serious-discussion

[zealous garden]

trying is a good opportunity to grow

[burnt dune]

i still have a looong way ahead

im not a math major

yet

im a third year cs

once im done i should do a masters and get rec letters and shit

but hey

im learning new cool stuff in both cs and math

so life is great

[tender tulip]

THis is a formal sum, correct

[deep mango]

Yes

[untold sage]

Wikipedia is actually such a good resource for learning math

[burnt dune]

yes

cuz math is symbol pushing

u do not need any opinions

u just need the right definitions

hehe

[tender tulip]

what exactly is the homomorphism then

[deep mango]

what do you mean

it sends a simplex to a thing which is like a collection of all its boundary pieces

a signed collection with multiplicity, you could say

(so that things cancel like we want them to)

i don't really understand how to explain the particular choice of alternating signs though

besides like "i know why it makes del^2 = 0"

[tender tulip]

I was trying to construct an exact sequence of sorts out of free abelian groups on simplicies

kinda got lost

decided to look at a few papers and wikipedia

[deep mango]

well

the point of homology is to measure how non-exact the sequence is

[tender tulip]

I don't really give a fuck about the homologies at the given moment

[deep mango]

it's exact if you're considering simplices in a space without holes

or like

other nasty things

[tender tulip]

I'm considering purely R^n rn

[burnt dune]

hey yo

[deep mango]

oh ok

[burnt dune]

can u expand on that

i know exact sequences

[tender tulip]

htf would you even define one outside of R

[burnt dune]

and the homology group is ker/im

thats it

and basic point-set

oh

lmao

if hom group is trivial

then its exact

iff?

[deep mango]

the homology of a chain complex is the quotients of the kernels to the images, an exact sequence is one where the kernels are always the images.

yeah

[tender tulip]

I just wanted to find a practical example of an exact sequence and I realized oh shit what if I somehow work with simplicies, their boundaries are n-1 simplicies

[burnt dune]

does this have a topollogical analogue

i know point-set

[tender tulip]

but I can't quite find a way to put a "group structure" on em

[deep mango]

sure. in terms of manifolds, exactness corresponds to being able to fill in the insides of n-simplices and homology measures how badly you fail to do that

[tender tulip]

I mean I guess you can consider Hom(X,S(n)) for like the nth simplex out of some topological space but that seems messy to compute

[deep mango]

so like, free parts of your homology groups tell you that there's holes you can't fill in, and torsion parts tells you that you would need to do a twisty to fill in some simplices

[dapper badge]

what is it you want to put a group structure on?

[deep mango]

usually the group structure is the very nasty "consider the abelian group on all the possible simplices as generators"

this gives you what's called the "singular chain complex"

so like

[tender tulip]

oh jesus

[deep mango]

you literally just consider each simplex as a symbol and then you add them together

[tender tulip]

it's what I'm looking for tho

[tender tulip]

... so the free abelian group i mentioned

[deep mango]

yea

[tender tulip]

though I don't like them cuz they're annoying to construct symbolically

[deep mango]

the thing i took issue with was the "exact sequence" part

but you're right that it's exact in R^n

[tender tulip]

same with free groups generally

idk how you can even DEFINE a simplex outside of R^n without somehow calling reference to it

[deep mango]

yeah this is very infinite dimensional and so it's nice that there turn out to be many ways of doing this that get you the same things you want

[deep mango]

you embed it in topologically

like

you map from simplex to your space

i don't even think it needs to be embedded

just a continuous function is fine

and then what you consider is formal sums of those maps

[deep mango]

this is the REAL singular chain complex

the singular chain complex of R^n consists of maps of simplices into R^n, not just simplices in R^n

so those can be all bendy and fucked up

[tender tulip]

hm

[gray snow]

broo

how long does it usually take for you guys to come up with medium difficulty proof

[tender tulip]

So a formal sum on Hom(S(n),X)

Then what’s the boundary morphism on these sums

[gray snow]

bro help

[tender tulip]

what

[gray snow]

this

[tender tulip]

no clue

depends

[gray snow]

ok

give example

[deep mango]

It's the one you posted. It acts on a single simplex by giving you the restrictions of maps to each face, and then summing them in the right way with the right signs.

It acts on a linear combination of simplices linearly.

[sick burrow]

my god there are a lot of active help channels

[mint patio]

Do undergraduate advisors actually know anything about the field they're in

Maybe dumb question but I don't have a lot of faith in my uni's advisors lol

[wild lantern]

This probably depends on your uni

At my cc they had no background in my major besides access to the catalog reqs and stuff

At my uni they're usually professors in the dept

[onyx idol]

If you hit two balls based on the resonance of the strings and the resonance is odd then what happens to the balls?

[compact tartan]

about a medium amount of time

[fading tusk]

medium proofs are 7 minutes more or less, give or take

[mint canopy]

I find the idea that you'd start with the idea of a "medium difficulty" proof and from there derive the time

Surely you would define what a medium-difficulty proof is in terms of the time taken

I don't think there is anything close to a universal idea of what a medium-difficulty proof is

It really just depends on what you've done and what you're talking about.

[tender tulip]

Is there any special properties which define the complex numbers up to isomorphism.

[mint canopy]

It is the unique algebraically closed field of characteristic 0 with cardinality of the continuum, if I remember correctly.

[tender tulip]

... so bijective to R

[bright hill]

Just wait till you learn about R^n

[surreal sapphire]

sets of the same cardinality are in bijection, yes

the statement is still correct

[mint canopy]

Can I ask why you reacted?

Did I say something incorrect, or do you just not like the fact?

[tender tulip]

I was not expecting to see cardinality of R lol

[mint canopy]

Ah, so you just don't like the fact.

Well yes, C is a bit gross algebraically tbh.

[surreal sapphire]

well, C has the cardinality of R...

[mint canopy]

What's much nicer is A, the set of algebraic numbers, which is just the algebraic closure of Q. It's countable!

[mint canopy]

Please read #❓how-to-get-help

It's funny to see your reactions to this Mizalign lol

[tender tulip]

I was not expecting that either, frankly

[mint canopy]

https://twitter.com/CihanPostsThms/status/1556306144632733696?s=20&t=q4LoAaVaCwFjYELts2aITg

Some theorems (@CihanPostsThms)

[Steinitz 1910]: Up to isomorphism, there is exactly one algebraically closed field with prescribed uncountable cardinality and characteristic.

For example the algebraic closure of ℂ(t) is isomorphic to ℂ.

Likes

158

Twitter · Aug 7, 2022, 3:47 PM

[odd narwhal]

Counterpoint: Gal(Q)

[mint canopy]

Here's another "cursed" fact

Gotta say ShiN I don't see what you're saying?

[tender tulip]

what in god's name is a projective variety

[odd narwhal]

The absolute galois group of R is much nicer than the absolute galois group of Q. Mostly a joke tho since the problem lies more in Q than Q bar

[mint canopy]

Oh right fair

[tender tulip]

Affine varieties are I guess understandable, idk why we need affine spaces for em.

[surreal sapphire]

they live there

[mint canopy]

A projective variety is a variety on the projective plane, i.e. the set of solutions of some polynomial equation*, but on the projective rather than affine plane.

*the polynomial equation must satisfy some requirements in order to be well-defined on the projective plane

[tender tulip]

Also isn't every affine space with a vector space isomorphic to every other one via some translation

[mint canopy]

Yes

There is only one affine n-space

(on some field)

[odd narwhal]

"affine space" here means something different than linear algebra

Like, it just means k^n

[tender tulip]

????

o h

[odd narwhal]

It's an unfortunate name

[surreal sapphire]

affine space you forget the vector space structure

[mint canopy]

We think of affine space as like, forgetting the basepoint.

[tender tulip]

that's how I view it aswell

[mint canopy]

Yup

[neon tundra]

Isn't it more that Gal(R) is unusually simple?

[odd narwhal]

A^n= V(0)

[tender tulip]

I sorta view it like vectors without labels, you can only "label" vectors between them

[odd narwhal]

Gal(F_p) is also not that bad. Q just has so.many holes

[tender tulip]

I don't understand projective spaces, but I haven't really seen them yet

[odd narwhal]

Too many holes

[mint canopy]

We're not really interested in affine space so much as the varieties within it.

Projective space is affine space but better behaved sometimes

[surreal sapphire]

projective is the algebrogeometric replacement of compactness

[mint canopy]

Wise

[surreal sapphire]

its just a niceness property

see e.g. bezouts theorem

[mint canopy]

It is very convenient when establishing some correspondences as well

[tender tulip]

This all started when I realized that prime ideals are kinda epic in the case of poly rings, and I wanted to look more into it

[surreal sapphire]

it all started when i was born at a very young age...

[tender tulip]

otherwise they just seem like they're given the "prime" label just so you can define a closed-topology on them

[mint canopy]

hmmm

[odd narwhal]

Prime ideals are called prime because they behave like prime.numbers

[mint canopy]

^

Idk what you're saying exactly, Miz

[odd narwhal]

(prime numbers and multiples of prime numbers)

[severe swallow]

I never thought I'd see the word nice in a mention of intersection theory

[tender tulip]

yeah I was gonna ask if you meant prime ideals in Z

brb

[odd narwhal]

No

Prime ideals in Z are literally mutliples of prime numbers

[tender tulip]

cats just spilled something

[surreal sapphire]

ideals are the better numbers

and prime ideals are just primes

[odd narwhal]

Prime ideals in general are meant to capture this idea

[odd narwhal]

When u only care about ideals unique factorisation is much easier

Algebraic number theory more like ideal theory

[surreal sapphire]

they are named like that probably because the first rings studied were all dedekind and this is the correct mental image there

ideals were originally called "ideal numbers"

[surreal sapphire]

i dont know if this is useful, but this is definitely a misrepresentation

[tender tulip]

at least that's how I saw them

[surreal sapphire]

your view of mathematics is not good

[mint canopy]

The whole fact that we look at the spectrum of a ring instead of the affine space is less to do with how it's just neat how there's a topology on them, and more to do with the fact that somehow, there's information missing in affine space (for most rings)

[surreal sapphire]

so maybe try not to make general statements about the subject

[mint canopy]

Loch is being very direct lol, but yes I must say that's a very short-sighted view of what's happening

[tender tulip]

I "found" prime ideals on my own by accident when trying to define topologies on posets, and then adding an operation on them. Turns out ideals and ideals multiplication form this. The problem is that it isn't useful

I was specifically looking for topologies to see what properties they would have

but there's much more to it I want to find out

[surreal sapphire]

read a book on algebraic geometry

depending on your algebra background this takes multiple years

[tender tulip]

I'm going to.

[mint canopy]

https://www.mathematik.uni-kl.de/~gathmann/en/alggeom.php

Here is a book I think is good

[tender tulip]

let (S,<,+) be a partially ordered semigroup such that x + y < x and x + y < y.

[odd narwhal]

Nice thing is that you can also reconstruct a commutative ring from its spectrum so you're not losing any information

[tender tulip]

that's fucking AWESOME

[severe swallow]

don't forget the sheaf tho

[mint canopy]

baby steps

[odd narwhal]

The sheaf is implied

[severe swallow]

I mean, just looking at the topological space without it does in fact lose information

[odd narwhal]

Ok sure

[severe swallow]

I figured mizalign probably didnt know

[odd narwhal]

You're right

When I think of a spectrum I think of it as an affine scheme not just as a topological space

But that might not be clear

[tender tulip]

let (S,<,+) be a partially ordered semigroup such that x + y < x and x + y < y. Then define K to be the subset of K such that for all p in K: x + y < p <=> x < p OR y < p. Then if you define L(x) to be the intersection of elements greater than x and P, the set of all L(x) form the closed sets in a topology.

The whole "prime" thing I added JUST to allow L(x + y) = L(x) union L(y)

I wanted to see when for all distinct pairs x and y, there exists disjoint neighborhoods between eachother

turns out the set of ideals of a ring, with ideal product & inclusion, forms EXACTLY this

and it's the Zariski topology

and there's a lot more cool shit in this case beyond that

which I want to see

[severe swallow]

robin hartshorne

[tender tulip]

when we define a projective space, is it usually over an affine space or just like

over the vector space itself

[odd narwhal]

It's with respect to a field

[vivid halo]

Over the vector space is a nice coordinate free way to do it, people will write P(V) for the projective space on a vector space V

Once you fix a basis V=k^n+1 then P(V) is identified with P^n

[umbral forge]

Yo if anyone knows how to do this they should tell me

[storm sage]

#❓how-to-get-help

[mint canopy]

Thought this was RH but forgor about the weird powers of -1

[storm sage]

Lol

[umbral forge]

Oh it is

[storm sage]

alternating riemann hypothesis

[umbral forge]

Just solve for x

[storm sage]

eta function :)))

[storm sage]

x = -2

easy

[umbral forge]

Damn

[storm sage]

(ignore the divergence)

[coral mason]

is project euler good for getting better at functional programming?

[bright hill]

Yes, it is

But just to get you decently familiar with the language

Once that has been done you're practically just doing interview prep

[storm sage]

I would also recommend doing actual projects of stuff you want to make

In addition to doing more mathy projects

Anything that feels more practical will boost your confidence in the programming language

[tender tulip]

isn't this dirichelet eta

[tender tulip]

actually, there is no real solution

[gray snow]

brooo

[bronze wedge]

As an analyst, Zariski is not Hausdorff, so I refuse to acknowledge its existence

[deep mango]

Hausdorff is the fifth topology axiom

sixth is (either locally compact or polish)

[velvet dagger]

Lmfao

[bronze pelican]

Topology? I hardly know her!

[tender tulip]

functor? I hardly know her!

[bronze wedge]

new topology axioms just dropped: Closed under arbitrary unions, finite intersections, contains the empty set and the universe set, is Hausdorff, and either locally compact or polish (depending on the dimensions)

[fast ivy]

Do you guys know any book in measure theory or functional analysis that covers bochner integration?

Or just like

Any material on the subject whatsovever

[bronze wedge]

rudin FA covers it

[bronze wedge]

🙄 functors

[cold needle]

TRA_B

transport

[gray snow]

Bro

What about Mary Jane though

[neat lintel]

yeah I'm not smart enough to contextualize that yet. . . . .

[bronze wedge]

ill try to explain: topology is the study of open sets. this is a joke saying we assume the "collection of open sets" is well behaved by assuming the underlying space is hausdorff (basically as reasonable as you can be), locally compact (which allows you to for eg define volume) or a Polish space (well behaved space)

[fair mural]

the best part is that this joke actually works

[storm sage]

topology is often frustrating because math hates us, adding more axioms makes math hate us less

[bronze wedge]

math is inherently frustrating

[neat lintel]

So, what's inside of a "set"?

Also, what's a closed set? Or is there even one?

[bronze wedge]

Elements of a set. An example would be the set containing 1 and -3, notated {1,-3}

[brave wraith]

i need a good way of representing the earth..
e.g egg, crust = the skin, mantle = the egg white
core = yolk

[fathom swallow]

Results provided by WolframAlpha

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

Requested by rmu#7193

[next schooner]

But it's wrong

x=1 is the alternating harmonic series which converges to ln2

well

it converges to ln2 conditionally

not absolutely

which means the series can be rearranged to converge conditionally to any real number

it is conditionally convergent for any x<=1

wot

why does it give -54 lmao

b-but

Re(-56) < 0

lmao

wait are you suggesting that there are nontrivial zeros with Re(x)>=1

did wolfram disprove the riemann hypothesis?

based

[fathom swallow]

Results provided by WolframAlpha

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

Requested by rmu#7193

Results provided by WolframAlpha

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

Requested by rmu#7193

[next schooner]

Well... I mean yeah that checks out

Mm maybe delete that please

You should delete this

Please

[clever prawn]

Hi everyone, im not sure if this is the right place to talk, but I feel like shit. Not really understanding anything and a teacher who sucks at teaching. I feel really stuffed and feel like crying. Im hopeless right now.

I think im going to fail this class

[shell depot]

https://estore.wacom.com/en-US/one-by-wacom-small-ctl472k1a.html what do you guys think about this graphic table (152x95mm)? I thinked to move from paper to a graphic table. I got tired doing math on paper, do you guys have some experience with this and if so please reply.

[long epoch]

What class are you struggling with?

[clever prawn]

Calculus 2

[long epoch]

I mean the most you can do rn is do loads of practice problems and when you get stuck just ask on the server, no one's going to bite

[tender tulip]

do not do the funct until marriage

[gentle frost]

Hi I am struggling with linear algebra 1 what tips could you give me to pass the course i have an exam in two days and where can i find proof based problems with solutions.

[bronze wedge]

(a) congrats on honourable, (b) that book looks really good

Might take a look later today

[neat lintel]

So, what makes a set "Open" ?

Also, g'morning everyone!!!

[bronze wedge]

An open set would be, for eg {x|a<x<b}

Read as "the set of x such that a<x<b"

Its open because it doesn't contain a or b

[silver hawk]

@glossy crescent I woulda left it at the ① or ②

[bright hill]

Yellow Washingbear

[brisk spire]

I've just started Calculus 2 and I'm trying to prove the Fundamental Theorem of Calculus/Leibniz-Newton Formula but the Mean Value Theorem arise every time and I'd like to avoid it. Is it possible to avoid it? Or is it a fundamental part of the way definite integrals work?

[storm sage]

Why do you want to avoid the MVT

[brisk spire]

Good question. I usually try to understand concepts by building upon the least amount of knowledge required

[cyan goblet]

if you take real analysis, you can prove it via pc constant integration

thats what Tao does at least

[brisk spire]

Sorry, what does pc stand for?

[wooden flax]

Yoo washingbear honorable

[sick burrow]

In what context

[brisk spire]

Pc constant integration

[cyan goblet]

piecewise

wait oops pc stands for piecewise constant

[brisk spire]

Alrighty then! Thanks!

[neat lintel]

So, a set that has ambiguity is an open set?

[surreal sapphire]

no

there is a precise definition

but its probably not important for you to know that right now

intuitively its a set in which you can move a little bit in every direction at every point, but i dont know if this is useful to you

there is no "boundary"

[neat lintel]

Why can't you define a topology where the open sets are {x|a<=x<=b} ?

[surreal sapphire]

well, then $\bigcup_{n\in\bN}\left[a+\frac{1}{n}, b-\frac{1}{n}\right]$ has to be open too

[fathom swallow]

Lochverstärker

[surreal sapphire]

and thats just (a, b)

so now every interval is open

and suddenly everything is open

[mint canopy]

Well I mean more to the point, something like [0,1] u [2,3] must be open, but clearly isn't an interval.

so it's insufficient merely to define the closed intervals to be the only open sets

Ofc If we're talking about using it as a basis the above is a problem too

[neat lintel]

I should have said basis yeah

[mint canopy]

Also {x} = [x,x] so that's an easier way of seeing everything is open

[neat lintel]

I like this topology. No gatekeeping of what sets can be open or not

[little vine]

So it's the discrete topology

[surreal sapphire]

it doesnt have any information

[surreal sapphire]

ye, true

[tawdry radish]

hiding in here

dont mind me

[alpine kindle]

discussion really is awful today

[tawdry radish]

im trying to go through some problem sets

https://www.unf.edu/~wkloster/3100/problems.pdf

I wonder how many I can actually solve.

none. none is the answer.

[tawdry radish]

hey ally can i ask for your opinion on a sketch?

[alpine kindle]

yeah in a min

[alpine kindle]

sure

[neat lintel]

hello!

[alpine kindle]

omg

so cute

[tawdry radish]

hehe

[proud olive]

[willow finch]

#discussion is crazy right now

i'm gonna talk in here lol

[tawdry radish]

done!

well done ish

as done as im willin to be rn

[neat frost]

Omg it’s me!

[tawdry radish]

lmao slurp

[surreal walrus]

Anyone know what this is

[tawdry radish]

I still have to decide which channel is gonna be the mirupii art dump channel

[fading tusk]

lagrangian of the standard model sir

[tawdry radish]

just a ninja of the night

[gray snow]

bro it feel good when u dont have shit on the floor anymore

[tawdry radish]

never see it coming then KAPOW

ARTWORK

[fading tusk]

true

[elfin hamlet]

Can someone help me with this question?

its a true and false question

[bright hill]

Please see #❓how-to-get-help

[elfin hamlet]

and confused why it not correct if its adjacent angle

Like a way to find the correct angle

[tawdry radish]

#❓how-to-get-help

[elfin hamlet]

ok

.close

[fierce sonnet]

Cute <33

[tender tulip]

Slap a 0 at the end of an equal sign and you have the average pde

[balmy maple]

AYO WHO TF WAS GONNA TELL ME DERIVATIVES ARE LITERALLY JUST LINEAR TRANSFORMATIONS WTF

Its all coming together yall something primal just snapped in my brain

[bronze pelican]

Haha

Derivatives are linear operators on the vector space of functions

D(f+g) = D(f)+D(g), D(af)=aD(f)

[ancient flame]

they're homomorphisms under addition

[balmy maple]

🤯 i would've appreciated at least like a mild nod to that fact in first year

its never gonna be the same

[bronze pelican]

If you used linear algebra done right, you'd have seen the derivative as a linear operator on the finite dim vector space of polynomials of bounded degree

[balmy maple]

I like the way they've worded it and actually made the connection, I might download this as a supplement

[tawdry radish]

new mirupii art

[uncut socket]

@silver meteor Trying to understand why that tag irks that user

[silver meteor]

it do be like that

[uncut socket]

Lmao, it just closed

That channel finally closed @silver meteor

[silver meteor]

yea

yay

[uncut socket]

I think they were blind

[uncut socket]

Did you notice that, that user got muted and they (or mod) deleted all the messages? The channel was #help-13 if you forgot

[silver meteor]

ye i

they prob purged it

[tawdry radish]

.... cute

how dare you

there can only be one cutie

[dire spindle]

what's your advice for doing well on the AMC 10

[normal brook]

can I use sdtc when the exponent is four?

[teal lion]

Standard model Lagrangian

[bright hill]

Where??

[brittle socket]

Nice

That looks really good

[brittle socket]

Your art? How about our art?
clicks save image

[bright hill]

why didn't I receive the ping, I fucking hate the new app so much

[arctic grove]

mirupii more like

artiste

[bright hill]

Joke™

[arctic grove]

?

[bright hill]

Also, artiste is french lol

It's artist in English

[arctic grove]

i know....

[arctic grove]

damn bro didnt know that

[bright hill]

You're being very awkward rn lmao

[round sentinel]

I opened a question in one of the math help channels but had to go eat lunch before I could try applying the advice I recived, and the channel closed due to inactivity while iIwas eating. Do I reopen it until I've had time to try the advice and see if it worked or not or just leave it as is?

[tawdry radish]

wip

my art style changes ever so slightly on iPad vs pc

[deep mango]

You can open a new channel if you want, no worries

[neat lintel]

@tawdry radish ur art is epic btw

[brittle socket]

Yes

[bright hill]

Wtf don't so Tru that

[brittle socket]

Why

[bright hill]

Grass you meanie

[brittle socket]

Wait how

?????

Do we have different understandings of lmao

[zealous garden]

So true means what was said was true

And I am smiling and nodding in agreement

Right?

[tawdry radish]

[arctic grove]

no im not!

i was making fun of u

[cold needle]

[hushed turret]

o wao that's really pretty

[tawdry radish]

tyty! I try v hard

[round sentinel]

quite the cute little creature you drew

[surreal sapphire]

i think i know the left cloud

[tawdry radish]

the left one?

shubert?

the clouds are named shubert and gubby

[brittle socket]

New windows background

[tawdry radish]

oh hold on

enjoy

[brittle socket]

[wooden flax]

@arctic grove random but

I’ve started learning physics

It’s pretty cool actually

[arctic grove]

based!

what are u learning rn

[wooden flax]

I’m going back to the basics

So classical mechanics first

Like types of motion and wtv

[arctic grove]

So hs level yeah?

good good

[wooden flax]

I want to learn fluids

[arctic grove]

very good

[neat lintel]

Why can't real life be this epic. I need pyrovision goggles or something. Maybe a shit ton of kawaii merch

[wooden flax]

Ye

[arctic grove]

no u dont

[wooden flax]

I like quantum

Cuz it’s math

[arctic grove]

my hatred for fluids is only second to my hatred of electric current

[wooden flax]

I know some quantum but little classical mech lol

[arctic grove]

haha... perhaps dont try learn QM with this in ur mind

[wooden flax]

What

[arctic grove]

how u do know QM

[wooden flax]

Little

[tawdry radish]

mooood.

[arctic grove]

[wooden flax]

The book was like Lie group/algebra representations modeling stuff in quantum systems

[arctic grove]

Ooo

i wanna read that

i wanna do maths

[wooden flax]

U shud

[arctic grove]

do u think i wouldnt if i had the opportunity to

[wooden flax]

Idl

Idk

What do u do instead

I’m gonna destroy my sleep schedule now

Since I have to do sports

And wake up at 5

[arctic grove]

i have to study for college entrances still

[wooden flax]

Bruh

Just don’t

[arctic grove]

wow

and how do u think i will get a college?

its not like im in the us, most of the colleges are shitty as fuck

how shitty u may ask?

linear algebra in 5th sem out of a 6th sem shitty

😭

[wooden flax]

I mean

That’s in some places here

Like first semester high school algebra, second semester precalc, third semester calc 1, fourth systemester calc 2, 5th semester linear algebra

[arctic grove]

its basically every single uni here

and before that its all calc

[wooden flax]

Isn’t there like

Cmi

[arctic grove]

entire semesters on fourier transform (not fourier analysis)

[arctic grove]

and how do u think people get into cmi

thats right

entrance exams

that are really fucking annoying

[wooden flax]

But those are math exams right

[halcyon cargo]

how difficult is calculus (i am on the first pages of a calculus book)

[arctic grove]

i dont want to go to cmi lol

[wooden flax]

Oh lol

[arctic grove]

its something to get used to

like all maths

[halcyon cargo]

good to hear

[arctic grove]

it will be hard at the start

but the more u do it the better u get

[arctic grove]

😭

[halcyon cargo]

my brain has hyped calculus up to be this awesome thing i bet i will be pretty disappointed

that or overwhelmed

[arctic grove]

i want to go to iisc(basically the best uni i can go to here) and thats kinda

hard

[arctic grove]

i did so too!

and i was fairly disappointed

[wooden flax]

How good is ch Charan Singh

It’s the best uni there I think

[arctic grove]

charan singh?

what

what uni is this

[wooden flax]

A good one ?

The best

Bruh how do u nit know

[arctic grove]

coz its not popular?

idk

[wooden flax]

Huh

[halcyon cargo]

okay gn. it's my first time talking in this server and this place is awesome lol

[wooden flax]

Do U know amu

[arctic grove]

amity uni?

oh aligarh muslim uni?

yaeh i do know

[wooden flax]

Nice

[arctic grove]

what about amu

[simple canyon]

why is

mobile game ads

getting ridiculous exponentially over days

[wanton shoal]

I have horrible grades in highschool right now (I always have and it’s not likely to change) but I’m really good with tests. I consistently got 97th+ percentile on the PSAT test’s (without ever studying) and on amc 12 practice tests I get very good scores (90+ usually). sadly I can’t actually take amc 12 since the nearest testing center is very far from me. How do I get colleges to actually about me and would college even be a good idea for me?

[tawdry radish]

have your grades been poor due to a lack of turning assignments in or

[wanton shoal]

yes.

I don’t really plan to do the assignments anyway

[vivid halo]

right so it sounds like you have the intelligence to do well in university, but your work ethic doesn't match this.

[tawdry radish]

alright, why do you want to go to college?

[wanton shoal]

I’ve been told it’s just required at this point

[wanton shoal]

yes exactly.

[tawdry radish]

if you have zero desire to complete academic work, why then pay an institution to give you more work you're not going to do?

[wanton shoal]

because if I don’t my choices of what I want to do will be extremely limited.

[tawdry radish]

even in an interview scenario, the idea of "I'm smart I just don't care enough to try" doesn't sound alluring.

[wanton shoal]

yeah i know

[vivid halo]

my advice if you're prepared to get your act together and actually do work, go to community college for a year or two, get good grades there, then transfer to a proper university

[tawdry radish]

well you... kinda did this to yourself...?

[wanton shoal]

i did yea

[vivid halo]

don't waste your money in university if you're not prepared to work

[tawdry radish]

sounds like your only option yeah

[vivid halo]

but you do definitely have a second chance with what I'm suggesting

[tawdry radish]

go to communie and actually try

but don't try to go directly to uni because your grades and work ethic aren't gonna do you any favors.

[hybrid quest]

Yall, my sequence got published to the oeis!!!

[vivid halo]

(I personally went to community college and worked my way up, and am currently a PhD student at a much better university)

[wanton shoal]

I was really leaning on not going to college but I just needed auntie else to say it

just feels wrong since everyone i know has been telling me to go

[tawdry radish]

what will you do without college?

[vivid halo]

also you don't necessarily have to go to college to get a decent career, it just depends on what you are wanting to do

[tawdry radish]

like do you have any trade skills?

[wanton shoal]

i have no idea

[wanton shoal]

don’t even know what that is

[tawdry radish]

trade skills are great as an alternative

like... practical skills.

fix cars, plumb, electrician

cook

[wanton shoal]

oh those

no i don’t.

[tawdry radish]

huhm.

[vivid halo]

if you don't know what you want to do, college is a pretty expensive way to figure that out lol

[tawdry radish]

yeahhhh

[wanton shoal]

I’m good at math and like nothing else.

[tawdry radish]

maybe take a gap year

figure out what you wanna do with yourself

[wanton shoal]

yeah i could

still have two years left in high school to figure out what to do in that gap year

[vivid halo]

yeah take a gap year and get a shitty job that at least builds up some very basic savings

[tawdry radish]

I don't mean this in a bad way

but it doesn't sound like you're college ready rn

[hybrid quest]

Hmm, ive thought about studying again at uni. I have a masters, so would I likely go for another masters of math? Or just bachelor's of math?

[vivid halo]

gives you some perspective on the world and you're not going into the red by spending time figuring things out that way

[tawdry radish]

maybe do some grade grinding in high school

join a club

[wanton shoal]

I already have a few thousand from a stock I just got lucky on

[tawdry radish]

learn what an allen wrench is.

start a garden

Eat a buffalo burger

something else

[hybrid quest]

Smell the flowers

[wanton shoal]

honestly just due to my intelligence with math I was hoping I’d use it to my advantage

[tawdry radish]

hold a bee

[tawdry radish]

it kiiiiinda doesn't work that way?

[vivid halo]

you definitely can use that to your advantage, but you also need work ethic

[river moon]

https://www.youtube.com/watch?v=9S1EzkRpelY

[tawdry radish]

like, again, the "I'm smart I just can't be fucked to care" is not a good angle.

[vivid halo]

it's like multiplying, if your work ethic is 0, then multiplying by 0 kills everything else

[wanton shoal]

Well i’ve been trying to teach myself work ethic for years now since I noticed my issues. Still not very hard working.

[tawdry radish]

what good is being smart if you don't do anything with it.

[vivid halo]

I mean I don't think the solution here is to just keep working harder, you need goals to work towards

[wanton shoal]

true true

[vivid halo]

you need some actual reason to be working

otherwise it's hard to stay motivated

[tawdry radish]

it sounds like you need a reason.

a passion

a purpose

a fistful of bees.

[wanton shoal]

This is not the first time i’ve been told this.

[wanton shoal]

What is your obsession with holding bees?

[tawdry radish]

uh

more bees

[wanton shoal]

And if you are wondering yes I have actually held bees before. Not fun.

[tawdry radish]

idk, bumblebees are fun to hold

[wanton shoal]

they weren’t bumble iirc

but it was a while ago

[tawdry radish]

I didn't gave much work ethic in HS either tbh

[vivid halo]

yeah same

[hybrid quest]

I would be scared to hug beedrill

[tawdry radish]

I didn't really get a work ethic until I became friends with a group of tryhards

[vivid halo]

I had pretty terrible work ethic until maybe the start of college, which is also when I figured out I wanted to go into math

[eager reef]

Lmao

Same

[tawdry radish]

and I ended up deep in the self improvement grindset

[wanton shoal]

I used to be in a group like that but I started to drift away from them

[eager reef]

It be like that

[tawdry radish]

my drive suddenly became "I wanna be impressive. and if I'm gonna be someone that everyone remembers I gotta GRIND"

now I drink five coffees a day and hardly sleep

[hybrid quest]

Woah

[eager reef]

[tawdry radish]

it also gave me a perfectionist complex and chronic anxiety BUT FORGET THAT PART

[wanton shoal]

For the things I am interested in (mostly the stuff that can impress people) like the game I’m building in desmos, I do have that motivation (I spent like all my time over this last weekends getting polygon collision to work)

but just not with school in any way

[tawdry radish]

wanna know what I did in HS to get motivated

I went "how can i apply this to what I actually care about"

[wanton shoal]

Yeah I’ve done that before.

I’m motivated in my calculus class and only my calculus class.

[tawdry radish]

for example in Honors Chem I used the chem knowledge to make my own paints

[vivid halo]

yeah I mean beyond a certain point there's only so much you can do to trick yourself into working on these things lol

[tawdry radish]

hmmmmmm

[vivid halo]

some of it is busy work and that's just life

[tawdry radish]

yeah all I can say is like

[hybrid quest]

Yall in HS, all I cared about was weed and skateboarding

[tawdry radish]

this is gonna sound bad

but like

gaslight yourself into grindset LMAO

[wanton shoal]

oh boy is it “work harder”?

[tawdry radish]

that's what I did

[wanton shoal]

knew it

[tawdry radish]

I literally found a friend to compete with and that worked for some reason

not a universal cure but

it was fun having the academic equivalent of a pokemon rival

[wanton shoal]

I think the main issue with school for me is that I don’t see how doing the work will further my goals.

[vivid halo]

there's always going to be some amount of work that you are going to have to force, it's not going to be interesting. The trick is to have the majority of the work you do lining up with the kinds of work you naturally obsess about

[wanton shoal]

as everything I’ve learned in school I learned online beforehand and it’s hard to convince myself that it will be different in the future without evidence.

[vivid halo]

a good chunk of the work does further your goals indirectly

if you go into mathematics you'll end up doing a LOT of writing

so all those dumb English essays aren't completely wasted

[tawdry radish]

its just hard to see the longterm goals

especially if youve only been alive for like what

16 years

youre younger than youtube LOL

[wanton shoal]

yeah with the east’s thing the hard part for me is just forming an opinion on the subject at hand, since it’s almost always something subjective

essays

not east’s

[vivid halo]

yeah I think with those it's like

[tawdry radish]

research papers > essays tbh

[wanton shoal]

yes

[vivid halo]

don't take it too seriously in the sense that you're not actually having to stick with an opinion, just pick one and explore it

but do take it seriously in the sense that like

[tawdry radish]

that gives me an idea…

[vivid halo]

engaging with stuff like this will reward you in the long run

[tawdry radish]

kawaii essay outliner…

[vivid halo]

like it's very true that the essay writing you do for school is kind of a stupid game

[wanton shoal]

It’s not that I don’t have opinions, it’s that it’s hard for me to prove stuff without objective evidence

[vivid halo]

well right that's what's challenging about more subjective writing

you still have to do this kind of subjective writing in mathematics believe it or not

[tawdry radish]

weirdly enough yes,

welcome to Theses

Thesises?

Thesees?

[vivid halo]

Theses

also grant proposals!

[tawdry radish]

also college application essays!

[vivid halo]

there's an art to convincing people that an idea is a good idea before you've seen it through

[tawdry radish]

also scholarships essays

[vivid halo]

grant proposals are a lot of pretty story telling

[tawdry radish]

yep yep

hey groupoid youre p cool

[vivid halo]

thanks

you're cool too

[tawdry radish]

we’re friends now

🤝

[vivid halo]

my PhD advisor did a cool thing and posted one of his (successful) grant proposals now that the period has ended

[tawdry radish]

oooooo

i love when profs do that

[vivid halo]

and wrote a bit about how things shaped up in the end and what he would have done differently

it was very instructive

[tawdry radish]

thats how i made my first portfolio

[vivid halo]

he did end up accomplishing most of the items in the grant!

(with coauthors help)

[tawdry radish]

my prof linked me his and explained what he did and what he would’ve done differently

i still need to update mine, it’s not very good

being an artist and liking math is hard LOL

[wanton shoal]

I’m relatively new to math since I’m still in high school but why would you need to convince someone some math idea is a good idea before researching it? It’s not like you have to conduct expensive experiments like the other sciences.

[tawdry radish]

because they’re funding you and they don’t want to waste time and money

[fading tusk]

has anyone read mathematics made difficult?

[sick burrow]

Enn gee

Teach me aay gee

[fading tusk]

https://en.wikipedia.org/wiki/Mathematics_Made_Difficult

wow this article doesn't even begin to make the book justice

[tawdry radish]

sketches

[fading tusk]

is that a rabbit?

[hushed turret]

i should just start saying this when people ask me how old i am.

[tawdry radish]

which one

[fading tusk]

the left one

[hushed turret]

im younger than youtube

[tawdry radish]

it makes my bones ache.

[sick burrow]

Specifically how does the Grothendieck wizardry connect to the classical approach

[tawdry radish]

im slightly older than spongebob

[hushed turret]

nice sketches :0

[tawdry radish]

which one jefeh

im confuse

[sick burrow]

If that can be explained to someone who doesn't know comalg but is studying classical AG

[fading tusk]

the one that look like a bunny rabbit

the first one

[wanton shoal]

I would actually like to read that

[fair mural]

no you wouldn’t

[wanton shoal]

how complicated to they make the proofs?

can’t be worse than set theory, can it?

[fading tusk]

not that complicated the author is a god tier memer

[fair mural]

probably something like doing addition with category theory or something really stupid like that

[wanton shoal]

so basically just as bad as set theory. Got it. I would like to read this.

[proud olive]

Finally some challenge

Do you actually have that book btw?

[fading tusk]

the book is satirical

It's on libg

[proud olive]

oOo

[sick burrow]

How is set theory bad...

[wanton shoal]

explains the very inner working of very simple operations, just like the book.

[mortal hatch]

fighting cancer right now

[sick burrow]

and this is bad why?

[bright hill]

Well, sotrue is sarcastic by origin

[storm sage]

Current mood: mildly annoyed that \subset is proper by default in LaTeX

I feel like I use \subseteq way more

I could just redefine them, but..

[gaunt latch]

[sick burrow]

[zealous garden]

\subseteq is the most consistent option

[open aspen]

Subset seems to be the default in general for some reason

Even when equality is possible

Its weird

[storm sage]

My homework wants me to round to three decimal places, disgusting

Let me retreat to math class

[open aspen]

Physics or chem?

Or stats ig

[storm sage]

It's basically stats

"Calculate the probability of X given Y using the table"

I don't see how expressing it as a decimal is useful at all.. just keep it as a fraction

also, the homework is written in MS word

😭

[wraith shuttle]

anyone here familiar with kaggle/jupyter notebooks?

[storm sage]

(like just look at this :|)

[tender tulip]

Is there a way to say two surfaces are tangent at a point

[storm sage]

wdym, you just said it

[fast ivy]

Do you want to formalize this notion?

[mint canopy]

Their tangent spaces at that point are equal.

[clever gale]

Hey just finished university moving into a teaching roll and becoming a college lecturer was wondering how someone can get helper?

[storm sage]

Do you mean the helper role on this server

[clever gale]

Yhea

[storm sage]

Oh okay, just message @polar panther saying you want the role, and they'll give you the role

[clever gale]

Would love to stay less rusty thanks👍

[storm sage]

👍

you can also help without having the helper role

[clever gale]

Oh cool thanks

[storm sage]

yup! no problem and thanks for helping :)

[hollow sundial]

@bronze wedge probably an interesting problem for you in #help-30

tried explaining that a 21x21 matrix can't multiply a 2x1 vector, but wasn't good enough for them

[old pumice]

i need help

[tawdry radish]

goooooooood EVENING!!

[old star]

You mean good morning? 😂

[wraith shuttle]

anyone here familiar with kaggle?

[bright hill]

https://dontasktoask.com/

[neat frost]

Good morning!

[neat frost]

Good. Morning.

[bright hill]

Gmorning slurp!

[uncut socket]

@silver meteor

,w what is the quadratic formula

[fathom swallow]

Results provided by WolframAlpha

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

Requested by dldh06#2659

[uncut socket]

Need to be more specific

[silver meteor]

omg magic

thanksss

i can use it in the future

❤️

[uncut socket]

I actually haven't encountered that alt form before

[zealous garden]

me either

it feels weird

[silver meteor]

hahah same

well

we can use it jn the future

[zealous garden]

give graders heart palpitations when they see the alternate form yield the correct answer

[umbral lion]

seems like it'd really only be handy if the constant term is 1

[storm sage]

alternate form???

👀

[umbral lion]

complete the square the other way

[mint canopy]

yeah this is just solving for x^-1 instead isn't it

neat

[storm sage]

yea that's cool

[umbral lion]

the interesting thing about it is that it has no singularitiies

cause it looks like it could but that would imply you could have singularities usually but that would only happen if you dont have a quadratic in the first place

[storm sage]

the alternate form doesn't work if c=0

you get 0/0

which is unfortunate

but that makes sense

since if you're solving for x^-1, then x≠0, but x=0 is a solution iff c=0

[zealous garden]

and if c = 0 you're hopefully smart enough to realize you don't need to bother with the quadratic formula at that point

[storm sage]

Lol

[open aspen]

On one of the tests in grading

[arctic grove]

wow

thats super cute

i would give that person a couple of extra marks, just for that drawing

[open aspen]

Same. This isn't my section (we are each grading one page for all students in all sections) so I'll air it to that sections instructor

I'm pretty sure he is the second character there

[storm sage]

awww cute

[mint canopy]

Wow that’s a great drawing!

[umbral lion]

imagine the grade for this was like 30% and this mocked the person ahahah

[arctic grove]

😌

very sweet

[south kelp]

bleeeh got a functinonal analysis midterm tomorrow looots of studying to do

[bright hill]

🫂

fun anal sounds cool doe

good luck!

[fair mural]

[sick kite]

fun anal is by definition.. fun

[wooden flax]

whowouldathunkit

[alpine kindle]

gethunk

[wooden flax]

[chilly hull]

cute

[bronze wedge]

[fervent pebble]

is the universe continuous or discrete, and why do you think so?

[storm sage]

discrete for all human purposes

[bronze wedge]

its fundamentally discrete, but continuity is close enough

time is continuous though

at least i think

[fervent pebble]

i need reasoning here too

[bronze wedge]

we are made of discrete things (atoms)

[fervent pebble]

okay?

atoms are made of smaller things

which are made of smaller things

and who's to say that can't go on to infinity?

that reasoning doesn't really work

[bronze wedge]

physoids are almost sure there are no more iirc

[fervent pebble]

why not

hyk

?

[storm sage]

if it can, then we can't really check

[fervent pebble]

mm true

[zealous garden]

Reality is continuous

[tawdry radish]

啊哈哈、我的好好的朋友啦！好久不见啦、怎么样啊？

[teal lake]

Are you Chinese?

Or has learning chinese become a thing nowadays. I'm too old to get with the times.

This server as a whole is just too intellectually advanced for me anyways.

[pearl moth]

nonsense

[fervent pebble]

bro have you seen this server

no offense but literally 99.999999% of the people here (including me) are very much the opposite of 'intellectually advanced'

and

even if it was

then you should stay here anyways

uhhh there's a quote

"if you're the smartest person in the room, you're in the wrong room"

[hollow ginkgo]

At any given time, there is at least one person somewhere who is in the wrong room.

[fervent pebble]

can you imagine being in the wrong room?

that would be so dumb

[proud olive]

That's why I always force my peers to take an ÍQ test before i enter the room

[umbral lion]

it does!

must be from prior spam

[wheat marlin]

wth is with these price tags i rlly dont understand luxury brands and thats not high quality it looks so dirty and old why is it so expensive

[velvet dagger]

People pay for the name more than for the quality

There are def quality brands which are much cheaper

[wheat marlin]

i agree

if u remove the gucci logo it would cost like 10 dollars or something

[oak oxide]

Hi everyone. Do you have any cool idea of some math design for a logo? It is for sweatshirts of the maths section in my uni, if you have good idea feel free to propose things!

[bright hill]

biology student
🤢

[leaden torrent]

this isnt really true, luxury clothes ARE generally better than mid-tier clothes

just not better enough to justify the price

[surreal sapphire]

are you sure?

[umbral lion]

law of diminishing returns once again making economics gayer

[surreal sapphire]

i dont know what you think mid-tier is but a lot of brand clothing is really bad quality

and produced really badly

[leaden torrent]

i dont mean whatevers trendy with skater bros

i mean actual luxury stuff that costs thousands of dollars

[umbral lion]

a majority of hyped up brand clothing nowadays is piss poor, but when you move outside of those high volume lines usually the quality is closer to the price tag

[surreal sapphire]

ok sure

[leaden torrent]

to be clear, it is not worth thousands of dollars

[surreal sapphire]

but brand clothing is increasingly popular with teenagers

and the stuff they wear is not high quality in any sense

[leaden torrent]

correct, and that trend is dumb

but not really related i dont think

except insofar as they are more aware that, say, gucci exists than they used to be

but i still dont think gucci is "popular" in the sense that kids are buying it

[surreal sapphire]

if you look at stuff marketed at adults (i think ralph lauren) then yeah

i see a lot of kids wear gucci

or fake gucci at least

[umbral lion]

or fancy suits

fancy suits feel nice

[surreal sapphire]

gucci bags and belts are really popular

or jewelry with the logo i think

[leaden torrent]

yeah bags are one product where you do just buy for the brand

there isnt really much utility in a different bag material (or rather, there is but high-end materials arent really better than low-end ones in terms of functionality)

and you can find whatever aesthetic you like for cheapish

[surreal sapphire]

not if your aesthetic is "visible brand logo"

[leaden torrent]

you can find that too, just find a good knockoff

[surreal sapphire]

ok but thats illegal

[leaden torrent]

not for the consumer!

[surreal sapphire]

you support criminals

[leaden torrent]

plus you get to like, roleplay being rich AND anti-capitalist

[surreal sapphire]

you wouldnt download a gucci bag

[leaden torrent]

2 trendy aesthetics at once

"yeah im rich, yeah i subvert this oppressive financial system, yes we exist"

[umbral lion]

3d printed drip

[lavish kayak]

Yes

I'll give you an example

Some time ago I was in Venice, and the place is basically one big clothing marketplace

A very good, hand made, real leather, artisan bag, (like astounding quality. Made out of one piece of leather with some black magick) was a few hundred euros

250 or so. Maybe 300.
So that was the most expensive bag in a shop for the local artisans.

But 300 euros is really chump change when you go looking at the brands near the main squares. Although there is no way that you get higher quality than the previously mentioned bag.

[umbral lion]

oh man ya gotta hit up the mask shops next time youre there

[lavish kayak]

Oh I did

I have a small pendant from there 🙂

[umbral lion]

hell yea

[lavish kayak]

So anyway yeah you're paying for the brand. But to buy quality clothing without the brand you gotta know where to look

Bit of a catch 22. I personally have no idea how to buy quality... So I'll buy American eagle or some of the "made to last" brands if I want it to last

My more understanding friends buy Castro for that

[tender tulip]

wtf is a sheaf

[manic ginkgo]

a bundle of grain stalks

[spiral saffron]

In topology

how to go from a ~ star shape to a sphere?

[surreal sapphire]

uh, is there some more information on this?

identify all points on the boundary?

[limber thunder]

usually normalizing works

[storm sage]

挺好：))

[storm sage]

biology student :)))

[bright hill]

you are?

[storm sage]

Lol who knows

[bright hill]

it's not a shitpost??

[ancient flame]

yay someone that's worse than a business student

[bright hill]

hardly.

[storm sage]

That's just wrong

gmod

im going to dissect you

run while you can

[ancient flame]

wtf

[storm sage]

coming after you with a scalpel

ive got to collect some data

[ancient flame]

...

[arctic grove]

no gmod u are still the worst

[exotic crypt]

How watching a movie everyday affect your ability to study math or overall ability as a student?

[serene parrot]

[mint canopy]

It will make you a very good film student 👍

[exotic crypt]

lol does it really affect? If you are stil completing your homework

[mint canopy]

It may or may not affect you; really depends on you.

[exotic crypt]

does it affect you? in place of movies you can assume a useless activity

[mint canopy]

I simply do no useless activities

I'm joking ofc

[umbral lion]

yeah you are breathing thats pretty useless

[serene parrot]

unfortunately google says there are 50000 movies that exist, so you would need to watch more than one movie per day to watch them all in a lifetime

[exotic crypt]

that isn't my goal, I just desire a little bit entertainment or peace before going to bed

[serene parrot]

[sick burrow]

Imagine worrying about doing things you enjoy in your free time