serious-discussion

[neat lintel]

That's a whole lotta empty words I just said but maybe it helps, I'm tired and gonna go sleep - I'd wish you good luck, but I know you'll do great 🙂

[visual breach]

Yeah, it helped a lot! Good night!

[sly flint]

FC -> Finished Confident
F -> Finished
O -> Ongoing
N -> Not Started

[neat lintel]

what does offset mean here

oh its the relative memory position relative to the register address

[solar hawk]

Is the time column for liek

How long until the next letter

[mental stratus]

what are a,b,c

[sly flint]

yup

[sly flint]

they represent what stuff I'm doing together so a/b is doing a and b at the same time/there is some overlap

That being said, I'm revising that section because at the rates and diversity of the things I've specified, the only way it's possible if I don't sleep at all for 2 months straight

[carmine fjord]

does anyone do foundation math?

[rapid wasp]

Bro can someone help me and explain vectors to me, please

[mental stratus]

those in #foundations do

vectors are column matrices

well vectors are elements of cartesian product R times R or if youre in 3d R times R times R

[rapid wasp]

okay so do you always have to follow the (x,y,z) ?

[mental stratus]

that's their form in 3d

[rapid wasp]

yeah cause of z

[mental stratus]

if youre in 2d they are of the form (x,y)

[rapid wasp]

okay can there be more than z

[mental stratus]

sure

an n dimensional vector is an element of the cartesian product of R with itself n times

R times R times ... times R for n many R

R is set of real numbers

look up set cartesian products

[rapid wasp]

ohh okay i just did, thankss

but than how could there be more than z ?

can it be something outside of 3d ? would that even work ?

like hypothetically can we go beyond 3d ?

in generell ?

[prime lily]

Wiener processes caused me mental breakdown

[neat lintel]

yes and we do that often

[rapid wasp]

in vectors too ?

[neat lintel]

For example your vectors could represent the position in 3d space of 2 iceballs. So you need 6 coordinates to represent them. Your vectors will be the elements of a 6d space

[rapid wasp]

ohh okay so then do you go beyond the "z" which is in 3d or do you still keep it and continue using it by going ahead with the cartesian products

[neat lintel]

might be useful to use variable names like x_1, x_2, ... if you use a lot of coordinates

elements of $\mathbb R^6$ could be written like $(x_1, \dots, x_6)$

[fathom swallow]

Carla_

[alpine copper]

I really like this explanation, especially for beginners. Makes it clear why we might want more than 3D vectors without getting tripped up on thinking of how we only live in a 3D world

[rapid wasp]

okay so how would you connect this to our dimension that we live in

[solid snow]

doesnt matter

you can have extremely ‘long’ vectors for example that represent the stock prices of a bunch of companies for example

with each entry being a different company’s stock

you can also have vectors which arent even vectors in R^n

for example, considering continuous real functions as vectors

[river moon]

surprisingly stuff that lives in high dimensional space has direct interpretation in 3-dimensional world

just because we live in 3 dimensions doesn't mean that it's enough to describe everything

e. g. you can take any object and assign it 10 numerical values that would reflect some of it's properties

[lapis jungle]

my friend said my power bank looks like a bomb

is this true chat

[neat lintel]

sort of

[hollow ginkgo]

It looks like a phone

[neat lintel]

it looks like a radio

[neat lintel]

it looks like a nintendo switch

[unique slate]

Looks like a powerbank

Ngl

🥶

[solar hawk]

Always wanted to know the basis of this

But they tell me it’s too complicated

Smh. Government

[mental stratus]

would be infinite

how one would write such a thing down is a question beyond me

[solar hawk]

With “…”s Right

[solid snow]

probably none is explcitly described

but such a basis exists because of zorn

[raven plaza]

Zemon

[neat lintel]

yeah i dont think theres any formula that uniquely defines a basis for it (in all models)

So you cant know a basis of it. You can only know some (infinite) sets of basis of it

[uneven hound]

Can someone give me something to read so I can sleep

Something interesting but hard to understand or boring and hard to understand idk I needa sleep

[leaden torrent]

read umineko

[raven plaza]

Is it a sci-fi

[uneven hound]

Well I don't think I'll be able to find it

One I found online and it's Japanese

[ocean harbor]

read a canadian book about politics

it makes you sleepy like in 2 minutes

[neat lintel]

hartshorne algebraic geometry

[uneven hound]

Perfect, give me a name

[clear fox]

What video games do you guys play?

[uneven hound]

Depends on why you ask

[clear fox]

Idk I’m bored

And looking for a video game to play

[uneven hound]

Enshrouded

You know?

[ocean harbor]

you can find one if you search

[ocean harbor]

I'd recommend playing geometry dash

[uneven hound]

I decided I'm not gonna sleep for some time xd

[ocean harbor]

what time it is rn?

[uneven hound]

00.00

[ocean harbor]

oh cool

that's not bad

[uneven hound]

Yeh xd

I'mma wake up 7am tho

[ocean harbor]

for school?

[uneven hound]

Uni

[ocean harbor]

ah ok

go to sleep then

[uneven hound]

That's the issue

I can't xd

[ocean harbor]

[fresh comet]

@solar hawk moving here to not clog up the other channel: where did you learn LA from?

Axler?

[solar hawk]

ya and bronson

so

well

ok its werird

i learned vector spaces to fish theorem in axler

but also matrices and vector spaces to eigen-stuff from bronson

and then in general some R^n computational engineer bullshit from whereeverelse

[fresh comet]

lmao

[solar hawk]

lmao

[fresh comet]

So you’re good with linear maps and stuff?

[solar hawk]

yah

[fresh comet]

how much inner product stuff did you learn

[solar hawk]

if not then there a big problem

[solar hawk]

not much

or maybe i just forgot it yk.

[solar hawk]

ofc i remember the dot product from this

integration on the function space too

[fresh comet]

I need to know how much you know so I can see if I’m gonna be able to follow ITM with you lmao

[solar hawk]

you know inner product spaces right

[fresh comet]

eh.. I guess?

[solar hawk]

i just

i dont wanna learn it like

[fresh comet]

I wouldn’t call myself fluent

[solar hawk]

improperly i wanna learn it right from a book

which would be axler

but im reaaally behind on my problems

so i aint wanna do it anymroe

[sly flint]

wait, you don't solve every single problem?!

[solar hawk]

i do

which is the problem

its gonna take

[sly flint]

oh

[solar hawk]

forever 😭

well

i didnt used to

but i do now

so ye

Bronson and Axler had lots of overlap though

[sly flint]

For simple problems I just do them in my head but usually it just takes around an hour though

[solar hawk]

and i did all my Bronson homework

[sly flint]

Nice, nice

Is bronson like an intro to lin alg book?

[solar hawk]

ya

matrices, and all that

doesnt do fish iso, afaik/r

it does do diffeq

fundamental form and stuff

ngl i completely dumped that from my brain tho

[sly flint]

ahh, I might just get it then, cause gilbert's introduction is a very beginner level intro ngl

[fresh comet]

I always have the urge to, but am never able to lmao

[solar hawk]

Bronson is also pretty intro

there is a uni-hosted PDF online

so u can just read it from there

[sly flint]

it also depends on the number of problems, like I ain't solving 89 or sumth problems from gallian

[sly flint]

thanks

[fresh comet]

fair

[neat lintel]

How do i choose an area to do undergrad research in?

[solar hawk]

https://tenor.com/view/dead-cat-cpr-funny-animals-cute-revive-gif-13712625

[solar hawk]

idk

[neat lintel]

Just follow my intellectual interest?

[solar hawk]

maybe

[neat lintel]

cat cpr?

[solar hawk]

yes

is that a problem

[neat lintel]

Yeah, i can choose between optimization or graph theory/the travelling salesman problem. I think i'm gonna go with the second one

[solar hawk]

:o

[neat lintel]

Looks more fun

[sleek pebble]

completely unrelated to math, but is anyone available to help me with non harmonic tones and 4 part writing for music theory??

[untold sand]

off topic but what do you guys think about Devin?

[solar hawk]

who tf is devin

[untold sand]

the new ml model

https://www.cognition-labs.com/blog

[deep mango]

He's gonna put the money in your pocket

[vernal mist]

Hello everyone

[floral charm]

Hi everyone, I am looking for a learning buddy. I am studying DE from the Simmons (DE with applications and historical notes). Is anyone interested?

[small imp]

why wont it let me type msgs

i mean

pictures

[cold needle]

https://media.discordapp.net/attachments/268882317391429632/1204996537063579648/image0.gif

jokes aside we've disabled image permissions for users without activity roles

for moderation more or less

you should still be able to post images in #chill i think, and of course, in the help channels

[clear fox]

Hello

[hollow ginkgo]

Activity roles?

[leaden torrent]

active/very active/emeritus

[empty stratus]

Well, I'm back.

This is probably the best birthday present I could have asked for, even if it came a day too late. 🙂

[fresh comet]

happy late birthday

[empty stratus]

Thanks.

[reef zinc]

Yknow parametric curves aren't so intimidating anymore after looking at it for long enough.....

[vivid halo]

welcome back

[empty stratus]

Thanks.

[neat lintel]

If you're starting a study group count me in

[orchid badger]

wait, is my defination of differentiation correct?
there's a function of x which is giving us the value whch we are plotting on the y axis
so, the value of f(x) or y which we get when the difference between 2 value of x is 1 telling us by whaat is the value of f(x) the graph is moving
can we say that the process of finding that value is differentiation

[sudden surge]

Differentiation is the process of finding the derivative. The derivative can be interpreted as the rate of change at a point or the slope of the tangent line to a point.

[orchid badger]

how can derivative be the slpe of the tangent y

[leaden torrent]

the slope of a line drawn between two points $(x, f(x))$ and $(x+h, f(x+h))$ is given by [\frac{f(x+h)-f(x)}{h}]

[fathom swallow]

Namington

[leaden torrent]

do you see why this is true?

its an application of the slope formula $\frac{y_2 - y_1}{x_2 - x_1}$

[fathom swallow]

Namington

[leaden torrent]

just replacing "y" with "f(x)" and "x_2" with "x + h"

the derivative, then, is the limiting behaviour as you make this distance h small

hence giving you the slope of a tangent line at a single point

i.e. $f'(x)$ is defined to be [
\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}]
for $f\colon S \to \bR$ with $S\subseteq \bR$

[fathom swallow]

Namington

[leaden torrent]

i would caution against talkin gabout "x" and "y" axes

since we often differentiate with respect to different variables than just x and y

the derivative is an operation on functions, not on graphs

graphs just give us intuition

for example, newton's original formulation of calculus only considered time derivatives.

[hollow ginkgo]

What happened?

[empty stratus]

I was banned for two years. 😭

[fresh comet]

out of curiousity, how did you manage to come back?

[empty stratus]

yoavmal appealed the ban for me a couple days ago.

It was revoked earlier today.

[hollow ginkgo]

Imagine being banned from a Discord server for more than a day

[bronze pelican]

@hollow sun

[untold sand]

Question: will I die if i take advanced linear algebra and real analysis in the same semester

[latent edge]

You'll die either case

[untold sand]

Would you recommend taking probability alongside adv lin alg or real analysis then?

[untold sand]

Sorry to ping

[mental stratus]

no

what kind of probability

what other courses are you taking

[untold sand]

I will be taking like 2 social behavioral/humanities

• im planning 2 math

And one extra (linguistics) if i can handle

I was originally planning real analysis over the summer in a month. That definitely doesn’t sound fun.

[fresh comet]

that totally depends on your math background

[tender tulip]

This is a lie. Real analysis grants immortality

[brittle socket]

Well, you can't die once you're dead.

Oh wait how did I end up in discussy

[fresh comet]

You are now obliged to become a discussier

[brittle socket]

No

[visual breach]

At least, this is discussion-2

This place is, as far as I've felt, not at all like discussion-1

[fresh comet]

#discussion can be a real mess sometimes

[visual breach]

Yeah

[fallen mango]

It all connects in the end

[warm hearth]

Can someone resolve some doubts i have about AP calculus AB?

[pure ermine]

what do you need?

[ocean harbor]

!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.

[warm hearth]

No it's not like a mathematics question

[ocean harbor]

what it is then

[warm hearth]

I got an email about the terms and conditions of the AP exam and was told in the email that i needed to accept those terms in order to give the exam

when i went to the terms and conditions page there was no checkbox or agreement submission button

when i attempted the digital SAT, i received a similar email and accepted the terms on the webpage

so i was wondering if since the AP exam is on pen and paper will i have to sign the terms agreement at the test center on paper?

[ocean harbor]

honestly im not sure

[quiet geode]

what is the difference between a function and a variable

[proud olive]

Variable is the input of some function

[quiet geode]

so it was defined to be solely keeping in mind that its eventually gonna be an input to a function

[proud olive]

Usually but that's not necessarily defined explicitly

Ig i can say x is a variable without ever mentioning the function which deals with x

But the point of defining a variable is mainly to have it as a placeholder for something with a specified structure and whatever expression the variable appears in will be its function

That's how I'm familiar with it at least

[quiet geode]

i LOVE the way youve written

isnt function also a placeholder in the same sense though

@proud olive

[proud olive]

It can be but it can also act as a pandora's box

[quiet geode]

so function is variable + pandora's box

[proud olive]

Yeah if it hasn't been defined yet

But well function and variable are kind of hard to distinguish between tbh

[solid snow]

huh?

functions can be variables

like "let f be a function..."

[quiet geode]

yes

OMG

[solid snow]

variables are simply just placeholders for whatever we choose

[proud olive]

But what I mean by this is that it can still give you outputs even if you don't know its "framework"

But if you've specified the inputs then the outputs must always be the same

[quiet geode]

hmm, its like i dont know what the operation it does but i know enough to say that it does SOMETHING and if the operation itself isnt important for the part of your work, you can abstract it out with whatever you want

[solid snow]

the graph of a function $f : X \to Y,: \Gamma_f$ is a subset of $X \times Y$ with the restriction that for each $x \in X$, there is only one pair $(x,y) \in \Gamma_f$

[fathom swallow]

josemom2

[solid snow]

this, along with the domain and codomain, encodes all the information of what a function 'does'

i.e you can describe it entirely by its inputs and outputs without touching the guts

[river flame]

can someone tell me really quick how to calculate chances? Do you calculate the percentage chances by dividing 1 by the other number, for example 1/450 if i divide 1 by 450 do i get the percentage

[solid snow]

you multiply that by 100 to write it as x% where x is a number from 0 to 1

[river flame]

can u give me an example i dont understand u

[solid snow]

multiply what you just said by 100 to write it as a percentage

[river flame]

can u check dm

[solid snow]

no

[river flame]

bro come on i dont understand what ur saying

[solid snow]

to multiply something by 100

to write it as a percentage

[river flame]

multiply what exactly

[solid snow]

1/450

[river flame]

how do i multiply that

[solid snow]

how do you multiply 1/450 by 100?

[river flame]

wait so

is the line divide

like 1 divided bt 450 multiplied by 100?

[solid snow]

#prealg-and-algebra

[river flame]

just yes or no

thats my final question

[wicked zodiac]

(1/450) * 100

[river flame]

is the / divide

[wicked zodiac]

Yes

[river flame]

ok thanks

[wicked zodiac]

And * is multiplication

[acoustic remnant]

I need help right now

[cinder zephyr]

#❓how-to-get-help

[orchid badger]

how does dot product of a 2d plane with another side gives you volume

[fervent pebble]

lmao

[neat lintel]

How do you guys recommend studying? Do you recommend to just follow the notes my teacher provides to the students or should i follow the book? Maybe both?

Mathematics in general

Undergra

d

Yeah what?

So when would i know to supplement?

I se

e

And just rewrite the theorems the notes present and stuff?

The definitions as well, i presume?

Isn't that quite time consuming though?

Gotta know how to balance things i guess. If there is just too much gotta rush a little faster and some things can't be rewritten

Is that it?

I see

I usually use anki for this kinda of stuff

Yeah

It supports latex

[tall minnow]

are you gonna go further in maths? undergrad degree? grad school? etc.

[neat lintel]

But it's best for definitions since there are usually a lot of them

[tall minnow]

do you want to understand stuff or just to apply them

[neat lintel]

Yeah, i hope to do a phd

Understand

Yep, or tcs

But my country is a little inflexible so it'll probably end up being math

[tall minnow]

ok, then prove every theorem and formula. Don't just read the proofs. Try to do it and take a sneak peek only when you are out of ideas, and try again.

[neat lintel]

I see

[tall minnow]

this is something I can only recommend to serious people

[neat lintel]

Gonna try starting to do it

Hope i don't use all of my time trying to prove theorems

[tall minnow]

what level of maths are you at rn? Have you read Rudin or Folland etc.

yes

[neat lintel]

Nah, i'm just beginning

[tall minnow]

It is, and that's how maths will be even up to research level

[neat lintel]

Starting to get introduced to proofs

[tall minnow]

the theorems are just the signposts on a map
you have to undertake the real journey yourself

[neat lintel]

Yeah, you're right

[tall minnow]

any textbook can give you the solution
none can tell you how to find it

[neat lintel]

I think i just don't manage my time very well and spend too much of it doing exercises i already know how to do

[tall minnow]

exercises are less important than proving the main theorems and formulas

[neat lintel]

I see

[tall minnow]

they are just there to make sure you didn't fake your way through the book

[neat lintel]

Will start slowly adopting this practice

So as to not crash and burn

What is your instance on definitions delerik? Should i just memorize them?

[tall minnow]

I can recommend reading Lang's Basic Algebra and then Tao's Analysis along with a good book in linear algebra

[neat lintel]

People say kunze is good for linear algebra, i can tell it's very rigorous from skimming it so have caution

[tall minnow]

yeah kunze should be fine if you can handle it

if you need help with proofs or have not seen it before, read "How to prove it" by Velleman

[tall minnow]

"Don't just read it; fight it! Ask your own questions, look for your own examples, discover your own proofs. Is the hypothesis necessary? Is the converse true? What happens in the classical special case? What about the degenerate cases? Where does the proof use the hypothesis?" -- Paul Halmos

same for definitions, give examples and counter examples

Anki is for recalling stuff years down the line. understanding alone can go for a long while before you need refreshment from flashcards

they are all super obvious once you know the complex exponential, but sure you can practice with them

though they are mainly about calculations rather than logic

[neat lintel]

Thanks for the advice delerik

[tall minnow]

yeah

[ocean apex]

nice

[round plover]

hey

[young cove]

[visual breach]

Tf, I wonder why I even have to bother about my appearance IRL meh

Why are everyone in my region so obsessed with it

[cold needle]

i like your profile picture

[visual breach]

Why sully

I think proper cleaning and self- care is good, but people in my neighborhood pretty much constantly talk about good looks. Bleh

[tawdry pecan]

Yuck

Appearance shouldnt matter as much as we make it

Its just such an unattainable goal that we all are told we should strive for

I am not wearing a suit to my gas station interview sorry

[visual breach]

Wait what, suit to gas station interview?

Oh god

[tawdry pecan]

I was making a joke mostly, but...

[visual breach]

Ah, sorry

[visual breach]

Anyway, I cannot agree more.

[fallen mango]

Well you dont make it

It just is

[tawdry pecan]

Ok, im using "we" and "make" pretty loosely there yeah

But im not about to explain the way that ideas spread and take dominance

Sooo

[fallen mango]

Yeah

[tawdry pecan]

*skill issue gif im on mobile

Crashes when i opwn gifs yipee

[fallen mango]

You only have to wear something nice

[tawdry pecan]

Yeah formal attire is fine in reasonable circumstances

[fallen mango]

Most are reasonable circumstances

[tawdry pecan]

But if its a friday afternoon you best believe i am wearing a tshirt to my job

[visual breach]

Wish people just care about attire instead of appearance itself, meh

[fallen mango]

To the job you just wear something nice

[tawdry pecan]

Yeah ik

[fallen mango]

I dont know where thatl be but most jobs dont require a tie

[tawdry pecan]

Im fine with that part, its just the strict part thay puts me off

Idk

[fallen mango]

Let me put it down for you, dress to impress, first impression is everything,and going loosely makes you seem inexperienced or not commited enough

[tawdry pecan]

Yeah ik, i can follow rules without liking them though

[fallen mango]

After you get the job your going to need to wear gas station clothes for it to have effect

[tawdry pecan]

Lol

[visual breach]

True, first impression matters

(But well.. suit for gas station is still)

[tawdry pecan]

It would be funny to show up in a suit ill admit

I think youd get extra points w the employer for having a sense of humor

[fallen mango]

Unless its an advanced company even local brands are fine

[visual breach]

Ahhh, ye indeed

[fallen mango]

You dont

[tawdry pecan]

Damn

[fallen mango]

Interviewers take many applications and take them very seriously

Your joke needs to be hilarious for it to not have negative effects

[tawdry pecan]

I think demonstraring a sense of humor could help you get a job, it makes you stand out

[fallen mango]

From their side your nervous

[tawdry pecan]

Well not if you pull it off right

[fallen mango]

Not many people can

Especially under judgement

Even if you pull it off your going to be sweating from the pressure

[tawdry pecan]

I know some people who are just, cool as a cucumber no matter what, its nuts

But also if its a gas station or smth u arent gonna be that pressed if ur rejected

Theres like a billion other places

Now for a more professional job, yeah

[fallen mango]

In a has station you could

In a tech interview, not so much

[tawdry pecan]

Yeah no not there lmao

[fallen mango]

Well this is a math server

Most of us go there

[tawdry pecan]

Ye

Anyways ita late 4 me im gonna head out

Gn

[fallen mango]

Gn

[lost crater]

wrong

this is a biology server

[hollow sun]

i try to use my credibility as a large server owner to pass on ban appeals i think are appropriate, since i'm not the one in discussion it makes it far easier

i do have to admit discord could put its own resources to make ban appeals easier for both the banned user and the moderation, but what difference do i make

[hidden isle]

<@&268886789983436800>

ur gonna be sent into the void

permanently deleted

[neat lintel]

water beam

[hidden isle]

yajat

[neat lintel]

do you remember me?

[hidden isle]

The physics guy?

[neat lintel]

what physics guy?

[hidden isle]

yes

[neat lintel]

wait

what physics guy 😭😭

[neat lintel]

theres a such thing as overdressing causing you not to get a job too

its totally not too common

[visual breach]

Indeed, it does not seem appropriate attire

[neat lintel]

but sometimes people want someone who isnt just forcing confident presentation w a faccade

so it depends

[visual breach]

(Unless for jokes)

[neat lintel]

but a casual suit is very smart for anything like

light business casual

not business formal

[glass peak]

You can overdo it so much that it works again though, 2 different dishwashers have shown up in suits at places I’ve worked and they both got hired just for the sheer shits and giggles of it

[neat lintel]

true

just gotta know your crowd

for any job in my profession especially w the consideration people find gauged ears dickish looking

I wear suits

and am very very well educated and well spoken so luckily the style I present does not infract on my ability to make it very evident how smart I am and how qualified I am in an instant regardless of how i look

[neat lintel]

[plucky sage]

Hello everyone, I would like to ask a question . I'm particularly interested in automated theorem proving, especially Lean4 and its mathlib ,is there any community, people on this server or any other server that discusses related content?

[solar hawk]

Hey tteppa

[neat lintel]

hey amukh

[vernal token]

Terence Tao often posts on this forum thing and there was a discord-like platform there that specializes in this, I think

It was called Tulip

Wait, let me search that up

Mathstodon is the forum

[hexed hull]

how did u get tulip

[vernal token]

There

https://leanprover.zulipchat.com/

zulip*

[woven cedar]

asian parent be like

https://tenor.com/view/what-the-hell-gif-25638782

[ocean harbor]

https://tenor.com/view/thinking-space-epic-mbed-fail-gif-21266064

[meager arch]

This gif gave me visual pain

[ocean harbor]

I agree

[manic blade]

lmao are yall gd players

[clear fox]

Sometimes

[ocean harbor]

https://tenor.com/view/fire-in-the-hole-smile-face-smiley-geometry-dash-meme-gif-8109248625508917459

[manic blade]

fire in the hole!

https://tenor.com/view/fire-in-the-hole-gif-14799466830322850291

(no gif perms)

[clear fox]

If you’re in high school, can you test out of math duel enrollment courses like a college equivalent of like an AP test?

[ocean harbor]

it is only for active users like active/very active/emeritus

and postgraduate math iirc

[ocean harbor]

you can

[manic blade]

damn

[ocean harbor]

https://cdn.discordapp.com/emojis/956613315520507904.gif?size=128&quality=lossless

[gloomy bobcat]

Does anyone have advice on how to generally get better at math?
Per se, how many hours of math studied every weekend/weekday, and which programs helped the most? i.e. IXL, Khan Academy, YouTube Tutorials

[neat lintel]

mathisfun.com

taught me lots of stuff

set yourself crazy problems that you know you can’t do and learn new math to solve them

[ocean harbor]

paul's online notes

[neat lintel]

I used to spend entire days ~16 hours studying

I would recommend you do that

Learn vv fast

[alpine comet]

it's not about the hours

the first thing is you need to somehow learn to enjoy the suffering journey

then time flies when you do math, and before you realise, you cannot stop

there are good programs, but idk any that fits everyone

you just have to try a bunch of ways and see what sticks

I have very hard time learning something if it's not something I care about. so usually I find some stupidly difficult but seemingly approachable problem, and learn whatever it takes to solve it

[gloomy bobcat]

In highschool or college?

[fresh comet]

but how

[gloomy bobcat]

Are you passionate about math in general, or forced to do it lol

I dont have the mental nor physical capability to study 16 hours a day

[tall minnow]

don't count by hours. just spend as much time as you want until you understand something

but you have not told us your level so I assume you're pre-uni

in which case, all the more, you need to be honest to yourself whether you understand something. any gaps will just come back and bite you harder.

[gloomy bobcat]

I have a bad foundation, but my math course in school goes very fast, do you recommend going back to build stronger foundation or study the upcoming stuff first?

[tall minnow]

see this is the problem. because you have gaps, instead of solving one math problem, you're solving two. And you don't even know what the second problem is.

[neat lintel]

college

[neat lintel]

I think I would had spent more time studying if I didn't do 16 hours a day

[tall minnow]

what I really recommend is to plug the gaps in your understanding. which requires complete self-honesty. you can do it yourself or you can ask a tutor or friends or the teacher to check your understanding. there should be such resources

[fresh comet]

WHY

[neat lintel]

100% just do the upcoming stuff you have no idea how to do /j

[fresh comet]

HOW IS IT ALWAYS ME

I SAID 2 WORDS

[ripe needle]

This is the best part lmfao

[tall minnow]

@gloomy bobcat you should both do that while trying to keep up with class material. don't be too afraid to ask the teacher for help who knows your situation best.

[gloomy bobcat]

Ok, thats what Ive been trying to do - but I am also a very dedicated pianist so that takes away lots of time lol

[worldly root]

I entered in the middle of the convo but why not work for 4 hours and get the productivity of 16 hour of studying? I mean, some people pass others this way and this got reccomended to me as well.

[gloomy bobcat]

Also I need to stop procrastinating and set schedules

[tall minnow]

maths is rather fair in its returns. it's just how much you want to invest in it

[gloomy bobcat]

Yeah, for formulas I have terrible memory, how do you recommend memorizing them? Like would you say writing them down, repeat it in your head, do this a few days until you get it entirely is effective? The formulas done this way are usually forgotten a few weeks later though

[tall minnow]

do you understand why the formulas are true

understanding from first principles rather than memorization is why as a kid I vastly preferred maths / physics to bio/history

latter is a lot of memorization
former is just thinking from first principles so you only need a few core things to derive the rest

understand the formulas, apply them in exercises to get a feeling for them, and you will retain them in your mind for a long time

[gloomy bobcat]

So you find math interesting, maybe as such a hobby? Is that your motivation to continue doing it and doing well

[gloomy bobcat]

Do you think coming back to them occasionally helps or just for a specific period of time is fine

[tall minnow]

I don't "come back." I just get alarmed if there is something I don't understand or can no longer recall. Then I relearn and each time I do it I do it much faster and with new perspectives.

For instance, do you know Pythagoras theorem? a^2 + b^2 = c^2

why is that thing true again? if I find myself not understanding something I think about it immediately

[gloomy bobcat]

I study for tests and formulas, and seemingly forget it right afterward because our teacher moves onto another topic of math and seem to never review the past topics

So I have no, motive I guess

[tall minnow]

at different stages in life I have different motivations
competitions, prestige, deadlines
those are extrinsic factors. but the longer I spend in maths the more I realize the intrinsic reasons
figuring out why things works is fun. That's why people love puzzles, science / trivia videos etc.

and mathematics is one of those things that only become more interesting and mind-bending the higher you go. it never repeats and keeps giving you new mysteries and quests to overcome

and whenever people ask why do it, I can just unironically say I want to understand the universe

I can't imagine living my life without understanding how quantum mechanics or general relativity works, especially when they are amongst the greatest discoveries of mankind

[gloomy bobcat]

I can see where you’re coming from, and I think I just have a bad relationship with math from the start, and I assume your interest in math really helps with motivation, and everytime I study math or look into it I have this depressed feeling of not getting anything, Lol.

[tall minnow]

good thing is that maths is about the only subject where you can understand everything to the smallest of levels

[gloomy bobcat]

Math is extremely logical, too logical. . .

[tall minnow]

logic is only the mechanical part, like typing on a typewriter

and yet writing isn't about that mechanical part. you have to tell a story

And in maths you have to find the right ideas and directions first before you can verify or calculate. and then make it a coherent story, like the theory of unbounded operators. that is an art.

https://en.wikipedia.org/wiki/Mathematical_maturity#Progression
see the post-rigorous phase of math

[jagged forge]

i love that article

although

oh there's a wikipedia page for this? i immediately went to tao's article lol

tao was explaining there's more to math than rigor, but ironically i tend to cite that article to people who lack rigor, since they are not necessarily even aware of the "rigorous" stage

[tall minnow]

you have to go through all 3

[jagged forge]

i'm still at the stage where i write down a problem and get stuck rephrasing it in useless ways

which is probably stage 2

[gloomy bobcat]

Never thought of it that way, and now I think about it, in a form thats true but its difficult to do so lol

Did you take calculus AB or BC in highschool? Did you find it easy if so?

Or hard at first, easy later on?

[tall minnow]

I found calculus rather disappointing because half of it was unproven memorization.

the college version called Analysis is where you prove everything

and it's somewhat magical, since before uni I had been using real numbers without knowing what real numbers are

like, such a huge gap I didn't recognize I had for 18 years

that gap accounts for all the magic in calculus

[frigid pebble]

https://tenor.com/view/simpsons-nerd-gif-9743791

[ocean harbor]

https://tenor.com/view/sad-troll-gifperms-gif-21467625

[burnt basin]

anybody have advice on evaluating the quality of an undergrad math program? what should i be looking for etc

[neat lintel]

i need mathematical maturity so i can become a math milf

[narrow mantle]

I get confused when I read proofs written by ChatGPT

[river moon]

we all do

[glass peak]

That’s because they more than likely don’t make any sense

[tender tulip]

[visual breach]

<@&268886789983436800> unsolicited ad

[latent edge]

d/dx this add

[latent edge]

What

[tacit magnet]

[tender tulip]

that message makes me feel several emotions concurrently

[lost crater]

[fresh comet]

here too lol

[ripe needle]

This simple "what" made me lol IRL

It's giving me this GIF

https://tenor.com/view/ummmmmm-excuse-me-what-gif-19629790

[neat lintel]

Math milfs is one thing I never thought I would hear in my life

But alas

[ripe needle]

This is a hard question to answer based on many factors.

First, what country are you even in
Second, do you have the freedom to apply anywhere or are you stuck locally?
Three, what schools are you interested in
Four, what cities are you interested in? (Remember school is only 1/3 of your life, if you move you're still spending 3-4 years somewhere)
Five, what is your current background. Any AP classes, SAT score, etc.

Once you narrow down your top 5-10 schools, either ask here or on reddit or something similar or just apply to them and see who accepts you and then come here to help on making a final decision.

Generally in the United States any R1 school is fine. Obviously there's some choices better than others (Ivy Leagues schools)

[neat lintel]

To others watching this, I did not start this convo

[sudden pond]

no fr I know who you're talking about

i've seen him

I'm going to start a chemistry channel on the hub and call myself "sodium whoride"

😳

[ripe needle]

Amazing

[ripe needle]

This is a pun I'm going to keep coming back to and laughing a little harder each time.

[sudden pond]

Thank you I came up with it on the stop

Spot

[neat lintel]

How's LA going agua

[clear fox]

Can you test out of dual enrollment courses while still in high school (like calc 3 or linear algebra)?

[ripe needle]

Test out in what way

[ripe needle]

Out of the college class for college credit? No

[clear fox]

Can you do this when you’re in college though?

This is because I self studied a bunch and now I know like basic pde stuff and real analysis

Probably not a good idea in foresight

[ripe needle]

Still no.

You can do the CLEP exams, which basically means if you didn't get college credit for Calc 1 in High School, you can pay the fee and the the CLEP Calc 1 test and if you pass you get college credit for Calc 1, but for more advanced classes the answer is generally no.

I'm not saying it's never possible and never happens, but generally professors and departments want you to go through their classes their way, and if you already know the knowledge then it's expected to be an easy A for you.

Some places you can normally take a math placement test or otherwise taking an exam proving you have knowledge up to a certain math level, e.g. Calc 3

The department still sets guidelines that you're required to complete XYZ courses in order to graduate though.

[clear fox]

That seems…
rough to people

[ripe needle]

Yeah, tell me about it

welcome to The System™

[bright hill]

lol

[bright hill]

I mean, to be fair, mathematician in 17-18th century have been in the same boat for waaaaaay longer

like, even cauchy did that

and that was way into the 19th century

[neat lintel]

Just remembering that it's not long before I pass makes me panic, I don't know if I'll be happy or sad

[fresh comet]

<@&268886789983436800> ad?

[storm sage]

Please don't advertise in this server

[small dust]

dawg…..

[grave patio]

yo tf

@ember goblet kinda expected to see you here but not this fast

rofl

[latent zodiac]

thats the guy who was in competition with cram schools right? i think i read an article abt him 😭

[regal steeple]

yall there is no help channel how can I ask for assistance on here

[fervent pebble]

!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.

[cold needle]

Brody, im just as much of a poon hound as you, maybe more, but this is not gonna fly in discussy

Also the message pinging layla was not cool

top ten ways to make someone uncomfortable

[sly flare]

@rustic wraith yo

Ive been asking questions about a problem ive had

[rustic wraith]

do I know you?

[sly flare]

No you dont, but someone directed me to you

[rustic wraith]

who?

[sly flare]

I wonder how i do this in a formal way

[sly flare]

Why does it matter?

[rustic wraith]

It just does

[sly flare]

Errrmm... okay

if your not interested in helping me then just say so

its about 3D graphics math

but ill do as you said

Oops

#serious-discussion message

[rustic wraith]

I thought you were just pinging people at random, but i guess cg kinda fits

ok, just ask yoir question, although idk whether this is the best channel

[sly flare]

Ill just open a help thread

Alright just give me a moment to find where i structurized my question

[neat lintel]

poon hound

no man

you gotta lock in and do math

https://tenor.com/view/fiber-optic-friday-eat-the-optic-cable-cable-shark-fibre-shark-gif-25548843

[small dust]

i was not expecting to wake up this morning to someone in discussion asking me to upload videos to the hub unironically

[blazing pawn]

It depends on your institution but plenty of them will allow people with a lot of background to skip courses they already know

[raven plaza]

A what

[dry birch]

hello sorry to interject but does anyone remember a server for stem that included help for all sciences. bc i was part of it but now im not and i can't find it anymore 😭

[neat lintel]

did you check #old-network

[jagged forge]

there was a stem server that disappeared recently

idk what happened to it

[dry birch]

oh no i didn't but i dont think it was any of those. thanks though

[dry birch]

yeahh i think its that one

[ripe needle]

@small dust Hey I deleted my messages. I crossed the line and didn't mean to make you feel uncomfortable. I'm sorry.

[small dust]

dw your predecessors have made me a seasoned veteran in getting uncomfortable messages. it takes a lot to make me uncomfortable

[tender tulip]

oh

[zealous garden]

Ooh shit you're green now

Looks good

[tender tulip]

Unfortunate, Layla

[small dust]

hi

and thx

[visual breach]

While I am making you uncomfortable just by existing

[fresh comet]

???

[small dust]

[glass peak]

Every time I hear about messages you receive they seem to get just a little bit more insane, who the fuck are these creeps

Have they never met or interacted with a woman before?

[fresh comet]

Salagos is usually quite tame

he's very fun to talk to

[small dust]

usually random people who have sent between 0 and 10 messages in this server

[fresh comet]

methinks he got possessed today or something

[visual breach]

I mean, we get spammers fairly often who doesn't even seem to achieve anything

The world is surely mysterious.

[glass peak]

Most of the random trolls are just edgy children saying random shit they don’t really believe to get a rise out of people

[small dust]

what salagos said is not even close to the worst thing i've received in the last 24 hours

[fresh comet]

I'm not quite sure what happened with Salagos honestly

I've never seen him go off the rails once before

[small dust]

he goes off the rails when talking to me it's ok though

don't need to talk about it any more

[visual breach]

Hmm, interesting

[fresh comet]

I guess we occasionally get the high effort troll

or the user who's not trolling, but may as well be

[visual breach]

Daily dose of crankery.. ah, think we've not getting one for a while

[small dust]

crank in discussion 😌

[fresh comet]

oh right, you don't go to #discussion often do you Absta?

[visual breach]

Yeah

[fresh comet]

yeah...

there's a lot of crankery in discussion

[visual breach]

Ahhh

[fresh comet]

there was also this today
#math-discussion message

[visual breach]

Ah, so that was also a crankery

[fresh comet]

I can't judge it's character tbh

because I don't know enough math

[empty stratus]

Probably the most frustrating thing about mathematics for me is getting stuck because I don't understand the specialized instructions required to use tool/technique X.

I feel there's a difference between getting stuck with understanding the tools and getting stuck with not knowing what tool to use.

I really don't like the former.

It's like finding out you don't have the right kind of batteries needed for your brand new toy.

[small dust]

not very confident, open to the possibility he's being ridiculous, not angry at the world over mathematicians not accepting his work

not a crank

[fresh comet]

honestly, I didn't think he was a crank either

but probably misguided

[empty stratus]

I understand why professor have graduate students now.

The students can go research things to explain to the professor how to do X without having to learn all the details behind X themselves.

[latent edge]

No he is not a crank

He is very open

a possible good mathematician candidate

[worthy sluice]

for polynomial A = 3x^4 - 5x^2 - 3x + 7 - 2x^4 + 4x^2
a. Collapse and find the degree of A
b. Find polynomial B such that A+B= 2x^2 +1
c. Calculate the value of polynomial A when x=1/2

help me guys

[visual breach]

Oooh

[latent edge]

!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.

[burnt basin]

I'm in the US, and I've applied to a pretty wide breadth of schools (36 ACT), some for math some for other stuff. i've taken calc BC, Calc iii at a nearby community college and am currently taking an intro to analysis course, when it comes to math, my options are between honors programs at a few flagship state schools and a very well respected liberal arts college, Grinnell. A small school with close access to professors is ideal for me, but looking at grinnells math curriculum I can't quite tell if their course offerings are limited --- what topics is one supposed to come out of a math major with a knowledge of?

[acoustic remnant]

Does anyone know how to reconnect with family ?

[ocean apex]

gm

[neat lintel]

you dont

[cold needle]

arff!

[cold needle]

ill let you simmer on that one for a while

[raven plaza]

Why does everyone want to cook Arki

[cold needle]

nooo i mean

uh

like just think about it or google ig

anyways

its not for here

back to math

[ember goblet]

Ayami, I was here like 9 months before you are
||Please don't talk about me much here||

[lime rain]

@ember goblet Why are you both 14 and alcoholic? 😭

[lost crater]

"How to test whether one knows Analysis? The answer is to test whether he knows Fourier Analysis.
How to test whether one knows Algebras? The answer is to test whether he knows Tensor Product." -- professor Zhu Yongchang

[lost crater]

yet another ust personality

[leaden torrent]

what do you want to do with your math degree?

the course offerings do look quite limited - there seem to be a couple rotating topics course so the advanced material is there, but its intermittent and not really in high quantity (you'd be able to take like 1 or 2 a semester in your upper years)

if your goal is graduate school in mathematics i would consider it (sadly) insufficient

but if your goal is to earn a bachelors while getting a bit of exposure to advanced topics in the process, then it seems fine

my main concern is that the actual pathway to interesting mathematics seems really slow logistically

calc 1 → calc 2 → linear algebra → intro proofs all have to be taken before any real analysis/abstract algebra

and thats a prereq chain so 1 semester each

that means that you'll only start to see introductions to specialist topics in your 3rd year

idk if theres ways to speed that path up though, a lot of schools offer alternate pathways for math majors

im just looking at the course catalogue

and for a math major you'd be spending 2 years doing "the math everyone takes" before getting into "the math a math major learns"

which is just super slow (and boring IMO)

[ember goblet]

Because my lifestyle is dogshit

[neat lintel]

You should drink from gabriel’s horn

[lime rain]

What are you majoring in?

[lime rain]

I don’t think you can even place that down on earth

[lost crater]

habuki not even majoring in anything

still in high school sitting in at ag lectures

[neat lintel]

Point it somewhere in space

[ember goblet]

Maths

[ember goblet]

Well, the volume is too small to handle the amount of alcohol I need in my life

[neat lintel]

It’s not a problem if you use methyl alcohol instead

[ember goblet]

Well sure

[ember goblet]

Also, why are you here, get out

I'll not be personal but don't stick your nose where it doesn't belong

[lost crater]

i found this server somewhere else

[ember goblet]

The thing is you always don't know when to shut up

[eager quail]

Guys it's okay to distance and not talk to ppl u don't like or enjoy. I only like engaging wit the people I truly love and care about, not the people I don't. And the people that truly love and care about me. Screw everyone else, lol.

[ember goblet]

In a nutshell, he talked about some private stuff in a public server before

So I just had to warn him to mind himself

And before you ask yes it is related to me

[shrewd notch]

Why is there a Gothamchess emote here or is this actually someone else who look exacly like him?

[raven plaza]

It's not a gothamchess emote

It's an uponthewitnessing emote

[shrewd notch]

https://www.thebiohindi.com/wp-content/uploads/2022/08/Levy-Rozman.jpg They must be twins

[raven plaza]

His full name is uponthewitnessing chess

[bronze pelican]

Blame wew lads

[shrewd notch]

I am getting bamboozled

[clear fox]

What do you guys do for fun in math class when you finish your work (no phone)

[neat lintel]

cook food

[jagged forge]

no it’s harry potter

[neat lintel]

sleep

when i was in high school and the teacher wouldn't let me go on my phone or play on whatever handheld game console i'd just sleep

[jagged forge]

i just slept for 8 hours after averaging 5 hours during the week

[neat lintel]

sometimes i'd do the homework for other classes too

[jagged forge]

i did other math for fun in math class

instead of my homework

probably wouldn’t have gotten a C in multivar calc if i did hw

[fresh comet]

other homework, read a book, stare out the window idk

[neat lintel]

at some point i just started going home

because i lived close to the school

attendance taken at the start so i only had to be there at the start

[jagged forge]

lmfao

[neat lintel]

What are your(ČEveryone) favorite fitness weight lifting youtubers?

[lunar python]

You guys finish work? My teacher just yaps at us for 50m abt number theory

[leaden torrent]

might have better luck asking in #1207411538650992701

[south kelp]

me when witnessing a 1660 lose a queen on move 6

[tame egret]

no, its Levi or is it Levy

[tawdry pecan]

no arki is right

[south kelp]

his name used to be Levi Chess, but he got it legally changed after seeing his popularity as an emoji on mathcord

he's also distancing himself from his father Garry Chess, inventor and shill of ch*ss.com.

[neat lintel]

We don't have work in class. its just lectures

[clear fox]

lol my bros I’m in high school and you guys all know about what happens in college

[latent edge]

You die

[clear fox]

What?

[fresh comet]

[neat lintel]

we cease living

[neat lintel]

That looks like Deltoid behavior as well

[jagged forge]

lol

[latent edge]

During high school?

If the class gets boring I just move out to the last row feigning like I'm very focused in the class while in reality I was just reading off from my complex analysis book

If I cared enough about my English teacher's weird ideologies and his bizarre political views that would make him get arrested so easily I wouldn't end up with a D in English I think

[neat lintel]

I didn't really do math in high school

I hated it so much

Top 1 hated subject lol

I either went scrolling over insta or leave the class

[fresh comet]

so what made you change your mind?

[neat lintel]

Mathcord and Deltoid

[fresh comet]

why'd you join mathcord?

[neat lintel]

For homework

[narrow mantle]

have you ever had teachers that are good at teaching math?

[fresh comet]

I see

that means you went from hating math to doing AnaNT in less than a year though

very impressive

[neat lintel]

I had one that kept talking about how badly he's getting paid when he was getting paid the most

[neat lintel]

I still can't do anaNT properly

[narrow mantle]

oh

[neat lintel]

I'm lacking a lot of prereqs

[fresh comet]

you're certainly learning faster than I am lmao

[narrow mantle]

what is AnaNT

[fresh comet]

analytic number theory

[neat lintel]

Idk about that tbh

But yeah I think I could be learning way slower if I was attending an university

[fresh comet]

[fresh comet]

if this was a question directed generally, then the answer would be a resounding yes for me

[narrow mantle]

you're lucky

[fresh comet]

I've been lucky enough to have many, many good teachers in my life

not just for math

[narrow mantle]

i never had as most of my math teachers are ok/bad at teaching

[fresh comet]

yet here I am, still being an idiot

[narrow mantle]

i did a lot of self-study

[fresh comet]

self-study is good

my teachers were all well-motivated and good explainers

I got very lucky

[neat lintel]

I had a teacher from Waterloo. He was the absolute worst teacher ever

[fresh comet]

ah-

I don't think any of the teachers I had in high school went to UWaterloo

[neat lintel]

Now I see why you are lucky

[fresh comet]

I wonder if your experience (and Deltoid's) is widespread around canada

[narrow mantle]

̶s̶a̶m̶e̶

[fresh comet]

I don't know how lucky I got because I haven't really known much else

[narrow mantle]

What is with UWaterloo

[fresh comet]

I don't know tbh

ask @neat lintel

[neat lintel]

yikes

I'm good

[fresh comet]

lmao

[narrow mantle]

when i took a philosophy class i never expected that it would be a memorization class
I was disappointed

[fresh comet]

[neat lintel]

ill make sure to be a better waterloo teacher for you guys

[visual breach]

Are you becoming a professor

[fresh comet]

you're heading into education?

or considering it?

[narrow mantle]

I don't want to become a teacher even though I like the idea of teaching

[dusty briar]

i would be more interested in teaching if it was 40 years earlier heh

[ripe needle]

At my uni, grad students are required to teach UG courses for example Calc 1 and Calc 2, maybe that

[fresh comet]

I think that’s required basically everywhere

[visual breach]

Yeah it is

[fresh comet]

the prior discussion was about high school teachers though

[narrow mantle]

I don't want to teach students who are probably disinterested in math tho

[ripe needle]

I mean, no one does

[neat lintel]

Should I do a degree switch to chemistry?

[fresh comet]

we don't know?

no context lmao

[ripe needle]

Then the answer is obvious:

Yes.

[ripe needle]

You'll make more money that way

[peak tide]

depends on what you're switching from 😁

[ripe needle]

Oppenheimer majored in chemistry, right?

[ripe needle]

@surreal bison What are you studying?

[surreal bison]

Representation Theory (of semisimple lie algebras, probably will add in compact lie groups at the end)

Riemannian Geometry

i'll either pick back up and do the second half of hatcher's algebraic topology, the rest of the Galois theory in Lang along with the commutative algebra, the modules section of Lang, the second half of Conway's textbook on complex analysis, or perhaps something else

[ripe needle]

Oh cool.

Just wondering, I see you active all over lol

[surreal bison]

This is break me

Thus, lonelier me

what about you?

[ripe needle]

Makes sense!

[ripe needle]

I'm still undergrad, but I know I want to work in either digital signal processing or statistics, and intend to go to grad school for one of those. I still got a couple of years to decide.

Right now I'm just exploring everything Trying to get through a bunch of Set Theory topics and texts and then hopefully never have to deal with it again, but I feel the background in it is useful just for personal knowledge.

[surreal bison]

I'm also still undergrad

It is just that I think that me reading graduate textbooks probably counts as "beyond a typical undergraduate mathematics degree*.

I would never actually describe myself as a post grad, or even as doing post graduate mathematics (which to me sounds like doing research level mathematics, as opposed to merely intro grad level)

[ripe needle]

Yeah they are talking about readjusting the roles a bit

Graduate textbooks have the good stuff

After this set theory phase I need to dive back into Lang

[visual breach]

Welp, I wonder when I could become grad level

Maybe after I published several papers? Idk

[leaden torrent]

our process is kinda flawed since we ask people "what math do you do" and if someone says "numerical analysis" (or like, almost any other applied subject) we have no clue whether that means undergrad or grad level applied math

since the terms used here are broad and are used for everything from "a doctor who has spent the last 30 years of my life doing research on this" to "an engineering student who was assigned reading in their math methods 101 class"

at least for pure math its fairly easy to distinguish someone talking about "calculus" from someone talking about "stochastic calculus"

or "polynomials" from "algebraic geometry"

this is why we ask for examples of papers/textbooks theyve read recently

but we still cant claim to be able to judge everything 100% perfectly

[proven knoll]

if you're thinking of chemical engineering, you can make 6 figures

however according to the u.s. bureau of statistics, there are x10 more people employed in electrical engineer / mechanical engineer jobs than chemical engineer

whether the low employment numbers is due to low graduates or low job opportunities is something to be considered

i believe there could be better job opportunities elsewhere

source: https://www.bls.gov/news.release/pdf/ocwage.pdf

[glass peak]

Not in the US, but I was always told in school that chemical engineering is rough. Apparently there just isn’t that many jobs going and you’re quite specialised so I think it is probably the job opportunities issue

Equally though like MechEng and EE are some of the most employable degrees full stop. I think after medicine they might actually be the most employable (in the UK at least)

So most things will pale in comparison to those. But ChemEng being hard to find jobs in is definitely something I have been told

[fresh comet]

<@&268886789983436800>

[mental stratus]

will clicking join lead me into trouble

oh wait what if all the mods clicked join and forgot to ban

[fresh comet]

[neat lintel]

i don’t think so, they can’t know you joined it if you use an alt

[mental stratus]

lead me into trouble with discord itself

[neat lintel]

probably not

they leave those servers open after all

theres the nsfw switch in server settings too

so they’re probably fine with this kind of stuff

[dusty moth]

Hello randos

[tropic egret]

a pour inverse
K'=λ(x0x1x2x3x4x5x6)(x0x3(Wx4)x5)
De manière plus générale soit:
W'=λ(x0 … xn) (x0∗∗(K1 xf(1))∗∗(K2 xf(2))∗∗ … ∗∗(Kn xf(n))∗∗)
où ∗∗ représente des termes quelconques ou des variables dupliquées et où les Ki sont des termes inversibles à gauche admet comme inverse à droite:
K'=λ(x0 x1 … xp) (x0(WG(1) xG(1)) (WG(2) xG(2))…(WG(n) xG(n)))
où p est le nombre total de termes de W', Wi un inverse à droite de Ki et où G désigne la fonction définie précédemment.

On constate donc que la recherche des termes inversibles à droite suppose connus les termes inversibles à gauche. Or l'exemple K' ci-dessus est inversible à gauche et utilise des termes inversibles à droite. Il apparait ainsi que la caractérisation de ces termes ne peut se faire indépendamment les uns des autres dans ce contexte .

L'étude des termes inversibles à gauche est plus délicate. Il est cependant facile d'établir que: Tout permutateur-projecteur régulier admet un inverse à gauche.

Tous les exemples d'inverses à gauche qu'on a donnés dans ce chapitre sont réguliers et n'admettent pas d'inverse à gauche sans l'extensionalité. Dans les théories sans extensionalité les termes inversibles à gauche ne sont pas réguliers à part I. On peut se demander s'il existe des termes inversibles à gauche avec usage de la règle d'extensionalité et qui ne sont pas réguliers. En voici un exemple:
K'=λ(x0 x1 x2) (x1 (x0 x2))
qui n'est pas régulier et pas inversible à gauche sans l'extensionalité admet ici comme inverse à gauche
W'=λ(x0 x1) (x0 I x1)
On peut donner maintenant une classe assez grosse de termes inversibles. Soit D0 l'ensemble des expressions de la forme
λ(x0 x1 … xn) (x0 X1 X2 … Xp)
où les Xi sont des termes ou des variables quelconques tels que n d'entr'eux représentent une permutation des variables x1 … xn. D0 est une classe de termes inversibles à droite. Soit G0 l'ensemble des expressions inversibles à gauche sans l'extensionalité. Définissons deux suites d'ensembles (Di)i∈ N et (Gi)i∈ N.
L'ensemble Di+1 contient les termes de la forme:
λ(x0 x1 … xp) (x0∗∗(K1 xf(1))∗∗(K2 xf(2))∗∗ … ∗∗(Kp xf(p))∗∗)
sachant que f est une permutation de {1,2,…,p} et que Kj est élément de Gi.
L'ensemble Gi+1 contient les termes de la forme:
λ(x0 x1 … xq) (x0 (W1 xg(1)) (W2 xg(2)) … (Wk xg(k)))
sachant que g est une injection de {1,2,…,q} dans lui-même et que Wj est élément de Di. Alors:

∪
i ∈ N
Di
est une classe de termes inversibles à droite et

∪
i ∈ N
Gi
est une classe de termes inversibles à gauche. Malheureusement ces classes ne caractérisent pas complètement les termes inversibles qui nous intéressent puisque l'exemple précédent n'en fait pas partie ainsi que l'exemple suivant:
K'=λ(x0 x1 x2) (x1 (x0 (W x2)))
a pour inverse à gauche
W'=λ(x0 x1) (x0 I (K x1))
car
W'(K' x0) x1 = K' x0 I (K x1)
= I (x0 (W (K x1)))
= x0 (B W K x1)
= x0 (I x1)
= x0 x1

[solid snow]

do not post walls of text

[neat lintel]

that's crazy

[zealous garden]

insane

[mental stratus]

what language is that

[cinder zephyr]

French I think

[mystic ivy]

not readin allat

happy for you or sorry that happened

[tropic egret]

I made a mistake in the development

[tropic egret]

c'est exact exactly

[bright hill]

inchresting stuff!

do you usally study only 2 grad topics or do you do more?

coz I'm studying like 3-4 and I'm not sure if I'm spreading myself too thin

[bright hill]

yea

[true trout]

hello

can anyone here help me

with a few math problems

[neat lintel]

!da2a #❓how-to-get-help

[quasi jetty]

No need to ask “Can I ask…?” or “Does anyone know about…?”—it’s faster for everyone if you just ask your question! See https://dontasktoask.com/

[surreal bison]

2-3.

past history would say 1-2, but recently bumped to 2. One wonders if it'll be 2-3.

[late shell]

yo this might seem completly random

but like

what colleges did yall get into and what acheivements did u do in hs to get there

im tryna understand what to do i need helellp

[mystic ivy]

harvard

established a drug empire

[tropic egret]

I like F.B.I

[warped linden]

See mom, I told you drugs could get me into harvard

[neat lintel]

MIT. Designing a cost effective, efficient and autonomous way to kill people for the military industrial complex

[rapid wasp]

how do I find the vector AB when OA is -5i+4j and OB is 5i-5j so what can vector AB be ?

[visual breach]

Is this riehl

[neat lintel]

O being the orgin?

[rapid wasp]

yeah

but I think I have figured it out

thanks for offering the help

[sour temple]

man
MOBAs are not great for your mental health
especially if allies are feeders

[lapis jungle]

learn how to not get tilted

[sour temple]

what is tilted

[lapis jungle]

dont soloqueue

[lapis jungle]

mad

which affects your performance

[sour temple]

my friends are always offline

[lapis jungle]

get more friends

[sour temple]

i have like 209

[lapis jungle]

get 210

and when its not enough, get 211

[ocean harbor]

I have like 66 friends and only 40 of them are online

well, most of them are boring except like 10

[neat lintel]

I only have 46

[ocean harbor]

mhm that's not bad

as long they care

[neat lintel]

and only 14 of them are online

Seven tears are flowing into the river, and six of them are mine

[bright hill]

wtf does this mean

[neat lintel]

Song lyric

[bright hill]

that doesn't answer my question!

[neat lintel]

Songs are not supposed to have meaning

[bright hill]

bruh

my whole life is a lie

[vernal token]

Btw @storm sage how do you write infinity, \geq, ... signs

Did you set extra keys for these on your keyboard?

[solid snow]

memorize the alt codes

≥ is alt + 242

[vernal token]

What do you mean + 242

How do I do that

do I hold alt

Then type 242?

[solid snow]

yes

[vernal token]

Doesn't work for me for some reason

[solid snow]

i think it has to be with your keypad

[vernal token]

Oh, I don't have a keypad

[solid snow]

let us wait for eric to respond then

[vernal token]

I have one of these tablet keyboards

[solid snow]

[vernal token]

There is an alt key as you can see

but if I press or hold it, it just switches tabs

[ocean harbor]

have you tried with shift key

[vernal token]

Doesn't do anything

"$"

[rustic mountain]

hii

whats happening?/

[alpine comet]

are you sure it's US keyboard layout?

the config in your computer I mean