serious-discussion

[dawn bridge]

so its 6th form college

i see

its pre uni

yeah i guess it matters then they see if you meet the standards of the school

every school wants good statistics

like our kids got x grades we sent them off to y universities

so they take in students that they think will do well

and part of the information they have is whatever entrance exams they set

[fringe otter]

my country dont do entrance exams, we have an entirely different system for applying to university

that's why Im confused about this

[dawn bridge]

a levels arent university tho

they are the 2 years before university typically

but that is uk system

they do 2 years a level + 3 year university

a lot other places do non a level + 4 years university

where u need to take more courses than if you were doing a level

a level lets u learn more stuff because u take less courses

[fringe otter]

what about IGCSE?

is it pre-u as well?

[dawn bridge]

yes

those come before a levels

universities will look at ur igcse also but much more emphasis is placed on ur a levels.

[fringe otter]

so are entrance exams more like to determine an applicant's worth to study?

[dawn bridge]

yes they test ur ability

a lot of the time for a 6th form it is because gcse takes 2 years

so they make u do an entrance exam so they have info on you before your gcse results come out

because after gcse result comes out they dont have time to make ad ecision

term already almost started by the time results are out

or sometimes gcse is too easy

so they need harder exams

that is another purpose of entrance exam

when every student is racking up all these A*s they need to tell the difference between them

for the more elite schools

[fringe otter]

which case is the more common one?

[dawn bridge]

depends on ur school

if it is an elite school they probably use it more for the latter

just look at the schools webpage if they announce gcse results

if you see most of the students get a lot of A*s then they probably have hard entrance exams

[fringe otter]

so the likely path for my friend here is that

he has to take entrance exam, study pre-u for 2 years if he passes

Pearson A-levels

before he continues to study in university for 3 years?

[dawn bridge]

3/4 years for a bachelors, depending on the institution

[fringe otter]

I think I got the grasp of it

thanks man

[dawn bridge]

👍

[neat lintel]

how long do i have to study to be a mathematician

[toxic schooner]

forever

[neat lintel]

i mean in university

[sleek wing]

need a bachelors, then a masters, and then a PhD if you want to work at a uni

[dawn bridge]

*a phd is necessary but not sufficient

[neat lintel]

i want to work at the mathematical institute of america

[sleek wing]

Firstly good luck, you’ll probably need years of postdoc research after doing a PhD

[neat lintel]

ok

[sleek wing]

And considering you said America that means 4 years of BSc, 2 years for masters, 4 for PhD

[frozen merlin]

a lot of 5-year grad courses only require a bsc

so actually probably more like 5 years for masters+phd, rather than 6

[neat lintel]

wow that is alot of years

ded chat

[dawn bridge]

2 master 3 phd is a thing

but i think should expect 4 years

not everyone can get it done in 3

[neat lintel]

ok

[dawn bridge]

by the time u done with math tho

[surreal sapphire]

its also probably best to take one step at a time

[dawn bridge]

u might be so sick of it

and realise that if u go into like economics or computer science its easier

and also more money

[sterile hare]

why does this happen to so many people when they start math degrees lol

[frozen merlin]

I think it's probably because it's hard to get an overview of what you'll be doing in your degree

because you learn concepts rather than facts

not to say maths isn't facts, but my point is someone studying history pretty much knows all the concepts they'll ever need for it, and the work of their degree is applying those concepts to interpret the past

so they can probably predict with greater accuracy whether they'll enjoy it (assuming they've done some history before)

is this even true idk, I'm just talking

[dawn bridge]

I find doing applied maths without the applications a bit weird

[sterile hare]

any math that doesn't involve modelling is a good day for me

[sick burrow]

based

I like math because theory of computation is not computational and model theory doesn't involve modeling

[neat lintel]

thanks

[finite jetty]

why the server icon is a torus?

is this any related to a mathematical formula or smth

[deep mango]

tori are just mathy

can someone explain to me why one donut equals ONE COFFIS CUP

[sick burrow]

It doesn't

Not even homeomorphic

Or wait I misread what you said

Donut equals coffis cup but isn't a torus

Donut is D^1 x S^1, torus is S^1 x S^1

[errant furnace]

funniest copypasta ever

[sick burrow]

It bothers me that people mess this up so much

A TORUS HAS TWO HOLES, NOT ONE

[maiden bear]

i have discovered a fundamental difference between a coffee cup and a donut tho

Donuts appear to taste better

[sick burrow]

Is this a topological property though

[deep mango]

One day when I try to make donuts

I should try to make one shaped like a coffee cup

and then drink coffee out of it

like a breadbowl

[sick burrow]

They should serve that at topology talks

[jagged snow]

do adjacency matrixes double the entrance value for loops? does it happen in directed and non directed graphs?

I cant understand adjacency matrixes potencies...any good video tutorial??
what is the translation for adjacency matrixes potencies?

[mint patio]

Can you explain how?

/where

I have not done any topology

[deep mango]

a torus is just the surface

it's hollow

[cold needle]

fundamental group of product is product of fundamental groups 💯

wait is that true

[deep mango]

so there's a hole through the middle, as well as a hole inside

[cold needle]

i think there is a condition

[deep mango]

yes that's true

it's just true

[cold needle]

o okey

[toxic schooner]

prove it metal

😼

[deep mango]

the bad thing is gluing and free products

i actually don't remember how to prove that pi_1 preserves products

i think it's easy?

idk

you just like

slide one of the paths along the other

or something

[cold needle]

we just need a hom which is surjective and trivial kernel

i saw it like literally two days ago i should remember this

[deep mango]

ok, so you send pi_1(X, x) x pi_1(Y, y) into pi_1(X x Y, (x, y)) by sending the paths f and g to the path t mapsto (f(t), g(t)) right?

you need to check it's well defined, a hom, injective, and surjective

for well defined, if i pick homotopic paths f_0 and f_1, and homotopic paths g_0 and g_1, with homotopies f_t and g_t, then (f_0, g_0) ~ (f_1, g_1) by (f_t, g_t).

so the map is well defined on homotopy classes.

it's not hard to see that it's a homomorphism, concatenating paths on both coordinates works fine.

every path can be written in coordinates like this, just project onto X and Y coordinates.

and every path which is homotopic to the constant path definitely has each component homotopic to a constant, again by projecting.

so this is an almost immediate fact.

[cold needle]

ye

[oblique scaffold]

hey, does anyone have a site recommendation with integral practice problems and solutions ?

not the wikiversity one pls am not there yet

[rose dock]

KhanAcademy, Paul's online math notes

[oblique scaffold]

khan academy has practice problems and solutions ?

[rose dock]

Yes

[fair mural]

you could try wolfram alphas problem generator

[oblique scaffold]

alright that's sweet

[oblique scaffold]

actually that's a good idea lol

thanks guys !

[uneven hound]

What is your profile pcicture lol

[cold needle]

its a darkened iron ingot with a b&w wrench from the mod applied energistics 2

[uneven hound]

Interesting

[rose dock]

Do you prefer ae2 or rs?

[cold needle]

i havent used rs yet but it seems like the successor to ae2 if ae2 hasnt been updated yet

idk

lol

[rose dock]

Both are updated now

AE2 now has options not to have channels, and RS just doesn't have channels at all

[cold needle]

ohh okey

i like having channels but is RS able to do the same stuff without channels

[rose dock]

Pretty much

I know it used to be laggy but I think it's fixed now

[sick burrow]

Khan Academy was super useful when I was practicing my calc a while back

[proven shale]

Im also not too sure about the effects of nutation, or how to determine them, there are a lot of unknowns here

[meager sonnet]

The AIM 9 has a burn time of like

2.2 secs or something

after that it's just moving on momentum and I imagine that both gravitational arc and just general in flight stability can push it out of deadzones and stuff

[proven shale]

And mine has a damaged mirror so its hard to even just ‘check’ because off balance and messed up signal

[meager sonnet]

ahh

[proven shale]

One thing is the missile itself isn’t directly tied to the gimbal, missile can do whatever it wants and only effect it has is acceleration physically changing the angle to the target

[meager sonnet]

it's also not using bang bang guidance as well, right?

[proven shale]

No, though the exact details are a bit up in the air

One sec

[meager sonnet]

something like a Paveway LGB basically only ever fully deflects control surfaces in a specific direction

so it always has hysteresis around the target

[compact tartan]

have you done classical/analytical mechanics

[proven shale]

Yeah, here its a bit more complicated, pulling up a doc rn

[proven shale]

I know how to take a lagrangian etc but i haven’t spent tooo much time trying to do any of that fir this system yet

[meager sonnet]

I'm interested in where you found the graphs of the control stuff as well

[compact tartan]

dynamics of a solid 3d body are typically a chapter in a CM class

[meager sonnet]

if there's a full document or anything I might be able to help a bit more

well yeah mniip but

[compact tartan]

expressing torque-free and torque-induced precession, nutation and all that

[meager sonnet]

the classical mechanics doesn't really manage to do this

[compact tartan]

it gives you a framework

for expressing precessing motions

[meager sonnet]

not accounting for the aerodynamics is like

[compact tartan]

gyroscopy formulae

aerodynamics is just a force

[meager sonnet]

by far a bigger issue than the other stuff

it is but it's a force dependent on other things

[compact tartan]

dependent on orientation

[meager sonnet]

aerodynamic stability is a question here

because like

F-16 is aerodynamically unstable

and uses it's controls to manage that

for a net increase in maneuverability

[proven shale]

The gain function?

[proven shale]

One sec, theres a good doc on the hardware but it doesn’t explain the spin scan part

[meager sonnet]

uhh yeah

the spin scan is using the phase of the signal combined with the aperture cut into the disc to determine angle, correct?

I'm dimly familiar

[proven shale]

Yeah

[meager sonnet]

but it's been a while

[proven shale]

https://archive.org/details/OP23092ndSidewinderGuidedMissleMark2/page/n14/mode/2up
This is the definitive doc on the 9b

[meager sonnet]

originally was looking into this kind of stuff to mod flight sim but stuff like the 9b is usually included or just out of scope

[proven shale]

The gyro is decoupled from the aerodynamics, the acceleration will still change the angle over time but the effect is reasonably small

[meager sonnet]

yeah

well the stability iirc is like

if it starts rotation in one direction it can tend to increase rotation in that direction

[proven shale]

The gyro doesn’t like to change its axis of rotation without a torque to constantly change it

[meager sonnet]

ahh

[proven shale]

And the gain function i calculated using python, then verified later- theres a figure in one of the patents thst agrees with what i found

[meager sonnet]

ohh huh

https://en.m.wikipedia.org/wiki/Relaxed_stability

[proven shale]

And this is the actual signal strength seeping the target across the fov

[meager sonnet]

this is what I'm thinking of for the instability thing

oh weird

that does have a lot of deadzones

[proven shale]

And those all go briefly to zero

The kinda envelope of that is the right shape exactly, but le deadzones go brr

And the missile is pretty stable, uses a torque balance system to turn

[meager sonnet]

ohh huh

so it's not like the F-16

[proven shale]

Nope

[meager sonnet]

weird

what is causing the deadzones?

err

should prolly read the doc first

[proven shale]

So the reticle itself is what causes them- it isn’t explained at all i discovered it playing with the code

[meager sonnet]

ohhhh

ok so this also like

[proven shale]

The example reticle they usually show isn’t what they actually used, the real one is like this

[meager sonnet]

before prop navigation right

[proven shale]

Its based on prop nav, but before they really had a full picture of it

[meager sonnet]

ahh

I mean like

the deadzones here are like

used for the angle chang measurements?

b/c I know generally it's supposed to keep the angle to target constant rather than centered

also my apologies the PDF isn't rendering correctly on my phone

[proven shale]

So the seeker moves towards the target proportional to signal strength, its always trying to center on the target- but the target is moving, so it will drift in the fov untill the error signal balances with it and it rests in some position, and that equilibrium signal is a measure of the angular rate of change

[meager sonnet]

ahh

so it's almost like a PID controller

with a small I term?

[proven shale]

Once the missile is on an intercept, the angle between missile floght path and target flight path is constant, and so it’s trying to minimize the change in that angle, turning and generating lead until the target isn’t moving anymore and theyre on an intercept cource

Course

[proven shale]

Sorta kinda yeah

[meager sonnet]

oh wait I might be mixing up my terms

[proven shale]

Prop nav is just a way of minimizing the change in the angle between the missile flight path and target

[meager sonnet]

yeah

and this is like

[proven shale]

But that process is mostly separa from the seeker which itself is just measuring the change in the angle to feed commands to the missile servo

[meager sonnet]

the "proportional" to signal strength is proportional to this graph then?

[proven shale]

Yes, once its past max it’s basically lost the target, the tail is just to lock on to a wider area more or less

[meager sonnet]

hmm

[proven shale]

And the dead zones done really hurt the proportional measurement, itll just hop one deadzone into the next proportional region and find it’s measurement- i just don’t know how well it can get back on center again or in the first place

[meager sonnet]

I almost wonder if the deadzones would be intentional to avoid hysteresis of some kind but it seems like it's at the wrong part of the pipeline for that

[proven shale]

I think theyd increase it because makes the system very sensitive around those points

[meager sonnet]

then again perhaps taming the response in the electronics was more expensive and the reticle was simpler

oh weird

I'll have to load this pdf when I get home

[proven shale]

One interesting thing is the reticle used by the russians is different from the 9b it doeshave the extra 50% region in the middle like the 9b

And the small rings are much much finer

[meager sonnet]

the extra 50% being the portion closer to center, opposite the rings?

[proven shale]

Yeah, 9b manually decreased signal pulses near center but russians didn’t

[meager sonnet]

and the purpose of the rings is for rejection of constant errors

i.e, sun, correct?

[proven shale]

Sun is too powerful and small, but things like clouds or the ocean in the background get averaged out while small source produces a nice signal

[meager sonnet]

ahh

wait and then what's producing those deadzones

is that from the rings

no wait it's far too spaced out

[proven shale]

When it transitions between major rings of color in the checkery side, the line between them has a point where the signal doesn’t change, so it stays 50% all the way around the rotation

[meager sonnet]

ohh

so like, just on the edge and it's partially obscured

huh

are you simulating a point light source

[proven shale]

No various sizes

[meager sonnet]

ahh

wacky

can I get back to you after reading this doc

also feel free to ping

your main question is like how/why it still works, right?

[proven shale]

Yeah exactly, and no worries i gotta get hw done lol

[sick burrow]

Hi fiona

Fiona have I asked

What is your main in tf2

[mint patio]

When doing a lab report should I include every source I used during my research within the references section (even if I don't actually reference their work or results)?

[modest rune]

yes

[mint patio]

Okay

[sick burrow]

Yo Max??

[modest rune]

well

it depends

[bronze pelican]

JaxM

[sick burrow]

He returns??

[modest rune]

If you actually don't use anything there, then don't cite it is the standard i think

but if you are using ideas that were influenced by the papers, even without specific citation, it is normally worth mention

[mint patio]

Gotchya

Thank you Max, and welcome back :P

[modest rune]

thanks

[meager sonnet]

now it is sniper

[sick burrow]

ah

you're rgl Main, right?

[meager sonnet]

yeah

[sick burrow]

nice

[cinder zephyr]

I haven't play TF2 in so long

damn

[sick burrow]

We should make a math server tf2 team

[neat lintel]

Tf2?

[torn willow]

Why is GEB so polarizing?(No experience with the book myself was just reading other people's comments on GEB here)

[stray kite]

never heard of it but sounds stupid

[long matrix]

Is it possible to have an indeterminate form for a limit you cannot simplify?

[neat lintel]

What do you mean

[mint patio]

Yeah but then you just use L’Hopital’s

[long matrix]

L'hopital is an act of simplification

And also can't be applied to all forms all the time? I think.

[wind estuary]

Pretty cool

[simple raven]

The most powerful tool you have is Taylor approximation

L'Hôpital's rule is special case of this

https://en.wikipedia.org/wiki/Taylor's_theorem?wprov=sfla1

[long matrix]

I'm more asking for a specific example

where we cannot reduce the indeterminate form

for whatever reason

[simple raven]

Depends of what you know
In highschool you can't reduce the indeterminate sin(x)/x when x-> 0

(in reality you can, by writing
sin(x)/x = (sin(x)-sin(0))/(x-0) and recognize that it converge to sin'(0) when x-> 0)

Or, I don't know,
ln(1+x)/sin(x) when x->0

(you can use the same trick)

[mint patio]

Wait whattttt

[proven shale]

that's from my code physically rotating the reticle image and measuring the strength, but I actually found a patent figure that lines up closely with it aswell

[mint patio]

How is L'Hop's a consequence of Taylor's Thm?

[proven shale]

Jumping in really quick there I very often see thing associated as a consequence of somthing else when really they both come from the same fundamental truthes- particularly when it comes to things involving pi or the frequency domain lol-
Though I can imagine there is an argument that reasonably demonstrates the higher order terms in the limit dominate when first order ones 'agree' and so the derivative brings those out in a sense and argues that a taylor decomposition is the true cause

[mint patio]

What's the difference between 'special case' and 'consequence of'?

[steel sorrel]

Ah yes, el hospital

[mint patio]

I'll ping just in case they can explain

@simple raven

[pale orchid]

i would also say neither, but they can look very similar

if you use taylor expansions for your limits of indeterminate forms, in certain cases they look almost the same

[long matrix]

🤔

[pale orchid]

taylor requires to argue that higher order terms decay quickly

[long matrix]

hmm so you should always be able to reduce indeterminate forms it seems?

convert to quotient form

Write the taylor expansions

compare

[simple raven]

L'Hôpital's rule says :
if you have functions f and g, with $f(a) = g(a) = 0$ and $g'(a)\not = 0$ then $\frac{f(x)}{g(x]}$ converge to $\frac{f'(a)}{g'(a)}$ when $x$ goes to $a$

Now, keeping the hypothesis on $f$ and $g$, we have $f(x)=f(a)+(x-a)f'(a)+o(x-a)$ when $x$ goes to $a$, so $f(x)=(x-a)f'(a)+o(x-a)$. Arguing the same with $g$, we have $g(x)=(x-a)g'(a)+o(x-a)$, so $f(x)\sim(x-a)f'(a)$ and $g(x)\sim(x-a)g'(a)$ when $x$ goes to $a$, so $\frac{f(x)}{g(x)}\sim\frac{f'(a)}{g'(a)}$ when $x$ goes to $a$.

[long matrix]

You could probably say lhopital is a consequence?

[deep mango]

yeah

ok like

first order taylor is literally the definition of derivative

[simple raven]

Yes I meant consequence

[deep mango]

(but reorganized)

so it would be real weird if any differential calculus fact were not a consequence of first order taylor

[simple raven]

I wanted to say that if you know about Taylor approximation, you can forget L'Hôpital's rule

[deep mango]

i think that's basically true

[fathom swallow]

Adrien

[pale orchid]

that's true, but usually overkill

[long matrix]

Yes, but in practice you just apply lhopital

[deep mango]

yeah it's like

[long matrix]

differentiate top bottom, there we go.

[deep mango]

lhospital is a consequence of taylor, but more importantly, it's a shortcut which includes in it the exact taylor argument you want to do

using taylor would be like if you wanted to copy a paragraph from a website, typing it all out yourself instead of just highlighting and copy-pasting

[long matrix]

repeated lhopital is literally just you calculating the next terms in the expansion

(the factorial constants cancel)

[pale orchid]

that's what i meant about having to argue past which point the terms approach zero quickly enough

[long matrix]

I think? 🤔

[pale orchid]

you don't have to explicitly bother with that with L'H

rather than decide up front how many terms of the expansion to work with

[simple raven]

For me, it's easier to remember Taylor approximation
When you're faced to a indeterminate form, just write first or second order taylor, then see if things simplify
if you are in a calculus class where you compute 10 limits a day, it's probably better to know L'Hôpital's rule

[mint patio]

This makes lots of sense, thank you Adrien

[mint patio]

I never considered it this way either

[deep mango]

The more math I do, the less I think of derivatives as difference quotients and the more I think of them as the coefficient that goes in a linear approximation.

[mint patio]

I think I once saw $\lim_{x\to0} \frac{\sin(x)}{x}$ evaluated using Taylor series, was cool

[fathom swallow]

feather

[deep mango]

yeah, you can do that

similarly for (1 - cos(x))/x^2

[last oxide]

that makes it nicer to generalize tho

[mint patio]

I get the sense that this is special/meaningful to you but I don't see why. Isn't it obvious? The tangent line at a point of a function is a great linear approximation of the function about that point, and the derivative is the slope (proportionality coefficient, if you prefer) of that approximation

[last oxide]

the generalization here becomes almost trivial if you use this argument

[mint patio]

I guess it probably means more in other less obvious contexts lolol

[last oxide]

I guess its because thats what the generalizations are trying to capture

[mint patio]

Generalization of what? Treating the derivative as a difference quotient vs a coefficient in a linear approximation?

[last oxide]

a local linear approximation

[mint patio]

Yes

That same intuition leads to the Jacobian as a multivariable linear approximation right?

[last oxide]

if its zero up to the n-1th derivative then the quotient goes to the quotient of the nth derivatives of the point

[last oxide]

yah

and the frechét derivative
and even the exterior derivative to some extent

[mint patio]

Fancy derivatives

[mint patio]

Exterior derivative is something we use in DG right?

That takes n-forms to (n+1) forms?

[last oxide]

yeah
that meme

but that one has more algebraic properties than "linear properties" lets say

[mint patio]

Sure

[last oxide]

like idempotency and derivation memes

[mint patio]

Derivation?

[simple raven]

And Kälher's differentials

[last oxide]

yeah
it satisfies a certain generalized leibniz rule with the wedge if I recall

[mint patio]

Yup I've heard of this

[deep mango]

it's obvious, i'm just saying that the first thing i write down is f(h) = f(0) + f'(0)h + o(h) instead of writing down f'(0) = lim (f(h) - f(0))/h

[mint patio]

Interesting

[last oxide]

cause fuck division

[deep mango]

yeah

[last oxide]

its annoying

[deep mango]

i guess it's also just like

i used to be scared of big O and little o

but now i'm a little o stan

i'll do anything to put asymptotic notation in my work

[ocean epoch]

hi

[leaden skiff]

that's always what I've thought of them as tbh (not always but for longer than not). they're more intuitive that way imo

unfortunately this doesn't scale

I feel like there's gotta be some deep reason why a 1/n! shows up in Taylor series (deeper than the power rule)

[deep mango]

exponentials

I was doing a proof last sem and was confused

And someone was like "just write the difference quotient, that makes it obvious"

And it took me like 5 minutes to figure out how to even do that

It's correct

Yeah

I mean

There's value to the analogy between average and instantaneous rates of change

But that value is less useful in math

And more useful outside of math

Like "best linear approximation" doesn't really tell me immediately why the derivative of position is velocity

[deep mango]

(dynamics isnt math)

[odd narwhal]

Doesn't it? The best linear approximation to position in a small nbhd is considering the velocity at a point and then multiplying that by difference of distances

That seems pretty intuitive to me

[deep mango]

Ok, but its not the direct definition anymore

[odd narwhal]

Sure

[proven shale]

To me math fundamentally is a tool that our understanding of a problem should guide to doing useful things, not the other way around. Sometimes when building up a more complex and abstract system we can trust the math within a framework we have built to guide us to an understanding of the behavior, but its still not a shot in the dark we’re just working one level of abstraction up. Math is how we describe what is happening not what is actually happening and confusing those two leads people astray very often.

[modest rune]

imagine studying math that describes some extrinsic phenomenon

[toxic schooner]

[static loom]

"the map is not the territory"

[proven shale]

lmfao that's not applicable rn

[serene rover]

Loll

[proven shale]

I think a deep understanding of the problem you are trying to solve is more useful than a set of tools you don't know how to apply. And you can get a long ways by breaking down and understanding a problem even without advanced math techniques that help pin down details or make things rigorous...
I see lots of engineers who throw equations at things rather than just breaking the problem down and identifying the key challenges to solve and it hurts thier work

[rose dock]

that is way more comprehensible

[muted oxide]

Any hint on how to solve subset sum problem with fixed subset size of 4?

[dense belfry]

What is subset sum problem?

[muted oxide]

given set of numbers, check if there is a subset of size 4 that has a specific sum

[dense belfry]

Oh I see

[muted oxide]

I know I can just do bruteforcing, but i was pointed i out that there is O(n^2logn) sol'n

I tried multiple ideas but O(n^3logn) was the best i got

[dense belfry]

Are the numbers positive?

[muted oxide]

they are integers

[dense belfry]

Oh okay

Do you know a good solution for fixed size 3?

ie is there one which is nlog(n) or something

[muted oxide]

for size of 3 i think there is one O(n^2)

[dense belfry]

Oh huh

How about for finding if there is 3 with sum <= k

[muted oxide]

not sure if I've seen something like that before

[dense belfry]

Wouldn't you just test the bottom 3 for that actually

[static loom]

maybe I'm thinking of a different problem, but I think I saw someone do something where they had the numbers in order, added up all the numbers and then subtracted the highest and lowest from it alternating or something like that, idk that's probably bad haha

[dense belfry]

You can definitely get O(n^3) by using the O(n^2) solution for 3 on the set minus the point you are considering, right?

[muted oxide]

yeah sure I've considered that before i think

[dense belfry]

Makes sense

I only said it because you said n^3 log(n) was the best you had

Am I not computing O correctly there?

[muted oxide]

no it is correct, probably i meant O(n^3) was the best i've got

[dense belfry]

Oh okay

Is it O(n) for the k=2 case?

That's probably too optimistic

[muted oxide]

O(nlogn)

[dense belfry]

Makes sense

[muted oxide]

just iterate and binary search

[dense belfry]

Okay I want to try using that one

Okay so.the lowest elements that you can get with a sum of 2 elements is 2min and the highest is 2max right?

Or rather I'll say that the set of elements that is a sum of 2 elements is of what size

What's the worst possible case for that?

Hmm

[muted oxide]

the length of this set is O(n^2)

[dense belfry]

That sucks

I was hoping there had to be repititions

[muted oxide]

I mean, there might be repititions, but u should treat them as distinct numbers

[dense belfry]

Well if there were enough repititions that you could get it down to O(n) then you could have made an algorithm using the k=2 case

But that's a bit of a pipe dream I guess

[muted oxide]

yeah, we should consider the worst case

I think I will just do some googling

Thanks a lot though

[dense belfry]

Yeah this was pretty fun

[tender tulip]

Can someone point me to a good proof of the Weierstrass product theorem

[terse flax]

From Weierstrass Product Theorem, the function:

h(z)=zm∏n=1∞Epn(zan)
defines an entire function that has the same zeroes as f counting multiplicity.

Thus f/h is both an entire function and non-vanishing.

As f/h is both holomorphic and nowhere zero there exists a holomorphic function g such that:

eg=f/h
Therefore:

f=egh
as desired.

QED.

[dense belfry]

@muted oxide wait why can't you compute all of the sums of 2 elements, then check if any two of those add to to your number

That should be n^2log(n)

[tender tulip]

nah I meant the more funny stuff particularly this one part

[dense belfry]

smh I basically had it earlier

@static loom

[muted oxide]

I've found something online like that

[dense belfry]

Yeah this was the direction I was going earlier lol

I just didn't think it through

[cobalt star]

hello people random question

If you take any 2D cross section of the graph of a 3-variable quadratic equation in 3d space

do you always get a conic

[tender tulip]

I thought you only get conics from x^2 + y^2 = z^2 and then making some equation that defines a plane from x,y, and z

And then solving for x and and y

[cobalt star]

yeah but i graphed a few other quadratics in 3d

and they look like their cross sections would also be conics

[tender tulip]

Possibly?

[cobalt star]

remove the cos?

substitutin

idk also good job for learning calculus at 12

[mint patio]

[feral salmon]

Does anyone have any mechanical pencil recommendations? I normally just use staedtler wooden pencils but I got some cheap mechanical pencil in a stationary set and fell in love (despite its many flaws), so I’m looking for something a bit better. Just for secondary school work (maths, physics, chemistry, engineering, English)

[pale orchid]

i like the zebra delguard and the uni kuru toga

i'm rather heavy handed so the former works well for me

[feral salmon]

Thanks will look into that. I like uni pens so might have to try kuru toga

[ripe wasp]

i have this lamy mechanical pencil that ive been using for 2 years straight idk i love it

[neat lintel]

I started studying mathematics in the library just from my book without bringing my laptop, which I really like for my focus. However, I sometimes like having access to a tool like Wolfram Alpha or Symbolab to solve something if I am super stuck. Does anyone have suggestions for something like that as a phone app? I am fine if it's paid as well

[surreal sapphire]

there is a paid wolfram alpha app

which is wolfram alpha with pro features

or at least used to be when i got it

[neat lintel]

I used that once (a long time ago), but it was very difficult to type in a longer formula with how it was setup

I'll try it again, thank you!

[surreal sapphire]

yeah, but i think thats a general problem of phones

[neat lintel]

it's hard to type in integrals I found especially with limits.

[neat lintel]

fair

[surreal sapphire]

wolframalpha understands natural language quite ok

so you can do things like

,w integral of x^2 from x=1 to 42

[fathom swallow]

Results provided by WolframAlpha

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

Requested by Lochverstärker#5585

[neat lintel]

oh nice, thanks!!

[marsh rover]

Looking for some loose excuse to myself to take a grad diploma/masters in maths. Is being a credit analyst a good job?

[long matrix]

@civic knot did u find a proof? If you open a help channel I could explain rn

[civic knot]

sure

[modest rune]

Lots of people I know love graph gears

[modest rune]

Just use the wolfram website from your phone

[crystal stream]

is it just me or does wolfram have a really short computation time limit now

,w sum k = 0 to infinity 1/(k^2 - x^2)

[fathom swallow]

Results provided by WolframAlpha

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

Requested by random variable#9861

[fair mural]

[crystal stream]

oh okay, a few days ago it wasn't able to compute it

[wooden flax]

sus

[tender tulip]

that limit is a motherfucker to calculate using l’hopitals

[mint patio]

This is insane

[crystal stream]

its an exercise in stein's fourier analysis

basically follows from the fourier series of $cos(\alpha t)$, $alpha \in \mathbb{R} - \mathbb{Z}$

[fathom swallow]

random variable

[mint patio]

Very very cool

[ancient flame]

somebody just commented on one of my math youtube videos asking for help with a physics problem... tf

[serene rover]

[ancient flame]

lol

[cinder zephyr]

Status of my number theory HW rn

[dense belfry]

Gmod makes videos

Huh

[sick burrow]

fascinating

it's so weird to see gmod with the new pfp

since it's all calm and serene and shit

but then you remember it's attached to gmod

[neat lintel]

what is a lemma

[leaden torrent]

you can google things rather than pinging people hours later to answer your questions

[neat lintel]

sorry

[surreal sapphire]

[neat lintel]

[surreal sapphire]

once i spent 2 pages in a homework proving some lemma and it turned out the professor just forgot to prove it in the lecture

or add it as a blackbox assumption to the assignment

[neat lintel]

maybe he wants you to just prove it yourself

[surreal sapphire]

no, i asked

[neat lintel]

oh

[surreal sapphire]

also

"very nice, but you can consider this well known"

this hurt

[maiden bear]

lmao

[toxic schooner]

Oof

[final atlas]

Sorry to bug but could anyone help in #help-20

[devout nacelle]

Oh hey I can understand some of the German here

sehr gut, hier, aber

[maiden bear]

sehr gut aber

[surreal sapphire]

you probably also understand "well-known"

wohlbekannt

i spent a long time on this part of the proof, it wasnt well known to me

in fact it was the hardest part for me and i came up with the argument myself

[brisk briar]

what's a good number theory course to help in olympiads

[outer sigil]

Hi , can you help me please to understand math/algebra grades by complexity ?

which algebra is first in schools , elementary algebra or pre-algebra ?

[alpine kindle]

pre-algebra I believe

but that's just arithmetic i think

[outer sigil]

which is not algebra at all right ? if it's arithmetic

[alpine kindle]

yeah

elementary algebra is usually solving poynomials

[outer sigil]

poynomials ? or polY ?

[alpine kindle]

polynomials

[outer sigil]

and then after those 2 come so called algebra I and then algebra II ?

[alpine kindle]

no

elementary algebra is algebra i and ii

[outer sigil]

so it means elementary algebra is whole school algebra ?

across all 12 years ? I mean after algebra is starting, I believe from 5grade in school

[alpine kindle]

elementary algebra is called that to distinguish it from abstract algebra and linear algebra

[outer sigil]

)) you completely killed me coz I had so different picture of that in head

I think first of all I need to understand schools by grade and then understand how algebra is enveloped over it

[alpine kindle]

elementary algebra is solving equations involving indeterminates
abstract algebra is the study of operations over sets
linear algebra is the study of linear maps between vector spaces

[outer sigil]

so you might have elementary algebra even in institution ?

[alpine kindle]

not really

[flat harbor]

functional analysis is the study of operations over sets
pde is the study of operations over sets
algebraic topology is the study of operations over sets

[alpine kindle]

most more complicated equations are solved using analysis and abstract algebra

[alpine kindle]

all of those look at different aspects of operations over sets

[outer sigil]

I thought school is divided in 3 main parts , elementary school , middle , and high school

[flat harbor]

the tragedy of nuance

[alpine kindle]

whereas AA looks at the structure of the sets under those operations

[outer sigil]

that all within one building and 12 years of education in it

[alpine kindle]

yeah no that depends heavily on country

[flat harbor]

there are other cultures

[alpine kindle]

in the uk it's 14 years of education split in half into primary and secondary school

[flat harbor]

elevator schools are one of the most horrid tropes ever tbo

[alpine kindle]

what are elevator schools

[outer sigil]

all 14 years happen in one place/building ?

[alpine kindle]

depends

[flat harbor]

12 yrs in one building

same ppl

same teachers

same campus

[outer sigil]

and rest 2 where ?

[flat harbor]

for 12 fucking years my god

[alpine kindle]

usually there's separate primary and secondary school in the uk
some people switch for the last 2 years

often primary school is also split as well

[outer sigil]

))

ok so we will take 12 or 14 years of edu

which one is more convenient for you

[alpine kindle]

how old are you

[flat harbor]

lmao

[outer sigil]

22

[flat harbor]

that wasnt expected

[alpine kindle]

no it depends on country

[outer sigil]

and from which grade/year among those 14 you start to learn algebra ?

[alpine kindle]

depends on country

education system in general

[outer sigil]

for your country

[alpine kindle]

in the uk

well

hm

i actually can't remember

my primary school went quite a bit ahead

so idk

[outer sigil]

ok .. in UK you have 14 years in school , and when arithmetic are over and children start to manipulate variables

[flat harbor]

in korea its like 5th grade

[outer sigil]

ah , ok ..

@flat harbor so in korea 5th grade children start algebra right ?

[flat harbor]

u get introduced to the concept of "x" in 4th? or 5th i think

[outer sigil]

before algebra it's all numbers without variables aka arithmetical equasions

[jade crane]

no reason not to introduce algebra early no?

i think a lot of people see it really early on like 1st or 2nd grade if they do amc 8

[alpine kindle]

why do you ask

were you homeschooled

[neat lintel]

ugh, children are fucking dumb

[outer sigil]

)) no they are not

in hands of dumb parents only

so , when x,y and variables are introduced , how that "first" algebra is called ?

[fair mural]

algebra 1

[jade crane]

does it have to be formalized

lol

[outer sigil]

I need to find a very beginners book , that's the point here ))))

and I can't

[alpine kindle]

in the uk we don't call it anything special

[outer sigil]

they are ocean of books and I'm drowning

[neat lintel]

first order logic

[jade crane]

@outer sigil I recommend Dummit and Foote's Algebra

it's a good introduction to algebra

[alpine kindle]

search elementary algebra

[fair mural]

nooooooooooo

[flat harbor]

we just called it "5th grade maths" lmao

[alpine kindle]

same

[flat harbor]

the first time actual names are introduced into math was hs

[alpine kindle]

we never do

[tender tulip]

We did algebra in middle school

I took algebra in 7th grade which was way late

[outer sigil]

@tender tulip what range of school years is middle school ?

[flat harbor]

we used Math I, Math II, Calc I, Calc II, Geometry and Vectors, and Stat and Probs

[tender tulip]

7-8

[jade crane]

i mean surely people taking algebra already know how to solve stuff.. right?

like theres no way they've never seen variables before

or equations

[tender tulip]

d e p e n d s

[neat lintel]

algebra is groups, rings and modules

[jade crane]

[tender tulip]

algebra(s)

[neat lintel]

that too

[jade crane]

how about sigma algebras

don't forget them

[tender tulip]

sum shit

Wait

[alpine kindle]

cambridgemo

[flat harbor]

death of the monoid

[tender tulip]

Index shifts, uh, that’s about it

if that’s what your referring to

[flat harbor]

no.... wheres my countable intersection of finite union of sigma algebra......

[tender tulip]

i am going to intersect your mother

[neat lintel]

those are not algebraic structures

[outer sigil]

algebra starts with linear equations right ?

[tender tulip]

i am hoping he is referring to just shit with sums

[jade crane]

No, it starts with rings camel

[neat lintel]

algebra starts with unital magmas

[tender tulip]

And not the more complicated lowercase sigma

OH

[outer sigil]

wtf is rings ..

[jade crane]

@outer sigil you can try Artin's Algebra

if you don't like Dummit and Foote

[neat lintel]

a ring is a preadditive category with 1 object

[tender tulip]

I never actually took any formal class past Algebra 2 so I don’t understand any of what you’re saying besides what a ring or field is

[outer sigil]

@jade crane that one ?

https://www.amazon.com/Algebra-2nd-Michael-Artin/dp/0132413779

[flat harbor]

i recommend langs algebra for a quick review on important topics

[jade crane]

yea but you should check out a pdf first

[tender tulip]

It’s probably something like “set with operations”

[jade crane]

to make sure you like it

you know, one that you could probably find online

[rose dock]

I recommend Lang's algebra for a quick way to demolish your motivation for learning algebra

[outer sigil]

I know ) thanks everyone I will try to find them and hope it will be good for very beginner in algebra

[tender tulip]

I just read about random shit online mostly pertaining to basic complex analysis

[flat harbor]

yea dont do algebra do pdes or smth

[tender tulip]

I get the gist of what a reimann surface is but manifolds are beyond me because I never took topology

[neat lintel]

i know what manifolds are but idk what riemann surfaces are

[tender tulip]

“Multivalued functions” in the simplest terms

(In the simplest terms, keyword simplest)

[neat lintel]

no

[outer sigil]

@rose dock why Lang's algebra demolishes motivation ? ))

you mean that one ?

https://www.amazon.com/Algebra-Graduate-Texts-Mathematics-Serge/dp/038795385X/ref=sr_1_1?crid=E03WZ338GS1L&keywords=Lang's+algebra&qid=1644158182&s=books&sprefix=lang's+algebra%2Cstripbooks-intl-ship%2C248&sr=1-1

[tender tulip]

G R A D U A T E T E X T S

[jade crane]

yea it's for if you want to graduate

[rose dock]

Because it's dense, relatively hard to read, and offers no motivation at all

[jade crane]

high school

that's why it's called a graduate text

[alpine kindle]

ok @outer sigil seriously they're all trolling
read Euler's book on algebra it's actually good

[flat harbor]

uh oh someone said the r word

[tender tulip]

I like having motivations for things

[tender tulip]

I didn’t realize and why the fuck wasn’t it deleted

[outer sigil]

@alpine kindle which one is that can you post a poster or link ?

[flat harbor]

in which euler presents revolutionary algebra, such as the = sign

[tender tulip]

I am going to look for a Topology Book, a Real Analysis Book, a Complex Analysis book, and an Algebra book that hopefully goes into motivations for shit

[flat harbor]

theyre easy to find

[jade crane]

I like foundations of mathematical analysis

[flat harbor]

i hate foundations of mathematical analysis

[jade crane]

by johnsonbaugh and pfaffenberger

[flat harbor]

based

[tender tulip]

I already have gone into a little bit of complex analysis so real analysis is going to be slightly annoying

Because why no complex variable, it do hold tho

[rose dock]

Honestly rudin unironically isn't that bad if you're up for the challenge

[flat harbor]

i enjoyed stein for canal

[jade crane]

[deep mango]

[tender tulip]

do they provide motivation

[jade crane]

me going through rudin again to review for this semesters probability class

[flat harbor]

yea for most of the process

[deep mango]

RUDIN!!!! someone give me rudin! I am a rudin boy! ROOOODIN!!!!!

[tender tulip]

Because the amount of effort I took because I wanted to prove or get a better understanding of basic calculus shit was a LOT

[jade crane]

[tender tulip]

because the thing I was reading gave no fucking intuitions

[flat harbor]

no screeching with notational purity

[sleek wing]

Rooners
Oh god I'm gonna ROOOONNNN

[rose dock]

Rudin doesn't really give a lot of intuition

[deep mango]

[rose dock]

You've gotta develop it urself

[flat harbor]

ive yet to see a good ranal book with good intuition

[tender tulip]

Any books you recommend before Rudin

[flat harbor]

might be that its just that kind of a subject

where u need to internalise it urself

[deep mango]

heavy minus sign!?!??

[flat harbor]

holy shit they added vectors to the analysis this is so awesome

[tender tulip]

Basically my general path I want to take is Topology, R/C analysis, Algebra, and then group theory

[rose dock]

Abbott Spivak and Tao are all options depending on your cup of tea

[flat harbor]

tao 🍞

[rose dock]

I'm not a big fan of Tao myself

[tender tulip]

I go to take shower goodbye people

[rose dock]

It's super tedious in the earlier sections

[neat lintel]

fuckkkkk

[alpine kindle]

https://archive.org/details/ElementsOfAlgebraLeonhardEuler2015/page/n15/mode/2up

it's a few hundred years old so the language is a little funky

but it covers everything well

[outer sigil]

@alpine kindle yes , it really looks good at first sight

thank you

[tender tulip]

I was thinking about more abstracted algebra

[alpine kindle]

principles of mathematical analysis by walter rudin

[rose dock]

Artin

[neat lintel]

Aluffi

[alpine kindle]

actually knapp

knapp is just artin with more content

and category theory

[ancient flame]

🐈

[solar hound]

interesting: n - 1 and n + 1 (and thus (n - 1)(n + 1)) won't share any factors with n (other than 1 ofc)

assuming n is an integer

[alpine kindle]

n² - 1 does share factors with n if n = 1

[solar hound]

and (n - 1)(n + 1) is n^2 - 1^2 or just n^2 - 1

[solar hound]

1 - 1 = 0

[alpine kindle]

yeah

1 is a factor of 0

[solar hound]

isnt everything a factor of 0

that feels like cheating

[alpine kindle]

yes

it's not cheating

it's a true statement

[solar hound]

well

ig

[alpine kindle]

n is a factor of n-1 and n+1 for n=1

[solar hound]

interesting

for all non 1 positive integers

n does not share factors with n^2 - 1

i wonder if it shares factors with n^2 + 1

for non 1 positive integers

[alpine kindle]

uhh

well

for the integers n²+1 is irreducible

[solar hound]

it makes sense

n + 1 shares no factors with n

meaning n^2 + 1 shares no factors with n^2

meaning it can't share factors with n either

for non-1 ofc

[alpine kindle]

yeah

but

over the gaussian integers

you can decompose n²+1 into (n+i)(n-i)

so you just have to prove n neither divides n+i nor n-i

[neat lintel]

i love you i love you i love you i love you

[alpine kindle]

unexpected

[solar hound]

working on this

any facts i should add?

[prime sonnet]

this question is calculatable or nah

I am struggling whether it is possible to find f(-1)=? by using f(x+2) remainder or sth else

[surreal sapphire]

please read #❓how-to-get-help

[cinder flume]

there is literally nothing special about it

except for being palindromic

its special in the sense that its not special

[cinder flume]

right now im reading knapp

and im really enjoying it

best algebra book I have seen

[solar hound]

exactly

[ancient flame]

every once in a while, I search my name on discord to find what people are saying about me

is it just me that does this?

[jade crane]

gmod sucks

ban him

[ancient flame]

damn

ban gmod

ban g mod

bang mod

;)

[cold needle]

[ancient flame]

oh I like the new mod color

[sick burrow]

[alpine kindle]

you still haven't explained this...

[fair mural]

the explanation is that carla is very random and half the time what she says is total nonsense

[compact tartan]

lonely

[neat lintel]

does it need an explanation

[jade crane]

hey mods can you moderate me

otherwise I will meow uncontrollably soon

[neat lintel]

moder

[sleek wing]

meowing nuns ref

[jade crane]

meow :3

[tall badge]

rly?

[neat lintel]

🚯 ⛹️

[jade crane]

sowwy I won't meow in public

[neat lintel]

you will

[long matrix]

does hwk for once -> wtf does this mean -> 4 hrs relearning -> still can't do it D:

[surreal sapphire]

mood

[sick burrow]

honorable color looks so weird now

[median zinc]

mood, and literally every weekday

[lyric axle]

#changelog

we done it because of the light mode users

but according to this answer i found to why light mode is better

When it comes to visual-acuity tasks and proofreading tasks, studies have shown that people with normal and corrected vision perform better with light mode. This means that text in light mode is clearer and quicker to understand for people with normal or corrected vision.

get some glasses dark mode users

[sick burrow]

Don't care + ratio

[neat lintel]

Visual acuity?

It means ability to discern images well?

[mint patio]

New Honorable color makes me so sad

It looks so much less vibrant

[sick burrow]

it's stinky

[neat lintel]

ikr

this server is getting even worse than it already was

but there's a fix

i made a script to change honorable color to the previous one

[fair mural]

[tall badge]

there are bdd plugins that let u locally edit servers/roles/users

[neat lintel]

okay but i have a depression

[fair mural]

oof

[neat lintel]

i can't even call suicidal hotlines cuz i'm not suicidal

but i see no reason to live

[fair mural]

@neat lintel you should call a hotline

[neat lintel]

maybe, but i'm already a hot3-manifold

[dire sandal]

I used to think that a year ago

[neat lintel]

same

[dire sandal]

But now I see that life is actually beautiful

So many things to see and learn

So many opportunities to take

[neat lintel]

can't learn shit or take any opportunities if you do nothing all day

[dire sandal]

Then do something

You have control over ur own life in many ways

[dire sandal]

How

[neat lintel]

doubt

[dire sandal]

Have you tried to take control?

[neat lintel]

yea

it doesn't last long

habits always win

[fair mural]

please don’t hurt yourself

i’m confident that many people care for you

[dire sandal]

Yeah

[tall badge]

@neat lintel unfortunately this isnt the place to discuss ur depression, pls see someone equipped to help u

[dire sandal]

Yeah, I would recommend trying to talk to a professional who knows how to help you

[neat lintel]

doctors are scams

[dire sandal]

Not a doctor

[neat lintel]

bro there was someone who tried to help me, and they failed so hard they tried to end themselves

anyway

mod doesnt want this topic

[deep needle]

[neat lintel]

life is so weird

[tall badge]

@neat lintel yes this isnt the place. again we're not equipped to help u, pls find someone who is

[neat lintel]

sometimes its like a Flick of a finger

[dire sandal]

Wdym

[neat lintel]

i tried, waste of money and no effect

anyone likes Banach spaces?

i wonder

are there nonisomorphic complete Banach spaces of same dimension?

[deep needle]

[neat lintel]

isomorphic as TVSs

[inner finch]

flick of da rist

[dire sandal]

Ur emeritus now?

[inner finch]

aam i

i guess

dam

[neat lintel]

what is an emeritus

[dire sandal]

Used to be active but not anymore

[tall badge]

active isnt necessary for emeritus

[neat lintel]

i used to be an emeritus but not anymore

[tall badge]

u just rejoined, give the bot some time to sync

[deep needle]

i wish i had some hagoromo chalk and a chalkboard

so i can eat the chalk and do math on the chalkboard

[deep mango]

i have a piece of hagoromo right here in my office with me

it's very nice

[meager vault]

https://www.youtube.com/watch?v=f5_7lUK3x8c

[rotund steppe]

chalk addicts

[limber thunder]

does it taste good

[last elbow]

ok this is cool
ive been messing around and S(n, m) = s(n, m) for all n, m elements of the natural numbers

[static loom]

looks like you've probably effectively rediscovered some identities of bernoulli numbers

[last elbow]

yeah! i looked up the general form for s(n,m) and saw that it was related to the bernoulli numbers

and then i tried to construct it without them

knowing that eventually it would probably end up being the same as the bernoulli numbers

but i still dont know what part of that formula looks bernoulli-ish

[static loom]

you can write the stuff in the product in terms of factorials that might help simplify it down a bit

[last elbow]

oh yeah it can totally be written better, just desmos is annoying so i just did it like that
i know bernoulli numbers have the rising factorial as well as other factorials, but you cant write that in desmos
i need to learn latex soooooon

the wonderful thing is that there is still another way of writing it that i have yet to figure out, that i am pretty sure exists based on the patters i was studying

a project for tomorrow

[little vine]

I just learned about them too

[deep mango]

i haven't tried, but i'm definitely willing to

[crystal stream]

i got stuck trying to prove a recurrence for the bernoulli numbers

something like $B_n = - \frac{1}{n+1} \sum_{k = 1}^{n-1} {n+1 \choose k} B_k$

[fathom swallow]

random variable

[crystal stream]

not sure why I ended up doing bernoulli numbers while reading a fourier analysis textbook

[deep mango]

special functions

[crystal stream]

"hey i need to solve this integral"

"oh it can be written as H(0.2,0.5,2,3,6,8, e)"

[bronze pelican]

So true

I love that

[mint patio]

Hi

Am I blind

This is the radius of curvature formula right

[wraith cedar]

Yes looks like it

[mint patio]

Aren't you in 9th grade bro

[wraith cedar]

9th grade?

I’m an adult

[mint patio]

Oop

My bad

Lulw

Thank you

[wraith cedar]

I missed out on almost all of highschool, I had to drop out for personal reasons. Now I’m currently studying for my GED and trying to learn highschool level math very quickly.

That must be why you are confused

[cyan goblet]

ay

respect man

i dont know any services to find local tutors but i would say that khan has a good high school curriculum

[wraith cedar]

I appreciate your answer, I’ve heard this but I’ve found khans videos to be confusing for a multitude lol of reasons. I’m not trying to learn everything khan academy covers, only what I need for the GED. I also find the way they teach to be terrible and I have a hard time grasping the subjects, then for what I do need to figure out it’s hard to actually find in khan academy

[warm yarrow]

Ever tried "Basic Mathematics" by Serge Lange?, It covers all of HS math.

[wraith cedar]

That’s not quite what I’m looking for but if worst come to worst I’ll look into it

[warm yarrow]

What are you looking for?

[lyric axle]

yeah?

[wraith cedar]

Honestly at this point directly tutoring with certain concepts, I’m quite close to completing my GED

[warm yarrow]

Ahh I see, any plans after you complete it?

[wraith cedar]

I’m going into college to study forensic anthropology

[warm yarrow]

Sounds nice, I'm not familiar with that field of discipline. I did look into it just now and it looks interesting. gl

[wraith cedar]

It’s fascinating

[stray kite]

whats the difference between vector calculus and multivariate calculus

[charred mortar]

I don’t see any myself tbh

The multivariate courses/books seem to focus more on R2 and R3 specifically in my (very limited and biased) experience

But even then there may be discussion of generalizing to Rn in a few simple cases

[tall badge]

i see vector calc as included in multi

[stray kite]

im taking both courses at the same time lol

so i wonder how that'll work out

[neat lintel]

I'd recommend choosing one tho

but don't listen to me

[static loom]

at my uni multivar was intended to be taken before vector cal

[long epoch]

🤨

[static loom]

if you're fine with linear algebra you can probably do both simultaneously, they have a lot in common

[long epoch]

did they not teach lin alg before hand

[static loom]

?

that's just how the classes were arranged as one being a prereq for the other

I think linear algebra was a pre req for multivar

[long epoch]

fair

[static loom]

this was just my university, could be different

[neat lintel]

u guys talking about intro to linalg? coz linear algebra is a torture

[static loom]

torture?

[neat lintel]

yes

I'm about to start studying it

when I finsih with groups and rings

[static loom]

don't call it torture if you want to get far in math