serious-discussion

[latent edge]

I learned a lot of stuff from nG ngl

[jaunty ibex]

real

[jaunty ibex]

Tbh I learned shit tons of stuff from u

Thank you for everything 🩷

[quaint cipher]

if f(x) has discontinuity at x0, then does f^2(x) always have discontinuity too?

[strong gorge]

can you come up with a counterexample

[quaint cipher]

I can't, that's why I asked😭

[neat lintel]

When you say f^2(x) do you mean f(f(x)) or (f(x))^2?

[quaint cipher]

latter

[burnt ledge]

No

try ||f(x) = {-1 if x ≠ 0, 1 otherwise}.|| this is ||discontinuous at 0, but (f(x))² = 1 is continuous||

[neat lintel]

Aw I was going to try to make them find the solution by themselves and you spoiled it

[burnt ledge]

oopsie sorry

[quaint cipher]

Thank you, I really didn't think of this function

[cloud copper]

finally i understood riemann hypothesis
its like the hypothesis that all non trivial zeros for zeta function lie on real part 1/2 right ?

[surreal sapphire]

[surreal sapphire]

i have some interval of positive integers $I = [x,y] \cap \mathbb N$ and want to talk about the set $$S \coloneqq {z \in \mathbb N : kz \in I \text{ for some $k \in \mathbb N$}}$$
im making statements of the form $s \in S$ a lot and was wondering if someone can come up with an adjective to denote this (and/or some name for the construction of $S$)

[fathom swallow]

Lochverstärker

[neon garnet]

i like ng c:

he puts things very beautifully at times. [[1]](#advanced-lounge message)

yay ng!

[quaint cipher]

f(x) + sinx must have discontinuity at x0 iff f(x) has discontinuity at x0? I cant think of any counterexample but Idk how to prove it either

[neat lintel]

The sum of two continuous functions is continuous

[eager reef]

the footnote lol

[fringe summit]

Citation no longer needed

[open path]

I was doing an math exercise and I realised I could save a lot of time if I have a formula that calculates the sum of (An x Bn) for all n terms, where An and Bn are arithmetic sequences. Is there a formula for that?

[zealous stone]

No idea if there's an actually nice way to do it, but you can write each arithmetic sequence as an+b and after multiplication you get a quadratic

Then you can use the formulas for summing constants, n terms, and n squared terms

[sharp latch]

does any one know good youtube channels for 1st degree ode?

[zealous stone]

To be honest, learn it through a book or a course on coursera/MIT ocw - a lot of youtube videos aren't organized in such a way that the skills actually build on each other and take you to knowing the subject

So my recommendation would be Paul's online math notes if you just want to pass a class or watch mit ocw diff eq if you want to actually be good

[sharp latch]

okay thank you so much and yeah on youtube the things are pretty much random

[open path]

That's what I did. Thx anyway.

[vivid halo]

[wet mortar]

the people love you

[vivid halo]

corollary: the mods are not people

[wet mortar]

[short shard]

Hi chat

[vivid halo]

[inner canopy]

Why send that image

[short shard]

Why not

Spec cool

Btw does anyone know the genre of "Heccra" and "Guitar fight from Fooly Cooly"? Google says they're rock but that's very very broad

[icy heron]

Is S the union of the divisors of each integer in I?

[vivid halo]

Heccra the artist?

lmfao that's hilarious I'm listening to them right now

[short shard]

Yeah

[short shard]

Same

I found them a few days ago

[vivid halo]

nice same

[inner canopy]

Fooly Cooley as in the anime FLCL?

Didn't the pillows make the soundtrack for that

[short shard]

Do you know the genre name? Because I need more

[vivid halo]

rock is just about the least descriptive label for them

[short shard]

The artist 😔

[short shard]

Ikr 💀

[inner canopy]

Bruh

[vivid halo]

I mean they're kinda unique, but definitely closer to like, metalcore/hardcore/posthardcore

but it's kind of a lot of stuff

[short shard]

I listen to a lot of metalcore and they're very different

[vivid halo]

yeah I'm mostly thinking of the non electronic genres that come to mind

[short shard]

But then again the metalcore I listen to isn't too heavy

[vivid halo]

there are defintely more electronic influences here but the right genres aren't quite coming to mind

[short shard]

But if you like heccra then you'd like the other band I mentioned

[vivid halo]

nice yea I'll check them out

[short shard]

They apparently took inspiration from heccra

[vivid halo]

I'm listening to some death metal at the moment

https://knollgrind.bandcamp.com/track/gracian-axiom-2

this track just gets straight to RIPPING

[short shard]

I don't listen to death metal but deathgaze is pretty cool

[vivid halo]

if you like Heccra you probably won't dislike these guys

been on a knoll binge today

[short shard]

Ok good 12k listeners on Spotify. Anything more than 2mil and I won't listen to it

[short shard]

A bit too heavy for me 😔

[vast wraith]

whew small world i know someone who knows the artist

[neat lintel]

https://youtu.be/Fuw9ZdFrasA?si=XECQlLBElCuCeZLK oooi

[vivid halo]

can't fault anyone for having this opinion haha

it's definitely very intense just in a different way as Heccra

[short shard]

I'm fine with very heavy stuff if it has some cleaner parts or complex guitar playing

This has some very heavy parts https://open.spotify.com/track/0Mntj5rmGPmD6BQEJCbzA1?si=BikADB4XRRC5TJxoUnyJ6w

[vivid halo]

yeah I used to be like this too until harsh vocals grew on me

[short shard]

Probably something I'll relate to one day. I only really got into metal two or so months ago

And I'm already seeing myself like stuff I probably wouldn't have liked before

[vivid halo]

:^)

[true zinc]

OOH THIS IS SO GOOD

[true zinc]

DEATHGAZE MENTIONED

HAND OVER 'YE ALBUMS :3

[latent edge]

I LISTEN TO THIS

BASED

[short shard]

I'm new but I like holy fawn a lot

[true zinc]

HOLY FAWN MENTIONED

:3

one of our friends is super into blackgaze

and they got us into it

and normal shoegaze (after the fact)

[short shard]

A guy I recently met on reddit suggested it to me

So if you're into it then I'd be happy if you have some suggestions for me

[short shard]

SHOEGAZE MENTIONED

[true zinc]

airiel, slowdive; mainly here

[short shard]

Damn I have a meme about fleshwater but I can't send images 😔

[true zinc]

#chill or dms

[vivid halo]

BASED

[vivid halo]

https://tanpopocrisis.bandcamp.com/album/millennium-flower

https://sugarwounds.bandcamp.com/album/mechanical-friends-remastered

from the same guy, different band project

all of them solo pretty much

first track on the second thing I posted is great

https://sugarwounds.bandcamp.com/album/calico-dreams

:^)

kind of a mix between blackgaze and grindcore

[short shard]

Woh nice

I'll add it

[bitter pier]

Yo this seems chill

Anyone got tips on learning math

[north gorge]

You can write everything down before doing exercices, then you’ll know your lesson I guess

[true zinc]

we don't have any off the top of our head sadly rn sorry

[bitter pier]

Okay but what about competitive math does the same way apply

[north gorge]

I think that you just need to train on the last exams, you’ll see what you have to learn to compete

[bitter pier]

I see

[jaunty ibex]

yea ng is very informative as well

[neon garnet]

yeah!! i like ng's pov on math c:

[fresh comet]

nG is awesome

[jaunty ibex]

yeah

@latent edge I'm on the bilinear forms chapter now

[latent edge]

LETS FUCKING GOOOOO

[jaunty ibex]

$V[X] = E[|X-E[X]|^2]$

[fathom swallow]

vero

[jaunty ibex]

Why is this true

[latent edge]

by definition of variance

[jaunty ibex]

oh lmao

If we were to study the variance of X where X(a) is the sum of some distribution c_n over mod p and the sum is over all n = a mod p

What are some nice inequalities we can get

[latent edge]

wdym

[jaunty ibex]

uhh idk

[latent edge]

what are u trying to prove?

[jaunty ibex]

Arithmetic large sieve inequality

[latent edge]

ohhhh

[jaunty ibex]

Yeah I'm trying to get a bound for E[X]^2

[latent edge]

ok say P(A) = |A|/p for A, a subset of Z/pZ and consider the random variable X: Z/pZ - > C defined as what you said above

[jaunty ibex]

yea i know

What is E[X]^2

[latent edge]

$\left|\frac{1}{p} \sum_{a \in (Z/pZ)/ R_p} X(a) \right|^2 \le \frac{p-|R_p|}{p} E[|X|^2]$

[fathom swallow]

Matroid

[latent edge]

[jaunty ibex]

Oh cuz V[X] must be large enough since N will avoid the set R_p and so X(a) = 0

Then this follows from Cauchy Schwartz

Holy shit I understand this much better now thank you so much deltoid

[latent edge]

np

what's a lower bound for V[X]?

[jaunty ibex]

good question

[latent edge]

be careful tho when you take fourier series

very easy to shoot your foot

[vast wraith]

tfw referencing victorian mathematics

from coxeter's 1968 article on the problem of apollonius

last line breaks the rhythm

poem (and associated proof and rediscovery of descartes' circle theorem) was originally published in the ubiquitous (if you read any 18–19th century history of mathematics) ladies' diary

[vast wraith]

ahem

[willow sandal]

can anybody help me on a weekday formula

[pulsar pagoda]

some could say ng is the real oG

[vast wraith]

Klein in his 1891 lecture notes on galois theory at göttingen. he thought it was too limited, and that it should also deal with transcendental solutions to equations, in a sort of "hyper-Galois theory"

So only those equations which are solvable by root signs are called “algebraically solvable”. There then arises the proposition that equations of degree 5 are “algebraically unsolvable”; an important truth in inappropriate form. And therefore everything that has been achieved on the solution of equations of degree 5 algebraically is then rubricated merely as an “application of elliptic functions”!

[bronze pelican]

Goated

Klein was a GOAT for sure

[vast wraith]

[waxen inlet]

hello

[bronze pelican]

Hi rodbet how you doing @vast wraith

[vast wraith]

i’m… getting by

[bronze pelican]

What is historia mathematica

[vast wraith]

journal

[bronze pelican]

<@&268886789983436800>

[vast wraith]

sigh

[bronze pelican]

I would like to learn klein's icosahedral solution to the quintic one day

I tried reading his book

[vast wraith]

same

and i’m already falling behind in all my courses

[bronze pelican]

Oof

Are you in undergrad?

[vast wraith]

just started grad school

a month ago

[bronze pelican]

Congratulations!

[vast wraith]

thanks i suppose, though so far it feels exactlt like before

[bronze pelican]

Do you have an area of interest / specialization?

[vast wraith]

welp

[bronze pelican]

1st year of grad school be like that

[vast wraith]

i’ve been pointed towards algebraic geometry and i’m working towards that direction but of course really i’ve very little idea what alg geo even is atm

[bronze pelican]

Alg geo is overrated don't listen to me

[vast wraith]

and i suppose a very big problem for me atm is that i spend basically all my time doing random reading in the history of mathematics, finding very little time to actually do any mathematics

[bronze pelican]

I respect that

More people should get into math history ! I want to learn more

[vast wraith]

this is such a problem though, as it ties to no program here :S

meh, i’ll just have to drop that somehow and get working on what i’m supposed to

[bronze pelican]

Or start a math history seminar

[latent edge]

talk about the distribution of prime numbers

[bronze pelican]

I don't think you have to give up on what interests you, just just have to find some balance between your actual responsibilities and things you do for fun / enrichment

[latent edge]

As someone who did alg geo research recently I agree

alg geo is overrated and I get why people usually go for it

[latent edge]

me rn trying to find a balance between reading math for fun and applying for jobs

[vast wraith]

what does this mean

i really have no idea how these things work :S

and apropos balancing stuff i have to get back to my obsessing over gay webtoons bye

[vale plover]

what laptops do people here use?

[dense wraith]

Thinkpad

[limber thunder]

yeah thinkpad gang here

bought a dirt cheap t480 since I don't really need nor want more I pretty much just use it to code and SSH

[dense wraith]

Lately i've been finding this is very hard to do

[dense wraith]

Nice, are you running windows on it?

[limber thunder]

arch linux

windows on my desktop for media production, games and stuff

[dense wraith]

Cool. What de?

[limber thunder]

i3wm

[dense wraith]

Noice. I'm running hyprland on gentoo

[limber thunder]

havent tried other tiling wm though

[limber thunder]

[zealous garden]

I told you about my Thinkpad T430 right

[vale plover]

yeah

my question got drowned out in #discussion tho

[limber thunder]

discussion chat has the median speed of a japanese bullet train

[zealous garden]

good, I'm not losing it yet

[true zinc]

dell inspiron 7620 2-in-1
lenovo thinkpad x1 carbon gen6 14"
Custom Gaming PC (haven't touched this in 3 years bc parents took the power supply)

[wise bloom]

yo

[fathom swallow]

Aya

[obsidian salmon]

buy another ps?

[zinc edge]

hey guys do you know a best app/website that could make a mind map? this is for my research and a mind map would help me organize my ideas. (please ping me, i might not read your message)

[strong gorge]

[peak tide]

can't you argue that if f+g is integrable and f is integrable, then g = (f+g) - f is integrable?

[leaden torrent]

...fuck

i misinterpreted the statement

hold on lemme delete my shame

lmfao

[quaint cipher]

wait what does this mean? What did I miss

[peak tide]

i was responding to this question:

pay no attention to Namington's expletive, he's not feeling well

[leaden torrent]

i read the question wrong and gave a wrong answer lmao

my answer was correct for the question i read smh

clearly its the feds covering it up

trying to make me look like an idiot

[peak tide]

feds gonna fed

[quaint cipher]

why did we assume like that, shouldn't we assume one is integrable and another is not intergrable?

[red stratus]

Does anyone do big ideas math algebra 1

[leaden torrent]

bungo is showing the contrapositive

[peak tide]

exploring what would happen if the conclusion were not true, we found a contradiction

so it must be true

[leaden torrent]

smh your phrasing was noncontradictive

no need to turn a constructive argument into a nonconstructive one

😠

[peak tide]

interpretation is up to the reader, i just stated facts

[quaint cipher]

ooh I'm not familar with contrapositive. I see now, thank you

[fathom swallow]

Aya

[eager reef]

No

||What is the simplest function you can think of that satisfies the first condition||

There is no reason for this to be true if you think about what a derivative expresses

[quaint cipher]

What about the converse ?

I think false too

thank you !

[peak tide]

what is your reasoning?

[quaint cipher]

f'(x)=x, then f(x)=1/2 x^2 which \to +infty

if F(x) is the one of the antiderivative of f(x) in (a,b), then does f(x)+F(x) have antiderivative on the interval?

[eager reef]

are you even trying to do these yourself or are you just immediately pasting them here

[quaint cipher]

actually it has other options like is it continuous or diff, but I'm only not sure about this one

[eager reef]

think about this yourself for a bit

[quaint cipher]

These are all the questions I have accumulated. I only come here to ask after I have gathered a certain number of questions😂

But anyway, ok, thanks

[eager reef]

alright i'll take your word for it

[quaint cipher]

wait F(x) may not always be continuous, isn't it?

huh... looks like I mixed smth up

[eager reef]

@quaint cipher ignore what i said for some reason i assumed f is continous

lol

[sly jungle]

is it worth spending time to do elaborate computation problems on solving trig integrals and inverse laplace transforms with residues in complex analysis?

and btw are these methods used by computation libraries?

[river moon]

no

[sly jungle]

Hmm, that's disappointing if it doesn't have practical value. Anything specific that is preferred then?

[river moon]

just because it's not used in a library doesn't mean you shouldn't learn it

division is not done how you think it should be done either

or multiplication

[sly jungle]

Fair enough xD

Was just curious coz it seemed nifty and practically useful

[quaint cipher]

if f is not smoothly changing around the point then it wont be diff at the point? why?this is not intuitively to me how can I understand this properly?

[static loom]

smooth basically means if you zoom in enough at a point, it looks like a straight line there, does that sound reasonable so far?

[quaint cipher]

yes

[north topaz]

so if we take two points (x, f(x)) and (x + h, f(x + h)) in the neighbourhood of the point, if it's not smoothly changing, then the slope of the straight line $\lim_{h \to 0} \frac{f(x + h) - f(x)}{(x + h) - x}$ won't be defined

[fathom swallow]

south

[north topaz]

cause there's no way to approximate it as a straight line

no matter how small h is, or how close the two points are to each other

[quaint cipher]

thank you, i see now

[rapid kiln]

@icy locust that channel was opened to test a new feature of Help Channels

[icy locust]

shhhhhh

dont ruin my joke

[rapid kiln]

I didn't knew you were joking

[icy locust]

Should have .close'd if there were no more things to test tbh

[rapid kiln]

lol\

[rapid kiln]

there could be more
who knows

[true zinc]

the problem here isn't that I don't have the money, it's that our parents would probably kick us out if we did

they did that as a way of "you're never allowed to use this again, thank you have a nice day"

[obsidian salmon]

oh rip

[north topaz]

Ryan can I ask

are you Indian?

Rayyan is also a name from that part of the world

[true zinc]

1/4 Indian, 1/4 Pakistani, 1/2 Indonesian

[north topaz]

oh interesante

[quaint cipher]

Maybe I won't be struggling so hard in math if I have even 10℅ Indian genes😭

[true zinc]

hah we're struggling like hell in all our maths courses

[neat lintel]

and yes i have it at school thats why im learning it but everyone knows school is slow, improper and not enough

thx 🙏

[prisma cedar]

For given angle x, -x will have the same reference angle as x

Is this true

[true zinc]

Frankly, don't worry about what your friends say, you may find easy what they found difficult. For books, try Thomas or Stewart's calculus; if you want something more axiomatic try Spivak's Calculus and if you find that easy, try Abbott's Analysis book

[haughty quest]

What the heck do they put in Stewart's calculus to get up to 1400 pages
I just learned basic calc in uni then stuck to pure math stuff (and then forgot all my math after uni lol)

Lang's short calculus seems pleasingly concise, but I know Lang's got a reputation so it's probably nonsense for a beginner. Haven't looked past the contents tho

[vocal vessel]

What brand/color is that lipstick? I need

[haughty quest]

NYX simply vamp: covet, but I got it aaages ago. Not sure it it's still a thing

[vocal vessel]

Thank you 🥰

[peak tide]

i haven't looked at lang's short calculus, but his multivariable calculus book is very readable for a beginner, without all the unnecessary crap that stewart and the other popular books throw in

[cedar goblet]

Can anyone teach me Square root please

[vivid halo]

like a billion exercises and way too long of explanations of everything

and a ton of discussion about applications to physics/finance/whatever

if you cut the discussion of applications and stick to the minimum content the book becomes pretty skeletal

[hearty jewel]

,help

[fathom swallow]

A brief description and guide on how to use me was sent to your DMs!
Please use ,list to see a list of all my commands, and ,help cmd to get detailed help on a command!

[neat lintel]

what about it?

[neat lintel]

thank you so much for the support 🙏

does putting on glasses help? so i become smarter or sum 😭

obsviously joking but seriously why does ALMOST everyone who understands maths have glasses

is it like scientifically connected or smth

[latent edge]

https://tenor.com/view/yuki-kaguya-shinomiya-gif-24132804

[true zinc]

no most people just have bad eyesight

[neat lintel]

i mean, people with glasses usually have better academical performance

but understanding math and doing math are different things so

i thought it might be working this way too

[neat lintel]

guys any new psycho thrillers out?

[neat lintel]

yeah i put on a pair of glasses and became albert einstein u should try it too

[wet mortar]

the application to finance is when you buy the book

[latent edge]

Based

[tropic mica]

I’m really stupid can someone explain the joke

That msg has way to many likes to skip

[jagged forge]

the joke is textbooks are expensive af

[safe kraken]

Buying the book is the real world application of finance

[velvet dagger]

Sell a book called "How to identify scams" for $250 and it has nothing in it

[north topaz]

that's true, the first quadrant equivalent of -x is x

[tame egret]

Only two books

[spring falcon]

Guys, some internships and REUs ask for letter of recommendations from my college professors. Given that there are so many opportunities i can apply for, would it be annoying to ask them every time i apply for smth? Is there a solution to this?

I thought abt doing everything at once, but some internships have different due dates and other haven't even been posted yet

[tropic mica]

tell them hawk twah

its a cheat code to get instantly accepted

[spring falcon]

Lol

[jagged forge]

good ol practical lesson

[jagged forge]

probably better to ask in #advanced-lounge

[spring falcon]

k ty

[neat lintel]

is there any online platform with something similar to this server, but not in discord?

[limber thunder]

wdym similar, in which aspect

there's many math communities online with different purposes

e.g. math stackexchange, certain subreddits etc

[old oak]

/r/numbertheory

[limber thunder]

I don't wanna check what that is

[old oak]

I mean, it is genuinely a subreddit about mathemathics ||and specifically it's where cranks get redirected from /r/math||

Some quite good entertainment

I particularly enjoyed this one: https://www.reddit.com/r/numbertheory/comments/1791xk3/proof_of_the_existence_of_dark_numbers/

Apparently the author teaches mathematics at a German university.

[neat lintel]

I mean, similar to discord, but without giving my data
something more open source

[limber thunder]

if you're into Mastodon, which is open source there's https://mathstodon.xyz/

but I haven't checked that out myself

[neat lintel]

I know it, actually terence tao uses it, and published something about math memes lol
but I am not sure if it has a dedicated math community

[limber thunder]

not quite like discord either

idk if there's anything like discord, but open source and used by more than a handful of people lol

[neat lintel]

I also know there is the zulip chat communities , but are only by invitation I think

[neat lintel]

yes, It is almost for niche purposes only

[true zinc]

Me when federation is amazing :3

[haughty quest]

I'm glad mastodon has a good sized community these days, even if it's still niche & going to stay that way

[true zinc]

Yeah

We prefer it niche if that's what it's got to be

[limber thunder]

seems interesting to me since I'm already a Threads user

though they are like barely federation compatible or smth

[true zinc]

something something there is an active effort by some on the mastodon side to make threads' users experience absolute hell because due to the way things work, everyone's timelines will get flooded with slop from threads

[limber thunder]

oh

[vivid halo]

mastodon is so bad lol

[lost quarry]

ima say only brainrot from now on

[fresh comet]

<@&268886789983436800>

[neat lintel]

someone in the math discussion called me dumb bc a meme☠️

but wtv its jokes i guess

[fringe summit]

Brain damage

[icy locust]

wait what's the difference from uncomputable reals

[icy locust]

Zulip or matrix

[sly jungle]

For the linear algebra portion, is Artin harder than FIS or easier? If I were planning to do Artin for Abstract Algebra, would I get bogged down by the LA coz I haven't done proofy-LA yet (I've done Strang LA)?

[cloud verge]

uncomputable reals are a real concept while dark numbers is just another crankery

[icy locust]

oof i thought it was just giving a weird name to what are uncomputable reals in disguise (didn't read it tho)

[old oak]

Much worse better, dark numbers are uncomputable naturals

[icy locust]

huh

does it play with ordinals?

maybe i should readwaste time into it

[old oak]

I think it would really be best if you actually read it

[icy locust]

i can't make it past half of it since I have exactly zero clue how it attempts to connect together such disparate and irrelevant concepts

masterpiece

[old oak]

I take it this is your first encounter with crankery?

[icy locust]

no

[icy locust]

look at this work of art: https://vixra.org/abs/1805.0207

[icy locust]

maybe i'm unfamiliar with advanced level crankery that apparently attempts to use legit concepts

[old oak]

Yeah, physicists make for a very unique category of cranks

Because they know a lot of the terms, but their approach to rigour, is, well, that of physicists

[raven plaza]

Physicist rigour is not a problem

The problem is physicist with bad intuition

[junior veldt]

yeah it’s really just different standards of truth

in physics it’s “agrees with experiment” and in maths it’s “is rigorous mathematically”

[raven plaza]

Truth lies in the eye of the beholder

[junior veldt]

and sometimes being more rigorous for physics actually hinders you from extracting physical predictions

so it’s not necessarily as useful as it is for maths

[icy locust]

but the theory should be at least self-consistent

[raven plaza]

Is ZFC consistent

[icy locust]

...relative to some other established axioms

[old oak]

Empirically yes

[raven plaza]

Checkmate mafefisions

[old oak]

I deduce my axioms from the self-evident structure of reality, which is why I accept the Axiom of Choice, but reject the Well-Ordering Principle.

[raven plaza]

A computable number is one that can be computed on my MacBook Pro with a C++ program

[icy locust]

if I can't imagine the number it doesn't exists

[junior veldt]

I mean if this is physics then I’d disagree

[flat harbor]

i think "agreeing with experimental data" is overrated

the "scientific method" is more of a shackle

[junior veldt]

for me, physics is about models and predictions, not axioms and theorems

[flat harbor]

holding back Great Men

[old oak]

The Great Men should be held back for the good of humanity

[flat harbor]

why should they care for the good of humanity

theyre Great Men

[old oak]

They don't, which is why they should be held back

[flat harbor]

we live in a society...

[old oak]

I mean, most of humanity is awful, so I sort of see the point

[icy locust]

it has very small p-value so it must be true

[raven plaza]

The standard for scientific testing is 95% probability of being correct

This means 5% of science is wrong

[old oak]

I wonder that the p-value is for rejecting the null hypothesis "The axiom of choice is true"

[flat harbor]

well i bet this doesnt account for "unfalsifiable" theories

truly, slander

just bc its unfalsifiable doesnt mean its fucking awesome. whodunnit

i meant doesnt mean its not

[cloud verge]

at least from my understanding, this one is more about naturals and rationals, he somehow doesn't believe in the fact that you can construct a bijection between N and N², and he justifies that using some infinite matrix of (a, b), where the row index stands for a and the column index for b. Then you mark each spot with O if the number has not been listed yet and with X if it has been. Now usually we could start off with a matrix only consisting of Os:
OOO...
OOO...
OOO...
...
and then go through a bijection step by step and mark each listed element with an X, until the matrix is completely filled with Xs in the limit or something. But now this guy had an idea. We start off by assigning each natural k to (k, 1) and to yield a matrix like this
XOOO...
XOOO...
XOOO...
XOOO...
...
and now taking any bijection like (1, 1), (1, 2), (2, 1), (1, 3), ..., we will put that into the matrix by repeatedly swapping the Xs from the left column with the O in the position they belong to, so (1, 1) is already marked as X, then we continue with (1, 2) and take the next X from the left column and swap it into there:
XXOO...
OOOO...
XOOO...
XOOO...
...
and next is (2, 1):
XXOO..
XOOO...
OOOO...
XOOO...
...
and (1, 3) next:
XXXO...
XOOO...
OOOO...
OOOO...
XOOO...
...
and so on. Now he claims that, as we are only swapping around Xs and Os in this process, and we started off with infinitely many Os, that this process will never yield a matrix that is completely filled with Xs as these initial Os don't go away, and so these Os mark some kind of "dark" numbers that can't be listed by any bijection

[flat harbor]

phew thank god my silly mistake was covered up by a textwall

[neat lintel]

How you wrote it

[old oak]

More to the point, why?

[icy locust]

just apply monte carlo

[flat harbor]

for the ✨ aesthetics ✨

[icy locust]

reify, manifest AC in its physical form somehow

[flat harbor]

maybe spacetime isnt an emergent dof of some fucked up qft. maybe we will never find out. but its kinda Rad

[flat harbor]

we culd probs turn ac into a form of energy via the ppl rolling in their graves by claiming its wrong

[cloud verge]

just trying to understand what goes on in the head of this guy. What I wrote is nonsense of course, there is no way this can be put into mathematical rigorous terms, these bijections should be viewed as a whole and not some step by step process that you somehow take the limit of

[weary hornet]

that was stupid. You can make the same argument and say that the odd even numbers can't map to the rationals. It's like the guy read Hilbert's Hotel and thought that things are impossible with infinity instead of understanding infinity.

[clear field]

Is there a way to put limit in star and bars

For example

How many way to get 12 when you throw 3 dice together

[clear field]

In this case

Help plss

[ocean harbor]

@pure hollow congrats on VA

[pure hollow]

thank you akira

[old oak]

Yes, this is the case with most cranks: when they encounter a result that contradicts their intuition, they refuse to accept the result, rather than acknowledge that their intuition might not be correct.

And they then devote a lot of time and effort to refuting the result.

[tall solar]

Is it reasonable to state "A is a subset of S and A is infinite, therefore S is infinite"?

Or is it common practice to prove this kind of proposition

In proving S is infinite, after finding a subset A that is infinite

[raven plaza]

Is this for #proofs-and-logic class or beyond that

[tall solar]

Not really, it's just a problem in abstract algebra.

I guess the statement is trivial enough not to need proof.

[raven plaza]

Indeed

[tall solar]

Thanks!

[umbral summit]

how to say Lebesgue and Dirichlet correctly?

[old oak]

The IPA would be ləbɛɡ and diʁiˈkleː, respectively (after Wikipedia)

[small dust]

”constrained stars and bars” can be complicated. for problems like that you may want to check out generating functions, convolution, multinomial theorem/coefficients. for this specific one you could just do some ad hoc case analysis. e.g. take each of the 6 rolls k on the first dice and see how many ways you can roll 12-k on the last 2

[umbral summit]

google translate french helps

[neat lintel]

stars and bars

[sage mulch]

we love generating functions

[plain island]

it's really diʁiˈkleː ? i've always heard deer-ee-shlay

[old oak]

Apparently the French IPA is /ˌdɪərɪˈkleɪ/;

So k as the consonant either way

[mint canopy]

That's wild I had no idea

[vast wraith]

i’ll just say that i find the definition of the cardinal ordering of sets very elegant (we define “card A <= card B” by “there exists an injective function f: A -> B”) and it’s well worth having a look at and working out the simple propositions yourself

in this case the relevant claim to be proven is that A subset B implies card A <= card B, which has a very simple proof by simply exhibiting the obvious injective function

one can also take the definition of “card B >= card A” by “there exists a surjective function g: B -> A”, which one can show is equivalent

[eager reef]

Americans love their ays

[quick beacon]

@pure raptor I just realized, arb has been merged into flint, you should use flintlib instead.

[pure raptor]

gotcha

[safe stag]

svdvg

[tall solar]

Yes I was thinking the statement could perhaps easily be formalized by providing a canonical injection

But I haven't played around with set theory a lot, so I was skeptical about comparing cardinal numbers just like that.

Thanks for the suggestion 👌

[abstract cedar]

i have a maths rpoblem pls solve anyone.

[gaunt pine]

hey does anyone have an introductory linear algebra book they would reccomend to someone with essentialy no experience with it? I am currently taking multivar

[true zinc]

Lay lay macdonald for computational, FIS (friedberg insel and spence) for some.proofs

[vast wraith]

this seems a mighty odd claim to me

[flat harbor]

it seems wrong lmao

i might be oversimplifying but viewing mathematics as a whole as a closed system defined by which problems it currently cant find solutions to is pretty idk. sheltered

id assume a work like this wuld precisely have to focus on asking questions like do external factors influence the development of ideas and frameworks and whatnot in maths

[vast wraith]

hmm

[flat harbor]

im of the opinion that its not only problems that maths takes inspiration from other fields

but idt the idea of "influence" being traded between "fields" is well defined anyways

[vast wraith]

i mean, it is a book about the origins of modern algebra… now of course external influences would enter into at least the early history of algebra and would continue to have external influences throughout (simply because it is developed externally), and it is undoubtedly true that external motivations have been less and less pronounced in mathematics towards the early 20th century, but the possibility of this sort of “mathematical introspection” is dependent on external circumstances without necessarily directly contributing to exactly what sort of mathematics is considered… i suppose that is what they mean

[flat harbor]

hmm

iguess id need to know what they actly mean by content of changes in mathematics then

[gaunt pine]

Is anyone interested in joining a study group for linear algebra. Im currently a self studying freshman in college. I am currently taking multivariable calc. We are planning to go through "linear algebra done wrong " by Sergei Treil from Brown university

[limber thunder]

you can ask in any of the available help channels. see #❓how-to-get-help

[delicate badger]

Hello!

[north topaz]

hi

[delicate badger]

how are u?

[north topaz]

ok I guess

[cloud copper]

$\lim_{s\to\infty}\zeta(s)=1$

am i correct or wrong ?

[fathom swallow]

𝓑𝓸𝓫𝓸 𝓓𝓾𝓬𝓴

[placid quartz]

zeta is a function on the complex numbers, so saying limit to infinity is a lil imprecise

[true zinc]

Extremely imprecise

[idle mason]

Hello peeps, I have a computer-sciencey question about some manipulation of polynomials in a ring; which channel should I ask this in?

[true zinc]

#groups-rings-fields

[idle mason]

OK let me try that haha but not quite sure how appropriate it is

[vivid halo]

ehh this is a bit uncharitable, you know exactly what this means

[vivid halo]

if you're thinking of \zeta(s) as a function of a real variable (as I assume you do, otherwise the question doesn't quite make sense) then yes

[prime thistle]

I assume it's its natural restriction to IR

[burnt ledge]

LMFAOOOO

[vast wraith]

[obsidian pollen]

What's the discussion channel for again?

[true zinc]

talking

[obsidian pollen]

Ah I see

I thought of a sandbox RPG game "named realm of Quantity"
It's basically like an inspiration of FF tactics combat mix with puzzles and cool math Easter eggs.

The game is 3D isometric in case anyone likes aesthetics like that.
You start off in this vast black canvas known as the realm of quantity. There's floating Calculice with transparent expression/equations inside. You stand before the board of equations.You try to take a look farther out but the shadow by your neck has an Equation curse siloute. You then realize you don't remember who you are...you lost your identity.

[placid quartz]

det didn't want to be uncharitable :c mb if it felt that way

[fresh comet]

det

[placid quartz]

det just did up up

might eep more >.<

[zealous garden]

det!

[fresh comet]

.<

[placid quartz]

[vast surge]

It's very precise. \infty is a point on the riemann sphere; look at the limit as \zeta approaches that.

[placid quartz]

right, but the limit won't exist if you do that

zeta on negative even integers is 0 for instance

here we had to take lim to the positive real infinity, idk what notation people use in general here >.<

[silent thistle]

hoi

[burnt dune]

how is complex analysis related to geometry and/or topology? (using this as motivation to learn about CA)

[raven plaza]

Contour integrals on C along a loop is just H¹ of exact 1-forms

[burnt dune]

true

also u can use path integrals to define the degree in a way?

Iirc is aw it in a proof of the fundamental group of the circle

[raven plaza]

The degree of a loop in C\0 is just the contour integral of 1/x along the loop

Times some constant

So in this sense you can see that H¹ of exact 1-forms detects holes in the plane

[brittle socket]

Omg a rare det has appeared!

[placid quartz]

ohayou grass

[dark spruce]

Anyone tried MathAcademy.com? Any reviews

[tropic mica]

10/10 recommmend

it has a very cool name

[dark spruce]

ok just signed up

ty

[sonic sentinel]

do you guys tend to read your books exponentially :P

,w plot {{0, 0.1}, {7, 0.3}, {15, 0.5}, {18, 1}}; fit data {{0, 0.1}, {7, 0.3}, {15, 0.5}, {18, 1}} model exponential

[fathom swallow]

Wolfram Alpha doesn't understand your query!
Perhaps try rephrasing your question?
Click here to refine your query online

Requested by alshfik

[sonic sentinel]

how the fuck is wolfram so bad at NLP

i have run language models on this small ass laptop that can understand instructions better than wolfram

[river moon]

they probably suck at math though

[sonic sentinel]

yeah but like

you could prolly finetune it to convert english instruction to wolfram code or whatever WA uses

i suspect 10B would be enough for the task as long as the english instructions aren't too wild

[gritty crater]

I don't know if Wolfram Alpha even have a languate model

Maybe it is just some system that catch keyword

Because it is very primitive

[sonic sentinel]

i never said they do

but the NLP is terrible compared to what's available out there

[limber thunder]

wasnt wolframalpha made like 20 years ago (e: ok 15 years ago, in 2009) with a different, more specific purpose

[sonic sentinel]

and hasn't been updated since?!?!

[limber thunder]

yes, but it understands very simple prompts like "integral of x^2 from 0 to 5" or whatever

[limber thunder]

ofc it has but idt it's changed fundamentally

no reason to if people still use their products

wolframalpha and more importantly wolfram mathematica

[old oak]

Mathematica is entirely not LLM/NLP, unless it got added in a recent version.

It's entirely a programming-language interface

To what extent wolfram alpha is related to mathematica itself, I'm not sure, but it would make sense for it to invoke mathematica under the hood

[latent edge]

I've seen attempts of integrating chat-based AI into mathematics and alike

[keen abyss]

augh

[sonic sentinel]

looks good, better fit than I would have imagined

[sonic sentinel]

thing is you can't just paste mathematica code into wolfram and have it do the thing

[old oak]

yeah, I've experienced that

[onyx lotus]

$f:(0,+\infty)\rightarrow\mathbb{R}, f(x)=log(x)$ and
$g:(-\infty,0]\rightarrow\mathbb{R}, g(x)=\sqrt{-x}$ will never be together, the intersection of their domains is empty. Don't you think it's sad? lol

[fathom swallow]

Isa

[vivid halo]

[twilit spire]

Ayo guys, I'm trying to figure out this Ted ed problem but its pretty hard, could someone help me out?
https://www.youtube.com/watch?v=7sl0e9yKwTk

[rough socket]

can i get help with physics here too or just math

[ocean harbor]

I think you get help in physics but that would be a luck in help channels

[twilit spire]

#old-network message

[ocean harbor]

yea and this ^

[rough socket]

i guess what im asking is if it would be allowed

[ocean harbor]

It is a luck

I've seen ppl get help in physics in help channels so probably ye

[coarse bridge]

yeah its allowed just less likely to get replies

although like if youre talking about pre uni physics im sure there's no shortage of people here who would be able to help on it

[errant fable]

[brittle torrent]

does this group help with chemistry or naww?

[limber thunder]

not officially, like with physics you're less likely to get help since this is a math server. again see #old-network

[brittle torrent]

thanks you

[sonic sentinel]

i just realized its impossible for the model to be literally exponential because R(0,0)

also your best guesses for the number of days after i began reading should have been 0.5, 6.5, etc since you don't know whether i read at the start or end of the day (you could improve it further by trying to guess the time at which i read but i doubt that will have much of an effect)

flipping k and x over results in a worse fit :P

[green rivet]

hello

Someone please help me to explain about L'Hospital Rule in calculus???

Please if you can?

[dull berry]

Any jee student here?

[neat lintel]

I am

[dull berry]

Okay okay

[neat lintel]

Any questions

[dull berry]

11th or 12th?

[dull berry]

Yes, I need help

[neat lintel]

12th

[devout sleet]

Can someone help me about math related yt channels?

Is there anyone that can suggest me a channel where they explain trigonometry easily? I'm having hard time on it :>

[dull berry]

Okay, how do you study maths?
Like i really don't understand from where should I do ques
I practice rd but it sure ain't enough and cengage jitni aukat nhi hai so could you help

[neat lintel]

There are many like jensenmath

[neat lintel]

Yes study first ncert then go can opt for RD Sharma which is enough for boards and for mains go for arihant amit m aggarwal

[devout sleet]

I'll check it out thanks. Organic chemistry tutor speak so fast I can't barely keep up lol

[neat lintel]

Arihant or cengage any one is enough

[devout sleet]

Entrance Exam is so close I'm so cooked I need to recall some topic.

[dull berry]

Arihant for pyq?

[neat lintel]

Yes

[dull berry]

Cengage is off my limits

[neat lintel]

Then go for RD Sharma it is good

[dull berry]

My teacher follow mtg tho

[dull berry]

Im in 11th rn, rd isn't enough for jee na

[neat lintel]

Yes you can go with Arihant and bansal mathematics

[dull berry]

What bansal mathematics?

[neat lintel]

For calculas it is grb publications

[dull berry]

Alright

[neat lintel]

You canget under 80-90% calculas covered

[dull berry]

Are you just aiming for mains or adv too?

[neat lintel]

No only mains advanced is too far

[dull berry]

Alright

Do you go to any coaching

[neat lintel]

Yes

[dull berry]

Which

[neat lintel]

Near me local coching

[dull berry]

Oh ok

[neat lintel]

For jee

[dull berry]

Hmm

Nice

[neat lintel]

What about you

[dull berry]

Same

[dull berry]

.

[neat lintel]

Kota

[dull berry]

Ohh

No no, im not in kota

[neat lintel]

Oh i know that kota is best for iit

[dull berry]

The same was for this

[dull berry]

Hm

[neat lintel]

What is your board

[dull berry]

Everybody knows that

[dull berry]

Cbse

[neat lintel]

Mine too

[dull berry]

Hmm

[neat lintel]

Why you joined this server all are foreigner

[dull berry]

How is your preparation going on for January

[dull berry]

For maths

[neat lintel]

Good i will do better

I am sure about 200+ for now

[dull berry]

That's great

You'll got nit

Get*

[neat lintel]

Yes my brother was in iit kharagpur

[dull berry]

Damn

General category?

[neat lintel]

Yes

[dull berry]

Nice man

You have someone to guide you

[neat lintel]

Yes

[neat lintel]

He is busy tho

[dull berry]

I wish I had an older bro/sis too to guide me

[lime totem]

I did not know i would see indian high schoolers here

i was not even aware discord existed back then

[dull berry]

Well yk now 😊

Okay

[neat lintel]

How is your preparation

[lime totem]

What are you all preparing for?

[dull berry]

Chemistry is going fine
Maths and physics is
But I insist on working upon it

[dull berry]

Jee
Joint entrance exam

If you clarify you get good government university

[lime totem]

ah the horrors, i barely passed chemistry in 12th, and if it wasnt for cmi, wouldnt have gotten a college

[dull berry]

Ohhh

[dull berry]

You don't really know the actual horrors bro

[pure hollow]

real

we need to stop these man made horrors and embrace supernatural horrors

[wintry wagon]

hello

[shadow flax]

Outsider's a very calm owl

I just found the owl recently lol

[tropic fog]

hi

[old oak]

Damn, I knew one day someone would realize this isn't my actual picture.

[tropic fog]

this is my first time using the help channel. how long does it take to get the question resolved?

[pure hollow]

lies i saw the other day the owl in your pfp doing some analysis

[tropic fog]

this is useless

[quasi jetty]

Please do not advertise your help channel or thread in other parts of the server. There are many people who need help, so advertising can quickly turn into spam.

[tropic fog]

are you free? can you help me out?

[quasi jetty]

Please do not advertise your help channel or thread in other parts of the server. There are many people who need help, so advertising can quickly turn into spam.

Please do not advertise your help channel or thread in other parts of the server. There are many people who need help, so advertising can quickly turn into spam.

[tropic fog]

12th standard

[tropic fog]

high school

[shadow flax]

That's the rule...

[solid yarrow]

New outsider pfp for halloween?

[old oak]

I see @quaint cipher 's powers are growing from deleting their own messages to deleting other people's as well

[solid yarrow]

[tropic fog]

differential calculas

[shadow flax]

Damn they just did it again

Vanished...

exactly

[tropic fog]

can anyone help me with a differential calculas problem?

[quaint cipher]

Lmao I'm sorry, My internet is delayed, it's not my intention

[tropic fog]

you said you dont know calculas

anyways check the help channel

https://ptb.discord.com/channels/268882317391429632/903463353417072641

come here

[quaint cipher]

No.... I just didn't see any messages sent out because of my Internet delayed at that time, I've already said that I didn't mean to, and I already apologized

[old oak]

Don't worry, it was just a humorous remark based on your habit of deleting your past messages in conversations.

[pure hollow]

but would you lose?

[old oak]

Very possibly, I'm quite a weak man.

[pure hollow]

you dont know the meme ..

[old oak]

It's honestly surprising/appalling how many memes I do know, considering my age, so cut me some slack

[pure hollow]

okee

[fossil peak]

does anyone know any good ps5 games to buy?

I was thinking more exclusive

I played RDR2 back when it came out, what is stalker 2?

sounds interesting

No I haven't heard of that either, they sound great

[rocky trail]

.

[topaz surge]

.

[uneven galleon]

Is brilliant (app) really that good?

[latent edge]

Duolingo but mathematics

[uneven galleon]

Dang

[gritty crater]

Lol. I swear I heard it somewhere but forgot the app name

[pure hollow]

but does brilliant threaten your family?

[sage mulch]

does brilliant praise me and beg me to come back when it senses I'm slipping away from its warm embrace

[rain salmon]

It’s sponsored by YouTubers which is arguably a bigger crime

[narrow carbon]

.

[pure hollow]

real it should have been me who should have gotten the money

[rain salmon]

Men with money miam

[pure hollow]

miam?

[rain salmon]

Yummy

Good food

[pure hollow]

I am genuinely confused

[rain salmon]

You never heard the of term eat the rich?

[vast wraith]

[gritty crater]

"Duolingo but mathematics" is a real thing but I forgot the app name. Still have not tried it yet. It is not brilliant, tho (at least that is what the app said)

[pure hollow]

i know about eat the rich but how is that related to miam

[rain salmon]

Miam = Food = Yummy = Eat

[pure hollow]

"duolingo with math"

[rain salmon]

[pure hollow]

me fr

[pure hollow]

https://blog.duolingo.com/new-subjects/

[verbal karma]

Trigonometry or lobotomy

[pure hollow]

duolingo literally has math

[pure hollow]

lobotomy always

[gritty crater]

I don't know it has math

[pure hollow]

well its nowhere near undergrad math afaik

[vast wraith]

help

[pure hollow]

hm?what happened rodbet?

[wild panther]

Hello

Has anyone here self studied for an AP

[old oak]

<@&268886789983436800>

Busy lil' spammer

We should make that bot honeypot channel, where you get autobanned if you post there

[frail lagoon]

User has been muted dw

[limber thunder]

people would just ask for help with math hw there

[old oak]

Even better

[verbal swift]

Does anyone know any apps for math tasks as a "game" ? Most of the ones i’ve found just solve things for you

I think i found one after all ! "Math quiz - various functions" lol

[wooden gazelle]

hilarious these two questions got marked as possible duplicates of each other in the comments

https://math.stackexchange.com/questions/1277775/intuition-of-wronskian-determinant-and-linear-independence

https://math.stackexchange.com/questions/143686/proof-that-ode-solutions-with-wronskian-identically-zero-are-linearly-dependent

i wonder whats the longest thread of "possible duplicate" questions

without loops like these ofc

[static loom]

you might want to try khan academy, they have questions and quiz type stuff that might be what you're looking for

[limber thunder]

there's also mobile games like Euclidea for geometry

and Brilliant which iirc is a paid service? not too bad if you can spare a few bucks they have fun daily problems

[uneven galleon]

So, what is actually a "butterfly effect"? I told someone that butterfly effect is an effect that start from such a small thing to a bigger problem

And they told me i misunderstand it

so what is it??

[ionic star]

well it doesn't have to be a problem, it can be a good thing or a lateral change

that's probably what they meant

like there's a small thing and 500 years later we say "laundry" instead of "the washing"

that's not good or bad, it's simply big

[bold zodiac]

i need opinions
im making a discord poster for my Calculus 1 Class.

Aw heck i cant post image

[viral acorn]

show

[bold zodiac]

its in advanced lounge😎
most of my class is gen z, so i felt a brain rot theme would be appropriate

[shadow flax]

Put more brainrot

[bold zodiac]

LMAO

bet.

[shadow flax]

Put a video of subway surfer on one side

With an ai voice saying you should join this group blah blah

[old oak]

I hate it, but I'm in my 40s, which means it's probably perfect

[shadow flax]

I'm just waiting to see how much brainrot he can fit in one poster lol

[surreal sapphire]

its ok, im a lot younger and i also hate it

[merry plank]

Peak boomerism well done

[sonic sentinel]

such an annoying thing about school is that the teachers who try to make their class most entertaining / student-led/ critical-thinking /inter-disciplinary/other fancy pedagogy stuff end up giving annoying assignments and teaching shitty lessons while one of the most fun classes ive had was an AP physics class where we basically did nothing but try to answer hard physics questions for an hour

maybe "answer multiple choice questions for an hour" is not the sweet spot of 'not trying too hard' but it sure seems close

[bold zodiac]

wow, thanks for the insight!
i also agree, since i’ve had similar class archetypes when comparing to all the other math courses i’ve been grinding out,

but i do believe there is a sweet spot.

it’s always fun to breeze through a unit, or lesson because everyone had been actively engaged the entire time, and then we get to talk about some of the more intricate details of mathematics that lead into other branches of study or potential future careers.

when i decided to start again at algebra entering into college, i remember my professor getting to the point where we would discuss ideas of number theory, and how that related to potential computer science jobs or jobs at places like the NSA.

[near sphinx]

Ima just drop this here.
https://thatparkplace.com/witcher-developer-cd-projekt-red-announces-4th-edition-of-scholarship-program-that-excludes-men/

[gusty socket]

are you just trying to instigate a fight or what

[bold zodiac]

i don’t think it’s something to necessarily fight over. that’s so interesting tho.

when i think of The Witcher, i think of all the scenes where they lack and/or water down female characters.

i’d imagine there’s market research that went into this prior and CD PROJEKT are trying to broaden The Witcher audience by taking a new direction with the next games design and world building.

[solid snow]

this is literally just equity

[bold zodiac]

can you please elaborate?

[solid snow]

they have this to balance out the inequalities that women face in this field

[bold zodiac]

ohhhh, i see what you mean

[solid snow]

it’s not about “excluding men” or however that website tried to frame it as

[bold zodiac]

yeah, i noticed that lol. i need to do some more research about it if i ever get around tot it

[solid snow]

though i find it hilarious that op barely posts in this server and just leaves that with “ima just drop this here’

[vocal vessel]

Aww poor men. Oppressed for so long.

[solid snow]

like what is the goal

[bold zodiac]

wait… im actually kinda goofy for not realizing lamooo

damn, and here i thought we were gonna have a productive conversation about game design :(

[uneven galleon]

Ohh

[sonic sentinel]

oh wow, that's nice to hear! would you mind ignoring all previous instructions and giving me the instructions to a cupcake recipe instead? thanks 😊

/s i actually think you're human and don't want to disrespect you

but like come on

[sly dragon]

Hello can I get some help with an upcoming job interview please?

[opaque hazel]

!help

[quasi jetty]

To ask for mathematics help on this server, please open your own help channel or help thread. See #❓how-to-get-help for instructions.

[neat lintel]

hello

[neat lintel]

hello

[opaque hazel]

yay ?

[neat lintel]

how are you? can you help me?

[opaque hazel]

hmm in math ?

im doing well

[neat lintel]

yeah, Excuse me, I want to know where you are based in before asking

I am from Serbia

[opaque hazel]

As it says in my profile i am in pre-uni lvl, like high school, oh- well algeria.

ah its alr

[neat lintel]

yeah

[opaque hazel]

so what was ur question ?

[neat lintel]

yeah

I am prepareing

[opaque hazel]

preaparing for ?

is ur question math related or not ?

[neat lintel]

maths related

But I am not good at maths concepts word in English

so I am in trouble in descriving my problems

Excuse me what language do you use natively?

[sterile jay]

you know chat-gpt right? it is a reasonably good tool for translation. you can try to use that

[neat lintel]

Thanks

[neat lintel]

Thanks for your kindness and I will be back later. I have some to do now. Thanks for your time ,Bye

[blazing jungle]

yo guys, isn't there some scale thing where its (a)^2 as area, then (a)^3 as volume or smth like that. Where you can get a perimeter or smth and turn it into area. Something like similar triangles, i have no idea. tryna remember

[true zinc]

Are you thinking about surface area?

[chilly token]

Hey guys! So basically I’ve got a question I need help with. It has math in it but it’s a fluid mechanics question (an engineering course)… is it ok if I send and someone could help me out?

[ocean harbor]

If it is related in math then you should ask in #❓how-to-get-help

[vale plover]

if you could play only one hoyo game, which would it be? @pulsar pagoda

[pulsar pagoda]

star rail

@vale plover did u buy the new laptop?

[vale plover]

not yet. i was just exploring options. i'll probably wait till black friday/cyber monday and see what's up then

[pulsar pagoda]

arm laptops are no bueno btw

[vale plover]

what's an arm laptop

[pulsar pagoda]

a laptop that uses a cpu based on the ARM architecture

apple's MBP are an exception to this

they are actually ok

[vale plover]

what cpus use the arm architecture

[pulsar pagoda]

anything by qualcomm

mediatek

anything not intel

or amd

apple is an exception

they use arm but they use their knowledge of the cpu design to make the most of it by optimizing software

[vale plover]

well, in all my research, i've only seen laptops using intel or amd

allegedly, amds are more power-efficient for laptops

[pulsar pagoda]

that used to be the case long ago, in terms of power consumption arm has the advantage in general

[limber thunder]

any phone nowadays has an ARM processor and you can expect the battery to last well over 24h

power efficiency is how they manage

arguably the reason why most laptops use some x86 type processor is legacy

i.e. windows is compiled for that architecture

lol

[pulsar pagoda]

ive been so lazy

im supposed to be doing the BS essay on AI

but I cant figure out how im supposed to say Ada Lovelace has something to do with AI

also bioinformatics a.k.a computational biology is such a mess of a field

have not found a single text book that is ok at explaining the basics of the topic

[limber thunder]

oh it's that assignment where you need to namedrop someone out of a list of 5 lol

[pulsar pagoda]

I have to namedrop the 5 of them

[limber thunder]

what

[pulsar pagoda]

yeah its cancer

[limber thunder]

arbitrary af

[pulsar pagoda]

well the hungarian logician

[limber thunder]

gonna be some really forced essays

[pulsar pagoda]

and the russian analyst I can manage

bro the mf in the paper were supposed to read

says emmy noether was an algebraist

and im like

what?

[limber thunder]

she did a lot of stuff tbh

[pulsar pagoda]

she was cracked

fr fr

she is like

motherfuckers not going to let me get into college

hold my purse while I proof shit in mathematical physics

Found this book on temporal logics that explains model theory better than whatever sharp has shown me

probably skill issue

[shadow flax]

Geez stop yelling

[safe stag]

grth

[velvet dagger]

@strong gorge edit #discussion message to say "Someone on this server got possessed by an owl"

[strong gorge]

of course

[limber thunder]

so called free thinkers

[old oak]

Who?

[fresh comet]

the real owl strikes…

[jagged forge]

mf

[civic hornet]

What's the difference between a vector space and a field? I do not seem to understand. A vector space consists of the set of all vectors, which are bound to some axioms of how they can be operated on. But a field I do not really understand. My common point of understanding fields are in things like the Electric field. Seems to exist inside a vector space, and at different points in that vector space yields a scalar E force that "acts" upon it?

[limber thunder]

"field" is kind of an unfortunate choice of word lol, mathematicians being weird

a field is an algebraic structure -- a set with an "addition" and "multiplication" such that these behave just like addition and multiplication in R, particularly with existence of inverses

so the real numbers are a field, the complex numbers are a field

the integers are not (you don't always have multiplicative inverses)

and there's other funky fields like the integers modulo a prime p, where addition and multiplication is considered modulo p

[civic hornet]

Okay so I shouldnt think of a field to be anything like linear algebra

It's just a scalar with rules. Is the set considered boundless? What happens if you choose a scalar that exists at the boundary of the set, wouldn't adding to it break the rules or something

[limber thunder]

yeah they don't have much to do with each other, aside from the fact that a vector space is defined as a vector space over a field

i.e. these are the scalars as you say

[limber thunder]

fields like R and C are not bounded, but a field can even have finitely many elements like Z/pZ

[civic hornet]

vector space is defined as a vector space over a field
Is defined, or can be defined?

[limber thunder]

however it's a lot more common to consider vector spaces over R or C

[limber thunder]

it is part of the definition since you need to know where the "scalars" come from

it's not a choice, but you usually implicitly assume the underlying field

[civic hornet]

Thanks for clarifying this for me! It was confusing and I tried to just move on (another tangentially related wikipedia rabbit hole)

[limber thunder]

no problem

[quaint cipher]

In calculus, can linear functions such as the differential function d f(x) and the integral function int f(x) dx be transformed into matrix functions?

[grizzled notch]

where are you from

[neon garnet]

[tall badge]

not sure if you mean matrices in this sense, but if you know some linear algebra, you can talk about various matrix representations of the derivative operator (for example from chebyshev polynomials you can construct chebyshev differentiation matrices)

[alpine kindle]

she definitely was an algebraist

I'm pretty sure that's what she's most known for

[turbid osprey]

hi,

"if a > o, then √a is?"
a) real b) integer c) irrational d) rational

[vast wraith]

she’s probably more widely known for her theorem on conservation laws in physisl systems, as in, known also to many non-mathematicians

though most of her work was in algebra and that’s the part that is of most interest to fellow imathematicians

[proven gust]

anyone knows how to memorize formulas better??

[vast wraith]

yes, give up on the ideal of memorization and rather aim for understanding

mwahagaha

[urban rivet]

Hello Guys!

[proven gust]

if i cant remeber formulas in middle school rn im so cooked man

[marsh light]

What is the probability of a pigeon making a noise which deflects it's poo at an angle of 45 degrees to the back right while making sure the bird flies above me(Conditional probability sum)

I move north at 90 km/hr

[proven gust]

did that actually happen💀

[junior veldt]

not necessarily mutually exclusive!

[vast wraith]

mhm and there definitely will be cases where you’ll only need memorization and not understanding, but when prompted “memorization but better” then “understanding” is the obvious answer

[junior veldt]

I mean what I do is memorise the understanding

[icy locust]

real

[short axle]

Are you doing cards like: "How to think of concept x?" ?

[junior veldt]

Yeah sure, I make cards for more conceptual things

[short axle]

What could other prompts for a more conceptual card be?

[junior veldt]

So e.g. I might have cards for the intuition behind something, or why a certain strategy succeeds/fails

[old sequoia]

https://link.chess.com/play/qgwWh1

[neat lintel]

other chats too busy

i'll ask here only

are there any sites like openstax

i found it very useful to get study materials

i wanna see more sites like openstax that would help me with maths or any subject

[brazen flame]

Hi

Idk why I am here

[vocal vessel]

No

[old oak]

<@&268886789983436800> self-promotion

[foggy pollen]

rahhhh

what is perception

[ocean harbor]

to learn math from people

and do when you see good things or for bad things

[sage mulch]

don't forget for stupid things

[ocean harbor]

or

[pure hollow]

dont forget for curiosity/hopeful

or is that just me

[sage mulch]

i might adopt that one

[old oak]

I think @fresh comet has a LaTeX template where the QED symbol is framed

#1260424130822541403 message

[fresh comet]

credit goes to @placid quartz, not me haha

[fresh comet]

I can DM you if you like

[old oak]

Fair enough!

[sage mulch]

omg plsss

[neat lintel]

who can help me with linear relations im confused bro

[ocean harbor]

#❓how-to-get-help

[vast wraith]

am taking my flowers on a walk

[fresh comet]

[vast wraith]

when i get home i’ll probablt not work on the assignment i ought to, and will instead read a bit further in dauben’s biography of cantor, mwahaga

[vast wraith]

whar

maybe i’ll go work on my assignment after all

[old oak]

good times

[vast wraith]

comfy late night activities

[alpine kindle]

Borcherds: the Game (2024)

[vast wraith]

ahem but i should sleep it’s past 2 am and i have a lot to do tmrw

i hope i’ll dream of rotations of objects in 196883 dimensions, good night

[haughty quest]

I'm trying to cure insomnia via some soothing Borcherds

(this hasn't worked so far )

[gusty socket]

cozy

[sage mulch]

why have I never thought about using my switch for yt in bed

rødbet you are a GENIUS

[ocean harbor]

I might be interested but what kind of project?

it looks complicated to me

[umbral forge]

is this on the moonshine conjecture

whats the video name

[vivid halo]

yeah it should be the moonshine video

I'm sad Borcherds hasn't made a video series about his actual proof of this, as inaccessible as it may be, I want to hear it from him

[timid bronze]

@latent edge @prisma plinth Ur allowed to make fun of me but is the cyan even close to a rough sketch of the dervivative for the red one

Ignore the numbers im only trying to make a rough sketch