#serious-discussion

1 messages · Page 189 of 1

latent edge
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yep

outer spindle
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rip for cs majors

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wanting to go to theoretical cs

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definitely a more steep

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transition

latent edge
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unless u are cracked in math or happen to be really interested in math as a cs major then yeah

limber thunder
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yeah I'm not sure what the transition would be for CS majors in that case

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since most CS degrees are focused in getting you ready for software dev positions anyway

outer spindle
limber thunder
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hard to network with people doing research ig

outer spindle
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for me

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i guess masters

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in theoretical cs

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there are such programs

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in europe

latent edge
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it helps to get you into research

outer spindle
limber thunder
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lol

latent edge
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at least the honours/general one

outer spindle
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i need to get into that cs program

latent edge
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there is an applied computing program which is what you described but the only downside to this is you will not get into a grad program in the future if you wanted

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there is also a software dev specialization (which in disguise just taking overload over overload of courses until you burnout like a fried chicken)

outer spindle
limber thunder
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lowkey wish I was a wageslave instead of a neet with a masters degree (I'd have a wage)

limber thunder
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a neet

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a literal neet

gusty socket
latent edge
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niito

outer spindle
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training

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neet for short

limber thunder
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actually I'm just taking a gap year while learning stuff and slowly working on some projects tho

gusty socket
outer spindle
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at least ur doing stuff

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especially being self paced n stuff

limber thunder
latent edge
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im trying to make a project euler-like website as my new project

limber thunder
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nice, like successive challenges

latent edge
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yeah

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still have not decided what kind of UI design I should go with

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I already figured out all the backend stuff

outer spindle
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let it operate in the terminal

limber thunder
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client interacts with the website purely through GET requests in the browser console

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:sotrue

latent edge
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so real

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i prev made a job hunting application as my project

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it went really well

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and it was massively motivated by my job hunting PTSD

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I guess with great PTSD you can create nice stuff

outer spindle
latent edge
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so real

limber thunder
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basically some kind of canvas app to make specific TikZ diagrams in browser

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particularly euclidean geo

latent edge
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I would say my project is done (if you ignore the awful UI)

limber thunder
limber thunder
latent edge
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so real

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me convincing myself that frontend dev is the way to go

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slowly gets interested in backend

outer spindle
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at first thought backend seems more interesting

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although to be fair

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i dont know much

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about frontend

tawdry pecan
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im so bad at frontend design

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CSS kills me

latent edge
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idk I thought frontend was cool and backend is just boring stuff (it was the opposite)

limber thunder
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the other day I read a post in Threads that was like, this front/end distinction is so stupid and people 10 or 15 years ago were expected to just know how to create a web app

tawdry pecan
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bruh LOL

limber thunder
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obviously it's a natural consequence of scale and specialization, and some things in UI are best left to actual designers

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but still the distinction feels kind of dumb and imo people shouldn't especialize early in this sort of stuff

latent edge
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yeah no matter how good u are in ui design, the average ui designer will just be more productive overall and have better results

tawdry pecan
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well specialization increases standards too

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so back then frontends were probably not as great by today's standards

limber thunder
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true

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not as great, not as staggeringly complex

latent edge
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nowadays everyone wants to be a fullstack dev bro

limber thunder
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well most people just need fullstack devs

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if I had to guess only big corps can afford specialized back/front peoples

outer spindle
tawdry pecan
limber thunder
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true though some of these component libraries do be bloated

latent edge
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"im fullstack dev"

npm i
100000000 node modules get installed to write a basic app that says hello world
"this is very web scalable"

tawdry pecan
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LMAO fr

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proton shit too

latent edge
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u mean electron

tawdry pecan
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ah yeah

latent edge
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yeah electron is diligentBleak

tawdry pecan
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i dont work with this stuff when i dont have to mb 😭

latent edge
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afaik discord is built from electron

tawdry pecan
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i think so yea

latent edge
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rewrite in rust fr

tawdry pecan
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LOL

limber thunder
short moon
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Hello

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If I got 5800 every 42 seconds how long until I get to 5m if I’m at 1215438?

limber thunder
fathom swallowBOT
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Result:

27405.448965517
limber thunder
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that, in seconds

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I guess you can then work out how many days, hours etc. that is

ionic star
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below 8 hours

pale river
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Why do some mathematicians include 0 in the set of natural numbers guys?

surreal sapphire
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because its more convenient

sharp cave
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Because 0 is natural

gusty socket
peak tide
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"testing, 0, 1, 2" - donald knuth at a microphone, supposedly

latent edge
gaunt rampart
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i thought the naturals dont include 0?

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i got chewed out once by a professor for including it once

limber thunder
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in some math traditions it is included

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(like france's maybe)

gaunt rampart
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oh is this like starting the fib sequence from 0 cause its easier sort of deal

limber thunder
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that sort of stuff yeah

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more generally I could think of it being useful to describe sequences that start at a "0-th step" or an initial "time" of 0

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idk if this is the actual historical reason there's probably some math stackexchange about it

short summit
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ive always considered it natural and even also xd

limber thunder
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well, it is even

gaunt rampart
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i think 0 even would get me crucified by my lecturer

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wait it is even the hell

icy locust
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(oops didn't mean to ping with a shitpost :/)

burnt ledge
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0 is uncontroversially even

icy locust
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I don't recall anyone arguing about parity of 0

gaunt rampart
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no just me being dumb

surreal sapphire
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historically numbers represent lengths, which makes zero a bit weird

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but today this isn't an issue anymore

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just do what suits you

icy locust
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like becoming a finitist??

surreal sapphire
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?

limber thunder
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I mean if that suits you

icy locust
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I mean, rejecting existence of 0 sounds as dumb as rejecting \infty to me

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(I'm not necessarily talking about surreal numbers to be clear)

surreal sapphire
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what a weird comparison considering that 0 is a number and infinity is not

old oak
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How about ω?

icy locust
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you have a point

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hmm

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are ordinals numbers?

sharp cave
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For notational convenience, I feel like N should always have 0 as Z_+ is an immediately clear notation for positive numbers. (atleast in analysis)

brazen mulch
raven plaza
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I stand by $\mathbb{Z}_{>-1}$ and $\omega+1$

fathom swallowBOT
feral kraken
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I was going through Spivak's exercises and one of the q was this:
Ax: (x \in [0, 1]) => (f'(x) >= M > 0). Prove that 4|f| >= M in an interval the length of which is 1/4

Wonder if this applies to all n

half wolf
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What are the safest methods to prevent having a bowel movement during university hours? I would appreciate some tricks, even if they are extreme measures, as I want to be able to go throughout the whole uni day without worries anymore. (This is not satire)

queen zenith
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Hey guys, I have a serious question. My mind is set on a bsc with mathematics (3 year study) but it seems like the chatgpt math tool can answer any and all questions about math, including some math Olympiad questions which I can't solve. So what's the point of studying math if an AI tool (which is constantly improving) can do everything better than me?

small dust
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what makes you think chatgpt can do that lol

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i would not be surprised if chatgpt can sometimes give a reasonable answer to an olympiad question that already has a solution on the internet available

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it's unlikely to come up with anything insightful for nontrivial questions where that isn't the case though

strong gorge
queen zenith
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It just seemed quite "intelligent" to me when I asked it olympiad questions

I would be really glad if it is incapable of solving more advanced, nontrivial questions

limber thunder
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LLMs are really good at faking intelligence, since they're mostly engineered to churn out text that seems convincing to humans

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however a lot of times they have a hard time following logical instructions and a lot of current research is going into that

queen zenith
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So are you saying that it generally wouldn't be able to solve an original, difficult problem of university levep for example

limber thunder
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as a former uni prof I've done that sort of experiment + asking it to generate question sheets etc

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output was was always mostly nonsense

queen zenith
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And do you think it might gain that ability in the next ±20 years?

limber thunder
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20 years is plenty, hard to predict how tech will go in that long

small dust
limber thunder
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helps to be aware of these technologies, learn their potential but also their limitations, and then incorporate them in your workflow accordingly

queen zenith
limber thunder
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currently I only use Claude for copywriting and to help me write e-mails or blogposts lol

queen zenith
limber thunder
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having multiple skills is always good

queen zenith
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Great, I love coding (and playing music)
I'm also considering taking psychology along with maths, I think that could be an interesting choice

limber thunder
limber thunder
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and that was 2016 😵‍💫

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if we're talking merely in job market terms I'm sure the amount of competent math/stats people who also can reasonably implement psychometric models for instance, is near zero

queen zenith
limber thunder
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just an idea lol

limber thunder
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this is your first msg how can we be sure this isn't an ad

queen zenith
scarlet fox
limber thunder
scarlet fox
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it'll make you better at calculus

limber thunder
queen zenith
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Good moderator👏

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But thanks for the advice, this really takes a lot if worry off my soldiers, and I look forward to where I'll end up one day

limber thunder
neat lintel
gritty crater
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Is pound (lb) a unit of mass or force? Or it is used for both? wut

rocky shuttle
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both

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usually lb is used for the unit of mass ig

gritty crater
rocky shuttle
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well, then that's unusual

noble pond
agile fiber
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since the weight of a pound mass is a pound force

gritty crater
agile fiber
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but uscs units aren't used in space programs anyway

barren anchor
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yeah what's important about knowing what a pound is

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I'm working with measures a lot lately and man we really do seem to have it figured out

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measures being different than units but sort of related

next wyvern
hollow ginkgo
agile fiber
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even at the top of mount everest there's only a 0.3% discrepancy so it's not a huge distinction

wicked oriole
agile fiber
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there is roughly an 0.5% discrepancy between equators and poles, standard gravity is between them so a maximum discrepancy of 0.25% either direction

wicked oriole
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Interesting

earnest dove
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what are the pro of learning LaTex

ocean harbor
vivid halo
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it's not strictly necessary but people will think you are weird or at least not a mathematician if you don't use it

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a lot of people in physics use microsoft word instead of latex and this is really painful to read and write mathematics with

earnest dove
odd ledge
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does anyone know easier/faster way to find LCM

surreal sapphire
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easier/faster than what

ionic star
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the easy way is to look at multiples of the larger number

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e.g. lcm 8,12
12,24,36,48

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24 is the first one that can be divided by 8

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so lcm 8,12 is 24

north topaz
pure hollow
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shm lcm is just the productof max of the powers of the prime numbers

dapper juniper
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hii

thin mauve
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i have hcf and lcm for hw for some reason

thin mauve
static loom
raven plaza
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Euclidean algorithm ages like fine wine

cinder zephyr
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a mentor of mine wrote a cool paper on the complexity of computing GCDs of polynomials

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gotta dig into that paper and his talk

pulsar pagoda
lapis hull
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lol

coarse bridge
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lmao

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fuck

lapis hull
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Muted them already

maiden steeple
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chat online?

visual breach
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No, no one is online in this cursed timezone

old oak
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<@&268886789983436800>

solid yarrow
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Outsider here to save the day :3

old oak
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If only it was always this easy

solid yarrow
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True.

pale cave
cinder zephyr
vivid halo
cinder zephyr
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wdym 😭

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I guess the spacing is overkill

true zinc
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ew

pure hollow
burnt ledge
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how would u do it

vivid halo
burnt ledge
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what would be different

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inb4 goodness coefficieny

visual breach
pure hollow
cinder zephyr
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I mean like

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there aren't much better ways to do it

vivid halo
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you can certainly make it more consistent though

cinder zephyr
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sure

vivid halo
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here give me a second I'll make it better

lapis hull
cinder zephyr
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you can make it more symmetric

lapis hull
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Though tbh it really isn't that bad...

vivid halo
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it is pretty bad

cinder zephyr
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I support the many \vdots to make it more square though

lapis hull
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Though I don't see why g1 is written but f1 is not

cinder zephyr
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^ that's my only complaint

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but like

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minor issue

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I wouldn't say "pretty bad"

vivid halo
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nah it's a mess use your eyes

cinder zephyr
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I am but I fear I may be blind

vivid halo
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not going to go through the effort of typing this (which is probably the excuse these people used to not fix it) but you could do something like this

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you can always add a few more entries if you want to disambiguate the indexing more

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but you can certainly make things way more symmetric and consistent

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I think what bothers me so much is that they don't seem to have any actual reason for putting certain vdots and ddots in various places

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or putting various other entries

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I am reminded of the typesetting in another paper

lapis hull
vivid halo
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yeah it's not hard I'm just lazy

lapis hull
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Very valid!

lapis hull
vivid halo
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hmm this is complicated enough that it's slightly easier to draw out first instead of trying to keep all the spacing in my head
draws it out
oh well I guess I can just screenshot it

cinder zephyr
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why not just write diag(t_1, ..., t_2g)

vivid halo
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yeah shiver

lapis hull
vivid halo
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it's kind of an incredible piece of typesetting

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like you stare at it and try to identify a single rule that would lead to typesetting like this, and you just can't

icy locust
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Isn't it just misaligned or uneven hbox

vivid halo
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no it's way worse than this

jagged forge
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the two things that look weird to me are the giant ( next to the { and the lack of space between | and t_i

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i'm not sure if it would look better if the {} were blown up though lmao

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oh also the 0s....

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tf

vivid halo
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this is in the final published version by the way

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the editors were like "yes good"

lapis hull
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But also what's the reason to not just write t1...t2g

vivid halo
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I do NOT KNOW

lapis hull
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This is the worst thing I have ever seen

icy locust
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ACCEPTED

vivid halo
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lmao in Morel's Shimura varieties book

lapis hull
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Btw did you look back for this just now, or do you have a saved screenshot of this

vivid halo
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you can see how overfull the hbox is

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in the published version this shit gets broken into two lines

vivid halo
lapis hull
jagged forge
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i was wondering what those lines were for a sec

lapis hull
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Is the paper good at least?

vivid halo
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god why did they need so much vertical space for this

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they are all diagonal

lapis hull
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LOL

vivid halo
old oak
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Love the huge braces

vivid halo
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ahh yes good old \BIGGGGGG

jagged forge
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well we saw what it looks like without big braces earlier

vivid halo
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no it's awful

lapis hull
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Yeah

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Oh

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LOL

vivid halo
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well like

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I learned a ton from it and my thesis was kind of meant to prove a more general result than the one in this paper

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the paper doesn't actually prove the result though

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it does the two easiest cases in detail (which are good, and I learned a ton from these)

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but then the hardest most fucked up case it's just like

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"this is a tedious computation, here is the answer"

lapis hull
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Lmfao

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Based

vivid halo
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lol said author kinda gave me a hard time for not doing certain details in my thesis as well as I could have

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but it's like

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he doesn't prove it either

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so he has a non-proof of a result, and I have a non-proof of a more general result

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lmao my advisor was giving me such a hard time for not completely proving this thing and at some point he was like

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well how does Harder prove it in the level 1 case?

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and I'm like oh he doesnt

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and my advisor is like oh lmao

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ugh I know how the details go but it's so fucking bad to write out

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so like I can do this proof in complete generality for maximal parabolic subgroups

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and this case is fucked up because it's not a maximal parabolic

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I emailed Harder being like yooo pls tell me the details of this computation

vernal token
vivid halo
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and so he sketches it out for SL_2 for simplicity instead of for Sp_4

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and i'm like yeah yeah I know how to do it for SL_2 it's a maximal parabolic, how do you do it for Sp_4 though

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and he's like "oh it's similar"

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fuck sake

vernal token
proper zenith
#

guys pls give me courses to linear algebra calculus and probability to go deeper in AI i need courses pls i want u to guide me because i foudn out that if i am not guided with a real organised program i cannot advance and the advancement part will take lot of time so pls help me i am sure you are experiemented

jagged forge
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no crossposting plz

cinder zephyr
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@vivid halo ok speaking of typesetting

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currently reading a paper

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footnote starts with 1 sentence on one page

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rest of footnote (which includes a picture!) continues onto next page

lapis hull
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inline picture is cursed

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but continuing a footnote is not so terrible, is it?

cinder zephyr
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but like

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just put the whole footnote in one place

vivid halo
lapis hull
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I think this is done automatically

cinder zephyr
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it is automatic

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doesn't make it right

vivid halo
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inline picture can be nice

lapis hull
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i disagree!

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TeX's algorithms are faultless

cinder zephyr
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Claim 21 should be on next page

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ok Knuth

vivid halo
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okay yea this is an insane use of inline picture lmfao

lapis hull
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Knuth is so cute

cinder zephyr
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fuck the editors, just put a \clearpage right before the Claim

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We should be more liberal with forcing page breaks

icy locust
sonic sentinel
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is it with the line making it confusing

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is it the aesthetics

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fuck aesthetics

limber thunder
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some unbreakable environment and let latex handle it and probably cry about underfull vbox later

limber thunder
#

timed out for flooding

modern saddle
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Helloo

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Do degrees expire

limber thunder
analog abyss
#

As in, the things you get from universities?
No, although if you’re going for something more academic, and it’s been a while, places may want to test you or similar to make sure you still have the relevant knowledge

limber thunder
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yes that's right

modern saddle
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:/

limber thunder
#

though tbh the more you grow up the less relevant education becomes, employers start looking at your experience mostly

modern saddle
#

Fr

analog abyss
limber thunder
#

as well as other, smaller certifications you can get to update your base of knowledge

limber thunder
cinder zephyr
# sonic sentinel what's the issue

It's the fact that the claim is at the very end of the page so they could have added a \clearpage easily and have it look fine and have the whole footnote in one page

covert tinsel
#

Anyone wanna help me with hypothesis testing (a level) ?😁

gloomy copper
#

How to say this verbally
θ = arc l/r

outer dome
#

I don't understand what you mean

gloomy copper
mild belfry
#

Idk if this is the server to ask this in but, if there is nothing faster than light, but a black Hole's gravitational pull is capable of not letting even light escape, does that mean a black Hole's gravitational pull is faster than light?

zealous garden
#

nothing can move through spacetime faster than light

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"space" "moves" "faster than light" in a blackhole

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I think the better way to think about is that the black hole is curved spacetime

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and just like the curvature of the Earth

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at a certain point it gets so intense that you can't see past it

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there's something in the way

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that's pretty much it

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not only can you not see what's on the other side of a black hole, but you can't ever see anything ever actually pass the event horizon

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it looks like it slows down and fades out infinitely (assuming it didn't get ripped apart by tidal forces at the accretion disc and wasn't swept up into a relativistic orbit at significant fractions of the speed of light)

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the event horizon is literally a horizon

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where spacetime has curved so extremely that our timeline no longer includes that set of events

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it's less "what is moving" or "how fast are things moving" and more "what are the possible paths"

sonic sentinel
#

is it plausible that i could learn dutch just by reading the language + hearing TTS speak the words as i read?

limber thunder
#

you'd need some way to understand the meaning of the words

sonic sentinel
#

i think i have about as much comprehension of dutch wikipedia (a language i don't speak) as i do of arabic wikipedia (a language i say i sort of speak)

limber thunder
#

also any decent language learning program will have you write and speak as well. Forming your own thoughts and expressing them in the target language is very important to learn it

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maybe find a study group or some kind of server/community where you can connect with native dutch speakers?

sonic sentinel
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oh i don't have a goal to learn dutch

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i was just curious about whether i could do this because it seems like i understand it as well as a language i tell people i speak

limber thunder
#

I see

limber thunder
# sonic sentinel i think i have about as much comprehension of dutch wikipedia (a language i don'...

A passive speaker (also referred to as a receptive bilingual or passive bilingual) is a category of speaker who has had enough exposure to a language in childhood to have a native-like comprehension of it, but has little or no active command of it. Passive fluency is often brought about by being raised in one language (which becomes the person's...

sonic sentinel
#

yeah that seems like a likely scenario

limber thunder
#

it's also more likely to happen when you already know a very similar language

sonic sentinel
limber thunder
#

e.g. in Latin America, Spanish and Portuguese speakers can kind of understand each other but when communicating we end up forming a weird amalgamation of both languages

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that some call portuñol or portunhol

sonic sentinel
#

lovely

limber thunder
#

happens to some pairs of European languages

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and there's also the other kind of phenomenon where it can happen asymmetrically, i.e. one understands the other language but not the other way around

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language is fun

sonic sentinel
limber thunder
#

I don't think so

sonic sentinel
limber thunder
#

depends very much on the particular pair of languages

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though e.g. romance languages as a family don't stray too much from each other, that's kind of the point of classifying them as such, as coming from the same historical languages

sonic sentinel
#

i had the random unrelated thought of using AI trained on English at various points in history to try to predict what future English looks like (for fun).
i'm guessing you could do this without AI but maybe it could pick up on trends you didn't notice?

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i feel like fine-tuning an already existing language model to do this, and telling it the text it should predict was written in 2100, it would try to predict like new technologies in the text, or think it's writing a sci-fi

limber thunder
#

perhaps, it's complicated to predict how social stuff will unfold though

sonic sentinel
#

so either a dumb language model or somehow lobotimize a smarter one

burnt ledge
gray shadow
#

dude calculus kinda easy tbh

true zinc
burnt ledge
#

a word* i just noticed this

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a weird 😭

burnt ledge
true zinc
#

So when we speak it sounds very informal

tropic mica
#

Even Einstein found it like super hard man

solid snow
#

no he didnt

true zinc
#

Diff geo moment

quaint cipher
true zinc
#

I'd prove this rn if my body weren't in too much pain to draw on a whiteboard

tropic mica
#

Like obviously yk

solid snow
# quaint cipher

the bottom formula can be obtained with the general reduction formula for the indefinite integral of sin^nx

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then plug in n = 0

quaint cipher
#

Why do they list (n+1)I_nI_n+1 separately? Does it have any significance?

solid snow
#

the reduction formula as i mentioned

quaint cipher
#

ok, also how to calculate \sqrt{n}I_2n+1 as n\to \infty?

solid snow
#

try yourself first

quaint cipher
#

I guess I have problem in calculating I_2n+1

verbal karma
#

One thing that I need to tell you is that: If you are in class and you understand nothing, it is best to ask your instructor about this.

verbal karma
#

We can help you on specific topics

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but not like we are your instructor who knows all the content you have learned, the style, and the problem you face. I'm not saying that no one here will help you, but we need more context. It is best for now to talk to your teacher first then come here with specific help.

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Because, first of all, we don't know what will be on your upcoming test

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what I meant is that, without clarification, your teacher is your best bet here. We don't know what will be on your test nor how to help you effectively. Right now, we can only give you generic advice like watching youtube, use Khan academy.

vast wraith
#

tfw physicist edward teller (of hydrogen bomb fame) recounts general unsolvability of higher-order polynomials:

#

to be fair he's just off by one and a first name

pure hollow
tropic mica
#

bro needs to lock in

pure hollow
#

real

fresh comet
pure hollow
#

hm?

tropic mica
#

higher is like an omnipotent being that comes and drop a gif and leaves

old oak
#

A being from a higher! plane of existence

pure hollow
fresh comet
#

higher! lisayay

wet mortar
neat lintel
#

is it a misconception that applied math is less rigorous than pure math

river moon
#

yes

vivid halo
#

I mean it's sort of the wrong question: pure and applied mathematicians tend to be interested in VERY different things

#

and accordingly the standards of rigor for writing about these things have developed differently for different reasons

#

same thing in physics compared to math

#

they have different goals

#

a lot of physics looks sloppy and loose compared to pure mathematics if you are pretending physicists are trying to solve pure mathematics questions exclusively

neat lintel
#

is a math and physics double major worth it if you want to go into applied math but your school doesn't have an applied math degree

neat lintel
#

I think just do the math degree, and focus on the applied math courses/specialization. And take physics/engineering/CS/etc. electives.

#

physics minor?

#

they have applied math courses

#

has anyone studied langrangian mechanics how hard is it

subtle kettle
#

What was found first the natural logarithm or euler's constant

burnt ledge
#

the anti-nobel

burnt ledge
vast wraith
burnt ledge
#

:-\ maybe pierre galois really did talk about all that, and évariste just ruined it afterwards?

vast wraith
#

are you claiming that the general quintic is solvable?

burnt ledge
#

Yea it was for a few years

#

after pierre galois proved it and before évariste galois disproved it

#

Okay i give up no im just makign a joke based on that he got galoises name wrong

vast wraith
#

damn i didn’t realize

strange glen
#

Hi I need help

ocean harbor
surreal jacinth
#

im cashing out the fire insurance on my house (accident) and going to vegas to make it big with GTO poker any mathematicians you can come if your smart

#

offer only available to the august grey haired mature crowd of discussion2 dont tell d1

fringe summit
#

insurance fraud lookin

surreal jacinth
#

what is insurance fraud. tomorrows fire is an act of god

fringe summit
#

that's pretty illegal

mild parcel
#

what happens in discussion 2

#

evil discussion 2 be like: let’s not discuss math

fair fox
#

Anti math

mild parcel
#

evil math be like: lets NOT integrate the area under a curve

agile fiber
#

integrate the area above a curve

fierce fox
neat lintel
vast wraith
#

personally my favorite solution for it is via klein’s icosahedral invariant

#

hm?

old oak
#

I mean, there might be better approaches than Newton's, I'm not up do date on numerical methods, but the point stands.

#

Netwon's method does have the advantage of being theoretically doable without a computer if you're in a pinch

#

Not everyone might know that, but Newton didn't even have a computer.

old oak
vast wraith
#

numerical methods are pretty cool

#

and there are certainly better approaches than newton’s

uneven galleon
#

Would you rather be up to date with every news today or be able to prioritize your task well

Or.. do you have any other tips in balancing it?

neat lintel
#

Prioritize my task well

#

News just make you depressed

light olive
#

any websites for math questions of all levels ?

uneven galleon
burnt ledge
#

holy <@&268886789983436800>

solid yarrow
old oak
burnt ledge
#

guy spammed @​everyone

solid yarrow
neat lintel
# light olive any websites for math questions of all levels ?

It depends what you are looking for. https://madasmaths.com is a good website for basic stuff. For more advanced pure maths, you are best searching up "topic : course page" and you should get some results. Alternatively, whilst this is not a website, you can search up books with "problems and solutions" or "exercises and solutions" regarding your topic of interest. Many people on the Mathstackexchange will often have already asked this question for these books, so you can just use their suggestions. Hope this helps!

pure hollow
south thicket
pure hollow
south thicket
#

Ooh

gritty crater
#

Can't unsee this now, IoI

pure hollow
icy locust
true zinc
unborn meteor
vast wraith
keen abyss
#

Multiplication symbols chasing down absolute zeroes

#

I am not allowed to embed rip

quick beacon
#

@fallow grail no, that is incorrect.

fallow grail
#

yeah bro

#

hmmm

quick beacon
#

3*sqrt(5) = sqrt(45)

#

whereas 15 = sqrt(225)

#

(it's off by a factor of sqrt(5))

fallow grail
#

wait it was {3*squt(5)}^2

#

is that correct?

quick beacon
#

(3 * sqrt(5))^2 = (3^2 * 5) = 45

fallow grail
#

k

#

thx

quick beacon
#

yw

steep mountain
whole tangle
#

I urge u all to never use de groots book for stats and probability. Hands down an awful book too lazy to provide proper solutions. “We provide solutions to every other question except when it’s too much effort and we don’t explain the solutions”

gusty socket
#

sounds like all math books

whole tangle
#

“Question 7 is a difficult one lucky for me it’s an odd number let’s check the solution” SKIP - De Groot

#

How do u even learn from this when the examples in the text are nothing like the problems

#

And no explanation is provided

#

Must I run to chat gpt?

#

I can’t send u the picture of the question

#

But I swear it has nothing to do with the content of the chapter , expectations

#

“Suppose that a particle is released at the origin of the xy-plane and travels into the half-plane where x > 0. Suppose that the particle travels in a straight line and that the angle between the positive half of the x-axis and this line is α, which can be either positive or negative. Suppose, finally, that the angle α has the uniform distribution on the interval [−π/2, π/2]. Let Y be the ordinate of the point at which the particle hits the vertical line x = 1. Show that the distribution of Y is a Cauchy distribution.”

leaden torrent
#

that seems fairly typical?

#

idk how the text's exposition is but the actual problem doesnt seem particularly bad

#

not defining "ordinate" is a bit mean though

#

its definitely an expected value question though, youre computing the distribution of the ordinate which collapses to an expected value in the mean

tired haven
#

does anyone have a good slideshow background

verbal karma
verbal karma
light olive
restive stone
#

are there any irl math meetups in the bay area not for kids?

gusty socket
#

there are many bays

flat harbor
#

i asked for one for like

#

MONTHS

#

everyone who was in the area was like. 14

safe stag
#

rgxdf

sonic sentinel
#

why in economics class, rational actors are said to be making decisions at the lowest opportunity cost, which is defined as the cost of not having picked the BEST of the remaining options

#

if you've already defined what the best choice out of a set of choices is, then you can just say that a rational actor makes the best choice?

#

what am i not getting

sonic sentinel
thorn kelp
#

I'm addicted to gaming

#

there's no way

#

I just

#

can't do my work

#

all the time

#

and I keep procrastinating

#

and then I just pull an allnighter

#

and it just looks stupid

vivid halo
#

that is stupid yea

eager reef
#

indeed

#

have you considered deleting your games for a while

haughty quest
#

Get someone to give you a really horrendous task, so that you suddenly feel like procrastinating by doing the other work instead :P

civic thistle
#

its 4:55 am

#

and i havent slept since 6 am yestarday

vivid halo
#

no eepy gang

true zinc
#

<@&268886789983436800> Advertizing

limber thunder
solar hawk
#

f,g are cts on an interval around a

#

f(a) = g(a) = 0

#

lim f’(x)/g’(x) -> L as x -> a

#

@bright hill I’m gonna start it now

#

This is the correct assumptions for photos rule right

#

Lhopitals*

bright hill
#

...

solar hawk
#

Thx

bright hill
#

typoing photos for l'hopitals is wild

solar hawk
#

lol

#

It’s autocorrect

#

Anyway

#

Is this sound?

#

What I said is

bright hill
#

but yea, nah

solar hawk
#

Wdym nah

bright hill
#

this is a weaker version of l'hopital

#

l'hopital is a lot more general

solar hawk
#

Huh

#

Then what hopital

bright hill
#

you don't even need f(x) to be defined at a

solar hawk
#

f and g may not be differentiable at a also

solar hawk
bright hill
#

:3

solar hawk
#

In Abbott this is lhopitals

bright hill
solar hawk
#

Ok can u check my proof tho

#

So anyway
Let e > 0
There is a d so that

bright hill
solar hawk
#

I had x \in (a - d, a + d)

#

(Pick delta so that for the e>0)

#

This is true

#

|f’(x)/g’(x)| < e

#

Ok

#

So

bright hill
solar hawk
#

Sorry

#
  • L
bright hill
#

ye

solar hawk
#

- L

#

Just imagine it’s there

#

I’m too lazy to write it

#

So anyway

#

I decided to do smthn freaky

bright hill
#

you really don't have to

solar hawk
#

X = (a,x)

solar hawk
bright hill
#

it's way simpler than what you have in mind prolly

solar hawk
#

Ok just trust me ok

bright hill
#

like, think simply

solar hawk
#

Just check if what I actually have is right

#

X = (a,x)

bright hill
#

what do you think the simplest proof to this would be?

solar hawk
#

Darq I know there is an easier way

#

I’m not worried about the exercise

#

I’m talking about the proof

bright hill
#

oh oki

solar hawk
#

For all t in X, right

#

Since X is a subset of

#

The delta ball

#

So anyway

#

Now I use the mean value theorem

#

there is a c in X so that

#

[f(x) - f(a)]/[g(x) - g(a)] = f’(c)/g’(c)

#

Right?

#

But the f(a) and g(a) are zero

#

So there is a c so that

#

f’(c) / g’(c) = f(x)/g(x)

#

But since |f’(c)/g’(c) - L| < e

#

The same follows for f(x)/g(x)

#

right???

#

Pls

#

Hopefully it’s right

#

Darq darq plssss

#

Bbbbbbuh

#

Hi

bright hill
#

lemme read it again

solar hawk
#

I COOKED

#

SARQ I COOKED

#

OMG

#

DARQ I COOKED DEARQ SARQ

bright hill
#

ok, so you're saying, for all x in the epsilon ball

#

|f(x)/g(x)-L|<e

solar hawk
#

Consider a new interval and apply the mean value theorem there

bright hill
#

coz of the mvt

solar hawk
#

yayayayayay

latent edge
bright hill
#

yea

#

that makes sense

solar hawk
#

Thanks

bright hill
#

again, that's close to what you do in general

solar hawk
#

Ily ur the best teacher every

bright hill
#

but in this case, you just

solar hawk
#

I just

jagged forge
solar hawk
#

Ru proud of me

#

I’m an adult

#

Almost

bright hill
#

and to fix it I just did your argument again lmfao

solar hawk
#

Am I wrong too then

bright hill
#

no

solar hawk
#

Yay

#

Ur the best teacher

bright hill
solar hawk
#

Or two

jagged forge
#

what are we talking about again

solar hawk
jagged forge
#

ah

solar hawk
#

Ru atleast proud I spell it out now

bright hill
jagged forge
solar hawk
#

Possible

#

And two

#

Idk how much longer I take

solar hawk
#

It’s supposed to be finished last year

#

(Which was like 2 months ago)

bright hill
#

@solar hawk this is inchresting coz under the same assumptions you can also prove that, if f'(a) and g'(a) both exist

#

and g'(a)=/= 0 then

#

this essentially

#

so if you take g(t) = t-x

#

you get that \lim f'(x) = f'(a)

#

that is, f' is continuous at a

#

which is inchresting since f' need not be continuous

#

so the mere existence of \lim f'(x) implies f' is continuous at a

#

never realized this before holothink

#

or maybe we're both wrong opencry

vivid halo
#

block matrices can't hurt you
the block matrix:

#

that last row/colum really be like "oh shit I forgot my wallet"

frank flint
solar hawk
#

I literally said

#

Darq

#

If a function is differentiable everywhere except one point on an open interval

#

And the limit of the derivative exists

#

Then that’s the derivative d

#

And

#

Ya

jagged forge
#

darq got rolled by amukh

bright hill
charred sundial
#

Dude, I'm trying to learn basic math, but I already have a base, it's not very good, does anyone have any tips?

solar hawk
bright hill
stray fox
#

hey @solar hawk

solar hawk
stray fox
#

so

solar hawk
#

Contour = line

#

?

stray fox
#

your last message : This entire time a contour integral was just a line integral in complex analysis?

solar hawk
#

I’m familiar line

stray fox
#

A contour integral can be a collection of integrals or just a simple path integral

#

( IE, when you get to contour integration )

solar hawk
#

Mm wait

stray fox
#

alright

solar hawk
#

A contour

stray fox
#

Yes.

solar hawk
#

Is like those contour lines

stray fox
#

yeah

solar hawk
#

On like

#

Yk

#

Is that what those r meant to integrate

stray fox
#

a contour is a type of curve, so a contour integral is... a path integral.

solar hawk
#

Oh ok

#

Why r they given a special name then

#

And how can they be used to compute real integrals better

stray fox
#

Because they are heavily used in contour integration, this is the method you might see in my profile picture and to compute real integrals.

#

,av @stray fox

solar hawk
#

Is the residue theorem on contour integrals

fathom swallowBOT
#
almond3's Avatar

Click here to view the image.

stray fox
#

contours are specifically complex

solar hawk
#

Ok

#

What’s the residue theorem state?

stray fox
#

The residue theorem states that the contour integral ( $\oint_C f(z)dz = 2\pi{i}\sum_{n=0}^{\infty} \text{Res}(f,z_n)$ is equal to the sum of the residues

solar hawk
#

What’s res

#

Is the bitten meant to be n = 0

fathom swallowBOT
#

Makenna

solar hawk
#

Ok

#

Yay

stray fox
#

yes, corrected it

#

the Residue, that's normally the big thing in complex analysis

solar hawk
#

Is z_n points on the curve

stray fox
#

and what you probably spend the most time on

stray fox
#

lmfao

solar hawk
#

Call her a not asymptote the way she doesn wanna get close to me

stray fox
#

fr

solar hawk
#

Ok

#

I wanna compute some integrals with complex analysis

stray fox
#

alright

solar hawk
stray fox
#

I can give you the simple formula if you want, though it might not do too much to you, because there is some specifics

solar hawk
#

Oh

#

What’s the pre reqs

#

How long does canalysis take

solid snow
#

just read bruh

solar hawk
#

😭😭

#

No I need to plan

#

Ima finish Abbott first obvv

#

Wanna hear a math joke

stray fox
#

$\text{Res}(f(z),z_0)=\lim_{z \to z_0}(z-z_0)f(z)$

fathom swallowBOT
#

Makenna

stray fox
#

THIS IS FOR THE FIRST DEGREE

#

higher order " poles " ( oh god I have to explain that )

#

$\text{Res}(f(z),z_0)=\frac{1}{(n-1)!}\lim_{z \to z_0}\frac{\mathrm{d^{n-1}} }{\mathrm{d} z^{n-1}}(z-z_0)^n f(z)$

fathom swallowBOT
#

Makenna

stray fox
#

This is for higher order poles

terse comet
#

@odd narwhal when are we rescheduling our fight for

bright hill
#

@solar hawk anywho

#

as I was saying

solar hawk
#

Hiiii

#

Saryquwue

bright hill
#

during lecture you're really not supposed to like

#

understand 100% of the proof and theorem statements etc

#

I treat them more like

solar hawk
#

A primer?

bright hill
#

a slightly more detailed skim of the book

bright hill
#

you know when you skim a chapter just to survey its content?

vivid halo
#

getting flashbacks to the time I had to compute a contour integral in C^2 thanks

bright hill
#

and then you go back to actually fill in all the details

#

sortta like that

bright hill
#

during lecture I try to focus more on the intuition and the bigger picture

#

rather than the technical proofs

bright hill
solar hawk
#

I usually just read it from the start

bright hill
#

well, at least you should recognize its usefulness!

bright hill
#

meh

solar hawk
#

I only just started to skim

#

In like

bright hill
#

when I get bored I start skimming

#

ig that counts

solar hawk
#

Ok

#

Wanna vc in a bit

#

Do u know complex analysis

bright hill
#

bro

#

it's 2am

bright hill
#

pretty much no complex analysis at all lmao

#

I know some facts

#

but that's it

solar hawk
bright hill
#

dude

solar hawk
#

Ok fine*

ocean harbor
coarse bridge
bright hill
#

windows goes randomly +-1 h my actual time

coarse bridge
#

LMAO

latent edge
#

@jaunty ibex @opal isle
I'm not getting this job bleakkekw

solid snow
#

why even make a distinction for minimum and preferred lmao

jaunty ibex
#

LMFAO

#

ignore and move on

latent edge
#

idk I guess it's because some of these are affiliated or something

#

could be a nepotism thing

jaunty ibex
#

This is so funny

coarse bridge
light steeple
latent edge
light steeple
#

rip

#

knowledge and expertise are much more important but a lot of places care more about a name on your resumé

latent edge
#

worst part is the bro from waterloo isn't even doing cs or something adjacent to it

#

not even math

jaunty ibex
#

oh wtf

light steeple
#

It's crazy that they value a name more than actual understanding of the subject lol

visual breach
#

Having to spend hours for each course is so bleak

light steeple
#

I feel that 😔

visual breach
#

Wish I could understand everything in class right away

light steeple
#

I want to telepathically learn mathematics lmao

latent edge
visual breach
#

Oh? What is it about

latent edge
#

it is a proof by contradiction but it's really wrong

#

like you only disproved one case

#

good luck disproving the other 7! - 1 cases now

visual breach
#

Other cases are left as an exercise to the reader™️

light steeple
latent edge
#

job hunting is cursed

light steeple
latent edge
#

key part is never giving up and stay motivated

visual breach
#

Jobs are like that yeah

light steeple
jaunty ibex
#

Deltoid have u read Maynard's papers

latent edge
#

yes one of them

visual breach
#

Actually do the employers even understand fraction of the material themselves thinkies
(Well anyway)

latent edge
#

Maynard's papers are cursed in general

light steeple
#

Let's hear them explain set theory lol

dapper badge
#

Bourgain math

latent edge
#

psychology

jaunty ibex
#

LMFAO IM ROLLING RN WTF

light steeple
#

They hired a psychology student for a programming position?

latent edge
#

yes

light steeple
#

Key business descision right there

latent edge
#

HR told me they are very good and they know a lot of shit so I got sus about it and looked what bro did

#

literally nothing

visual breach
#

Damn

light steeple
#

they can't fire him because they're on copium

#

Coping with the fact they hired someone with no experience

latent edge
#

I remember having another interview (which again I got rejected in) and there were peeps from waterloo and they had like 10 positions that they got accepted in meanwhile people at my uni be mass applying to heree, europe or even to a janitor job and still get rejected

#

totally a different world

light steeple
#

lmao

visual breach
#

Name value is insane yeah

#

People just not bothering to check details out, so lazy

light steeple
#

p2w irl fr

jaunty ibex
#

btw deltoid

#

I don't blame u

#

cuz i got this job by being a waterloo student then dropping out

light steeple
#

The fact you have to do more than just be educated/experienced in a field to get a job is honestly insane

visual breach
#

,w university of waterloo

visual breach
#

Ah, so it is basically one of the most prestigious uni in Canada.
Name value bleakkekw

light steeple
#

Harvard equivalent, I assume?

jaunty ibex
#

My friend from waterloo dropped out as well after getting a job

#

I referred some other student there as well and convinced them to drop out

latent edge
#

fun fact I applied there and got accepted but I rejected their offer

jaunty ibex
#

yeah u told me about this

jaunty ibex
#

@latent edge do u recommend reading Maynard's papers

latent edge
#

I mean by all means yeah if you are interested

#

they will just be cursed to look at

#

that was my experience at least

#

really hard to find someone who reads Maynard's papers and get help from there

#

at least with langlands and alg geo I can just ping ng