serious-discussion

[mint patio]

Ah, more words

[rocky shuttle]

Cauchy completion is just metric completion

Have you heard of that?

[mint patio]

Yeah I figured

Yes

[rocky shuttle]

A Riemannian metric induces a geodesic distance on the manifold if it is connected, are you familiar with that, too?

[mint patio]

I haven’t learned about connections but I’ve heard of them, unless you mean connected in the topological sense

[rocky shuttle]

The distance between two points is the infimum of the length of all paths connecting the two points.

[mint patio]

Yes

[rocky shuttle]

Yeah, that's the geodesic distance.

[mint patio]

Okay

Infimum of the measure of all homotopies between two points?

[rocky shuttle]

The length of a path is given in terms of the Riemannian metric.

[mint patio]

please tell me that makes sense

Yes I’m following dw

Will have to reread a bit at the end to see the big picture but individually most of your mathspeak makes sense

[mint patio]

@storm sage is this English

[storm sage]

No I have no idea what you're talking about

[mint patio]

fk

[rocky shuttle]

So, what you can do using this formulation is compute the geodesic between two shapes (closed planar shapes).

Essentially, interpolating two shapes.

[mint patio]

Wait wtf

[rocky shuttle]

(in a more sophisticated manner with interesting properties)

[mint patio]

How do you do the computation?? Add the two manifolds then compute the geodesic? I forgot the technical term for “add” here but it’s like gluing them together at a certain spot where you take out a ball or wtv

[rocky shuttle]

To compute a geodesic, there are two common approaches: path straightening and geodesic shooting.

[storm sage]

connected sum

[mint patio]

Yes thank you

[rocky shuttle]

In the path straightening method, you start with a path (of shapes) connecting the two shapes and minimize the so-called horizontal path energy.

In the geodesic shooting method, you start with a shape and an initial guess (direction / tangent vector at that shape), solve the initial value problem for the geodesic equation until some time T, and adjust the initial condition based on where you end up relative to the target shape until you are close enough to it.

[mint patio]

That sounds better for computation

Like with a computer

[rocky shuttle]

@mint patio I have to go now, but here are some references:
https://arxiv.org/abs/1207.5965
https://arxiv.org/abs/math/0312384

[mint patio]

Thank you!!!!

That was so cool

Especially when you got to the kicker

So a shape manifold is the quotient of smooth embeddings from S^1 to R^2 by diffeomorphisms from S^1 to R^2

[rocky shuttle]

People also work with smooth immersions instead of embeddings, but you end up with a shape orbifold, not a manifold.

[mint patio]

You throw a Riemannian metric on that bad boy, it’s necessarily weak

That generates a geodesic (assuming shape manifold is connected)

You use that geodesic to ‘interpolate’ two shapes (necessarily smooth planar closed shapes ofc since they have to be diffeomorphic to S^1)

Computations of that geodesic are done by path straightening or geodesic shooting

Is that a good high-level overview?

[mint patio]

Orbifold?

Thanks Zan <3

[rocky shuttle]

next time, maybe

[rocky shuttle]

<3

[neat lintel]

@mint patio stsfn means "save that shit for nationals"

originates from fighting games

[mint patio]

LOL

[neat lintel]

"nationals" refers to big tournaments (national tournaments)

the "shit" is like

strong tricks or tactics in the game

stuff even a good player could probably not adapt to on the spot if they've never seen it before

[mint patio]

So you’re saying you’ll wait until I get farther into math 😛

[neat lintel]

i could also just be bluffing

only way to find out is to come to nationals

[mint patio]

LMAO

one day

[neat lintel]

i've been counting a lot recently

combinatorics is making its way to my bucket list of things to learn

[mint patio]

did u see the combi problem yday that’s equivalent to RH

[neat lintel]

[mint patio]

let me find

credit @hollow jackal

[hollow jackal]

further credit to Mathematics and Computation by Wigderson

[neat lintel]

hmmm

[mint patio]

I don’t see it at all

It’s so crazy

[latent edge]

I see RH, I read

[mint patio]

Excellent reading abilities mister Deltoid

[neat lintel]

i veeeery vaguely see it. the mobius function pops up in analytic number theory, and the question in the second paragraph looks like an estimation kind of thing (which is a common form of the RH in ANT)

[mint patio]

Truly a scholar of the ages

[neat lintel]

i do not remember the specifics of analytic number theory

[mint patio]

uh

wild guess but

maybe the sqrt part

1/2 idk

[latent edge]

ANT (analytic) is abuse big O/small O notations in a nutshell

[neat lintel]

$$\frac{1}{\zeta(s)} = \sum_{n=1}^\infty \frac{\mu(n)}{n^s}$$

[fathom swallow]

TTerra

[mint patio]

Oh

That’s cute

[latent edge]

yeah that comes from the Dirichlet convolution

[neat lintel]

[mint patio]

Succubus

If I want to learn French can I practice conversing with you?

[neat lintel]

sure ig

[latent edge]

Process of learning ANT

1. Learn about basic NT
2. Multiplicative/additive functions
3. NT functions
4. Dirichlet convolution
5. Dirichlet series and modular forms
6. sieve sieve sieve sieve sieve sieve sieve sieve sieve

[neat lintel]

go do them all

[mint patio]

“NT functions”

[storm sage]

hype

[latent edge]

Ram Murty's books are great imo

[neat lintel]

took a class which followed this book

prof kinda sucked lol

like really sucked

ruined it 4 me

analysts teach a good class challenge

[latent edge]

damn

what uni?

[neat lintel]

are you a cop?

[latent edge]

nope

[neat lintel]

university of toronto

[latent edge]

oh classic

[hollow jackal]

this is exactly what a cop would say

[mint patio]

LMAO

[neat lintel]

i will not name the professor but it's probably not hard to find out if you cared

[latent edge]

yeah just requires some additional googling skills

[mint patio]

we have like two undergrad analysis professors but they’re both really great and best friends to boot

[mint patio]

this is 100% cop language

[latent edge]

I'm not a cop tho 😭

[mint patio]

I quote Maximo

[neat lintel]

the university of toronto is such a goofy place

[mint patio]

This is exactly what a cop would say

[neat lintel]

"teehee we have so many staff but are still so dysfunctional :3"

[latent edge]

I heard so many stuff about it

[mint patio]

I feel bad for laughing

[neat lintel]

it's hard to say good things about it to be honest

UofT is like "lol we have high prestige so we can do whatever the f we can do with the students (including making their life miserable)"

kind of true

a physics teacher in highschool told me that uoft does not care about their undergraduates and i thought she was lying until i got to my last few years

That's why I went to TMU

you can call it ryerson it's okay

yeah but some ppl are you yk

"NO ITS NOT RYERSON"

uoft now caps the number of grad courses an undergrad can take

bahen is an extremely depressing building

UofT is depressing

UWaterloo as well

[storm sage]

Lol

[proud olive]

What's UofT?

[mint patio]

Waterloo is a funny name

[storm sage]

My uni does smth similar, you have to pay grad tuition if you take over 50% grad courses for some programs or something

[neat lintel]

i love walking into bahen and seeing the new stuff they put up to ||stop students from killing themselves in the building||

[storm sage]

The policy isn't clearly outlined anywhere

[mint patio]

University of Tarantino (Toronto)

[proud olive]

ty

[mint patio]

Foot fetish galore

[storm sage]

So I actually have no idea what the exact policy is

[mint patio]

:(

[neat lintel]

yeah feather

[neat lintel]

Google the meaning of "loo" just to make it extra funny

i'm not joking

dead serious

[storm sage]

Wait TTerra what stuff

Besides the weird windows

[mint patio]

like nets…?

[neat lintel]

last i checked they just completely got rid of the railings and put up huge grey swiss cheese looking walls

UofT would do anything to keep their prestige

[storm sage]

Fwiw I don't think my uni cares about the undergrads, grads, or workers

😍

[fickle cradle]

Lmao our British Tory government wastes our resources on hiring corrupt workers or inviting their incompetent friends through cronyism, yet they say rhwley can't afford money for their own doctors 😂

Moral exams and ethical exams should be required for all of them

[neat lintel]

baffling that it took four people killing themselves for uoft to do something about their stupid ass CS program entry requirements

nobody should go here

[mint patio]

be well tterra :(

[neat lintel]

every once in a while i get angry about this

but i graduated now

all i can do is convince people not to go there

[mint patio]

grad school when?

where?

[neat lintel]

unsure

[storm sage]

if?

[neat lintel]

might apply in the upcoming fall

[mint patio]

That’ll be exciting

[fickle cradle]

You can't blame the people for electing a former criminal as prime minister i.e . Borris the party should take responsibility for hiring him

[neat lintel]

okay sorry i said some depressing stuff in chat LOL

[mint patio]

LMAO Nah it’s good that you’re passionate about it

[neat lintel]

my bf's mom works at another university in ontario and she's trying to get me to apply there

[mint patio]

I don’t think anyone disagrees with you that it’s fucked

go to uc berkely and say hi to ryc & ange

[neat lintel]

oh also uoft charges international students my total student loans PER SEMESTER

[mint patio]

sigh

one day college will be accessible

I pray

[neat lintel]

one day...

[neat lintel]

they have a lot of people working in things i like

which is a plus

and i might be able to convince her to let me rent a room in her big ass house if i go

[mint patio]

that’s a big benefit

[latent edge]

All what matters is that you graduated now and the bad days are hopefully over. Yeah, sometimes you will remember these days but whatever. The important thing is that you are still alive : )

[neat lintel]

i wasn't in cs

math is easy entry lol

they share the same building though

[latent edge]

Idk why but many people here are crazy into CS

[neat lintel]

$$$

[latent edge]

yeah true

[neat lintel]

every single person i knew IRL who wanted to go into CS was only doing it for the money

i speak in past tense because only recently have i met CS people who actually did it for the CS

||suspiciously technically-literate furries||

[latent edge]

It's kinda the same with people going for med school

Literally all of the dropouts are generally people who are doing it for money

Some still graduated but they still hate their lives

Or law school

idk much about law school tho

[meager delta]

https://imgur.com/gallery/dobpHtz is this a legitimate transform in geometric knot theory? Where does one even learn geometric knot theory?

[mint patio]

@alpine comet

[mental stratus]

[meager delta]

Also just generally curious if there has been any development of minimum ropelength exact formulas (also GKT) in the past few years. I don't even know how to approach it outside of bruteforce numerical analysis

[lavish kayak]

@neat lintel what subjects?

I will be touching some LA subjects we missed, prepare for an algebraic structures course, do some of the concrete math textbook and maybe if time permits some axiomatic geometry, but probably not.

Also I am hoping to dig at some undergrad level open problems as practice. Probably combinatoric stuff, there's one geometric problem I'm interested in.

[serene pulsar]

it is time for more math studying 💪

once I get this trig stuff down and finish the last 2 questions of this review I'm off to the final level review, level 6, which would place me in Calc 1 if I get above a 60

I looked it over and it doesn't look too bad, just a lot of new stuff I have to learn, so same as I've been doing

[mental stratus]

good luck

[burnt ledge]

whats Sally

whos sally

[long matrix]

enzis gf

[serene pulsar]

getting used to these trig functions and graphing sin and cosine waves is probably the hardest thing I've done so far. Still not bad, but definitely the hardest. Like a week or two ago I couldn't even subtract or divide fractions so it's kind of an adjustment

I like it though, it's fun and challenging and the first thing I've had to watch videos on instead of just getting some help here and figuring it out

I gotta hurry though if I want to complete level 6 in a week

[mint patio]

@hollow jackal dude we need to like

make a clone math discussy

a cranks role

and just herd them there

[hollow jackal]

lmaoooo

that's kind of genius lol

[mint patio]

would be so funny

like watching flat earthers discuss amongst themselves

that’s literally what they are though, conspiracy theorists 😭

[hollow jackal]

just a bunch of people trying to divide by 0

[serene pulsar]

You just reminded me that I had a dream last night where I looked at a graph, figured out that the graph proved you can divide by 0, and then promptly realized I was completely wrong and called myself an idiot lol.

Funny ah dream

[ivory forge]

what is a reduced residue system modulo p?

[surreal sapphire]

do you know what Z/pZ is?

[burnt ledge]

Surely thats just 1/p

😂

[ivory forge]

no

[surreal sapphire]

uh

in this case its a collection of p-1 numbers that are coprime to p and pairwise not congruent mod p

(assuming p is prime)

[ivory forge]

yeye

well

i dont understand this proof of the euler's criterion

it said

if g is a primitive root modulo p then the numbers g^i where i = 1,2, ... p - 2 forms a reduced system of residues mod p

[surreal sapphire]

not quite true, but ok?

[ivory forge]

whot

[surreal sapphire]

missing a number

[ivory forge]

p-1/

[fathom swallow]

themathboi

[serene pulsar]

I'm getting really used to these cosine and sine graphs now, it took me a second to realize sine starts at the origin (when C is 0) and cosine starts at the max or min value

I'm onto level 6 but I want to review level 5 after

[mental stratus]

[neat lintel]

People pursue careers so they can make money?

that statement wasn't a judgment of such people

i'm sorry if you feel attacked

https://tenor.com/view/sable-cute-dog-derp-gif-14862657

[limber thunder]

yes?

[neat lintel]

unemployment don't pay rent

[neat lintel]

en anglais svp

[neat lintel]

What was your GPA when you graduated?

why do you care

Just curious

What was it?

3.71

What degree did you get?

[little vine]

The hell is this animal

[neat lintel]

4 - epsilon if you ignore my first year

that was a rough time

[neat lintel]

just a little guy

some fluffy dude

looks like a bear

[neat lintel]

i did math

mostly pure math

what kind of interview is this

Trying to figure out why you behave the way that you do

Pyschoanalysis? idk

[burnt ledge]

idk if this is psychoanalysis

[hollow jackal]

tterra are you gonna be doing diff geo

i think i've asked you this before

[neat lintel]

strange

exactly what behaviour do you have in mind?

[neat lintel]

maybe

i have a vague mental list of topics i'd be interested in studying further

dg is one but not the only one

... although they all seem to have a common theme

[hollow jackal]

what theme is that

[neat lintel]

mathematical physics

[hollow jackal]

oh wow

[neat lintel]

mechanics was one of my favorite courses for example

insert either classical or quantum before mechanics there, they both apply

[hollow jackal]

hm well i was going to ask what kind of scale you wanted to work at

looks like you're fine with anything haha

[neat lintel]

mostly anything

[hollow jackal]

hm sounds interesting. hope you end up enjoying whatever you do

[neat lintel]

[neat lintel]

insane dodge

[hollow jackal]

probably a good thing

[neat lintel]

i just wanna know what they were thinking before they go on the filter

hmm

?

[neat lintel]

Was wondering why you would make assumptions like this then get defensive about it

I'm sorry if you feel attacked
Seemed like projection imo

what assumptions did i make?

The assumption was that anyone was even thinking about that

[neat lintel]

what exactly did you have in mind when you replied with this?

actually

nah i don't care lol

goodbye

Not what you assumed

i had assumed you were dense with the first couple of replies and the weird interview but now i know it for certain

hope you can find closure

https://tenor.com/view/get-real-cat-skate-funny-meme-gif-18666878

[neat lintel]

i should have mentioned

quantum includes c* algebra stuff

that's some yummy mathematics

functional analysis in general is kind of whatever to me, but the c* alg stuff in particular tickles my brain

[storm sage]

I don't know if this needs to be said, but uh, please don't attempt psychoanalysis on other people without consent and without being a professional

[hollow jackal]

i need to look into c*, and just functional analysis in general

is there a quick rundown on when you see C* in quantum?

[sharp cave]

Eberhard's Applied Functional analysis book contains this I believe

[neat lintel]

temperature is a lagrange multiplier

[hollow jackal]

im way out of my league here. i've never done lagrange multipliers nor enough FA

but c* does look more fun that FA

so i'll take your word for it

[neat lintel]

😭 It's not real "psychoanlysis"

[storm sage]

I'm not sure that makes it any better

If anything, just weirder

[neat lintel]

???

[storm sage]

Not even speaking as a mod here, just like, informing you that this is a weird thing to do

Online or in real life

You're not entitled to their life details, and if you're driving at something that you want to know then just ask that question

[neat lintel]

😭 You're assuming I was being serious by saying "psychoanlysis"

[storm sage]

No I know what you mean

Perfectly

[neat lintel]

The only serious part of that comment was "idk"

[storm sage]

I'm saying it's weird

[neat lintel]

quantum systems have corresponding hilbert spaces. observables are self-adjoint operators

and some more stuff i can't recall with a moment's thought

Okay

[sharp cave]

Volume 108:
5.18 C*-Algebras and the Algebraic Approach to Quantum Statistics

[neat lintel]

quantum statistics 😵‍💫

[meager furnace]

I got this question that asked to define the set of functions from Z onto itself such that f(2a) + 2f(b) = f(f(a + b)). What branch of mathematics would you guys say this falls under?

[neat lintel]

functional equations

i don't know if this is exactly a branch of mathematics but that is what these are called

[hollow jackal]

cocat you're a big analysis person. are you in grad school or anything

[meager furnace]

I'm trying to find good resources for techniques and strategies for solving these types of equations, you got any recommendations?

[neat lintel]

ngl sounds like some aops stuff

[sharp cave]

Yeah in grad school

[meager furnace]

Yeah I know it's a functional equation I'm just trying to figure out what to look for to find like, how to solve problems of this sort

[hollow jackal]

i see. you're just always answering my function sequence questions lol

[meager furnace]

I have a number theory textbook somewhere that briefly touches on this type of problem I just want like a full book on it if possible

[mint patio]

How do I construct a function to describe the curve of an irregular shape?

This is the shape in question

[hollow jackal]

#❓how-to-get-help

[mint patio]

LMAO

Should I go to a help channel idk

[hollow jackal]

nah this channel's always dead

go for it

[mint patio]

This is the shape in question, obviously whatever I construct won’t be an actual function but you know what I mean

Ignore the vectors

[hollow jackal]

is it a surface with a hole

[mint patio]

Yes

[hollow jackal]

do you just need any definition

[mint patio]

But fwiw the hole isn’t important for the geometry

[hollow jackal]

you could just parametrize this

[mint patio]

So we can ignore it

[hollow jackal]

then just parametrize an oval haha

[mint patio]

…how?

It’s not perfectly symmetric about x either, and the thing at the top is a circle

I also need it to meet at a cusp/point at the bottom

[rocky shuttle]

use a vector graphics software

[mint patio]

I must do it analytically :(

[rocky shuttle]

I don't think your sketch is analytic

[mint patio]

Not in the analysis way LOL

[hollow jackal]

what's the actual function for the boundary

like what are the specifications

[mint patio]

I don’t know, that’s what I’m trying to construct

Oh

It needs to be symmetric about the y-axis with maximum horizontal distance d from the center point

The height from the cusp to the center of the hole is h

Hm let me say that the profile around the hole isn’t circular, I want it to be ovular so I can change the height

[hollow jackal]

do you have a list of these specs in a picture

[mint patio]

Sure

Like that? Ignore the rest of it lol

Oh

The total height cannot exceed the height of the vertical boundaries at the sides of the photo

Huh wait this is just an ellipse you’re right lol

Ahhh only issue is the focus isn’t equidistant from the tips

[hollow jackal]

it'll be an oval then

maybe that's more obvious than i thought lol

but try to find a parametrization for an oval online

[mint patio]

Yeah okay, all I get are results for ellipses

[hollow jackal]

yep same here

https://www.mathematische-basteleien.de/eggcurves.htm

this could be promising

egg sounds about right

just elongate it

[rocky shuttle]

or search for symmetric airfoil

[hollow jackal]

oh nice

is the bottom sharp

[mint patio]

This looks promising!!”

Ah man this is gonna be a pain in the fkn ass lmao

I’ll give it a whirl and see what I get

What do the upside down pm mean?

[hollow jackal]

minus or plus

if they use +- and then -+ it means if one is -, the other is +

and vice versa

[mint patio]

But they’re using -+ for both, so would they be the same sign?

[hollow jackal]

should be, yeah

[mint patio]

Oh hey Wikipedia has a way easier eqn lmao

[rocky shuttle]

[mint patio]

Uhh

One thing I’m worried about

My “airfoil” is oriented vertically, theirs horizontally. Would it be fair to just swap x’s and y’s or do I have to solve for x in terms of y e-e

[rocky shuttle]

what's wrong with just swapping them

[mint patio]

Idk seems fine to me I just don’t want to fuck it up lol

It works! Thank y’all <3

Only issue is it’s the wrong side up

LOL

Fixed

Replace y with -y

[rocky shuttle]

surely you can figure out how to flip that

[mint patio]

I’m the goat of planar geometry don’t @ me

Hmmm I think I figured out how to do some cool scaling stuff too

I can construct this exactly as I want

This is so cool since I’m trying to use it for actual stuff

Anyone wanna know what I’m doing this for?

Say yes because I have a feeling I’ll encounter problems and I’m gonna not know what to do :D

[hollow jackal]

yes

[mint patio]

So

Assuming static equilibrium, I can find the axial force B going through the blue rod

This is what I got

(F is fixed)

Uhhh that’s kinda wrong since that assumed that the line of action of B coincides directly with the center of the hole, so I’ll have to redo it a bit, but just go with it for now

Clearly B depends on the parameters h and d, and I have a feeling once I redo the math it’ll depend on h’ too

I want to minimize B with certain constraints on h, h’, and d

The goal is to find the parameters h, h’, and d such that B is minimized

I think I’ll have to find theta too

Does that sound approachable? I’ll need a CAS for sure

[latent edge]

It took me hours to prove a proposition that was given as an exercise

I finally finished it : )

Now I can sleep in peace

[shrewd flower]

pro

[hasty peak]

[hasty peak]

sotru

[neat lintel]

they force femenized sully

[tough trellis]

z we should get rid of this discussion

it’s useles

[neat lintel]

Freshers courses, so calc 1,2 and linear algebra for now

[lavish kayak]

Alright good luck then, I don't think we will profit from each other

[shrewd flower]

[hasty peak]

tf r u pinging me for

[shrewd flower]

I didn't ping

[hasty peak]

u reply pinged, do u not know how to turn it off before replying

[shrewd flower]

i thought ping is @ ?

[surreal sapphire]

replies ping by default

you can disable it manually

[shrewd flower]

😕

[solid snow]

<@&268886789983436800> something's going on here

[neat lintel]

Thanks, you too

[nova zodiac]

Do you guys know any game to improve math skills? I wanna be able to calculate really really fast

[woven whale]

why

just use a calculator

[sweet juniper]

.

[nova zodiac]

I wanna have it

[snow berry]

duolingo math lol

[nova zodiac]

WAIT DOES IT EVEN EXIST

[gleaming adder]

it's trash

[snow berry]

https://apps.apple.com/us/app/duolingo-math-learn-practice/id1598161822

kkkkk

[nova zodiac]

Does it exist for android too?

[snow berry]

Not yet

its a new resource

[nova zodiac]

I wish I was able to use it on pc

[gleaming adder]

why do u even want it? The hardest thing on there is for like a 3rd grader

[snow berry]

i think its true

[nova zodiac]

I don't want lots of knowledge, I just want to be able to calculate so fast

[snow berry]

hmm okay

[gleaming adder]

and duolingo math is terrible for arithmetic imo

it's actually pretty hard to find something good, you're better off trying to find a random website u like

[nova zodiac]

What website?

I wanna see some game like osu about math

Osu requires calculation

[gleaming adder]

osu + math? Wtf

[nova zodiac]

Not as playing

Calculation speed

relate it

Imagine there is a calculation and marks under it

You should press by second in a row

[rocky shuttle]

osu + math

[nova zodiac]

It also might be crazily funny

[gleaming adder]

This is the only good website i know https://arithmetic.zetamac.com/

Actually pretty hard with default settings lol

[nova zodiac]

BRO THIS IS SO GOOOD

Thank you bro

[gleaming adder]

ikr?

it's so good

[nova zodiac]

It is literally almost as same as what I am looking for, thank you friend @gleaming adder

[nova zodiac]

What does ikr mean?

"I know really"?

[gleaming adder]

i know right

[nova zodiac]

Thanks

[stable ginkgo]

i have a really basic question
Suppose i and my friends invest 5 mil into my business and form shares in the name of my company and start it
Now i take on a project say make a small building
the money required for this project comes from this 5 mil right?

but then wont my valuation become less than before until and unless the revenue generated from the project makes me a net profit?

[violet wraith]

think of the building as a long-term investment

in your accounting, you will probably account for this expense over the period of its construction rather than all at once

you will hopefully generate revenues in other ways during that period of time

but then you will eventually start generating revenue from the building

and since it is a long term asset, you should continually make more money

but you should still account for depreciation on the building over this period, which will likely increase over time

but yes your net profits will be lower for a while but it won't be suddenly all at once, more like over an extended period of time you incur these expenses during the construction of the building

[long matrix]

gmod change your name to gmeow

[stable ginkgo]

okay

[stable ginkgo]

i see

also say i want to undertake a bigger project but dont have the capital eyt

so i get a VC for the money
now upon hsi investment my share values rise alot

[violet wraith]

take out a loan or wait

[stable ginkgo]

but this is also a way right

venture capitalist

[long matrix]

gmeow for mod

[plucky mural]

god, joined this discord for help with a problem I'm facing in Factorio of all things, then answered my own damn question lmao
(or, well, realized there was a fundamental flaw in my approach and then realized another easier way to do it, namely with bitflags; now to figure out how to read bitflags from an integer using combinators)

glad that a place like this exists though, the help room system seems really clever and I kinda can't wait to make use of it in the future (really wanna go back to college and pursue an associate's in math at some point)

[split pawn]

Welcome!

[plucky mural]

Hey thanks ^^

[violet wraith]

idk enough about that sorry

[plucky mural]

To idly ramble about what I'm doing since nobody's using the channel at this moment and the magic of the proverbial rubber duck is truly a powerful thing:

I'm playing with the Space Exploration mod (and Krastorio 2) and am working on figuring out how best to supply places with material via orbital cannon, and eventually rockets/hopefully spaceships. Using AAI Signal Transmission I can have a shared circuit network (that being a big list of signals wherein a given symbol, such as the one for iron plates or the letter A, has an integer between -2147483647 and 2147483647) with signal transmitters and receivers. They eat a lot of power though so I wanna make the most of them, so I'll use bitflags and assign each surface a given bit. With 31 bits to spare, hopefully I won't run out, at least within the starting system.

The idea is that, with every location having a unique bit, I can just put that bit into the signal for that item - say, iron plates - and assuming I have a cannon somewhere pointed at that surface, it should look for that bit in that signal and start firing once it finds it (cannons can only fire one manually-selected resource, and need to use signals to prevent them from firing if the destination is full, as otherwise their payload will not be caught and Cause Problems)

[plucky mural]

aaaand figured it out, whoo!
Just had to divide the main signal by the ID I'm looking for, then take the % of that and 2 to get my result

[neat lintel]

anyone know a humanities server like this?

[little vine]

Humanities seems pretty broad

[mint patio]

@solid snow do you have any idea what shuri is building up to?

[solid snow]

No

I know zilch about complex derivatives

[mint patio]

I guess he wanted the complex plane to treat them as vectors? Not sure why

Oh

I don’t see why we needed to go to C for that

[solid snow]

[neat lintel]

Guys i just failed 3 tests in a row and 3 of them got lower than 30%😂😂😂😂

Should i drop da class or not

[solid snow]

should probably study if anything

[neat lintel]

Maybe drop a book on the desk

[neat lintel]

I mean i do study but its just too much to put in my head

We do not have quizzes

We only have tests

And we learn 1 unit in 3 days since it’s summer school

bro you got a 30%

If it's multiple choice

You might have gotten a better score by randomly choosing answers

[little vine]

You must be toast if you got multiple 30s

[neat lintel]

I'm sure the margin of error for randomly choosing answers is greater than 5%

[little vine]

So I would withdraw

[neat lintel]

Just choose random answers

you'll get better score

[neat lintel]

No point in withdrawing

If it's a required class they're going to have to take the class again in the future.

might as well stay and hope you learn something you can use for next time

Its not but its required for some universities or colleges so yea

[neat lintel]

Nope

[neat lintel]

Im getting bitched lol

[echo tundra]

Sadly those bitches won't help you get untoasted or even pass the exam.

[little vine]

https://tenor.com/view/toasty-mortalkombat-gif-20698988

[woven whale]

yo @violet wraith

what's good

[violet wraith]

sup

[tropic nymph]

yum

[neat lintel]

2+2=4

[serene pulsar]

mathtrainer dot org I think

don't remember the tld exactly

It seems to be https://www.mathtrainer.io/ now

[rigid lion]

inf

[neat lintel]

Why the equation doing this?

[tepid light]

it is sending a message

[neat lintel]

U read it wrong lol

[echo tundra]

Lol

[lunar zephyr]

What kind of test

[neat lintel]

Pre cal 11

[storm sage]

As c increases, the number of lines that satisfy the equataion gets so large that Desmos can no longer render it accurately

So you get weird looking patterns

But since the original graph is symmetric, the patterns are also symmetric

[steel urchin]

why do i feel physically angry when im stuck on a math question or equation

and how do i stop it

[bold yoke]

because it's really frustrating

[solar hawk]

Damn Eric big brain

[bold yoke]

idk if it's the case, but therapy could help lol

[steel urchin]

too broke for allat lol

[neat lintel]

It's the feeling of learning

[steel urchin]

nah i learn stuff in other subjects all the time. like this makes me get up and punch something

it feels so childish and dumb

[obtuse zenith]

Not to be political, but I think flammable maths is funny

[rocky shuttle]

flammable maths is flammable

[little vine]

You don't, you just break through and figure it out

Like dark souls

And the break through is very satisfying

Like dark souls

[late anvil]

Can someone help me graph this limits function

[serene pulsar]

6 days until the placement test and I just have one more review to finish 💪

[burnt ledge]

Despair incident song

Looping it... now

[flat harbor]

which one

[south kelp]

discussy 2 electric bugaloo

[burnt ledge]

Sumia - Despair Incident

[flat harbor]

so that is the title huh

[burnt ledge]

it should showbin my profile too i think

Yeag

[flat harbor]

it did for a split second

[nocturne tusk]

sorry i only listen to 4 artists

[viscid turret]

just realized is on this server

based server

[little vine]

Yay slow chat

[neat lintel]

do you guys use mechanical pencil for math notes

[little vine]

I use sharpie pens exclusively

Because I like the way they feel against paper

[neat lintel]

One of the pens I may use for math notes is the kurutoga engine

[little vine]

Never tried nor heard of it

[neat lintel]

its a mechanical pencil with a motor, that spins when you write

[little vine]

But I just don't like pencils

[little vine]

That sounds too expensive

[neat lintel]

https://www.amazon.com/kuru-toga/s?k=kuru+toga oh yes

in Japan, I bought mine, and it was about 400 ish yen

[little vine]

It's not to terrible, 14 dollars

As long as it stays alive for a while

[solid snow]

What’s the motor do?

[neat lintel]

What should I do when reading my calculus book gets EXTREMLY boring

[little vine]

Just move onto the exercises

Scour the proofs when you need a hand

[neat lintel]

Good idea

[solar hawk]

What book is it

Spivak ?

[neat lintel]

CLP-1

on chapter 3

Applications of derivatives

[solid marten]

I’ve heard good things about spivak, but idk I don’t understand the book sometimes

[solar hawk]

Me too

I got bored asf

In the beginning

[ripe dirge]

Try to solve problems then

Or read proofs

[modest moon]

!! Important Question !! How many hours left until midnight in your timezone?

Maybe I'll start ||7.9 h||

[hollow jackal]

this is perhaps the least important question i've seen all day

[modest moon]

It is called "irony"

[mint canopy]

I'm curious. Where do these emojis come from: and

I love their vibes, I'm wondering what their origin story is

They look fairly polished so maybe the come from some product?

[deep mango]

https://www.mariowiki.com/Frogfucius

[echo tundra]

Probably from that game nami plays

[deep mango]

https://www.mariowiki.com/Frogfucius'_Student

[echo tundra]

Imagine playing Nintendo games

[surreal sapphire]

there are a lot worse things nami plays

[alpine comet]

https://www.quantamagazine.org/old-problem-about-algebraic-curves-falls-to-young-mathematicians-20220825/

Life goal: find life partner as a scientist and then crack an unsolved problem with them

[mint canopy]

Brill thanks

[mental stratus]

Even if R is a ring with unity it is not necessarily true that a subring of it may have unity 🧠 💣

[eager reef]

Subrings suck anyway

[deep mango]

Subalgebras are important

so are subfields (or more accurately, so are field extensions)

But those have unity

[wooden meteor]

Quadratics are very easy, with help from ai

[vocal vessel]

Why are they giving credit to a chalkboard?

[wild lantern]

The chalkboard stood so you could run.

[vivid fable]

Sets
Functions
Algebra
Trigonometry
Binomial theorem
Coordinate geometry, conic sections
Permutations and combinations
Complex numbers
Logarithms and exponents
Probability
Arithmetic and geometric progressions
Matrices and determinants
Polar functions and limits
Differentiation

I have a math quiz competition in 3 days and I’m supposed to be covering all these topics

Do any of u guys know resources like videos yt channel websites that’ll be helpful?

[orchid pasture]

lol thats quite a range of topics.

[ripe dirge]

Hmm
That would require a month at least to finish

[mental stratus]

https://www.youtube.com/@TheOrganicChemistryTutor/playlists and https://www.youtube.com/@khanacademy/playlists sure you can find some playlists here

[orchid pasture]

Alcumus on aops

[vivid fable]

yeah that’s a lot but i already know abt most of the topics just looking for resources to look them through quick

[ripe dirge]

Is this for olympiads or stuff

[vivid fable]

it’s a high math competition

[ripe dirge]

Do you study in +2 or in 9?

If so you might grasp some of these

[oblique beacon]

Blackpenredpen he does videos where he will do like 100+ questions for a category.

This guy too

https://youtu.be/yoFBiyg_ulg

Anki and how he describes the best study methods.

[loud snow]

That could be me

[alpine comet]

We all have dreams

[loud snow]

Apparently

#discussion message

This is crazy

So lucky his discord account is disconnected from his reality

[serene pulsar]

soon to be only 4 more days left to study

hopefully I can get a few more questions done by tonight

I'm just a bit tired and my back hurts from sitting at a desk and studying all day

[faint garden]

Study in bed like a normal person

[gray crater]

Hui

Hi

@neat lintel is typing from last 5 min?😭

[faint garden]

Use a combination of #book-recommendations and library genesis

[neat lintel]

anyway @gray crater It depends on what professional use you wanna do if you wanna pursue carrieer in data science and web dev then do python and javascript and if you wanna pursue a carrier in stuffs that like require math alot do game hacking you'll be doing alot of linear algebra and math stuff. And if you wanna lean application development(mobile) learn dart or some other language like kotlin. For testing and experimenting on application with your teamns you can do DevOPs in which you'll be using languages like Go, and tools like Docker to test out applications.

And I did mention about game hacking but I didn't mention game development. Those are 2 different things. For game dev I'd really recommend you use C# or C++ for those cause they are just perfect for that JOB like 😘 and again you have to know concepts of math too which is great for math lovers so ye. You will also have to know how to use mutliple game engines and how game engines work and tracing of each pixel works, cubemaps.
Mostly you'll learn computer graphics in your courses which will introduce you the topic I was telling you of raytracing.

[gray crater]

I am planning to be soft engineer

[faint garden]

As opposed to a hard engineer?

[gray crater]

Software

[gray crater]

Please suzuya chan

[neat lintel]

||COMPUTER GRAPHICS IS JUST TOO 💀 ||

[gray crater]

I m trying to make a cool type of animated clothing website

And i know lil bit of design and frontend so i can cover that

But I dont want to change code everytime to update new product (add, delete)

So i need customized backend , i m not sure which one will do it!

?

[neat lintel]

make an array of products cast a foreach and then put there your css

[neat lintel]

why backend?

[gray crater]

Amount of video i ve searched and never got answer

[neat lintel]

like all of the products have same css?

[gray crater]

Why not? Like i want to change products name , add photo so i need customized page where i can do that , like database or sthg

[gray crater]

Yess , but not all of em

[gray crater]

i need to google it 😭

[neat lintel]

can't you do that via code but again still that works for some reason

can I add you and show it to you?

[gray crater]

Its good for me but if ever do job and customer dont know coding and he just wants to add product simply so this aint the right

[gray crater]

Yes please

[jagged forge]

If you want to add a backend, I recommend SQLite for your database, it’s very easy to setup and will teach the fundamentals of sql, which is transferable to heavier duty sql databases like Postgres. But many small businesses have done fine with just SQLite

[hasty leaf]

Fun thou

[robust pendant]

aight part 2 of asking cute lin alg puns

plz her birthday is in like tmrw and idk what to write in her card 💀

i only kno her from our lin alg class, bro i dont even kno why she invited me 💀

[tranquil osprey]

How do you type theta in latex

[neat lintel]

Fun?
nuh uh, mostly ppl even struggle installing some of its libraries

[leaden torrent]

$\theta$ or $\vartheta$

[fathom swallow]

namington

[leaden torrent]

for future reference, this is easily googled

will probably give you a faster response.

(capital theta is $\Theta$ of course)

[fathom swallow]

namington

[tranquil osprey]

Thanks

[zealous garden]

I didn't know about $\vartheta$

[fathom swallow]

wraithlord_kobordism

[zealous garden]

That's cool

[loud snow]

Yeah dont use it

It sucks to write out

[jagged forge]

To me it’s like a curly v with an extra loop, not too bad to write out

[neat lintel]

Vartheta actually looks nice

[hasty leaf]

Do stuff from scratch more fun lmao

[neat lintel]

That's why you don't use libraries

[solar hawk]

“I wanna be orthogonal to you.. or not”

Yea but that one is weird no

[solar hawk]

“If we were on different planes.. I’d find a basis to you”

Lmao that’s good

That’s so good

[wise vigil]

Can someone help in #book-recommendations ? Thanks 😀

[neat lintel]

what're you on?
You can do computer graphics without libraries and you'd do like ray tracing, but its alot easier when there's a library 🤷‍♂️

[neat lintel]

Installing vulkan on a mac is pain

[remote sparrow]

what would be the cpp graphics library for simulations and stuff?

[hasty leaf]

Mac is a pain in general

[sonic sentinel]

i did the calculations, and i wasted more than a thousand hours in arabic first language classes where i could do little else but zone out

[teal lion]

Never seen vartheta before

[storm sage]

Look up the other variant greek letters too

[solar hawk]

$\varalpha$

[fathom swallow]

amukh1 | JS fanboy
Compile Error! Click the reaction for more information.
(You may edit your message to recompile.)

[solar hawk]

:(

[mint canopy]

$\varpi$

[fathom swallow]

Borty

[mint canopy]

Fucked up

[neat lintel]

Pluto is not a planet.

[mint canopy]

Neither is your pfp

But I don’t complain, do I?

[noble peak]

what is that symbol?

looks like w with extra hands

[neat lintel]

Pluto never was a planet.

[mint canopy]

var pi

a variant of the letter pi

[noble peak]

var pi

lowercase omega

or something

[mint canopy]

This is omega: $\omega$\
This is the variant of pi: $\varpi$.

[fathom swallow]

Borty

[mint canopy]

In other math fonts it looks significantly different. This one isn't great for \varpi.

it is very rare to see anyone use \varpi.

[mint canopy]

^ this one is more typical

[noble peak]

oh with a str8 line in it

[neat lintel]

Tau is better than pi.

[mint canopy]

I literally do not care bro

why are you pinging me

[burnt ledge]

Wait whoa

[neat lintel]

Because I hate people who have such an emotional attachment to Pluto.

[mint canopy]

Wow I don't care

[noble peak]

?

[burnt ledge]

New FinnBoltz mechanism discovered/unlocked?

[mint canopy]

I'm not sure why you decided to harass people, but fwiw I just like the pretty picture. I don't get emotionally upset or angry because of planets or non-planets, like you apparently do xox

[noble peak]

$\tau$\

[fathom swallow]

makethemfalled

[neat lintel]

Is better than pi.

[noble peak]

um

u telling me half the pi is better than the whole pi?

[neat lintel]

Tau is twice pi.

[storm sage]

Please don't jump on people because they have a big rock for a profile picture lol

[sonic field]

could someone pick a number between 2 and 7 please?

[neat lintel]

3

[sonic field]

thanks pal!

[neat lintel]

What was the purpose of this?

[sonic field]

jus choosin a number of problems I wanna work out today 🙂

[solar hawk]

tau and pi have their own use?

thats like saying e is better than pi?

[neat lintel]

Tau is better.

[solar hawk]

id like to see yuo calculate the area of a circle with e

lmao

so immature (coming from a 15 yr old)

[neat lintel]

I'll do it with tau.

Tau is more natural.

[solar hawk]

bud we've all read the tau manifesto and thats cool and all but you dont need to act like a tau fanboy here

[neat lintel]

Are you a tau fanboy?

[solar hawk]

no

im not a pi fanboy

or a tau fanboy

im a js fanboy

[neat lintel]

What's that number?

[solar hawk]

i dont hatass people that use python tho

[solar hawk]

have you every used the web by any chance?

[neat lintel]

Yes.

[solar hawk]

js -> JavaScript

[neat lintel]

Have you heard of context?

[solar hawk]

yea

js is pretty obvious

[neat lintel]

I assumed you meant a number because tau is a number and tau/2 is a number.

[solar hawk]

who tf names a constant js, js is known to mean javascript

thats like talking about fields of math, and someone comes in chat and says "i love tau" and they ask "what field of math is tau"

obviously tau is the number

[neat lintel]

Would mathematicians be annoyed to hear that I'm a tauist?

[mint canopy]

Yes

[solar hawk]

No

[neat lintel]

Why?

[solar hawk]

they will be annoyed

when you force that shit down our throats

idfc if u like tau or not

nobody gives a shit

[neat lintel]

I do.

[mint canopy]

It's the most pseud thing to care about. It's akin to complaining that the cover of a book is green when red is a better colour, when everyone is here to talk about the content of the book.

[neat lintel]

Is the radius or the diameter more intuitive to young children?

[solar hawk]

both

i dont think you understand

a radius is not just half of the diameter

[mint canopy]

"Which will young children prefer to see, a red cover or a green cover???"

[solar hawk]

the definition of a circle is some set of points that are an equal distance (the radius) from some (center) point @neat lintel

do you understand?

now what dumbass

[neat lintel]

See? The radius is more natural.

[solar hawk]

so

and no

thats not what i was saying

[mint canopy]

https://tenor.com/view/tuga-numeiro-gif-18302117

[solar hawk]

the diameter is the distance from any two points opposite to eachother on that circle

[storm sage]

Y'all if you're bored with the conversation, then just don't engage with it

No need to continue it

[solar hawk]

ok

[long matrix]

the radius is clearly the more important

and 2pi is more important than pi...

[neat lintel]

Hello, fellow tauist!

[storm sage]

I'm a Taoist.

[long matrix]

i am not a tauist...

taoist i may be...

[solar hawk]

lol

[neat lintel]

You sound like a piist when you say the diameter is easier to measure.

[solar hawk]

why are we dividing into piist and tauist

[storm sage]

There is no diameter or radius. Only the Way.

[solar hawk]

thats so stupid..

[neat lintel]

Some people like 'eta'.

[solar hawk]

finnboltz is the type of guy to learn a couple programming languages are seriously fight people over which one is his favorite

cut off friends if they dont like the same constant/language as him

[mint canopy]

Form is void... void is form... the tau and pi debate is meaningless.... meaningless is the tau and pi debate

[long matrix]

'js fanboy'

[solar hawk]

maybe thats why he has nothing better to do than complain here

[solar hawk]

yeah but i dont take it that seriously

[storm sage]

What is important is inner cultivation.

[long matrix]

faker

[storm sage]

Meditation free from distractions.

[solar hawk]

i would only commit mass terrorism for js

not as deep as this guy

[long matrix]

All roads lead to one.

[storm sage]

Uhhhh please don't joke about this here

[woven whale]

fml

[solar hawk]

okay sorry

[long matrix]

got mugged yet

[solar hawk]

i wont commit mass terrorism for js

[storm sage]

It's okay just don't talk about stuff like that here

[velvet dagger]

Phew

[woven whale]

I might have to stay here over night in a BRITISH HOTEL

[solar hawk]

well then what should i be doing instead tho

how will i show my love for js

[long matrix]

yeah ur getting mugged lmao

[neat lintel]

This is very convincing: https://tauday.com/a-parable

[velvet dagger]

But yeah if there's even a 1% chance someone takes you seriously... Won't be a fun time for anyone

[long matrix]

remember to lock the door

london

[solar hawk]

is this what people spend their time doing

[long matrix]

i hear @deep mango lost his wallet

[solar hawk]

im so sorry

[neat lintel]

Use both, these are literally just names for different but related constants

[neat lintel]

Did you read it?

[solar hawk]

no

i know what tau is

[neat lintel]

The parable is a perfect analogy.

[solar hawk]

and when i might use it

[neat lintel]

Use anything you want as long as you define it properly

[long matrix]

people who cant handle writing 2pi, my condolences

[sonic field]

I like writing 2pi instead of pi

[neat lintel]

The parable has hilarious puns and can convince even the staunchest of stubborn piists.

[burnt ledge]

Parable more like parabola

[deep mango]

[solar hawk]

we arent piists

we just use both

[neat lintel]

I never said you all were.

[deep mango]

what the fuck is that supposed to mean

[neat lintel]

Parable more like pirable

[long matrix]

im just warning illum that london aint safe

[solar hawk]

tauists and piists are both stupid if they restrict themselves to one constant

[long matrix]

sotrue

[neat lintel]

Why would you not?

[solar hawk]

why would i use multiple constants?

for flexiblity

[long matrix]

or course, this may or may not depend on which part of london....

[solar hawk]

i dont like to be handcuffed down

thats like saying? why use two towels and wash one of them

why not just use one disgusting towel

eh

or maybe

[neat lintel]

Tau is not disgusting. It is mathematically beautiful.

[solar hawk]

why use different cars for different terrain?

[neat lintel]

I use tau for radians, specially when I am working based on my intuition and with a circle
Just easy to think 1/4th of a circle and write tau/4

But that's it really for me and tau

[solar hawk]

drive a sedan offroad

lmao

go into the mud with a sedan

[neat lintel]

I use pi in trigonometry a lot though

[solar hawk]

that would work out well huh?

[neat lintel]

See? Tau is better.

[neat lintel]

I use pi for other things

Like trigonometry

[solar hawk]

what about a constant 2tau

what if i need 2 circle circumferences

then what

[neat lintel]

Ridiculous.

[neat lintel]

We don't talk about the forbidden ones around here

[solar hawk]

ig tau is useless now eh

i declare my new constant in honor of finnboltz

amu

amu = 2tau = 4pi

:)

the rest are all wrong!

[neat lintel]

What about pi/2 ?

[solar hawk]

no more e! no more pi! no more tau!

[neat lintel]

It should have its own constant

[solar hawk]

no more 1,2,3,4,5!

just use amu

define all your constants in terms of amu!

[neat lintel]

No.

[solar hawk]

see how ridiculous that is

[deep mango]

i thought it was pretty safe

[neat lintel]

I never said we should define all our constants using tau. I accept e.

[long matrix]

maybe compared to nyc

[solar hawk]

ill make my kids memorize the digits of amu

[neat lintel]

It doesn't have a cool Greek letter
Can we buy a cool Greek letter for amu ? @solar hawk

[solar hawk]

amu = 12.5663706144

[deep mango]

safe from my wrath :nachoknife:

[solar hawk]

vartheta

$\vartheta = 12.5663706144$

[fathom swallow]

amukh1 | JS fanboy

[solar hawk]

lmao

[neat lintel]

Interesting choice

[solar hawk]

banish them all

except amu

[burnt ledge]

nah

just read it all

mid

[neat lintel]

how much out of 10 ?

[neat lintel]

Don't thines seem ridiculous?

[solar hawk]

and also in honor of amu i will rename vartheta amu

[storm sage]

I agree with this tbh pi/2 is used so often

[burnt ledge]

yes because I'm in a world where we already have years

[storm sage]

Its symbol should be the same as pi but with three legs

[burnt ledge]

The Dean is right

[long matrix]

stool

[solar hawk]

\newcommand{\amu}{{\vartheta}}
$\amu$

[neat lintel]

He's not.

[solar hawk]

aw

[fathom swallow]

amukh1 | JS fanboy

[solar hawk]

lmao

[neat lintel]

You don't put $$ around new command

[solar hawk]

ye

add it to your preamble everyone

[final igloo]

is grep j linux

[neat lintel]

\def\amu{\vartheta}
$\amu$

[fathom swallow]

Nidhi

[solar hawk]

revolution!

i call for revolution! amu manifesto!

amu day!

[final igloo]

dude i think i was kicked off of my labs server

[burnt ledge]

He is; his argument is essentially that the cost of changing everything to be tau/year is much much much more than its worth , which is true

[solar hawk]

wreak havok on tauists! piists! eists!

any other constant is unworthy!

[neat lintel]

It's not that difficult. There will be no confusion.

[neat lintel]

Would it be called pii then ?