serious-discussion

[torpid bay]

ye

[latent edge]

yes if you've done stuff correctly you just apply k <-> sigma_k

then figure out what is being fixed

i basically explained like

70% of class field theory over Q

the remaining percentage is how you relate these things to splitting of prime numbers

[torpid bay]

like (1+i)(1-i)=2 thing?

[latent edge]

yup exactly

yeah so there is a theorem that says every abelian extension over Q lies in some cyclotomic extension

abelian here means the Galois group is abelian

you can also see in our example we had Q(sqrt(2))

we realized this as a node in the tower of fields in some cyclotomic extension

for Q(i) (the example you demostrated)

[foggy meadow]

Hi

[latent edge]

here's how you find which primes split

any prime p that gives you chi(p)=1, splits

for chi(p)=-1 this means it remains prime

and chi(p)=0 means it is ramified

this checks out since 5 = (2+i)(2-i) and chi(5) = 1 (when you take the correct Dirichlet character)

This kinda spoils which one lmao

this is going to be chi(1)=1,chi(3)=-1.chi(5)=1,chi(7)=-1

SO AGAIN realized over Q(zeta_8)

I wonder what's the last one

oh yeah we had Q(sqrt(2)) so Q(sqrt(-2)) should be there too

there we go

now we have them all

[torpid bay]

4 splits?

2,-,2,5,-5?

[latent edge]

4 is not a prime to begin with

[torpid bay]

i mean do 4 primes split?

why only 4?

[latent edge]

wdym

[torpid bay]

^ whats this mean?

[latent edge]

oh the last one says the following

so we have chi(3)=1 and chi(1)=1 right

[torpid bay]

ye

[latent edge]

this says primes p=1 mod 8 and p=3 mod 8 split

[foggy meadow]

I love when mathmaticians be like:

[latent edge]

I pulled the mighty lmfdb

,w (1-sqrt(-2))(1+sqrt(-2))

[fathom swallow]

Results provided by WolframAlpha

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

Requested by despairful_deltoid

[latent edge]

,w (2-sqrt(-2))(2+sqrt(-2))

[fathom swallow]

Results provided by WolframAlpha

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

Requested by despairful_deltoid

[latent edge]

nope not quite

,w (3-sqrt(-2))(3+sqrt(-2))

[fathom swallow]

Results provided by WolframAlpha

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

Requested by despairful_deltoid

[latent edge]

aha there we go

this checks out too

[torpid bay]

[latent edge]

what im saying is

if you look at 3 or 11 say in Z[sqrt(-2)]

These are no longer prime numbers

they split

3 = (1-sqrt(-2))(1+sqrt(-2))

for example

but things like 5 stays prime

the dirichlet character is clearly depicting this behaviour

It's like we are getting the same info in a different way

for this case we have chi(1)=chi(3)=1 so any p = 1 or 3 mod 8 should split

and indeed 3 and 11= 3 mod 8 splits

on the other hand chi(5)=-1 here is saying p = 5 mod 8 stay prime

you can try and see if you can factor 5

[torpid bay]

(2+i)(2-i) = 5

[latent edge]

in general you can't just test out random a+bsqrt(-2) to see but in this case it's fine since something called the ideal class group is trivial

[latent edge]

but i is not in Q(sqrt(-2))

[torpid bay]

hm

ah, ye, i would be irrational then

in the eyes of sqrt(-2)

[latent edge]

essentially you are trying to see when (a-bsqrt(-2))(a+bsqrt(-2)) = 5 right

for what a,b

in Z

[torpid bay]

ye

[latent edge]

okay now this is equiv to a^2+2b^2 = 5

but this has no solutions

[torpid bay]

[latent edge]

yeah ig if u dont care about splitting of primes think of these things as machinery to solve questions like these

is there any sol over Z of something like a^2+2b^2 = p

this result is saying yes if p=1 or 3 mod 8

[torpid bay]

that looks suspiciously like something else ive heard of

[latent edge]

diophantine equations

maybe?

[torpid bay]

y^2=x^3+bx or smthn

[latent edge]

ah

elliptic curves

yes there are other methods to go about these things

in general it's hard to solve a diophantine equation but number theory gives you nice set of tools to solve some

in fact before this was the method attempted to solve fermat's last theorem

keyword: attempted

you factor the equation over Z[zeta_n]

once again cyclotomic shenanigans enter

but the problem is the factorization is lying to you

in our case Z[sqrt(-2)] the factorization didnt lie

so we took things for granted and treated everything fine

but if your ring is not something called "unique factorization domain" you can't do that

this is why I mentioned ideal class group

If the ideal class group is trivial then you are good to go

to demonstrate this idea see that 6 = 2x3 = (1-sqrt(-5))(1+sqrt(-5)) in Q(sqrt(-5))

two different factorizations

it's not unique

[torpid bay]

[latent edge]

well obviously here you have to check if 2,3, (1-sqrt(-5), (1+sqrt(-5)) are irreducible

but they are trust me

idk do you think this is a feature or a curse

[torpid bay]

hm, im wondering if I have a certain Z extension, if both those can reduce into another set of smaller primes, and if that can always end up working out like thati n the end

[latent edge]

can you give me an example of what you are trying to say?

[torpid bay]

so like, just as we took 6 into 2,3, and 1-sqrt(-5),1+sqrt(-5), I was wondering if I can do something like

(ab)(cd) = (2)(3) = 6 = (1-sqrt(-5))(1+sqsrt(-5)) = (ac)(bd)

in some other Z extension

[latent edge]

ah so you want to shuffle stuff around freely with no troubles?

[torpid bay]

n-nno...

[latent edge]

ah wait you want to find some Z extension such that for example ab = (2) = (1-sqrt(-5))?

[torpid bay]

i did want to shuffle actually

[latent edge]

yeah for shuffling you have to be a bit careful

btw the way to fix this factorization issue such that you guarantee things are uniquely factorizable is by introducing ideals

[torpid bay]

left and right multiplication is no longer identical then?

do we lose associativity as well?

[latent edge]

no you dont lose associativity

multiplication is commutative too

you just lose unique factorization

[torpid bay]

mm

ig that's not the worst

[latent edge]

yeah

[torpid bay]

in a sense it may be thought of as a multivalued ness for prime factorization

i wonder if choosing a specific factorization will ever pop up as something important

just like choosing certain +c values when integrating can be important

[latent edge]

well they are useful in the following sense: they give you counterexamples of unique factorization

[sonic field]

water to enhance the flavor.

.

[latent edge]

I like this concept of factorization or not

i think this is a really good way to get into ring theory if you are into that

you learn how to fix this issue of unique factorization

well not fix

it's more like

you make something so that it becomes unique factorization

so instead of working with regular numbers

you work with that thing

it's guaranteed to be always uniquely factorizable

but if it happens that things are fine and you can uniquely factorize normally then you drop that

[torpid bay]

I should really stop procrastinating on working thru real analysis huh

this stuff is so much more interesting

[latent edge]

yeah real anal can be tedious

You can try reading through this book

https://link.springer.com/book/10.1007/978-3-319-90233-3

It's fairly beginner-friendly compared to other sources

[torpid bay]

$\zeta(3)\approx\frac{\pi^3}{6\sqrt{15}}\sqrt{\zeta(2)-\frac{5}{6}}$

[fathom swallow]

Yeatte

[latent edge]

tfw yeatte starts studying class field theory soon

I can see it happening lmao

[foggy meadow]

Yeah, then they can stop talking to me about random equations that look neat.

[torpid bay]

oh that remidns me

a more continuous limit for glashier kinkelin constant

[latent edge]

lol not really

you learn more of these things anyway

[foggy meadow]

What from?

[latent edge]

idk you guys remind me of myself

I did similar things

[foggy meadow]

Like?

[latent edge]

playing around with special functions

finding special identities

computing random integrals that turn out to have the zeta function as part of the answer

[foggy meadow]

Yeah, but did you do a lot of finite stuff, and complex finite math?
Or do a lot with cellular automata?

[latent edge]

sure but not CA

I got into that recently thanks to speedy

[torpid bay]

that reminds me

I forget the actual name for it

[foggy meadow]

Yeah, I tend to like finite stuff a lot more. A lot of this stuff you talk about is mostly like "what."
So, I'm going down the road of geometric algebra stuff mostly.

[latent edge]

holy shit we got another one turning into wraith

@zealous garden you should be proud

[foggy meadow]

Yeah, I asked people to recommend me books to buy when I had money for it.

[torpid bay]

wedge product is nifty

[foggy meadow]

Also, I imagine these special functions in like different dimensions too.
Not just the complex plain.
My main interest is in the n-dimensional versions of them and like looking at them from different angles too.

[gritty heath]

This book was nice but traumatizing

Half the text was exercises haha

And its just hard

[latent edge]

the actual learning comes in the exercises

[gritty heath]

Yeah it does, a lot of the content is fresh in the exercises

[torpid bay]

$e^{\partial_x} = T_x$ but what about $e^{\omega_x} = \partial_x$, it does give some cool stuff actually

[fathom swallow]

Yeatte

[torpid bay]

$\omega_x(x)=-x\ln(xe^{\gamma-1})$

[fathom swallow]

Yeatte

[torpid bay]

anyway, ill look over the class field theory some more tmrw

[foggy meadow]

What's the nDeltoid x Wraith + Speedy?

That might be a goal to be.

[timid bronze]

LMAOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO

[snow ice]

technically water COULD enhance the flavor if its mineral water

:D

but I'm definitely getting ahead of myself and just being annoying

[snow ice]

LOL

[onyx reef]

@ancient lance How's SNU delhis mathematics?

[ancient lance]

Depends on what you want to do honestly

Like pure or applied maths ?

[onyx reef]

pure

[ancient lance]

So they're revamping the syallabus, I'll clarify and get back to you in a bit

I'll also get the prospectus?

[onyx reef]

Alright, thank you!

[onyx reef]

what's that

[ancient lance]

like course outline and all that

[onyx reef]

Ah

yeah that'd be nice too

[ancient lance]

Like this course in this year

[onyx reef]

Though I mostly wanna know what kind of opportunities might exist there for someone who has self studied some of the stuff

[ancient lance]

You can do research under a prof from year 2

In year 1 (for obvious reasons) they don't allow that officially

[onyx reef]

I see

[timid bronze]

I don’t even wanna check any of my professors’ syllabuses

I know they’ll piss me off

[ancient lance]

😭

[timid bronze]

I’ll save that for when I actually start classes ☺️ let me not ruin my break

[ancient lance]

okay, so like this will be the outline, I'll figure out if I can send the rest of the doc or not in a bit

[ancient lance]

I want my break to end 🥀

5 more days, my god

[timid bronze]

Ragebait

[ancient lance]

no

seriously

[timid bronze]

Not falling for the bait.

[onyx reef]

real analysis year 2?

what's the CCC stuff

how are the elective options btw

[ancient lance]

Basically 1.5 credit courses ( except for evs ), which are half a semester long

They are offered by professors and not the dept so they can change every semester

[ancient lance]

I'll send a list of electives In a bit? ( Eating rn)

[vivid halo]

this is very stupid

[vivid halo]

every Feynman integral in QFT:

@latent edge https://arxiv.org/abs/1704.06996

insane paper

good lord

[foggy meadow]

Hi nG.

[vivid halo]

howdy

[ancient lance]

Yes, unfortunately

[ancient lance]

Pretty nice, if you're capable they will waive pre-requisites easily

[foggy meadow]

How goes the math?

Well I'm glad nG is doing well.

[turbid sedge]

https://tenor.com/view/ai-baby-gloving-light-gloves-ai-gif-7483258751371484589

[vivid halo]

going good

[rose ridge]

Degloving

https://tenor.com/view/ishowspeed-speed-scared-holding-breath-terrified-gif-5049853410287167077

[foggy meadow]

What's something you've done recently?

or like found interesting besides like QED?

[ancient lance]

@onyx reef shoudl I send a list of some of the elctives offered in the past?

[vivid halo]

yeah loads

[foggy meadow]

Anything you think I'd be interested in?

Or understand really more so.

[vivid halo]

probably not

although I can certainly recommend some things which are more of a starting point than jumping straight in where I am lol

[foggy meadow]

I mean I'm reading slowly through stuff quite a bit already with Linear Algebra and some Electro-Magnetics. I'm not sure I'd probably get into fully. I work pretty slowly on stuff.

[onyx reef]

Take your time I'm kinda busy rn too :)

[ancient lance]

okay, so you can take PhD courses, but those aren't recommended ( obviously)

These are the undegraduate courses that are elective ( 600 is masters level I think, though we don't have a MSc anymore)

@onyx reef

Uh, there are a bunch of PhD courses you can take too, I can share if you want

[neat lintel]

can someone help me

[ancient lance]

#❓how-to-get-help

😭

[onyx reef]

Yooo nice

[onyx reef]

Yayayaya functional analysis

[onyx reef]

oooo

(doubt I can get that much self study done before uni anyway 💀)

[viral oracle]

<@&268886789983436800> random server ad?

[ancient lance]

Should I?

[onyx reef]

Is it fine if I ask you for course details on specific ones every once in a while?

(friend me if you don't mind)

[ancient lance]

Sure, I'll send detailed course description then ?

[ancient lance]

done

[tropic pivot]

nice talk going one.

but 20 mins ago.

[onyx reef]

Ty!

[rigid geyser]

Is there a way to get discord to stop showing suggested channels

Besides temporarily clearing

[pulsar remnant]

oh damn, I'm doing course selection rn lol (for context im going back to college for personal reasons)

[ancient lance]

Lol, i select my electives for the upcoming semester myself in 2 days

[pulsar remnant]

a have a notebook from a year ago and I have no idea how I knew the stuff I knew, even though like, I saw what people talk about here it doesn't even come close im like dumb in comparison

[ancient lance]

I feel the same at times 😭

[pure hollow]

I forget what I did a few seconds ago.

[ancient lance]

😭

[silk walrus]

nut

[neat lintel]

which is the hardest course?

also, could u send ur phd courses? that'd be fun

[zealous garden]

BASED

[zealous garden]

https://tenor.com/view/polymerization-yugioh-yugioh-duel-monsters-snake-hair-dragon-zombie-gif-10185278818646273629

[timid bronze]

@jagged forge

[near lava]

hello

[foggy meadow]

Yeah pretty much

https://www.youtube.com/watch?v=jmys2abx4co

[fallen mango]

theyre all spies sent by the government to monitor us.

[timid bronze]

@deep mango

[deep mango]

hi

[timid bronze]

Are you feeling better

[deep mango]

pretty good

we can play something for a bit if you want

[timid bronze]

Yes.

When

Can you play

[deep mango]

in a few minutes, just finishing a bit of another game

[timid bronze]

Ok ping me when you’re ready

[snow ice]

good day mathcord

[ocean robin]

[fresh comet]

[ocean robin]

[nocturne tusk]

WAKE UP

[quartz skiff]

no

i shall remain in my everlasting slumber

until the goddess finally wakes me up

[ancient lance]

Will do

[ancient lance]

Probably Ra 2 unless i get metric spaces

[ancient lance]

Needless to say, these aren't offered every year

[brave flare]

Geomtery

[ancient lance]

hmm?

[brave flare]

MAT834

[rigid geyser]

it says geomtery

[ancient lance]

click it 😭
It's toplogy and geometry

[brave flare]

geomtery

[ancient lance]

oh

lol

[patent phoenix]

Hi I need someone’s help

I would like to create a cloud of points that is deterministic and would like a way to do that

Any creative ideas?

[icy heron]

A PRNG is deterministic, just set the seed explicitly

[cyan karma]

Some ideas

1. you could download free 3D assets and turn them into points
2. PRNG for a distribution
3. Literally basic shapes like planes or cubes

Installing Blender could help

[patent phoenix]

I was hoping the point clouds would turn out non-i.i.d.

[quartz skiff]

"a cloud of points that is deterministic" sounds like a function whose domain is a finite set and codomain is R² or R³

[patent phoenix]

I’m looking for ways to generate deterministic point clouds that are not i.i.d. ideally coming from a structured generative process

[cyan karma]

I don't know how the concept of pseudo random numbers and i.i.d. relates to each other so Ill be quiet now and wait for other responses

[pure sapphire]

Who? Beyonce?

[pure sapphire]

I want to make a feline based conlang

[quartz skiff]

durga

[patent phoenix]

Thank you regardless for looking at my question 🙂

[neat lintel]

you could take some of them as well, doesn't feel too different from the previous list

[ancient lance]

I need to do courses from the previous list to graduate:(

[patent phoenix]

@pure sapphire did u like Carl sagans book ‘comet’

[vivid halo]

Carl Sigma

[snow ice]

,tex \int_{0}^{67} 1 ,dx

[fathom swallow]

Disunantivirus
Compile Error! Click the reaction for more information.
(You may edit your message to recompile.)

[tropic pivot]

are you allowed to teach the students?

[ancient lance]

I'm in year 2 😭

of MY UG

[tropic pivot]

you're not doing PhD?

okay.

[neat lintel]

:(( all the very best

[ancient lance]

TQ!

I do plan on doing PhD courses if I have the credits to spare

[torpid jackal]

Good day fellow geniuses.

[dawn crescent]

a

[last rose]

[deep mango]

@long matrix whats urs

[long matrix]

wrong server or what 🤡

<@&268886789983436800> sus link

they typed this out 🤡

[deep mango]

LOL

[long matrix]

ryc tryna get me hacked

[deep mango]

no i thought it was real

but good job spotting it

i didnt click it

[long matrix]

u clicked?

[deep mango]

i dont have a virus

[long matrix]

🤡

[deep mango]

hush twerp

[thorn wren]

Ryc is not positive

[deep mango]

This is true...

[young fern]

So we're making sht up up now 🥀

[hexed tangle]

Yes that is meant to be a joke related to making shit up

[night matrix]

Ts looks like the most obvious scam

[half matrix]

@shut thunder replacing ln n with ln∣n∣ loses the imaginary part here

so definitely not

[shut thunder]

thats where it came from

[shut thunder]

For complex numbers, quite unusual to use n as your variable but the idea remains.

[half matrix]

Right, that's exactly why you shouldn't replace ln n with ln |n|

You would lose solutions if you did

[serene vault]

https://tenor.com/view/fox-gif-24544794

[valid mica]

[serene vault]

go back to the other side

[ocean robin]

foxes are the best :3

[serene vault]

https://tenor.com/view/fox-foxes-cute-snow-poke-gif-9290384749482771871

[serene vault]

https://tenor.com/view/fox-gif-24544794

[viral oracle]

https://tenor.com/view/cat-hello-cat-peek-cat-door-cat-peek-door-gif-17361470248875227911

[last rose]

hello hanako

[viral oracle]

hi there pure

[ocean robin]

EEEEEEEEE I LOVE THIS VIDEO

[last rose]

cute fox

cox

https://tenor.com/view/fox-let-me-in-clawing-at-door-knocking-at-door-waiting-at-door-gif-10636413725109957056

[serene vault]

cute!

https://tenor.com/view/fox-gif-25805627

[last rose]

https://tenor.com/view/goodnight-sleepy-fox-sleepy-fox-renard-gif-786996961980740176

https://tenor.com/view/fox-gif-25500376

[sterile linden]

https://tenor.com/view/fox-cute-snow-gif-17016275113173743177

[last rose]

https://tenor.com/view/fox-yawn-sleepy-stretch-tired-gif-7466713571686967390

[serene vault]

so many fox 🦊

[vocal vessel]

Get him back in this server 😡

[last rose]

i'm trying

[plush citrus]

Hi Guys. I need help and i need a person that is very good at math and at explaining. I am in 8th grade and i am bad at math. I am not the best at math but i wanna be cause i am interested in math. I wanted to ask if someone can give tipps how to get better at math?

[ocean harbor]

practice is key

[vivid parrot]

Hiii

[unreal flume]

practice

Thomas Edison once said: I have not failed. I've just found 10,000 ways that won't work.

[wooden dock]

Hello!

[cyan karma]

Compile error. Laugh at this user

[stray knot]

Chrollo spotted

[young fern]

Is the first 1 real

[patent phoenix]

One of the most important things is your mentality. If you think you’re bad at math, you’ll always be bad at math. Math is learnable, intuitive, logical, and it makes sense at every single stage because it was literally made to make sense of stuff. Other than that just practice a whole bunch

[tame knot]

only when you think you are bad at math can you make progress

[last rose]

[zealous garden]

intuitive
makes sense at every single stage
Lies

You can't pretend that some ideas and break throughs don't just come out of left field, or that even if the idea didn't that you'll have an exposition that does the work to take an intuitive or sensible route, supposing one exists

[patent phoenix]

I’d have to disagree on the basis that if math was not intuitive and did not make sense, it first off would not have been made and second off it would not pose to be a solution to the problem it sought to solve in the first place

Obviously group theory won’t make sense to an elementary schooler but with the right upbringing it can make sense to them in college

[viral yew]

help me count to 100000

1

2

3

ok someone else go

[viral yew]

aww man

you know what I forgot what comes after 3

[neat lintel]

does anyone know if I'm allowed to post a google form survey that I'm using for a math assignment? It's about fashion shows and follower counts, and it's for a statistics project, but I know it could be considered self-advertising sooo....

[zealous garden]

Those reasons don't actually make sense

[silent junco]

you are not, sorry

[neat lintel]

thanks! :)

[zealous garden]

if it would not have been intuitive it would not have been made
Yeah, cus I could never possibly just stumble upon some truth and not be sure of why it makes sense

[patent phoenix]

I mean first off those are edge cases and cannot be used to categorize the entirety of math as being this mysterious unintuitive confusing discipline that literally everyone uses to gatekeep it from others

Second off it doesn’t matter that you “stumbled upon a truth” because oftentimes you do so by looking at other intuitive forms of math that makes sense and finding something in those

This idea that math is beyond comprehension is so false because if it wasn’t then it wouldn’t be math, math is literally made to make things in the world make sense to humans, and maybe to fully know all the math we need to know to make sense of the universe, we need an even higher brain, which in that case it wouldn’t be math and would be something else entirely

[silent junco]

but... the hard questions (edge cases) are the ones that remain unsolved

[patent phoenix]

And unsolved questions do not represent math as a whole

You can’t give the Collatz conjecture to a math PhD student and tell them because they didn’t solve this they aren’t doing math

[silent junco]

what do you think phd students do

[patent phoenix]

Either solve unresolved shi or push a known field even further

I get that but that isn’t that I’m saying

[zealous garden]

I didn't categorize the entirety of math as anything at all, you did and I pointed out it wasn't true

Reread the convo

My entire point is you made a sweeping general statement that was false because of these other cases

Not that these other cases are all there is, or even the meat and potatoes

And I completely reject your notions of limiting math to human understanding

That's absolutely nonsense

Human understanding can't even be rigorously quantified, defined, and limited in the first place

Firstly what is a human, and secondly what is understanding

Thirdly should we take the combination to somehow be more than the sum of the two words

These are ultimately very hairy and very irrelevant concerns

[patent phoenix]

All my point boils down to is that math is intuitive and makes sense. This is just true. If it doesn’t for someone that means they haven’t internalized the concepts or the underlying logic takes a while to understand.

Why is this true? Because it was made to understand how stuff works in the universe, and uncover the deepest truths about regular things. So if it did not make sense, it did not serve its purpose. If someone finds some relationship between two mathematical objects without a proof, then under regular mathematics, a proof must be made that proves this relationship. Proofs are the ways of making math understandable and intuitive, and so yes, for any mathematical thing without a proof, it’s unintuitive and not understandable, but notice that the prerequisite for it to pass in the math world is that it must have proof

[zealous garden]

If it takes a while to understand; it, by definition, is not intuitive

[patent phoenix]

I disagree I think something can be intuitive but one may not have the ability to make the connections because the topics are not natural, like id argue linear algebra is really intuitive but it’d take a while to explain to a 6 year old

[zealous garden]

There's no "I disagree". This is definitions

If you disagree then you are refusing to speak English

[patent phoenix]

How are these questions

[zealous garden]

Answer them if you think they're so obvious

[patent phoenix]

I disagree with that too because you’ve disagreed with me the entire time while arguing about the epistemology of humanity

[zealous garden]

proof takes decades for someone to understand
but it's simple and intuitive cus I have a proof

Galois theory is just algebra fr, you're right

I did ts in middle school

Thanks

[patent phoenix]

A human is the biological definition of a human and understanding is pretty much being able to recall and convey the ideas either to yourself or another being

[zealous garden]

"The definition is the definition", you weaseled out of a very hairy question very quickly

I asked you to answer, not defer

What is your understanding of the idea you're trying to convey

[patent phoenix]

Dude ok: 4
What Makes Us Human? 11 Important Features
Biologically, a human is a member of the species Homo sapiens, a highly adaptable primate characterized by bipedalism (walking upright), a large brain relative to body size, reduced body hair, and complex cognitive abilities like abstract reasoning, language, and tool use, all stemming from our evolutionary lineage within the great ape family (Hominidae).

Googles andwer

[silent junco]

i dont really agree with your reasoning here. like yes its true you can eventually make sense of something thats initially unintuitive. you could also convince yourself the sky is green if you spent enough time thinking about it. that has nothing to do with the "purpose of mathematics".

[zealous garden]

So we aren't humans?

[patent phoenix]

I mean I walk upright I like to think I have a large brain relative to body size not that much body hair I guess?? And I mean compared to an ant I can reason complex things

Idk abt u tho

[zealous garden]

The modern "human" is homo sapiens sapiens, twice. Homo sapiens is technically a separate species, much like homo habilis, homo erectus, homo denisovan, homo neandertalis, ...

None of which are humans by your definition

There's also the issue of further human evolution

[zealous garden]

How about you attack ideas and not people

[zealous garden]

At what point do we stop being humans

And how across the wide spectrum of humanity, do you define the bounds of human intelligence and understanding

[patent phoenix]

I mean we aren’t arguing the purpose of mathematics I’m just saying its not healthy to think of math as just being wizardry when in reality its complicated but not otherworldly

[zealous garden]

Can a human possess non human understanding? If not, what is the limit of our species for you to meaningfully postulate what lies beyond

[zealous garden]

No one is arguing this strawman

[patent phoenix]

Im not attacking u it was a attempt at being funny 🫩

[zealous garden]

no you don't get it, I called you stupid as a joke

[patent phoenix]

Ok that’s what I’ve been saying then 😭 have a good day bro

[zealous garden]

Homie is about as consistent as my shit (I need to see a doctor)

[timid bronze]

Suffer because they're broker than us undergrads sadly ;-;

[silent junco]

these are all very vague terms but thats not what you initially said. you said that "math is intuitive and makes sense at every stage because it was made to make sense of stuff". im arguing that truth in math has nothing to do with what math was "made to do", and that you can make sense of literally anything under the right conditions, so your claim is meaningless.

[half matrix]

mathematical truth is not grounded in what math was made for, but in what logically follows once the system is defined

[steel scaffold]

smbdy say smth interesting here discussy 1 sucks rn

[patent phoenix]

Ok we can agree to disagree then because the fundamental ideas behind our claims are not aligned

[rigid geyser]

Real analysis has tons of things that are not intuitive whatsoever
...

[patent phoenix]

Speaking from experience that is extremely false

[rigid geyser]

And yet mathematicians of the pasts were misled by their intuition many times

[steel scaffold]

i feel like this is true for any subject

[rigid geyser]

Quite possibly yeah

[rocky shuttle]

Huh?

[neat lintel]

What have you discovered archimedes v2

[cyan karma]

They also had the disadvantage of knowing like 2 people who were smart and educated cuz their town was like 1000 people large and most smart people were only uneducated peasants

Unfortunate

Then the library of Alexandria burnt down "DOH"

Then they had like 2 opinions to learn from

and no one questioned the greek sources for centuries

[timid bronze]

@deep mango

[sonic field]

ugh module 2 has 7 chapters

😭

[timid bronze]

Cooked

[sonic field]

i'm glad these knowledge checks are relatively easy. this class a lot more involved than i thought it would be.

[timid bronze]

Now it’s your turn to write a “your syllabus pmo” email

[latent edge]

tfw I have to do a safety test for chemical hazards for a math teaching position

Hilarious shit

I'm totally teaching the kids how to play with fire that's why

[foggy meadow]

Hi Rakko!

[sonic field]

it's fine for what it is. i was hoping the course would be more technical, right now it's not

[timid bronze]

DO YOU THINK I WAS DUDAZZ SUGGESTING YOU WRITE AN EMAIL LIKE THAT

[sonic field]

well we gotta tell them what's what

[timid bronze]

Then you can show your true self and write the left

[latent edge]

many such cases

[sonic field]

smh

[timid bronze]

LMAOOOOOOOOOOOOOOOOOO

[latent edge]

tfw people complete the safety quizzes and still get in troubles in the chem lab

[foggy meadow]

You're bald?

[latent edge]

ok maybe I shouldn't laugh cuz a prof literally passed away because of a student's mistake

[foggy meadow]

Fair.

[dapper badge]

baldter

[timid bronze]

I feel like my gen chem 2 professor would write an email like that back

He is the funniest person ever

😭

It's ok, @velvet dagger and @jagged forge are also balding

[jagged forge]

nope

[timid bronze]

Check again

[jagged forge]

u wish we were

for ur narrative

[timid bronze]

Ok, amukh will be serving you fried chicken tenders dipped in melted chocolate for breakfest tomorrow

@solar hawk

[latent edge]

aim for the rock build when you get there

[solar hawk]

LMAO

[timid bronze]

How was your first day back at school

Did you work on your project lil bro

[sonic field]

cities are, systems of systems. having proper pipelines to keep these cities organized is paramount to proper functioning.

and we need governance, to some degree, to help the cities remain sustainable because of population growth

[latent edge]

My friend is bald af he likes to shave fully and damn he has some good muscles

[deep mango]

sorry im hanging out with temu colby rn

[timid bronze]

It's oki

Wait

Who tf is Temu Colby

Is this D3

BRO

[deep mango]

No

different huzz

[timid bronze]

SETTLE ON A GUY ALREADY ;-;

[deep mango]

we're watching anime

[timid bronze]

Ok cute

[timid bronze]

Smh

One day Colby will be taken from you

[deep mango]

Ill tell you about about temu colby soon

[timid bronze]

Ok

[deep mango]

its sort of complicated

[latent edge]

goated anime

[deep mango]

Its so crazy

The fucking aira mom shit was nuts

[latent edge]

lmfao

[deep mango]

thats what we just finished

[latent edge]

wait till you get the soccer player spirit

hilarious shit

[timid bronze]

Do you take notes in the class

People who don't take notes are my op

[deep mango]

WHY IS AIRA ALSO INTO OKARUN

[timid bronze]

How da hell you retaining 🖕

[deep mango]

btw the fucking intro is crack

[sonic field]

kinda

[deep mango]

Unskippable

[latent edge]

yeah

[latent edge]

Aira or momo fan?

[neat lintel]

Your professors don’t post the lecture notes online?

[latent edge]

Some do

Some don't

They expect you to write stuff down in lectures

[sonic field]

this class is for a certification so no lecture notes exactly

[latent edge]

One of my professors told us to do 30 exercises a week

That was something

[steep hollow]

Morning everyoneeee

[latent edge]

hi

[steep hollow]

How was Christmas/winter break ?

I go to school on Thursday

[latent edge]

it was fine

school started today

it was great

i think throughout I was just sick of being at home the whole break lmao

[steep hollow]

Oh lovely

[solar hawk]

;-;

[steep hollow]

Ahhhrrgghhh me too 😭

[solar hawk]

school is pushing a pillow down on my face

I didn’t even work on the project at all

[steep hollow]

I wasn’t sick all winter break but my dad got me sick

[solar hawk]

Cuz of all the stuff I had to do

[steep hollow]

Oof I think I relate to that

Cuz I missed a month of school but

I’ll see how things go Thursday

[solar hawk]

[timid bronze]

Lock in

[timid bronze]

Welcome to mathcordd

[timid bronze]

Welcome to mathcord

[silent junco]

Welcome to mathcord

[timid bronze]

He's not welcomed

[sonic field]

YEAH AMUKH

IF I CAN DO MY HW YOU CAN TOO

[silent junco]

what happened to sleighla help channel

[viral oracle]

killed by a random Helpful

[zealous garden]

welcome to wraithlord

[deep mango]

Momo so far but we shall see

[timid bronze]

ryc are you done now.

[deep mango]

I relate to momo

Yes

[timid bronze]

YAY

[deep mango]

sure

[timid bronze]

Can we play

[deep mango]

ya lemme just get home

TC left

[timid bronze]

Ok ping me once you're ready

[deep mango]

TC is so

just

sigh

[timid bronze]

You're going to have to tell me the tea over playing

[deep mango]

i was actually gonna say chopped 😭

[timid bronze]

WHAT

How is he c hopped

Is it bcz he's bald

[deep mango]

hes only temu colby

for a reason

[timid bronze]

I don't eevn remember if you showed me a pic of Colby or not 😭

I think you did

[latent edge]

aira and momo beef is the best thing

[timid bronze]

Well

[deep mango]

idk

[timid bronze]

If you think he's chopped why you going out with him

[deep mango]

i have them

[timid bronze]

🥀

[deep mango]

dude temu colby is not colby

[latent edge]

cant believe mfs literally made a soccer episode like what lmao

[timid bronze]

I KNOW

[latent edge]

WE HAVE FIFA IN DANDADAN BEFORE GTA 6

[deep mango]

Look what i bought this bitch

The least he could do is like

Nevermind.

sorry

[timid bronze]

What

[silent junco]

is that the same place you took me

[timid bronze]

is that

[latent edge]

wtf is this

[timid bronze]

???

ryc and rays meeting up?

[silent junco]

like a month ago yeah

[timid bronze]

Omgsie

[timid bronze]

That looks like a brownie and egg infused into an expired apple cinnamon pie

[jagged forge]

looks delicious

[timid bronze]

WAHT even is it

[jagged forge]

whatever it is

[timid bronze]

I can't tell

[silent junco]

its a cookie???

[timid bronze]

What

Why does that cookie look so thick

[jagged forge]

maybe marshmallow? idk

[deep mango]

No

[timid bronze]

ryc can we meet up

[deep mango]

Brownie cookie half and smores cookie half

[jagged forge]

omg i was right

[deep mango]

Sure... i will meet up with anyone who is an adult

[timid bronze]

No, you copied me

[deep mango]

I.e. not amukh yet

[jagged forge]

girl u said egg and apple pie

[timid bronze]

Ok, I'll help you pick gifts for Colby and Temu Colby

[deep mango]

Anyway i split my cookies in half for TC and he didnt eat any

[timid bronze]

I SAID BROWNIES TOO

[deep mango]

Dude im not dating TC

He just like

[timid bronze]

I'm ragebaiting you

[deep mango]

Wanted to come over and watch anime

And sit in silence with me

On the other side of the couch

Not touching at all

[timid bronze]

Ok wait that's crazy

[deep mango]

Despite the fact that we met on a GAY DATING APP

!??!?!

[timid bronze]

lMFAO

[silent junco]

this is the kind of thing thats nice when youre married for 10+ years

not a first date

[deep mango]

One time i directly texted to him "you have to tell me if you want me to make any advances because im not going to make you uncomfortable" and he just ignored it and switched topic

Its his loss honestly

Im like 9001x more a catch than TC

But he has a beautiful behind so i will tolerate it

(Also hes my friend by now)

But this was pretty sad the first time

[timid bronze]

Also since when did you say "girl"

[silent junco]

people who ignore direct questions and switch topic annoy me. especially when they do it poorly. some people have a natural playful charisma that lets them do it effectively, others dont

[timid bronze]

Am I teaching suremark

[jagged forge]

oh the NERVE

[timid bronze]

WHAT DID I FUCKING DO

[timid bronze]

.

[sonic field]

right? ally's nintendo head

[timid bronze]

Crazy

[jagged forge]

im ngl i dont know what this expression means

but i agree 👍

[sonic field]

it's exactly what it sounds like. her overly cooked burria head had the nerve to trip bout teachin girly

[deep mango]

Yeah i think tbh this is supposed to be a "yes please make advances on me" but i am absolutely under no circumstances enabling that shit. CONSENT IS HOT.

[timid bronze]

What's an example of someone effectively doing it

[tender tulip]

Discussy 2 is popping off

What if I do my textbook in vc so I am peer pressured to actually work on it

hi rays how you doing bbg

[timid bronze]

All he knows is beer and cheese, so it's good I teach him a thing or two

[deep mango]

Ik hes the kind of person who would prefer to not really be asked and i do not care

[jagged forge]

ugh

[silent junco]

its hard to describe but i have a friend who does it really well. one of her tactics is acting really stupid as if she was born yesterday. and everyone falls for it, they just believe shes actually like that.

[sonic field]

dw i got a worse reputation 🤣

[deep mango]

Body language responds but words dont, but words do respond in a way which enables them to respond in a way which allows you to then segue back

[silent junco]

hiii im bedrotting

i decided to speedrun the rest of brezis this week

[deep mango]

Lots of strategies but i do this stuff a lot

[tender tulip]

Same actually I have my copy of the textbook on my bed but this part is so ass I cannot get myself to do it

[silent junco]

real

[tender tulip]

I might read through Brezis without doing the exercises and come back to doing it

My paper copy is in my dorm rn tho

[silent junco]

yeah might be a solid strat

[tender tulip]

I usually suck when not doing exercises tho

More than I do generally

[silent junco]

i do fine but i get bored

[sonic field]

i got one more chapter in this module. but idk if i can do it tonight. i'm gettin tired and i gotta cook this meatloaf

[tender tulip]

Opencry taking over image031 again

[silent junco]

:image031:

[tender tulip]

PID (Pain In the Dick) module

(E.g. whatever the fuck the quotient fundamental decomposition bs is)

[sonic field]

-sigh-

u no wut nah i'ma save it till tmrw

[tender tulip]

@silent junco I might go on vc in a bit to actually be productive hopefully

[silent junco]

hmm i might maybe join you, no promises

i hate discord its sapping the life out of me

i need to be more like valley and chipotle

and suremark

[deep mango]

@timid bronze im here will just need to grab tea in a minute

[timid bronze]

Ok.

[timid bronze]

suremark is always on Discord

Wdym

;-;

[silent junco]

oh well i dont really see him

[deep mango]

im going to freak

[timid bronze]

He is employed but always on @jagged forge 😂

[jagged forge]

smh i actually was locked in today yk

[timid bronze]

@formal wadi Yah tell that freak ryc that he don season his bland ahh chicken

[jagged forge]

i put it on do not disturb during the day

[timid bronze]

YAY CONGRATS

[deep mango]

Umm he was actually congratulating me for making the final 3 of the survivor game

My real bestie

[timid bronze]

Yay congrats

😂

Jk YAY CONGRATS

[deep mango]

thanks.

[timid bronze]

What's with the attitude

[deep mango]

but i may still lose

[deep mango]

jk THANKS!!!

anyway my tea is here

[timid bronze]

Ok

[tropic pivot]

is that floor table or plate?

[deep mango]

Its a plate on a table

[tropic pivot]

i was confusing it with some bowl too.

[formal wadi]

@deep mango You made bland ahh chicken

?

[deep mango]

!?!?!

No

[timid bronze]

HE DID

[sonic field]

ryc gettin taht full hate wave 🤣

[tropic pivot]

why?

[sonic field]

i have no idea

[deep mango]

Success breeds jealousy

[tropic pivot]

i like rice.

[last rose]

a hit blud

[tropic pivot]

Hello sir. have we met yet?

Cooly?

[last rose]

indeed

[radiant cave]

Hello

[tropic pivot]

https://tenor.com/view/igor-yes-master-gif-10075997

[turbid sedge]

https://tenor.com/view/chicken-scream-tree-rooster-screaming-gif-14660175817695268947

[vivid halo]

wait until you see the struture theory for finitely generated modules over Noetherian rings more generally

[ancient lance]

This sounds like a fun course IMO
Youth, Class and Mobility

Course Summary
This course examines the complex intersections of youth, social class, and mobility in post-
millennial era. It begins by asking, who is a youth? As there is no universally agreed upon
definition for youth, we begin by exploring youth as a cultural category. We work with a set
of following questions. How do young people from diverse backgrounds navigate the
promises and perils of neoliberalism, education, digital cultures and global flows? Does
education promise a stable employment to youth? How does education, migration and skilling
transform the dreams and aspirations of contemporary youth? How is class embodied and
occupied by young people? Does their self-fashioning intersect with caste, class, gender,
language and region to produce vastly different life trajectories? Through an interdisciplinary
lens combining anthropology, sociology, and cultural studies, we will critically analyse
aspirations, stalled futures, and new forms of inequality. The course challenges students to
rethink concepts of agency, structure, and social change in rapid societal transformations.

Shame the grading would kill me

[vivid halo]

Course description for Bitching and Moaning 302

[tropic pivot]

that's how we blend it and drink it and understand the concept.

[vivid halo]

literally me all of 2025

[restive salmon]

I wonder if it tastes like paper

[hexed tangle]

It's the taste of knowledge

[restive salmon]

[zealous garden]

This is how I feel when reading Hall

[hexed tangle]

Lmfao isn't it less abstract than Bourbaki/Humphreys tho

[zealous garden]

Less abstract? Why would I want that

[latent edge]

mfs when they complain about nice things

[latent edge]

Basically nG

[latent edge]

Ngl you had me in the second word

Thought it was class field theory

[vivid parrot]

Hiii8

Guys

I need some help

🙂

@latent edge

[ornate sierra]

hello

bon appetit

ciao

[vivid parrot]

Hii

Bro can u help me to improve in mathematics I am in grade 9

[wraith rose]

Hii

[wraith rose]

What do you need help with??

[ancient lance]

LMAO

[neon whale]

Hello chat

[tame knot]

hi bro

[tame knot]

i recommend you do rd shwarma

[vivid parrot]

Okkk

Sirr

I suck at marhs

Maths

[hardy storm]

Hello!

[vivid parrot]

Hi

[hardy storm]

Sup bro.

[vivid parrot]

Good wbu

[hardy storm]

I am just procratinating maths

[vivid parrot]

Oh

[hardy storm]

I got exam in April.

[vivid parrot]

Ohh

[hardy storm]

And I don't feel scared at all, ig that's what's making me procratinate

[vivid parrot]

Damn coop

Cool

[hardy storm]

It's not at all.

I know I need to study, but procrastinate

😭😭

[vivid parrot]

Lolllll

[hardy storm]

ohh.

What about you?

[fresh berry]

js study bro

hop off discord

and try to understand stuff

[hardy storm]

I am.

[fresh berry]

ight

good

[hardy storm]

Thanks anyways.

[fresh berry]

np

[neon whale]

K, I need to review, because I'm forgetting all my precalculus book

[turbid sedge]

hi fiscussy 2

[oak forge]

How good is Stewart's book

[tame knot]

good

the pointers in integration really help

the advices he gives between theory

[oak forge]

I have it now

[ocean cedar]

😋 real stuff twin

[woven sail]

@restive salmon

[restive salmon]

So weird that there is literally this here without slowmode but everyone isstill at #discussion

[woven sail]

Idk why either

It makes sense just cause it’s where everyone else is congregated

[restive salmon]

Yea

[fresh comet]

inertia is quite strong

[foggy jetty]

i lost the game

[small dust]

hi may

[woven sail]

Hey Layla

How it go

[small dust]

it go ok other than no bf

[woven sail]

Real 😔

[small dust]

[green stream]

how do you get someone angry guys think about it?

[stoic marlin]

Rage bait

[green stream]

yes

like is this rage bait?

[silent junco]

not the place, sorry

[green stream]

gnna cry to daddy and mommy

[green stream]

what was it

?

[silent junco]

idk

some petition i think

[green stream]

ok

u think 18+ site?

@silent junco

can i get banned for pixel art in here?

[stoic marlin]

Idk depends on the individual

That how they take it

[green stream]

this?

@stoic marlin

or is it still ok?

i just deleted it

[silent junco]

depends on the art

[green stream]

alr lemme get one rq

@silent junco

is this to much?

[silent junco]

oh thats what you meant

too spammy yeah

[green stream]

a k

and this?

⠀⠀⡔⠉⠑⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⠋⠉⠉⠓⡆⠀⠀
⠀⣸⠁⠀⠀⠀⠙⢦⡀⢸⡉⠓⠲⣄⡀⢀⡞⠀⠀⠀⠀⣀⣽⡤⠀
⠀⡇⠀⠀⠀⠀⠀⠀⠙⣦⠷⠄⠀⠀⠙⠞⠀⠀⠀⠀⠀⠒⠚⡏⠁
⠀⡇⠀⠀⠀⠀⣀⣀⡚⠓⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀
⠀⡇⠀⠀⠀⡎⠀⠀⠈⡆⠀⠀⠀⠀⠘⢄⣀⣀⡀⠀⠀⠀⣸⠁⠀
⠀⠈⣇⠀⠐⡶⠖⣲⣶⡆⠀⠀⠀⠀⣶⣶⡒⠲⡒⠀⢀⡼⠁⠀⠀
⠰⣖⠺⠧⢸⠁⠀⣿⣿⠇⠀⠀⠀⠀⣿⣿⠇⠀⡇⠀⠉⣩⠇⠀⠀
⠀⠈⣳⠀⣨⢃⠀⠈⠉⠀⠒⠂⠀⠀⠈⠁⢀⠄⡡⠀⢼⡁⠀⠀⠀
⠀⢰⣃⣈⣀⠁⠀⠀⠀⠦⠔⠓⠲⡲⠃⠀⠀⢈⣀⣀⣀⣹⡄⠀⠀
⠀⠀⠀⠀⠀⠉⢳⠲⠤⢄⣀⣀⣀⣠⢶⠒⣏⠉⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⣳⠒⢲⠋⢱⠤⠧⠚⠋⠘⡆⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠘⠓⡆⠈⠒⠁⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣼⣁⣀⣀⣀⣀⣀⣀⣀⣀⣀⡇⠀⠀⠀⠀⠀⠀

@silent junco

[silent junco]

thats fine probably

[green stream]

alr

[tacit lagoon]

hi

[tender tulip]

I have seen that awfulness and thankfully I’m not doing algebra

[tender tulip]

@thorn wren

[green stream]

ok

[vivid halo]

thankfully

[tender tulip]

I’m doing engineering bs that will never be applicable to the real world

[vivid halo]

[cyan karma]

When I fuck up thousands of people will make calls to the company I work for and possibly not be able to do so because I broke their telephone

[tender tulip]

Neuromechanics

[cyan karma]

slightly different stakes

[cyan karma]

What is it about

[tender tulip]

Engi grad student

So I’m still working through stuff

Technically a grad student

[cyan karma]

Working on what topic

[tender tulip]

Classical (continuum) mechanics

[vivid halo]

quantum mechanics soon

[rocky shuttle]

Where are you at?

[tender tulip]

Penn State for UG

[rocky shuttle]

I mean in continuum mechanics

[tender tulip]

I’ve taken two QMech courses that are required for my major and are giga stupid in how much they cover for a second year course

[tender tulip]

I took two courses (one of which covered rational thermodynamics) though I am currently reading through two of Marsden’s books to get caught up before applying for PhD

[rocky shuttle]

https://tenor.com/view/leon-clayton-marchand-megamind-gphvnk-hydramane-gif-21594371

[tender tulip]

I’ve said this before

[silent junco]

hello :3

[magic python]

:3

[rocky shuttle]

Yeah, you told me before, I think, but which topic are you on currently?

[vivid halo]

yeah a lot of this standard content is kind of a lot

[rocky shuttle]

hewwo :3

[silent junco]

i have to take more engineering courses because my dumbass decided to double major instead of just changing it

but i think my engineering courses are leagues easier than whatever miz is doing

all his homework problems look cursed

[rocky shuttle]

what do you cover?

[silent junco]

most of them are more applied than theoretical. i think the most theoretical a course has been for me was sigproc

[rocky shuttle]

im also curious about the applied ones

and what is usually covered by engineers at a higher level in general

[silent junco]

some optimization things, embedded systems design, hpc stuff, dsp chip design, vlsi things in the sigproc direction. in the cybersecurity direction its like malware analysis, cryptographic hardware (this one im really interested in), hardware oriented security and trust

[rocky shuttle]

(especially how broad or in-depth it is)

[silent junco]

i mean most of my courses arent super comprehensive because at some point youre kinda expected to be able to pick things up on your own as needed. like theres a zoo of engineering tools and techniques at your disposal, and theyre constantly becoming obsolete and reimagined. so really the goal (as far as i can tell) is to train you to have the theoretical fundamentals and the practical experience to be able to find and apply tools as needed.

[rocky shuttle]

I see

[silent junco]

as far as depth goes, i dont actually think theres a lot of depth to computer engineering compared to other fields (disregarding the theoretical cs side of things, which is basically not covered at all in my degree)

im quite excited to learn about some of these things, but i cant really imagine giving up math at any point of my life

[rocky shuttle]

Thanks for the insight!

[bitter folio]

What’s a good resource to study precalculus (textbooks,youtube channels,professors ,whatever)

[rocky shuttle]

I also do not want to give up on math, which is the main reason why I still consider staying in academia ig

[rocky shuttle]

also, for example, what is the furthest covered in your optimization courses?

[tender tulip]

Banach Differentiability (higher order Frechet stuff) and Manifolds

From Abraham Marsden

[tender tulip]

Wrong :p

[silent junco]

i think its quite beautiful to pursue something you love in the face of uncertainty. that said, i hope to have a solid exit strategy by the time i hit grad school

[tender tulip]

my engi courses even at the grad level are pretty pee pee easy

Except for the quantum course which I had to teach half the students about complex inner product spaces, vector duals and shit because the prof expected us to know it even when my uni’s background for math is subpar

[silent junco]

some lagrangian/cov stuff, optimal control theory, convex optimization

[tender tulip]

WAYY more advanced than mine

Rays you realize you’re pretty far ahead of me right lol

[silent junco]

??? its literally the opposite

[tender tulip]

I had the background (func anal) but the problem is the prof expected all of us (engi majors) to have it (we did not)

[silent junco]

also its not like these courses give a rigorous treatment of anything

[tender tulip]

Well we do different things too

[silent junco]

yeah true

[tender tulip]

I’m more mechanics-centric

[silent junco]

im gonna try to finish brezis within the next couple of weeks

[latent edge]

sigh the way analysis is done in my university makes me want to die

the algebra is great though

[tender tulip]

Classical mechanics for rigid bodies is nice theoretically (phrasing) but is nightmarish

[tender tulip]

Peak, way ahead of me

[silent junco]

physics scares me

[tender tulip]

I’m working through Marsden rn and I’m going to review Brezis later but I’m also taking a course using Brezis anyway

[latent edge]

me every time I touch nG's langlands stuff

[tender tulip]

And the prof is extremely focused on Sobolev stuff so that’s what I need

[silent junco]

peak

[silent junco]

are you ever going to get into opalg stuff

[tender tulip]

For funsies prob

I wanted to take the C* alg course but it conflicted with a required course for my major

[silent junco]

sad

[latent edge]

many such cases

[tender tulip]

I want to know about C* rep stuff for gits and shiggles

[latent edge]

I literally don't care about C* algebra (for now)

[tender tulip]

I’m a pure engi major who lingers in the math grad department like a zit

[silent junco]

hahaha same

well not really now

[tender tulip]

https://tenor.com/view/doohickey-corporation's-headquarters-kitchen-apparatus-robert-helpmann-glaggleland-invention-gif-3932338748077700773

[latent edge]

lmao i was the same till I switched

[tender tulip]

I am going to be the only UG and the only engi major in a small Functional Analysis and Diff Geo course

This is gonna be interesting

Separate courses

[silent junco]

youll mog all the grad students lmfao

[dapper badge]

I wish I took more physics

[tender tulip]

Probably not

I am rusty with topo

very rusty

For the cohomology stuff I should be good

One other prof offered to let me take the algebraic topo course in case the nonlinear elasticity course shits the bed

Really annoying that I don’t know if it has given courses start on monday

[tender tulip]

What’s your schedule for next sem

[rocky shuttle]

ah, okay, that's nice

[rocky shuttle]

you mean differentiability of functions between Banach spaces, right?

[tender tulip]

In the Banach setting ye :3