serious-discussion

[velvet dagger]

Sulfur Yttrium Boron Gold

[fresh comet]

I don't really see it, beyond mathcord

[timid bronze]

bro.

its worse than the ppl who r like

[fresh comet]

then again, I don't use any other social media outside of discord

[timid bronze]

person 1: -gives 1 compliment-
some random: "SIMP"

worse than the randoms who r like that

Id rather hear the simp comment than sybau pls

[latent edge]

I'd rather hear neither

[timid bronze]

Well duh thats the ideal but if i had to pick 1

[fresh comet]

I still don't know what simp means either

is it short for simpleton or something?

[timid bronze]

higher u didnt know what fl### meant either..

[fresh comet]

like I've been able to discern its rough meaning from context

but idk what it's supposed to actually imply

[latent edge]

higher you know you can just google it right

[fresh comet]

I didn't

[fresh comet]

there is a nontrivial part of me that's afraid of googling weird words

I have been traumatized by doing that a few times

https://tenor.com/view/bubu-no-bubu-headache-bubu-confused-bubu-angry-gif-5172913164574288217

[velvet dagger]

Tbh I don't see sybau a ton, or at least don't notice it. But yeah simp for generic compliment is unfortunately prevalent

[fresh comet]

I've never been called that

and I compliment people all the time

[timid bronze]

someone giving intense overly romanticized attention to another person

Or at least how i think it is

[fresh comet]

like to the extent that I'm nervous about sounding like a broken record

[velvet dagger]

Like okay I guess done ironically sure but I do worry people somewhat internalize the idea that saying nice things = simping/glazing

[timid bronze]

omfg

STOP

[velvet dagger]

We love that about you higher

[timid bronze]

IM DONE WITH THE

GLAZING COMMENT

ITS SO ANNOYING

[fresh comet]

ic

[timid bronze]

If im feeling sad u make my day bro

[fresh comet]

as in, it's overused?

[timid bronze]

U did help me on a few of the days ive been upset throughout the semesters

[fresh comet]

I swear I only hear a few people say that

[timid bronze]

no like when ppl say ur glazing over a compliment

[fresh comet]

I'm happy to have been able to help 🤍

[fresh comet]

I see

[timid bronze]

like ill comment on a kids artwork saying its pretty and some unfunny person replies saying stop glazing

[velvet dagger]

What

[timid bronze]

yea on tiktok

[fresh comet]

[bronze pelican]

Why should I stop glazing

[fresh comet]

I don't see a single world where this is considered excessive praise

[velvet dagger]

That's insane

[timid bronze]

no its just ppl trying to be annoying

[timid bronze]

Glaze chatgpt

[velvet dagger]

But yeah even not when talking to children I think praising people's accomplishments or good qualities should be normalized

[pure hollow]

OMG I love glazing that I'm practically a walking ad for it ong fr fr gng

[timid bronze]

even my family is like dont glaze if i compliment a guys abilities or smth tbh

like not everything is done in a romantic interest lol

[velvet dagger]

Is the logic what I think it... Yeah it is

[timid bronze]

yes

[pure hollow]

Ok but it generally makes me sad that we can't praise ones accomplishments without some troll that will annoy you

[fresh comet]

I only just realized, but I can probably use the fact that I'm aroace to deflect these annoying comments if I ever get hit by them

[velvet dagger]

"Generic praise? You're practically planning the wedding in your mind"

[fresh comet]

I'm gonna keep that in mind so I don't need to deal with this in the future

[velvet dagger]

Yeah rip. Tbh I mostly see or hear about that stuff second hand thankfully

[fresh comet]

[velvet dagger]

Tru

[fresh comet]

it makes me sad too :<

there're already too many mean spirited messages on the internet and in real life

[timid bronze]

fr

[fresh comet]

it'd be a nice change if we could for once choose to show kindness to each other

[pure hollow]

That's why we love you because you are nice change of pace

Well I'll love you regardless

[timid bronze]

ily higher

[fresh comet]

I love you all too

[zealous garden]

What if the words are mean but the spirit is kind

Like a tsundere

[rocky shuttle]

That's ryc

[dreamy ore]

bro im in the army i get my phone 3 hrs a day

pls

[stark pelican]

They must have a really happy life, to hate on everything

[old oak]

What a preposterous idea

[wide orbit]

@humble viper

It's reassuring to use this lmao

[humble viper]

ok final answer

T=0

[wide orbit]

Nope

[humble viper]

[wide orbit]

If you know you might even be able to do functional analysis at college level bro

[humble viper]

oh

[wide orbit]

[humble viper]

tell me how

[wide orbit]

You know that If f(x)=f(x+T) then T is the period

[humble viper]

let me try

bruh tell me already

[wide orbit]

You should apply functional rule on both sides of every equations

[humble viper]

we skip first question, test will start from 2nd

[wide orbit]

Sorry I gotta go now . I'll be back at 9.00

[humble viper]

ok

np

[dreamy ore]

algebraic manipulation is PAIN

😭

book claims this should simplify down to $a\sqrt{1 - E^2 \cos(\phi)^2}$

[fathom swallow]

shiru

[dreamy ore]

but i dont think this is true as the book formula gives the value of 2.40483096618

when the true value is 2.60289944385

i got to here

i dont see a way forward

[shell vigil]

nm

misread the phi^2 as being over the cot

[dreamy ore]

it is

gahhh

[shell vigil]

no i mean i misread it as cot ^2 phi

[dreamy ore]

yeah

thats what it is

[shell vigil]

oh

[dreamy ore]

its [cot(phi)]^2

[shell vigil]

then its just 1-cot^2 phi E^2 / sin^2 phi

[dreamy ore]

huh?

[shell vigil]

the denominator

[shell vigil]

since you can write cot as cos/sin

and then s^2 + c^2 =1

The denominator:
$1 + (1-E^2) cot^2 (\phi)$
then rewrite cot as cos/sin
so denominator:
$sin^2(\phi) + cos^2(\phi) - cos^2 (\phi) E^2$

[fathom swallow]

Executor

[shell vigil]

man that was a pain to write

[dreamy ore]

oh

yes

[dreamy ore]

i got that from this

[shell vigil]

ah ok

[dreamy ore]

is this it tho

[shell vigil]

i don't see a way to simplify that further

[shell vigil]

not to this atleast

[dreamy ore]

i see a way

OHoh nvm lmAO

i think i see where they made the mistake in the book

and funnily enough its the same mistake i made just now lol

[dreamy ore]

expand out the numerator

it becomes suspiciously close to a perfect square

if only the last term was cos^4(phi)

[dreamy ore]

if it was, then it would simplify to this

but its not

so it doesnt

[dreamy ore]

so indeed this is the most simplified it can get

alright that was fun

gtg now cya

[shell vigil]

yeah lmao

[analog hedge]

Hi

[visual breach]

This looks suspiciously astronomical

[brittle crane]

What's a good video to watch before I do a business finance test

[dreamy ore]

its all i do :p

E is ellipse eccentricity tho since desmos always interprets e as 2.718...

its not eccentric anomaly

[unborn meteor]

no?

E is eccentric anomaly and e is eccentricity

[dreamy ore]

i just said in using E as eccentricity here

because desmos doesnt allow e to be any random constant

[unborn meteor]

oh LMFAO

i use "eca" for eccentric anomaly and "ecc" for eccentricity in my code

[dreamy ore]

well im not coding

also the problem i was solving isnt about orbits

its more just a math question than anything :p

[visual breach]

Common astronomy problem, things seems so close to simplification

But it doesn't

[unborn meteor]

@dreamy ore you might be interested in this program i made

https://speedydelete.com/space/

[dreamy ore]

woah

awesome

im on mobile tho so idk if im seeing everything

[unborn meteor]

oh you def aren't

it's much better on laptop/desktop since you can move around to diff planets

[dreamy ore]

i see!

u might be interested in this book i made - i might have shown u but

[dreamy ore]

lmao

[fresh comet]

,ci

[fathom swallow]

Channel information for discussion-2.

​ ​ ​ ​ ​ ​ Name: discussion-2 [#serious-discussion]
​ ​ ​ ​ ​ ​ Type: Text channel
​ ​ ​ ​ ​ ​ ​ ​ ID: 849776666161971240
​ ​ ​ ​ ​ ​ NSFW: No
​ ​ Category: Discussion (360643390594875392)
Created at: <t:1622672945:F>

Topic

General discussion of any (appropriate) topic, no particular focus on mathematics. If you need help with a question, read #❓how-to-get-help.

This channel should have higher-quality discussion than #chill. Please try to act professional or at least civil.

[fresh comet]

today I learned that #cats is as old as the server

[jagged forge]

mathcord and cats… an inseparable and immutable bond

[pure hollow]

Truly

Cats built the internet

Fight me if anyone disagrees

[ivory gull]

@thin relic using log method to find derivatives is actually so efficient

I can't believe i spent so much time on that problem by using quotient rule

I will need to practice the partial derivative method more too

[fresh comet]

logarithmic differentiation?

[ivory gull]

Hmm

Though i really like dy/dx = -(partial derivative w.r.t. x)/(partial derivative w.r.t y)

It saves so much time

[fresh comet]

implicit function theorem

[ivory gull]

Hmm

[foggy meadow]

@storm sage Do you know if A_ij(a,b) = (a_i b_j-a_j b_i) [i≠j] (-1)^ij could make a rotation matrix or not?
I know this might be more of a math help thing but.

If this does work, then I can do something cool.

[foggy meadow]

Looking at the Mathematica is does if I normalize stuff first yay.

Or not, cool. It works under exponential map.

[neat lintel]

guys this isn't math related but can someone help me check my work for a grammar worksheet

[thorn wren]

Cat theory is very important

[junior veldt]

indeed!

[thin relic]

theyre both variations of the chain rule so it makes sense theyre similar

log differentiation is really useful when you have things like

f1(x)^a•f2(x)^b•f3(x)^c/(f4(x)^d•f5(x)^e)

[thin relic]

cat theory is topology according to Ripley

[junior veldt]

Ah yeah definitely

[thin relic]

the partial method is super useful for parameterization

they have overlaps in usefulness but you use both

did you learn parameterizations yet @ivory gull

[thorn wren]

Me

[thin relic]

or anyone else who wants to answer ig

[ivory gull]

I see

[fringe meteor]

cool u did update it

[vernal iron]

CUTE

[frozen kernel]

BREAKING MATH NEWS

Ziaz and b Lou are going to solve the reimann hypothesis!!!

[neat lintel]

by assuming some other conjecute

[frozen kernel]

Ziaz and b Lou are next level look them up

Anyways, what is the best and most entertaining math subject you have learned

[haughty lion]

That's pretty cool

Let's hope they tackle the Riemann hypothesis after that

[neat lintel]

intrestong one is analytic number theory

[neat lintel]

riemmanian geometry is quite good

[frozen kernel]

https://www.tiktok.com/t/ZP8MTWwoM/

[neat lintel]

banned here

[storm sage]

actually I know every bivector in GA represents a rotation (a 90 degree rotation in the plane that it represents), so if you have vectors v^w, then e^(it v^w) will give you a rotation in that plane of t radians

perhaps that's related?

[old oak]

Ordinal arithmetic

[thin relic]

functional analysis

[wooden falcon]

higher cat theory is topology

[fresh comet]

higher!

[neat lintel]

Isomorphism

[proven maple]

has anyone writen an article that includes compass and straight edge constructions

im currently trying to figure out the best way to get them onto latex

[agile fiber]

probably tkz-euclide is your friend

[proven maple]

is there anyway i can get a construction from geogebra and express it there

the problem w writing in tikz is using intersects

[agile fiber]

well that's the utility of tkz-euclide specifically because it supports finding intersects between lines and arcs, so it's geared towards compass and straightedge constructions

[proven maple]

il check it out

do you need to specifiy cordinates and radius sizes of constructed circles

or can you not do constructions w a mouse

[agile fiber]

well you have to specify the coordinates of your start points, but past that you can specify circles/arcs and lines/segments from two given points as in a compass and straightedge constructions

it is entirely text based though as with any other tikz-based solution

[stuck tendon]

yo yo

[foggy meadow]

Apparently all skew matricies can be thought of as blades.
https://en.m.wikipedia.org/wiki/Skew-symmetric_matrix#Coordinate-free
I've been reading papers about it.

I really don't remember or know why adding the (-1)^{ij} works for making the exponential a det 1 matrix, but it does, so yay.

[storm sage]

ohh huh I need to look more into the matrix representations

[storm sage]

@zealous garden do you know about this stuff

[foggy meadow]

(Considering I like stumbled across it on my own partly, odds are no.)

I still use it for a type of physics related thing.

I have seen (-1)^ij used elsewhere to do something with wedges, and I think I have seen it applied to skew matrices.

[zealous garden]

What is that

[zealous garden]

What?

Specifically 2-blades or just general blades?

[foggy meadow]

I think 2 blades in general.

[zealous garden]

This seems to be referencing the use of bivectors

Hold on let me read it once more

[foggy meadow]

I did this a bunch on paper, and worked it out a tone.
Even the matrix version using tensor products.

[zealous garden]

I think blade is not required that looks like a general bivector thing

[foggy meadow]

Yes.

[zealous garden]

If this is what I think it is, you're looking at the action of the commutator product of bivectors with some other k-vector

There is no requirement of simplicity, but the commutator of a 2-vector and k-vector is always a k-vector

In the particular case that k=1, each bivector gives by commutator a linear transformation on V

You can additionally see this, roughly, as a sequence of 90 degree rotations

E.g. the non simple bivector e12 + e34 will have a commutator with e1 + e3 of e1 + e4, perhaps with my being off by a sign

so it has nothing to do with blade-hood

Furthermore, this means the bivectors form a closed subalgebra under the commutator product, this is called the Bivector Algebra

Finally, EVERY transformation/multivector in O(p,q)/Pin(p,q) is the image of the exponential of a BIVECTOR, potentially with some nonzero vector multiplied onto the image

In particular, everything in Spin+(p,q), the identity component of Spin, is just straight up the image of a bivector under the exponential map

Which includes all possible rotations

I'm not sure about how strict the correspondence in the other direction is (i.e. skew symmetric matrix -> bivector), but I'm sure there is one

[latent edge]

Geometric algebra.

[zealous garden]

There's another way you can turn a bivector into what is I believe a skew symmetric bilinear form?

[unborn trellis]

wraithlord getting woke

I see you have added the lie stuff to your arsenal

[zealous garden]

B(u,v)=u•B•v

Based ping

[foggy meadow]

I don't know if this will make sense.

But, like take two vectors in R^{4}, a and b.

So a ^ b will have 6 elements right?

[zealous garden]

I will be working on it

[zealous garden]

No, I think at most 5 nonzero components

[foggy meadow]

Okay.

[zealous garden]

Not sure about the limits, but you don't have 6 degrees of freedom in 2-blades

Because you can add two of them and end up with something that doesn't factorize

[foggy meadow]

(a,b,c,d,e,f)

[zealous garden]

E.g. e12+e34

[foggy meadow]

Cool?

[zealous garden]

So (1,0,0,0,0,0) and (0,0,0,1,0,0,0) are individually valid but can't be added

But yeah sure

[foggy meadow]

Okay cool so

[zealous garden]

Morally, 6 components to a bivector

But not every bivector is some a^b

[foggy meadow]

c = (a,b,c,d,e,f)

[zealous garden]

What about this map

[foggy meadow]

Sorry give me a moment.

[zealous garden]

Um wtf? Are you overloading c?

[foggy meadow]

c is a bi-vector in this case like a ^ b where a,b \in R^{4}.
c = (a,b,c,d,e,f)
You can make a matrix from c:
[[0, a, b, c],
[a, 0, d, e],
[b, d 0, f],
[c, e, f, 0]]

[foggy meadow]

Idk how to put this in math terms.

There's probably some math way to put this.

[zealous garden]

If you're still interested in an hour or two I may have the spare attention to rewrite it for you, otherwise keep trying and I'll eventually chime in

But a standard way is to use subscripts to avoid using a bunch of random letters, to avoid repeating letters, and to show that the quantities are related

E.g. C=(c_1,c_2,...)

[foggy meadow]

Yeah.

The issue is how do I put that in a nice matrix form.

[zealous garden]

My big issue is that there's not going to be a consistent way to correlate matrices and bivectors without choosing a basis

So I prefer to just use bivectors

But algebraically, we can't a priori distinguish vectors and bivectors

[foggy meadow]

In a computer I can't either.

[zealous garden]

You have to just decide (with some consistency related restrictions) which space is your vectors

As in, there are algebra automorphisms on (nearly) every GA of dimensions 2 or greater, that turns bivectors into vectors, or vice versa, and turns some vectors into mixed grade multivectors and shit like that

Therefore, the matrix representations can't actually tell you the difference without carrying extra information around somewhere

Like which set of matrices you choose to generate the algebra

[foggy meadow]

Yeah, which in a computer I can do that by knowing how I got to x.

[zealous garden]

The proper way to do this, imo, is to supply a grade projection operator

[latent edge]

Geometric algebra discussy

[zealous garden]

So a map $\langle\cdot\rangle_i:\bb G^{p,q,r}\to \Lambda^i \bR^{p,q,r}$

[fathom swallow]

wraithlord_koERICion

[zealous garden]

Naively, select the grade i part

Quite obvious

[neat lintel]

For those of you guys who got high gpas in undergrad math, how did you guys study?

[zealous garden]

You give me a multivector M and a natural K, and I give you the K-vector part of M

Using this you can extract the dot and wedge products, and about everything else

The grade selection operator is really the big extra piece of structure a GA carries over a standard Associative unital algebra imo

Like there's restrictions on the product, which allow you to tell if something is a clifford algebra even without determining a grading,

But WITHOUT a grading, you cannot retrieve the actual nature of the algebra

Like the universal properties relate to morphisms and embeddings of the VECTORSPACE

You cannot state what makes GAs unique without some way to specify what the vectors are

You can't properly map multivectors to linear transformations without a grading

You can't define general exterior and interior products without grading

You can't define like, any of the super common involutions in these algebras without the grading, in fact these are usually defined by using the universal property to extend basic maps on the (para)vectorspace

Like the main involution is the unique extension of the negation map on V, to the entirety of G(V,B)

The reversion is the unique extension of the identity map taking V in G(V,B), to V in G(V,B)^opp

Where the latter is the same algebra but with products reversed

So f(ab)=f(b)f(a)

Then there's the clifford conjugation, which is the extension of the negation map to the same

Basically every properly advanced text I see, starts out by proving that a construction exists which satisfies the universal property, then uses the universal property to start building out maps

Grade Selection usually gets imported through filtration of the tensor algebra, or by (linear) isomorphism to the exterior algebra, which is naturally N-graded instead of Z2-graded

I've seen sudgy do it by using the exterior and interior products to recreate the geometric product over the exterior algebra, then show algebra isomorphism

[foggy meadow]

I never read a book on the subject, so this is very interesting.

It also goes over my head quite a bit, I guess I should read a book on the subject properly.

[zealous garden]

I need to read far more books on the subject tbh

I've only actually read through 2, then a bunch of papers and skimming through some larger books

Currently trying to work my way through Rosen's book

[foggy meadow]

I again only have programmed stuff and watch a number of videos.
I have also seen a number of papers use them.

[zealous garden]

Have you heard of a spacetime split or projective split

[jaunty olive]

Hii

[earnest holly]

hello

[jaunty olive]

Wsuppp

[earnest holly]

nothing much, hbu?

[jaunty olive]

Exam on 13th and procrastinating

Prolly won't be able to study on 12th either bcz I have to submit some bs forms

[jaunty olive]

U study or work

[earnest holly]

study

[earnest holly]

ohkay i see

[jaunty olive]

Oh cool watchu study?

[earnest holly]

computer science

hbu?

[jaunty olive]

Same lol what year are you in?

[earnest holly]

sweet

first year

you ?

[untold cedar]

lol

[earnest holly]

whats that ?

[pearl tiger]

Hi I will be in college soon (2 months) and planning to take pure mathematics. I have a little olympiad exposure but not much. Any topics that I should prepare which might give an edge?

[untold cedar]

description of the role I'm applying for

[latent edge]

lmao

if shit is boring then no

[earnest holly]

wha role btw

[foggy meadow]

No why?

[ocean harbor]

which browser is best for blocking cookies? edge, google chrome, and safari sucks so far

im not sure if firefox is good

[sharp mulch]

Firefox

[ocean harbor]

alright

[zealous garden]

They're interesting GA based techniques that helped me see the nature of grade Selection and the algebra

[twin flicker]

ga = genetic algorithm?

[zealous garden]

Essentially, by choosing an invertible vector in some G^p,q; we can define isomorphisms from the even subalgebra G+^p,q, to G^p,q-1 and G^q,p-1, which we can then extend using the same vector to isomorphisms G^p,q->G^p,q and G^p,q->G^q+1,p-1

The difference depending on the sign of the square of the vector you chose

[zealous garden]

We can use these isomorphisms to import the naturally occurring grade selections from one algebra to the other (which you could perhaps then use to import the dot and wedge products as well, though I've seen no one do any of this)

[zealous garden]

Geometric Algebra

[zealous garden]

Lies

[zealous garden]

A: Falkon

Actually, just use lynx

My bad

Tor Browser and probably Konqueror will work

[zealous garden]

So this generally is a projective split, think of it as looking down a vector, and watching as other geometric objects change form

[ocean harbor]

will check those, thanks

[zealous garden]

The map is really easy to define, I can just take any vector I want, and left/right multiply/divide it onto any other vector I want. This sends the vectorspace to some subspace of the (scalars+bivectors)

Not sure how to say this in words right now actually hmm.

But let's say you choose a basis which contains the vector you want to split with, and call the vector you want to use to split $e_\alpha$

So the map $f:x\mapsto e_\alpha^{-1} x$ evaluates over the basis ${e_i}$ as

$e_\alpha \mapsto 1$

$e_i\mapsto \pm e_\alpha e_i$

[fathom swallow]

wraithlord_koERICion

[zealous garden]

So we can look at the images $f_i=(e_\alpha e_i)$ and see that the $f_i$ generate a clifford algebra, and generate the even subalgebra from whence they came

$f_i f_j = e_\alpha e_i e_\alpha e_j = - e_\alpha^2 e_i e_j = \mp e_{ij}$

[foggy meadow]

oh

[fathom swallow]

wraithlord_koERICion

[zealous garden]

So the f_i can grade the even subalgebra into products of the f_i

Putting e_\alpha back into this basis, it will also anti commute with the others, and generate the original algebra, but with a different grading

So for example, if you take the algebra of spacetime, say G^1,3; and take a 4-velocity t, then you can define a spacetime split; this 4-velocity is positive squaring so it will grade the even subalgebra as G^3, which looks like the Algebra of Physical Space

I'm not well studied enough to actually PROVE this following claim, but this split maps rotations in spacetime to their relative decomposition within the reference frame defined by the 4 velocity

E.g. the electromagnetic field into electric vector and magnetic bivector

[foggy meadow]

(This is like a lot when the only motivation I had was saying that if you can turn it into a rotation matrix. Basically, Wilson Loops/Nambu-Goto/Regge Caculus look similar in action.)

[zealous garden]

You stepped on my trap card sorry bud

[foggy meadow]

You're fine.

[zealous garden]

Anyways, something similar to this seems to me to be at play in clifford analysis and complex analysis

[timber canyon]

Our mom's got creamed so we could be here chatting 💔🥀🥀

[zealous garden]

Where we basically look at the original map f, keep in the scalars as a "vector" dimension

These scalars+vectors can be called paravectors if one wishes

So we map R^n into G^0,n-1

Using a map similar to the one defined above

And by transforming between functions defined to output in R^n and in G^0,n-1, we can extract complex/clifford analytic theorems

Geometrically, this whole process can be thought of as looking along the vector you use to define the split

As the vector itself disappears from view (scalar) and the bivectors that passed through it now look like regular lines

[foggy meadow]

Gosh I should read a book on this stuff.

[zealous garden]

I've only seen one reference that goes into this at all, and most of this aspect I think was either skipped by my reading or genuinely excluded by the author and I had to piece together myself what was going on

Like he talks about how it all works in C without explaining how it generalizes to higher dimensions, before just dropping the clifford cauchy integral formula and claiming it works

I eventually realized what was going on but it was quite unwritten

Now I do have this book, Geometric Multivector Analysis by Andreas Rosen, which seems like it might have the details I wanted

Claims to be Graduate level, begins with a recap of linear algebra that it asks you to skip, and starts with the exterior and Geometric Algebra stuff by universal property, the classy way

[zealous garden]

This reference was Introduction to Geometric Algebra and Geometric Calculus my Michael D. Taylor, it remains one of my more recommended and beloved books on the subject

[foggy meadow]

Why do you have the undergrad tag when like you goood at GA?

[zealous garden]

Aims for the undergraduate level

Some basic extrinsic smooth and orientable manifold stuff

Directed Integration on manifolds

Geometric Calculus on manifolds

The two sided fundamental theorem of geometric calculus and its special case, stokes theorem on differential forms

[zealous garden]

Because I don't consider my knowledge base either broad or detailed enough to see if they'll let me get a grad tag

[foggy meadow]

What about the GA tag?

Certainly that tag doesn't need graduate?

[zealous garden]

There is no GA tag

@storm sage what can we do about this

[cinder zephyr]

GA?

[zealous garden]

You know me by now spammy

Don't front

[foggy meadow]

Geometric Algebra -> GA.

[cinder zephyr]

oh geometric analysis

oh nvm geometric algebra

[zealous garden]

That too actually

[cinder zephyr]

y do u need tag?

actually hm who cares why u need

[zealous garden]

My Geometric Multivector Analysis book claims to be an into to Geometric Analysis

[cinder zephyr]

uhh do you have access to meta channels?

[zealous garden]

Oh yeah I do

[foggy meadow]

They're good at it and it should be a tag for sure.

[zealous garden]

Guess I could formally request it

[cinder zephyr]

make a suggestion there for tag

ya

[zealous garden]

Interest is growing and I get pinged for the topic being mentioned

[foggy meadow]

Yeah, the reason I might like it is due to nitchness.

[zealous garden]

Which makes me happy, ping me more @everyone

[foggy meadow]

braaa

[zealous garden]

Lmao

[storm sage]

I'm ngl we already have too many tags

maybe differential geometry is close enough

oh god you posted a lot

time to scroll through

[foggy meadow]

Time to see how dumb I am.

You should add that tag though, because it would be nice to at people that know this stuff.

Or at least know where to get help from those types. As I'm not sure if diff geo would 100% know or not.
(idk diff geo fully).

[storm sage]

you might be interested in #study-discussion it's specifically dedicated to talking about study advice and stuff

[wintry osprey]

apparently nmr testing (and MRI machines to an extent) use fourier transformation

[storm sage]

it's pretty overlapping

[zealous garden]

Interesting statement as I am not a differential geometer

[wooden falcon]

advanced algebra is probably fine

[zealous garden]

Yeah probably the best approximant

[foggy meadow]

Would they know what a wedge would be?

[zealous garden]

Most likely

[foggy meadow]

okay.

[zealous garden]

Exterior algebra is fairly standard material

So are clifford algebras at a certain point

Geometric Algebra also often involves a certain marriage of the materials

But I'd say it's a collection of advanced linear and abstract algebra, and applications to (tbf, mostly low dimensional) geometry, but particularly to the isometries of metric vectorspaces

[storm sage]

definitely lol

I also don't think the topic roles are very important, they're just vague vibes, they're not even pingable or anything

[zealous garden]

And some Lie Theory too

Whatever you want to classify that as

[zealous garden]

Exactly

[storm sage]

that could also potentially go to differential geometry

[zealous garden]

Where's my pinger role

[latent edge]

I think every math major should know some lie theory

[zealous garden]

I prefer truth theory ngl

[storm sage]

all stuff you touch upon in a first class on manifolds

[zealous garden]

What does manifolds=differential geometry or smth?

I thought diff geo was rather specific

Like Riemannian and Pseudoriemannian manifolds

[storm sage]

yeah

[foggy meadow]

I mean you see it around that definitely.

[storm sage]

that's true, you could call it diff top instead

but the metric is pretty impotrtant in GA

[zealous garden]

Yes that's what I was thinking

[zealous garden]

It is, but is it?

[storm sage]

we also have a metric geometry role

I don't know what metric geometry is but

[zealous garden]

Oh I need this

[storm sage]

it exists as a role here

[storm sage]

the topic roles are only for ppl with the postgraduate role

[alpine kindle]

https://youtu.be/7F_SJhS1OaQ

[zealous garden]

Metric Stuff instantly grabs my attention even when unrelated to GA, usually

The infinite dimensional stuff makes my skin crawl I can't lie

[storm sage]

for reasons that if they were available to everyone, people would just randomly grab every role and the roles would be kinda useless

[zealous garden]

AHHHHH

GAAHAHH

FUUU

[storm sage]

but also the topic roles are useless lol

[foggy meadow]

That's disappointing, and what I thought.

[zealous garden]

SO IS GA

Wait, is postgraduate not useless?

[foggy meadow]

So no Advanced Algebra roll?

[latent edge]

isnt wrait doing postgrad math anyway

[jagged forge]

i remember when they took the topic roles…

i was outraged

[storm sage]

it is pretty much useless but it gives access to a graduate lounge channel

[zealous garden]

Am i?

[storm sage]

where people just talk about careers and stuff

[latent edge]

yes

[foggy meadow]

You said you were.

[jagged forge]

so i spent 1.5 yrs grinding so i could give myself the probability role fr

[zealous garden]

Based

[storm sage]

meanwhile the middle schooler learning about pie charts giving themselves the probability role:

[agile fiber]

the trick is that once you apply to grad school you then do the second second application to discord grad school

[storm sage]

so true

[jagged forge]

i welcome them into the brotherhood

[latent edge]

nah suremark hella cracked at probability

[storm sage]

we're more selective than mit /s

[foggy meadow]

I need an emoji of like someone chewing on those letter blocks while drolling.

[latent edge]

i was gonna give myself functional anal, complex anal, rep theory besides NT but I just went with NT

[storm sage]

nah the application process is kinda just a vibe check bc otherwise a huge amount of middle schoolers just take the role without knowing what it is

it's kinda arbitrary but it is what it is

[zealous garden]

https://tenor.com/view/wardell-shocked-curry-warriors-chef-gif-15917300744573729358

[storm sage]

can't think of a better way to do it

[foggy meadow]

How if not post grad?

[storm sage]

wdym

[agile fiber]

brb going to ask #advanced-probability how to read a stem-and-leaf plot

[latent edge]

maybe as an application make the person give a talk on a topic

[zealous garden]

Based???

[foggy meadow]

How are "middle schoolers just taking the role"

[storm sage]

they fill out the application and we reject them

if there were no application they'd just have the role

[foggy meadow]

Ohhhh

[storm sage]

which is kinda annoying

[foggy meadow]

I didn't know there was an application.

[agile fiber]

you can select roles in onboarding and middle schoolers don't know what postgrad means so they assume it means "graduated from elementary school" or something

[storm sage]

okay I'll take yours away until you give me a talk

[foggy meadow]

You should give Wraith the roll though.

[storm sage]

there is but it's pretty barebones

just like

What type of math are you interested in? What's your educational background (optional)? What math papers/books have you read recently?

it's pretty trivial

[storm sage]

he can fill out the application if he wants, it's kinda grey what exactly counts

[foggy meadow]

Math, calc2 , Gourgoulhon, Eric - Special Relativity in General Frames and some others.

[foggy meadow]

He should honestly.

[storm sage]

🤷

[foggy meadow]

🤷‍♂️

[zealous garden]

Lmfao

[latent edge]

do u need to fill out an application to give talks in this server

[storm sage]

no just dm modmail

and the mods will be like

yea sure or no you suck we hate you

:P

[unborn meteor]

(2nd one only for me)

[latent edge]

i think i probably suck to some mods

[storm sage]

tbh they'll probably just let you give the talk but who knows

[unborn meteor]

what talk is this about

ANT applications in geometry dash and react hate?

[agile fiber]

and in the latter case you can present your grand unified theory of quantum mechanics and the riemann hypothesis directly to the good people of #520310614988685312

[unborn meteor]

if you have a TOE put it in #feet-discussion

[foggy meadow]

Why 2 + 2 is actualy 3.999999....

[unborn meteor]

or #april-fools-2022 as it's known now

[unborn meteor]

that's... never true unless you're using some kind of cursed floating point

it's not true in IEEE standard floating points

[foggy meadow]

Why is 9.99999... = 10 but not 3.999999.... != 4?

[unborn meteor]

oh wait

i thought you meant floating point inaccuracies

[foggy meadow]

No.

I'm glad you associate me with a programmer!

:^)

[unborn meteor]

i assume everyone is a programmer unless told otherwise /hj

[agile fiber]

always slightly cursed to remember that every single terminating decimal actually has two distinct decimal representations

[latent edge]

well

I'm a programmer sometimes

and sometimes a mathematician

cant find out until you see me

wait

[unborn meteor]

math is turing complete

[latent edge]

why this sounds like schrodinger cat nonsense

superposition between a programmer and a mathematician

[unborn meteor]

that's definitely you

[foggy meadow]

If it can be it will be both at once.

[unborn meteor]

and when measured you just do measure theory instead of collapsing

[true zinc]

I was

just about

to make this joke

dammit deltoid

[stuck tendon]

yo

i am back

what did i miss

[latent edge]

lmao

[warm umbra]

wow, where do I even begin

[stuck tendon]

can be from anywhere

[warm umbra]

Fine, let me quickly refresh my knowledge on the Ice Age

[stuck tendon]

neat

[warm umbra]

[granite hound]

How are folks in discussy 2 doing today?

[fresh comet]

good!

how about you?

[granite hound]

Very good

Just roasted up a ton of potatoes and mushrooms with some parmesan

Tasted fantastic

[fresh comet]

[granite hound]

People are arguing about health(?) in discussy 1

Looks like a stressful conversation to be a part of

[tight copper]

okay

[tight copper]

mail some to me

[tight copper]

Indeed

[granite hound]

Alright it's in the mail. 3 to 6 weeks 👍

[vernal iron]

Chat the mod role colour gradient is peak fr

[latent edge]

me when 🏳️‍⚧️

[vernal iron]

W

[granite hound]

Oh hey I got the Helpful role, that's nice :)

[shell vigil]

Congrats!

[shell vigil]

@solid gale a slight clarification:
When i said that you could evaluate the limit (trig function)/x separately, i meant you could if it was in the numerator. If it's in the denominator however, you need to evaluate the limit x/(trig function) instead.

[solid gale]

yup, I got that

[solid gale]

one more thing I wanted to ask, that in the approach one, why can't we consider it a 0/0 form instead -> (numerator and denominator both approach 0)? and then use LH rule -> which gives zero (wrong answer though)?

[shell vigil]

You can use lhopitals. Can you show me how you got zero with it?

[solid gale]

how about I reopen that channel and we discuss it there?

[shell vigil]

Ok

[umbral quail]

Hey Chinmay @solid gale we have the same name

[solid gale]

Yeah

Nice to meet you

[umbral quail]

Nice to meet you are you going to give ioqm?

[solid gale]

Yeah I will probably

[long matrix]

[vernal iron]

<@&268886789983436800>

[long matrix]

one deleted

both deleted

[vernal iron]

Like 3rd time I've seen that exact thing

Weird

[manic sierra]

Does anyone know whether set theory channel exist here in this server?

I can't find it

[limber thunder]

for basic set theory questions like showing properties of the subset relation or cartesian products try #proofs-and-logic
for more advanced stuff e.g. model theory try #foundations

[manic sierra]

Could u tell me which book will be great for beginners

Also for self study

@limber thunder

[solid snow]

https://richardhammack.github.io/BookOfProof/

@manic sierra

[manic sierra]

Thanks

Is it for beginners

[true zinc]

yes

[limber thunder]

yes seconding this rec, was busy earlier

[manic sierra]

It's good book thanks again @solid snow

[dreamy ore]

I HATE ALGEBRA

[neat lintel]

it is worm

[thorn wren]

so glad I don't do whatever this is

[neat lintel]

11th class conics

[thorn wren]

so glad I didn't go to school where ever they do ts

[neat lintel]

it is everywhere

[thorn wren]

uh no?

unless we're claiming I secretly didn't graduate high school, we don't do eccentricity or stupid formulas like that with it where I'm at

[neat lintel]

lucky man

[sick parrot]

sybau pngs

[ocean harbor]

they got it fast

[jaunty ibex]

Kenobi.

[frozen rock]

Star wars mentioned 💪

[old oak]

Yeah, it's rare for this obscure little show to get brought up

[frozen rock]

it's my life atp

[indigo idol]

That's algebra?

[fresh comet]

@indigo idol welcome to the mathcord!

[indigo idol]

thanks

[old oak]

https://m.youtube.com/watch?v=T0CpOYZZZW4 this is my favorite piece of star wars media

[frozen rock]

ew disney star wars

[manic fractal]

I don’t see any letters?

oh it’s the bottom nvm

[icy heron]

Stupid question: why isn't there anything preventing someone from simultaneously posting to 10 channels at a time? Surely only scammers do this?

[zealous garden]

because discord is a scam

[brittle socket]

Ew Word document

[craggy parcel]

better design decisions and discord are like pearls and swine

[tame bane]

Tomorrow

I graduate

[frozen rock]

WWWWWWWW

[narrow carbon]

Congratulations

[plush sapphire]

hello i need a help in presentation in optimistation using latex (paid) dm me

[storm sage]

we don't do paid services like that here

@radiant chasm are you in the penn undergraduate math society mailing list? if not, DM me your penn email address and I'll add you

there's also a discord server

[narrow carbon]

oh wow, discord server of penn undergraduates !!

these colorful names looks good, also the colors are moving

[dreamy ore]

its not word lol

[dreamy ore]

im not doing this for school

its a thing im doing for my own interest

[dreamy ore]

?? theyre everywhere?

[reef carbon]

@earnest sun so like what's this supposed to mean exactly

and why did you reply-ping to me with "hey bois"

[earnest sun]

sorry just joking around i am stressed so

[vernal iron]

that's no excuse ngl chat

[reef carbon]

k

[earnest sun]

so sorry if u got hurt

[earnest sun]

sorry bro

[reef carbon]

takes some balls (derogatory) calling a trans girl "bro"

[earnest sun]

sorry

[earnest sun]

i didnt see your bio

it was just random

[vernal iron]

that's what those little diamond icons are for

[earnest sun]

sorry please forgive me ann

[vernal iron]

luckily "bro" doesn't bother me too much at least

could be worse

[earnest sun]

i said sorry it was not intentional

[vernal iron]

nah you're good I get it

just be more careful in the future

[earnest sun]

then why she

[vernal iron]

?

[earnest sun]

not getting it

i said sorry many times

[reef carbon]

ok it's whatever

there's no need to fucking grovel about it 💀

[earnest sun]

we okkkk????

[reef carbon]

yes just be more normal around girls in the future lol

[junior veldt]

and people generally!

[earnest sun]

i need a study buddy for deep learning math

[vernal iron]

ok

go ask somewhere else

<@&268886789983436800> purposefully misgendering a trans person

can we get chat banned

actually disgusting

[earnest sun]

<@&268886789983436800> misleading @vernal iron

[vernal iron]

misleading? how

they can literally see deleted messages

[earnest sun]

u got a boi dp

[vernal iron]

dp? dynamic programming?

[earnest sun]

whatever

[earnest sun]

display pic

[vernal iron]

and?

[latent edge]

does that mean im a girl

[vernal iron]

I'm literally allowed to have whatever profile picture I want

[junior veldt]

I must be a nebula then

[earnest sun]

yeah mi boi

[vernal iron]

like what the fuck is wrong with you Shawn

[earnest sun]

my life got spoiled

[reef carbon]

...

[vernal iron]

okay?

don't take it out on other people

[earnest sun]

now i am spoiling others

[vernal iron]

why?

[reef carbon]

ok i walk away for all of FIVE MINUTES what the hell went on

[latent edge]

nice to meet u nebula im a vampire girl :3

[earnest sun]

life is not fair for everyone

[vernal iron]

😔 it was apparently on purpose

[reef carbon]

did mans actually misgender you now

[vernal iron]

yes

[reef carbon]

💀

[vernal iron]

unfortunately you as well

[earnest sun]

bois fighting

[reef carbon]

.....

what.

[vernal iron]

already pinged moderators role

[reef carbon]

who is fighting whom?

[earnest sun]

me too

[junior veldt]

hiiiiiii

idk if I have any blood for u but I guess my centre is red :3

[vernal iron]

could I DM you rq?

[earnest sun]

<@&268886789983436800> see @vernal iron

[earnest sun]

thats inappropriate

[reef carbon]

sure.

[vernal iron]

why? I'm not a lesbian so you cannot even read it in a gross way 💀 (replying to Shawn's latest message)

[junior veldt]

ok but are you bi tho 👀

[vernal iron]

aroace

[earnest sun]

well said boi

[junior veldt]

gotcha!

[vernal iron]

EDITED MESSAGE TO MISGENDER

actually kms

[junior veldt]

pfft

[earnest sun]

can i dm you

[reef carbon]

no.

[junior veldt]

it’s cute how determined you are to do this honestly

[tight copper]

Misgender moment

[reef carbon]

you're being mega weird for no reason. @earnest sun

[junior veldt]

don’t you have anything better to do?

[tight copper]

Bros locked in to do it

[earnest sun]

i said sorry

[vernal iron]

cute yes but wow it hurts (kind of my first time experiencing it)

[earnest sun]

i have to study ai

[reef carbon]

and then you kept going at it

[vernal iron]

go learn gradient descent brainrot

[junior veldt]

oh ofc, im not trying to deny the validity of your feelings here

[vernal iron]

you are walking all over me basically

[junior veldt]

I guess I just react to it a little differently

[junior veldt]

aaaaaa im sorry

[earnest sun]

i want to study but wasting my time here talking to bois

[vernal iron]

oops

MISREAD

misread who that reply was from

I am so sorry

I thought Shawn said that

I am so blind

[junior veldt]

pfft

[vernal iron]

and girls

[reef carbon]

seriously?

[earnest sun]

can i dm you i just want to know something

[vernal iron]

girl is gonna call her a slur or some crap calling it now

[reef carbon]

<@&268886789983436800> @earnest sun is insistent on calling several female/transfem users "bois"

[earnest sun]

yes

[tight copper]

bois is crazy atp

[vernal iron]

yeah

[tight copper]

smh

[junior veldt]

during pride month of all times too

[earnest sun]

its not intentional the dp of @vernal iron is misleading

[vernal iron]

dp standing for what?

[reef carbon]

you did it like 5 times after being told in various forms not to

[vernal iron]

chat that is a profile picture (pfp)

what is a dp

[earnest sun]

adenosine triphosphate

[tight copper]

dp 💀🥀🥀

[vernal iron]

true

[latent edge]

my boi she literally said the pfp doesn't matter and you doubled down, my boi

[earnest sun]

i have autism

[reef carbon]

so do i, we were clear enough about it.

[vernal iron]

I do too???? It isn't a fucking excuse

[earnest sun]

yes boi because i have autism boi

[latent edge]

wait till you know...

[vernal iron]

@latent edge got a 210 on the RAADS-R test

and he just gendered me correctly

[junior veldt]

im a neurotypical afaik

[solid snow]

now using autism as an excuse

weird...

[reef carbon]

autism isn't a fucking excuse to keep misgendering people after being told not to

[junior veldt]

Elon moment

[tight copper]

🥶 cold

sharp tho

[vernal iron]

yeah like, even if you cannot tell it is socially wrong, if you are told it is wrong you can stop doing it still

[solid snow]

autism is generally not a get out of jail free card just for future reference in your future social endeavors

[vernal iron]

true

[tight copper]

@earnest sun

[tall badge]

@earnest sun learn to not double down on misgendering. take a day off boi

[vernal iron]

can we ban him cause it was like 7 times

bro friend requested me 💀

[tight copper]

hope hell learn

[vernal iron]

gonna accept it I wanna see what he is gonna say

[tall badge]

no minimodding. we'll just see how he acts after the mute

[tight copper]

He also sent ne

Lmaooo

[vernal iron]

didn't intend for it to be minimod, it was more of a joke, sorry

[tight copper]

Should i accept

[solid snow]

nah just stop feeding attention

[tight copper]

Or should I treat him the way I treat everyone who friend req me but didnt give me a reason

[tight copper]

yea true ok

[latent edge]

tfw my friend request list

[junior veldt]

made that number 1 bigger :)

[tight copper]

@vernal iron

[latent edge]

not anymore

[vernal iron]

hi

[latent edge]

goal is to get 23 friend req

[junior veldt]

why does he sound like a bot

[latent edge]

for obvious reasons

[junior veldt]

birthday paradox…?

[vernal iron]

great question

[latent edge]

hint: fundamental theorem of arithmetic

[vernal iron]

"Came across your profile" my ass

[astral parcel]

hi

guys

[vernal iron]

because 23 is prime so the prime factorization is 1, 23, which is nice?

[astral parcel]

what are we talking abt

[latent edge]

motivic cohomology

[astral parcel]

boi what the hell

idk that stuff

imma dumbass

[latent edge]

boi

hmmmmmmmmmmmm

[astral parcel]

what

bro i thought it was gonna be easy math

[vernal iron]

someone just misgendered me and a few other girls/transfems using the term "boi" on purpose, a little on edge rn

[astral parcel]

wait sorry

[vernal iron]

it's all good

[astral parcel]

i didnt know

[vernal iron]

you're fine

[astral parcel]

if you dont mind me asking

whats your pronouns

[latent edge]

open the profile

[astral parcel]

oh yeah mb

there we go

alr so your a woman

[junior veldt]

*you’re

[astral parcel]

i dont have autocorredt

[vernal iron]

Indeed

[astral parcel]

ok mb i js call everyone boi

[tall ivy]

Hello

[astral parcel]

wsp

dude

[latent edge]

Do you happen to be learning deep learning too?

[tall ivy]

Im just chilling. Lowkey wondering about the SHawn beef tho

[astral parcel]

im in pre algebra rn

[vernal iron]

can we stop bringing it up please?

[astral parcel]

dude

what beef

did i js miss something

[tall ivy]

mb gang

[astral parcel]

because i js joined

[tall ivy]

me too

[vernal iron]

go and read chat if you want to know

[astral parcel]

oh alr

[tall ivy]

prolly not then too lazy

[astral parcel]

i aint reading that

[vernal iron]

kids these days 💀

[astral parcel]

hush

i scroll reels all day

[tall ivy]

Word bro. My laziness is so strong Im actually cooked

[astral parcel]

you got a problem with that

[vernal iron]

no lol

[astral parcel]

and guess whose on a 4 month break rn

me

not you

[astral parcel]

ik😿

[tall ivy]

wait summer break from school or...?

[astral parcel]

yeah i am on summer break

[vernal iron]

I am indeed taking a summer semester yes

[astral parcel]

why

[solid snow]

college shi get serious

[tall ivy]

lucky I end on the 24 and my summer classes start on the 23😭

[vernal iron]

for fun

[astral parcel]

school for fun

[vernal iron]

yes

[tall ivy]

Goated

[astral parcel]

wgt

why

bro how

[vernal iron]

when you specifically only do things you enjoy it is fun

I literally go to uni for only things I love doing

[tall ivy]

Yessir bro this is why we all hate highschool grad requirements

[lament peak]

https://fxtwitter.com/dailyshimeji/status/1933288743668207786

Daily Shimeji Simulation (@dailyshimeji)

**🔁 79 ❤️ 423 👁️ 3.0K **

FxTwitter · Jun 12, 2025, 10:22 PM

[junior veldt]

based

[astral parcel]

im not making it to college

[vernal iron]

don't give up lol

[latent edge]

another good wiwi post

[astral parcel]

imma kill myself before i get anywhere

[tall ivy]

what year are you?

[astral parcel]

imma 8th grader

[vernal iron]

it isn't worth it

[tall ivy]

Nooooo bro dont stuff yourself😭

[astral parcel]

imma do it soon i swear

[vernal iron]

if you say you're gonna do it it feels more like you're looking for attention ngl

but /shrug

[tall ivy]

YOOOOOOOO

[vernal iron]

if you truly are having suicidal thoughts tell an adult you trust

and maybe seek therapy or something Idk

[astral parcel]

...

[vernal iron]

but therapy is expensive

[astral parcel]

yeah

[tall ivy]

Just ask CHat gpt

trust

[astral parcel]

i have been

[vernal iron]

@latent edge this channel is as bad as discussy ngl

[astral parcel]

i make music

[latent edge]

in terms of badness this is 2nd

#math-discussion can get bad as well but im usually there just yapping about math

[lament peak]

badness 10000

[dreamy ore]

its algebraic manipulation yea

[latent edge]

i have a lot of questions

[dreamy ore]

ask away

[latent edge]

why are u doing this

[dreamy ore]

someone asked me a question and im trying to find the answer

[latent edge]

school?

[dreamy ore]

nope

[dreamy ore]

its also a question ive had for a qhile

[latent edge]

elaborate

without further context this seems like a waste of time idk

[jaunty ibex]

Aren't modular forms a waste of time too?

[vernal iron]

average Vero ragebait

[latent edge]

modular forms: exist
vero: waste of time

not liking modular forms is a very bad NT taste imo

[dreamy ore]

its about finding the figure of a planet

as seen from the earth

[latent edge]

oh physics

[dreamy ore]

geometry*

given a planet with an ellipsoidal shape

and the positions of the planet, sun, and earth

calculate what the planet will look like

no physics involved

[latent edge]

well geometry means something totally different from what u are refering to for me

@lament peak

[dreamy ore]

?

god why does everyone here have their head embedded 50 feet up their ass

[vernal iron]

Idk about others but for @latent edge it is a hatred for a lack of rigour + calculation + some brainrot I think

Idk though

[latent edge]

whuh

[latent edge]

I didn't mean anything bad

I just said what I consider geometry is different

from what you call geometry

[jaunty ibex]

It's physics lol you said "position"

[dreamy ore]

its just coordinate geometry its what everyone calls geometry

high school stuff

i dont get the point of u acting all elitist by saying "thats not what i consider geometry"

lmao

[jaunty ibex]

sure but you are applying it to solve a physical problem

[solid snow]

it involves zero actual physics

its akin to variable names for the objects referenced

[dreamy ore]

but its not physics

theres no forces or velocities or anything

[solid snow]

how is that sully