serious-discussion

[livid spoke]

is it just me or does anyone else hates it too when their professor acts like "we are in the industry"

hi there

[lethal mulch]

This is an issue I have with academia in general. Out of touch with reality in a lot of ways. No, they are not in the industry (usually)

[sonic sentinel]

does anyone know of an app that can like recommend you small stuff to read (like short stories or articles)

hi new im dad

why say you're new

well, nice to meet you new user

did you join the math server for any particular reason?

did you manage to get help? or are you still in the process of getting help?

do you know how?

!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.

[sonic sentinel]

np

[twin flicker]

dont ask to ask

just ask

for math? just msg in one of the available channels at the top

the nonoccupied ones

wdym

go to the math help available section

then type ur q in one of those channels

[sonic sentinel]

bump

Did a bit of searching and it turned up: pocket, medium, and Artifact

what on earth?

i looked at pocket premium pricing cause i got a limited highlights message

on the app it says its "QAR 18.00/month" and "QAR 29.00/year"

and "im like huh that's very cheap and also a bit weird"

but the pocket website says premium costs "£35.99/year"

,w 29 QAR to Pound Sterling

[fathom swallow]

Results provided by WolframAlpha

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

Requested by alshfik

[sonic sentinel]

the website gives a 6 times higher price than the app??

[wraith shuttle]

I have a question. I am shopping around for drone insurance and one company is quoting me for $230 for the year. But on top of that I have to pay an additional $150 broker fee which totals to $390. Is this broker fee justified or am I being taken for a ride here. Please advise. y-mx+b

[neat lintel]

Just got out of my first class at the new school The class was easy and boring asf

[neat lintel]

They're riding you

[plain owl]

that's how first classes usually are

[neat lintel]

yeah but still

[static juniper]

did you get to tell 3 fun facts abt yourself

[neat lintel]

@frail lagoon

may you help me with math

[ocean harbor]

!noping

[quasi jetty]

Please do not ping individual helpers unprompted.

[neat lintel]

!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.

[neat lintel]

Thankfully i didn't have to do that

[light dragon]

Do you guys have road map from beginning math to advance math?

Im lost and wanted to start from the beginning

[surreal sapphire]

you can start by following khan academy

[ripe needle]

What's the beginning to you?

Basic Mathematics by Serge Lang will get you from middle school math through Pre-Calc.

You can pick any popular calculus book such as by Stewart or Thomas or Anton. That'll get you your Calc I, II, and III

Then you might need a proofs book to learn how to read advanced math texts

Linear Algebra you can do after Calc II or Calc III

Then there's a multitude of books for Analysis and Abstract Algebra

After that, the world is your oyster.

If you have questions on specific books for different topics of math check out #book-recommendations and utilize the Pins and the search function.

[unkempt sparrow]

is there a server like this but for chem and bio?

[surreal sapphire]

there are some listed in #old-network

[unkempt sparrow]

thx

[light dragon]

Middle school

Thank you for the advice

[neat lintel]

anyone here that knows abt logarithms?

I need help in #prealg-and-algebra

[narrow geode]

Hi

I tried to find problems of IZHO 2024 but I havent find. Anybody can write a link?

[neat lintel]

Hello A-Squish! How are you doing on this marvelous afternoon?

[ocean jackal]

Hi everyone! I find this server great !

[ocean harbor]

[ocean harbor]

go troll somewhere else

<@&268886789983436800>

[solid snow]

<@&268886789983436800> alt^

[ocean harbor]

lmfao

[neat lintel]

So much for the tolerant left

[neat lintel]

https://www.youtube.com/shorts/I8LM5Px0wlU

[neat lintel]

What on earth is happening here

[wispy crypt]

any jee nerds in the chat who are in isc?

[sonic sentinel]

Do you think I can convince my school to change their grading system for AP mock exams?

from just taking the raw score to doing something else

cause right now its like probably one of the biggest reasons people aren't joining AP

[surreal sapphire]

unlikely

you should contact the student association/union probably

[sonic sentinel]

my two main ideas are:
(1) keep a record of all the raw scores, normalize it based on the ranking
(2) keep a record of all the raw scores and the corresponding 1-5 score on the actual board exam, assign a percent grade to each 1-5 score, then try to somehow assign the raw scores to the new percent grades?

[sonic sentinel]

unlikely because of this specific change or like unlikely because any grade change in general would be difficult?

[surreal sapphire]

change might be more involved

might require a change of official documentation

and in that case you need a bit more power than a single person

i.e. you have to do politics

[sonic sentinel]

wdym

[surreal sapphire]

maybe i am misunderstanding but often how to grade exams is an official decision by the school and codified in some form of writing

they cant change that because someone doesnt like it

feel free to ask, but i would contact the student union

[sonic sentinel]

yeah i don't understand the school politics

what is a student union

[surreal sapphire]

the students representation when it comes to school politics

[sonic sentinel]

ah ok

also i want to say i have heard of indiivdual students managing to change some stuff, but those were mostly small

e.g. there is a student in our year who managed to create a new schedule for our class for a particular weekday to accomplish something about the lessons, he was not in the student body at the time

[surreal sapphire]

then your chances are pretty good actually i guess

but the "standard" way is what i outlined

(also doing politics is a good thing, so i recommend knowing your student union.... if there is one)

[neat lintel]

Anyone experienced with coding in VHDL?

I already have some background in Verilog and Systemverilog but VHDL seems like an entirely different world

[olive owl]

college algebra 😊 vs college algebra 💀

[reef summit]

What?

Why is it called completing the square

Is college algebra basically algebra 2?

[cinder zephyr]

Because it allows you to write the quadratic as the square of two things

[olive owl]

dont read, spoils joke ||college algebra is diet precalc, but abstract algebra is also technically college algebra||

[olive owl]

||algebra 2.5 ig, basically high school alg for ppl who paid no attention||

[cold gull]

Anyone in or been through University of Washington's online applied computational math graduates program?

Curious if its any good.

[inland elk]

has anyone applied for cambridge?(before)

[wary pasture]

1doekiqeoewjoiewjewjewiojijijij

[neat lintel]

no one has

[neat lintel]

I hate saying this but

https://www.youtube.com/watch?v=RCq5TYMZEwg&list=PLauivoElc3giVROwL-6g9hO-LlSen_NaV Am i weird to think "Is this video in english?"

is it i english?

i honestly cant tell

[visual breach]

Maybe there is e.g. Indian/Pakistanian English

[neat lintel]

it's hindi but people who speak hindi dont use all the words completely translated in hindi

that's why its sounding more like english vid

indian/pakistanian english lmfao

[neat lintel]

someone please help me i have a math quiz please go to channel help-29

[placid finch]

i guess not

[neat lintel]

stawker

[placid finch]

ive been waiting to reply to that

[neat lintel]

u r getting bonked

[leaden surge]

The indians often mix a lot of english into their speech, even if they’re actually speaking hindi or whatever. Like 90% of his speech isn’t english but maybe 10% is.

[bold sigil]

It's completely in hindi

Modulo is a English word

As there's no hindi word for it

We use Hinglish

Hindi + english

And ofc wtf can someone think of it as Pakistani/Indian lmao

It's ABT language development bro

English itself has borrowed words from many languages

I hate to say this again and again

Is it so hard?

Your countries were developing

And ours was occupied by brits

So education etc etc was low and they did that from 1757 in full force

From the golden period of scientific discovery

I mean yes this is true, so no development scheme and maths from our side

I mean that's just maybe my inferiority but still no significant except Bose einstein condensate

[neat lintel]

bruh

chill out

[nimble magnet]

Does anyone know where I can find resources for Functions?

[plain owl]

on what level

[nimble magnet]

Calc 1 I believe

[plain owl]

ah, well in that case you need to add your education system

[nimble magnet]

I'm an engineering student and for the course we're supposed to be doing both calc 1 and 2

[plain owl]

without your country it's not a good question

[nimble magnet]

Jamaica

[plain owl]

well then I'm really not familiar with that

[fresh heron]

anyone got any good youtubers who teach linear algebra? i’m taking is this semester and prof leonard doesn’t look like he has a ton about it :’)

[neat lintel]

https://www.youtube.com/watch?v=SrhtsGd0y1s&list=PLBh2i93oe2qvHhhyzyoga6PR5LPoJEXwy

[fresh heron]

you’re the goat tysm

[supple fog]

3 -1 -2
2 0 -2
2 -1 -1 The eigenvectors corresponding to the double eigenvalue, what are they

[leaden torrent]

#❓how-to-get-help

[neat lintel]

69

[neat lintel]

my brain is mush

[strange garnet]

why does math literally cause me to have a panic attack

[visual breach]

Likely because you lilely have your brain hard-wired to panic when you see math

Typical techniques for reducing/alleviating fear could work

[neat lintel]

Probably because of how much pressure the education systems puts on you while offering no support

[fast sierra]

can someone help me rq

[ripe needle]

It really do be like that though. Constant pressure.

[ripe needle]

https://www.youtube.com/playlist?list=PLl-gb0E4MII03hiCrZa7YqxUMEeEPmZqK

[compact kernel]

e

[leaden surge]

School

No other reason

Math should be a fun activity, to be enjoyed

In the same way that solving a logic puzzle is fun

Math is just about different kinds of logic puzzles

Sometimes the solutions are useful, so we learn math to find the useful solutions

And then school comes, and requires that you absolutely need to learn a bunch of “useful” math that you, in practice, will never use (assuming you to be a perfectly average person), and throws in all kinds of ideas like “if you can’t do this, or don’t perform well with that, then you’re a failure of a human being and should be ashamed of your very existence”

And next thing you know, math gives you panic attacks

This is how systemized education works

[neat lintel]

School serves its purpose really well

[leaden surge]

It’s the systematic butchering of the learning process, turning an otherwise pleasurable opportunity into an opportunity for a panic attack instead

[neat lintel]

To fend off those who can’t grasp new concepts in a short time

[leaden surge]

Yes, but not in a way that benefits them

And besides, you don’t need systematic math classes through twelve grades to discourage students from math

Eight grades is more than enough

Anything they teach you in highschool math is unlikely to come up in the average person’s life

If someone decides they like math or that they’re good at it, sure let them pursue it

But don’t force it for 12 grades

[neat lintel]

I’d say anything past logarithm isn’t useful

Well Calculus I is quite useful because optimization

Graph theory is also quite useful

[leaden surge]

Yes, but I said “average person’s life”

[neat lintel]

I know

[leaden surge]

Most of math is immensely useful

But in practice, everyone ignores it except to calculate spare change

[neat lintel]

An average person’s life should have several optimization problems

[neat lintel]

Taxes…

Shortest part…..

[leaden surge]

That too, but again nothing more than basic arithmetic

Spreadsheet work, really

If you want to optimize something, you do it by gut instinct, or if you’re feeling particularly ambitious you pull out a calculator and see if you can work something out

Not many people realistically turn to calculus in most situations

Yes, it’s immensely useful for those who are so inclined, if they find themselves in a relevant situation

But for most people that just never happens

[wild lantern]

Some things people don't realize they are using directly

But claiming they don't seems wrong.

People think very often in terms of basic calculus concepts. Rates of change, speeds etc. Even things up to mvt and rolle's theorem are intuitive enough that an average person might implicitly use them.

Idk if that justifies teaching it

But claiming it's just not relevant to an avg person seems wrong.

[neat lintel]

Free, correct knowledge doesn’t need justification

Always pursue information

[wild lantern]

The time and effort invested in it for a normal person often does need justification though.

"Why do X that is not obviously useful to my goal when I could do Y which is obviously useful to my goal?" type stuff.

[neat lintel]

I wouldn’t say effort is an issue

In my opinion, humans have infinite potential

We have plenty of time in a day

Almost 24 hours if you count sleep

[wild lantern]

It's not so much a matter of potential. Learning a thing takes time and effort.

Often more than just those

[leaden surge]

Yes, but if it’s that intuitive then the people will use them regardless of if they were ever taught. Teaching just gives those concepts names and codified rules. That is rarely useful to the typical individual simply concerned with going about his business.

[leaden surge]

Don’t forget that time is valuable

[wild lantern]

Indeed see the bit where I said this

[neat lintel]

How much?

[neat lintel]

This is untrue

People can’t really think of a concept or utilize it

Even with named concepts, it’s hard for them to recall

[wild lantern]

Nah, I absolutely disagree lol.

[neat lintel]

It’s not a matter of intuition, it’s a matter of optimization

[neat lintel]

School was created to weed out such people

[wild lantern]

I do not agree with that either lmao

[neat lintel]

An advanced society is a society where the invention, composition and abstraction of concepts are the keys

[leaden surge]

Depends on the person and their situation, but in terms of dollars, that would correspond vaguely to how much they get paid per hour. Of course, that’s a poor approximation, and only applies to the employed.

[neat lintel]

I was a school

[leaden surge]

The express purpose of school is to educate. Any “weeding out” of the uneducable is merely an unintended consequence.

[wild lantern]

I bet if you throw a ball in the air and ask a kid at what point in its trajectory it travels the slowest they'd have some faint inkling this occurs at the peak of the throw.

Most of the basic concepts of calc are intuitive like that.

[neat lintel]

Is that really the purpose?

Sure, middle school does that perfectly

[leaden surge]

The intended purpose, yes. Not necessarily what actually happens.

[neat lintel]

You should really look into the origin of school

[wild lantern]

The origin of a thing and its purpose now don't have to be the same.

[leaden surge]

^

[peak tide]

harvard started life as a religious school

[wild lantern]

Like, I can't think of a single prof I've taken that would fail a student for the sake of weeding them out just because they want to weed them out.

[leaden surge]

The reason the US spends much of its national budget on education is to, well, educate, not to weed out

[wild lantern]

Typically it's a "for their own good" type thing when those kinds of things happen afaik?

[velvet dagger]

Weeding out in particular is not an intended function, though evaluation is

And weeding out can be a fairly direct consequence of that in some circumstances

[neat lintel]

It’s not about what they want, it’s what the society 'needs'

[neat lintel]

To educate people, and to filter out people who can’t he efficiently educated

[neat lintel]

Taxes are usually done by someone else

[civic herald]

hi i joined today

[ocean harbor]

welcome

[civic herald]

thank you

i preparing for sat i wanted more help thats why i joined

it on march 😊

[ocean harbor]

[solid snow]

Does US public k-12 school even "weed out" anymore?

It seems genuinely non-trivial to NOT graduate

[neat lintel]

Some schools failed and give subpar graduated people

The graduation rate in good schools should be around 60% or lower in my opinion

[solid snow]

Thank god you dont run education

[neat lintel]

Do u guys love group projects in schools

[neat lintel]

no. they give me anger issues/srs

[neat lintel]

I shouldn’t be in charge of anything

[ocean harbor]

never

[ocean harbor]

what they said^

[neat lintel]

Why is group project mandatory even though everyone hates it

[solid snow]

To prepare you for the real world

[civic herald]

haahaahhhhhhhhhhaaaa

it sound funny

[neat lintel]

Yes it also prepares slackers to slack in the real world too

Perfectly balanced, as all things should be

😭

[vagrant gale]

Is there anything like codeforces but for math? Would be nice to have regular online competitions and etc.

[fervent flame]

ehhhhhh im not sure about this. the only reason kids would get that inkling is because "why ask that question in the first place, if its not the beginning, peak, or end"

actual physics is not intuitive for kids

[vagrant gale]

Depends!

[fervent flame]

im obviously excluding things like "things that go up come down"

if you ask a kid anything specific such as the above trajectory question that actually requires calculating, most will get it wrong relying on their naive 'intuition'

[dense hornet]

My school would sometimes grade group participation as 50% of the individual grade in a group project.

[late sentinel]

Helllp

Asp

Plz

[late sentinel]

https://music.apple.com/us/album/born-pink/1644440668

[ocean harbor]

https://tenor.com/view/ok-and-ok-and-meme-ok-and-gif-he-said-ok-and-kitten-gif-24280565

[plucky mason]

hello i don't understand derivation

[sterile rampart]

YT ✅

[plucky mason]

ok..

[rocky shuttle]

it's a linear mapping that satisfies the Leibniz rule

[mint patio]

Fuck you

I was about to make that joke

😭

[neat lintel]

May be organic chemistry tutor channel on YouTube help you ( dont go for name it teaches all subjects 💀)

[plucky mason]

okk thanks!!

spend a nice evening

[mint patio]

You mean differentiation I believe. Look up 3Blue1Brown Essence of Calculus on YouTube

That series is amazing for learning the intuition for calculus

[neat lintel]

Thanks
You too!

[mint patio]

As far as computing derivatives and the process of differentiation, the only thing you can do for that is practice, practice, practice

Look at people solve examples and try them yourself

Post in the help channels and ask for help

etc

[dense matrix]

it's a differential operator and its hermitian conjugate is -d/dx

[dense matrix]

on hilbert space

[mint patio]

[plucky mason]

thank you all for your help!!

(i have a exam tomorow i want die..)

[mint patio]

For the record Raaniax I would advise you ignore what everyone has said besides Fury and I lol

[neat lintel]

I saw this channel, I found it amazing
Though for specific calculus i studied from Blackpenredpen

[mint patio]

They are talking about something completely different than you are

[mint patio]

BPRP is great too 💚

[neat lintel]

Best of luck for the exam!!

[plucky mason]

🤣

[neat lintel]

Yeahh

[neat lintel]

Lmao

[mint patio]

:hehe:

They're just teasing you because you said derivation and not differentiation

[neat lintel]

Haha yeah I understood that's a typo

[plucky mason]

oohhh sorry😔

[mint patio]

It's no problem

[neat lintel]

Its ok!!

[mint patio]

Feel free to DM me if you need help with it, I enjoy helping people with calculus

[rocky shuttle]

on manifolds

[mint patio]

I do not understand calculus on manifolds well enough to teach it

[neat lintel]

Calculus and combitorics is mine favourite in whole maths overall

[mint patio]

Unless the manifold is R^n :p

[plucky mason]

if I need help I’ll come back to you haha thanks!!

[mint patio]

Good luck with your exam!

[neat lintel]

I have a math problem for a genius

Say you are given three variables

x, y and z

You are tasked with finding all values of a such that $a * b = x$ for $b <= z$ and $a <= y$

[fathom swallow]

We

[neat lintel]

How many different values of a are there?
How do you find those values of a?

Good luck mathematicians

also what branch of math is this?

[leaden surge]

@neat lintel do the variables have to be integers or can they be any number? Are they restricted to positive only, or can they be negative too?

[solid snow]

a trivial application of lagrange multipliers

[neat lintel]

integers

[leaden surge]

well, we start by finding all factors of x

then, for each factor of x, we set a to that factor, find b as x/a, and that gives us a list of a,b pairs

for each pair, we eliminate the ones where a or b exceed y or z, respectively

and what remains is all the solutions, and only the solutions

[alpine kindle]

do a prime factorisation of x, multiply everything out, then remove any that are greater than y or less than x/z

[neat lintel]

You guys are supposed to be mathematics

Where are your proofs

[alpine kindle]

just like

very basic inequality manipulation

lmao

[neat lintel]

prove it

[leaden surge]

well I'm actually more familiar with CS and informal math than formal math

so if I have a problem, then I give you the algorithm I would use to solve it

no proof needed so long as I believe that it works out in my head

that's the CS way

also the CS way: accidentally make a bug and lose your company $10,000,000 fifteen years down the line when someone exploits it

because we don't do proofs lol

ok I'll provide a proof

"the proof is an exercise for the reader"

done

[alpine kindle]

exists b such that ab = x is literally the definition of "a divides x" so a must be a factor of x
then we know a ≤ y so cut out the values > y
we know b ≤ z so x = ab implies x ≤ az so a ≥ x/z so remove all values that are < x/z

the remaining ones follow all 3 conditions

you could have done this

[neat lintel]

How many different values of a are there?

[leaden surge]

count the number of results

idk if there's a formula for it

probably not

or if there is, it's some weird complicated formula that boils down to just doing the algorithm and counting the results

[neat lintel]

just doing the algorithm does not count

must be formula

[solid snow]

algorithms count as proofs in math

[neat lintel]

This is a test for all of you and not me

[solid snow]

you can prove something using an algorithm

[alpine kindle]

$\mathrm{card}{a \in \bZ : (\exists b \in \bZ) (ab = x \land a \leq y \land b \leq z)}$

[neat lintel]

I'm anti algorithms

[fathom swallow]

あたしはアリ

[alpine kindle]

there we go

that's the formula

[solid snow]

most basic matrix linear algebra results arer showing stuff about gauss-jordan elimination

which is an algorithm

[neat lintel]

This looks correct because I do not understand it

I am very impressed at your work

[solid snow]

omegalyl

[alpine kindle]

if there was a much better formula than this or similar then we would be able to break rsa encryption easily with standard computers

[solid snow]

it's literally a description of what she said to you in words

[alpine kindle]

no it's actually worse

[neat lintel]

Like i said, i do not understand it

[alpine kindle]

the formula i gave is just a restatement of the problem lmao

wait

[alpine kindle]

the number of different values is actually always aleph 0

i believe

as long as x y z are positive

no

ignore me

[neat lintel]

I despise math

I remember someone saying something about Lagrange multipliers

who was that

I have another problem for the geniuses in the esteemed and well regarded discord server of mathematical excellence

https://wcipeg.com/problem/noi12p2/

[deep mango]

I LOVE LAGRANGE MULTIPLIERS!

[alpine comet]

Yeah, definitely Lagrangian

There is a problem that uses a similar technique in ICPC NWERC 2023

And all the teams sucked on that problem because they were scared of physics

[amber gust]

I need help with geometry

[surreal sapphire]

please read #❓how-to-get-help

[prisma plinth]

I have a vitriolic hatred of legrange multipliers

[plucky mason]

Hi my exam went well!

[tepid marlin]

[plucky mason]

I already have another one on Thursday..

[vast surge]

[sterile rampart]

[plucky mason]

i'm bored

[ocean harbor]

what subject

[plucky mason]

differentiation

[ocean harbor]

[plucky mason]

where you com from?

[ocean harbor]

there's no need for that since I'm uncomfortable to share it in public

but I live in canada

[dense matrix]

Yes tehre are a lot of algorithms in maths

[vernal token]

What's the difference between Gaussian elimination and Gauss-Jordan?

Ah

Gets it to RREF

[restive hearth]

yo

Anyone good at designing discord banners for servers?

[cinder zephyr]

Alot of constructive proofs are algorithms if you phrase them correctly

[ocean harbor]

🙋

[restive hearth]

Dm me

[ocean harbor]

go for it

[neat lintel]

Can i use Lagrange multipliers for anything?

[river moon]

yes

[manic galleon]

for multiplying 2 lagranges

easy

[neat lintel]

Lagrange multipliers are so op!

Is calc 3 the only useful calc?

[manic galleon]

no, the most useful is calc 1

in terms of theory building

[river moon]

calc 3 (at least in theory it should) properly teaches about what derivatives are

[neat lintel]

hopefully

[tired kettle]

what happened to grad apps channel?

[glass peak]

It got closed because it’s no longer apps season, it’ll be open again next year when people are applying again

When I’ll be applying too

[neat lintel]

What?

There is a application season?

[zealous garden]

Why not calc 1

[river moon]

because you can't appreciate differentiability

[deep mango]

from like december through end of january

[neat lintel]

That's horrible

[deep mango]

What do you mean

It's nice having the deadlines not all be at once

[old pine]

Using the diagonal proof of every real number being bigger than every natural number, you are essentially trying to add a never before seen real number to the infinite set of real numbers. You cannot do this, because I don't think thats how infinity works

Writing down a list, and then creating a new number to add to that list, assumes that you have already created a limit to the list, which is impossible with infinity

The diagonal proof, to me, seems like you have to straight up create a limit to infinity. But that isn't how infinity works, just like how 0.9 repeating infinitely === 1

Please tell me if I am misconstruing Georg Cantor's argument, or if my reasoning falls flat somewhere, I'd love to understand maffs a little bit better

[slate hedge]

Are you familiar with Hilbert's Grand Hotel?

If not, the basics are this: The Grand Hotel has infinite floors, each containing one room. They're -all- occupied. A prospective guest comes to the hotel, and asks for a room. The receptionist says sure, and has the person in the second floor move up a floor, has the person in the third floor move up a floor to make room for the second-floor person, the person in the fourth floor move up a floor to make room for the third-floor person, and so on and so forth, all the way up the hotel. Everybody has a room above them, so everybody can do this - and voila, the second floor is now free for the guest.

[old pine]

currently re-watching veritasiums video on it right now

but this doesnt change my argument, because the diagonal is trying to create a new real number

2:20 - 3:10 in the veritasium video I disagree with

[jagged forge]

i am not sure what you mean by “created a limit to the list”

[split basin]

the question is whether there exists a surjection N -> R

[slate hedge]

I think that Repacharge is thinking that the list contains all unique real numbers, which, if I recall Cantor correctly, wasn't his argument; it was that it contained an infinite number of real numbers.

[split basin]

the diagonal argument refutes this

[split basin]

no…

[old pine]

dumb down what you mean by this pretty pls

[split basin]

um

what part

is unclear

[old pine]

also at 4:00, I think you can just use the exact same proof as used in the beginning of the video

[old pine]

what does surjection n -> r mean

[split basin]

N is the set of natural numbers, R is the set of real numbers

a surjection is a certain type of function

sometimes called an “onto” function

if you dont know what these mean, then i am not sure how you can understand cantor’s argument

but you can look on wikipedia

[jagged forge]

well about knowing what those mean, maybe you should read the original post

[split basin]

what

[jagged forge]

personally i doubt he knows what those mean

[split basin]

ok

well anyway

if you want to understand a mathematical argument

the first thing to do is know the definitions of the objects which are being argued about

and to understand the statements which the arguments are proving

knowing what it means for a set to be “larger” than another is a prerequisite for understanding a proof of a statement of that form

[slate hedge]

Okay, so. Cantor's argument, taken down a few levels, to the point of semi-inaccuracy: Take your list of natural numbers. 1, 2, 3, 4, and so on and so forth. Now, divide 1 by them. You now have a map that has a one-to-one correspondence with all natural numbers - and, in the real number set, you haven't even gotten past 1. You have no natural numbers left to assign.

[split basin]

wtf are you talking about

the map f(n) = 1/n is not surjective

but im pretty sure that was known before cantor

[slate hedge]

And that isn't where Repacharge is stuck, so that isn't helpful.

[split basin]

yours is

not even relevant

as the question is about proving nonexistence

[jagged forge]

personally i feel like we have gotten pretty derailed and the guy left

[split basin]

not merely verifying that some random map doesnt work

[slate hedge]

"I am not arguing that infinite sets exist, im arguing that the infinite set of real numbers is equal size to the infinite set of natural numbers" - from Repacharge

[split basin]

yes

i.e. they were arguing that there exists a surjection N -> R

which is what it means

(trivially there is a surjection the other way)

[slate hedge]

They don't know what a surjection is, and certainly can't ask whether one exists.

[split basin]

ok

but somehow you think obfuscating the point further

is going to help clarify things

rather than indicating what they should read up on

[jagged forge]

i think trying to reason about something at the person’s level is better than throwing terms and definitions at them

[split basin]

this person is not reasoning at anyones level

the reasoning is incoherent

[slate hedge]

At the level of understanding displayed, yes. This is like arguing you should never teach exponentiation as "repeated multiplication" because it's really better understood as an infinite series (which includes exponentiation in its definition!).

[split basin]

i cba to define surjective, etc., but obviously my argument can be fleshed out into a correct one

wtf are you talking about

[jagged forge]

bro you have a problem

[split basin]

no you are arguing that you should teach exponentiation as repeated addition

i.e. something incorrect

in a fundamental way, not due to a pedagogically-informed oversimplification

[slate hedge]

Well, if for some reason somebody has mastered addition but doesn't know multiplication yet, you could in fact teach it that way.

It'd be a nightmare of repeated operations, but you could.

[split basin]

ok bad example

surely you recognize your example has zero relevance to the question of whether N and R have the same cardinality

and therefore can only serve to confuse

[slate hedge]

It doesn't directly work with cardinality, but it does demonstrate that something -like- cardinality has to exist. And that's kind of the first step to understanding cardinality.

[split basin]

no it does not

it does not demonstrate anything

[slate hedge]

You've mapped every unique number to a unique number. One set still has numbers left in it, the other does not, even though they're both infinity. There's something going on there. That's the basic intuition that leads to understanding cardinality.

[split basin]

it demonstrates that functions can be bounded

even if their domains are unbounded

which is not the point at all

look

f : (0,1) -> (0,2) defined by f(x) = x

is injective

not surjective

yet the sets have the same cardinality

how are you supposed to conclude anything about (0,1) and (0,2) from the nonsurjectivity of f

[slate hedge]

Well, to begin with, you might notice that the unmapped numbers left over in that set are finite; you can count them.

[split basin]

what

maybe you should open wikipedia too

[slate hedge]

Er, still thinking in terms of integers.

[split basin]

what

[slate hedge]

Trying to switch between conversation modes. That set isn't countable, but that's not really important. We could make the same kind of argument about the list (1,2,3,4,5) and (1,2,3,4,5,6,7).

[split basin]

yes

we could

[old pine]

ok I went away to eat some chocolate and I came back and am now way too confused. This seems like bickering about a topic I don't even remotely understand, so im probably gonna have to figure this out on my own, likely by getting a better grasp on infinity lmao, good luck disproving each other

[split basin]

just

read my first messages to you

and ignore the rest

you can learn the relevant definitions by spending like 5 min on wikipedia

[slate hedge]

The relevant definitions are not generally written for a layperson.

[split basin]

basically anything besides a youtube video will explain this

[split basin]

it seems like you havent properly learned the relevant definitions yourself, so how would you know?

[wild lantern]

The basic definitions for surjectivity and injectivity can all be summed up pretty intuitively.

Jumping to cardinality and shit is not so bad

[split basin]

i find that wikipedia articles on basic math concepts tend to be quite readable

[slate hedge]

Well that would imply I am a layperson and thus am the perfect audience to judge whether or not they are written for a layperson.

[wild lantern]

Surjectivity: everything in the codomain gets mapped to. Injectivity: no two distinct things map to the same thing.

[split basin]

so you agree that you dont know what cardinality means?

[slate hedge]

I mean, I don't particularly care whether or not you think I know what cardinality means, so, sure, you can take it that way.

[split basin]

lol

[wild lantern]

You are trying to have a conversation about cardinality

[split basin]

i mean i am quite confident at this point that you do not know

[wild lantern]

It's important to know what it means for that purpose

[slate hedge]

I'm not, actually, I'm trying to convey the intuition that leads to understanding cardinality.

[wild lantern]

If you don't understand what cardinality means that's going to be challenging

[split basin]

since you have not engaged with my argument except to shore it up

by providing further counterexamples to your intuition

[slate hedge]

This is a pedagogy problem rather than a mathematical problem.

[split basin]

you may think that

but as a non-layperson i am fairly certain you are missing some fundamental understanding in both areas

and i encourage you to read a wikipedia article

to at least address the math part

[slate hedge]

And I'd suggest you spend more time talking to human beings to address the human part.

[split basin]

lol

[slate hedge]

I switched to a countable set because the same problem you were addressing appears there; an incomplete map is not proof of a difference in cardinality. However, it does cause you to start thinking in the right -lines- for cardinality; starting to think about how you can manipulate infinities in the same way that you manipulate numbers, and then thinking about how those manipulations differ from the manipulations of numbers. In the context of Cantor's proof, if he can come up with the argument that you can split the infinity to cover 1...2 in the mapping I showed, and so on, that is a step in the right direction.

[split basin]

ill take your word for it

[leaden surge]

What’s happening here?

Who’s arguing what

[slate hedge]

Argument about mathematical correctness in explanations versus pedagogical techniques aimed at building intuition.

[neat lintel]

It is obvious that {1,2,3} and {2,3,4} have same size, right?

You can also see that the second set has elements of the form 1+element of first set
So you can define a mapping between these sets of the form f(n) = n+1

You see that every element in the first set gets mapped (only once) to every element in the second set. This is called surjectivity, and f is a surjection

Similarly, every distinct element in the first set gets mapped to some distinct element in the second set. This is called injectivity, and f is an injection

A map that is both a surjection and an injection is a bijection. f is a bijection.

So at least one bijection exists between these sets. For finite sets, having the existence of a bijection between sets is possible if and only if both sets have equal sizes

This logic is extended to infinite sets, "size" of a set referred to as "cardinality".
You can construct a bijection between N and Z (try it, it's fun) and show that both sets N and Z have the same cardinalities. You can even show that N and Q (rational numbers) also have the same cardinalities. But, you can't create a bijection from N to R, because suppose you label every real number with a natural number and form a list (this is shown in Veritasium's video too in the end). Cantor then showed that doing the process of taking the nth digit from the nth real number in the list and then adding 1 to it, then forming a new real number with these digits, you can argue that this real number will never lie in the list because it will differ by the other real numbers in the list at least by a digit, hence showing no such bijection exists

[wild lantern]

Every function maps elements of the domain to unique elements of the codomain. That is from the definition of a function not from injectivity.

[leaden surge]

In other words, for every possible attempt at a 1:1 mapping, a real number can always be constructed that doesn’t exist in the mapping, thereby proving that a proper 1:1 mapping is impossible

Thus, there are “more” real numbers than natural numbers (or integers, for that matter)

[neat lintel]

Yeah let me reframe

[jagged forge]

it seems to me the original poster lost interest awhile ago

[leaden surge]

Thus the number of real numbers is an objectively larger type of infinity than the number of natural numbers (or integers)

[slate hedge]

Yep

[split basin]

objectively

[jagged forge]

personally i have no issue with jumping to cardinality and surjectivity etc, but i would rather spend more time first pointing out flaws in their logic before trying to reframe the discussion

i do not think this was a productive way to go about this at all

and ultimately it just turned into a farce

[split basin]

you have been making this same comment the entire time

without attempting to actually do what you are saying

[jagged forge]

well i would have if he were still here

[split basin]

its quite annoying

[wild lantern]

You have been kinda dominating the conversation.

[jagged forge]

and he would be here if you didn’t barge in

[wild lantern]

Cardinality is cringe anyway

Better to scare em off

Infinite sets? Different sizes? Get real!

[leaden surge]

I’m all for a good lengthy discussion, but suremark has a point. Had the conversation stayed on topic, and waited for the original issue to be resolved before attacking the next one, then the original guy would’ve gotten the answer to his question.

[leaden surge]

Wdym cringe. Mathematicians can study whatever they like, provided it can be formalized and proven rigorously.

[wild lantern]

Cope spotted

I'm kidding

[split basin]

yeah my aim was to encourage the other person to stop posting misleading nonsense about hilberts hotel or whatever

unfortunately that took some time

[jagged forge]

fair i guess

[split basin]

in my experience it is really hard to learn when you are hearing actively contradictory things

especially when both are from anonymous sources (as opposed to e.g. your teacher and your classmate)

[leaden surge]

How was hilbert’s hotel misleading?

[split basin]

how was it relevant

at all

[slate hedge]

Because he didn't understand how you could add a member to an infinite set

[split basin]

anyway you are welcome to reread the discussion

and see how it progressed

[leaden surge]

Well, the goal was to help build intuition about infinities, although it’s hard to say how successful hilbert’s hotel in particular is for that purpose in this situation.

[split basin]

no the goal was to answer the person’s question

which was “how does cantor’s diagonal argument work”

[leaden surge]

And brining up hilbert’s hotel was to build up to that

[split basin]

but it is not relevant

as the content of cantor

is not “adding a number to a list”

but rather arguing that a list cannot exist

[slate hedge]

There's a lot of assuming the existence of that list, leading to a contradiction, to get to that point.

[leaden surge]

That is fair, but both regard lists of infinite lengths. Therefore, it isn’t far fetched to at least think it’s relevant, regardless of how relevant it actually is.

[split basin]

yes i can certainly see why someone might think it is relevant

which is why i was concerned

though moreso i was concerned about the example after the hotel

[leaden surge]

I won’t argue its relevance, because I don’t know if it’s relevant. Personally I wouldn’t have brought it up, because I thought there was a much simpler way to arrive at an answer.

[split basin]

yes of course

i agree with you there

[leaden surge]

Still, I think derailing the conversation was a bad move

Answering the guy’s question takes priority

After that’s done, then you can argue over what was and wasn’t relevant to bring up

[neat lintel]

<@&268886789983436800> I got pinged

[cold needle]

baneado

[mental stratus]

is something like lean worth learning for lets say an early undergraduate student in math?

also what's some of the coolest stuff theorem provers can achieve today?

[solar hawk]

I mean it’s pretty cool

In general

[surreal sapphire]

if you are interested, sure why not

for now the average mathematician doesnt use them, but who knows

the coolest thing i saw is this proof by scholze

[mental stratus]

im not uninterested but i really just wanted to know what people are doing with it today

i clicked on tao's mastodon post linking to the lean zulip chat and saw people writing some code with topology in it and couldn't make out exactly what it was

didn't bother asking cause it seemed like everyone was a professional mathematician that knew what they were doing lol didn't want to barge in

[dense matrix]

yes, those are gonna be the basics

[dense matrix]

lol imagine coding topoogy

the introductory is 600 pages

of topology

[mental stratus]

what is 600 pages??

[dense matrix]

I found an introductory pdf to topology

algebraic topology 600 pages

[mental stratus]

oh

there's more concise textbooks on topology too

[dense matrix]

I'm studying tensor algebra just 50 pages

[dense matrix]

it has a more fast applciation to physics

[mental stratus]

and the code i saw was something to do about product topologies but i couldn't quite figure out what it was exactly doing or supposed to do

[dense matrix]

In fact it's realy used for example in fluid mecahnics, where the assumptions made make you get the navier stokes equations

[mental stratus]

tensor algebra in fluid mechanics?

i should check out what tensor algebra really is

[dense matrix]

Basically defines operations on tensors and a tensor itself

[glass peak]

I mean algebraic topology is known for being a hard subject to get into for just how abstract it is and quite how many prerequisites it has so 600 pages as an intro isn’t that bad

[dense matrix]

Tensors are generally used in physics, but particular assumptions on the tensor are explained on the algebraic tensor thery

[dense matrix]

the topology definition seems random lol

[glass peak]

What topology definition

[dense matrix]

a topology on a set like

[glass peak]

Topology is a very very broad field, there’s lots of different topologies

[dense matrix]

the first definition, of a topology

topology on a set

the genral definition

[mental stratus]

yea i get it

the book should motivate that

[dense matrix]

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

[glass peak]

It’s a very general definition, there is a lot of sets which satisfy that, and it turns out you can do a lot with it. I agree that it can seem a little arbitrary but it’s a good definition, it turns out if you want to study continuous deformations and similar things those are the conditions you need.

This happens all the time in maths, a sigma algebra for a measure space for example, the definition seems quite random at first, but it turns out to be exactly the properties you need and you can only really see that by studying it yourself

[dense matrix]

thanks

[leaden torrent]

there is an argument (and not even a purely pedagogical one) that topologies are a bit more general than are actually needed in practice

[raven plaza]

What would be a substitute

[leaden torrent]

as in like, point set topology is really just "study of hausdorff spaces + various counterexamples to demonstrate why all the conditions in the definition of hausdorff spaces are necessary"

and emphasizing topologies as the central formalism instead of hausdorff spaces kinda betrays the part mathematicians actually care about

non-hausdorff topologies are not common in practice, and when they arise, its rare to study them using explicitly topological methods

the zariski topology is probably the best example

[leaden torrent]

depending on how schozlepilled you are, either hausdorff spaces or perfectoid spaces

[plain owl]

hausdorff spaces were even the original definition of topological spaces

T1 would also make sense as that would include the most common non-Hausdorff spaces

[summer glacier]

Minnn

Ich nix mahte

[exotic reef]

hhelo guys

[summer glacier]

Scheiße ich

[exotic reef]

speaking Deutsch as I see

[summer glacier]

Ist 1x1 = 3

[exotic reef]

niet, 1x1=1

[summer glacier]

Ja heute Zeugniss mahte 6

Hilf mal lo

Sonderschule schwer

Scheiße

[hushed marsh]

☠️

[neat lintel]

Woah, wo du Hilfe brauchst

[limber thunder]

LCH spaces my beloved

[keen glacier]

@carmine condor

what are you upto rn?

[ocean harbor]

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

[neat lintel]

God

How does anyone pass a linear algebra class

This shit is so pointless and repetitive

I do not want to solve a system of linear equations by hand. kill me

[glass peak]

It may be repetitive but it’s not pointless

Outside of your first LA course any time you need to actually do any kind of matrix calculations they’ll be intentionally made to be very easy because everyone agrees it’s tedious lol

[signal owl]

does anyone have a guesstimate of how long a help channel goes "un-helped"?

[neat lintel]

15 days

[signal owl]

oh...

like, on average?

[ocean harbor]

depends tbh

[neat lintel]

minimum

[solar hawk]

depends on the problem

for most HS problem if it isnt immediately helped than an hour or a few

my help channel a few days ago closed on its own when i forgot to keep clikcing the checkmarks

[signal owl]

Okay, thanks. Well, going to bed so i closed it

[cold needle]

Doing calculations is good

[solar hawk]

Reposted from: chill

[solar hawk]

LMFAO WAIT THERE IS A TEXT BUBBLE ABOVE IT SO IT LOOKS LIKE IM SAYING THAT IS YOU

[ocean harbor]

worst thing ive read ngl

a lot grammar

[gaunt sand]

UDHFLIUHSFLIEWUH

WRONG SERVER

shhhoot

how do i delete

[cold needle]

what are you doing

[gaunt sand]

idk how to delete help

im on a computer

nonononon

i need to delete that

[jagged forge]

take a deep breath homie

[gaunt sand]

i figured it out nvm

please dont use the numbers

thank u

[jagged forge]

i am not even sure what the numbers would be used for

so uhhhh you got it

also mods can see deleted messages

[neat lintel]

Thank you. I'm going on amazon now

[fresh comet]

i just submitted my homework 20s before it was due for the 8th time this year... does anyone have any stories of "almost didnt make it"?

i'm interested in hearing some close calls lol

[neat lintel]

bruh

[river moon]

redoing all the research, analysis and practice reports for bachelors thesis 15 hours before first examination because they didn't bother to check them earlier

[cold needle]

If you count this i turned in my fourier analysis homework late every single time and got full credit

[ionic zephyr]

Not sure where else to ask, but I'm using vscode jupyter notebook and when I edit the markdown cell it scrolls me to the bottom of my document. Anyone know how I can disable this "feature/bug"? Doesn't happen with regular python cells

anyone know by any chance?

[solar hawk]

🐸🐸🐸

No idea

[bright hill]

did the drugs dude post this?

[solar hawk]

LOL

[wary lintel]

Which of these degrees do you guys think better prepares for a career in Fintech, Biotech and/or just Tech in general?

• Mathematics¹ (Applied Mathematics Track)
• Computer Science

¹ - Entails plenty of mandatory and optional Physics and Computer Science classes including Intro to Programming in C++ & Python, Computer Science Theory, Data Structures & Algorithms…

“Enjoyment” is a non-factor since I enjoy both greatly, I'm just trying to get the most out of the degree!

[brittle hedge]

Computer Science

[neat lintel]

^

[wary lintel]

Reasoning? @neat lintel @brittle hedge

[languid spear]

Zero2sudo has a good discord channel for this sort of discussion

Most people are in useful employment in tech or finance or are students pursuing that

[wary lintel]

Who? Where can I find it

[neat lintel]

"I'm a lone wolf..."

[next blade]

if you want to work in tech, CS is the obvious choice

[wary lintel]

I wouldn't say obvious, I'd say probably optimal.

I'm also interested in Finance and Biology on that matter. And it isn't as simple as x vs y. The math degree I'm interested in is extremely rigorous and during the first year the Physics and Math Undergrads take nearly identical courses while also making the Math students take multiple mandatory CS courses with the ability to take additional supplementary courses in CS or Physics.

Let me actually compile the courses for both degrees though, I think that would be good

[paper terrace]

can someone help with my question lol my last task on hw its js probability and i dont understand it

[next blade]

biology and finance are big fields. earlier you said you'd like to maybe do fintech, which to me reads that you'd maybe like to do tech in finance - not e.g. finance in tech

[languid spear]

First 2 results and he posts the link frequently

I’m in on my main, good community

[wary lintel]

Fair enough. Is the difference that big? Would I not be able to do "Tech in Finance" w/a Bachelor's degree in Applied Mathematics w/many Physics & CS courses?

[wary lintel]

i'll check it out

[next blade]

sure you can

[wary lintel]

I just compiled the curriculum of the math degree

Still gotta do the CS degree

What degree are you working on getting/have?

[next blade]

i did physics

[wary lintel]

I see, what is your profession?

[next blade]

i work in finance

[wary lintel]

Trading/Quant role? 🤔

[next blade]

yes

[wary lintel]

Can you look over the compiled math degree curriculum and give feedback?

[next blade]

sure

[wary lintel]

One sec

I'll put it on pastebin

So you don't think I'm trying to steal your big 💸

[wary lintel]

For the Math Curriculum:
https://pastebin.com/iHYCnvFd

While I was at it, I also compiled the CS curriculum for comparison. Although, strangely, unlike the Math Curriculum the CS one doesn't really provide anything in-depth just the course names.
https://pastebin.com/tg0YZnnw

Not that surprisingly, there is quite a bit of overlap between the two degrees in terms of courses.

[next blade]

looks like a solid math curriculum

[wary lintel]

Could I break into Tech/Fintech with that degree?

[next blade]

yes of course

but it has plenty of stuff that's not related to tech

whereas in a more tech oriented degree you'd have larger programming projects and nowadays probably would have a couple of courses on machine learning

[wary lintel]

I would be working on programming projects and self-studying CS concepts in my free time of course. Perhaps even take some external certificates.

I also plan on, further down the line, do a Masters degree likely in Computer Science

And isn't a Math degree optimal for getting into ML & AI? 🤔

[next blade]

a math degree with no courses on ML? no

[next blade]

don't overthink it though, either degree works for your goals and though my personal preference in terms of subject matter would be to study math over CS, the latter probably does make a bit more sense if tech is where you're looking to make a career

[wary lintel]

thanks for the feedback

[peak tide]

CS would be the more typical route for ML/AI, maybe pair it with statistics

[wary lintel]

Will do if I decide to go with Math

Thanks

[runic pumice]

Can you guys help

Web assign wants me to show expression for power series of e^x^2

And it marks me wrong

[peak tide]

#❓how-to-get-help

[fervent flame]

typical from a numbers perspective?

/historical

[raw lagoon]

im sorry

Modelling power scaling of One Piece characters (lmao)
$$,$$
To get a character's overall power level at some time we can use this formula
$$p(t) = {\frac{at^{2}}{100} + \frac{bt}{10} + c}$$
$$,$$

• $t$ represents time {$t\in Z^{+}$} ($t_{0}$ can be considered the beginning of One Piece) (unit time can be an arc) (younger characters usually benefit more from this)

• $a$ ($0\leq a\leq 100$) is the character's long-term growth potential (over many arcs)

• $b$ ($0\leq b\leq 100$) is the character's short-term growth potential (over an arc)

• $c$ ($0\leq c\leq 100$) is the character's base power (arbitrary and based on character's past, feats, and titles) (older and more experienced characters usually benefit more from this)

$$,$$
To get a character's overall power level throughout the series we can integrate $p(t)$:
$$\int_{t_{0}}^{t} p(t),dt = \int_{t_{0}}^{t}\left(\frac{at^{2}}{100} + \frac{bt}{10} + c\right),dt$$
$$P(t)=\frac{a(t^{3}-t_{0}^{3})}{300}+\frac{b(t^{2}-t_{0}^{2})}{20}+c(t-t_{0})$$
$$,$$
To get a character's potential increase in power level at a specific time in the series we can derive $p(t)$:
$$\frac{d}{dt}p(t)=\frac{d}{dt}\left(\frac{at^{2}}{100} + \frac{bt}{10} + c\right)$$
$$p'(t)=\frac{at}{50}+\frac{b}{10}$$

[ocean harbor]

is this chatgpt response

[fathom swallow]

ab D

[ocean harbor]

sigh

[raw lagoon]

Modelling power scaling of One Piece characters (lmao)
$$,$$
To get a character's overall power level at some time we can use this formula
$$p(t) = {\frac{at^{2}}{100} + \frac{bt}{10} + c}$$
$$,$$

• $t$ represents time {$t\in Z^{+}$} ($t_{0}$ can be considered the beginning of One Piece) (unit time can be an arc)

• $a$ ($0\leq a\leq 100$) is the character's long-term growth potential (over many arcs) (younger characters usually benefit more from this)

• $b$ ($0\leq b\leq 100$) is the character's short-term growth potential (over an arc)

• $c$ ($0\leq c\leq 100$) is the character's base power (arbitrary and based on character's past, feats, and titles) (older and more experienced characters usually benefit more from this)

$$,$$
To get a character's overall power level throughout the series we can integrate $p(t)$:
$$\int_{t_{0}}^{t} p(t),dt = \int_{t_{0}}^{t}\left(\frac{at^{2}}{100} + \frac{bt}{10} + c\right),dt$$
$$P(t)=\frac{a(t^{3}-t_{0}^{3})}{300}+\frac{b(t^{2}-t_{0}^{2})}{20}+c(t-t_{0})$$
$$,$$
To get a character's potential increase in power level at a specific time in the series we can derive $p(t)$:
$$\frac{d}{dt}p(t)=\frac{d}{dt}\left(\frac{at^{2}}{100} + \frac{bt}{10} + c\right)$$
$$p'(t)=\frac{at}{50}+\frac{b}{10}$$

[fathom swallow]

ab D

[ocean harbor]

what are you doing

[dusty prawn]

Hi there

[neat lintel]

hii

Hi

[neat lintel]

hru

I am fine( just can't sleep💀) thanks
How are you

why hahah

I'm good thanks

[neat lintel]

Idk literally yesterday mine tests got over so thought now I can sleep peacefully lol

[neat lintel]

haha so probably some peace, no sleep though

[neat lintel]

Yeahh haha

I recently started liking some old russian and french piano music and songs
Tbh they are too good and yet unexplored for me

[vast surge]

I busted flat in Baton Rouge, looking for a train

Feeling nearly faded as my jeans

Bobby thumbed a diesel down, just before it rained

And we rode all the way to New Orleans

[sleek yew]

where do i go for game theory questions?

[main perch]

Can someone come to my help channel

[ocean harbor]

no

[main socket]

Hey

I’m kinda dumb and I need help on my math shit

[storm sage]

Check #❓how-to-get-help

[sonic sentinel]

In #discussion 's sea of text, a message caught your eye,

In unsuspecting lines, a clever rhyme did lie.

"That's not a story, that's a lyricpost"

Soon washed away in new messages like most.

[sonic sentinel]

oh wait this is discussion 2 mb

[old oak]

2 mb of discussion

[livid summit]

How you doing guys and gals

No?

Ok

[torpid cave]

hi ol

[alpine kindle]

hello

[neat lintel]

hi

[brittle hedge]

Hi

[prisma plinth]

HELLO CHAT

[brittle hedge]

Where are you from ?

[prisma plinth]

oblivion

[brittle hedge]

What ?

[prisma plinth]

I am from oblivion

[brittle hedge]

🙄🙄

[prisma plinth]

Hey chat for the double pendulum ODE should I just Runge-Kutta-Nystrom it

Would it be easier to just calculate the sine terms beforehand and use Cramer’s Rule to make it an Autonomous 2nd order ODE

[copper shore]

Yo, I know this is unrelated, But do you guys know someone who's looking for a piano teacher?

[deep mango]

It would probably work better

I think this ODE is very stiff

RK might not work, it might require an implicit method

Which is kind of obnoxious to implement in 2d

[vocal vessel]

I am.

[copper shore]

That's great, Shoot me up a DM so we can sort through the rest

[proven knoll]

[vocal vessel]

No. I’m just hungry

[dry cloak]

I too am looking for

[copper shore]

That's great, Shoot me up a DM so we can sort through the rest

[vocal vessel]

I am

[copper shore]

ok well then dm me so we can sort through the rest :)

[vocal vessel]

Would you say you pair better with rice or with potatoes?

[dry cloak]

With rice

[copper shore]

Both.

[vocal vessel]

🍽️

[meager sonnet]

RK4 worked for me with double pendulum

[deep mango]

In matlab or something using ODE45?

Or did you write your own rk4

Matlab's ode45 does adaptive time stepping, so it will work for something like double pendulum but will take a long time to resolve all the tiny time steps it has to take when accelerations are changing quickly. if you have a nonadaptive rk4 i'd be surprised if it works but it might

[meager sonnet]

I wrote my own RK4

I guess "work" is relative

[ruby apex]

hi @plain island

https://cdn.discordapp.com/emojis/950976196517171230.webp?size=48&name=miku_dab&quality=lossless

https://cdn.discordapp.com/emojis/840106348115918848.webp?size=48&name=floosh&quality=lossless

i have perms here

wait

i dont

no

[ocean harbor]

epic embed fail

[ruby apex]

dont say it

NOP

STOP

not in this server too

pls

[ocean harbor]

https://tenor.com/view/geometry-dash-embed-fail-stereo-madness-fail-gif-22801331

[plain island]

hi person i've definitely never talked to before and wasn't talking to just a few seconds ago

[long matrix]

https://cdn.discordapp.com/emojis/950976196517171230.webp?size=48&name=miku_dab&quality=lossless

https://cdn.discordapp.com/emojis/840106348115918848.webp?size=48&name=floosh&quality=lossless

[dense matrix]

just solve it with FDM

[low parrot]

hello :D

[alpine kindle]

at least put like

a demon level in there

stereo madness is too basic

https://tenor.com/view/thinking-space-thinking-space-geometry-dash-epic-gif-21266021

[ocean harbor]

yeah i put one of these gifs

either this or stereo madness

https://tenor.com/view/ufwm-geometry-dash-geometry-dash-no-care-gd-gaming-gif-20214167

[prisma plinth]

What do you mean by “wrote your own”, did you just calculate your own set of workable weights

Or actually modify it

React failure

[prisma plinth]

How did you write your own

[proud olive]

Imagine using RK4 and not an adaptive stepsize method

[prisma plinth]

I am going off of Fehlberg’s stuff

[neat lintel]

Tiktok is wild. They removed my comment that said "ew" because of "harrassment". They got people out here planning whole genocides with 100,000 likes

[distant jay]

wdym

[neat lintel]

exactly what i said

[distant jay]

what genocide

[neat lintel]

You'll see it on the news. "tik tok not held responsible for genocide"

[distant jay]

what genocide tho

il search it

the ughyr one

tik tok is owned by china

they dont want people to you know

[visual breach]

Isn't tiktok usage banned in china

[latent zodiac]

"tiktok" is banned, but they have their own version owned by the same company

[jagged forge]

wait i thought tiktok was literally a chinese company

[fervent flame]

duoyin

[mental stratus]

they banned tiktok in my country

[cobalt vigil]

name ideas for a maths club?

[gray tendon]

L

[mental stratus]

Math Club

[tepid marlin]

The Pi-thagoreans

Euler’s homies

[sick kite]

Nerd club

[burnt ledge]

ithk its funny to get upset at having a throwaway two letter comment get removed ngl. just a little.

[ionic star]

literally everything is funny just a little

[burnt ledge]

not true

[finite berry]

I need help with math I have a test in 5 days is anyone know ow this

Mgf1106
CRASH COURSE STYLE
module 2 please explain as much as possible
Section 3.1, Statements, Negations, & Quantified Statements-2
Section 3.2, Compound Statements & Connectives
Section 3.3, Truth Tables for Negations, Conjunctions, & Disjunctions
Section 3.4, Truth Tables for Conditional and Bi-Conditional-2
Section 3.5, Equivalent Statements, and Variations of Conditional Statements 2
Section 3.6, Negations of Conditional Statements and De Morgan's Laws
Section 3.7, Arguments and Truth Tables
Section 3.8, Arguments and Euler Diagrams

[shell nova]

(A → B) ∧ (B → C) ⇒ (A → C)
yo guys this is like the based way of writing chain syllogism right?

[cinder pond]

https://youtube.com/playlist?list=PLl-gb0E4MII28GykmtuBXNUNoej-vY5Rz&si=0X7WFoODnmLJ0avF

See some of these videos

I completed all logic math with youtube videos with and excellent grade

[reef geode]

How the hell does a neural network learn unsupervised if the entire backpropogation process Is dependent on some sort of feedback?

(I'm new to this)

[plain owl]

you don't need supervision for the feedback

[reef geode]

Have any suggestions for things to read about it?

[finite berry]

I’ll check it out lmk if you know any other videos with these concepts that’s comprehensive

[meager sonnet]

there's certain models where you don't need any sort of supervision / labelling

for example VAEs

you train the network to reproduce the input

[fervent flame]

skipping over the simpler AE

[cinder zephyr]

the channel to get help for this would be #discrete-math

No one ther will be able to teach the material (that's what lecture + your textbook is for) but specific questions are good to ask there

[meager sonnet]

you've been asked to stop once already

[jagged forge]

https://tenor.com/view/darth-vader-you-have-failed-me-last-time-star-wars-gif-17965814

[solid snow]

??

[plain island]

plz modping those 🙏

[glass peak]

Least cranky mathcord user

[ocean harbor]

https://tenor.com/view/kitty-review-eepy-kitty-sleepy-cat-sleepy-kitty-gif-15376148450942612603

[lost bobcat]

I have a question about textbooks. When someone make a textbook about a topic and they put some exercises in it, have they solved them first or they just think some interesting exercises or collect exercises from other similar textbooks, without check the solutions?

[leaden stratus]

Hlo

[vale plover]

Is there any literature comparing the pedagogical efficacy of a rings-first approach to a groups-first approach in an undergraduate abstract algebra course?

[vale plover]

it probably depends on whether the material is easy or advanced

you can email authors, from beginning to advanced, about this i guess

if they haven't solved it in full, they probably have an outline of what should be done and whether the student would be capable of solving it

[loud snow]

No but rings first is terrible

[pine jewel]

why cant i send pics

i need help wit my ninthgrade test

been stuck on it for the past hour

[loud snow]

What could your end goal be with rings first?

To not cover any constructions?

[ocean harbor]

you need active role to post images here

and helping in tests aren't allowed in this server

[mint valve]

not a discusssion but more like if someone actually can relate with me. whenever i try to talk to the prof about something during class my mind can't orginaize the words the way i want them to. i just say random stuff and hope that he could connect the random words into an understandable sentence, i'm guessing its fear to be judged even though it doesn't bother me that much. if anyone who had this problem please share your prespective.

[neat lintel]

It happens boss. Don't worry about it

Writing your question down before asking might help

[vale plover]

have you had a bad experience with rings first?

there are a couple of rings first books, like undergrad hungerford and undergrad aluffi

have you gone through those?

[loud snow]

If you mean aluffi algebra zero then yes

But I don’t remember it being ring first tbh

Ive heard of hungerford but never went through it

And no I had no bad experiences , can tou address my question and answer what is the goal?

Like starting calculus without limits is a curious thing to do but can be done

And the goals can be stated concretely and achieved

I never heard of anything similar with rings first?

Are you going to mention rings and their definitions and then start talking about homomorphisms and ideals?

[vale plover]

https://www.cambridge.org/us/universitypress/subjects/mathematics/algebra/algebra-notes-underground?format=PB

no i do not mean algebra chapter 0

https://www.amazon.com/Abstract-Algebra-Introduction-Thomas-Hungerford/dp/1111569622

[loud snow]

What is the goal ?

[vale plover]

should i know? i went through a groups first course like most people. here's the argument given by aluffi in the introduction to his Algebra: Notes from the Underground.

you and i can give opinions as much as we like, but i'm wondering specifically if there have been any academic studies comparing the pedagogical efficacy of one approach over the other.

https://matheducators.stackexchange.com/questions/10478/rings-before-groups-in-abstract-algebra

there has been prior informal discussion

[viscid aurora]

Hello yall, can someone help me understand quadratics and functions

[ocean harbor]

have you tried watching some vids for the topic?

do you ask your teacher for help when you don't understand something? if not, I'd suggest you do that

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

[fallow remnant]

hhahahahaa

[surreal sapphire]

the goal is to start with something that is more familiar to students

groups are a bit esoteric and doing computations with them is weird

meanwhile every student is already familiar with polynomial rings

and really you can do everything in an intro algebra class by focusing on polynomial rings and their quotients

but yeah, i dont think this is studied (yet)

educational research for university subjects is a pretty young field

there is some research into what makes learning algebra in general difficult

and sudden abstraction is one of those things

[visual breach]

Maybe permutation is already so abstract?

[surreal sapphire]

students have issues figuring out how abstract axiomatic definitions relate to examples and are simplifications and generalizations of objects they already know

[visual breach]

(Well I guess integers are already quite abstract in some sense but)

[surreal sapphire]

when dealing with group theory specifically one big issue is hidden assumptions

e.g. many students will assume commutativity or wtv