serious-discussion

[vast surge]

Whoops

My bad

[static loom]

death!

instantly!

[vast surge]

I thought it was like how \& displays a & in LateX

[leaden torrent]

correct, it changes the display

but it still functions as a ping

[vast surge]

Ah.

[leaden torrent]

i.e. it's an escape character

[vast surge]

Shitty way to learn that

Would putting it after the @ break it?

[leaden torrent]

presumably yes just because it breaks the syntactic formatting in general

but i wouldnt want to test it

[vast surge]

Why would they have it just break the display, but not the functionality?

If anything the other way around seems far more useful

[gusty socket]

no it doesn’t change it i don’t think

i think it still pings them

[vast surge]

For that matter I had to use multiple backslashes in this message to get the display right, so it's definitely applied inconsistently

[gusty socket]

i think i tried this and it pinged them by accident

[leaden torrent]

no its perfectly consistent as an escape character

\ before a special character (i.e. one with markdown meaning) acts as an escape for markdown functionality even if its not actually escaping anything

[vast surge]

But I wanted to escape the functionality, not the display

[leaden torrent]

well \ is part of markdown

so it only escapes the markdown syntax

the ping functionality is separate

and part of discord proper

like text formatting and actual content of the message are 2 different things in discord

text formatting is done by markdown

\ is only an escape character for markdown

[wanton coyote]

there is a funny glitch you can do with pinging people

[leaden torrent]

putting \ before any special character (outside of a code block) will suppress the character's markdown functionality and hide the \

[wanton coyote]

like make your message have a ping in it, but the ping message itself won't show up

[leaden torrent]

even if that character doesnt actually have markdown functionality

like afaik & doesnt do anything in discord markdown

but \& still attempts to "escape" the &

so it renders as just &

[vast surge]

I think using \ to break code-blocks prevents me from sending messages

[wanton coyote]

a very sneaky trick ||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||||​||_ _ _ _ _ _ _ @vast surge

[vast surge]

I was going to ask a question about triple-open-quotes (the ones below the tilde), but used \ to block them, and it turned my "enter" key into a carriage return instead of sendiing a message

Took me a while to figure out what was going on

[tiny forge]

You can do that with backticks, @moderators

[vast surge]

That is good to know.

[hidden isle]

\ g

[topaz surge]

Let's move to here @vocal vessel so we can talk easily

[vocal vessel]

🥸

[topaz surge]

Muhammad has taken on my name and pfp

A good first step to world domination

[vocal vessel]

I noticed

[topaz surge]

I feel that MathsBoy is a fitting army for a maths server

[quartz sluice]

Nah bro

we should become yodas

es

that is the way

[vocal vessel]

No

Yoda is weak

[topaz surge]

Bro you don't even talk like Yoda ;-; smh

Didn't even commit

[quartz sluice]

then malevolent anarchist was also like e

[quartz sluice]

this helpful has not been hmmm

[vocal vessel]

Antichrist not anarchist.

[quartz sluice]

oh shi

sori

[topaz surge]

Antichrist is republican?

[quartz sluice]

me misspelled e

[vocal vessel]

Tremble in fear.

[quartz sluice]

sure lol

[vocal vessel]

Hell no 😝

[topaz surge]

Tbh you kinda give anarchist vibes

As do I

[quartz sluice]

THE LIGHT BE UP AS SEE BY US

yes

[vocal vessel]

I can be both

[quartz sluice]

oki

[quartz sluice]

bro

[topaz surge]

Republarchist?

[quartz sluice]

lets just be anarchists

yes

[topaz surge]

Anblican?

ANGLICAN?

[quartz sluice]

bro

you ok?

[vocal vessel]

Anarchist antichrist

[topaz surge]

Just rambling humerously

[vocal vessel]

Never republican

[quartz sluice]

https://tenor.com/view/yoda-star-wars-gif-16452356357908045529

[topaz surge]

But, to the meat of things

Malevolent, old buddy old pal

Do you desire to join the triumvirate of Maths

[vocal vessel]

I won’t change my name

[ocean harbor]

epic embed fail, laugh at this user

[topaz surge]

;-;

[vocal vessel]

Plus I’m rubbish at math

So it’d be a lie

[topaz surge]

Understandable. I shall not force your hand, your decision is your own

:D thanks for your time anyway

[vocal vessel]

I support your movement tho

[topaz surge]

:D appreciated

Any thoughts on who might be interested?

[vocal vessel]

Much better than the discussy bustiers or whatever it’s called

[topaz surge]

;-; what is this, I have never heard of it

Discussy bustiers ;-; ugly name

[quartz sluice]

sure lol atleast thought of it tho q

is anyone of you indian

[ocean harbor]

https://tenor.com/view/epix-image-perms-gif-20444679

[topaz surge]

Nah Straya mate

[quartz sluice]

okie

[ocean harbor]

I got some indian friends

https://cdn.discordapp.com/emojis/1048660781123780749.gif?v=1&size=48&quality=lossless

[sly flint]

Yeah.

[woven basalt]

i'm so sad emily, now we have to wait 4 more years!

[flint basin]

Out of 180k people? Probably not.

[jagged forge]

can you believe if you choose a random person on earth the chance they’re Indian is like 20%

and the chance they’re Chinese is like 20%

[sly flint]

Pretty believable.

[pulsar pagoda]

chances their from latin america?

[jagged forge]

just under 10%

[pulsar pagoda]

damn

i gotta get my mom a grandchild soon

said no one ever

[alpine comet]

that has become significantly harder the moment you joined this server

[pulsar pagoda]

i need to touch grass

fr

[alpine comet]

I spent an hour debugging my implementation of Ukkonen's algorithm, and the mistake was because I typed suffixnewNode instead of suffixNewNode

God damn Python didn't raise any error

[wanton coyote]

[last creek]

Were you trying to access/set an attribute or something?

[fervent flame]

deserved for camelcase in python

[ocean dove]

hello

[young swift]

Hey going back to this - I can apply for the MSc in DS this year, but the stats MSc would require another year of pre-req papers. Would it be frowned upon to apply for the DS, and then again next year (for the stats) if I dont make the cutoff?

[thorn crater]

so cuteeee

[sage prawn]

weak language

[thorn crater]

Did you guys have dinner?

[viral condor]

which is strong one?

c++?

rust?

[sage prawn]

Yes.

[viral condor]

as I expected

[sage prawn]

To be fair it's all depending on the project

Use the right tool for the job

that's what I go by

[viral condor]

agree

[sage prawn]

I like statically typed languages more and having a lot of control over memory

Since I am aiming for reverse engineering

[uneven hound]

What you supposed to use spaces between?

[storm sage]

snake_case for variables

[uneven hound]

Hmm thank

[vocal vessel]

SCREAMING_SNAKE_CASE for globals 😝

[sly flint]

Is anyone familiar with a resource that delves deeply into perlin noise?
Deeply as in it deals with the nitty and gritty bits of it's implementation.

[pulsar pagoda]

snak_case for constants

[tiny forge]

Coding train has some vids on perlin noise he might show or link to resources

[pulsar pagoda]

https://tenor.com/7TPU.gif

[vocal vessel]

I freekin love that guy

[tiny forge]

[vocal vessel]

Omg he has a discord server

Imma marry that man

[tiny forge]

Lol what are the chances he hadn't posted.for ages and now his most recent video is about a discord bot

[vocal vessel]

Oof javascript discord bot. Cursed.

[ocean harbor]

My midterms marks are

Especially in java

[last creek]

Finally, the data is clean and my will to live is restored

[fervent flame]

what was it

[last creek]

Just some really tedious manual fixing of data that has been recorded somewhat inconsistently

Hopefully we'll have a new system that doesn't allow users to add stuff directly to the database with no validation

[fervent flame]

data integrity moment

[pulsar pagoda]

ok

time to check that web assembly stuff now that i have the time

(cause now im procastinating on doing analysis by doing web assembly stuff)

[neat lintel]

[burnt ledge]

You are not beating the opportunist allegations

[candid oak]

Good evening/morning dear friends, I recently came across a research paper on ScienceDirect that is very relevant for my research topic, and would significantly contribute to my ongoing research. However, the website asked me to pay 29.9$ to get full access. As I am presently in the status of being a student, I am in no position that would allow me to pay for such amount. Therefore, I would appreciate it if you could, kindly, share with me some sources where I can find papers for free.

[solid snow]

email the authors

[gusty socket]

if you are a student ask your institution

[candid oak]

I just did, thanks ! However, I am not sure if I will get a reply by next week at most, or get a reply at all

[neat lintel]

can i dm you

i know where to, but mods will get mad if i share it here

something something piracy breaks discord TOS so they don't want it done in the server

[candid oak]

I honestly haven't thought of that, would my institution provide it to me without complications?

[flint basin]

It should

[candid oak]

I'm not sure if your idea is within legal norms, but I'm not going to lie, in my current situation I wouldn't mind unless it is very "harmful" to the authors

[candid oak]

Thanks for that, I will give it a try

[neat lintel]

it's either illegal with no victims (publishers aren't people) or within some gray area. i'm not an expert.

the money doesn't really go to the authors

[flint basin]

The money for papers goes to publishers

[neat lintel]

you wouldn't be doing any harm to them

[candid oak]

I see

[flint basin]

It's scummy that they charge so much anyways

[candid oak]

I honestly don't know what to say

[neat lintel]

just yes or no

[candid oak]

what do you think ?

[neat lintel]

do u want free papers or no

[candid oak]

well

[candid oak]

that's another question for which the answer is yes

okay I'm not going to just keep expressing my confusion

Tell me how I can get free papers

[flint basin]

Everything is free with a stolen credit card

[fair mural]

woah a user that still has the old identifier

[split pawn]

I've seen many w that

Anyway

https://tenor.com/view/manul-warms-his-paws-gif-24983769

[little vine]

Listen to my music. You should.

I'm using Euclidean rhythms in the drums

[brave shell]

Not half bad.

[wanton coyote]

sounds very nice :)

[little vine]

I started making lyric videos too

[wanton coyote]

is that you singing?

[little vine]

Yeah

[wanton coyote]

you've got a very nice voice :)

[little vine]

Thank youu tbh I'm helped by autotune a lot because I'm pitchy

I should let you hear me live

🤮

[wanton coyote]

I can sorta tell more autotune in this song then the last one

[little vine]

Yeah I'm OK with that tho

It sorta fits the soundscape

[little vine]

I found a live practice video of this song

My new albums out too. It's older than my first album but got released second.

https://open.spotify.com/album/2SooQOO7qAPsvsuJi48XKz?si=BiWleFJ6TwWUMjsRmZZDYQ&context=spotify%3Aalbum%3A2SooQOO7qAPsvsuJi48XKz

[split pawn]

Yay!

Cali

[little vine]

[solar hawk]

damn

lowkey slaps

[little vine]

LOWKEY???

Just kidding. Thanks amukh

[valid dagger]

#help-69

[plucky kernel]

hehe

Ziggity-zaggity zorp! I've got a squadron of quokkas armed with glitter cannons and tickle feathers at my disposal. Your attempts at defeating me are like trying to juggle flamingos on a unicycle during a cosmic disco party. Prepare for a confetti tsunami, for you shall be engulfed in the whimsical chaos of my noodle-powered supremacy!

[forest yarrow]

bogos binted

[finite inlet]

ChatGPT ass speech

[wanton coyote]

sotrue

[plain island]

you sound like Owl City

this is intended as a compliment

[neat lintel]

Testing the direction of birth and development of the universe....

https://en.wikipedia.org/wiki/Conformal_cyclic_cosmology

[little vine]

Typical 2010s white guy singing😂

Yeah I've heard that one before

[kindred star]

help pls

[onyx garnet]

Help with what?!

[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.

[long matrix]

i think they need help writing a proper question

[onyx garnet]

k

[ocean harbor]

English class

[split pawn]

Funny classroom

[onyx garnet]

Yep!!

[split pawn]

Lol

[woeful zinc]

omg, a manul lover

[split pawn]

Yes

[golden cliff]

https://tenor.com/view/manul-pallas-cat-rolling-cuddle-cuddle-roll-gif-26410302

[sleek talon]

this is good and chill

[oblique kayak]

LOL

[ocean harbor]

why lol for?

[winged kite]

Hi, does anyone know of any university offering remote study scholarships for distance learning in mathematics? I'm looking for options in North America. I haven't found any yet but I'd like to understand better the selection process or if the positions are solely for on-campus attendance.

[ocean harbor]

Canada doesn't have a good program for math

But I guess waterloo is best

or Toronto

[neat lintel]

what are you talking about waterloo has the best math dept

[ocean harbor]

https://tenor.com/view/cat-pacifier-kitten-black-cat-kitty-gif-17838044

[small dust]

daniCanBeatMe

[cinder zephyr]

is this in reference to a specific mathematician?

[winged kite]

Thank you for getting back to me. I managed to obtain some Microsoft certifications that could help me in applying to universities in the USA, but I don't have a visa, let alone TOEFL scores. Still, thank you anyway

[ocean harbor]

I don't know

[neat lintel]

[neat lintel]

it depends on what topic you're looking for

[fallow linden]

Does anyone have the pdf for Year 7 Mathematics Cambridge NSW Textbook?

[neat lintel]

You should search up on websites to find it

[sonic sentinel]

daily grindset routine: (1) wake up tired (2) go to school (3) come back home (4) spend 5 hours trying not to sleep (5) spend 3 hours trying to sleep

[pale cliff]

does anyone here know a good collaborative web whiteboard with math support like plotting functions etc?

[earnest sapphire]

What does a cover letter for a manuscript submission to a journal consist of?

[solar hawk]

😭

[last creek]

We should claim it for programming questions

[sage prawn]

I love programming

It's so fun

[inland hornet]

(6) get out of bed

[little vine]

I claim it for self promo

[solar hawk]

Fr.

How’s c++ goin

[weary mason]

hello

[ocean harbor]

hello!

how's it going

[ocean harbor]

I skipped cs class today

it was a reason cuz i did my osslt test

[misty aurora]

skip the whole semester

[ocean harbor]

ez pz

I can't ☠️

i got parents

[misty aurora]

its not ez pz?

[ocean harbor]

no it's like ez pz to skip the class if your school planned you to be absent

during this class

[solar hawk]

What’s that

[ocean harbor]

Ontario secondary school literacy test

[solar hawk]

Oh

[ocean harbor]

i failed it twice already ☠️

but i hope it will be pass this time

🙏🏻

[neat lintel]

You will do well, good luck

[split pawn]

Hi.

[hollow pollen]

did i tell you how i'm ryan gosling?

[split pawn]

Here's another place I've been to

[broken zephyr]

hey im thinking about where to go to college and im trying to figure out what i should be prioritizing. I plan to double major in computer science/engineering and mathematics. One school is top 5 for engineering and the other one is just okay. The just okay school i can go to for essentially no cost. The top 5 school will likely not give me any scholarships. What should I be prioritizing?

[steel fractal]

In my opinion, it depends on your financial situation

Whats ur financial situation?

[broken zephyr]

my parents dont plan to help me pay

or at least not very much

other relatives might have some money saved

the top 5 school isnt very expensive in comparison to other colleges of that caliber

purdue

[steel fractal]

Honestly I'm not sure what you should do

[broken zephyr]

thats alright

i dont need to decide for a while id just like to get some other perspectives

see if im thinking about it the right way

[cinder zephyr]

I mean

if you're set on ine software engineering or something

paying off the debt isn't too bad

software engineers make good good money, not hard to pay off debt according to some friends who have graduated

although no cost is tempting idk

[broken zephyr]

yeah thats what im stuck on lol

and the no cost university is in the same town that i live in

[finite eagle]

either go big or go home

debt is like a weed in a garden

it grows until you are able to pull it out

but the reason the weed exists is because you started a garden

and the garden may produce beautiful crops that are worth it

but are you good at raising beautiful crops?

if not then only the weed will live

and the weed and garden ended up being a failure

causing a big waste of time and regret

even if the crops turn out garbage

you can fake that they are good

many people sell nasty crops nowadays

what im trying to say is eat your vegitables

[sage prawn]

Going well

[sage prawn]

Man idk what to code

I'm currently doing my blog and posts for it

But I'd do some C++ tool

[topaz surge]

I don't carrot all

My celery isn't large enough to cover my debts

[split pawn]

Good.

Evening.

[vocal vessel]

@split pawn

[split pawn]

Yes

?

[vocal vessel]

Sup

[split pawn]

I'm okay

[ocean harbor]

Good morning

[split pawn]

It's night

[ocean harbor]

Oh I see

[split pawn]

Alright

[split pawn]

How are you?

I don't really stay around much

[ocean harbor]

dying inside

just got home

[onyx garnet]

Why?!!

[onyx garnet]

k

[ocean harbor]

please don't "k" at me next time

I don't like it cuz it's rude

[neat lintel]

k.

[pulsar pagoda]

[flint basin]

c

[neat lintel]

q

[onyx garnet]

I did not mean to be rude, that is how I type sometimes! c:

[onyx garnet]

They did it with a dot so they are fine.

[wanton coyote]

o

[burnt ledge]

r

[neat lintel]

​

[burnt ledge]

b

[wanton coyote]

o

[onyx garnet]

r

[burnt ledge]

_ _

[neat lintel]

j

[wanton coyote]

o

[burnt ledge]

r

[wanton coyote]

r

[burnt ledge]

_ _

[static loom]

https://tenor.com/view/the-isle-the-isle-humans-the-isle-human-update-the-isle-mercenary-the-isle-mercenaries-gif-25291810

[wanton coyote]

hi Mero :)

[flint basin]

k.cqor bor jorr

[wanton coyote]

h-hi ry x

[storm sage]

ahhh tired

[burnt ledge]

We did it Reddit!

[marsh basin]

Guys anyone want a challenge

[sonic sentinel]

bro took a vacation to desktop background

qatar looks like garbage but there'll probably be a time when im out in another country and i'll miss the "qatar aesthetic"

posted in #chill

[ocean harbor]

In what?

[gusty socket]

is it another multiple choice nonsense question

[split pawn]

Hi.

[proud olive]

Hicel

[split pawn]

Edward, what's good?

[proud olive]

Not my screen time that's for sure

Hbu?

[split pawn]

Oh haha

I'm okay

[bronze jetty]

tired of being in Iran

[dull bear]

Anybody know methods to create a function using coordinates, that does not involve matricies?

[bronze jetty]

matrices are just representations of the thing your'e dealing with

[dull bear]

I know, but ive already modelled a function using matricies, and i need a different method to show complexity for my paper

[bronze jetty]

idk

[glacial panther]

how do i talk in math form

[raven plaza]

∀±≧≫ ∈∮≪≧ ∨∠∞ ⊃∩∑ΙΛη, ⊆∮⊅ΙΘ⊅∇∥∞∆‰.

[ocean harbor]

#latex-help

Oh oops I though it was help forum

[split pawn]

Use Godel numbers

[ocean harbor]

My cs teacher isn't here today

https://tenor.com/view/viralhog-grandma-dance-back-pack-dance-funny-the-floss-dance-gif-12380630

[neat lintel]

[sullen sand]

does anybody know where the term "kernel" came from

i tried googling it and couldn't find anything

nvm i found something on stack exchange lol

[little vine]

It's a little nut that you can shrink to be 0

That's what I always thought

[solar hawk]

what an amazing answer
The word kernel means “seed,” “core” in nontechnical language (etymologically: it's the diminutive of corn). If you imagine it geometrically, the origin is the center, sort of, of a Euclidean space. It can be conceived of as the kernel of the space. You can rationalize the nomenclature by saying that the kernel of a matrix consists of those vectors of the domain space that are mapped into the center (i.e., the origin) of the range space.

I think a somewhat analogous rationale might motivate the designation “core” in cooperative game theory: It denotes a particular set that is of central interest. (In this case, it denotes—loosely speaking—the set of such allocations among a given number of persons that cannot be overturned by collusion among some of them. This property lends the core a sense of stability and equilibrium, which is why it is so interesting.)

now i understand the kernel just a little bit better

[sullen sand]

yeah, i always imagined the kernel as this blackhole in euclidean space which sucks up everything in it lol

[solar hawk]

lol

i imagined it as a 1/2 of the domain

and the rest of it was the portion that mapped to the range

[sullen sand]

oh huh interesting

why 1/2?

[neat lintel]

because sum n = -1/12 = 1/2(-1/6) (there is a 1/2)

[sullen sand]

ohh got it, that makes complete sense!!!

[solar hawk]

not 1/2, but a half

like two parts, i mean i imagine the kernel smaller for sure but

it is one half, out of two, (kernel, range in domain)

idk

[sullen sand]

no yea lol that's fair

[solar hawk]

xd

[sullen sand]

BUT YOUR KERNEL SHOULD BE A DOT ON THE PLANE IFF IT'S INJECTIVE!!!!!!

nah jk jk lol

[solar hawk]

lol

[glass peak]

<@&268886789983436800>

[vast surge]

I always imagine the kernel as the preimage of 0

[rocky shuttle]

<@&268886789983436800>

[neat lintel]

damn, the definition of the kernel is THAT controversial?

[brave shell]

And to think, this discussion of the kernel was all for nothing

Lmao gottem

[sleek pagoda]

assuming I know e^x is irrational for all rational values of x, can I say that because e^ipi=-1 i*pi must be irrational therefor pi is irrational?

[brave shell]

i pi is irrational anyway because it's not a real number.

But i*x being irrational says nothing about if x is irrational in that case.

Actually, I think most people define irrationals to be strictly real. Either way, I think the theorem you're referencing doesn't work.

[sleek pagoda]

well can't you extend rational to complex numbers?

Like says z is rational if and only if

it can be written as a+bi/c+di where

a,b,c,d are integers(regular)

[brave shell]

You'd have to prove your statement about e^x under your new definition of rationality.

[sleek pagoda]

yeah

I'm assuming that to be true

[plain island]

yes, but you can do it by just saying a + bi where a and b are rational numbers

[sleek pagoda]

ok

wait

this doesn't work

[neat lintel]

[storm sage]

Under this new definition of "rational" and "irrational" which includes complex numbers, then yes

[sleek pagoda]

5 is no longer prime

cause

2 "integer" numbers

can multiply into it

[storm sage]

TimesZeroed: look up the Gaussian integers, noticing that some primes become not-primes when you go into the complex numbers is the beginning of a field known as algebraic number theory

[sleek pagoda]

ok

[storm sage]

Good observation! (2+i)(2-i) = 5

[sleek pagoda]

so

[storm sage]

I think this is not relevant to the definition of rational/irrational though

[sleek pagoda]

it's not broken?

[sleek pagoda]

oh ok

I thought that if prime numbers change

then maybe irrational numbers change

[brazen wagon]

Cooool

[candid oak]

Greetings, everyone. I am inquiring if there is an individual knowledgeable about the Optical Character Recognition (OCR) technology utilized in the Snipping Tool within the Windows 11

[neat lintel]

Help me pleaseee

Dice can also be (regular) dodecahedrons, which consist of twelve equilateral pentagons. Their sides are then labeled with the numbers from 1 to 12, whose opposite sides add up to 13.
How many such dodecahedral cubes are possible under these conditions?
Thats a Question my 12 grade teacher gave me for homework but i cant seem to find an answer

#❓how-to-get-help

[earnest sapphire]

When I go to college (if i can get in), is it recommended to retake all the math courses: calc 3, lin alg 1, alg 1, complex var?

I'm looking over the topics the universities cover, and I'm only missing 1 topic at most. I'm not sure how essential those are though.

For example, for lin alg 1, the only unfamiliar topic is "bases and coordinates", so I'm not sure if these missing topics are something that I can learn before entering or should I completely retake the class?

[solar hawk]

I mean how are you familiar with the stuff after bases and coordinates if you aren’t familiar with bases and coordinates

[neat lintel]

if you could better use that time then better use that time

[earnest sapphire]

sorry, just looked it up. Forgot the definition

[solar hawk]

Oh ok

[neat lintel]

taking a class that depends on X is a good way to relearn X

you don't need to take the class on X if it's just a few things you're not completely familiar with

[earnest sapphire]

Ok because I don't remember macluarin series/taylor series off the top of my head either from calc 2 and I haven't used them in ages, so it seems a bit vague

[neat lintel]

as long as you get the general idea

f(a) + f'(a)(x - a) is the best linear approximation to f(x) for x near a. this is the definition of the derivative at a. what about the best quadratic approximation? cubic? polynomial of arbitrary degree?

[solar hawk]

Power series!

?

[little vine]

I was amazed by Taylor series when I learned about them

[solar hawk]

Fr me to

[neat lintel]

sure, power series! you might expect that the approximation gets better and better as we keep adding higher and higher degree terms

sometimes it does, and it's good enough to give us the original function

[solar hawk]

:o

[neat lintel]

functions like sin x and cos x are the classic examples

classic nontrivial examples

[solar hawk]

e^x too

[neat lintel]

of course

[solar hawk]

Oh

[neat lintel]

sin x and cos x were just the first that came to mind

[solar hawk]

Yeh

e^x is basically trivial anyway

[odd pasture]

you guys in university/college?

[solar hawk]

No

[little vine]

I wouldn't say trivial

[solar hawk]

I mean idk but the series expansion of it is basically directly from the definition

But sinx and cosx are harder

Harder I meant

[odd pasture]

Highschool?

[little vine]

I see what you mean

[solar hawk]

I am, they aren’t

Cali and I think also tteppa are already graduate

[little vine]

Yes

[odd pasture]

you are on a whole other level than me then dude

[solar hawk]

You’re right.

I need to@climb the ladder

[odd pasture]

are you north american?

[solar hawk]

[earnest sapphire]

real humble

[solar hawk]

Yeah I life in NA

[solar hawk]

Wdym

[odd pasture]

american?

[solar hawk]

Yeh

Wait

Wdym

[earnest sapphire]

sarcastic comment based on what you said

[solar hawk]

Oh lol

[odd pasture]

oh dude

[solar hawk]

I mean

Everyone is American if they were born in America

I was born in America

[odd pasture]

no im just curious because u seem so far ahead of me education-wise

[earnest sapphire]

grade?

[little vine]

Amukh is just motivated

[solar hawk]

9?

[odd pasture]

ur trolling

[solar hawk]

Y I BE WUESTIONSED 😭😭😭

[solar hawk]

Fr I jus “ily maffs”

[little vine]

That's all it takes. Wanting to know what higher math is about

[solar hawk]

I’m not even good it’s just a hobby

[earnest sapphire]

oh you're young, i'm already in 12

[little vine]

How do you do on tests in school?

[odd pasture]

nah im pretty sure i dont have the mental capacity

[solar hawk]

Good since it’s a hobby

Yk

I mean it’s more than a hobby

[earnest sapphire]

not really, i like it somewhat and just float through math courses cause i don't like to memorize

[solar hawk]

But you get the idea

[little vine]

Yeah

What math are you in? Just LA?

Or are you in algebra 1 or algebra 2

[odd pasture]

linear algebra is harder than calculus right? or am i mistaken

[earnest sapphire]

abt the same, both are relatively straightforward if you have a good foundation

[neat lintel]

at the basic computational level linear algebra is easier

you can only row reduce so many times before it's burned into your brain

but integrals can be fucking anything

[odd pasture]

yeah having a good foundation is a huge part i can tell

usually in my case when i run into a problem its something i forgot from the year prior

[solar hawk]

Depends on wich

[solar hawk]

Geometry + LA

Sorry I tabbed out for a bit

[vale plover]

https://en.wikipedia.org/wiki/Vladimir_A._Zorich

TIL vladimir zorich (author of two volumes on real analysis) died a few months ago

[visual breach]

Oh..

[echo tundra]

rip

[neat lintel]

May he rest in peace

[solar hawk]

Rip

[sly flint]

May peace be upon him

[opaque dew]

I was reading about Information Theory. It makes sense to me now in 2023. But how did Claude Shannon come up with this in 1948? He was the first one.

How does someone come up to a completely new thing for the first time?

[inland hornet]

i don't think anyone has an answer to "how does one come up with something"

the world if we had a single way of finding out things

a lot of tinkering around, seeing patterns, etc

[burnt ledge]

it all depends on the context of the work they were doing before, the problems they were trying to solve

[opaque dew]

I sometimes wonder, I won't be influential like Shannon in my life around the stuff I like. I know a bit of overthinking but still.

[burnt ledge]

thats okay

it takes ages of invisible incremental change before a massive influential change comes kn

everyone's doing there part

[raven plaza]

I think I finally understand what living in a simulation means

I keep seeing math topics in the server that I just saw recently irl

[ionic star]

it's not illegal

don't get caught tho

[zealous garden]

I can teach you my dark ways

[zealous garden]

True influence occurs after your death

Look at Confucius

Clifford

Galois

[topaz surge]

:0 GLaDOS

[burnt ledge]

shes still alive

[topaz surge]

She's doing science? :0

[burnt ledge]

and when youre dead she will be

[topaz surge]

:0 still alive. Does she feel fantastic?

[burnt ledge]

yep!

[topaz surge]

What a triumph 💯

[rocky shuttle]

it's so delicious and moist

[neat lintel]

You think long and hard about it instead of watching anime all day

to be fair you need to have some predisposition for thinking long and hard about something

That's why most people aren't geniuses

[hoary glen]

what is sin37

[fickle vapor]

sin(37)?

[odd pasture]

.602

[vocal vessel]

,w sin(37)

[fathom swallow]

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

Requested by malevolentantichrist

[split pawn]

You could just use 3/5

[ocean harbor]

(unit circle)

[split pawn]

[ocean harbor]

,tex .unit circle

[fathom swallow]

Akira (fumo)

[ocean harbor]

ah nvm lmao

[split pawn]

Happy/

?

[ocean harbor]

about?

[split pawn]

37 not being on the unit circle

I mean it definitely is

[ocean harbor]

i guess

[split pawn]

You jus gotta define it

3/5 as an approximate value

[ocean harbor]

ok

[split pawn]

Haha

[ocean harbor]

english literally killing me

[split pawn]

Why

[ocean harbor]

his handwriting

[split pawn]

My internet is kinda slow

[ocean harbor]

rip

[neat lintel]

Readable though

[ocean harbor]

yes but it's struggle when you start write an essay about it

https://cdn.discordapp.com/emojis/1019366393839374417.webp?size=128&quality=lossless

[little vine]

what class is this

[ocean harbor]

english

in canada they call it NBE3U

[little vine]

I see I see

undergrad?

[ocean harbor]

no highschool

[flint basin]

That's actually not that bad

Mine is worse

(or about this actually)

[ocean harbor]

[small dust]

this is what i have to deal with

[ocean harbor]

💀

[little vine]

oh my goodness

you win

Can still make it out though!

[wanton coyote]

cat

[neat lintel]

canadian spotted

leaf

[ocean harbor]

I got ghost ping

[plush zenith]

Bruh

[neat lintel]

We’ll never be alone again

[onyx haven]

are there any academics with decent handwriting

[brave shell]

They really love the number 370

[flint basin]

Yes, plenty

[little vine]

.e

Me

I like my handwriting

[flint basin]

.e

[little vine]

Gauss had beautiful handwriting it's known

[neat lintel]

my old commalg prof had nice handwriting

[jovial walrus]

any one here familar with entity relationship diagrams and nested relationships (because i am struggling here)

[pulsar pagoda]

for databases?

[jovial walrus]

yh

[pulsar pagoda]

have u tried

draw.io ?

also

what is it thats troubling u?

[jovial walrus]

umm, i dont need help drawing it, its just that this wording is kinda confusing

[pulsar pagoda]

ok

[jovial walrus]

can you dm?

[pulsar pagoda]

just post here

[jovial walrus]

ok

[pulsar pagoda]

someone else might be able to help as well

[jovial walrus]

This is the wording im confusing about "Where known, we also record for a given species the other species from which the given species evolved". So before this species laid out as an entity with attributes, which i understand.

But it is self referencing (i think) but idk how to show that on a er diagram properly

[pulsar pagoda]

junction tables

let me check some books

on ER diagrams

to give u examples

k?

[jovial walrus]

ok

[pulsar pagoda]

is there any particular normal form you are using for this?

[jovial walrus]

no

just a simple ERD with look here cardinality constraints

[pulsar pagoda]

im not finding nice figures

i know what im looking for just give me a sec to keep going through books

[jovial walrus]

no problem

[pulsar pagoda]

@jovial walrus

thats a little bit more complicated than ur example

but u get the idea

ill send u the book in DM

[jovial walrus]

ok no worries

[covert totem]

If anybody who has taken digital SAT, then was the SAT test in some software where you must download ir before the test day or did you do it on some random digital SAT website?

Asking from those who have taken the digital SAT with their personal laptops

[reef geode]

They do digital Sat tests now??

BACK IN MY DAY

[thick glen]

2 times 2 is 4

[onyx garnet]

Who wants a tarot reading?

: )

[restive cosmos]

Bru if theyre only doing 2 sections and digital, at least make the questions harder

[reef geode]

Petition to add calculus to the SAT /j

[neat lintel]

this but unironically

gotta make sure the kids suffer

:D

actually calculus isnt even that hard

theyd be fine

add some real analysis for the suffering though

:D

[split pawn]

We don't really use this one

[glacial glacier]

hey

[dire patio]

Quantum physics is the reality of a stethoscope dosing into ones skin. Each microfiber with the unity of molecules into the vaporized mechanics of ones artificial cells.

Omg..yohan is that YOU??

OMG…

[ocean harbor]

https://media.discordapp.net/attachments/578008840193310740/1130524378656944289/cattoastingexpanded.gif

[languid pasture]

Hello guys

[split pawn]

Hi

[flint basin]

wauw

me and who

[flint basin]

hey...

why is that :(

having campfire with friends is fun >.<

You guys are mean

[pulsar pagoda]

https://tenor.com/biHnp.gif

[fair mural]

i’ll go

[split pawn]

If anyone takes interest here's a question I posed to someone asking me for questions in a help channel. Made it myself so errors are regretted.

A tank of 0.6L is filled by two pipes of radii $r=\frac{3}{\sqrt \pi}$cm and 2r respectively, in 1 minute. Find the rate of flow in both pipes assuming water flows through both pipes at a constant velocity (in cm/s)

[vital meadow]

Are the 2 pipes used at same time or do they take 1 minute individually

[split pawn]

same time

[vital meadow]

Is it 5/9 and 5/36

[split pawn]

I didn't solve it for myself, I jus made it hol up Im busy rn

[vital meadow]

U should try it yourself when u get time cause I think the question has to give smth more to calculate the velocities . I just made a guess on that answer

[split pawn]

We didn't ask for velocities tho?

[vital meadow]

Then wdym by rate of flow

[deep mango]

i hope you freeze

[raven plaza]

^

[split pawn]

V/s

In terms of cc/s basically

The cm/s is units for the velocity

I mean it doesn't matter but I've seen PPL assume m/s as usual

[vital meadow]

||so the answer is 2,8||

[ocean harbor]

You and all discussiers

[flint basin]

They are catkings

[ocean harbor]

Internet moment

[fair mural]

wow ok ryx ignored me smh

[split pawn]

VPN makes it work

[split pawn]

WHAT AM I LOOKING AT

@ocean harbor

[prisma harness]

where ı can get help about geometry

[split pawn]

Merhaba

[split pawn]

@sterile cove

[prisma harness]

oh you know turkish

[split pawn]

I know a bit.

Well I noticed a Turkish i so

[prisma harness]

where are you from?

ı just know turkish and english(little bit of german)

[split pawn]

Doesn't really matter

I know a few languages

[ocean harbor]

#geometry-and-trigonometry

[split pawn]

You saw that Akira?

[alpine comet]

structure of the skin

wait, actually I'm not sure

[meager sonnet]

structure of the stem of a dicot plant

[copper mountain]

Please read, answer and send this to the International Mathematical Union:
Mathematics depends on the condition of evidence and proof, but there is no evidence or proof that confirms the validity of infinity within a scientific and realistic mathematical practice.
Mathematics is included in the academic classification as a science. This means that mathematics must be free of everything that hinders its existence as a science worthy of educational adoption. This requires the necessity of practicing it far from illusion and imagination. This means that mathematics must not contain the illusion of abstraction and the myth of infinity.

Why does the International Mathematical Union continue not to answer questions related to the history of mathematics, the philosophy and criticism of mathematics, or in particular those concerned with the criticism of infinity?
Why do mathematicians around the world avoid engaging in debates and discussions about the history of mathematics and the criticism of infinity?
What is the reason behind all this?
Best regards
Mohamed Ababou

Someone posted this in a server that I'm in! Want to know people's thoughts lol

I guess it's fair to say it's not a science then lol

[neat lintel]

pls

[sly flint]

What does he mean by infinity?

[copper mountain]

I'm not sure lol

I mean surely you can't do much science without infentecimals

[fervent flame]

without what

[copper mountain]

Aren't infentecimals $\frac{1}{\infty}$ unless I'm spelling it wrong

[fathom swallow]

Joshii

[solar hawk]

i dont think so

[deep mango]

Ababou is a well-known crank

[copper mountain]

Really? Lol

[copper mountain]

"In mathematics an infinitesimal number is a quantity closer to 0 than any standard real number, but that is not 0"

Wouldn't that be resembled as $\pm\frac{1}{\infty}$

[fathom swallow]

Joshii

[vivid halo]

no

[copper mountain]

Then what?

[deep mango]

Yes

[deep mango]

It's not a real thing

you should not pay attention to anything this person posts

[solar hawk]

1/infinity is not a real number, and the limit of 1/x as x approaches infinity is 0

[copper mountain]

Yes but infinity isn't a real number but we still refer it as infinity, then shouldn't 1/infinity be referred as infinitesimal?

[mint raven]

Debatable

[vivid halo]

an infinitesimal would be a "number" like epsilon with the property that epsilon is not zero but epsilon^2=0

there are no real numbers like this

but it can still be a useful thing to work with sometimes

[mint raven]

Only if it’s a number in the system you are working with

[solar hawk]

No, the closest thing you can use the “refer” to infinity imo is a limit, and I just said the result would be 0

Not a inf

[copper mountain]

Oh okay

[mint raven]

Unless you work with surreal numbers

[vivid halo]

nobody does this though

[copper mountain]

I've always heard people refer to to dx in calculus as "infinitesimally small" by always I mean from Eddie woo

Which is where I got the idea that , that meant 1/infty

[mint raven]

People should use systems that are at least as strong as the surcomplex numbers

And it’s sad they most people don’t

[solid snow]

Wdym by “strong”

[mint raven]

I mean that can do the same or very similar things

[copper mountain]

What are surreal numbers

[solid snow]

but what makes this system compelling to use

you said "strong" and then backtracked to mean "similar" to your pet number system

[mint raven]

My preferred number system can actually do more things the surcomplex numbers

[vivid halo]

lol

[solid snow]

but can you explain what these "things" you mention are

you just keep alluding to them

[mint raven]

It has both complex numbers and you can mess with numbers that are not finite

[neat lintel]

GTBOT is an ababou alt

[mint raven]

My system can also divide by zero but i don’t want to elaborate on that

[mint raven]

Who?

[neat lintel]

exactly

[solid snow]

and we care about messing with numbers that are not finite because...?

[mint raven]

I mean it’s not always needed

But the option to do such is better then not

And it doesn’t effect other things

So no reason not to make it default

[solid snow]

this almost surely DOES affect other things

[mint raven]

How so?

[solid snow]

well i cant say since you refuse to elaborate

[copper mountain]

https://youtu.be/eR23nPNqf6A?si=7T6VIN0QSkb2V8OX

[mint raven]

https://en.wikipedia.org/wiki/Surreal_number

[solid snow]

but from past experience with talks with you it almost surely lacks the nice properties that R or C have

[mint raven]

My system might not

But the surreal and surcomplex numbers do

[mint raven]

Unbased 0 ring

[copper mountain]

What does that mean

[mint raven]

The 0 ring is not based

[vivid halo]

the only good "number systems" are local or global fields

[mint raven]

What

[wanton coyote]

@fair mural

[fair mural]

hi

[green orbit]

what to do when u lose 60% percent of your math skills due to taking online classes and barely paying attention and not learning much so u revert to the math level of a 5th grader 😭

i was never bad at math in fact always have a's and b's but now i just can't even seem to do easy algebra

without certain memory of operations being completely deleted from my brain

[little vine]

Start where you are. Put in like 15 minutes of Khan academy a day catching up

[ripe needle]

Spend a month going through Basic Mathematics by Lang

[green orbit]

is that a youtube video

[ripe needle]

$41 on Amazon, textbook

[green orbit]

oh ok

thanks

[green orbit]

i found the pdf version for free\

[ripe needle]

It starts right around the 5th grade levels up to Pre-Calc

[split pawn]

That's TS of Dicot stem

[little vine]

How is it? I'm really curious

[ripe needle]

I feel most books of that category, i.e. college math/precalc, have this strange middle/high school feel. Even Calc I/II texts understand that most their students are pre-med, engineers, etc and have a similar approach.

Basic Mathematics comes at it from a mathematician focus and it feels a lot more formal, straight to the point, and just feels right, like purposely designed just for math majors

[north belfry]

Anyone know if Algebra1/2, Geometry and Trig courses on Khan Academy is enough to be ready for Pre-Calculus?

[ripe needle]

Speaking of, Basic Mathematics by Lang covers all of that AND Pre-Calc. $41 USD on Amazon or find the pdf online

[ripe needle]

I recommend it to everyone, my 10yo son is going through it right now, I use it whenever anyone needs IRL math help or tutoring, and I like to go through it and refresh on basic math from time to time.

[little vine]

Hey cool

[little vine]

I wonder if my wife will like it. She needs to practice for a college entrance exam

[north belfry]

Sweet thanks for the advice, I'll use that in conjunction with KhanAcademy

[ripe needle]

Mine used it for that exact reason lol but reluctantly, she said it was too nerdy for her taste. But it still helped and she's not a math major

She pretty much just went through Part I and a couple other random chapters in Part II and III

[little vine]

Thanks for the input. I'll consider it

[strong zealot]

Can every two sets of numbers have a function mapping one to the other?

[solid snow]

be more specific

[static loom]

sure there are |Y|^|X| functions from X to Y

[strong zealot]

Like if I imagined a random set {345, 78, 9009336,...} There should be function to go from n:1,2,3,.. to the set even if it's very complex

[solid snow]

sure, but what i meant by 'be more specific' is to pin down the nature of that function when you said "one to the other"

do you want it to be injective, surjective, maybe bijective?

[strong zealot]

hmm..whichever is one to one.

[solid snow]

these properties of the functions you consider depend on which sets you choose as your domain and codomain

[strong zealot]

N would be domain and the random set of integers would be the result.

[solid snow]

for this scenario, yes.

[strong zealot]

Is there way to get the function for any random set?

[solid snow]

what is "the function"?

[strong zealot]

The one which maps N to the set I described

[solid snow]

with your example you can just enumerate the values and have f(1) = 345, f(2) = 78,...

unless you're referring to the existence of an explicit or recursive sequence that describes the function

[strong zealot]

Well I meant like how we have function 2^n that connects N with exponents of 2

[solid snow]

i'd like to say this is something to do with computability but im too tired to be precise enough with my language to accurately describe it atm

[strong zealot]

What subject should I search for?

[solid snow]

computable functions

[leaden torrent]

this computability discussion seems orthogonal to the question first posed

the answer to "can i have a function with a specific rule" is "yes"

no matter what that rule is, as long as it maps each input to an output

it's a valid function

(in fact, you dont even need an explicitly stated rule - but if you're providing the codomain "set" in order, then that suffices)

(i say "set" because sets carry no actual order whereas it seems like you want your notation {345, 78, 9009336,...} to represent f(1) = 345, f(2) = 78, f(3) = 9009336, etc. respectively)

(you'd need some object with order - i.e. an ordered tuple - instead of a set to capture this notion)

(but that isnt a deficiency of functions, it's a deficiency of the way you stated your question)

[strong zealot]

Well I simply meant a formula or a procedure that plays with numbers such that it gets the resulting set from N. I think @josemom2 simply meant assigning f(n) to my set? Which is useless if that's what he meant.

[leaden torrent]

oh, thats harder to answer then

since part of it comes down to definitions - what operations do you "allow"?

if you want specifically polynomials, then there exists a polynomial function that extrapolates arbitrarily many points with distinct x values

[strong zealot]

Any operations that aren't magical in nature, like assigning different numbers to each other is something we do and the numbers cannot appear together naturally

[leaden torrent]

so for any natural n and any ordered tuple (a_1₁, a_2, ... a_n), you can construct a polynomial such that f(1) = a_1, f(2) = a_2, ... f(n) = a_n

this is known as polynomial interpolation

it does require finite n, however

[leaden torrent]

not really sure what this means.

[strong zealot]

What is the terminology that I should know for this topic?

[leaden torrent]

like i would argue that indicator functions "aren't magical in nature"

but they completely trivialize the question

(assuming you allow e.g. infinite sums or definite integrals, at least)

[leaden torrent]

high school algebra? like i want a list of operations you allow

addition, subtraction, multiplication, division, exponentiation, logarithms, modulos, absolute values....

etc

polynomials, for example, specifically allow addition, subtraction, and multiplication

(including repeated multiplication, i.e. natural exponents)

and nothing else

polynomials can interpolate finitely many points (n, a_n) but not infinitely many

you can generalize polynomials to work for some sets of infinite many points — look at power series for example — but this wont work always

e.g. there is no polynomial way to represent f(x) = |x|

[leaden torrent]

for a challenge, try to see if you can prove this (the finite part) as a corollary of the fundamental theorem of algebra

linear algebra is helpful but not necessary

[strong zealot]

they didn't tell me the word 'interpolate' in high school..

[wanton coyote]

think of interpolate as just 'passes through those points'

[leaden torrent]

yeah, i defined it here

[static loom]

here's an example of lagrange interpolation if you wanna fool around with it, just add whatever pts to the list to your hearts content: https://www.desmos.com/calculator/cnw2267yd2

important to see how bad this can get at interpolating

[leaden torrent]

yeah its not always a nice function

but it is a function that uses only "simple operations"

i.e. addition and multiplication

[static loom]

if you don't care about being exact and just approximating, the weierstrass approx theorem also lets you approximate any continuous function on an interval by a polynomial to arbitrary accuracy

[leaden torrent]

(in the real world, most practical applications look for polynomial fits, not interpolations)

(fits can be approximate)

generally, higher degree (order) means a "better" fit but a "less nice" function, especially if your goal is to extrapolate

in any case, thats not really what you asked about

[wanton coyote]

this is called overfitting also and its no bueno :(

that's a whole nother bag of worms though

[leaden torrent]

i kinda want basic gradient descent with validation to be part of high school curriculums

not for everyone but for students who are planning on going to university

it helps so much with mathematical intuition imo

i guess the problem is that students need to not be scared by derivatives going in

[static loom]

I guess the smallest step would be to get them to focus on newton's method more

in calc AB or w/e

[leaden torrent]

yeah thats probably more feasible

and you could probably teach high school teachers it

which is a bonus

i genuinely think being required to program stochastic gradient descent with validation in my 2nd semester of uni did a lot more for me than any math course i took that semester

in terms of mathematical development

plus it produces cool graphs!

[static loom]

yeah I think having more programming and more programming in math would be way more modern

[leaden torrent]

from my files, this actually made a lot of stuff "click" for me wrt overfitting and stuff

like i could understand the toy examples but not how it actually emerges

[static loom]

like start teaching python in 8th grade and have a class in it every year

[leaden torrent]

overfitting is rarely obvious in practice

even in this graph its only a very small trend

but it IS a real trend!

for comparison, here's the training loss from (i think) that run

[static loom]

cool

[leaden torrent]

i mean it is like, the most basic imaginable toy example

i am pretty sure every ML student has done something like this

but it was cool to see that the training loss looked like it was converging at a very normal and not-at-all-suspicious way

and would settle at around ~0.23

which doesnt set off alarm bells for overfitting

but then you look at the accuracy and are like !!

nowadays if i had to implement SGD i'd probably have to do a lot of googling just to like, get the matrix dimensions right and shit

but the broader point stuck with me pretty well

(also neural networks are a very cool immediate extension of this, but thats admittedly a lot harder to wrap one's head around)

[static loom]

I honestly don't know about that, actually putting in the time to work out the examples like this is something I think a lot of people skip

[wanton coyote]

i can't believe i redirected the entire conversation with just a silly comment

[leaden torrent]

i think this could teach other "good habits" as well

like before you can even talk about gradient descent you have to ask

"how do we determine whether a result is better or worse than another?"

i think a lot of people less used to the scientific method just kinda... take that for granted

[static loom]

manipulation skill path unlocked!

[raven plaza]

Manipulate your way up to pink role

[leaden torrent]

the idea of "start your science by defining a metric" is a very useful one IMO

that i think a lot of undergrad sciences fail to teach to students

[static loom]

yeah I think so too, especially biology feels tough

[leaden torrent]

giving them a context where theyre forced to explicitly define their performance metric (and where sometimes they need to re-evaluate the goodness/appropriateness of that metric!) could really help teach scientific habits

IMO

[static loom]

throw out the whole 'scientific method hypothesis etc' stuff and just say like, "ok we model this stuff and like if it stinks we improve the model" imo

[leaden torrent]

idk, i guess the problem with teaching basic ML is that it requires fluency in linear algebra and basic matrix calculus

[static loom]

and we do that by having some metric and measuring against it

[leaden torrent]

like it doesnt require you to know that much math

but it requires you to be really comfortable with the math it does require

you shouldnt be tripped up by what w^T @ x means or whatever

(not the notation but like, the idea)

[static loom]

yeah, although in my experience as a private tutor for advanced math highschool students for several years, the most LA they saw was adding matrices and just had to know the RULE for when two matrices could be multiplied, not even how to multiply them

[leaden torrent]

what

that seems pointless

[wanton coyote]

HUH

[static loom]

as in, they had to know "the inner indices were the same"

sometimes they'd be asked to compute multiplying some rectangular matrices and determinants of 2x2 matrices

but they weren't really expected to remember that

[leaden torrent]

why even deal with matrices then

i mean i think education is too focused on matrix-matrix multiplication in general

[static loom]

it was more just an exposure thing for college and I think the ACT covered it

[leaden torrent]

when matrix-vector multiplication is way more important in practice

and matrix-matrix multiplication is just composition

[static loom]

that and/or the math SAT subject test(s)

[leaden torrent]

but that might be my pure math brain talking

it always felt weird that matrix multiplication was introduced to me before they explained why

and then later they proved that it corresponds with linear function composition

in my second semester LA course the instructor approached it the other way in the "2-week beginning-of-course review" and it helped my intuition a lot

[static loom]

I don't really remember the exact order, although I do have a very clear memory of learning RREF and that made perfect sense to me since it was literally just systems of linear equations and so I could always just lean on that

[leaden torrent]

i.e. introduced linear maps, then showed that it corresponds to matrix-vector multiplication, then showed that we can represent composition of linear maps by a certain process on these matrices