serious-discussion

[brittle socket]

Git gud then

[slow arch]

This is right?

ln(4e^x) = x + xln(4)

or

am i dumb

is it just x + ln(4)

[brittle socket]

Wrong channel.

If you don't wanna read, don't expect others to want to help

[slow arch]

Wow, you hate marginalized people that much?

[brittle socket]

???

[slow arch]

Not everyone grew up in a community that afforded them the privilege of an education

[brittle socket]

Uh you're clearly able to read my messages so I don't see why you wouldn't be able to read #❓how-to-get-help

Seems slightly contradictory?

Im simply requesting for you to ask for help in the appropriate channels

[slow arch]

Kinda crazy you write all these words but a simple Yes or No is above your pay grade

Nah brother

[serene oxide]

hello there

whats goin on

[slow arch]

I used those "appropriate" channels.
My question from 10 years ago is still yet to be answered

[brittle socket]

Im not trying to encourage people to ask for help in the wrong channel

[slow arch]

literally just a simple Yes or No question

showed all the work and the work was correct

10 years later and no one has replied "yes" yet

kinda sad

[slow arch]

Hello

[brittle socket]

People help out of their kindness and time. If you do not receive help, then, I don't think there's a much better way to put it than the fact that it is what it is sometimes. The last time I used a help channel I waited 5 days and I did not once advertise my help channel. Im

[slow arch]

I'm sorry that happened to you

People are so evil

[brittle socket]

Bruh

[slow arch]

https://www.youtube.com/watch?v=VvKbiMvzaeA

[brittle socket]

People are not entitled to help you, you realise that right

[slow arch]

I know

[serene oxide]

um

[slow arch]

It is a privileged to help me

[serene oxide]

im just goin to

back outa this one

[brittle socket]

Can someone pin this LMFAO

Sounds like such a classsic discussy moment

Yeah at this point i don't think this conversation is productive

So imma head out

[serene oxide]

wait

can i listen

to someone

[slow arch]

Cya later. I hope you grow out of your hate for marginalized people

[serene oxide]

about anything

[slow arch]

My wife left me

She took the kids

And I

[serene oxide]

how unfortunate

[slow arch]

I just don't know what to do anymore

I got nothing 😦

All i had was brenda and the kids

now they're all gone

Its all gone

Everything is gone

[serene oxide]

i will listen to your troubles

what had happened

[slow arch]

I don't even know

Everything was perfect

We've been together since highschool

20 years of lovely marriage

then everything just changed

[serene oxide]

soo you are around 38

[slow arch]

I don't know why but one day she just changed you know?

[serene oxide]

or above

[slow arch]

I'm 2000 years old

[serene oxide]

how um

strange

alr

um

[slow arch]

It is not strange

[serene oxide]

yes not at all

[slow arch]

Have you read the bible?

Everyone lived for thousands of years

[cold needle]

please Stop

[neat lintel]

Physics is just as important as maths

[serene oxide]

hello again

[serene oxide]

could i listen to a topic you enjoy

[halcyon lichen]

bruh tf is going on here

[cold needle]

i muted for stuff from prior so i apologize if i interrupted a convo

[serene oxide]

metalninja

[cold needle]

im not sure what topics you might like that i enjoy

i like minecraft and xenoblade chronicles

[serene oxide]

any i will listen

[cold needle]

wdym by listen

[serene oxide]

any topic you enjoy

i will listen

[cold needle]

i see

i only popped on to check on the channels i am currently grading exams rn

[brittle socket]

Hi metal

[cold needle]

so i can't chat

hello grass

[serene oxide]

i wouldnt if u poked me in the eye

[cold needle]

but goodbye chat

[halcyon lichen]

bruh

[brittle socket]

Bai

[halcyon lichen]

this is the most weirdest convo

[serene oxide]

bye

[halcyon lichen]

but bai

[halcyon lichen]

touch grass

[brittle socket]

Its a discusst convo lol

[serene oxide]

can i listen to anothers interests

[halcyon lichen]

ik but still

very weird

[brittle socket]

Very funny 🗿

[brittle socket]

Sure I can agree with that

[neat lintel]

Why would you use "these people" to refer to physicists then

[brittle socket]

I was directing that towards your comment that "phy superior"

[neat lintel]

I just like using bra ket notation

Was in response to this, that's all

[brittle socket]

Sure but you could have expressed your opinions more nicely

[neat lintel]

...

Their response was literally "what you like is inferior" wuht 😭

[brittle socket]

To be fair your phrasing with "severely annoyed" might have made you seem a certain way I guess

Anyways Im gonna go do stuff now

Why did I even come to discussy

[serene oxide]

may i listen to ones interests

or what you persevere

i will listen

[rocky shuttle]

What are the advantages of antilinearity in the second entry?

[split island]

What about the third

Step out of the bra-ket

Into better notation

[rocky shuttle]

Kuwuby

[rocky shuttle]

Which one are you referring to?

[split island]

I just find the vertical bar weird

So (phi, phi)

[rocky shuttle]

I still prefer angular brackets, though (with comma instead of the vertical bar)

[split island]

Yeah

I'm not chaotic enough to type < , > in text

[fathom swallow]

eigenzan

[rocky shuttle]

But, coming back to antilinearity in the first vs. second argument, I generally agree with the answer in this MSE post: https://math.stackexchange.com/questions/4203532/why-did-mathematicians-choose-the-inner-product-to-be-linear-in-the-first-argume

[split island]

Oh neat, I see what the conversation is about now

I just made a cheap notation joke

[neat lintel]

It is now standard that vectors are identified with column vectors while covectors are identified with row vectors. Thus, the standard inner product on Rn is written in terms of matrix product as x⃗ T⋅y⃗ (and cannot be written as x⃗ ⋅y⃗ T).

Why can't you write an inner product over the reals as x y^T

[rocky shuttle]

x y^T would be a rank-1 matrix, not a scalar

[neat lintel]

I apologise if I sound like a dumbass but what's wrong with that

I understand its relevance on C

But not on R

[tight comet]

Standard inner products are R^1 or C^1

And not $R^{n\times n}$

[fathom swallow]

Watson

[neat lintel]

Huh

Am I being an idiot or something

Oh

[tight comet]

Matrix multiplication

[lofty sequoia]

There is a distinction between $1\times n$ row matrices with real or complex entries and elements of $\mathbb{R}^{n}$ and $\mathbb{C}^{n}$

[tight comet]

dimensions

[fathom swallow]

384920

[neat lintel]

Yes got it

I was being an actual dumbass

Nvm

[lofty sequoia]

It's all good, don't worry about it

[neat lintel]

Yeah I was only thinking of the the conjugation of the vector

Not the fact that it literally produces a 3 by 3 matrix with dependent columns like a moron

[lofty sequoia]

Oh whoops I forgot about this part as well

I was thinking of something like $x^{T}y$ but that's right, you end up with an $n\times n$ matrix instead

[fathom swallow]

384920

[zealous garden]

Yes, the inner product (x^T y) is not the outer product (x y^T)

[alpine comet]

It makes more sense if you see it in the context of tensors

[manic yarrow]

any indians here who got into iit or are prepping for iit?

ping me when replying

[trim stone]

,help

[fathom swallow]

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

[trim stone]

I'm a piece of stinky $Doo^{doo}$.

[fathom swallow]

fwomp

[warped notch]

$1/0=♾$

[pure adder]

who here can help me with some math

[warped notch]

#❓how-to-get-help

[pure adder]

ye i done that but i dont have much time

until my test

[warped notch]

How much time?

$152207*73$

[fathom swallow]

Formula~Nova~12

[pure adder]

then i gotta wake up and go to school to do the test

[warped notch]

Ok

That’s enough time

[pure adder]

so basically i got 2 hours

alr

[warped notch]

That likes less than a minute

[warped notch]

Go to #help-15 and send your message one what you need help on

[polar vale]

Wait, what type of math is this?

[bright hill]

you can afford to spend 10 minutes to figure out how it's done

[warped notch]

Bruh lol

[gilded sluice]

sex cam
lmao

i have one brain cell

serious response though idk what kind of support this discord has for multilingual questions. best i can say is #❓how-to-get-help and help that a multilingual helper will appear

(or google translate)

[solid snow]

<@&268886789983436800>

[tall badge]

already banned but the msgs somehow didnt delete

[verbal spindle]

anyone wanna help me with 4 questions for ap stats ?

[crimson nebula]

Try #❓how-to-get-help or #probability-statistics

[neat lintel]

bro wdf going on here

[bright hill]

@mild hill so anyhow

I don't think I've seen many interested in industrial design around here

you can maybe find communities online where you can ask how much math you need

the best you can find here (most likely) is for someone to direct you to khanacadem.com where you can learn all pre uni mathematics

[mild hill]

eyyoo

thanku

but this is not openning

[bright hill]

what's not openning?

[mild hill]

i guess its .org

not .com

[bright hill]

oh, maybe

sry

[mild hill]

i found it

well i wanna study mathematics

[bright hill]

https://www.khanacademy.org/

[mild hill]

for all over my life

yeah i just found

it

[bright hill]

[bright hill]

sounds like a plan

math is very very interesting

[mild hill]

and the only thing that makes me feel like alive

[bright hill]

and you can certainly spend a lifetime studying it :3

[mild hill]

everything is boring

[mild hill]

thats what im talking about

thanks a lot man !

i appreciate u so mcuh

[gilded sluice]

Idk I think someone said something in French and I didn't realize that was against rules

So I just made fun of the last two words of the sentence coincidentally being sex cam

[neat lintel]

i think he was promoting something

involved with it

[neat lintel]

yeah he was promoting a software named sex cam

[bright hill]

np

[gilded sluice]

LMAO

[neat lintel]

@mild hill dm

Can someone in dms help me it’s not letting me ask a question

[neat lintel]

and he also had the audacity to do it in a maths server lol

[serene oxide]

afternoon

[split pawn]

Actually I need to escape discussy 1

Typical green badgie discussy up there

[slim shale]

Hello again guys

I have question for you

Do you know any app for math

Like

https://play.google.com/store/apps/details?id=com.companyname.MaturaMatematyka

But full free

Or should I use sites on my pc ?

How I need learn math for 6 grade to 9

Because I skip a lot 😭😭😔😞

[neat lintel]

Maybe try Khan academy math

[woven whale]

bro you're part of them

[flat cedar]

I don't want to disturb disc1 so I'll ask here

I have a really weird question that, may or may not relate to math

I have no clue

I am here from a videogame discord, and there's currently a lot of theorizing in the community. I'm researching a recurring type of shape that lends itself to a lot of symbolism but I am not sure where the type of shape is from.

I feel like it's a mathematical shape but I'm not certain, it looks erratic

But somebody else agreed it looked vaguely mathematical

So I was wondering if any here could verify if it is something mathematics related or not

[woven whale]

sure

[flat cedar]

I'll post the images in #chill

[neat lintel]

hi

[plucky oracle]

Why do people show their activity status on discord?

[zealous garden]

Because you need to know how hard I'm grinding

[plucky oracle]

no point

[zealous garden]

You're right, there's no point

So I must grind it into a fine, sharp point

[plucky oracle]

I would understand if you are playing Hogwarts Legacy

to flex

or some other expensive game

[neat lintel]

a friend could join in if you're playing a particular game

like a particular friend of mine would always call me when i'd play any souls like games

[plucky oracle]

What about visual studio or any other programming idle?

[neat lintel]

huh, tbh i have not seen anyone do that

[plucky oracle]

really?

[zealous garden]

So they don't ping you with random BS while you're trying to work

Not sure how effective that would be

[plucky oracle]

Nah I dont think so

[neat lintel]

tbf most of my friends are math people, not cs

[plucky oracle]

there is dont disturb on discord

[neat lintel]

and my cs friends are not people who'd do stuff like that

[plucky oracle]

well not talking about your friends

[zealous garden]

Which does nothing

[plucky oracle]

talking in general

[zealous garden]

I'm constantly on DnD, I still get ping notifs

I also like pings, so I'm not complaining

[plucky oracle]

@zealous garden

[torn willow]

Co op in souls games seems weird

Because I played the only souls game without co op lmao

[plucky oracle]

anyone using linux?

[zealous garden]

I've only played Bloodborne

It's great

[torn willow]

Actually dark souls seems extremely cheesable

[zealous garden]

Me, I daily drive Artix

[torn willow]

Unfortunately it's a PS4 exclusive

[zealous garden]

For now

[torn willow]

So do hardware companies pay reasonably well in the US

Like take ARM or Intel

[solid snow]

Yes

[torn willow]

What about compared to software companies?

[plucky oracle]

whats reasonably well

how much?

[torn willow]

Well I heard software companies pay like 100k USD on average

[neat lintel]

not necessarily co op, we also like to watch each other's gameplays while doing other things on the side

[amber orbit]

lol

[neat lintel]

tfw not enough social interaction to be nitride yet (not gonna ping)

[amber orbit]

chud gayi

[keen jolt]

Hello

[neat lintel]

taking over discussion 2 one person at a time

[cinder zephyr]

they do

alot of my friends are making well over that out of college

hard to get but alot of people do

[young pawn]

Hey

[midnight carbon]

hey

[young pawn]

sup

[serene oxide]

hey yall

[errant ridge]

PS4? is that some kind of projective space?

[serene oxide]

its a game console

[neat lintel]

hello

[sonic gulch]

am=f?

[sonic gulch]

?????????

[proud olive]

vm = p???

[sonic gulch]

p=power m=mass v=velocity then yes

)============(:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::>

^._.^<

[bright hill]

[bright hill]

I can't tell if this a bat

or a face grinning

[deep mango]

Don't post random server links here please

[deep mango]

It's a cat

[compact remnant]

to be honest I haven't touched math in a while, but I have an appreciation for its logic and complexity

[deep mango]

Those are whiskers

It's a cat going 😐

[bright hill]

pardon?

[deep mango]

What

[proud olive]

Close, but mass times velocity isn't power

You usually use an uppercase p for power

[wooden flax]

i have research meeting today

am so screwed

💀

[vernal token]

What are you researching?

[wooden flax]

we'll see

[proud olive]

gl

[wooden flax]

this is the intro meeting for him to decide if he wants me or not

and hes testing me on his paper

and gave me 1 day to prepare

gg

[proud olive]

glgl

[wooden flax]

thx thx

[vernal token]

Oh. Is his research in pure mathematics or something more applied?

[wooden flax]

pure

[vernal token]

Alright

[winged wedge]

guys

is this the first order ?

x^3y'+2x^2y=x^2+2

or second?

[proud olive]

Have you tried reading a book on how to find the order of an ode?

Helped me

[winged wedge]

yes but i dont understand it so well

my guess

is first order

becuase is the highest derivate

but i am not 100% sure

[alpine comet]

lol, fun

what's the topic?

[wooden flax]

im stuck rn

#combinatorial-structures

combo

[alpine comet]

Good luck mate

I'd be dead if I were you

[split pawn]

I see ryc

[wooden flax]

thx

im p fucked though

[neat lintel]

Hello

[sonic gulch]

fish

[wooden flax]

it went well :)

[open aspen]

congrats!!

[wooden flax]

thanks!

looks like ill be doing research

for the first time

[fading zealot]

Going to graduate this summer so downloaded several pdfs of advanced mathematics books using the university resource system
Books of category theory, type theory, computability theory, model theory, abstract information theory and advanced measurement theory are quite hard to come by over here

Don't know if I'll ever get to understand all of them but in termd of getting the resource (legitimately) it's pretty much now or never

[lavish locust]

does anybody have a revision village math AI gold account that I can borrow for some time?

[lavish sundial]

fortnite vs fortnight

who wins

[full vapor]

idk what's fornite?

[neat lintel]

The American spelling of fortnight

[full vapor]

then what's the difference

i would rather prefer fortnight bcz idk what's fortnite

[neat lintel]

[frail lagoon]

Lmao

[full vapor]

lmao

maol

lmao

lmoa

[frozen merlin]

does that generate S_4

[storm sage]

indeed, it has a transposition and a cycle

[frozen merlin]

facts

[void meadow]

Why is this dead which the #discussion is alive

Unfair

What you guys are doing?

[zealous girder]

so like

@flat harbor shhhh

[flat harbor]

we tiptoing

[zealous girder]

we are hiding

[flat harbor]

its ok theyre probably getting all

heated up over there

[zealous girder]

swonky

[flat harbor]

too busy to notice us

swinky

[remote hornet]

did we move here

[zealous girder]

i want to talk about misic

music

wat do u guys think of

break. core

[remote hornet]

marvelous

actually idk what that is

[flat harbor]

i have no idea of all the cores

[regal scaffold]

WHY IS SLOMO BACK IN DISCUSSY 1 UGHHHHHH

[flat harbor]

there was a kerfuffle

[tight comet]

NO WAY THERE'S A DISCUSSY 2?

This needs a 2hr slowmo

[flat harbor]

dont jinx it

[regal scaffold]

oh drama

yeah

they're probs gonna remove it after it calms down

[tight comet]

it's not even calming

wtf

[flat harbor]

old discourse -> new discourse -> old discourse -> new discourse

[torn willow]

And that's what a tranposition is fellas

[fluid jungle]

Lmfao 2 minutes slowmode in the other channel

[woven whale]

@ripe wasp

they want $1k

tf

[candid glacier]

🙂 > 😦

[woven whale]

also they want the email of a school teacher

all of my teachers hate me with a passion

[fluid jungle]

js

[ripe wasp]

ngl u dont even need it

u can get in without it if ur good enough

which u are

[ripe wasp]

yeah...

but it is what it is with summer camps

[woven whale]

yeah I'm not paying that

fuck them

[ripe wasp]

aight

theres like sumac

who want

8k for hatcher chapters 1-2

stanford

💀

[woven whale]

lmao bro 💀

[ripe wasp]

yes

[woven whale]

it's online too

if it were in person, then sure, $1k is "a bit" fair

[fluid jungle]

wait wth

1k for a hs camp?

They legit cost us $5 in middle school, granted it was just a stay at another school

[ripe wasp]

that's how math camps are though

sumac wants 8k ross wants 6k promys wants 6k etc

ofc u can apply for fin aid but idk how that works out

[woven whale]

yeah fuck that

just gonna read books on my own tyvm

[willow moon]

Can we have more talks like #events message ?

They're super cool and I wish they can be like a routine thing or something

Biweekly/monthly perhaps..

Is that already in place?

[woven whale]

who's gonna host them

[willow moon]

idk

people

[woven whale]

what people?

like, if you wanna host a talk, then you can contact the mods

it's not like the mods are actively stopping people from hosting talks

[willow moon]

No I thought the community could host regular talks

not me i dont really have the knowledge yet (which is why i think these talks are so captivating n people can benefit a lot from them)

I think it'd be a cool thing to have it routinely

[willow moon]

No i meant more of an active approach (i.e. scheduled talks, inviting people to talk about certain topics) instead of waiting for a volunteer.

[woven whale]

whom are we gonna invite

[willow moon]

i'm not very well-versed with who's who in the community so I can't really give an answer. I'm sure the mods know better on who's the expert on what. Maybe them

[woven whale]

finding an appropriate topic is also very difficult

[willow moon]

Well I'm sure the details could be figured out later.

again this is just a suggestion

it's not like I already have every little detail in mind

[woven whale]

imo suggestions don't really help if they are not thought out

like I agree that it could be cool to have regular talks

but it's just very hard to make that happen

I could host a talk on newton okounkov bodies in a couple of months but I doubt that anyone would want to hear it

[willow moon]

Well I disagree. Suggestions are starting points and you don't need every single detail thought out, especially if you are not in a place of authority (i.e. being a moderator/admin) or if you don't precisely know the climate/details of the community. I've been in the server for a long time, yes, but I haven't interacted that much with the people here to know who's the expert on what, nor is my knowledge sufficient to distinguish what topics are appropriate for the general audience of this server.

That's why it's an idea

[surreal sapphire]

this requires people to do the talks

we cant really force people to give talks

its one of the long term goals to have a more active talk structure

but its very hard with how most of the users here are highschool students

[vast surge]

I will give a talk once I know enough math to give an interesting talk

[surreal sapphire]

see you tomorrow

[vast surge]

Actually wait I'll give a talk after I graduate from undergrad. That's in like 5 weeks or something.

[surreal sapphire]

but yeah if you have ideas how to get more people to host talks, hit me up lol

in general my reply is "be the change you want to see"

(i do not follow this advice myself)

[willow moon]

I wasn't thinking of 'forcing' them to give talks, more like making a list of upcoming talks with various topics and asking people with knowledge of these topics to give talks (volunteering). However the demographic issue is a valid concern I agree.

[surreal sapphire]

we have no upcoming talks 😭

[willow moon]

Hopefully soon xD (read: a few more years)

[vast surge]

Maybe some kind of a reward system? Like, a special coloured role for people who have given n talks, for some positive integer n?

[woven whale]

what if you're french

[vast surge]

Well I'm not but I don't see what that has to do with this idea either

[woven whale]

0 is positive in french

[vast surge]

I meant, the mods pick some n. I was thinking in the 3-5 range, and the role would be called maybe something like "frequent presenter".

[surreal sapphire]

i dont know if the intersection of people who want colored roles and people who we want to give talks is that big

but its worth considering (at some point...)

[woven whale]

it contains me

[vast surge]

Purple is nitro, blue is active/very active/mod, yellow is honorable, green is helper

Maybe orange or red?

[willow moon]

Pretty good idea actually

[surreal sapphire]

i think we will discuss what color to paint the shack last

[surreal sapphire]

interesting...

[vast surge]

I mean it won't do everything overnight immediately, but I don't see the harm and it provides at least some incentive for people to think about it

Maybe also periodically putting out a call for abstracts

Like, ping @ everyone or @ talks and say, "we're looking for people interested in giving talks please consider giving a talk"

[surreal sapphire]

didnt want to make it sound like im shooting down your idea

its worth considering something like this

though we wont ping everyone

[vast surge]

Too many random highschool students in this server

That makes sense

Maybe @ advanced or @ grad+?

To quality-control

[winter shore]

@ talks sounds cool, like a lecture on certain subjects. And maybe you could give them for all levels (late highschool->college grad).

[remote hornet]

https://tenor.com/view/parrot-rare-bird-animal-camera-gif-3536837

[bright hill]

interesting doesn't mean advanced

[neat lintel]

what are your opinions on watching 5 hour videos on precalculus? (full length)

[woven whale]

brb preparing to give a lecture on graduate algebraic geometry in this server

[winter shore]

🫵

[vast surge]

"interesting" means "something that I don't yet know, but is attainable for me to learn". But that's what it means for everyone, so I guess everything I know is interesting to whoever's going to learn it next.

[bright hill]

you really want everyone to know you're doing graduate algebraic geometry don't you?

[bright hill]

yea, exactly

[surreal sapphire]

you should give a talk on how to compute the ring of integers of quadratic number fields

@woven whale

[vast surge]

Given $\mathbb{Q}[\sqrt{D}]$, what's the modulus of $D$ mod 4? Alright there done that's the whole talk

[bright hill]

so you're not presenting the talk to yourself, but to other people hence interesting is w/e is high in demand

[fathom swallow]

Zorn's Lemon

[vast surge]

Yeah. I'll need to sit down and think about what to present on

Part of the problem is this past year I haven't been doing as much math as I'd've liked because I needed to get other graduation requirements out of the way

[bright hill]

I think I know what I want to present on

I have two topics in mind actually

but I don't wanna say what till I start working on them

I can start tmrw mayhaps

[woven whale]

mean

[leaden torrent]

i considered giving a talk on umineko for april fool's day

but then i realized i had no idea how to make it funny

alas...

[split pawn]

...

[cold needle]

shiver…

i should give a talk on Fourier series to highschoolers who know calc

wait honestly that might not be a bad idea

however i really dont want to try to say thinfs without some linear algebra sadness

maybe i can figure out how to share the idea anyways to hsers

[craggy gust]

does anyone have tips for studying? most of the time when I study math I'm either copying down the entire textbook (notes are a meme at this point) or I just do the entire exercise set in a dedicated notebook. In my other classes I can summarize concepts or rephrase them etc. to ensure I understand the idea, but in my math courses I just read a definition and keep doing problems with it until I've memorized it

[craggy gust]

this server has so many roles and channels. prior to being able to customize channel views I often found myself lost looking for a channel (Ctrl+k saves me for the most part now, but on mobile it'll be scrolling marathon).

[velvet dagger]

What's the shtick exactly? Trying to give some talk to hs calc students... In what setting?/what's the goal?

[cold needle]

the schtick might be like an alternative to taylor series maybe

i could show some examples where its useful in physical settings idk

[velvet dagger]

I mean what's the overarching theme supposed to be

[cold needle]

hmm some vague thoughts might be like decomposing things into pieces and figuring out things from the pieces

[velvet dagger]

Okay let me ask point blank does it have to be Fourier?

[cold needle]

It doesnt need to be no

[velvet dagger]

That's what I mean by theme

Are you advertising math to these guys?

Is there some agenda the teacher inviting is hoping to accomplish

Etc

[cold needle]

o i was thinking about in this server lol not like irl

if it was irl things would be way more difficult to figure out

im not even sure what id do for an irl talk at a ha

hs

Definitely not fourier analysis stuff

[velvet dagger]

Ah you wanna give a talk here

[cold needle]

yahh

i am a little less worried about trying to advertise anything in particular but more so just outlining something that might be cool

and reflects some nice idea in math

[velvet dagger]

Yeah I mean I was thinking if it was to a high school irl and you were advertising why math is cool

[cold needle]

Right

[velvet dagger]

Then that would influence it a bit

[cold needle]

irl that would be a big factor for sure

yes

bc the audience is so different then

[velvet dagger]

And your crowd is, anyone here who's interested and knows calculus

[cold needle]

right

[craggy gust]

the way i was introduced to taylor series in calc 1 was through function approximations. e.g. we saw how to approximate a function with a linear and quadratic approximation and they put it in a neat form so the more clever students would realize it could be generalized

[velvet dagger]

Isn't there a proof using Taylor series that e is irrational, in fact maybe transcendental?

[craggy gust]

they have this at uni for hs stuff if you are interested: https://math.illinois.edu/illinois-geometry-lab/summer-illinois-mathematics-camp

current students can volunteer to teach concepts to interested highschoolers

i forgot what the content can cover each year

[cold needle]

ooh

cool

[craggy gust]

its probably elementary number theory or something

[cold needle]

yeah probably

[craggy gust]

the math department has so many dead links i cant find info

X_X

here are the topics

wait, I can't post images in #serious-discussion anymore?

https://math.illinois.edu/illinois-geometry-lab/summer-illinois-mathematics-camp/jobs

[craggy gust]

Counting Pigeons and Other Problem Solving Techniques (8-10th grade)
Tropical Geometry (8-10th grade)
Making and Breaking Codes: Cryptography (8-10th grade)
Maximize Your Winnings: Using Math to Understand Games (8-10th grade)
Beyond 1,2,3: How Mathematicians Count (8-10th grade)
From Snowflakes to Seashells: Exploring Fractals (10-12th grade)
Number Theory and Cryptology (10-12th grade)
Mathematical Biology (10-12th grade)
When a Straight Line Curves: The Geometries of Space (10-12th grade)

[cold needle]

cool

[craggy gust]

Students will explore questions such as, “What happens when the angles of a triangle no longer sum to 180 degrees?” or “what does it mean to be a straight line?”. Students will imagine living in hyperbolic or spherical space, discovering for themselves the challenges presented by these unfamiliar geometries. By the end of the week, we will understand tilings and students will create their own hyperbolic and spherical art to take home.

this is cool

and yeah one of them is number theory. of course fractals lol

cryptography almost a given too i guess

[boreal jay]

How can a triangle not sum to 180 degrees?

[high prairie]

Is that even possible?

[split pawn]

When it is not a triangle

[surreal sapphire]

it is possible

though not in euclidean geometry

you can just imagine a triangle on earth

the angle sum will be "a bit more"

notice that the straight lines here are great circles

similarly in hyperbolic geometry the angle sum will be "a bit less"

though that is harder to visualize

[split pawn]

yeah that way yepyep

[gusty plume]

H

[frosty kelp]

yo, anyone here who's been trying to apply for a research internship under a prof in math?

[cold remnant]

biggie cheese

[bright hill]

I'm in a bus with a toddler

The driver has been going on a 40 for 15 minutes now

Fucking kill me

[torn willow]

Why does this remind of a horror series

Basically it's about people just driving on and on

And at the end they end up at a creepy random location

And are killed there

[neat lintel]

yes they will be killed soon

[torn willow]

Look up TW(?):||Local 58 on Youtube||

[remote hornet]

hello

[cedar idol]

hi

[cedar idol]

can anyone host a talk?

[cold needle]

i mean mods have to approve it first

so like it would have to be really in good faith and i dont know if we would approve some random person who never talked in the server to give a talk

[surreal sapphire]

https://mathematics.gg/events-guidelines

[cedar idol]

hmm

that makes sense

wait

why can't I add images?

[boreal jay]

that's not a triangle though

[solar hawk]

its a non-Euclidian triangle

i cannot spell tf

[boreal jay]

the lines have to be straight all viewed from the same point

then its a triangle

that is not a triangle

Idk haven't looked into that much

I do algebra more

[surreal sapphire]

they are straight

[surreal sapphire]

^

[tight wasp]

are the help channels restricted to just homework questions?

[deep mango]

No, but questions on ongoing exams are not allowed

[tight wasp]

alright, good to know

[bright hill]

please don't spam in this channel

[obtuse narwhal]

hi

[buoyant oracle]

Hello math nerds

and CS nerds

[stuck shoal]

Also physics?

No?

(And engineers?)

[amber orbit]

lmfao trigger warning for local 58

[neat lintel]

physics nerds are better than CS nerds

[azure shard]

no

CS is the best

in everything

[stuck shoal]

Math best

Dont answer me

(pls)

[cinder zephyr]

I could maybe modify some of the talks I've given for my math + algos club for a math discord talk

[surreal sapphire]

probably, yes

i dont have a good grasp of the audience here

(maybe thats something we should address, figure out who wants talks and on what kind of topics / at what level)

[cinder zephyr]

It'd probably be higher level than what the average talk is for sure

I'd want to add more detail for sure

but the talks I make are targeted at those maybe only now taking discrete math

since that allows me to hit a broader audience (since it's a new club it's quite small)

[solid thistle]

Hello everyone, my name is Tucker and I am a highschool student. I am currently working on a project where I have a brief interview (quick chat over background questions about job and overall satisfaction) with someone working in a career where math is used daily. Whatever the career may be the math used should be algebra II or higher. If anyone is willing to take the time, please shoot me a dm. Thanks!

[tender temple]

Any idea?

Investigate the problem of food waste in school cafeterias and develop a
model to minimize waste while maintaining nutritional standards and stu￾dent satisfaction. Consider factors such as portion sizes, menu variety, food
preferences, and scheduling constrain

[hazy sail]

[grizzled grove]

Maybe if we separate out people according to interest, maturity and then create talks etc....that might work.

[neat lintel]

all of those things change and you can't judge people from first impression

[noble sigil]

ADD ME PLZ 😦 😦

[regal night]

add you where?

[neat lintel]

linux is serisouly good for desktop
at least for me

[inland raft]

Why wouldn't you use windows

[regal night]

I've been using linux for 3 years now : D

[regal night]

Cuz windows is 🤮

[inland raft]

Its not

It's much easier to use

[regal night]

There's a learning curve to everything. Linux is WAY more flexible than windows and you can, in principle, mould it into whtever the hell u desire. With windows, all you get is what they give u.

[torn willow]

Can't you do some shenanigans with windows registry

So it's technically possible to customize Windows, I think

[regal night]

It still wouldn't be anywhere near as flexible as linux tho

[neat lintel]

no, actually i feel like linux is easier to use.

i just can type stuff in my terminal and i get whatever i want

on linux mint that i am using, you can use the software manager

so there's also GUI and stuff in case u don't know how to use the terminal

[surreal sapphire]

linux in general gives you more tools to control your computer

windows has very big issues with like

there are a dozen menus that all do the same thing

and some of them havent been updated since 1995

so finding the correct thing to click is really hard and nobody really knows how it works

linux is pretty simple

and interacting with the terminal is very simple

and if you need help you can just copy paste commands from a help site into terminal

instead of having to read page long instructions on how to navigate obscure menus

[stuck shoal]

Bro wrote an essay damn

[surreal sapphire]

you can but windows registry is so bad; its filled with just random junk and very weird to use

linux's "everything is a text file" is much better

maybe something like a registry is a good idea, if you have very clear guidelines on whats supposed to be in there

but the windows registry is just filled with junk

[bright hill]

Is it?

I do think I'm fairly tech savvy so I might be biased

But, like, i think the biggest advantage windows has is its software packaging is much easier to use

You literally just click next to install most programs

[river moon]

I would say even while being technologically literate I had no clue my linux install had no internet, the GUI was hard to navigate and solutions online had nothing in common with my problem (I was looking for solution as to why I can't install any package)

it was only when I tried to open the browser was when I realized

[neat lintel]

[surreal sapphire]

what

[bright hill]

It varies heavily by distro

[surreal sapphire]

this is literally the worst downside of windows

[bright hill]

I'm talking about ease of use

[surreal sapphire]

you have to first find software (often navigate sketchy websites), uncheck boxes that want to install random toolbars and be careful to not install too much

thats why stuff like ninite exists

additionally the updating of software is horrible

[bright hill]

I found ubuntu's layout pretty intuitive tbh

[surreal sapphire]

you have to update everything individually

on linux machines you just type the equivalent of install software

or click some install button if you have a software center

windows tried to steal this idea with the windows shop

but who uses that?

[surreal sapphire]

any popular linux distro will communicate "no internet" the same way windows does: via a small tray icon

in general linux requires some minimal learning of the terminal and standard shell commands

[neat lintel]

i probably used it 1 time in each installation
to install WSL

[surreal sapphire]

but i dont think this is harder than learning what buttons to press

its just that you probably grew up with windows

[bright hill]

I had to do that to several programs for Ubuntu too

You also have to deal with different packaging methods

Like appimmage

[surreal sapphire]

this is why i use arch

i dunno what kind of obscure programs you install

[river moon]

learning what buttons to press effectively makes windows sound like a good thing after you do that, just learn what buttons to press in order to fix the problem

[bright hill]

Mfw qbittorent is obscure programs

[neat lintel]

arch is really good ngl

except i wish you didn't have to install a new kernel each week

[surreal sapphire]

apt-cache search "qbittorrent"
qbittorrent - bittorrent client based on libtorrent-rasterbar with a Qt5 GUI
qbittorrent-nox - bittorrent client based on libtorrent-rasterbar (without X support)

[bright hill]

Also, most often than not the programs installed by apt are outdated

[surreal sapphire]

thats because ubuntu is "outdated"

this is intended

[neat lintel]

apt sucks

portage and pacman ftw

[bright hill]

Ok then unity-hub

Or wine (I think)

Where you need to add their directories to apt

[surreal sapphire]

wine exists

you dont need to add directories to apt ever

you can always just do manual installations (the same way as on windows) if you care

most people offer .deb by now i think

i wouldnt know

but if the software supports linux at all, you can download it and start some install script

[neat lintel]

or maybe compile it yourself? i sometimes had to do that

[bright hill]

I meant repository mb

[bright hill]

Even the most tech savvy people often have trouble with that, my dude

[surreal sapphire]

oh no

you have to type make install

[neat lintel]

https://rustup.rs/ this is also kinda sketchy

[bright hill]

Loch has never heard of dependency hell

[surreal sapphire]

i have never seen software not being offered already compiled

unless its not offered for windows at all

and then this is a moot point

just list your dependencies

i have deal with worse things

(not being able to figure out what kernel flags have to be set for certain software to work, because nobody except me works with a minimal kernel)

[bright hill]

And then your dependencies interfer with other programs you have already

[surreal sapphire]

this has never happened to me

skill issue

[bright hill]

I once tried to build a fucking video player and one dependency broke libraoffice

[surreal sapphire]

skill issue

[bright hill]

Exactly

[neat lintel]

skill issue

[bright hill]

That's the point

[neat lintel]

stop having skill issue

[surreal sapphire]

i dont think this is valid criticism though

because if you just stick to wtv software is in the official repository

everything will just work

the more valid concern here is that some developers do not support linux (properly)

and only offer windows versions of software

but you cant blame linux for that

this is overall the biggest linux issue because it extends to drivers, which are kinda essential for your computer to function correctly

[bright hill]

I'm not criticizing linux

I'm just saying that the only possible way, in my experience, where Linux can be less easy to use than windows is when installing software

[surreal sapphire]

i just dont think thats true at all lol

your average user just clicks on "software center" or whatever and finds every piece of software they will ever need to install with a single click

and update everything with a single click

and get no unwanted additional shit

[river moon]

speaking of that, ubuntu literally doesn't

if no icon implies no internet connection I'd say this is not at all intuitive

[surreal sapphire]

i dont have a test version of ubuntu with X so i cant refute this rn

[bright hill]

until you realize snap is an absolute shitshow

here

I'll try to update firefox rq

[surreal sapphire]

then why use snap?

[chilly hull]

darq i dont think i can learn the prereqs fast enough tbh

[bright hill]

it's the one installed with ubuntu

[surreal sapphire]

maybe ubuntu is just bad

[bright hill]

ig?

[surreal sapphire]

but whats wrong with apt-get update or wtv

[bright hill]

but that's the most popular distro

[surreal sapphire]

it updates everything, done

maybe you need to update & upgrade

[bright hill]

coz you can't install stuff installed with snap with apt get update

[surreal sapphire]

why do you need to install stuff with snap

i dont have this on my ubuntu machines

[bright hill]

it's ubuntu's shop

or its backend ig

the shop is the GUI

an experienced friend of mine straight up just told me to avoid using snap

coz it'll mess up your system?

but some programs are only installable using snap

like firefox

or maybe not firefox?

I dunno, I just remember one that I could only install using snap and that it was super poplar

[surreal sapphire]

firefox can be installed via apt

[tight comet]

https://www.reddit.com/r/firefox/comments/d0pxy3/how_long_does_it_take_you_to_compile_from_scratch/
compiling FF takes ~ 1 hour, if you can afford the time to leave your computer

(assuming apt fails)

[vivid halo]

chrome is good if you have ridiculous amounts of RAM

[surreal sapphire]

never use chrome

if you need chrome apps, use chromium

[tight comet]

chromium takes eons to compile

[vivid halo]

yeah that too

[surreal sapphire]

why would you compile it yourself

[tight comet]

but binaries are quite readily provided afaik for both ff/chromium

[surreal sapphire]

stop being a nerd

you dont compile chrome for your windows machine either

[vivid halo]

tfw need 32gb of RAM to enjoy chrome with more than 3 tabs open

[tight comet]

I would try if msys2 wasn't annoying

[chilly hull]

damn how do i prove A -> (A^t)^-1 is an automorphism of GLn(R)

i HATE algebra proofs

[surreal sapphire]

rare ng dan

[bright hill]

oh, nvm, I was thinking of vlc and I was wrong

[bright hill]

tis ok cat bread

no pressure what so ever

[chilly hull]

artin just HAD to throw a matrix transpose

into the question

[bright hill]

you just prove it's inverse exists and is also a homomorphism

(dude, I haven't written nor uttered homomorphisms in months)

(good.)

[bright hill]

and ofc that the map itself is a homomorphism

in this case it's particularly easy coz you only have to do one of those 3 steps

do you see why?

[chilly hull]

i dont see why you only need just 1

[bright hill]

yea, my mistake

I thought the inverse of the map was itself mb

[chilly hull]

i can see that there has to be an inverse mapping and why the og map is an homomorphism

[bright hill]

the inverse also needs to be a homomorphism

[chilly hull]

ok nvm this problem is trivial

[woven whale]

real

[bright hill]

real

[vivid halo]

real

[bright hill]

dude, I'm rewatching rezero

and I just recalled why it annoyed me so much

even a fucking land dragon is simping for the protag

I can't believe such a good story is another "watch how this average-NEET-nobody gets a harem"

He's just like you frfr™️

[night thistle]

Poor mistake

Season 2 was such a step down

[bright hill]

nah, I thought it was a step up

I like slow arc that focus on character development in action heavy shows

I just wish not every girl within a mile radius doesn't floober their goober whenever subaru fucking breaths

[candid glacier]

anyone here from

IAL

Mechanics 1

🥺

[chilly hull]

circle

[warped creek]

This one makes sense

Complex numbers of the same magnitude belong to circles (centered at the origin if there’s no translation of the abs value function of course)

[chilly hull]

when will i see abelian groups again

please they were so nice to work with

[vast surge]

They come up frequently but always sort of in the background of other things

[warped creek]

S^1 is a Lie group

You can do it with that photo you sent

[jovial ember]

I relate to this show because every girl within a mile radius floobers their goobers whenever Chmonkey breathes, so if you removed this I wouldn’t be able to relate anymore

[deep mango]

[tall minnow]

if you want to watch realistic stuff where nobody cares about you and you die alone there is anime for that too

[bright hill]

I don't necessarily want something realistic

It just irks me that that was the target demographic

since girls are fawning over me already, I don't have to be sent to another world and be granted divine providence

[chrome marsh]

How was your test, @spare dock?

[zealous garden]

The more I live life, the more I'm convinced this isn't that unrealistic

It seems the largest difference between the people who do and don't form intimate (or not so intimate) relationships is the level of putting yourself out there

[zealous garden]

Holy based

[astral path]

How do I intuitively understand linear algebra? As of now, it seems as though I merely know how to manipulate formalisms and sentences in accordance with some rules so as to prove statements. Is this just an illusory impression? Or is this indicative of an actual issue? And if this is a real issue, then how do I combat this excessive immersion in formalisms, this unfortunate dearth of intuition?

[cyan goblet]

lines and stuff

[cinder zephyr]

linear algebra should be one of the most intuitive subjects out there

so if you're missing out on that intuition, something is going drastically wrong

[slow arch]

Sir, please go to rehab. The amount of copium you are using is unsettling.

[neat lintel]

halo

[spare dock]

It went well 🙂💪 feeling confident with it. Even answered the bonus question. I probably got a few questions wrong but out of the 30 I got the majority correct for sure. Thanks for all the help @chrome marsh! I’ll keep practicing to get even better

lnxe^x was on the test and it was written like this too. How would you interpret it? (I checked to make sure)

ln(x)e^x or ln(xe^x)?

@chrome marsh

[chrome marsh]

$\ln(xe^x)$

[fathom swallow]

SWR

[chrome marsh]

If they omitted parentheses, that is ridiculous.

If you get it wrong, I would argue it

I would only write the former as $e^x\ln x$

[fathom swallow]

SWR

[chrome marsh]

To remove such confusion

[slow arch]

people need to learn how to use parenthesis

Its crazy!

why do people deliberately omit information that makes communicating information clearer and easily understandable

[quasi jetty]

Please read #❓how-to-get-help

[forest vale]

how old are you?

you seem old

nty

nty.

hello

ty mod

[vast surge]

Try to solve different kinds of problems. Instead of just doing the millionth row reduction, play around and see if you can see a difference between row reducing an invertible and a non-invertible matrix, for example. See if you can find, out in the wild, some examples of things that are actually secretly vector spaces (for instance, given a field k, the polynomial ring k[x] is an infinite-dimensional vector space over k). See if you can find some things that are not vector spaces, and identify where they fail to be vector spaces. Find a basis for R as a vector space over Q.

This sort of thing takes time and energy and effort, but it's way more efficient for learning than just doing row reduction after row reduction after row reduction until you've memorized Gauss's algorithm.

[alpine kindle]

that last one is incredibly evil

[vast surge]

Don't listen to ally, try the problems for yourself.

Especially the last one, it's very fun

[amber orbit]

same

[alpine kindle]

I'm not saying it's a bad exercise, I'm just saying it's evil

[vast surge]

I don't like that emoji actually I'm deleting my message

[rapid briar]

What does "invariant mean" mean?

[proud olive]

Constant

Ur welcome

[rapid briar]

I must have missed something in a previous class but one of the theorems states: "There exists an invariant mean on B(Z)"

oh nvm google is op

[vast surge]

What's the context?

[rapid briar]

Oh I got it now, but B(Z) was the banach space of bounded doubly infinite real sequences (w/ sup norm) and mean on B(Z) was defined as the linear function $u:B(Z)\to R$ st $\inf x(Z)\leq u(x) \leq \sup x(Z)$ for all $x\in B(Z)$ and it is invariant if $u(\sigma(x))=u(x)$ where $\sigma$ is shift operator

[fathom swallow]

Evangeline

[rapid briar]

i still don't get the motivation tho

this is from the chapter in the book on compactness

but idk what the point of it is, is it supposed to be obvious

You might need to ask mods for permission to post surveys

[noble sigil]

hey

[cold needle]

Don't post these without our permission

[prime adder]

if a matrix has a det of -1 is it always an involution?

[neat lintel]

#❓how-to-get-help

[astral path]

Thank you for your extended response. I study proof-based linear algebra, and so I have not done a million row reduction exercises yet I will nevertheless try to look into more challenging problems such as the ones you have mentioned.

[fathom tide]

From cave drawings to photos, pictures can often say more than words alone. This is one reason why people use emojis. Emojis are small pictures often used in text messages and email. They are used to show a feeling or idea. These little pictures of faces, objects, and animals got their start in Japan. The word emoji comes from the Japanese words for "picture" and "character."
In the 1990s, it took a long time to write text messages on the first cell phones. A Japanese man named Shigetaka Kurita thought it would be faster and easier to send messages using pictures. Instead of typing "It is sunny today," you could just use a picture of the sun. Kurita came up with 176 digital pictures that became the first emojis. There were hearts, happy and sad faces, and pictures showing different kinds of weather. The emojis were fast to type and easy to understand. They could also add extra information about how the writer was feeling.
Emojis were an instant hit. People loved using emojis so much that they asked for new ones to be made. Now, there are thousands of different emojis, including ones for pizza, basketball, and animals.
Using pictures in messages can carry ideas across the world. Even people who do not speak the same language can communicate with emojis. A smiling face means happy thoughts whether you speak English or Japanese!

[rapid briar]

Is thiss chatgpt

[astral path]

As for the basis of $\mathbb{R}$ as a vector space over $\mathbb{Q}$ , I thought about that question before, but I could not have solved it back then (because I simply did not know the required mathematical machineries) and just used MSE. Nonetheless, I still remember the gist of the argument.

Since $\mathbb{R}$ is uncountable and $\mathbb{Q}$ is countable, it follows that $\mathbb{R}$ is an infinite-dimensional vector space over $\mathbb{Q}$ ; otherwise, for some natural number $n$ , $\mathbb{R}$ is isomorphic to $\mathbb{Q}^n$ , but $\mathbb{Q}^n$ is countable (because $\mathbb{Q}$ is countable, and because the Cartesian product of countable sets is also countable), and thus, the uncountable nature of $\mathbb{R}$ is contradicted. As for the existence of a basis of $\mathbb{R}$ as a vector space over $\mathbb{Q}$ , I heard that I need to use some transfinite set theory, but I am not familiar with advanced set theory yet.

[fathom swallow]

DW09877

[neat lintel]

none of this needed to be put into latex

[bright hill]

But it looks pretty now

[hybrid cove]

[hybrid cove]

[storm sage]

omg

tterra???

:o

[storm sage]

Any vector space has a basis by zorn's lemma (a maximal linearly independent set)

You are right that in this case, the basis is infinite

[neat lintel]

hey

i was focusing on school

now there's no school

so i'm back

i think i am going to do some kind of geometry over the summer

[storm sage]

oooh that sounds cool

what kind?

welcome back! :)

[neat lintel]

maybe poisson (again!?)

poisson, symplectic, or riemannian

one of those guys

[storm sage]

:o I have no idea what that means but it sounds cool

I'm taking a course on riemannian geometry next semester

[neat lintel]

symplectic = mechanics
riemannian = classical DG
poisson = weird

fishy

[storm sage]

Oh they're used in hamiltonian mechanics, that's sick

[neat lintel]

phase spaces in hamiltonian mechanics are symplectic manifolds

well, maybe i should say cotangent bundles instead. locally it's all the same

[storm sage]

that's exciting, where are you reading from?

[neat lintel]

(because cotangent bundles consist of pairs (q, p), where q is the position on the manifold and p is a covector at q giving you momentum)

(and hamiltonian mechanics considers position and momentum)

[storm sage]

Oh wait that's cool

[neat lintel]

there's a relatively new book on poisson geometry by some of the top people in the field

[storm sage]

I should learn hamiltonian mechanics

nice!!!

Saved

[neat lintel]

preview since i don't wanna get sniped for posting the full pdf

if i do symplectic then i will read mcduff and salamon. the classic

[neat lintel]

arnold

goes from newtonian to lagrangian to finally hamiltonian mechanics

i took a class following it last semester

good stuff!

[storm sage]

oooooh ty!

I've been reading tu intro to manifolds lol

I'm trying to prep so I don't get murdered next semester in differential geometry

[neat lintel]

tu is good

if you really wanna get ready for the class, do the exercises from lee