#serious-discussion
1 messages · Page 230 of 1
these are specifically different than regular frieze patterns. two things with the same name
- Analysis and dynamics on quotients of buildings (current project falls under that umbrella)
- Combo/CS side of high-dimensional expanders (including applications to (quantum) error correction)
- Cohomology of arithmetic groups
Everyone can learn & do math
Are my top 3
I feel like this was directed to me.
pure math is so hard breh and its not really something i wanna do. but i respect passion in ppl and always tell my friends speak their heart out on their passion in my dms
SL_2(Z) mentioned
even if i dont understand it
Hey thank you! :) I really appreciate it. And hey chem is no walk in the park either and you're rocking it
i like listening
You don't have to be a math major
we have similar interests haha
that's really based lmao
Well i better or ill be causing an explosion in the lab..
nG is a bit different
I really respect those who study math for their own personal enrichment outside of the academic ladder
this too
I am doing math whether I stay in academia or not
Yeah I don't anticipate staying in academia at this rate
Get to blame DOGE instead of myself for that :P
MAGA my ass
I do math outside academia
LOL same
But honestly I'm not too upset because truth be told I'm not sure research is my speed
Like I'm just as happy to learn existing math from 10 areas and not do original things
Perhaps even happier
Compared to doing research in a specific one
Plus I can branch out from math a bit
cna u do research in why america hasnt enforced age limits on presidency yet?
Dami do u graduate this year
fun fact, UMNs harmonic analysis and automorphic representations seminar is abbreviated to HAAR
Dami more like fami-ly
That's clever lol
Quantum physics, neuroscience, philosophy, psychology, history, etc
Yeah this coming academic year is my last. I'll be remote
Isn’t it swag that we keep breaking oldest president records election after election
Let’s aim to be number one!
So you don’t graduate this year
And why tf u remote
Where u living if not the glorious pastures of Madison Wisconsin
My advisor is in Australia, and that way I don't have to TA during job apps
Oh
Peak
Are you gonna be in Australia?
speaking of australia
i hear au is really bad for math academia…
i. never knew how jacked kangaroos were
Why
Nah I'll be in Texas
like wtf
G’day mate!
Why
🫂
With family
Yeah they modeled themselves off of me
in elementary school they made them seem so cute and tiny
Its obvious
but bro theyre jacked
O
NOT IN ELEM?
My advisor will advise me online, I'll be with family so no expenses
i just know all the lady kangaroos r going crazy over them
And just apply for jobs
I would 1v1 with a kangaroo
I C
Nah u wouldnt
Of course you would
someone who did a masters there told me the funding was just so bad no one could study what they wanted. ive really only heard one account of this though
You would and then die swiftly
I'd win
There are two types of people
Hmm
I see
My primary area is going to be somewhere in Europe
just cuz im sick with USA/Canada stuff
this is so real 😭
i have four or so years before deciding but luckily i know the USA will now have less international applicants
i saw a species of bunnies that r like so big and huge
i want them.
I love bunnies sm
👯♀️
theres the cute bunny that keeps hopping by my door

Flemish giants?
YESS lmaoo
Bunnies are actually so cute
AWE
this emote reminds me of carla shed send it a lot 👯♀️
Not joking
Look at this one
how can it even see… 
Massive. I would 1v1
Everyone place bets on who wins
we are eating roo tonight 🔥 🔥 all my money on deltoid
I'd def win if I was against the kangaroo
wait no bc
I'll arrive at my hotel soon! So within the hour
iactually laugh so hard seeing them be called the roo in australia
i saw comments of it under a video of a kangaroo scatching someones window
which btw if that were at my house i think id run away
Australia wildlife may very well be an active deterrent to living there as far as I'm concerned
Nah thats a beast
jokes aside kangaroos are one of my fav animals
roo hands are rated E for everyone. its like that AU math tournament called kangourous sans frontiers
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#Roobreakswindow #RagedRoos. ‘Geoff’ the kangaroo is a household name. Ever the inquisitive marsupial he took his reputation to a whole new l...
🦘 baby
tehir claws r so huge
Maybe if Sydney or Melbourne is more insulated from the stuff but
THATS A WHOLE MAN…
I KNOWWW LMFAOOO
I have a gym buddy that 1v1'ed with a lion before for fun
that shits destroying me in 3 secs
Are you sure they did that? Or were they just lion to you?
If they did that would actually be mad impressive but
Yeah they had videos
Bro what
They are impressive af
That just feels so difficult
Ts did not happen
yes it did
OH OK YAY
i was there
lucky
In Australia you get the roos but here you get bears
I could 1v1 a t rex i bet
malaysian sun bears are scary. also notorious for looking like men in suits https://ichef.bbci.co.uk/news/480/cpsprodpb/BDC3/production/_130597584_standing_bear_4.jpg.webp
i lowk want to get a bit back into gymnastics
i lost my ability to do a handstand
Oh shit what
the way its standing LFMAO
wtf
no way this is a bear

A couple of years ago I went on a trip with my family to camp and at the night a bear was literally near us but didn't attack the tent
that shit was very scary ngl
I'd probably 1v1 now if I saw them again
Hi , i am here to learn mathematics!
I've heard of a person who beat a leopard actually
you would lose
My plan
Posting cursed stuff? Ally wins
I'll ragebait the T-Rex and say Nah I'd win
just wanted to say this was funny even if deltoid missed it
Then ill lure him to a body of water so the Mosasaurus can eat him
Oh this reminds me of that one shtick which contrasts how people think dinosaurs sound with that one reconstruction

Rosy slams ngl
I'd always win
nah, I'd win
LOL
I can do a foot stand
you should try for the olympics
Impressive
how long havent you done gymnastics for
I killed a spider that has been wandering around my house
Normally I wouldn't kill spiders cuz I like spiders but this one annoyed the shit out of me
Why?
I was writing my math notes when the spider just suddenly jumped off from the ceiling to my desk
Valid
welcome to the server @brisk halo
Since middle school which is dozens of years ago now
You aren't even two dozen years old...
Single millennium ahh
f(x) = higher
Γ(f(x)) = (higher-1)!
f(x+1) = higher+1
Γ(f(x+1)) = (higher+1-1)! = higher!
Hey I’m single-millenium and I’m over two dozen years old! #NotAllNoughtiesBabies
Whippersnapper
Alright grandpa time for a nap hm?
That's too accurate to be funny.
I was born at a very young age
🔥✍️🔥
That sounds very annoying
Btw deltoid
How long have u been doing martial arts
dude have u ever had to deal with a spider that's carrying a sac of like hundreds of eggs that are about to hatch
and you have to be careful with how you kill it cause you don't wanna disperse a fuckton of spiders everywhere if you fuck up
i've only encountered ts like once in my life but it's wild
well twice, one time i killed it and second time it was like right outside my door and there wasn't a great way to so i like guided it away

Yes.
Yes.
Mention me next time Vero since I didn't see your message
For context I had a fucking tarantula as a pet
Seriously tho
I started at a really young age
Nowadays I mostly do it for the funzies lmao
too locked in on gym
Bro's nickname is Deltoid for a reason
clarification:
was the tarantula
fucking?
Yes.
WHAT was it fucking 🥀
bro at last some shit that is actually presentable
this prof has some horrid shit going on holy crap dude
THIS IS NOT FUN
what class is this lmfao
It's for research
ah nice
please focus on the paper
alright let me read adjacent stuff that relates to langlands
4 pages of proof for a fucking lemma when you can one kill it with a simple argument 
this prof doesn't mind computations at all
literally my opposite
Get this man an automorphic form over Sp(2n,R)/U(n)
Real
galileo’s balls has to do their job better smh
lmao
Something incredibly obvious I haven't realized until now
Every homomorphism from $SL_2(\mathbb{Z}) \to \mathbb{C}^{\cross}$ has image in the 12th roots of unity
Deltoid
Stares at you, modular discriminant with weight 12
Unfortunately I've been getting exposed to a lot of algebra
guh i don’t see why, i know the domain is generated by two elements of order two and three
hmmmmmmm
Are you sure 
the elements have orders 4 and 6 resp
oh right i was thinking PSL
oh lol
yeah in SL_2(Z) the determinant is 1
I also hate how confusing it can get with PSL vs SL
I've never seen PSL in number theory that much
It's most likely SL
PSL feels very geometry based
@coarse bridge @gentle birch
is he really timed out
bye..
anyways u both sleep wtf
Yes. Actions have consequences.
im going back to sleep i accidentally woke up after 4 hours
Ok so does ur constant all nighters
dude i don't have a prayer of sleeping before like 11am 🥀
i'd rather just stay up and correct today
ok this part is true
but i acc don't pull all nighters very often nowadays
cause i end up sleeping anyways
mhm i still don’t quite understand the details but i thunk PSL is like rotations and SL is like reflections 
Like tysm u find me so interesting u talk ab me for a whole night
u wish
PSL is determinant +/- 1
SL is fixed
I'm pretty sure there is a cohomological explanation for this but alas I don't know enough machinery
and mod +-1 !!
yeah
algebra of arithmetic groups is really nice
I just need to learn cohomology then I would be unstoppable
hiii walter
hello 
walter
i haven’t had the opportunity to do anything particularily walter recently 
You can derive a presentation for SL(2, Z) if you know the fundamental domain and those generators and stuff. From this you can compute the abelianization which ends up being Z/12
And then any map SL(2, Z) -> C* will factor through Z/12, hence has image in the 12th roots of unity
yeah
lovely
group reps in U(1) moment
walter do you think this makes any sense 
Sorry I've been bad about reading the stuff you've sent me. I'll get on it this week, I have more time now
The abelianization should be isomorphic to the first homology group I think right
no worries even if you never do it
its silly stuff
Well geometrically, the action of SL(2, Z) on H^2 factors through PSL(2, Z). But if you consider the SL(2, Z) action, everything has a non-trivial stabilizer. In terms of moduli interpretations, considering SL(2, Z) \ H^2 as the moduli space of elliptic curves, the Z/2 stabilizer of an element corresponds to the order 2 automorphism given by the elliptic involution. I guess this is nice to keep track of in number theory but also in geometry/topology methinks

Yeah, you can either compute this from the bar resolution, or if you think of group homology as the homology of a K(G, 1), then this follows from the Hurewicz theorem
I get nausea when I start to study does this happen with anyone else?
something something analysis of reps
@latent edge wait how do u get 12 from 6 and 4?
lcm(4,6)
I still want to understand it without heavy terminology
Like straight from knowing that we have 2 generators with order 4 and 6 respectively
you might have to use noggin for this
Okay
noggin users
why does delt confuse my noggin that's already confused
GUYS PLS HELP-28
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.
hi everyone I have a question
and it's from my minecraft gaming experience
so in a big desert I wish to visit every village with minimum backtracking
especially group actions, they have consequences for my mental health
I was trying to figure out best strategy possible but I failed doing so
I don't know if that's some kind of graph theory problem because I didn't learn that
it is a graph problem, but the question is how the villages are connected
as in, if you're in some village can you just pick any other village and go to it in a straight line?
if yes, then it's finding a path that visits each vertex in a complete graph at least once
yeah you can fly to each village with elytra and rocket
so it's possible to connect them with straight line
since it's a graph constructed from distances in an euclidean space, you have triangle inequality and hence minimal path can be proven to not contain any duplicate vertices
so it's a hamiltonian path
and finding minimal hamiltonian path is a hard problem unfortunately
in practice I can accept duplicate vertices
yeah, but that won't make the travel distances shorter 
the fact that it's distances graph can be probably exploited in some way, but i didn't study TSP at all so i won't say anything about that

What if we use approximate algorithms?
but if there's only like a small amount of villages bruteforcing works
yeah apparently euclidean TSP has PTAS
Oh I was thinking of the Christofides(?) algorithm at first
I think in practices there are just dozens of them
not like several hundred several thousand of them
yea, ptas just says that you can give a polynomial time algorithm for approximation within any fixed epsilon you specify
I see!!
though i assume that yumeko is looking for an algorithm that is simple enough to compute by hand or sth
Oh.
and that would be some greedy algorithm probably and these are known to be awful in TSP, (idk about euclidean tsp)
yeah because I just want to collect every 11 cat in game and they mostly spawn in village
so it would be nice to compute by hand without actually running some algorithm
some heuristic off the top of my head would be looking at the villages and partitioning them into "clusters" of villages that are more or less close together, then grouping clusters together etc. and then moving only within the smallest group that hasn't been fully visited
this way you won't end up with visiting most villages and then having to travel to the other side of the desert without doing anything along the way
If it's just tsp
Just use local search
OR tools does a local search
and it works (good enough ™️)
that sounds awful to do on paper though
my fav line to use when it's not optimized and I am too lazy and dumb to optimize it
yo guys pppllllllssssssss dm me help me to understand powers must talk frensh but its ok if its english

New toy. Seems cool.
Broadcasted at https://www.twitch.tv/vEnhance which runs Fridays 8pm Eastern time
Schedule at https://web.evanchen.cc/videos.html
Come join my students in watching me be dumb on camera, whether it's missing MathCounts questions, misreading shortlist geometry problems, forgetting a Spawning Pool, running Baba into corners, a...
i love latex
I don't hate LaTeX. But I do appreciate QoL improvements
what if i hate typing
then try typn'st
U vibe type then
Greetings!
close to a month of no classes and i feel like ive forgotten math
that's a skill issue
Is this just going to be TSP?
I assume so
In a 3 credit class is 6.0 quality points a letter grade C
we don't know your class' grading system
At-least at my uni, yes, but idk if this works the same in others
My recommendation has more weight: try typst
no.
ccan anybody help me with a simple chem question
I mod my games from time to time and often run into situations where I have to use math to get something done the way I want. Whether that's making traffic more aggressive, or doing ui for a machine in Minecraft based on its recipe.
I have a problem with looking at math, numbers, and measurements and trying to understand them? Has anyone been in this situation before where looking at a formula just doesn't give anything?
When I look at code, writing, or art I can get a sense, but when I look at math half the time I don't feel anything.
Do you have dyscalculia

I haven't been professionally diagnosed with a single thing fortunately or unfortunately.
Can you show an example of math you are looking at
Because I don't understand anything from equation spamming in arxiv papers
So it would depend on the difficulty of the things you're looking at
Ah lemme get something.
Uhh lemme make up something.
Dyscalculia sounds like I can't read math, but I can tell what this does:
math.floor((math.random() * math.random()) * 100) / 100```
floor puts it to the nearest integer lower or something. The random is between 0 and 1, and yeah that's that.
But then this comes up:
https://www.desmos.com/calculator/txslnsykan
That link is to a formula for a effect in Minecraft that drains mana at different levels. And it was fine.
But even after graphing it and going over it like ten times with a friend and understanding how the exponential increase is rewarding to players in higher levels I just... ended up scrapping the whole project.
Also another link
Incase.
dyscalculia is more lacking number sense
I am trying to give a example that I best can, but it's hard to even conceive the thought of it. It's like trying to be asked about a word that's missing from a book. I know something is wrong in that blank spot but I can't figure out what was supposed to be there.
But I thought you guys might since my friend is so intuitive with math and he seems pretty intune with all the formula and such to the point where he uses math to generate smoother animations.
Meanwhile I can't even fathom how to use PI in generating a spherical shockwave.
I've tried Khan Academy but I'm years behind, maybe even a decade or two at this point since I don't remember calculus, statistics, trigonometry, and yet my friend can use these tools in his programming endeavors near effortlessly.
So keep using khan academy and (re)learn more math
It's not really about being born knowing it
You forget things that you don't use
But even after knowing what the things do, I can't put them together? I've seen exponentials be used to make curves and skew values and PI be used to make circular formations and movements. I've seen things like the Manhattan Distance and the Euclidian Distance (I think)....
I just don't feel anything from the numbers how I would words with writing or code when executed? Is math just different than something like code or writing?
So to get better at math... like writing... you'd have to write and read books? Use math and study it?
You have to study math and apply it
But aside from "What's the distance between these two points?" or "This random value needs to be skewed lower."
Will I just learn the more complex things... and then be able to use them if I know how they work?
This seems to be a game design problem than a math problem
i dont feel anything with numbers either
I would avoid exponential scaling in games unless you know what you are doing, or you are creating an idle game
Yes
i don't think many people have feeling with the numbers directly unless they are gifted
You can try polynomial scaling of most kinds, and usually of degree 3 or less
Math has a lot of tools that you have to learn how to use
It's just like any other thing
math intuition is more visual and symbolic (as in symbols, not metaphorical symbolism or whatever lol)
The second question is likely game design as well
For the first you'd use any normal notion of 'distance'

If, say, you were tasked with doing some home renovation and you didn't know the first thing about construction, you'd be at a loss as well
Oh
I-
A few exception to numbers not being important in games is like Balatro, which is clearly very numeric.
But this is not the norm in game design

I think you're going off on a tangent point
Given this example, I don't think so
Mmm... this is just like what happens with my friend...
You can try reading calculus if you'd like, it's somewhat relevant
But you don't need to prove anything, which is what math is about
Math isn't really about numbers
Writing isn't about words, it's about feeling?
So math isn't about numbers, it's about expression?
My point is that the math here is just a tool for you to compute and calculate stuff
"How long does it take an average player to reach level 410"
"Assume we will have 10 million players, how many players will reach 410 in 5 years?"

yeah that's killer
i have no idea how you solve that, and I have a very crude idea that you measure the time it takes for a player to reach one level and then... assume the amount that usually meet each level...?
That's a good idea
that is?
calculators like desmos help you with that
hm
Breaking a bigger problem into smaller problems is a very practical strategy for solving problems
instead of numbers turn it to text
I try examples first
Yeah, so examples of something to see how it works, apply it to something to get used to using it. Relate it to something you already know to get better at it, and stay interested in it. And then understanding through that lens becomes easier.
So I need to not look at numbers in math but turn it into words?
Oh so I should practice word problems!
Right?
Just like how you'd practice code by doing little personal projects?
You can practice word problems but some word problems aren't about calculation but about understanding words so
But assuming you don't run into those it will be fine

So practice numbers and words
So then I get better at turning the numbers to words and vice versa
I'd focus more about trends than specific numbers
A function grows too slow
A function grows too fast
A function reaches X too fast
Oooh
For example these
If you can control function growth
it will help in your practical stuff a lot
If it's random, "This happens too often." if it's UI "This isn't the right size", or visual "I should round the speed limit." not:
"24 is a odd number?"
"Why does this look weird?"
"I can't understand where this division is coming from."
"Is that ten necessary?"
Yeah

I am no longer headache
thank you people of the numbers
or should I say, symbols
yeah, "People of The Symbols" sounds cooler.
I think its supposed to be allowed to use ai tools here
including chatgpt
its far more accurate than before now
no
we offer real people help
if the user wants an llm answer they wouldnt be asking here
we arent same :(
i have headache due to fever
since yesterday
dud, gotta drink more water or something
I think typst can replace markdown and latex
That's not a very high bar
I particularly like the 2.5% error rate on multiplication of 3-digit numbers
It's also funny how it isn't symmetric
almost as good as an undergrad doing multiplication without using a calculator
the anti ai circlejerk is somehow on the same level as the singularity circlejerk, every anti ai post/gotcha that gets popular is always in bad faith
I would say it is reasonable to point out, on a mathematical discord server, that LLMs are spectacularly unsuited to mathematics, and especially calculations.
i wish it was square so i could get a better idea by squinting. i like how its a little worse at calculating near squares than numbers far from the diagonal
or i guess its just more noisy along the diagonal… idk
i mean yeah, sure, but im just saying that every time ive seen a tweet/post shared here, like the one in question, its all just
farming
id argue that being able to predict large integer multiplication at a semi competent level is impressive, given that is not what its focus was, nor is it even architecturally designed to do
but the banger punchline tweet among the anti ai crowd gets a bunch of retweets and everyone will agree with it
sotrue
i'm a bit curious what percentage of ai research is:
- actually developing some new tech
- only geared towards releasing new LLM product with minimal innovation
- actually uses some theory instead of blindly trying what works best
don't underestimate how good LLMs are at making riddles tho
Yeah, it's great
at least riddle #1 is correct 🔥
the second one is not incorrect, it just doesn't make any sense
Maybe the model did become twice as large following the rearrangement.
Who knows who the personal pronoun refers to
How is the second not incorrect
But then of course the answer shouldn't be 132
312 * 2 != 132
But I did the factorial wrong
Be careful, you might get a lecture that they don't actually consume all that much power if you interpret the numbers in a particular way
it would make sense if it said "if you rearrange MY digits, I become twice as large" or sth like that
now it says the equivalent of "If unicorn apple pancake eats 456, i become twice as large!"
Is the answer 132?
I kind of agree, I mean LLMs suck at math, but I don't think how good they are at multiplying big numbers is a fair assessment of that
oh
I think it is inasmuch as I see a lot of people use LLMs without displaying the slightest awareness of their functioning, capabilities and limitations.
So highlighting that they can't actually calculate can be seen as helpful
i'm more concerned about researchers training huge models and testing them on datasets about addition then displaying tables instead of looking at how LLMs work and explaining to public what is the reason why they can't add numbers
in practice they make llms call functions in python anyways so it's not really a practical handicap
yeah, as a critique against LLMs as a machine that can think and reason in general I guess it hits its mark
that was the practice though, they asked multiplication questions to an LLM and it clearly didn't invoke an actual calculator, or at least not correctly
I have seen a paper in which they propose some embedding technique to allow Transformers learn how to do addition.
https://arxiv.org/html/2405.17399v1 might be this one
wait wait wait, the axes of this table are number of digits, not actual numbers. Did they ask LLMs to multiply 10 digit numbers, and they got it 90% correct?
i mean yeah, the table is clearly about raw llms doing addition
but like, what is the conclusion of this, "yeah so the model which's design and architecture prevents it from doing artithmetic well STILL doesn't do arithmetic well after we did nothing to amend this!"
yes
that's pretty impressive tho 
i'm curious if they included the specifically designed datasets about addition in the training data
so an average user should be aware of how to invoke the AI in order for it to avoid calculation errors
i guess
though it probably would be more beneficial to society if they just said "don't use llms as calculators"
and what most of the circlejerkers are misreading in the chart, which is ironic considering their focus on true "understanding" and "reasoning"
(
)
multiplying explicit 10-digit numbers has noting to do with reasoning tho
it's just a measure of coverage of the dataset
at least as far as the raw llm is concerned
What threw me off at the first glance was the "struggles past 13x13"
But this is itself a good circlejerk
https://x.com/yuntiandeng/status/1889704768135905332 This is an experiment for an earlier model but apparently with the same methodology
They seem to have used fairly normal prompting, and reasoning was involved
@jvnbt Good question! The problem was 409 * 653, where the correct answer is 267077, but the model outputs 266077.
Prompt: "Calculate the product of 409 and 653. Please provide the final answer in the format:\n\nFinal Answer: [result]"
Output: 'Final Answer: 266077'
I was able to
I've just tested large multiplication myself, the answer is not correct.
,w 124310924810498*402948109510
Obviously, one sample, and to draw any conclusions you should be doing what Yuntian Deng did
But I would point out that Wolfram Alpha would get the correct answer virtually every time
(barring bugs etc)
You should've asked for the result in scientific notation
(Note that the verbal description of the number is neither the numeric answer printed, nor the actual correct result)
graa Application questions and skills statistics based and common sense teach me
hey guys
I am a bit lost in trying to understand my friend's thesis on graph theory
would it be approperiate to ask a fundemental question in the help channel or here? I just want someone to point me in the right direction
Graph theory would probably work best in #discrete-math
you can make a help channel or post in #discrete-math or #combinatorial-structures , depending on how advanced is the question
Probably pretty simple, thanks for the directions ❤️
#odes-and-pdes help pls

guys i have a doubt

Does anyone have alphabet of block letters for desmos?
Rude
not even close. its an opinion.
You're very welcome to use mathcord however you like, but I think you should stick to the age-old wisdom: if you can't say anything helpful, it's best not to say anything at all.
well played, hungary, well played
Or Finland
Lmfao I get why Spain would say basque but why are any other country saying basque
Who…. Are you
Wait I might’ve already done this
Where I went “who is this new mod” and it turns out they only use help channels
i agree with finnish fr
think about it… what if we have to wait for a spot to open up in the sleep servers in order for us to sleep, but in the mean time we are fake sleeping since that’s what u have to do to sleep, so basically we’re in the matrix, we have to pretend to sleep in order to sleep…
me pvping in the sleep servers:
welcome 
doing my job for me 
everyone should be welcoming

@old oak To continue on my digression an uniformised way to write down proofs.
The case of France is kind of specific, not because we are smarter --we actually are (I am truly lying there)--, but rather because we have a national competitive examination to become "high end teachers". And the way the exams are done tends to ask for an uniformised way to write down proofs for this reason, due to the specific format of the examinations.
Not fully uniform but sufficiently to enforce people to be clear enough to deserve that Teacher Title.
That's fair, if there's a system that incentivizes a certain style of writing then I can see that style being more prevalent.
Yep, when it comes to the research level, people tends to recover their own style and the one of their PhD/Post-Doc supervisors the time being.
@gusty bough Actually you probably know it but "i.e." is latin. So.
Oh hi
Yeah yeah
Better using it for future purposes than c-à-d which is less universal.
And using Latin is an actual flex.
which pdf reader do you use
is it a pdf reader
yea and you can read any file with it
yea that's a lot better
type !help
To ask for mathematics help on this server, please open your own help channel or help thread. See #❓how-to-get-help for instructions.
hello everybody
Adobe, my favourite company
Hi guys
I can't change the past.
Is 4.85/5.00 (foreign uni) good for MIT+ivies pure math PhD?
People with worse grades have gotten PhDs.
What math do artillerymen use?
hii
trigonometry and geometry, though in most places officers will get a fairly complete math education e.g. calculus, algebra just like any other STEM major, historically military cadets have been taught the math needed for ballistics, fortifications and other stuff relevant to their line of work and I imagine they'd be taught stuff relevant to modern warfare nowadays
Thanks, but what parts of geo and trig?
basically all of basic trig, and from analytic geometry I suppose especially quadratic equations since ballistics problems often boil down to describing some parabola, problems like "given the initial speed of a projectile, set the angle so it falls exactly at 500m from the point from where it's fired" or something
that's just one example and kind of the obvious one, I don't know exactly what other parts of geo and trig people would focus on
but basically enough to understand mechanics (physics) which arguably is more important
Can anyone help me? I have to do a 10-minute oral in maths and I'm doing it on Gabriel's horn , but it's too short.
talk slower
Probably a good thing, it will take longer when you actually do it. Have you practiced it in front of people?
No i havent practiced yet but there are mathematics calculations and its very short my problematic is : How to explain Gabriel's trumpet paradox using integrals
hi
peles help me
I have a problem. I'm trying to solve time flexibility with math. We have a vision of a series of numbers that are repeating or a series of decimal numbers that are not divisible by anything at all.
p= 2X *9m =- 11
11 -= 0m + mp2 - 29 = 2.7580088765936458
OM = 0 -9 *1.2 + 0.4
mp = 8 + 7 * 78 - 3
and
x =?
m == X-2 * 82 ms
<@&268886789983436800> posting the same thing in multiple channels
If you need math help it would be good to read #❓how-to-get-help and follow the instructions there rather than spamming your question across many channels.
I'm back guys
welcome back 
I back
Why is #groups-rings-fields considered "Advanced Mathematics"?
Surely it's a relatively standard area of mathematics to introduce in the first or maybe second year of an undergrad degree?
Not too commonly in the US
Huh
It's very standard in the UK as far as I know
I wonder why there's a difference
US is very liberal arts education, so students in the first 1-3 years very often take courses in essentially every subject, and so don't get to much math beyond calculus, lin alg, DEs until later
So you wouldn't start doing proper uni maths until the age of 22 or so?
19-20
Also #calculus being "Early University" - do you not do any differentiation or integration until university?
Yes in many cases
Same as the UK
Wow
Calculus is part of A level maths in the UK
With some more advanced topics in A level further maths
Although you don't do it rigorously until university
E.g. I learnt how to integrate a bit over 2 years ago, and I defined the Riemann integral a few months ago
in the US the level calculus education in high school varies a fair amount, so courses are structured around the assumption that students will have to start from the first calculus class
I find the US education system fascinating
as much as anything this is so that people who are taking calculus in university don't start asking about it being in a pre-university channel
and the people who do take it in high school almost always take it as an AP class, which are theoretically (but not really in practice) equivalent to a university course
I find this perspective so hard to grasp
Anyone studying a maths-based subject at a UK university would have done A level maths (or an equivalent) during sixth form, which covers basic calculus amongst many other topics
What pre-uni maths education is standard in the US?
to make things even more confusing, there is not one standard, there are 50 because it's regulated at the state level
for example, in california:
as long as students take a math class for most of high school there's a lot of leeway in terms of which math classes they actually take (which might be part of a "remedial", "standard", or "accelerated" track)
That's very vague
What's the content of these courses?
And only 2 in that time?
How long are these courses?
and it's even more confusing than that, because those are the minimum statewide requirements, and local school districts are allowed to require additional courses
someone on a "standard track" might expect to have completed precalculus class by the end of high school whereas someone on an "acclerated track" might expect to have taken at least one calculus class (usually ap)
one year each, so in theory a school district could allow someone to graduate if they took two years of mathematics whose total content equals "Algebra I"
What does Algebra I entail?
again there isn't really much of a standard beyond "whatever hasn't been covered in a previous class that teachers imagine is needed for calculus". so common topics will be rational functions, elementary transcendentals (exponentials, trig [may have been covered previously in a trigonometry course], logarithms). if a class is particularly ahead of schedule they might cover stuff less immediately related to calculus (conic sections, basic matrices, polar coordinates), or even introductory calculus (limits, basic derivatives)
essentially functions, graphs, elementary functions (trigonometry, logarithms, exponentials)
the only real standard is basically the prerequisite knowledge for calculus (which to be fair is a fairly standardized subject), but whether that's covered in precalc or another class depends on the school
keep in mind the thing about the US system though - students in university, will taking less math, take a lot more of other subjects. the whole point is for them to be well-rounded knowledgeable members of society if they graduate university, which in my anecdotal experience does seem to work. keep in mind that american students go to grad schools all the time and still succeed, so even if they cover less when young, the ground is made up somewhere in grad school
(i am canadian, which is a middle ground between europe and the US here)
In the UK, maths is mandatory until year 11 (ages 15-16), and almost everyone will do GCSE maths (covering things like solving simultaneous equations, solving quadratic equations, basic probability, vector geometry, simple proofs, basic trigonometry, very basic set theory, etc.), and this is very standardised. Then, most people wanting to take maths further will do A level maths (covering things like the binomial theorem, basic differentiation and integration, simple proofs, vectors, trigonometry, exponentials and logarithms, binomial and normal distributions, hypothesis testing, probability, correlation, some mechanics, etc.), and people wanting to take a maths-based subject at a more prestigious university will also often do A level further maths (which is more varied, but usually covers things like complex numbers, matrices, volumes of revolution, induction, Taylor series, more integration tricks, etc., and may even go up to basic number theory and group theory)
Interesting. It seems the US teaches maths in quite a different way and in quite a different order to the UK
another thing to note is that the "general education" thing cuts both ways, so people in somewhat but not especially quantitative majors often have to take calculus to fulfill a gen ed requirement (but may not have any maths classes to take after)
The UK specialises quite fast. I did 11 GCSEs (ends age 16), 4 A levels (which includes both maths and further maths) (ends age 18), and I'm doing just maths at university (although my university also lets me take some modules from other departments, so I did 2 CS modules this year for example)
it's a symptom of a general lack of standardization in high-school level education, but math is the most obvious example because it's the most cumulative
My GCSEs were maths, English literature, English language, physics, biology, chemistry, computer science, design and technology, music and history (so quite varied). My A levels were maths, further maths, computer science and physics (so starting to be quite specialised)
Content covered this year has been introductory real analysis (sequences, series, continuity, power series, rigorous differentiation, the Riemann integral), basic abstract algebra (some group and ring theory), linear algebra, ODEs, basic and non-rigorous vector calculus, basic set theory, basic logic, basic number theory, introductory rigorous probability, and some programming, and then I also did some algorithmic runtime analysis, graph theory and more programming as optional modules
how exactly do calculators calculate fractional exponents with negative bases?
i get that x^y can be expressed as exp(y*ln(x)) and a series expansion for exp and natural log can be used but what if x < 0?
how do calculators handle that cuz (-1)^2 is real but (-1)^(1/2) isnt
what type of calculator do you have?
most basic calculators block imaginary results
scientific/graphing calculators (or apps) can handle them you just just enable complex mode
should give you an i
why are you here then?? 😭 😱 🤣

Yo that was kinda rude of me
I'm so, so, sorry man
forgive me.
you're not a meme 
:true:
x^(a/b) = (x^a)/(x^b)
x^(-a) = 1/(x^a)
yo good night, i need a lie for my stuff in AI and effectivity, anyone can think bigger matematical falsehood than "pi is a rational number"?
some that i was looking are “There exists a largest prime number.” or “Every non-constant real-valued function on ℝ is analytic.”, what are some that you guys know bigger than those?
give it an unproven conjecture?
yes
Lol
every operator whose characteristic polynomial splits is diagonalizible
Well, triangularizable
You want it to have no repeated roots to be diagonalizable
yes he was asking for claims that sound plausibly right but are wrong
or idk about plausibly right, maybe just stuff to trick an llm
Oh oh
how to compute greatest prime less than or equal to any natural number
in terms of prime counting function
hmm
:3
good question, i dont think we have an algorithm tho
hello

This is something i need to write.
I want to know if anyone else was this……. uh retarded when they were 11?
When i was around 11-12, i believed (not assumed) that the future of all things in nature could be predicted using equations.
That all processes are completely deterministic (didn’t know what that word meant at the time), and using equations, one can calculate with 100% accuracy any measurable quantity in nature with absolutely 0 uncertainty (not that i even knew what that word meant at the time).
AND, that even if something isn’t actually measurable (consciousness, you cant assign a number to consciousness, it makes no sense)
It’s measurable anyways.
Whenever i made a mistake in a problem, let’s say i got 69 instead of 42, i’m like “OH IM OFF BY 27, so that means that all the mistakes I make is off by 27”, i write down an equation “ x - 27 = y”, and any mistake I make, i shall use that equation to correct it.
So if i got 82, and the right answer is like 40, i use the equation and i get 55…. “Why didn’t i get the right number what the fuck?”
I didn’t even know what a function even is, to me that’s an equation and anything can be predicted using equations and numbers. “What’s a function?” Got no clue, never even seen a graph before. Only when i was 16 was when i first learned what a function is (our education is pretty shitty).
In mathematics, we are constrained by various rules and axioms, and all theorems are derived from these axioms. So, if you’re missing a crucial component to solve a problem, you fill in that gap by creating something from your imagination. This will never give you the right answer. You can only use the theorems and rules at your disposal, and you need to know how to use them.
how philosophical
an interesting view on mathematics and life
2026 Gaokao essay prompt
fr
Netherlands being erased from the map? Oh dear!
<@&268886789983436800>
surprised the creator(s) haven't said anything about the little russia above Poland
negative bases
if x is negative and a,b can be any real number then calculation gets tricky
not relevant
if they go into complex mode then that makes sense
yeah my ti 30xiis just gives a domain error if u try x^a where x is negative and u write a as a decimal and not a fraction
also this top one just isnt true (x^a)/(x^b) = x^(a-b) not x^(a/b)
You mean Kaliningrad?
Also known as Königsberg.
isn't that the name of the city?
but the region itself is just russia
idk, don't quote me on that or shame me for it 
I'm dumb as duck when it comes to geography
The region is also named Kaliningrad.
The city happened to extend its name to the region.
that won't stop me from calling it lil russia 
I need some Americans to confirm this (specifically the comment)
are they fr??
@woven rapids
u r from Florida right?
Yes
Asteria wth are you doing here? You belong in Discussy proper.
I got pung
thanks
that exatcly what i want
exactly, is to mesure effectiveness
but sadly did not trick the llm that i am working with
i need a more effective lie
prime numbers are primitive recursive as far as computability is concerned, so they are like, very very computable, you don't need prime counting function
in terms of complexity though, the decision problem of determining whether number p is prime is co-NP if i'm not mistaken, then deciding if a pair (p, n) is such that p is the greatest prime \leq n would be reducible to the former problem by taking (p, p)
but given a prime counting function oracle you can do binary search for largest k such that pi(k) = pi(n)-1 (as pi() is nondecreasing), which is logarithmic in magnitude of n and linear(?) in length of n
@light horizon does that make at least some sense or am i delusional
AKS tells us that primality testing is solidly polylog in length of n
oh, that's cool
<@&268886789983436800>
:(
welcome to the server @glass trench
1 week to real analysis exam
havent touched it in five months because that's the gap between the teaching and the exam
time to eat, breathe, live real anal
yo
I mean at least you were thinking about this kind of stuff at such an age. People are wrong all the time. It is what it is 
eaaeaaattttt meamememeeeee

welcome
would've looked cooler if she had the green dragon on her head
hi magma loves u
I'm deltoid loves u :3
i love you MORE >:3
nope i love you morest
i love your morerest
i thought you had a gf
girl this is platonic
🙂↕️
i love you moresterest...
you CANNOT beat me, deltoid
you simply cannot.
magma is the MAGMASTER of love
your name has NO good puns
you are PUNLESS
magma is a good name
Lore out of date
in light of my PUNTIFUL sum of puns on my name, you have nothing
girl im sorry but there is no name thats more punnable than blo
Also magma is NOT eligible

I don't
I think it's because this is way more lovey talk than is generically expected in a platonic setting
hizae in chat
i love you
i also did this with fluX though, i think it's fine
everyone
2 people
and btw this is platonic
quantity is relative
I mean sure, my point is that this is why everyone wondered
ah, i see
how old is magmy btw
im 16
dam i got cold shouldered chat :(
Ily blo but i wouldnt hold your hand sorry...
i thought you were 40 for some reason
thats fine i asked delty to hold hands
Brutal
i appreciate it tho love u back
I was about to say
I still rizz more people than you do
I would hold hands in the midnight staring at the stars
chat is this platonic enough
Better than many undergrads wrt logic
yay
man this ruined this whole thing for me
Uh huh
im changing my name
definitely platonic
u guys are horrible
He doesn’t try to, but how much do you succeed fr
thats what u get for saying fuck u blo like three days ago ahahaha
GOOD
im jk i dont have an insane amt of rizz im a pretty shy person irl lol
alright new name
Good name
och i can't handle the hate
Goddamn
Rizz master
this is my FINAL name
it ok we still like magma cuz magma is silly :3
i keep forgetting allys like 30
Crazy work
Blo really just be eating hot chip and lying
What
Which one
it was a typo but i dont fix typos
Im 2005 baby
blo
the sieve theory one
Hmm?
if deltoid is still down for it
we gotta respect this stuff
No its just called being yourself
"im a dragon thats 2000 yrs old"

that kinda stuff . its culture
us humans need to be nicer to ourselves
That's tru
oh sloth ik it's a george michael reference but do you also hear music
The automashallah
tightroping between inferiority and superiority complex is what lifes all about
No like fr
What u say rn to urself would u say to ur Wife ?
No cuz ud two would divorce
So be nice to urself
no
Absolutely not
Absolutely yes
Lol I don't brutalize myself toooo much
Oh ik u dont
No some people need to not be themselves
im just saying in gegneral
sharp i cannot take more algebraic number theory please sharp
Ok for some people i agree but ur not one of them
No more number theory
I def am
Maybe like having some of those common red flags like unhygenic, liar, betrayer, etc i agree
But ur none of those
not an option
^ Doesn’t know the lore
Wow so I'm arrogant?
Jkjk but yeah
Anyhow
Wow u cheated on dami i see
that's a negation, you see
it does NOT necessarily entail that i would not also assert he SHOULD be himself
Excuse me?
just cheat back ez
im very smort
jk make him regret instead dont cheat back
I am on the verge of threatening you if you keep this up 
you are stuck in your own head over this
you are not insufferable
I meant excuse me in the other way like what is this new pairing I am not okay with this
TRUE
do u prefer ur shipping with apple?
Lol if I got cheated on that's just the end of it. Like I do not care if I have divine assurance that it will never happen again I am just done
Okay not even against you, but I'm straight LMAO
Yes I’m aware
LMAOO
DARPA
will strike you down
Dapper
Horrible. Look which of us has Android and a Windows PC
And which of us has iPad?
Exactly
Clau x Ally
Clally
ok i got my apple device before i knew about apples being unhealthy for u
too much algebraic number theory is bad
Divorces?
devices
exactly, we do not need to be turning into nG
You can't divorce someone you weren't...
w a t
You need more to be turning nG but that's an ok concern
Nobody even warms up apples to eat them
okay that's true
Silly Ally
im so glad im a samsung bitch
nG is nG
self-react + hyperfixation on langlands + super cracked
TRUE
we cook apples though
if ykwim
how many ppl do u have a three combo description for
true...
Ahhhh tru
People with this description:
You, nG, my friend, my prof
Liar.
i have a three combo description for you, blo: blo + blo + blo
sucks to suck
this is so mean
deltoid is cheating on you btw
what is with people accusing deltoid of cheating on people
???




