Both

[sly vale]

Me when eigentheory:

Hecke

[sly thistle]

im pretty sure theres a mathoverflow answer for this that is probably better

[fair mural]

mosh not in the help channels

rare

[sly thistle]

https://mathoverflow.net/questions/187879/underlying-idea-for-automorphic-l-function this probably

[velvet dagger]

@bronze pelican are you happy about L-functions from arithmetic?

For instance given an elliptic curve you have the Hasse-Weil L-function

[bronze pelican]

The most voted answer doesn't really explain anything

[sly thistle]

yeah

it be like that sometimes

[bronze pelican]

No I havnt learned about these

[fathom swallow]

several people

[velvet dagger]

a_p(E) is solutions to E mod p

[mortal igloo]

p+1 - #E(F_p)

[velvet dagger]

And 1_N(p) is 1 is p doesn't divide N and 0 otherwise

[mortal igloo]

I'm partial to Iversen bracket notation: $[p\nmid N]$

[velvet dagger]

Oh tru Icy

[fathom swallow]

Icy001

[mortal igloo]

although that's not in popular usage yet in this case

[velvet dagger]

Oh N is the conductor of the elliptic curve btw

But yeah point being I can attach an L-function and I might care about e.g. meromorphic continuation and functional euation

The way you prove this is basically modularity

You associate this elliptic curve to a Hecke eigenform whose Fourier coefficients are the a_p(E)

And you know those guys have meromorphic continuation/functional euation

[bronze pelican]

You're doing the same thing

You have someone you care about [elliptic curve, modular form, number field, dirichlet character] and then you associate an L function to it

For God knows what reason

An then you start proving analytic continuation , functional equation, and euler products for it

But who cares, why do you are about this object

?

[velvet dagger]

Birch-Swinnerton Dyer is an example

Big conjecture, states the rank of an elliptic curve is the order of vanishing of the L-function at s=1

But yeah I thought you were chill with arithmetically defined L-functions and wondered why we cared about automorphic ones, rather than just not being sure at all

[bronze pelican]

Like I just don't get the philosophy behind L functions

BSD is a big conjecture that relates the behavior of a certain L function to the arithmetic of an elliptic curve , sure

[tiny marten]

i dont know a ton of theory like geometry and such but i really liked the artin L function

this is a relatively unsophisticated function but i found its connection to galois theory very illuminating

the L functions sort of become more and more sophisticated by incorporated more math and the part i studied was mostly having to do with ramification and where abstract algebra starts playing a big role

basically part of an L function incorporates the ambient algebra of the fields it is defined over

as they generalize more and more you see more reasons why L functions must work in the simplest case

which is good because it is kind of unclear for a while why they work

[mortal igloo]

It might be that we care about L functions of lots of objects because they might give us clues about BSD and even the Riemann hypothesis

[tiny marten]

also the artin L function plays the same role L functions do for the integers and complex plane, which is cool and requires this higher idea of primality which is v cool

[bronze pelican]

I liked Dedekind zeta functions

[tiny marten]

yeah

all those classic ones are cool i didnt get enough in the geometry to go further

[bronze pelican]

Dedekind zeta functions are just a generalization fo the Riemann zeta function to number fields

Like the dedekind zeta function for the field Q is the Riemann zeta function

And in general, the dedekind zeta functions for the nunebr field K is

[velvet dagger]

Yeah I mean, I think the correct answer is that they carry a lot of nice info

So yeah for example Dedekind zeta functions have an analytic class number formula

[tiny marten]

i like them because they are the archetype of unintuitive analysis results

[velvet dagger]

And that is pretty much the value of L(chi,1) for appropriate chi

[bronze pelican]

Yes the whole reason i started learning about dedekind zeta function was to prove the analytic class number formula

[velvet dagger]

This gives non-vanishing of L-functions at 1, which in turn gives Dirichlet's theorem on arithmetic progressions

From Langlands, these kinds of L-functions are "GL1" L-functions

While those attached to automorphic forms/elliptic curves are GL2 L-functions

[bronze pelican]

The euler product for dedekind zeta functions is just a consequence of or even restatement of the fact that there's unquie factorization fo ideal of a number ring into prime ideals

[velvet dagger]

Yeah

[tiny marten]

it really is beautiful

[velvet dagger]

And in fact the product formula basically boils down to understanding ramification

[bronze pelican]

What do you mean

[velvet dagger]

So let's say chi is the Dirichlet character that tells you whether or not you're 1 mod 4

[fathom swallow]

several people

[velvet dagger]

How do you prove this? Compare Euler products

[tiny marten]

oh yeah it has all these easy identities

[velvet dagger]

On the LHS you have a product over prime ideals in Q(i), well you can ask which primes they lie over

[tiny marten]

i did a presentation on this stuff once

[velvet dagger]

And pretty much the point is that if a rational prime p is, say inert, then the norm of the ideal (p) in Q(i) is just p^2

Right?

[fathom swallow]

several people

[tiny marten]

all this advanced posting and it's not even the advanced lounge

[bronze pelican]

Looking back in Marcus

He only proved class number formula for abelian number fields ?

[fathom swallow]

several people

[velvet dagger]

And ramified prime cancels out

So product formula is basically saying, oh hey turns out chi(p) = 1 when p is unramified, and it's -1 when p is inert, and that's precisely based on what's up mod 4

[bronze pelican]

K is an abelian number field, G is the galois group Gal(K/Q), G-hat is the dual group Hom(G,C*) = characters of G

m is the conductor(?) of K

f_p is the inertial degree of a prime p that ramifies in K

r_p is the number of primes in K that lie over p

[bronze pelican]

Yeah this formula is a special case of that above screenshot

When K = Q(i)

Here m = 4, the only ramified prime is 2, it has inertial degree 1, and there is exactly 1 prime lying over it. There's only 1 nontrivial character for the galois group Gal(Q(i)/Q)

Cool

Anyway, I like dedekind zeta functions because they pretty much paralel the riemann zeta function, but are for number fields. And just like the Riemann zeta function, their behavior tells you about the distribution of primes (or prime ideals in a number ring)

So if you accept the riemann zeta function is an important thing to study, and you buy its connection yo the distribution of primes, then studying dedekind zeta functions are also motivated in the same way

Also the class number formula motivated dedekind zeta functions

And I guess BSD motivates Hasse-Weil L functions

[velvet dagger]

Yeah I think BSD is the correct answer, plus in hindsight the Langlands program

[bronze pelican]

Dirichlrt theorem on arithmetic progs motivates dirichlet L functions

Idk how to motivate l functions associated to modular forms , except that ramanujan found this really nice euler product for the L function associated to discriminant modular form

Artin L functions sound cool but I don't know what they are

What is the unifying theme behind L functions, other than they have functional equations and euler products

How could you come up with your own L function if you wanted to

[velvet dagger]

Check out the Weil conjectures also

That I think is a good reason to like L-functions

I think Selberg tried to define "the general L-function"

[sly thistle]

Well for elliptic curves you get a lot of information like rank I think

From the L function

Nvm dami just said that

Nvm this convo happened hours ago

[bold ferry]

Hey it's the YouTuber

[toxic schooner]

yes

[honest veldt]

what the hell, it's alephnull, fancy meeting you here

give me your ip address

[wild jay]

alephnull stole my name

[mint patio]

Wait is that actually him

@sly thistle

Sorry to ping lol curious

Hahaha look who I found trying to look for his channel

We found Mr. Digital Maestro 😎

Can you sum functions?

That

ok I mean

Can you sum over function classes/types (I mean that as a normal person word, not a type theory thing)??

Like sigma f: V->V but with more restrictive codomain and domain

Or maybe like sum all the elements of a set whose members are functions that meet some more specific criteria

Just curious what this means

I’m not sure how else to understand this

“Sum of norm of all functions that map gamma-delta x to x^2…angle of primes???”

LOL

Someone enlighten me that sounds ridiculous when I say it out loud

[vagrant kestrel]

it's a meme

[mint patio]

oh.

[elder finch]

Guys ! What do you think, am I right ?? 🤔

[jovial ember]

I think under most reasonable definitions of a like S isn’t a line

It’s a curve

But not a line

[elder finch]

Yeah : )

[jovial ember]

I think it’s less to do with its length though and the fact it isn’t straight lol

If I asked someone to draw me a line and they drew an S I’d look at them like

[wild jay]

S would be a line, if your definition of line was 2D.

[cold needle]

if the S was very very large and you were standing on the S you would have no way to tell that you were on an S and not a line

[jovial ember]

A manifold is just R^n bro!

[wild jay]

[cold needle]

[jovial ember]

The sphere is just R^2 dude

The earth is flat bro

[cold needle]

fax

[elder finch]

Xd

[wild jay]

$R^{\pi}$

[fathom swallow]

Master Butler

[jovial ember]

Mf didn’t even do \mathbb{R}

[wild jay]

forgor

[static loom]

just need to do \bR even

[jovial ember]

Isn’t that only if you set that up?

$\bR$

Wtf

[static loom]

the bot here is set up automagically

[jovial ember]

Oh okay

[static loom]

a handful of convenient packages are used, idk all of them or if it's documented in the bot help or what

[jovial ember]

I see I see

$\bQ$

Wow this changes my life

[static loom]

no \bF sadly

[fair mural]

$\mathbb{R^{\pi}}$

[fathom swallow]

quantum

[mint patio]

why'd you mathbb pi

LMAO

[unborn trellis]

LOCAL = GLOBAL

[fair mural]

hi feather owo

[mint patio]

hi quantypoo

[last oxide]

S is a family of lines in S

[wild jay]

ueuwyww

[glad glade]

Oissu!

is it alright to ask a math problem that has a bit of physics stuff in it?

[velvet dagger]

Go for it! If it's homework (or the type of problem that could very well be a homework one) read #❓how-to-get-help and follow the instructions

[glad glade]

alrighty, thanks!

[normal ice]

hi

someone wanna chat?

[untold sapphire]

yet we still say "Line integral"

i'mg goin joiker mode

[jovial ember]

I don’t

I say contour integral

[untold sapphire]

nice

[jovial ember]

Because I refuse to do a line integral I don’t plan to use the residue theorem on

[untold sapphire]

i say "path integral" even tho this is just wrong and used in physics to mean something different

[jovial ember]

Someone once asked what the difference between a line integral and contour integral is

And my answer was that contour integral means you plan to use the residue theorem

[timid spindle]

cries in level sets

[wooden dirge]

Does anyone have any good math prayers I can recite to the math gods? I have my analysis exam in couple of hours.

I need to conjure a miracle.

URGENT!

[wooden dirge]

Okay I wrote one

Hallowed be thy calculus. 
Thy theorems come. 
Thy will be proved, 
As it is in the Textbook.

Help us remember our formulas 
And forgive us for our blunders, 
as we forgive our professors,
for making us use δ-ϵ 
And lead us not to unsolved problems, 
but deliver us from unfair exams. Amen```

[sly thistle]

no.

u get asked this a lot

[ancient flame]

URGENT!

@wooden dirge cauchy did not invent calculus

it was newton

:)

and hence a debate started in #serious-discussion and lasted for 5 hours while gmod was in class

[fair mural]

liebniz invented calculus

[toxic schooner]

and the debate that is absolutely useless begins

[dire light]

Who here believes in the superiority of bacon

Cuz lol I do

[deep mango]

I like bacon a lot but there are better meats in certain occasions

[narrow rock]

bacon is very overrated

[sly thistle]

chicken gang

[fair mural]

chicken gang

[spring wyvern]

chicken gang?

[fair mural]

chicken gang

[spring wyvern]

is chiken gang okay?

idk

chicken gang would exceed the 32 char limit

[spring wyvern]

guys, what's the most sullied message?

[deep mango]

#discussion message

[fair mural]

dan

[wooden dirge]

what does sullied mean?

[fair mural]

everyone denies it but it basically means bruh

[wooden dirge]

sure I guess that makes sense

👍

[spring wyvern]

does all of sg except math use dan?

(idk, i only joined math and physics)

[leaden torrent]

dan is the original name

no clue why this server changed it

before my tenure

[deep mango]

what is "dan" even referring to

[blazing pawn]

dan freed i think

who made this face once or something idk

[fair mural]

danned or sullied

[pale orchid]

the thing is that the verb sully also fits incredibly well

i would argue it borders on brilliance

[toxic schooner]

It doesnt border

it lies there in the middle of brilliance

[static loom]

ok first

you need to define your topology on brilliance

[toxic schooner]

[cold needle]

sup norm

induce

oog

[fair mural]

[fringe needle]

This is the first time in a while that my physics exercise series has felt trivial 😌

[toxic schooner]

which topic?

[deep mango]

...

[fair mural]

good choice of pin

ryc sounds so cute in that message

[toxic schooner]

whats math rock

[leaden skiff]

that thread in pins is comedy gold

[deep mango]

math rock is like

super confusing time signatures, lots of weird rhythmic patterns, lots of weird harmonies

it's what it sounds like i guess

it's kind of cool, but in a lot of ways it is also just like... gratuitous i guess

[fair mural]

quirky ryc

[deep mango]

so true

[leaden skiff]

is that real math

[fair mural]

no clue

this is a google moment

[deep mango]

i think if you remove the word "martingale-valued" it becomes real math

though i'm not the person to ask

[fringe needle]

do you like animals as leaders?

[deep mango]

idk what that is

if you recommend me a song you can find out whether i'll call it garbage

[fair mural]

i’m still surprised you didn’t call the songs i sent you garbage

ryc at least slightly approves of my taste

[deep mango]

well i'm used to the music i'm recommended here causing me physical pain

[blazing pawn]

this feels like a targeted attack

[fair mural]

moth

you know what i must do

i hope you aren’t annoyed at this point

it actually sent very quickly this time

surprising

ok i’m actually starting to get tired of this lol

[blazing pawn]

maybe i will make it a sticker

[fair mural]

not a bad idea

call it mothday

[cold needle]

:mothday:

[fair mural]

:mothday:

[fair mural]

oh yes

[cold needle]

[cold needle]

moth day

[fair mural]

this is amazing

[vivid halo]

moth day

[fading hull]

20

[dire light]

What

[prisma shard]

about the equationt^2 = 2h/g :
I want to use this for projectile motion. My friends say that t = the entire time the projectile is in the air, from launch to ground.
I think t = half of that, or time between launch and reaching max height

who's in the wrong?

[static loom]

how did you come to this formula?

[prisma shard]

s = h = ut + ½at2

= 0t + ½gt2

So h = ½gt2

Which gives

t2 = 2h/g

[static loom]

reverse engineering it, looks like h= gt^2/2 which is what you'd expect if you were to drop an object with no initial velocity a distance of h

[prisma shard]

so my friends are wrong ?

[static loom]

your description is entirely off

[prisma shard]

sounds about right

[static loom]

it starts at the max height according to this working out

[prisma shard]

I'm trying to calculate gravity based on height and time for context, for a projectile launched straight up

[static loom]

yeah so why are you putting u=0

your initial velocity is nonzero

[prisma shard]

well when it falls back down

should be the same for both up and down from max height

just reversed ?

[static loom]

you should have explained that then

[prisma shard]

idk what to explain, this is probably so simple and I'm confused over nothing

[static loom]

yeah it's right, then you want to double the time cause you've halved the time by starting at the halfway point

you can check by working it out both ways and comparing answers

[prisma shard]

so which option would get the accurate gravity if we know the t from launch to landing?

dividing t/2 right?

[static loom]

not sure what you mean

[prisma shard]

ok

so i should treat the projectile motion as if it is just a drop then

from max height h to 0. where we know the t for the full trajectory, but can divide by 2 to get long it falls for

[static loom]

that sounds about right

[prisma shard]

ok good

cause i was being told I should be using t for the full trajectory in that equation and that just doesn't make much sense

[crystal stone]

I've been good, just quit my job to move

On the lookout for a new job; wifey has been pressuring me to program so I'm caving and trying to do some C++

Waiting to hear back from PhD program

[viscid pecan]

Oh ok

[velvet dagger]

C++ feels like it'll be painful based on my memory of C

[cold needle]

c++ goodddd

[velvet dagger]

Idk man segfaults aren't great for mental health

[cold needle]

ok Fair

[crystal dagger]

yea it is more painful lol

[velvet dagger]

huh

How

[crystal dagger]

i just found polymorphism and inheritance hard

we did cpp right after c

[velvet dagger]

Idk those lol

[cold needle]

eh those aren't that bad

[wise rose]

C++ is primarily painful when you run into type errors in doing too much templating -- and in the annoyances of STL boilerplate that they are slowly reducing in newer versions (use C++20 if you can). If you do things "the C++ way," with vectors and not C-style arrays; strings and not C-strings; smart pointers and RAII not manual memory management; then you shouldn't run into many segfaults.

[velvet dagger]

Interesting, what are C-strings in contrast to strings?

But yeah if C++ has its own memory management and smart pointers that helps a fair bit. Since you seem to know about this, I'd also like to ask what your impressions are on the different versions of C (at least the prominent ones, I mostly know of C, C++, and C#). And how they all compare to Python

[wise rose]

C-strings are an array of characters terminated by a NUL character (\0)

This causes problems to no end in C

C# is, like Java and Python, the same ALGOL family, but it's not really related. Microsoft just needed a response to getting sued for J++.

I would say that C# is to C as JavaScript is to Java -- i.e. it's not.

[velvet dagger]

Gotcha

Do you think C++ is just an improvement™️ over C? Or are there some drawbacks?

[wise rose]

C++ is primarily an improvement because of the addition of namespaces, better type safety, better memory safety (if you use certain features), and the STL. Scoped enums are also nice.

You don't really lose anything by using C++, it's not strictly a superset of C. C and C++ committees continue advancing the languages separately. But, for the most part, anything in C is better when compiled as C++.

[velvet dagger]

Gotcha. I might try out C++ then, and/or Python. I've been traumatized by C lol

[crystal stone]

Honestly might just go back to Russian School of Math

In other news I'm supposed to be published soon

[gentle bay]

?

[crystal stone]

Supposedly I'm getting published in a journal

For a math paper

along with my research mentor

[gentle bay]

Woah!

Topic?

[crystal stone]

Analysis & PDEs

[gentle bay]

Send after it is published if you can, if you do not mind the name doxx.

[crystal stone]

I do mind the name doxx

[gentle bay]

Cool!

[crystal stone]

A lot of people dislike me here for my political beliefs

[gentle bay]

Oohh.

[crystal stone]

I'm afraid if my name got out then people would try to cancel me

take away funding, etc.

[gentle bay]

Wait what.

Is that sarcasm?

[crystal stone]

It happened to someone in this server

No

[gentle bay]

Well you can send in DMs if you like.

[crystal stone]

Someone I know let their name slip out, and ppl were calling their school/advisor to not work with them

etc.

[gentle bay]

Woah!

Literally.

That's crazy.

[crystal stone]

Yes, it is

I don't recognize your name, if you're someone I trust I'll share it with you

[gentle bay]

Uh sure.

I do not know most stuff in the subject.

But I want a further glance into research papers.

Have I told you the story about that shitty research paper I wrote?

[crystal stone]

I can recommend some papers for you to read if you're interested in Analysis & PDEs

[gentle bay]

Well basically in early 7th grade(almost 1.5 years ago) there was this guy who was acting all big and all.

So he started a course on research paper writing.

I enrolled in it and the fees was high af.

[crystal stone]

You're in like 8th-9th grade?

[gentle bay]

At the end I published this research paper in a shitty journal.

[crystal stone]

LMAO

[gentle bay]

8th yes.

IKR.

[crystal stone]

That's funny

[gentle bay]

On Dyson Spheres and Dyson Swarms.

[crystal stone]

lol

I'd keep that a secret

[gentle bay]

Why?

I can show the paper if you want.

[spring wyvern]

YOOO THERE"S FINALLY A MOTH DAY STICKER

[crystal stone]

I mean when you apply to like REUs or HS research programs

[gentle bay]

Oh.

That is the first time in my life I actually got almost scammed.

Or rather got scammed.

[crystal stone]

yeah, it happens

[gentle bay]

Like you need at least advanced calculus for any sort of real research.

[crystal stone]

I don't think that's true

[gentle bay]

More?

[crystal stone]

It certainly helps

But you can do a lot of things with just low level stuff

[gentle bay]

Oooo.

I can send the paper but that will dox my name and school.

Wait I'ma just send images of the paper.

Most of the math stuff was done by my partner who was 2 years older than me and I know very less math back then .

Here.

You left me hanging there.

[crystal stone]

yUh

[crystal stone]

Looks neatO

[gentle bay]

You read?

[crystal stone]

yUh

[fringe needle]

late but cafo

[spring wyvern]

https://www.youtube.com/watch?v=8M19xr9A4sw

[raw crypt]

Oh wow, I was reading about those a few days ago. That's really cool.

Are you a physics major?

[fair mural]

no he’s 13 lol

if that sounds like i was kidding i wasn’t

[raw crypt]

Ah, then allow me to rephrase: prospective physics major?

[wooden flax]

who does that

messes with a ppls irl because of discord lmao

[rotund steppe]

ever seen twitter/fb?

only thing that's different with discord is that 1) no real name attached usually and 2) hard to track your history through diff servers

[sly vale]

me with random people with nothing better to do

[wooden flax]

[gentle bay]

8th grader.

Heard of it yeah.

[gentle bay]

Thank You!

[gentle bay]

Yes probably if not Math.

Wow!!

Looks pretty cool!

[raw crypt]

Nice. I take it you have an interest in cosmology, given that your report was on dyson spheres. I was reading something interesting today about imaginary time.

[fair mural]

imaginary time?

[gentle bay]

Oh.

Tell me about it.

(Also that paper was like 1.5 years ago and most of the math part was done by my partner).

[raw crypt]

Do you mean this literally or figuratively?

(Sorry, I'm incompetent with socializing)

[gentle bay]

Uh like tell me about the idea?

[raw crypt]

GLAD YOU ASKED.

Ok, so,

[gentle bay]

Literally I suppose.

[fair mural]

aggressively passionate

[gentle bay]

Like me !

[raw crypt]

Imaginary time is exceptionally useful in avoiding certain complications that arise in the expansion models of our universe with ordinary time, at the point of a singularity, at which the laws of physics begin to degrade. In this, we can imagine all events in ordinary time to be happening simultaneously (mathematically, we can visualize this as a new axis of time perpendicular to our "real-time"), not unlike Feynman's model of a particle's path with respect to time as a "sum through histories". Because of this, we can just avoid the notion of a singularity all together, because in this "imaginary time", coined as euclidean spacetime, because in this, it is just like another point.

Hawking gives a great analogy for this with a Friedmann diagram in A Brief History of Time.

I can try and find a summary on google, if ya don't wanna read the book.

@gentle bay

[gentle bay]

Woah " all events in ordinary time to be happening simultaneously".

What is Feynman's particle path model?

[gentle bay]

Hmmm. So you broke relativity?

[gentle bay]

Oh.

[raw crypt]

He calls it the "sum through histories", which basically posits that particles do not have one history, but share every possible history given by their wave functions.

[gentle bay]

Woah what????????!

[raw crypt]

Uh, not really. Relativistic principles are still abided by, it just allows us to surmount the obstacles given by a singularity.

[gentle bay]

Oh.

[raw crypt]

It's pretty interesting stuff lol.

[gentle bay]

F I mostly stopped studying Pop-Science around 1 year ago.

To learn real math.

To one day complete Calculus and Differential Equations.

And then Do REAL Physics!!!!

[raw crypt]

I've decided to get back into math recently too.

[gentle bay]

Oh.

Which grade?

[raw crypt]

I need to work on group theory more, in order to understand certain kinds of symmetries in physics.

[raw crypt]

I'm only 16.

[gentle bay]

Cool!

[raw crypt]

Ayo, it's nice that there's other kids here who are into stuff like math and physics.

What math are you doing rn?

[fair mural]

16 but working on group theory

[gentle bay]

But- share their own histories? Stuff which did not happen to them are in their history?

[fair mural]

guess we’re all pretty young lol

[gentle bay]

See yourself you are pro at Math too.

[raw crypt]

Yeah.... I usually don't share my age. Perhaps it was a mistake.

[fair mural]

why would it matter lol

[gentle bay]

Gonna start Calculus soon.

• Started this book called "Mathematical Circles".

[raw crypt]

Idk. People tend to be more willing to talk to me about technical topics before I share the fact that I'm a high schooler.

[fair mural]

no one really cares here

not like most people will remember your age anyways

[raw crypt]

It also incorporates virtual particle interactions, not just tangible ones.

[gentle bay]

Combinatorics, Probability, Some Geometry and Inequalities, etc.

[raw crypt]

Speaking of virtual particles,

[gentle bay]

Woahhow.

Heard of them but dunno.

[gentle bay]

Unless you do good work.

Great, ground-breaking work.

[gentle bay]

Yes?

[raw crypt]

Well, if we think about a single particle and its wavefunction, the position it will occupy is chosen by said wavefunction, and the particle we trace is considered "tangible", because it is measurable, but the many worlds interpretation claims that the other possible positions it could occupy under said distribution still exist as mere fluctuations, or virtual particles, which we cannot detect under ordinary circumstances, but their interference is still observed.

And in special cases, they can even pop into existence!

[gentle bay]

Ohhh.

[gentle bay]

Yo whaaaaaaat!

But then Conservation of Matter and Energy????

Wait.

What.

[gentle bay]

So in this are they even real or just in though experiment?

[raw crypt]

Take for example right outside the event horizon of a black hole, if the gravitational pull is strong enough, vacuum fluctuations of virtual particle-antiparticle pairs that momentarily pop into existence then re-annihilate can be torn apart. One virtual particle/antiparticle will be sucked into the black hole by its intense pull, and the other will be ejected outwards, making it so that they can no longer annihilate and are trapped in our "tangible" world. The ejected particle is said to have positive energy, and appears to be emitted from the black hole, being called Hawking Radiation, and the other has negative energy, being sucked into the black hole, causing it too to lose energy, and hence mass, per the mass energy equivalency.

That's where the black hole evaporation concept comes from.

[raw crypt]

Still preserved.

[gentle bay]

Woah how.

[raw crypt]

I just explained.

[gentle bay]

Oohh.

Yeah I have heard about Hawking Radiation.

[gentle bay]

WOAH!

[raw crypt]

IKR!

It's mindblowing stuff.

[gentle bay]

CRAZY!

[raw crypt]

Yeah. You seem adept in physics, you should read about this stuff more.

So fun.

[gentle bay]

Yes.

I want to.

But without the adequate math.

I can not.

So yeah I have been stuck with math for like the past 1 year.

[raw crypt]

Oof, if it makes you feel any better, I'm not great at math, but I still understand this stuff fairly well.

[gentle bay]

Did Algebra 1, most of Algebra 2, about half of HS Geometry, and some of PreCalculus.

F I will need to revise stuff I forgot so much in Algebra 2 and PreCalculus.

But wait. I did not actually do PreCalculus.

Mehh.

[raw crypt]

To understand it conceptually, not much advanced math is needed for this, because there are several intuitive explanations that are out there.

[gentle bay]

But then why are you doing Category Theory .

[raw crypt]

To get a technical understanding is where super advanced math is needed.

[gentle bay]

Yeah I have this book called "Conceptual Physics by Paul G. Hewitz".

[raw crypt]

I said I was doing group theory, not category theory.

[gentle bay]

It rarely has equations.

Mostly intuitive understanding.

[gentle bay]

Oh yeah that.

[raw crypt]

Also, my reasoning is because the symmetries explored in modern physics are very complex, and I want to be able to understand it more.

[gentle bay]

Hmmm.

?

[raw crypt]

I'm very much a novice with group theory, because my entire scope of experience with it is just a few youtube videos and lessons I've read online.

[gentle bay]

But you know Calculus and stuff, right?

[raw crypt]

Yea.

[gentle bay]

See.

[ornate marlin]

i'm still in school; and no one will answer so can you guys pls tell me what is calculus

[fair mural]

the math of change

[gentle bay]

It is the study of change....and area?

Well yeah change.

[fair mural]

not area

[gentle bay]

Yeah.

Integrals is just calculate with area.

I used to think Calculus was just approximations.

[fair mural]

they can do other things but yes that is one of the things they can do

[gentle bay]

Now I know it is accurate and clever af approximations.

[gentle bay]

Idk I have learnt way too less in Calculus.

[fair mural]

taylor series moment

[raw crypt]

Every time I hear the taylor series, I think of the girl in my class who smells like tunafish.

Her name is taylor.

I can't read about it without thinking of her.

;-;

[gentle bay]

That is the next video I am going to watch in the 3B1B playlist after Higher-order derivatives.

[raw crypt]

AAAA 3b1b is great.

[gentle bay]

I mean he saved my life and sanity once.

[fair mural]

i suggest you just do calculus instead of watching 3b1b

[gentle bay]

Idk like 3 weeks ago?

[gentle bay]

Quantum.

I will do real Calculus after 3B1B series.

From a real textbook.

Stewart's.

[raw crypt]

Mainly, I just watch those videos for fun.

[gentle bay]

You know I regret buying Stewart's.

[fair mural]

isn’t stewarts calculus like really hard

[raw crypt]

It's not the kind of thing one takes notes on.

[fair mural]

and advanced

[gentle bay]

Freaking boring + idk + toooo thick book.

[brave hollow]

wouldn't make sense its a standard text for high scool/early undergrad

you are thinking of spivak

[fair mural]

must be thinking of something else then

oh yeah

lol

[raw crypt]

Quantum,

I think I asked you earlier,

What music are you into?

[gentle bay]

https://www.youtube.com/watch?v=BLkz5LGWihw&list=PLZHQObOWTQDMsr9K-rj53DwVRMYO3t5Yr&index=11

Errr this is so small.

[fair mural]

@raw crypt rap

what about you

[raw crypt]

I'm into classical, and baroque mainly.

I play piano.

[fair mural]

what’s baroque?

[raw crypt]

Pre-classical.

Think Bach's time period.

Bach is by far my favorite composer.

[fair mural]

classical classical

do you like any modern music?

for some reason i feel like that could be interpreted as me being rude lol

[gentle bay]

How do people like classical music?

[fair mural]

just different preferences

unnecessary to say

[gentle bay]

Oh wait someone here like classic.

Shit mb.

[fair mural]

oof clofenotane went offline lol

just realized how creative that name is

[raw crypt]

Eh, it's fine.

[raw crypt]

It's just a compound that's similar to DDT.

Since dichlorodiphenyltriethane wouldn't fit in the username category.

[gentle bay]

Oh.

[fair mural]

[raw crypt]

I listen to it for the analysis.

And, because I'm a conservatory student and I have to for my academics.

[raw crypt]

Yeah, tons of it.

Mainly what I look for in music is creative counterpoints and clever structure, and it's not exclusively limited to classical music, just prevalent there.

[fair mural]

sounds like you put lots of thought into what you add to your playlist

i just add whatever sounds good, as long as it doesn’t have lil pump type lyrics

[raw crypt]

(yea, don't look at all the weeb shit I have though)

[fair mural]

anime pfp btw

[raw crypt]

Futaba best girl.

[fair mural]

can’t comment on it since i haven’t seen that anime

[raw crypt]

I need an anime girl who talks about Laplace's demon with me.

The principles they bring up in that show are actually valid.

[fair mural]

is that referring to laplace the mathematician or something else?

[raw crypt]

Yea.

Laplace's demon is an analogy used in superdeterminism.

It goes something along the lines of: if you knew the position and velocity of every particle in the universe, one could effectively predict the future.

It's refuted ofc by Heisenberg's uncertainty principle.

But it's still cute coming from an anime girl.

[fair mural]

physics coming from a cute anime girl?

sign me up

[wintry mesa]

@fair mural are u good with statistic

can u help me plz ❤️

[fair mural]

1. no
2. if people ask me to help them i will do the opposite

[wintry mesa]

):

ima kms

[fair mural]

you shouldn’t say that

[limber perch]

@fair mural don't help me

[fair mural]

how i want to send this 20 times

[velvet dagger]

roatdw and 123four if this isn't an inside joke please chill lol

[wintry mesa]

im joking

just stressing

[wise rose]

My middle school made us listen to a lot of Mozart because "The Mozart Effect" was published. Also, we were a magnet school for band geeks.

So there were only 150 students and we all had concert band.

I played the flute through middle school and into high school.

[neat lintel]

cringe

[wise rose]

they would like play Mozart before math tests in hopes that it would make us do better.

[toxic schooner]

i love how complicated that compound sounds, but how actually simple it is (in the sense that its just telling what what groups are present there)

[wise rose]

https://www.amazon.com/Manga-Guide-Physics-Hideo-Nitta/dp/1593271964/ref=sr_1_1

[gentle bay]

Oh my.

[wise rose]

NoStarch has a whole set of them. https://nostarch.com/catalog/manga

[last oxide]

https://images-ext-2.discordapp.net/external/aGC9IqnUCfswXgUhMCjDgXuzwfOLLRJr-tqgD-MGBHs/%3Fwidth%3D433%26height%3D573/https/media.discordapp.net/attachments/273920762312916992/919851416548425760/unknown-16.png

[leaden torrent]

#「ivory-tower-emeritus」 message

[rotund steppe]

Can they do this but for math

Maybe I won’t hate math as much

For calc*

[brave hollow]

there are plenty but I have been told by some1 who has read them(calc and LA) they are not really good at its job

probably a flaw in design

[rotund steppe]

[leaden torrent]

theyre left-to-right

thats all i know about them

but it seems like the weirdest fucking choice

is your target audience not weebs

[brave hollow]

but the authors from what I have heard are japanese?

[leaden torrent]

math notation in general would make more sense if it was right-to-left

obligatory (x)f

[sly thistle]

So maths isn’t a manga? Thank fuck

[leaden torrent]

the fact that a map A —f→ B —g→ C is written g\circ f

is really dumb

f \circ g is far more natural

[pale orchid]

only if x is also to the left of f

[leaden torrent]

exactly my point

[pale orchid]

i do understand and partially agree

this is the same thing that makes german numbers considerably cursed

[spring wyvern]

is this in the zoph whatever (probably not, but i'm still going to ask anyways)

[leaden torrent]

ivory post thats too sinful for public eyes

[wild lantern]

Can't you just flip the arrows you're using to describe your maps from A to B to C rather than changing your composition notation?

[leaden torrent]

huh

[pale orchid]

you can, but you then have the same problem that you write in one direction and read in the opposite

[wild lantern]

Maybe I'm being dumb tho

Oh yah good pt.

[leaden torrent]

im still confused

[wild lantern]

So instead of A->B do B<-A basically.

[leaden torrent]

that doesnt fix anything

you still read in the directions of the arrows

[wild lantern]

Yah I see that now.

[pale orchid]

that works in arabic

[last oxide]

really is the based way of doing it

like

how much time have I even lost

writing from right to left

and Im used to it

but it never goes away

[jovial ember]

[primal crater]

(x)fg

[pale orchid]

\circ x \circ (f(g))

[gloomy osprey]

Hello! Can someone help me with my homework?

[fair mural]

#❓how-to-get-help

[raw crypt]

Which Mozart pieces?

My personal favorite is his sonata for two pianos in D mov I.

[wise rose]

That was more than 20 years ago.

[raw crypt]

Ah, I see.

[wise rose]

I am 37.

[raw crypt]

Well, did it work? How significant was its effect on you? :trole:

[wise rose]

so middle school was about 25 years ago.

I was two grades ahead in math in elementary school, I remained two grades ahead in math. So it didn't hurt.

[raw crypt]

Oh wow, nice.

Same here.

[wise rose]

In 8th grade, three of us actually bused from the middle school to the junior high, where they had a course in trigonometry for advanced 9th graders.

[raw crypt]

The beauty of IUPAC names.

[wise rose]

I don't remember what I did 9th grade. I took AP Calc 10th grade. Then I went to college and did first year Calc in 11th grade.

[raw crypt]

I go to school in New York, so the education here isn't great. A grade ahead here is basically just what the rest of the country does on average.

I just take math through the local college now in 11th grade, since my high school doesn't have what I need.

[deep mango]

this seems out of touch with what the country does on average. lol

[raw crypt]

Nah, in NY they have 9th graders taking alg 1 on average.

[deep mango]

that is absolutely normal

[raw crypt]

Huh?

Oh wow,

Maybe I just talk to math nerds then.

[deep mango]

that was even the standard in NJ, which has one of the best school systems in the country

(though idk if it was the average, it was just the route you did if you didn't try to speed it up at all)

when i was in HS in a very good district in NJ, the options for 9th graders were algebra 1, geometry, or algebra 2 (depending on which of those they'd had a chance to take in middle school - some people did alg 1 in 7th and geometry in 8th, some people did alg 1 in 8th)

[raw crypt]

Ah. My school's "advanced" track makes no sense whatsoever. They have 11th graders taking math 104 first before 106 the same year, but there's so much overlap from the previous years, it would probably just make more sense to lump it all into one year, and let 11th graders take calc ab.

[deep mango]

there's a lot of overlap in general i guess

[raw crypt]

Yea, in my school, we just took a test in 6th grade that let some kids take alg 1 in 7th.

[deep mango]

same

which was dumb cause

like

my whole future was determined by me guessing what a box and whisker plot was when i had no idea

probably

[raw crypt]

LOL.

I probably shouldn't have taken alg 1 in 7th, because now my lazy 12 year old self's grades show up on my high school transcript.

[deep mango]

definitely would not have the opportunities i did in high school and college had i not passed that test

wild

[raw crypt]

Ikr.

I wonder if that's how some foreign students feel when they have to take entrance exams for good middle/high schools.

[toxic schooner]

Not enough to make me love chem

[raw crypt]

Got my report card today. It's carbon tetrafluoride. It has one C and 4 F's.

/j

[toxic schooner]

lmao

[raw crypt]

I actually did get my report card today though.

[toxic schooner]

Oo

[raw crypt]

Yea, my average went down 0.2 points.

;-;

Still above a 100 though, so that's fine. Nothing a cookie can't fix.

[toxic schooner]

Average is above a hundred?

[raw crypt]

Yeah.

AP & college courses offer weight, so you can get above a 100 average if you sacrifice your soul to the devil.

[toxic schooner]

i see

We dont have college courses here, or any course choice really

u just choose a "stream" of subjects that u wanna do

[raw crypt]

Oh, so for example, would you like choose a "stem" or "finance" stream?

Or do I have the wrong idea.

[toxic schooner]

yeah just like that

its like "science" "economics" and "humanities"

science has 2 sub streams, maths, and bio

[raw crypt]

Oh nice science best.

[raw crypt]

Wait, what about physics and chem? ;-;

[toxic schooner]

Those are compulsory for science stream students

[raw crypt]

Oh nice.

[toxic schooner]

u get to choose between maths and bio

[raw crypt]

Man, sounds like a difficult decision.

[toxic schooner]

[raw crypt]

I'd just beg the counselor to let me do both.

What kind of math do they offer?

Is it like, post-calculus stuff?

[toxic schooner]

its usually pre calc and calc

there isnt post calc stuff

[raw crypt]

Ah ic.

[toxic schooner]

and studying maths for school is the most boring thing

[raw crypt]

Wait, but you have the analysis role...

You self study, I take it?

[toxic schooner]

yes

[raw crypt]

Epic.

[toxic schooner]

Its hell trying to manage everything

[raw crypt]

I've just gotten back into self-studying after months of doing the bare minimum for math.

This is gonna be a rollercoaster.

[fair mural]

what math are you into?

or interested in eventually learning

[toxic schooner]

who, me?

[fair mural]

oops, was talking to clofeno

but you can say as well

[raw crypt]

Oh boy, quite a bit. Ideally, I want to get into some areas of analysis, topology, and some other more advanced stuff, but currently I'm just refreshing my memory on calculus, since it's been a while.

I also really want to learn more about group theory soon.

[fair mural]

topology seems quite cool, i definitely want to do that eventually

although i’m currently focused on odes

ordinary differential equations if you aren’t aware of what that means

[raw crypt]

Yeah, I want to make sure I have the proper foundation to understand it though, so I'm working on some prerequisite material.

[toxic schooner]

im currently interested in learning in algebra, geo, analysis and topology, making my way to algebraic geometry

[raw crypt]

Also, ik.

[toxic schooner]

thats it it for maths for now

[raw crypt]

NOICE.

I'm considering purchasing a donut/coffee mug tshirt to confuse people at school.

[toxic schooner]

[fair mural]

look at this

[toxic schooner]

1 DONUT= 1 COFFIS CUP

[raw crypt]

LOL.

It looks like r has one of those tall powedered wigs in spongebob.

[fair mural]

i can see that lol

[raw crypt]

Quantum, are you into quantum physics?

[fair mural]

i used to be interested in physics, in fact that’s what got me back into math, but i don’t really like physics anymore

[raw crypt]

Sadge.

I was just reading about the casimir effect again.

[fair mural]

what’s that

[raw crypt]

It's pretty interesting, if you're familiar.

[toxic schooner]

whats that

[raw crypt]

Oh uh, so it basically demonstrates that negative energy densities can exist.

[toxic schooner]

kinda same
but im still interested in physics

[raw crypt]

If you were to place two metal plates adjacent to one another in a vacuum, virtual particle waves with wavelengths that fit as whole numbers between the plates will continue to be reflected within the interior, but the majority of waves with non-whole number wavelengths will escape to the exterior.

[fair mural]

[raw crypt]

Since vacuum space needs to have an energy density of zero (otherwise it'd be curved), the interior region of the plates with a lower energy density must therefore be negative.

I can send an article that explains it better if you want.

[fair mural]

sure

[toxic schooner]

That is really interesting

[raw crypt]

https://physicsworld.com/a/the-casimir-effect-a-force-from-nothing/

Oh btw,

[toxic schooner]

according to wiki its from QFT

[raw crypt]

The external waves produce a force that pushes the plates together.

Hence "the force from nothing".

[raw crypt]

Yea lol.

[neat lintel]

so is this why eye contact is so awkward?

[raw crypt]

I just look at people's noses instead of their eyes. Nobody can tell the difference.

[neat lintel]

But dont the nostrils look like eyes

[toxic schooner]

idk

[neat lintel]

Dark bottomless abyssal looking eyes

[raw crypt]

I don't talk to people enough to need to worry about eye contact.

So it's not a concern.

[neat lintel]

To define the negative logarithm of a number $a\in\mathbb{R}^{+}$, $\ln(-a)$ we can make use of the fact that $e^{\pi i}=-1$ as well as log-properties.
We first note that $\ln(-1)$ can be rewritten as $\ln(e^{\pi i})$ and simplified to $\pi i$.
We have now established that $\ln(-1) = \pi i$.
We can now rewrite the original logarithm as $\ln(-1)+\ln(a)$ and by what we showed earlier this can be simplified to $\pi i+\ln(a)$ which is well defined.

[fathom swallow]

Jadefalke

[neat lintel]

Made this :D

[neat lintel]

Cool

but what about e^(3pi*i)=-1

[fair mural]

e^(x*pi*i) is a periodic function with a period of 2pi

[odd narwhal]

All of this is very simplified, at every point you are making a choice of branch and limiting the domain of log as a result

[fair mural]

mmmmmmmm complex analysis

[last oxide]

well defined with some care

[vague lion]

that doesn't sound right

i think period is 2

[tiny marten]

I swear half the time I look in discussion channels the discussion is on multivalued functions

[dire light]

Am I the only one here who sucks at math?

[neat lintel]

I guess me also

I didnt get full marks on my math test

I felt mentally unstable

[dire light]

I mean

I suck at Algebra 2

[sly vale]

no.

[crystal dagger]

no.

[fair mural]

no.

[chrome goblet]

I suck at math but I suck at it less than I suck at anything else. So I’m doing math

[rancid meadow]

yes

[neat lintel]

I all of the sudden have the "-" role

what does that even mean

[toxic schooner]

what role is that?

[neat lintel]

no clue it just happened

you're special

[pale orchid]

it means you can no longer post in advanced lounge

[neat lintel]

is that from low quality messages

[pale orchid]

yep

[neat lintel]

😔

[pale orchid]

as you can see from moldi's reaction, they have also been muted for it in the past

[neat lintel]

anyways edd which name do you choose

this isn't advanced lounge 😌

[pale orchid]

oh, so you're aware of the difference

[neat lintel]

now I am 😔

[bronze pelican]

Every day this server gets more elitist

[neon tundra]

Is there a way to get the TeX bot to delete its rendering post when it's been so long that it removed the buttons?

[rancid meadow]

Probably not

why do u want to delete something that long after

[neon tundra]

Decided after sleeping on it that posting a full solution unspoilered in #competition-math was probably not polite. 😅

[rancid meadow]

You can just ask a mod to delete it

Just ping edd or something

[neon tundra]

👍 @pale orchid see above; #competition-math message and the one below might ought to go.

[pale orchid]

i have no idea what you mean by that

ah

you want them deleted

[pale orchid]

all 4 messages? your spoiler-tagged messages and the texit bot answers

[neon tundra]

Just the TeX-bot answers, unless we have rules against solutions there in general.

[pale orchid]

aight

[neon tundra]

Thanks!

[limber perch]

such a good and noble mod

[neat lintel]

hello guys I just want to make sure I understand this -
Derivative of a function basically gives you the Slope of that function at any point

is this the right definition

that is not a definition, unless you have defined slope already

if you defined slope, it depends on what's your definition of slope

@neat lintel

can you just explain a bit more

can you explain a bit more?

What is slope?

the right definition

slope is the change in y : change in x steepness ...

no

...

uhm

the slope is the limit of the ratio between the variation of y and the variation of x

[wise rose]

If you have a point (1,2), it doesn't have a slope of 2. It's just a point. It could be on many different graphs.

you have to say which way it is going -- you need the change in y and the the change in x. If the next point is (2,4), then the slope is (4-2)/(2-1) = 2. But the next point could be (2,37852334). Who knows?

[neon tundra]

The underlying point is there is not really any working definition of slope that doesn't essentially just repeat the definition of the difference quotient.

[neon tundra]

So your statement is true, but it doesn't work as a definition, unless you have already defined the derivative (or difference quotient) at one point.

[ancient flame]

you have the right idea, but as other people said, it doesn't work as a formal definition

[honest veldt]

I think this user just wants to know what a derivative is, at a basic calc 1 level, rather than a formal definition

And to that end, his idea suffices

The derivative at a point on a curve is the slope of the line tangent to the curve at that point

[ancient flame]

yeah you're right

[chrome island]

hello, where can I ask a question? its calculus

[ancient flame]

#❓how-to-get-help @chrome island

[chrome island]

thx

[cold needle]

[fair mural]

replying to a 10 hour old message

[cold needle]

i do not think the advanced lounge in any way is elitist lol

just don't shitpost?

[ancient flame]

yeah they blacklisted me from it

[cold needle]

now i do not expect the advanced lounge to survive for much longer

but whatever

[ancient flame]

yeah there won't be anybody else allowed to speak in there

[cold needle]

yeah

🤷‍♂️

too bad i guess

[neat lintel]

im allowed

[ancient flame]

guys

I know the difference between geometric algebra and algebraic geometry

geometric algebra: saying x² represents a square with side length x

algebraic geometry: looking at a square with side length x and calling it x²

[deep mango]

There have still been lots of very productive discussions in advanced-lounge even if they're less frequent

[simple raven]

Well that's not exactly it for algebraic geometry
A square is not defined by the "equation" x² (whatever that means)

[fair mural]

he means x^2 is the area and x is the side length

[neat lintel]

He was also completely joking

[simple raven]

Ok haha my bad then

[ancient flame]

bruh

y'all don't know what a joke is

[fair mural]

lol

[dire sandal]

I mean

It's math discord

[rancid meadow]

advanced lounge has been good

most people are just unfunny

unfunny + wrong place is a good reason to get blacklisted if u ask me.

i think adv-lounge is a success if it isn't too active

too much activity always means there is shitposting going on

[leaden torrent]

yeah the jokes would be a lot more tolerable if yall were funny instead of just annoying

[scenic narwhal]

What a surprise that the server's primary elitist supports elitism 😌

[ancient flame]

lol

y'all just don't see the funny in my jokes

[scenic narwhal]

grumps.

[leaden torrent]

ive proposed banning anyone who cant construct the reals by memory with only a pair of chopsticks and very runny egg

but alas

[deep mango]

Solid egg yolks... 🤢

They had better be runny

[toxic schooner]

How would this even work?

(yes i understand that its a joke)

[surreal sapphire]

thinking quickly dave constructs the real numbers using only a squirrel, some string and the set of real numbers

[tall badge]

用蛋的书法