serious-discussion

[rocky shuttle]

varsigma

[vernal token]

What's your pfp Zan?

[rocky shuttle]

An album cover from my favorite Japanese singer

[vernal token]

Ah I thought it was from some anime

[rocky shuttle]

Nah

[neat lintel]

My pfp is a pic I found on pinterest😭 🖐️

[rocky shuttle]

Would you prefer an upright e, too, for Euler's number?

[vernal token]

Hmm, I think yes, but for e nobody does that and it's not that noticeable

$e$ vs $\operatorname e$

[fathom swallow]

Kepe

[vernal token]

nvm the left looks better

[rocky shuttle]

yeah, it looks better, but an upright e feels more consistent to me

same with an upright i for the imaginary unit

[vernal token]

[5e + e^{e^x} - \frac{1}{e^2}] [5\operatorname e + \operatorname e^{\operatorname e^x} - \frac{1}{\operatorname e^2}]

[fathom swallow]

Kepe

[vernal token]

In linear algebra, for some reason some people bolden the x

$A \mathbf x = 0$

[fathom swallow]

Kepe

[rocky shuttle]

to differentiate vectors and scalars, that's common

[vernal token]

Oh, so bold denotes vectors

[rocky shuttle]

and matrices, yes

just like how physicists use the arrow notation

[vernal token]

That's what we use in high school too (even in the maths Leistungskurs - not just physics)

[random olive]

hey

uhm has anyone here whent to ncssm?

i want to get in but need to know like what clubs and competitions that i sorta need to do to get in

[neat lintel]

wot is ncssm?

[random olive]

north carolina school of science and mathematics

its a stem high school thats founded by the state

[neat lintel]

okie

[fresh comet]

What is everyone's favourite non-math hobby?

for me, it's got to be going out for night walks

[deep mango]

Hmmmm probably rock climbing

[deep mango]

Ok other stuff

[vast wraith]

i did that a lot some years ago, was lovely

[deep mango]

Hiking, cooking and food in general, exploring new music, social strategy competition shows (big brother and survivor mostly), sudoku variants, crosswords, fiction reading (mostly mystery / sci fi / hard fantasy)

Hmmmmmmm what else

Still sort of origami but a lot less so

I love my plants but they arent really a hobby

Puzzle games and pure platformers

Picking up hobbies

[pulsar finch]

cooking and walking

reading

meditating, and breathing exercises

I would say music but I know very little music theory

[vast wraith]

i play my lute

recently i've also spent some time sketching with my pastels

and look at vast museum collection digitalizations

so many random things

(Loica apparently means logic in some 15th century italian language)

[pulsar finch]

I also wanna do hiking but idk how to get started

[steel vessel]

local community group?

maybe

[covert oracle]

Invited to a math Olympiad workshop and i need to do stuff on combi

What's appropriate for eight graders?

I was thinking of adding in bijections and pie along with the staple add-mult principle

I won't be handling pnc sadly so I'm limited to these

Then again, i don't want to overestimate their capacities

[pulsar finch]

Amc8 level?

Or above amc12

[pulsar finch]

I will look into it, thanks clau

[covert oracle]

Damn

Uhh

Let's say

If we have four stages

It's the first stage of selection

[pulsar finch]

#math-pedagogy maybe

Unsure

[cinder zephyr]

Chess currently (I'm very bad)

And watching racing (takes up so much of my weekend)

[dapper badge]

I like to lift and rock climb and play guitar

[cinder zephyr]

Oh and coffee (used to run a coffee club at UIUC, may start one at OSU)

[gusty socket]

math pedagogy is not for people who want to learn math

it's to share perspectives on teaching

[pulsar finch]

Then again, i don't want to overestimate their capacities

[gusty socket]

oh shit i talked in discussion

[fresh comet]

@coarse bridge you won

[gusty socket]

@coarse bridge accident

competition is still on double/nothing

[gusty socket]

ahah okay i see. notable fact about me, I can't read

oh yeah okay reading it now it's totally the right channel

SORRY

[coarse bridge]

LMAO

[coarse bridge]

https://tenor.com/view/thumbs-up-like-love-it-like-it-i-like-it-gif-12824486525144508799

[uneven tinsel]

[bleak wigeon]

playing the piano, coffee, cooking, walking, playing tennis, playing video games (need to get back intot his), hanging out with friends :)

[uneven tinsel]

I want to go back to playing microwave oven

[visual breach]

I am staring at
[ f(x) = \alpha x + \beta \implies \alpha (b - a) = f(b) - f(a) ]

[fathom swallow]

Absta

[visual breach]

This should be related with the FTC, which is a basis of Stokes' theorem.

But I am somehow missing essence of this..

[cold needle]

?

[raven plaza]

As in f(b) - f(a) = ∫[a,b]α?

[visual breach]

Indeed, yes.

I think this lies on the 'local' picture.

[pulsar finch]

ftc is a basis to stoke ?

[visual breach]

I mean Stokes' theorem is basically generalized FTC, proven using FTC.

[wraith rivet]

can you tell me the relevance of \ in latex?

[static loom]

there are special words that you can put after it that get turned into symbols

[wraith rivet]

oh so its validates keywords as symbols rather than text?

[uneven tinsel]

Just use it why worry so much

[wraith rivet]

i dont even know the begin command 😭

[static loom]

you might want to try #latex-help and #latex-testing and experiment around a bit to learn, I think that's what those are for

[sly jungle]

Is it possible to do complex analysis after Spivak Calculus and Apostol MVC (but not having done any real analysis) esp if it is something like Churchill/Brown which doesn't look very proof-y at first glance, but I can't tell for sure.

[raven plaza]

You don't really need a lot of real analysis theorems since all holomorphic functions are analytic

The deepest result is probably just uniform convergence on compact domain preserves integral

[sly jungle]

Cool, I'm gonna try and see if I get tripped up somewhere... i wanna get to analytic NT and maybe fourier analysis as fast as possible (maybe after churchill/brown) and feel like I could skip real analysis atm...

[raven plaza]

Ofc you should also be familiar with the basic concepts of real analysis

But there aren't many pathologies to worry about

[hearty pond]

PLZ ANSWER IT:(

[old oak]

She did, and it's an entirely correct answer

[sly jungle]

I'm comfortable with some of the basic analysis stuff in Spivak, no topology tho, but maybe can wing it...

[raven plaza]

If you've already done mvc you prolly don't have to worry about topology

Open sets on C are just open sets on R²

[fervent flame]

:3

[sly jungle]

Apostol mvc yeah, which didn't have much on topology - although I read one very basic topology section in Shifrin mvc. I didn't think it was much either.

[neat lintel]

walks, reading, and bookbinding

[charred burrow]

calligraphy, watercolor, reading novels

[gritty crater]

Sleep

[sonic frost]

Play with friends video games

[rocky shuttle]

tabletop / video games, music, watching series / movies

[neat lintel]

Pixel art!

[rocky shuttle]

Do you want to share some?

[wild inlet]

hey guyz new here

[neat lintel]

Yeah, let me fetch some of my old ones

#chill message

My newer works were done on aseprite

[sonic sentinel]

i have cross ventilation in my apartment cause of two windows, so the fans should be pointed in the same direction as the wind, right?

[carmine dirge]

hola

[sonic sentinel]

helo

[carmine dirge]

who is this?

you just like a gamer

a gamer who win the round every time

[uneven tinsel]

Sometimes a single quote can change your life

Like for me

"Every integer greater than 2 can be factorized into prime numbers."

[sonic sentinel]

2 has a prime number factorization too

[surreal bison]

well firstly you forgot k3

it's a very important vitamin

just don't ask your doctors about it

[north topaz]

every even natural number greater than 2 is the sum of two prime numbers

[latent edge]

Easy

[ocean harbor]

https://cdn.discordapp.com/emojis/1112022027847606383.gif?size=48&quality=lossless&name=catcombing

[neat lintel]

how you know you are getting good at math?
(but not how you know after 5 years, by saying I know more than yesterday)
but , how you really know you are going in the right direction?
or what is a good direction to follow?
(rather than just going to university and doing whatever they ask you to do)

[solid snow]

ease in learning new math

you can be let loose, i.e you can figure out omitted steps in proofs, etc.

recognizing common proof techniques and being able to apply them

[neat lintel]

like when your mind goes fast?
(I have seen that in some math olympiad contestants)

[solid snow]

not necessarily fast

[neat lintel]

so basically that point when you see some math , and your intuition is so developed you understand exactly what's going on?

[solid snow]

that is too generous, but you generally just have more tools to use and different perspectives with more experience

someone once gave an example in this server of grad students being to easily give topological arguments vs undergrads struggling in that regard a bit more

[neat lintel]

but can you give a personal example?
so, not trying to really tell what is actually being good at math and so on
but how you realized you got better

[solid snow]

hard to say really

its all so gradual and incremental across so many different facets that it’s hard to point to a specific moment that i “leveled up”

[neat lintel]

oh , : (

[solid snow]

perhaps when i realized i was grappling with the topics themselves instead of struggling to figure out what counted as a proof?

idk

this wasn’t a discrete moment in time either

[neat lintel]

I am asking because recently , after years , of maybe not sucking at math, but not being good enough I had a little (like an episilon) improvement, so , I wonder if there is another way I hasnt realized which is probably obvious for someone who already had it

[solid snow]

what math are you currently doing?

[neat lintel]

real analysis

(beginning with)

[solid snow]

well to be fair this is only the beginning of your math journey

[neat lintel]

yeah

exactly

[solid snow]

just give it time

[neat lintel]

what about math olympiad?

[solid snow]

what about it 🤔

[neat lintel]

isn't that sometimes easier and then harder?

[solid snow]

no idea

[rocky shuttle]

the difficulty does not increase monotonically

[solid snow]

the math done in math comps is not really reflective of mathematics

[neat lintel]

why not?

[solid snow]

it just is not

[neat lintel]

tell me why please

[solid snow]

math comp is like toy problems

[neat lintel]

hard toy problems

[solid snow]

but still toy problems

[neat lintel]

btw, what things are you learning then , which are not "toy"

[solid snow]

well you yourself mentioned real analysis

[rocky shuttle]

FLT is a toy problem

[neat lintel]

(I was trying to say: if you said I am in the beginning of "math", then what comes after (not about which topics come after, but what is the difference in skill ) since that's what I was asking for in my first question on top)

[rocky shuttle]

You have more tools at hand, more knowledge about the connections between different topics

I wouldn't say that your mind will "go faster"

Or maybe this is just a me issue

[neat lintel]

if you know how it goes, can you give something for having brain pain?
(but please not something like , try to separate one big cube in two little cubes)

[solid snow]

brain pain?

[rocky shuttle]

wha?

[neat lintel]

something to get better (whatever it means, but I am assuming (as an axiom) ) and supposedly you know , because you already got better at least once

which probably will cause me tears

[solid snow]

there is no quick fix

its just doing more math

[neat lintel]

and its not morally correct to advice , but anyways

[neat lintel]

that's exactly what I am asking
which math you recommend?

I dont want something quick

[solid snow]

if yoire studying real analysis, study that

then study linear algebra, topology, abstract algebra

this is just the usual coverage

complex analysis if you fancy

[neat lintel]

nice, I fear not finding hard enough problems

[solid snow]

this will not be the case

[neat lintel]

or , reading a book that says "this thing is beyond the scope of this course"

and dont give any reference on how finding explanation

[solid snow]

usually just google it

but trust the author most of the time if they say that

more annoying is the point where authors begin referencing proofs found in other books

[neat lintel]

so 99% trusting the proccess you say

[solid snow]

pretty much

[neat lintel]

this proof can be found in the monograph works of author X, done in 1898 ...

[rocky shuttle]

circular references

[neat lintel]

which has no translation

[solid snow]

this is the nightmare

[neat lintel]

so I am going to trust, I think

but still in fear

it feels like it can't be so straight

so thanks, I guess

[abstract ore]

writing, drawing, learning stuff that isnt maths, not writing in this server, etc

i recently learned how to make balloon doggies

[uneven tinsel]

Million dollar statement

[south kelp]

I played Runescape 24/7 not even joking

I stopped once I started going there tho

[dry atlas]

Gunsmithing or coding

[latent edge]

https://tenor.com/view/anime-smoke-aesthetic-gif-23632610

I won't elaborate further.

[limpid abyss]

what?

[limpid abyss]

rock climbing!

[ionic star]

your hobby is online teasing

[surreal sapphire]

the best hobby is trekking because it is what i do

[exotic monolith]

hi

[uneven tinsel]

My hobby is 💰💰💰💰

[uneven tinsel]

Hello

[indigo wind]

Guys, can anyone help me with Rotational Symmetry Grade 7
if you can help, please DM me (Direct Message)
I have an exam coming up and I am still struggling with it

[quasi jetty]

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

[patent bone]

yoo

soul king is back to take everyone soul

hlo

[sonic sentinel]

where do these "steam gift card" scams keep coming from

like i understand hacks that work by making you stuff on discord to get your discord account

[old oak]

From scammers

[sonic sentinel]

but how does the scam perpetuate itself if its a steam gift card scam

[raven plaza]

They don't need to spread itself, they can just be bot accounts

Alternatively they hack a bunch of discord accounts then post steam gift card scams

[sonic sentinel]

the two cases where i saw it happen were both legit accounts of classmates

how do you just "hack a bunch of discord accounts" tho

[raven plaza]

Using discord nitro gift cards

[brittle socket]

I never encountered a steam gift card scam

But I also don't use my steam often

[jagged forge]

acquire a list of passwords and emails from the dark web
see if they work for discord
???
profit

[sonic sentinel]

like if it was a two-phase scam (first discord then steam) it would be weird that i only saw the second phase of it and never saw or heard about the first

[raven plaza]

They grow the computer virus on the nitro dish for a day then sneak it into the discord gift cards

[sonic sentinel]

google bioterrorism

[raven plaza]

Google is a terrorist indeed

[sonic sentinel]

they use discord's hyperlink feature so it looks like its actually taking you to the site. e.g. link below takes you to wikipedia
www.google.com

www.google.com

^one way to identify it is that discord seems to not blue-text any link unless it begins with http:// or https://

[brittle socket]

I see

[uneven tinsel]

Unfortunately || I don't have anything to say||

[jagged forge]

that has been evident from your last 100 messages

[neat lintel]

the only things i have to say are my projects

[uneven tinsel]

[stone saffron]

[patent bone]

hlo

want some tea

[vast wraith]

yes plz

[vast wraith]

soooo

turns out oxford philosopher-logician michael dummett had also stumbled upon this very card somehow... and wrote two books on the history of games played with tarot cards

this is definitely going on my literature wish list mwahaha

[neat lintel]

wait a min thats a fallacy.... no. like some prime no. themselves arent sum of exactly two primes

and eg. like 4

...if u are allowing repetition of same prime no. then 4 is a sum of primes

but a no. like 3 isnt a sum of two primes

but a no. like 11

its not a sum of two primes

[solid snow]

probably why they said every even number

regardless, this is an open problem

[north topaz]

yeah the joke was that it seems true but no one can prove it

[north topaz]

exactly cause one of the numbers would have to be even, and the only even prime is 2

[uneven tinsel]

It's a conjecture also read the statement carefully my friend

[dry quartz]

I need some weird help

What I wanna ask is, polar coordinates is subtopic of what

For eg integrals are subtopic of calculus

[dry quartz]

Similarly....(?)

[lavish kayak]

I just watch tv

I wish I'd have a hobby but I just collapse to it

Sometimes I read, that's a hobby

Well it's actually quite interesting how the process of watching tv have become less shallow for me over the years

Im more aware of the subtexts, maturing mind

[cerulean summit]

Hi guys, I am an undergrad in math, and I would love learning a new Asian language out of curiosity. I am Italian, and I am quite comfortable with English. What do you suggest learning among Japanese, Chinese and Korean? I already know some Japanese because I used to study it, but now I forgot almost everything. I know nothing about Chinese and Korean, except some basic knowledge about how the language "works". If you have any experience, what would you suggest? Thanks in advance!

[raven plaza]

Cantonese

It's the best language for swearing

[cerulean summit]

i was about to say that... i know it's pretty difficult

[main elbow]

coordinate geometry

[dry quartz]

Know a decent book which covers it?

Thank u sir

[main elbow]

no clue sorry

[dry quartz]

Well that's enough help

Wish u good day

[main elbow]

and you !

you can have a look/ask in #book-recommendations

[vast surge]

Well now we need some swear words.

[ocean harbor]

who the hell pinged me and then deleted the ping

stop it already

[runic jasper]

which channel do i use to make a math related thread

[raven plaza]

!help

[quasi jetty]

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

[raven plaza]

X @@?! !!! 😣

[ocean harbor]

hey man ive already warned you for not doing this and you've done it twice

I do know who you are but if you have done this for the third time im gonna end this and move on

I have summer school so nope

hbu

nice

this feels so amazing

I got vacations next month

idk then what else it could be lmao

thats not answer

ye can't have some fun? :c

ofc! ill :3

https://cdn.discordapp.com/emojis/1112022027847606383.gif?size=48&quality=lossless&name=catcombing

I already finished hs but still doing my last credit

and its the worst

you see...

yeah i get it

same lol

I can be often here when i randomly get pinged

[sonic sentinel]

my swimming trunk is so low quality i hurt my dick in it somehow

[ocean harbor]

bai

just chilling rn

https://media.discordapp.net/attachments/952271935620915225/1208218967047671818/1207362145948409906.gif

[small dust]

:lmaodance:

[indigo wind]

hii

[indigo wind]

Can anyone help me with constructing shapes with accurate angles. Secondary school math. If you can help, please DM me

[river kelp]

i have

a complicated question not about math

so im just gonna ask it here

lets say we have a string composed of an even amount of numbers

and the numbers can be numbers 0-3

and we can query other sequences of numbers

and it will generate a response

the first half of the response is based off adding the individual digits of the first half of the query/key, the odd quarters of the key, and every odd indexed number

then bitwise XORing the results of each

and the second half is the same thing but with the back half, and odd quarters/odd indexed numbers

so if you were to query the key response with the key response, it would return all 0's

an image would really help

but basicallt

https://cdn.discordapp.com/attachments/842476963004416010/1260792640476020746/Screenshot_2024-07-10_at_9.59.46_PM.png?ex=66909c25&is=668f4aa5&hm=ddaa7c95689bd77fd59776faef9b7e65bba094caef525a406a16bf55d9b45a31&

(ignore the spaces between the key sequence and query sequence, they are just there to help me write it)

so the question is

are there other sequences that return all 0's?

[static loom]

Can you give a program that does all this

it'd be easier to understand and read that way imo

[river kelp]

i dont know how to write code

this is for a video game

[static loom]

the image made it more confusing to me lol

[river kelp]

ill highlight where the numbers are taken from

[static loom]

can you work out a specific example

[river kelp]

that was the worked out example

[static loom]

your annotations are too terse if that's what that is

I don't know what that image is trying to show

[river kelp]

120302012201 Key
120302 120302012201
123012 120302012201
100020 120302012201

[static loom]

stop right there

what is the first line saying

[river kelp]

thats just the key sequence

its the one that never changes

its what you are trying to find out through querying

[static loom]

so those 3 lines after it where you bolded stuff is doing what

some kind of querying

[river kelp]

the first line takes the first half

the second line is taking every odd indexed quarter

the third line is taking every odd indexed number

[static loom]

what's a quarter

[river kelp]

like a quarter of the number string

the first three numbers, 120, is 3/12ths of the number string, or 1/4th

[static loom]

which number string

where is 120 coming from, the first 3 digits of 120302?

[river kelp]

yes

the key number string is where all the numbers i just mentioned are coming from

[static loom]

it looks like a half not a quarter

[river kelp]

no

its taking every odd indexed quarter

not just one

thats where 012 comes from

because its the 3rd quarter

[static loom]

the total number of bolded digits is a half

[river kelp]

yes

[static loom]

but I see how you're breaking it apart into different pieces

[river kelp]

which comes from every odd indexed quarter

[static loom]

As indexed sections:
1,2 you take 1
1,2,3,4 you take 1,3
1,2,3,4,5,6,7,8 you take 1,3,5,7

only the second one is broken into quarters

the first and last aren't

[river kelp]

yes

the first one is broken into halves, the second one is broken into quarters, the last one is broken into eighths

could i move on to sum 1

[static loom]

no I've lost interest sorry

[river kelp]

bruh

ok i think i found out how it can be worked logically

if the first half of the key is correct, the first and last 3 digits of the response sequence will return 0s

maybe it has something to do with hamming code

the hamming code kinda inspired me to make this mastermind game variant

[indigo wind]

bro wat the hell in hell in the hells of hell of many hell are u talking abt???

[uneven tinsel]

Mathellmatics

[rocky shuttle]

Mayoi Hell

[trail birch]

hello .

my name basil .

[jagged forge]

you really dont need to crosspost for that

[neat lintel]

sully that people

[north topaz]

hi Matt, are you a mattematician

[jagged forge]

the answer to this question is im-matt-erial

[north topaz]

cool

[ocean harbor]

you also got sully ahahah

[neat lintel]

ikr

[ocean harbor]

https://media.discordapp.net/attachments/1182503419529941164/1226585413011902655/1218065854873341962.gif

[north topaz]

I sullied the word 'that'

which appears in your message

[stone saffron]

[old oak]

Also it should be "that person", not "that people"; very bad grammar

[burnt ledge]

no no hes addressing "people"

its only missing a comma which can be often elided in instant messaging

[old oak]

In which case there should be a comma before "people"; still bad grammar.

[burnt ledge]

Sniped

Delete your Message Now

[old oak]

My point is valid and I will stand by it.

Something something, eats, shoots and leaves

Also I did get that "people" was meant in the vocative there; I'm not stupid, just unhelpful

[burnt ledge]

i know i know

U r just messing around

a panda and a crazed murderer walk into a bar

he eats shoots and leaves

[old oak]

I was citing the version of the joke that's here https://www.amazon.com/Eats-Shoots-Leaves-Lynne-Truss/dp/0007329067

Also a fun little book

[burnt ledge]

i just made it up on the spot

[old oak]

I am very proud of you 🐼

[uneven tinsel]

[solar brook]

So idek how to do basic math such as division and my times tables. I know how to do adding and subtracting but I'm sure I wouldn't be very good at it.

tbh I have no idea where to even start learning. I have a math book for middleschoolers right next to me but I have no idea what it's talking about. 💀 I just ordered some flashcards so maybe that'll help. I'm just tryna learn basic math so I can go into adulthood more prepared.

[reef geode]

are there any good software options for latex

im looking at buying an overlead subscription because they just make it east

but i wann evaluate other options too

[rose dock]

overleaf is free?

[reef geode]

but I want the github integrations

and stuff

and also some beamer things max out on compilation time

and student subscription is 9 dolar a month

[wheat raft]

hi

[rose dock]

does your university not provide the premium for free?

[reef geode]

no

a couple profs have petitoned for it but it has been shot down

[rose dock]

I would say if you don't plan to collaborate, just use LaTeX locally (your preferred LaTeX distro + VS Code + LaTeX workshop extension works pretty well)

[pastel current]

How about texmacs?

[reef geode]

havent heard of this ext lemme look'

[verbal karma]

you can also write things in markdown and convert that to latex.

[snow mulch]

#math-discussion message hi

[cerulean harbor]

2^2^(e^(pi*sqrt(2*log2(x)/3))/(2*log2(x)*sqrt(3))+2)=10^10^3660+1

[cinder zephyr]

Khan Academy

https://www.khanacademy.org/

this would be the ideal place to start

[neat lintel]

Hi, I dont know if this is common, but after studying some pure math and getting used to logical rigour , I am finding hard to study normal physics, for example , they take integrals or derivatives of every "formula" or function, but they never give a context (and almost never say what set they are working on, i guess real numbers)
or for example, they "prove" some theorems, just by joining 2 principles or discovered phenomena (formulas).
so there is a solution?
like some mathematical physics book you recommend?
or just getting used to assume things like physicist do?

[solar brook]

Bet thanks

[cinder zephyr]

And then if you need more help, #❓how-to-get-help

[neat lintel]

If I hate myself, how's that homo

[reef geode]

It's homophobic because ur gay

[flat harbor]

takes some time for ppl to get it

[pulsar finch]

what would be the quickest way of developing math maturity? solving many exercises? or

[gusty socket]

solving exercises that are easy, solving exercises that are hard, solving exercises that are medium difficulty

(this doesn't count as me talking in discussion because I thought it was math-discussion)

[ocean harbor]

@hasty peak literally your favorite emoji

[hasty peak]

😹

[pulsar finch]

how to explain fourth dimension to third dimensional beings?

sorry if it’s already asked before

[ocean harbor]

https://media.discordapp.net/attachments/1182503419529941164/1226585413011902655/1218065854873341962.gif

[neat lintel]

watch a video about it

[pulsar finch]

there was one from one kid with crazy hairstyle and baggy eyes but I didnt understand

can you explain it in a nutshell?

[open falcon]

halp;-;

[uneven tinsel]

Help

[fresh comet]

How is everyone's day going?

[brittle socket]

Higher?

[fresh comet]

yes?

[brittle socket]

Bleaker?

[verbal karma]

911, what is your emergency?

[fresh comet]

what?

[brittle socket]

[fresh comet]

what?

I can't ask questions anymore?

are we gatekeeping

[uneven tinsel]

Hello white cat just sending random message

[teal violet]

what

[alpine kindle]

4 coordinates instead of 3

[flat harbor]

new direction

[brittle socket]

> Bleaker
>

I was replying to your question

🗿

[chilly maple]

hi

[violet mason]

HELLO!!!

[brittle socket]

Higher is a goober

[rocky shuttle]

how to explain infinite dimensions to finite-dimensional beings?

[old oak]

Usually during a course in linear algebra.

Functional analysis at the latest since it's not really interesting in finite dimension.

[rocky shuttle]

what about zero dimension to infinite-dimensional beings?

[old oak]

That's just the Cantor set

[neat lintel]

matters are best settled with 🌿

[brittle socket]

[rocky shuttle]

https://tenor.com/view/eating-grass-mickey-mouse-funhouse-elds-deer-grazing-disney-junior-gif-25889847

true

[brittle socket]

Oh deer

[rocky shuttle]

Oh tasty bweakfast

[brittle socket]

Hi Insider

[neat lintel]

https://tenor.com/view/deer-stories-hunting-one-down-gif-13487192

dang it

[ocean harbor]

https://media.discordapp.net/attachments/1182503419529941164/1226585413011902655/1218065854873341962.gif

when no image/gif perms

[vernal token]

I don't think my linear algebra lecture notes really explain it

Well anyways I'm at 31. and I need to read until 38. + do the exercise sheet until sunday, I think I'll have to skip to 38. right away

Reading around 26 pages is probably not reasonable in less than 2 days

[rocky shuttle]

Do you mind sending me your LA lecture notes?

[vernal token]

One sec

[vernal token]

https://pnp.mathematik.uni-stuttgart.de/idsr/idsr1/geckmf/SkriptLAAG2.pdf

[rocky shuttle]

Danke!

[vernal token]

I feel like it's very Bourbaki-style

Though maybe it's not, just feels a bit that way

[rocky shuttle]

Have you read Bourbaki?

[vernal token]

No, I just know Bourbaki style means rigorous definition - theorem - proof style

[north topaz]

wait are you still doing your undergrad?

or are you in grad school already

[fresh comet]

Kepe is a high schooler

though I believe taking courses at a uni?

or has he begun uni by now

either high schooler or very early into uni

[north topaz]

jesus

[lapis hull]

I'm a high schooler

As in I'm in school

And I'm high

[rocky shuttle]

high slurper

[vernal token]

Yeah, high schooler taking courses at uni

[vernal token]

On a good day I think I could do 10 pages but yeah, everything above that is unreasonable if you aim for a thorough understanding

[gritty crater]

Hi Zanarcane

[rocky shuttle]

Hi Closer

[gritty crater]

I saw you have a post-grad role. Are you a PhD student? If you don't mind me asking 🧐

[rocky shuttle]

Yes, I am

[vernal token]

What area do you specialize in?

[rocky shuttle]

Numerical analysis

[gritty crater]

Oh. That field deals with approximating methods right

[rocky shuttle]

Yeah, more specifically, I deal with numerical shape optimization methods constrained by partial differential equations

That reaction should've been

[gritty crater]

I don't know anything about this but I saw PDE so

[rocky shuttle]

PDEs

[vernal token]

When do you encounter PDEs at German unis? I think ODEs are part of analysis 1 or 2 somewhere along the line, do you do any of them in analysis 3?

[rocky shuttle]

3rd year in my uni

[vernal token]

.. that's 6th semester

Pretty late

[rocky shuttle]

5th semester

(and it's only an introduction)

[vernal token]

Are there some pre-reqs that only come up late or why can't you e.g. take it in your third semester?

You'll have Analysis 1, 2 covered and taking Analysis 3

[rocky shuttle]

It's best to take ODEs first, which is offered in 2nd year

[vernal token]

It's not part of the analysis series?

[rocky shuttle]

Not here

[vernal token]

ok

[rocky shuttle]

You'd encounter them earlier when you have physics as your minor though

[rose dock]

fwiw there is not much ODE required for say, Evans' book on PDE

[rose dock]

PDE theory requires a stronger background in analysis, which is probably why it is so late

[rocky shuttle]

sure but some ODE background might be beneficial (e.g., for first-order PDEs)

[rose dock]

yeah at least existence and uniqueness

[open seal]

Hello, i have a fairly unconventional math issue and i wanted to ask before taking a help channel, is there help available for math in programming here?

im writing in c++, and i'm having a camera rotation math issue

[north topaz]

good luck with your Abitur btw

~~you'll ace it ~~

I mean at least for maths right

[vernal token]

Thanks! 😄

[vernal token]

Are you also German?

[north topaz]

no I've just heard about it

there's a Swiss-German school in my country

[fresh comet]

always has been

[latent edge]

Algebra when linear algebra is not involved:

[rose dock]

that's why ppl invented representations

[latent edge]

so real

[cinder zephyr]

Name a single algebra that isn't linear

You can't

[latent edge]

Everything is linear if you are brave enough

If doesn't work then just go the rep theory route

[uneven tinsel]

[loud bear]

There's some one that is contributing on Julia Lang project? Cause i want to bring part to the projects but i don't really know how to enter in contact with the other contributor

[fresh comet]

I think you did a while ago

but idr now

[covert oracle]

Any grad student in the chat?

😭

@opal isle naw man

You have Hom in ur name

I need some help

Is it wise to not do a minor project?

And instead do courses

Okies

[vernal token]

@winter hinge

how much time every day do you spend on this, btw

[winter hinge]

damn, summoning me in the discussion channels

[vernal token]

Depends on what I have to do that week; for example this week I only spent a few hours on monday and tuesday on reading, not doing exercises, because I'll have a physics presentation next week, a math competition and an exam

Usually I do all the exercises on saturday

[winter hinge]

when does german school year start also btw?

[vernal token]

7th september

summer holidays start on 25 july

[winter hinge]

so you just have 1.5 months of summer vacation
Not very long

[vernal token]

Yeah

[vernal token]

And probably the oral exam somewhere during them in september

[winter hinge]

before the 7th

rude

[vernal token]

Idk, I can maybe postpone it until later but then next year I'll have analysis courses and at hs I'll have the Abitur (~finishing exam phase)

[elfin osprey]

Hi i asked yesterday about universities and colleges math subjects, can i get sources and a list again of what they teach in universities and colleges. Also in different countries version

[winter hinge]

this isn't your final year of HS?

[vernal token]

No, I'm in 11th grade

[winter hinge]

very ahead on the math syllabus then

damn

[vernal token]

Are you a grad student already? I think a while ago you said you were almost done with your BSc but I might be thinking of somebody else

[winter hinge]

well I'm finishing my 3rd year here yeah
next year I'll start grad school

[vernal token]

That's cool, do you already know what you want to specialize in?

[winter hinge]

changes role to pending postgraduate

[winter hinge]

either TCS or AI/ML

[vernal token]

Oh, so you don't go into pure math

[winter hinge]

no, I was double majoring this year, transitioning into CS
next year will be my 2nd year as a CS major and I'll be start a CS master's

[vernal token]

There is somebody on this server that I think took a similar route

Uhh who was it

[winter hinge]

lots of people do math -> CS

[vernal token]

Megumi

[winter hinge]

didn't wanna name him, but that's who I had in mind as well

takodoro

[vernal token]

Yeah

[winter hinge]

he left the server
how dare he

[vernal token]

[winter hinge]

he had some interesting things to say, especially in #advanced-lounge

[hollow siren]

What math should I look into if I want to figure out the rate of growth between two companies while adjusting for the difference if

• Company A starts with $0
• Company B starts with $10K

This is to see which two similar companies can produce the most each quarter.

[cedar walrus]

depends how accurate you want your model to be

could be as simple as y=ax+b

couls be as complex as pdes

[hollow siren]

Ty! I'll look into linear equation and pdes (no idea what that is if calculus). Seems I might have to learn more than middle school math.

I only need to make sure going from $0 to $1 is +100% but adjusted to ensure the rate of change is fair given not all companies start at $0.

Because going from $10000 to $20000 (+100%) revenue is more difficult than from $0 to $1 given both companies sell the same product.

[cedar walrus]

if your math level is at middle school, linear equations are probably a good starting point.

it's also worth looking at piecewise functions, exponential growth, and some polynomials

however, calculus is probably going to end up being important of you're looking at rates of change

[cedar walrus]

which quotation ?

status or bio

[cedar walrus]

damn message deleter

[uneven tinsel]

[gritty crater]

I thought you were talking alone 😂

[cedar walrus]

😔 😔

someone asked if my profile quote was nsfw

(fyi it isnt)

[uneven tinsel]

Now delete your message closer I will also delete

[neat lintel]

yo why did you friend request me

WAIT WAS THAT YOU

idk

[mellow elm]

Hi all not a math question but I need help finding a good dry erase marker set for whiteboard briefs. I really liked the quartet enduraglide set but I need a vibrant yellow as well and the 12 pack is lacking that. I need Gray, Yellow, Orange, Red, Blue, Green, Purple, Pink and Black I cannot for the life of me find a brand that makes all these colors

I've been searching for 2 1/2 hours now lol

https://www.amazon.com/ARTEZA-Markers-Assorted-Low-Odor-Whiteboard/dp/B07H39FDJT?th=1

ooh just found these. has anyone tried this brand before?

[uneven tinsel]

It was not me I swear to Math

[neat lintel]

idek who it was ngl

[uneven tinsel]

Okay I am going to trust you

[cinder zephyr]

never heard of those but I can tell you these are by far the best dry erase markers I've used

[mellow elm]

Those were my first choice actually but they didnt have yellow 😦

[cinder zephyr]

yellow doesn't show well on a whiteboard though?

[mellow elm]

sometimes it does. its rare though

[cinder zephyr]

interesting

[mellow elm]

i do briefings and we need yellow to show unkown platforms

its one of the more uncommon ones but its still needed unfortunately

[cinder zephyr]

Damn 😔

[mellow elm]

yeah its pretty rough lol. i figured the mathematics discord would have the marker gurus

[cinder zephyr]

Nah it's all chalk around here

[mellow elm]

really? haha

[cinder zephyr]

Chalk is what most math people prefer yea

Most profs seem to have a board or two in their office on the walls

[mellow elm]

i wish we had blackboards honestly

[cinder zephyr]

They're great

I mean whiteboards aren't bad

But I'll take chalk any day

Get some nice hagaromo chalk and a good eraser and you're in business

[mellow elm]

whats that japanese chalk everyone raves about?

yeah!

hagaromo

[cinder zephyr]

The grad school I visited (and am now going to) gave everyone a set of hagaromo colored chalk

They knew their audience

[mellow elm]

its kinda funny when you know a lot about something like chalk or markers

and everyone is using crap then they use your stuff

and the look on their faces

every time. it makes my day lol

[cinder zephyr]

Yes there's a reason I carry my own set of dry erase markers

Since for my undergrad TA work all the office hours rooms were whiteboard only (CS department)

And the markers that get used by the general population suck because they press too hard or they don't cap them or whatever

So I carry and use my own markers and they're so so much nicer

[mellow elm]

https://m.media-amazon.com/images/I/71FFMfxW7uL.jpg this review this guy left is the reason im about to try these markers

[cinder zephyr]

gawddamn

Which markers

The ones you sent above?

[mellow elm]

https://www.amazon.com/gp/product/B07H39FDJT/ref=ewc_pr_img_1?smid=ATVPDKIKX0DER&th=1

yeah these ones

that board brief is kind of similar to the ones i do

[cinder zephyr]

How do you have 12 colors and 52 markers

What's the allocation of the 4 other markers

[mellow elm]

its got 5 sets of the primaries and 4 of the other colors

[cinder zephyr]

Ah

[mellow elm]

yeah splitting it 4 ways with my buddies in my office lol

im not really used to chisel tips but i am willing to learn if these colors pop like this dude's picture

that yellow is actually amazing

https://m.media-amazon.com/images/I/71SDHC1bHWL.jpg

this one is even better

[patent bone]

yo

[uneven tinsel]

Yo

[static loom]

sup

[uneven tinsel]

Finally a good topic in discussion 2

[trail birch]

who ping me .

[rocky shuttle]

https://tenor.com/view/omori-basil-omori-headspace-gif-171268494395723325

[static loom]

https://tenor.com/view/ketchup-arma3-reply-meme-gif-25309288

[gritty crater]

I thought math sever was going to be dead. But how come it is more active than lots lots of server out there

It is fun to see a lot of math enthusiast here

[surreal sapphire]

lots of dedicated members who kept the server alive

[eternal crow]

When did u think of this

[gritty crater]

My perspective has changed now

[eternal crow]

But when

Oh i was assuming it was actually inactive that it made u think it'll die

[fresh comet]

if the server is dead, then I am no longer on this planet

[rocky shuttle]

https://tenor.com/view/haii-hai-cat-cat-face-colon-three-gif-7065253899130675783

[fresh comet]

https://tenor.com/view/haii-hai-cat-cat-face-colon-three-gif-7065253899130675783

[gritty crater]

Maybe because people around me didn't appreciate math that much so I thought that not many people liked math. Just some random thought that maybe there would be a math server on discord and then I discovered this server 😂

[fresh comet]

we're glad you're here now

[gritty crater]

[gritty crater]

Hi

[rocky shuttle]

Hi Closer

[fresh comet]

hi Closer

[rocky shuttle]

closer and higher

[fresh comet]

[gritty crater]

[dense wraith]

Higher and closer, nice

Oh wait I didn’t notice zan’s message

[fresh comet]

anyways, hi vio!

[dense wraith]

Hi gher!

[rocky shuttle]

pronouns T/Teppa

[gritty crater]

That actually makes sense

[fresh comet]

it's a common greeting I get on this server

higher, hi gher, etc

[rocky shuttle]

,iamnot ing

[fathom swallow]

2 roles found matching ing!

1.   studying!
2.   Role that does nothing```
Please type the number corresponding to your selection, or type `c` now to cancel.

[gritty crater]

I'mma copy this

[fresh comet]

me!

I am not ING!

[fathom swallow]

No selfroles matching ing.
See ,selfroles --list for the list of valid selfroles.

Jul 13, 2024, 3:07 PM

[eternal crow]

Oh you mean a math server in general

[gritty crater]

What does "role that does nothing" do

[rocky shuttle]

nothing

[fresh comet]

so true

[static loom]

everything

[gritty crater]

Yeah. I misunderstood you

[gritty crater]

[rocky shuttle]

literally

[patent bone]

https://tenor.com/view/yes-happy-new-year-gif-24516985

[lavish knoll]

hey guyzz

[patent bone]

hlo

[uneven tinsel]

Hlo

[gritty crater]

So "role that does nothing" literally does nothing. Why does it exist then

For color?

[rocky shuttle]

Because it's not the role that does not exist

[neat lintel]

because for role collectors

[gritty crater]

Makes sense

[rocky shuttle]

It had some purpose a long time ago iirc but not anymore

Like for testing purposes

[vocal vessel]

It is a colored role that lets you disguise yourself as a non-helpful person if you get the helper role but don’t want to be green.

Or don’t want people realizing you are a helper

[old oak]

Not everything has to have a purpose

[gritty crater]

I thought everything had to have a purpose, tho 🧐

[old oak]

Opinion seems divided

[gritty crater]

Yeah. But I understand your meaning 😂

[uneven tinsel]

So you are a helper?

[vocal vessel]

Nope

[uneven tinsel]

Who are you then

[vocal vessel]

Spawn of Satan.

[old oak]

Spawn of Stan

[uneven tinsel]

I see that's nice role

[vocal vessel]

https://tenor.com/view/eminem-stan-gif-25903522

[uneven tinsel]

[frozen cedar]

-4+4b => b = -1 or 1?

[uneven tinsel]

None of them

[eternal crow]

You mean…

,, -4+4b=0\
-4+4b+4=0+4\
-\cancel{4}+4b+\cancel{4}=0+4\
4b=4\
4b\cdot \frac{1}{4}=4\cdot \frac{1}{4}\
\cancel{4}b\cdot \cancel{\frac{1}{4}}=\cancel{4}\cdot \cancel{\frac{1}{4}}\
b=1

[fathom swallow]

רי-ית

[eternal crow]

?

[frozen cedar]

yeah

but i rather used $4/4 = 1$

[ripe tangle]

$\documentclass{article}
\usepackage{amsmath}
\usepackage{amssymb}

\begin{document}

Show that (\int_{-\infty}^{\infty} e^{-x^2} , dx = \sqrt{\pi})

[
\left( \int_{-\infty}^{\infty} e^{-x^2} , dx \right)^2 = \int_{-\infty}^{\infty} e^{-x^2} , dx \cdot \int_{-\infty}^{\infty} e^{-x^2} , dx = \int_{-\infty}^{\infty} \int_{-\infty}^{\infty} e^{-x^2} e^{-y^2} , dy , dx
]

[
= \int_{-\infty}^{\infty} \int_{-\infty}^{\infty} e^{-(x^2 + y^2)} , dy , dx
]

Change to polar coordinates: (x = r \cos \theta, y = r \sin \theta)

Jacobian of polar transformation:

[
\frac{\partial(x, y)}{\partial(r, \theta)} = \begin{vmatrix}
\frac{\partial x}{\partial r} & \frac{\partial x}{\partial \theta} \
\frac{\partial y}{\partial r} & \frac{\partial y}{\partial \theta}
\end{vmatrix} = \begin{vmatrix}
\cos \theta & -r \sin \theta \
\sin \theta & r \cos \theta
\end{vmatrix} = r (\cos^2 \theta + \sin^2 \theta) = r
]

[
= \int_{0}^{2\pi} \int_{0}^{\infty} e^{-r^2} \cdot r , dr , d\theta = \int_{0}^{2\pi} \left( \int_{0}^{\infty} r e^{-r^2} , dr \right) d\theta
]

Let (u = r^2), (du = 2r , dr), (\frac{1}{2} du = r , dr):

[
= \int_{0}^{2\pi} \left( \int_{0}^{\infty} e^{-u} \cdot \frac{1}{2} , du \right) d\theta = \int_{0}^{2\pi} \frac{1}{2} \left( \int_{0}^{\infty} e^{-u} , du \right) d\theta
]

[
= \int_{0}^{2\pi} \frac{1}{2} [ -e^{-u} ]{0}^{\infty} , d\theta = \int{0}^{2\pi} \frac{1}{2} [ 0 - (-1) ] , d\theta = \int_{0}^{2\pi} \frac{1}{2} , d\theta = \frac{1}{2} \int_{0}^{2\pi} , d\theta = \frac{1}{2} \cdot 2\pi = \pi
]

Thus,

[
\left( \int_{-\infty}^{\infty} e^{-x^2} , dx \right)^2 = \pi \implies \int_{-\infty}^{\infty} e^{-x^2} , dx = \sqrt{\pi}
]

\end{document}$

[fathom swallow]

riad
Compile Error! Click the reaction for more information.
(You may edit your message to recompile.)

[ripe tangle]

Can someone gimme a nice integral like this

[ripe tangle]

Lovely

I’ll give it a go

[tender burrow]

Please i need someone to tutor me for linear algebra, i can pay if needed

[flat cloud]

should I take some introductory physics classes to compliment my math skills?

im taking calculus next semester and topics like vectors and magnitudes come up often when talking about derivatives

ive also read that calculus was created for physics basically

[solid snow]

only if youre interested in physics

[solid snow]

neither of these are physics concepts

[dense plover]

Is the server bout general maths or further pure maths? Both?

[gusty socket]

both

[dense plover]

W

[uneven tinsel]

[brittle socket]

Mfw no access

[storm sage]

I meant @polar panther

fixed

[fringe summit]

I should read enough to submit reviews frfr

[latent edge]

[uneven tinsel]

[storm sage]

@brittle socket I'm taking one neuroscience class next semester

My knowledge of biology could be significantly improved

[latent edge]

why are you interested in neuroscience Eric?

[storm sage]

Well there's the sort of practical reason, which is that more knowledge of the brain could save lives in future medicine, but also the brain is intellectually interesting, being the medium through which we experience the world, think, communicate with others, and so on, and there's a lot of interesting mathematics that underlies it.

[latent edge]

Is the class you are taking math based?

[storm sage]

No, it's a neuroscience class

I'm also taking 2 math classes next semester and running a reading group on dynamical systems though

[latent edge]

I see I think I liked all of my cell bio/cancer bio classes

The ones I took as electives

I learned a lot from them

The neuroscience ones were kinda meh and I saw a trend of people taking it online mostly so that they can go home and just cheat from top to bottom

[storm sage]

Oh wild, is there no lab section?

[latent edge]

there is yeah

the mathematics behind cell biology is really cool

[storm sage]

I'm planning on taking a neuroscience class in the spring which is much more memorization-based, so there will prob be some amount of cheating in the class but idrc, I think learning the content in that class will just be helpful for me

[latent edge]

(plot twist analytic number theory in mentioned)

[storm sage]

It'll probably be me and everyone else being a first-year

[storm sage]

Oh, how so?

[latent edge]

it's more on the micro level tho

Like DNA formation

it's kinda a mix of knot theory and number theory together

[fresh comet]

@steel vessel neurosci mentioned

[steel vessel]

neuroscience mentioned

[latent edge]

Production time of some amino acids turned out to be behaving like a divisor function or something

i don't really recall the details

[storm sage]

Ooh interesting

[storm sage]

yeah I haven't gotten into that

rn I'm more interested in neural dynamics

but maybe someday I'll look at smaller stuff

[latent edge]

i wanna study more DNA and cell bio ngl

[storm sage]

that sounds fun!

yeah idk, the more I hear people talk about super abstract math, the more I'm like I'm glad I'm doing something that feels more practical

[latent edge]

I might take an acting class. I regret taking an English class last semester

[storm sage]

(it's pretty far from concrete applications still, I think, but it's at least something I can explain to the average person, and why they should care about it)

[storm sage]

oooh sounds fun!

[visual breach]

You do PDE stuff?

[storm sage]

I do neuroscience

Haven't done anything PDE-related yet

[latent edge]

I barely remember PDE

[storm sage]

I've been interested recently in evolution of cooperative strategies though

[visual breach]

Ah, idk why I thoight you do math

[storm sage]

I think if you added some sort of spatial component to that

[visual breach]

Ohh it sounds good

[storm sage]

With different populations using different strategies

It could make for an interest problem in the intersection of PDEs and game theory

I found one paper on this which I haven't read yet

[latent edge]

Some prof mentioned they do research in DNA decomposition and neural networks so I hit them up with an email

still no response

I talked about knot theory a lot in the email

[storm sage]

It's called "Evolutionary games and spatial chaos", published in Nature

Apparently if you take the prisoner's dilemma game from game theory and add a spatial dimension, you can get these cool patterns

[latent edge]

chaotic

i started to think maybe nobody wants to hire any UG for research

but I talked with someone that graduated from my uni like 10 years ago and they did a lot of stuff during UG

now students are barely getting a TA position

[visual breach]

The kind of stuff Richard Dawkins are interested in

..idk if good or bad

[storm sage]

I mean, he did respectable work as a scientist, regardless of his public life, didn't he? I don't actually know that much about his work

[storm sage]

Yeah this makes sense; usually it's difficult for math undergraduates to get into pure math research

[visual breach]

Yeah, (I like to believe) he did

[jaunty ibex]

I think I'm in love with asymptotic analysis

[quick beacon]

@mortal vortex

So I have put only a little bit of thought into the matter.

[mortal vortex]

[quick beacon]

Like, basic inputs, outputs, history, and so on.

The problem is, because there are so many different things to input, it's a little bit difficult to find a good input representation

Generally, you'd use a 1-hot, but there are 1000+ pokemon, and several are more or less similar so should be treated similarly. So maybe a vector embedding representation should be used instead

[mortal vortex]

Yes there are 1000+ mons, but what makes it worse is that there are different sets/move combinations that showdown could pick from

[quick beacon]

But then you need to learn the embeddings, and how do you pick dimensionality for that. Then also abilities, items, move sets, and so on.

[mortal vortex]

Assuming we are just letting the bot run rampant in random battles

[quick beacon]

That's the idea, yeah

[mortal vortex]

Custom made teams are a whole other story

Dont even wanna think about that

[quick beacon]

Yeah, I don't know how on earth you would leverage the already trained network to generate teams

[mortal vortex]

Returning to randoms
Lets assume each pokemon has ~3 or 4 different sets
You could initially give each one an equal probability and then over the course of the game have the probability update until one set is the most likely

And then operate off of that

[quick beacon]

Yeah, you can have the NN predict unknown things, like hidden opponent mons (did the opponent give a tell? What does team composition normally dictate), unknown held items, unknown moves, and so on.

And give rewards based on the distribution for that.

There's also like, the information that showdown directly gives you?

Which you can use as a prior/input

[mortal vortex]

This would be my initial logic starting with the first mon sent out:
Equal probabilities of all possible sets -> assign weights to each of the possible things the opponent could do -> alter probabilities off of chosen option -> repeat

Like the opponent switches from a mon that loses to a mon that beats you

Or they hit you with a super effective move

So typing would also have to be considered in the function

[quick beacon]

Oh, speaking of, yes, the AI needs to be a mixed strategy opponent.

Because there are a lot of cases where you try to read the opponent to counter, and if the bot can be manipulated, then it can be defeated.

[mortal vortex]

True

[quick beacon]

Which means essentially, the output needs to be a softmax of different possible actions, and then randomly chosen from the softmax.

[mortal vortex]

Okay then boom
Have the strategy change based on the opponent’s team

Which we already have a good idea of the team based on the prior function (assuming enough turns have passed)

The strategy function sounds like a nightmare since there’s arguably even more to consider

Your moves and mons, the opponents moves and mons, the current state of the game (health, status, etc.) any crits, weather, terrain, on and on

[quick beacon]

Anyway, I think I'll need to actually get elbows deep into this if I want to talk reasonably about it past this point. There are a few implementation details that I wanted to think about in the training loop. Like resuming games from a particular place in the middle with a different seed, and trying to gather statistics like that, because when you have a single measurement, the training target is noisy. Also reinforcement learning in the Alpha Go style is typically done through a Monte Carlo tree search, but doing a pokemon tree search sounds frankly daunting.

But until this is implemented, these are just ideas that might or might not even be valuable

[mortal vortex]

Wouldn’t the tree have to be different for each game?
Barring the initial like 2 or so layers

[quick beacon]

The idea behind a tree search is you're simulating possible future actions.

[mortal vortex]

Ahhhh

Fair enough

So you wanna look ahead at the possible game states

[quick beacon]

And pokemon is a very probabilistic game, so the tree also has several versions of random events, not just player choices.

[mortal vortex]

Why not reference the damage calculator to do so?

That would help

[quick beacon]

And now it becomes a question of when do you sample a new state vs resample an older one to get a new random roll

[quick beacon]

Honestly, the plan always was to run showdown locally for training

https://github.com/smogon/pokemon-showdown

I'd need to hook into the sim library to do this, but hopefully it shouldn't require too much hacking

[mortal vortex]

Ah
Never knew you could have it locally

[quick beacon]

But, it looks like I'd need to implement changes to the engine so that I can take states and roll the battle forwards or backwards.

[mortal vortex]

Wait why?
Couldn’t you just start the softmax algorithm at the start?

[quick beacon]

For the tree search

[mortal vortex]

The main routes would be you switch, opponent switches, you use a move, opponent uses a move

Then you can mess w/ and update the logic from there

And see how far you could push it before the computer starts crying

[winged kestrel]

Very easy 🙃

[mortal vortex]

Though from my experience, 2-4 turns ahead would be ideal

Since most games end within like 20-30 turns

[quick beacon]

Well, the idea is that the battle state contains things like: how many turns left of light screen, currently fainted pokemon, known and unknown information about the opponent (which we're not allowed to import back from the future), weather, status effects, etc

So when we read one turn into the future, any (all) of these can change, and then we would want to evaluate and choose a move again for us and the opponent, and so on.

[mortal vortex]

Ahhhh okay, I follow

[quick beacon]

Then from this we have a new idea of the state we could be in after that move

Which we can use as part of the MCTS to update our idea of which moves are best, and what our current probability of winning is.

Oh right about the known and unknown information, essentially, in order to properly blind the network to hidden information from the engine, we would need to actually inject and change the values of the opponent's pokemon, etc. like if there's a pokemon who is actually Zoroark in disguise or something, and we leak information that confirms this, then we know too much if don't mess with the engine's values. This means we have to consider the possibility that any pokemon not yet proven not to be a Zoroark is a Zoroark with some small chance, and we need to poke that into our tree search, along with all of the possibilities for unknown moves, and so on.

Yeah, I'm beginning to remember why I shelved this project lol

[north ferry]

🦾

[uneven tinsel]

No problem

[hollow lotus]

Can someone pro at R help me

[neat lintel]

any great maths professor for learning math in absolute depth on YouTube
Learning complex numbers
And i am fundamental questions like why to define imaginary numbers
Why can't √(-1) simply not exist

What's the use of defining it since √(-1) can never encounter in real life

[short shard]

Complex numbers are better behaved than the reals in many ways.

• they describe rotations in 2D nicely. Multiplication by complex numbers amounts to scaling and rotation in a very well behaved way

• C is the algebraic closure of R. What this means is that every polynomial of degree n with coefficients in C has exactly n roots (up to multiplicity). For example while f(x)=x^2+1 can't be factored any further in the reals it can be factored as (x-i)(x+i) over the complex numbers. There are many areas of math like algebraic geometry where algebraic closure is very useful and you'll almost never consider fields like R

• one reason why students tend to prefer complex analysis over real analysis is because it has way less exceptions to worry about. For example every once differentiable function is infinitely differentiable which isn't the case in real analysis

• sometimes you can't solve a problem in the field/ring you're working in so you add the imaginary unit, solve it there and go back. For example you may not be able to solve an integral over the reals so you lift it to a line integral over the complex plane, get a result there and turn it into a result over R

But you lose field ordering

[short shard]

Oh and also it's not like mathematicians do math because it's useful

Just in this case it is

[brittle socket]

What a gigachad

[spiral pagoda]

can I ask for excel help here? if so where?

[uneven tinsel]

Here #excel-in-excel

[spiral pagoda]

don't have access to that channel it seems

[uneven tinsel]

Ask here

[spiral pagoda]

can't send images here

[north topaz]

send in #chill

[spiral pagoda]

done ty

[neat lintel]

Oh damn
I didn't knew!
I was took the word imaginary numbers too seriously

I thought it's literally imaginary

[short shard]

Yeah that's a bad name for it

When they were first invented people didn't know how useful they'd turn out to be

Because if you think about it all numbers are imaginary. It's not like they exist in the real world

[neat lintel]

What's the use of complex planes btw
I mean literally all things except black holes can be described in 3d space

What was even the need of complex planes

[short shard]

We still use the real plane even though everything we see is 3d

And also the complex numbers are only 2d as a vector space over R. They're one dimensional over themselves

[stuck token]

The complex plane is just a way of visualising complex numbers

you can kind of just pretend it's the 2d real plane if you wanted

[short shard]

Yeah exactly

[solid snow]

Not really

[short shard]

The intuitive meaning of dimension (which isn't mathematically correct) is how many parameters we need to describe something. And that can vary widely

[lavish axle]

hey can anyone clear my doubt?

anyone indian?

[stuck token]

also yea this isn't necessarily true, a lot of the time mathematicians use something called minkowski space to model spacetime

which is 4d

where we say time is the 4th dimension with x,y,z being what you'd expect

and I'm not an expert but I think in mathematical physics they kind of just go wild with whatever they want to describe the universe

physicists saying something is 3d is different from when mathematicians say something exists in 3 dimensions

although I think it is true that experimentally we've not found any evidence that there are more than 3 dimensions

[rocky shuttle]

curled up dimensions in physics

[short shard]

Adding this there are many different ways to define dimension in math

[stuck token]

Or rather something that would have to exist in more than 3

[short shard]

Wait what when did I get the role that does nothing

[rocky shuttle]

Lmao

[short shard]

Epic