#serious-discussion

1 messages · Page 230 of 1

jaunty ibex
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Math majors are so hot

elfin smelt
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these are specifically different than regular frieze patterns. two things with the same name

velvet dagger
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  • 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
bronze pelican
#

Everyone can learn & do math

latent edge
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I feel like this was directed to me.

timid bronze
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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

latent edge
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SL_2(Z) mentioned

timid bronze
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even if i dont understand it

velvet dagger
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Hey thank you! :) I really appreciate it. And hey chem is no walk in the park either and you're rocking it

timid bronze
#

i like listening

bronze pelican
#

You don't have to be a math major

elfin smelt
latent edge
timid bronze
pure hollow
#

nG is a bit different

bronze pelican
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I really respect those who study math for their own personal enrichment outside of the academic ladder

latent edge
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I am doing math whether I stay in academia or not

velvet dagger
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Yeah I don't anticipate staying in academia at this rate

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Get to blame DOGE instead of myself for that :P

pure hollow
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I do math outside academia

bronze pelican
velvet dagger
#

But honestly I'm not too upset because truth be told I'm not sure research is my speed

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Like I'm just as happy to learn existing math from 10 areas and not do original things

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Perhaps even happier

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Compared to doing research in a specific one

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Plus I can branch out from math a bit

timid bronze
jovial ember
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Dami do u graduate this year

elfin smelt
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fun fact, UMNs harmonic analysis and automorphic representations seminar is abbreviated to HAAR

bronze pelican
#

Dami more like fami-ly

velvet dagger
#

Quantum physics, neuroscience, philosophy, psychology, history, etc

velvet dagger
jovial ember
#

Let’s aim to be number one!

jovial ember
#

And why tf u remote

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Where u living if not the glorious pastures of Madison Wisconsin

velvet dagger
#

My advisor is in Australia, and that way I don't have to TA during job apps

jovial ember
#

Oh

jovial ember
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Are you gonna be in Australia?

timid bronze
#

speaking of australia

elfin smelt
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i hear au is really bad for math academia…

timid bronze
#

i. never knew how jacked kangaroos were

bronze pelican
velvet dagger
#

Nah I'll be in Texas

timid bronze
#

like wtf

jovial ember
#

G’day mate!

jovial ember
velvet dagger
velvet dagger
jovial ember
timid bronze
#

in elementary school they made them seem so cute and tiny

bronze pelican
timid bronze
#

but bro theyre jacked

jovial ember
timid bronze
velvet dagger
#

My advisor will advise me online, I'll be with family so no expenses

bronze pelican
#

Nah kangaroo can knock u out

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Ez

timid bronze
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i just know all the lady kangaroos r going crazy over them

velvet dagger
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And just apply for jobs

latent edge
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I would 1v1 with a kangaroo

jovial ember
#

I C

bronze pelican
jaunty ibex
elfin smelt
# bronze pelican Why

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

bronze pelican
latent edge
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I'd win

velvet dagger
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There are two types of people

latent edge
#

My primary area is going to be somewhere in Europe

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just cuz im sick with USA/Canada stuff

elfin smelt
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i have four or so years before deciding but luckily i know the USA will now have less international applicants

timid bronze
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i want them.

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I love bunnies sm

coarse bridge
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👯‍♀️

elfin smelt
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theres the cute bunny that keeps hopping by my door

jaunty ibex
hollow ginkgo
timid bronze
velvet dagger
#

Bunnies are actually so cute

jaunty ibex
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My pet is a bunny

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And her name is bnuuy

elfin smelt
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this emote reminds me of carla shed send it a lot 👯‍♀️

timid bronze
jaunty ibex
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Not joking

timid bronze
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Bro this shit probs weighs more than i do

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(pic from google)

jaunty ibex
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jk

velvet dagger
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Look at this one

elfin smelt
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how can it even see… jademindblown

timid bronze
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CUTE OVERLOad

latent edge
velvet dagger
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Bro tryna fight a bunny?

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Fell from grace after the kangaroo incident

hollow ginkgo
timid bronze
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dami can we pla y roblox

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Oh right ur out

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Ugh

elfin smelt
latent edge
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I'd def win if I was against the kangaroo

velvet dagger
timid bronze
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iactually laugh so hard seeing them be called the roo in australia

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i saw comments of it under a video of a kangaroo scatching someones window

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which btw if that were at my house i think id run away

latent edge
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L

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just 1v1

velvet dagger
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Australia wildlife may very well be an active deterrent to living there as far as I'm concerned

bronze pelican
latent edge
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jokes aside kangaroos are one of my fav animals

elfin smelt
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roo hands are rated E for everyone. its like that AU math tournament called kangourous sans frontiers

timid bronze
elfin smelt
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🦘 baby

timid bronze
#

tehir claws r so huge

velvet dagger
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Maybe if Sydney or Melbourne is more insulated from the stuff but

elfin smelt
timid bronze
latent edge
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I have a gym buddy that 1v1'ed with a lion before for fun

timid bronze
#

that shits destroying me in 3 secs

velvet dagger
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If they did that would actually be mad impressive but

latent edge
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Yeah they had videos

latent edge
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They are impressive af

velvet dagger
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That just feels so difficult

urban isle
#

Ts did not happen

warm umbra
timid bronze
warm umbra
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i was there

latent edge
urban isle
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I could 1v1 a t rex i bet

elfin smelt
timid bronze
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i lowk want to get a bit back into gymnastics

i lost my ability to do a handstand

timid bronze
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the way its standing LFMAO

latent edge
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no way this is a bear

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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

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that shit was very scary ngl

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I'd probably 1v1 now if I saw them again

sand veldt
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Hi , i am here to learn mathematics!

velvet dagger
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I've heard of a person who beat a leopard actually

warm umbra
velvet dagger
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Depends on the rules

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Boxing? Ez

warm umbra
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My plan

velvet dagger
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Posting cursed stuff? Ally wins

warm umbra
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I'll ragebait the T-Rex and say Nah I'd win

silent junco
warm umbra
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Then ill lure him to a body of water so the Mosasaurus can eat him

velvet dagger
#

Oh this reminds me of that one shtick which contrasts how people think dinosaurs sound with that one reconstruction

warm umbra
pure hollow
latent edge
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I'd always win

harsh glen
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nah, I'd win

jagged forge
brisk halo
latent edge
brisk halo
latent edge
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I killed a spider that has been wandering around my house

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Normally I wouldn't kill spiders cuz I like spiders but this one annoyed the shit out of me

latent edge
# pure hollow Why?

I was writing my math notes when the spider just suddenly jumped off from the ceiling to my desk

warm umbra
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welcome to the server @brisk halo

timid bronze
velvet dagger
neat lintel
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f(x) = higher
Γ(f(x)) = (higher-1)!
f(x+1) = higher+1
Γ(f(x+1)) = (higher+1-1)! = higher!

mint canopy
mint canopy
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Alright grandpa time for a nap hm?

old oak
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That's too accurate to be funny.

balmy quartz
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🔥✍️🔥

jaunty ibex
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Btw deltoid

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How long have u been doing martial arts

coarse bridge
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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

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i've only encountered ts like once in my life but it's wild

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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

latent edge
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Mention me next time Vero since I didn't see your message

latent edge
jaunty ibex
latent edge
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I started at a really young age

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Nowadays I mostly do it for the funzies lmao

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too locked in on gym

jaunty ibex
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Bro's nickname is Deltoid for a reason

brazen mulch
latent edge
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Yes.

coarse bridge
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WHAT was it fucking 🥀

latent edge
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bro at last some shit that is actually presentable

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this prof has some horrid shit going on holy crap dude

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THIS IS NOT FUN

coarse bridge
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what class is this lmfao

latent edge
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It's for research

coarse bridge
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ah nice

latent edge
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please focus on the paper
alright let me read adjacent stuff that relates to langlands

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4 pages of proof for a fucking lemma when you can one kill it with a simple argument monkey

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this prof doesn't mind computations at all

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literally my opposite

jaunty ibex
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Get this man an automorphic form over Sp(2n,R)/U(n)

latent edge
#

Real

vast wraith
latent edge
# vast wraith

Unfortunately you still see a lot get into med school with this habit

vast wraith
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galileo’s balls has to do their job better smh

latent edge
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lmao

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Something incredibly obvious I haven't realized until now

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Every homomorphism from $SL_2(\mathbb{Z}) \to \mathbb{C}^{\cross}$ has image in the 12th roots of unity

fathom swallowBOT
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Deltoid

latent edge
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Stares at you, modular discriminant with weight 12

old oak
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Doesn't even glance at me

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But to be fair, I don't engage with algebra very much

latent edge
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Unfortunately I've been getting exposed to a lot of algebra

vast wraith
latent edge
vast wraith
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oh right i was thinking PSL

latent edge
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oh lol

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yeah in SL_2(Z) the determinant is 1

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I also hate how confusing it can get with PSL vs SL

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I've never seen PSL in number theory that much

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It's most likely SL

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PSL feels very geometry based

timid bronze
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@coarse bridge @gentle birch

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is he really timed out

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bye..

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anyways u both sleep wtf

coarse bridge
timid bronze
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im going back to sleep i accidentally woke up after 4 hours

timid bronze
coarse bridge
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dude i don't have a prayer of sleeping before like 11am 🥀

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i'd rather just stay up and correct today

timid bronze
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bro

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u say this and

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DONT

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or ruin it after 2 days

coarse bridge
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but i acc don't pull all nighters very often nowadays

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cause i end up sleeping anyways

vast wraith
timid bronze
coarse bridge
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??????

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delulu at its peak

timid bronze
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u wish

latent edge
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SL is fixed

timid bronze
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if im delulu lets not speak of u

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🥀

coarse bridge
latent edge
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I'm pretty sure there is a cohomological explanation for this but alas I don't know enough machinery

vast wraith
latent edge
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it's confusing see

vast wraith
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yeah

latent edge
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algebra of arithmetic groups is really nice

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I just need to learn cohomology then I would be unstoppable

vast wraith
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hiii walter

dapper badge
latent edge
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hi walter

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I'm doing waltermath once again

fringe summit
vast wraith
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i haven’t had the opportunity to do anything particularily walter recently breadpensive

dapper badge
#

And then any map SL(2, Z) -> C* will factor through Z/12, hence has image in the 12th roots of unity

latent edge
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yeah

vast wraith
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lovely

fringe summit
#

group reps in U(1) moment

vast wraith
dapper badge
latent edge
#

The abelianization should be isomorphic to the first homology group I think right

fringe summit
#

its silly stuff

dapper badge
# vast wraith walter do you think this makes any sense <:sippy:920835242980442113>

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

vast wraith
dapper badge
robust marsh
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I get nausea when I start to study does this happen with anyone else?

fringe summit
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something something analysis of reps

jaunty ibex
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@latent edge wait how do u get 12 from 6 and 4?

latent edge
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lcm(4,6)

jaunty ibex
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I still want to understand it without heavy terminology

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Like straight from knowing that we have 2 generators with order 4 and 6 respectively

latent edge
#

you might have to use noggin for this

jaunty ibex
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Okay

limber thunder
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noggin users

pure hollow
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why does delt confuse my noggin that's already confused

distant kraken
#

GUYS PLS HELP-28

quasi jettyBOT
# distant kraken 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.

worthy loom
#

hi everyone I have a question

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and it's from my minecraft gaming experience

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so in a big desert I wish to visit every village with minimum backtracking

haughty panther
worthy loom
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I was trying to figure out best strategy possible but I failed doing so

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I don't know if that's some kind of graph theory problem because I didn't learn that

haughty panther
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if yes, then it's finding a path that visits each vertex in a complete graph at least once

worthy loom
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yeah you can fly to each village with elytra and rocket

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so it's possible to connect them with straight line

haughty panther
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so it's a hamiltonian path

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and finding minimal hamiltonian path is a hard problem unfortunately

worthy loom
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in practice I can accept duplicate vertices

haughty panther
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yeah, but that won't make the travel distances shorter blobcry

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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

worthy loom
hardy iron
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but if there's only like a small amount of villages bruteforcing works

haughty panther
hardy iron
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Oh I was thinking of the Christofides(?) algorithm at first

worthy loom
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I think in practices there are just dozens of them

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not like several hundred several thousand of them

haughty panther
hardy iron
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I see!!

haughty panther
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though i assume that yumeko is looking for an algorithm that is simple enough to compute by hand or sth

hardy iron
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Oh.

haughty panther
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and that would be some greedy algorithm probably and these are known to be awful in TSP, (idk about euclidean tsp)

worthy loom
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yeah because I just want to collect every 11 cat in game and they mostly spawn in village

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so it would be nice to compute by hand without actually running some algorithm

haughty panther
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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

visual topaz
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If it's just tsp

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Just use local search

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OR tools does a local search

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and it works (good enough ™️)

haughty panther
pure hollow
hardy jackal
#

yo guys pppllllllssssssss dm me help me to understand powers must talk frensh but its ok if its english

sharp mulch
long beacon
latent edge
#

@wooden falcon

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Typst fans rise opencry

true wedge
#

i love latex

wooden falcon
#

I don't hate LaTeX. But I do appreciate QoL improvements

limber thunder
#

what if i hate typing

agile fiber
#

then try typn'st

latent edge
true wedge
#

so op

grand adder
#

Greetings!

stoic narwhal
#

close to a month of no classes and i feel like ive forgotten math

ocean harbor
#

that's a skill issue

light horizon
worthy loom
#

I assume so

west palm
#

In a 3 credit class is 6.0 quality points a letter grade C

agile fiber
#

we don't know your class' grading system

true zinc
bronze pelican
#

My recommendation has more weight: try typst

true wedge
#

no.

slow mortar
#

ccan anybody help me with a simple chem question

sharp mulch
#

Chemistry server

copper ingot
#

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?

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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.

sharp mulch
#

Do you have dyscalculia

copper ingot
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I haven't been professionally diagnosed with a single thing fortunately or unfortunately.

visual topaz
#

Can you show an example of math you are looking at

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Because I don't understand anything from equation spamming in arxiv papers

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So it would depend on the difficulty of the things you're looking at

copper ingot
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Ah lemme get something.

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Uhh lemme make up something.

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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
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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.

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Also another link

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Incase.

sharp mulch
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dyscalculia is more lacking number sense

copper ingot
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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.

solid snow
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So keep using khan academy and (re)learn more math

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It's not really about being born knowing it

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You forget things that you don't use

copper ingot
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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?

solid snow
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It is

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But this just means you have to practice applying it

copper ingot
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So to get better at math... like writing... you'd have to write and read books? Use math and study it?

solid snow
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You have to study math and apply it

copper ingot
#

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?

visual topaz
true wedge
visual topaz
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I would avoid exponential scaling in games unless you know what you are doing, or you are creating an idle game

true wedge
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i don't think many people have feeling with the numbers directly unless they are gifted

visual topaz
#

You can try polynomial scaling of most kinds, and usually of degree 3 or less

solid snow
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Math has a lot of tools that you have to learn how to use

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It's just like any other thing

true wedge
#

math intuition is more visual and symbolic (as in symbols, not metaphorical symbolism or whatever lol)

visual topaz
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For the first you'd use any normal notion of 'distance'

copper ingot
solid snow
#

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

copper ingot
#

Oh

visual topaz
#

Anyway I don't think numbers are really important in games

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Feel is more important

copper ingot
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I-

visual topaz
#

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

copper ingot
visual topaz
#

The math only helps with feel

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It doesn't define it, if that makes sense

solid snow
#

I think you're going off on a tangent point

visual topaz
copper ingot
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Mmm... this is just like what happens with my friend...

visual topaz
#

You can try reading calculus if you'd like, it's somewhat relevant

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But you don't need to prove anything, which is what math is about

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Math isn't really about numbers

copper ingot
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Writing isn't about words, it's about feeling?

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So math isn't about numbers, it's about expression?

visual topaz
#

My point is that the math here is just a tool for you to compute and calculate stuff

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"How long does it take an average player to reach level 410"

copper ingot
#

.

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Would you...

visual topaz
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"Assume we will have 10 million players, how many players will reach 410 in 5 years?"

copper ingot
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yeah that's killer

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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...?

visual topaz
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That's a good idea

copper ingot
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that is?

visual topaz
#

calculators like desmos help you with that

copper ingot
#

hm

visual topaz
# copper ingot that is?

Breaking a bigger problem into smaller problems is a very practical strategy for solving problems

copper ingot
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like coding...

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so do you

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turn it into a math problem

visual topaz
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if that helps

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im mostly 'engineer'

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I try first

copper ingot
#

instead of numbers turn it to text

visual topaz
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I try examples first

copper ingot
#

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?

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Oh so I should practice word problems!

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Right?

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Just like how you'd practice code by doing little personal projects?

visual topaz
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You can practice word problems but some word problems aren't about calculation but about understanding words so

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But assuming you don't run into those it will be fine

copper ingot
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So practice numbers and words

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So then I get better at turning the numbers to words and vice versa

visual topaz
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I'd focus more about trends than specific numbers

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A function grows too slow

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A function grows too fast

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A function reaches X too fast

copper ingot
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Oooh

visual topaz
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If you can control function growth

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it will help in your practical stuff a lot

copper ingot
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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?"

visual topaz
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Yeah

copper ingot
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I am no longer headache

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thank you people of the numbers

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or should I say, symbols

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yeah, "People of The Symbols" sounds cooler.

viral condor
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I think its supposed to be allowed to use ai tools here

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including chatgpt

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its far more accurate than before now

solid snow
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no

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we offer real people help

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if the user wants an llm answer they wouldnt be asking here

viral condor
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good point

narrow carbon
#

i have headache due to fever

copper ingot
#

awful

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how long?

narrow carbon
copper ingot
#

dud, gotta drink more water or something

bronze pelican
#

I think typst can replace markdown and latex

haughty lion
old oak
#

I particularly like the 2.5% error rate on multiplication of 3-digit numbers

sharp mulch
#

It's also funny how it isn't symmetric

pure hollow
fervent flame
#

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

old oak
#

I would say it is reasonable to point out, on a mathematical discord server, that LLMs are spectacularly unsuited to mathematics, and especially calculations.

elfin smelt
#

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

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or i guess its just more noisy along the diagonal… idk

fervent flame
#

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 sotrue 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

haughty panther
#

i'm a bit curious what percentage of ai research is:

  1. actually developing some new tech
  2. only geared towards releasing new LLM product with minimal innovation
  3. actually uses some theory instead of blindly trying what works best
icy heron
#

don't underestimate how good LLMs are at making riddles tho

true wedge
haughty panther
old oak
#

Maybe the model did become twice as large following the rearrangement.

#

Who knows who the personal pronoun refers to

true wedge
old oak
#

But then of course the answer shouldn't be 132

true wedge
#

312 * 2 != 132

old oak
#

312 * 2! = 312 * 2 = 624

#

And I did the multiplication using my own neural network

true wedge
#

also there is no way to rearrange 312 such that it is 624

#

wheres the 6 😭

old oak
#

But I did the factorial wrong

haughty lion
#

Or maybe the "I" is the electricty consumption of the data center

old oak
haughty panther
# true wedge How is the second not incorrect

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!"

haughty panther
#

yes

#

it's always 132

icy heron
old oak
#

So highlighting that they can't actually calculate can be seen as helpful

haughty panther
#

in practice they make llms call functions in python anyways so it's not really a practical handicap

icy heron
old oak
frigid lark
icy heron
haughty panther
icy heron
#

that's pretty impressive tho thinkies

haughty panther
#

i'm curious if they included the specifically designed datasets about addition in the training data

old oak
haughty panther
fervent flame
#

(sotrue)

haughty panther
#

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

haughty lion
haughty lion
old oak
# haughty panther i guess though it probably would be more beneficial to society if they just said...

https://x.com/yuntiandeng/status/1889704768135905332 This is an experiment for an earlier model but apparently with the same methodology

For those curious about how o3-mini performs on multi-digit multiplication, here's the result. It does much better than o1 but still struggles past 13×13. (Same evaluation setup as before, but with 40 test examples per cell.)

#

They seem to have used fairly normal prompting, and reasoning was involved

#

I've just tested large multiplication myself, the answer is not correct.

#

,w 124310924810498*402948109510

fathom swallowBOT
old oak
#

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)

haughty lion
#

You should've asked for the result in scientific notation

old oak
#

(Note that the verbal description of the number is neither the numeric answer printed, nor the actual correct result)

crisp dust
#

graa Application questions and skills statistics based and common sense teach me

haughty panther
old oak
#

Well, it was verbose

#

50% accuracy

vernal oasis
#

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

old oak
haughty panther
vernal oasis
#

Probably pretty simple, thanks for the directions ❤️

keen linden
sharp mulch
clever quail
#

guys i have a doubt

sharp mulch
fiery hearth
#

Does anyone have alphabet of block letters for desmos?

old oak
#

Rude

tawdry stratus
#

not even close. its an opinion.

mint canopy
#

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.

ocean harbor
untold cedar
cyan forum
#

well played, hungary, well played

fresh comet
#

look at Albania catthimc

#

only country to think that Albanian is the weirdest language

fast bay
#

Or Finland

jovial ember
# untold cedar

Lmfao I get why Spain would say basque but why are any other country saying basque

jovial ember
#

Wait I might’ve already done this

#

Where I went “who is this new mod” and it turns out they only use help channels

tight copper
static vault
#

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…

limber thunder
#

me pvping in the sleep servers:

atomic tapir
#

I gotta say

#

This server is pretty cool

limber thunder
#

welcome catking

warm umbra
limber thunder
#

everyone should be welcoming

warm umbra
mellow moon
#

@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.

old oak
#

That's fair, if there's a system that incentivizes a certain style of writing then I can see that style being more prevalent.

mellow moon
#

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.

gusty bough
#

Oh hi

mellow moon
#

Better using it for future purposes than c-à-d which is less universal.

#

And using Latin is an actual flex.

gusty bough
#

Yep

#

Anyway I’ve got to study

#

Ciao

narrow carbon
#

which pdf reader do you use

limpid gulch
#

i use hex editor

#

just read the hex

narrow carbon
#

is it a pdf reader

limpid gulch
#

yea and you can read any file with it

rocky shuttle
#

i use bin editor

#

just read the binaries

limpid gulch
#

yea that's a lot better

narrow carbon
#

oh cool

#

i am using Okular

neat lintel
#

hi

#

how to

#

open a

#

help channel

rocky shuttle
#

type !help

limpid gulch
#

first get the needs help role

#

!help

quasi jettyBOT
#

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

topaz nebula
#

hello everybody

haughty panther
tawdry musk
#

Hi guys
I can't change the past.
Is 4.85/5.00 (foreign uni) good for MIT+ivies pure math PhD?

leaden patio
#

d

mint canopy
neat lintel
#

What math do artillerymen use?

fast apex
#

hii

limber thunder
# neat lintel What math do artillerymen use?

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

neat lintel
#

Thanks, but what parts of geo and trig?

limber thunder
# neat lintel 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

bitter lagoon
#

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.

true wedge
#

talk slower

trail fjord
bitter lagoon
narrow reef
#

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

wooden falcon
#

<@&268886789983436800> posting the same thing in multiple channels

wild lantern
graceful hawk
#

I'm back guys

fresh comet
#

welcome back catthimc

manic fractal
#

I back

sick creek
#

Surely it's a relatively standard area of mathematics to introduce in the first or maybe second year of an undergrad degree?

sick creek
#

Huh

#

It's very standard in the UK as far as I know

#

I wonder why there's a difference

static shuttle
#

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

sick creek
#

So you wouldn't start doing proper uni maths until the age of 22 or so?

sick creek
#

Also #calculus being "Early University" - do you not do any differentiation or integration until university?

sick creek
#

Wow

true zinc
#

Unless you take AP Calc

sick creek
#

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

agile fiber
#

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

sick creek
#

I find the US education system fascinating

agile fiber
#

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

sick creek
#

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?

peak tide
#

for example, in california:

agile fiber
#

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)

sick creek
#

What's the content of these courses?

#

And only 2 in that time?

#

How long are these courses?

peak tide
# sick creek That's very vague

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

agile fiber
#

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)

sick creek
#

What's covered in precalculus?

#

The UK doesn't tend to use these terms

peak tide
agile fiber
#

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)

static shuttle
agile fiber
#

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

static shuttle
#

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)

sick creek
#

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)

sick creek
agile fiber
#

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)

sick creek
agile fiber
sick creek
#

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

ocean harbor
#

any good horror movies recommendations

south dawn
#

how exactly do calculators calculate fractional exponents with negative bases?

untold cedar
#

so fucking accurate

south dawn
#

how do calculators handle that cuz (-1)^2 is real but (-1)^(1/2) isnt

ocean harbor
#

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

sharp mulch
coarse bridge
#

why are you here then?? 😭 😱 🤣

sharp mulch
coarse bridge
#

Yo that was kinda rude of me

#

I'm so, so, sorry man

#

forgive me.

#

you're not a meme upthumbs

near burrow
#

:true:

unborn meteor
stuck tendon
#

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?

north topaz
stuck tendon
narrow carbon
solid snow
velvet dagger
#

You want it to have no repeated roots to be diagonalizable

solid snow
#

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

velvet dagger
#

Oh oh

clever quail
#

how to compute greatest prime less than or equal to any natural number
in terms of prime counting function

empty mirage
#

:3

tight copper
#

good question, i dont think we have an algorithm tho

tight copper
empty mirage
neat lintel
#

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.

tight copper
#

an interesting view on mathematics and life

torn depot
north topaz
tight copper
jaunty jackal
solid snow
#

<@&268886789983436800>

untold cedar
south dawn
#

if x is negative and a,b can be any real number then calculation gets tricky

south dawn
#

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

south dawn
jaunty jackal
#

Also known as Königsberg.

untold cedar
#

idk, don't quote me on that or shame me for it opencry

I'm dumb as duck when it comes to geography

jaunty jackal
#

The region is also named Kaliningrad.

#

The city happened to extend its name to the region.

untold cedar
#

that won't stop me from calling it lil russia opencry

#

I need some Americans to confirm this (specifically the comment)

are they fr??

#

@woven rapids
u r from Florida right?

vocal vessel
#

Asteria wth are you doing here? You belong in Discussy proper.

woven rapids
#

I got pung

stuck tendon
#

that exatcly what i want

stuck tendon
#

but sadly did not trick the llm that i am working with

#

i need a more effective lie

haughty panther
# clever quail how to compute greatest prime less than or equal to any natural number in terms ...

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

light horizon
solid snow
#

<@&268886789983436800>

#

legendary golden ingot with a wrench react sharkpog

sharp mulch
#

<@&268886789983436800>

gentle birch
#

:(

warm umbra
#

welcome to the server @glass trench

old walrus
#

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

stuck tendon
#

yo

queen bobcat
stuck chasm
#

eaaeaaattttt meamememeeeee

sharp mulch
warm umbra
#

yes this was my guess

#

welcome to the server @stuck chasm

stuck chasm
#

welcome

stark trench
latent edge
#

I'm deltoid loves u :3

stark trench
latent edge
#

I love you more

stark trench
#

nope i love you morest

latent edge
#

i love your morerest

flat harbor
#

i wonder if blo loves u

#

probably

#

yea. blo loves you

ocean harbor
stark trench
ocean harbor
#

🙂‍↕️

stark trench
#

you CANNOT beat me, deltoid

#

you simply cannot.

#

magma is the MAGMASTER of love

#

your name has NO good puns

#

you are PUNLESS

ocean harbor
#

magma is a good name

fringe summit
stark trench
#

in light of my PUNTIFUL sum of puns on my name, you have nothing

flat harbor
#

girl im sorry but there is no name thats more punnable than blo

fringe summit
#

Also magma is NOT eligible

ocean harbor
latent edge
latent edge
#

once again

velvet dagger
flat harbor
#

hizae in chat

latent edge
#

Why is everyone wg'ing me

#

I don't have a gf lol

stark trench
flat harbor
#

everyone
2 people

latent edge
#

and btw this is platonic

latent edge
flat harbor
#

what abt with me delty

#

wuld u hold my hands

#

id let u ramble twice a day

velvet dagger
latent edge
#

how old is magmy btw

stark trench
#

im 16

latent edge
#

I thought you were a grad student for some reason

#

Even then

flat harbor
#

dam i got cold shouldered chat :(

stark trench
#

that makes some sense, i think

#

but yeah im not a grad student

timid bronze
ocean harbor
latent edge
#

Oh well I should've expected that from mathcord

#

Many talented peeps

flat harbor
velvet dagger
#

Brutal

flat harbor
#

i appreciate it tho love u back

latent edge
timid bronze
latent edge
#

I would hold hands in the midnight staring at the stars

#

chat is this platonic enough

fringe summit
flat harbor
#

yay

stark trench
#

man this ruined this whole thing for me

velvet dagger
stark trench
#

im changing my name

flat harbor
#

definitely platonic

stark trench
#

u guys are horrible

fringe summit
flat harbor
#

thats what u get for saying fuck u blo like three days ago ahahaha

fringe summit
stark trench
#

fine im changing it again

timid bronze
stark trench
#

alright new name

fringe summit
stark trench
#

och i can't handle the hate

velvet dagger
stark trench
#

this is my FINAL name

latent edge
#

it ok we still like magma cuz magma is silly :3

flat harbor
#

i keep forgetting allys like 30

stark trench
#

magma is silly :3

#

anyhow we do need to do that reading group

#

i think it'd be fun

fringe summit
velvet dagger
#

Blo really just be eating hot chip and lying

flat harbor
#

i also have a fat ass if that helps

#

listen to coldplau

timid bronze
fringe summit
flat harbor
#

it was a typo but i dont fix typos

timid bronze
#

Im 2005 baby

velvet dagger
#

That's really old

#

I thought the oldest people were like

#

100ish

flat harbor
#

dami

#

its like ukno. vtuber rp

velvet dagger
#

blo

stark trench
velvet dagger
stark trench
#

if deltoid is still down for it

flat harbor
#

we gotta respect this stuff

timid bronze
flat harbor
#

"im a dragon thats 2000 yrs old"

timid bronze
flat harbor
#

that kinda stuff . its culture

timid bronze
#

us humans need to be nicer to ourselves

velvet dagger
#

That's tru

stark trench
#

oh sloth ik it's a george michael reference but do you also hear music

velvet dagger
flat harbor
#

tightroping between inferiority and superiority complex is what lifes all about

timid bronze
#

What u say rn to urself would u say to ur Wife ?

#

No cuz ud two would divorce

#

So be nice to urself

fringe summit
fringe summit
stark trench
#

sharp this is my life

timid bronze
velvet dagger
timid bronze
fringe summit
timid bronze
#

im just saying in gegneral

stark trench
#

sharp i cannot take more algebraic number theory please sharp

timid bronze
fringe summit
fringe summit
timid bronze
#

Maybe like having some of those common red flags like unhygenic, liar, betrayer, etc i agree

#

But ur none of those

stark trench
fringe summit
velvet dagger
fringe summit
#

Anyhow

stark trench
#

yeah sharp is a classical logician ally

#

he should NOT be himself

timid bronze
stark trench
#

that's a negation, you see

#

it does NOT necessarily entail that i would not also assert he SHOULD be himself

velvet dagger
timid bronze
stark trench
#

im very smort

timid bronze
#

jk make him regret instead dont cheat back

fringe summit
#

I should not be myself because I’m insufferable

#

In person, especially

flat harbor
#

not again

#

sharp

#

cold shower time

#

come on hurry off

fresh comet
#

you are stuck in your own head over this

#

you are not insufferable

velvet dagger
timid bronze
velvet dagger
velvet dagger
timid bronze
#

Dami x Sharp

#

Darp

fringe summit
timid bronze
#

LMAOO

fringe summit
timid bronze
#

Dapple

#

Aww

fringe summit
#

will strike you down

fringe summit
velvet dagger
#

Exactly

fringe summit
timid bronze
#

ok i got my apple device before i knew about apples being unhealthy for u

latent edge
velvet dagger
#

Divorces?

timid bronze
#

devices

stark trench
velvet dagger
timid bronze
#

i cant divorce apple i never was with apple

#

u were tho

#

u said apple was hot asf

velvet dagger
#

w a t

latent edge
velvet dagger
#

Nobody even warms up apples to eat them

stark trench
velvet dagger
#

Silly Ally

flat harbor
#

im so glad im a samsung bitch

stark trench
#

nG is nG

flat harbor
#

ok but have u put oranges in the microwave before

#

or tangerines

#

amazing

latent edge
#

self-react + hyperfixation on langlands + super cracked

fringe summit
timid bronze
#

if ykwim

flat harbor
latent edge
#

true...

velvet dagger
jaunty ibex
latent edge
#

Liar.

ocean harbor
#

hi vero

#

i almost read your name as vro ngl

jaunty ibex
#

Bye

#

ok vro

stark trench
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sucks to suck

flat harbor
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this is so mean

ocean harbor
stark trench
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what is with people accusing deltoid of cheating on people

jaunty ibex
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???