serious-discussion

[leaden skiff]

cbse

[toxic schooner]

thats not how it is in cbse

u learn trig in 10th

and circle related trig in 11th

[leaden skiff]

oh yeah shit i forgot

[toxic schooner]

[leaden skiff]

i learned trig on my own a year earlier i mixed it up

[toxic schooner]

i learnt trig in 10th
and hated it, like every sane person would

[leaden skiff]

so yeah then my plan works even better

[toxic schooner]

yeah

[leaden skiff]

i didn't cause i knew the unit circle definition

that made it bearable

memorizing identities was ass tho

[toxic schooner]

but then again
a lot of 10th grade kids will not like it
just coz it means more math

[toxic schooner]

i still hate trig
coz its annoying

[leaden skiff]

honestly, if you turn every trig function into a complex exponential, so many formulas and problems become soo much easier

like $\int e^{ax}sin(bx) \dd{x}$

[toxic schooner]

true

[fathom swallow]

Ninja

[toxic schooner]

but a lot of integrals become uglier
especially those with higher powers of trigs

[leaden skiff]

idk

[pale orchid]

ninja of the golden shash

[toxic schooner]

[leaden skiff]

wdym?

[pale orchid]

conflating your nickname with shashwat

[toxic schooner]

its a thing edd likes to do

pretty hilarious a lot of times

[pale orchid]

😌

[stray kite]

what exactly is a proof by contrapositive

[surreal sapphire]

instead of proving A -> B you prove not B -> not A

[stray kite]

oh

that makes more sense now

i saw some places with a proof like that marked as proof by contradiction which im assuming isnt right

[deep mango]

They're the same thing and angry LEM-skeptics are sobbing.

[deep mango]

Yeah its the difference between using "not the conclusion" to get directly to "not the hypothesis" vs using "not the conclusion" to get to something which contradicts the hypothesis, but they're the same thing. However, in the latter, you get to use the hypothesis in your search for a contradiction. Which can make things easier.

Like if both are complicated and the hypothesis can be simplified a lot to something nice

[surreal sapphire]

many people also just like saying "proof by contradiction"

[compact tartan]

"proof by contradiction"

[mint patio]

now what happened here

[leaden skiff]

it's an outer integral. it went outside the page

[mint patio]

[velvet dagger]

The rest of the line is DLC

[mint patio]

Yeah, don't look closely

[primal crater]

lmao

[zinc lily]

Scanner didn't scan that part ig.

[cold needle]

ok that made me chuckle you win

[thorn brook]

ay yo it's friday

epic win

[neat lintel]

Just watch in 2 seconds it going to be Monday.

[mild nebula]

It is not Monday

[cold needle]

what if it was monday exactly two seconds after berlin said so

and then it switched back

[velvet dagger]

Kaynex jumping to conclusions

[craggy fossil]

i have a question which isnt related to math particularly but teaching in general and i wanna know if this idea of mine makes sense in a mathematical setting

what if we taught problems by color coding (for example darker colors representing the first steps which must be done in a problem, like color coding powers or variables that cancel out) and slowly the rest of the parts of the problem would turn lighter and lighter so you feel more “relieved” the better you solve

Do u think this would work in an educational setting

[daring socket]

Did y’all do functional analysis in final year undergrad or nah?

[limber thunder]

it really depends on the institution, mine offers a very intro course as an elective, which I took on my final semester

but now this same institution wants to make it mandatory

[daring socket]

3 or 4 yr undergrad?

[deep mango]

i mean many schools don't offer functional analysis at the undergrad level

i took it in 3rd year but it was listed as a graduate course

[limber thunder]

4 years, but with the curriculum change it'll be a 3rd year course (leaving the last year for electives)

[devout nacelle]

Doesn't harm to try I guess, in a way it could probably make memorising algorithms easier because you'd probably be able to recall the sequence of colours and the steps associated with them. That it makes memorisation easier might also be a downside though, anything that doesn't immediately fall into the algo would baffle most students.

[gentle bay]

Seems like a nice idea.

[neat lintel]

Anman

[gentle bay]

Is not it your hobby.

To mix names.

[neat lintel]

not really

[gentle bay]

Wait....Manjan is Janman spelled backwards. I thought it was Manan + Janman mixed.

What is Hatcher?

[brave hollow]

why do you break down isn't to is not

its bothering me 😦

[neat lintel]

author of Aeez Tuts

[brave hollow]

janman are you a math major or a hobbyist?

[neat lintel]

hobbyist

[craggy fossil]

It would help incredibly if students would begin that way since early stages of childhood, i mean every step in any math problem is just down to memorization right? it should all fit into an algorithm, and i mean theres always the option of just taking away the colors once the "learning process" is done and solving both ways?

it wouldnt hurt to try

[devout nacelle]

Even though most (all?) of the problems a student typically sees in school math curriculum generally fall into repetitive algorithms, I feel this hampers critical thinking and reinforces the view that math is meaningless symbol pushing. Maybe if the algorithms themselves can be derived/motivated properly, things would be better, but then there's the issue of teachers themselves not being proficient enough.

Worth a try in any case, at the very least if most students are just going to memorise and do things like "FOIL", then they might as well just do that well enough.

[neat lintel]

is there a wolframbot?

that calculate stuff on discord

like e.g. 3+2*123123 / 44
and the bot calclute this problem

[devout nacelle]

TeXit supports Wolfram

You can ask for help in #latex-help

[neat lintel]

“FOIL” a fancy way to make a simple distributive property more complicated than needed.

[devout nacelle]

I agree, I heard about it on this server for the first time

[vast cipher]

what channel would i ask about perturbation analysis

i dont think my question is enough for like dynamical systems since i cant understand anything in that channel

if thats even close

[delicate knoll]

I thought it was used to make it simpler.

And it actually does...

[limber thunder]

mnemonics are meant to make things simpler, the problem is that in most places early math education focuses way too much on these things and algorithms rather than explaining why these things are true to begin

[leaden torrent]

how so

[sacred valley]

have yall seen people use $x \rho y$ for when they're doing things with inequalities and unsure if it should be $>$ or $<$?

[fathom swallow]

polybeandip

[leaden torrent]

i typically see r used to represent a relation

but rho makes sense too

[sacred valley]

we were talking about the unimodality of binom coefficients, and our teacher did stuff like $$\binom{n}{k} \rho \binom{n}{k+1} \iff \frac{\binom{n}{k}}{\binom{n}{k+1}} \rho 1 \iff \frac{n-k+1}{k} \rho 1 \iff n+1 \rho 2k$$

[fathom swallow]

polybeandip

[sacred valley]

and then we get the desired inequality once we know what k and n are

[leaden torrent]

ah i see

that is a bit weird

[sacred valley]

yeah, I thought so too and but I thought it was cool

I was wondering if anyone knew where it was from

[leaden torrent]

id expect $\gtrless$

[fathom swallow]

Namington

[leaden torrent]

instead of rho

[sacred valley]

oh Whoa

[leaden torrent]

but i guess it works too

rho presumably just stands for "relation" or something

[sacred valley]

hmm probably

[sick finch]

How does that work

[atomic cypress]

Does anyone have a favorite way to write left super- and subscripts?

Like ${}_1^2\textrm{He}$

[fathom swallow]

teafortwo

[atomic cypress]

There has to be a better way than using a vanishing prefix.

[delicate steeple]

there's \prescript from the mathtools package

[wild lantern]

Can you write a macro that looks cleaner but does the same thing?

Ooh if there's already something for it then don't do what I said lol.

[limber perch]

found the resident chemist

[atomic cypress]

D-Don't tell anyone

[velvet dagger]

got u

[stray kite]

what do real mathematicians use for things which wolfram alpha does

[devout nacelle]

Mathematica

Or any counterpart

(Wolfram Alpha is basically Mathematica+a lot of Wolfram stuff on cloud)

[vast surge]

Or just wolfram alpha

[inner finch]

they asked a real mathematician manan @devout nacelle

[devout nacelle]

Oh, then MS Excel

[inner finch]

shutup nerd

[deep mango]

mathematica

or any counterpart

(wolfram alpha is basically mathematica+a lot of wolfram stuff on cloud)

[devout nacelle]

[deep mango]

[neat lintel]

||how many times must we tell them to read ||#❓how-to-get-help||?||

ignore spoiler

[pine dagger]

Mirza Mirza mirza

Hi

[zinc lily]

Sania?

[inner finch]

hi brems

[tired aurora]

What mathematical discoveries have left mathematicians with this expression?

[inner finch]

lol nice vid

[crystal stream]

watching the tv show foundation

apparently good mathematicians count primes when they get nervous

[leaden torrent]

pfft

i count rational points on elliptic curves

[meager sonnet]

Omggg

It's like when they say the name of the movie in the movie!

[terse cloak]

Hi. I'm tired of using overleaf so what LaTeX editor and compiler would you recommend? lol

[vivid halo]

what operating system?

[terse cloak]

I use Mac

[neat lintel]

vim is nice

[vivid halo]

TeXShop is nice for mac

very minimal

something like vim is ideal if you really want to go through that learning curve

[terse cloak]

Okay thanks guys! I will test these two and see what I like more.

[vivid halo]

I mean if you've never used vim before

you're not going to like it at first

[terse cloak]

Yeah never used it. I used TeXstudio and MiKTeX before but did not like them that much

[vivid halo]

TeXShop is a lot more minimal than TeXStudio, I don't really like Studio

vim is literally a command line text editor with no mouse functionality

it's probably the best text editor there is but you have to learn a bunch of keyboard shortcuts

[neat lintel]

I enjoy Vim; I’m not a power user, though

The main reason why Vim is nice is that you can integrate snippets into it

[vivid halo]

if you really spend time learning it you can do some really crazy stuff that no other text editors can really do

[neat lintel]

Snippets make typing the large amount of LaTeX I have to type tolerable

[vivid halo]

vim power users kinda scare me

[inner finch]

[last oxide]

honestly overleaf is pog

[limber thunder]

yeah getting lost connection msgs every min definitely pog

[last oxide]

only if you have bad connection

[limber thunder]

yes

[last oxide]

[blazing pawn]

VSCode

is really nice

aesthetically

[terse cloak]

didn't know they do TeX lol. I have one installed.

I will have to explore this option

[blazing pawn]

you need extensions but only like

one

[terse cloak]

What about packages?

[blazing pawn]

you will need to download tex obviously

[limber thunder]

yeah these come with texlive

[terse cloak]

Okay okay. Haha So I would only need a compiler?

[blazing pawn]

Yeah you just download texlive

and then get that one latex extension

and you're good to go

[terse cloak]

Nice. Editing my codes and my latex will be a really great option!

Thank you!

[blazing pawn]

its called latex workshop

[deep mango]

i tried to switch to vscode and i can not get it to work

[bronze pelican]

I need to present on Szamuely ch 4 today

[zinc lily]

There are a lot many links, youtube videos on it

Which package do ppl use to get nice automata diagrams?

[rancid meadow]

simply Use vscode and texlive and ur done really on mac

takes like two seconds to setup

[rancid meadow]

its not too bad to do just with tikz

you can do it with nodes pretty easily

well idk if it would be easy for big automata, i think there is a website that will let u generate the tikz code from an automata diagram

[odd narwhal]

quivr would probably work for this, maybe there's smth better for automotat diagrams specifically

[rancid meadow]

http://madebyevan.com/fsm/

I used this when I took theory of comp

it works fine

maybe not adequate for you but idk

[zinc lily]

The link has a white canvas.
is there supposed to be anything drawn?

[rancid meadow]

scroll down

xd

[zinc lily]

Yes, but what's that white thing
Sample drawing? I can't see.

[rancid meadow]

it's the canvas you use to make ur automata

double click on the white thing

Add a state: double-click on the canvas
Add an arrow: shift-drag on the canvas
Move something: drag it around
Delete something: click it and press the delete key (not the backspace key)
Make accept state: double-click on an existing state
Type numeric subscript: put an underscore before the number (like "S_0")
Type greek letter: put a backslash before it (like "\beta")

See #latex-testing for an example of what it produces

[blazing pawn]

Hell

worst chapter in the book

all the definitions are

Atrocious

[jovial ember]

That’s ur first mistake. Using Szamuely

[blazing pawn]

so much in that book could be fixed if he just defined zariski riemann spaces in a not dumb way

[jovial ember]

How does he define

[blazing pawn]

no generic point

he takes the set of DVRs containing k with fraction field K but excludes K itself

and then gives it the cofinite topology

bad bad choice

[blazing pawn]

What does this mean

No one sullied

whose message is being rejected

[jovial ember]

I sully Szamuely

[blazing pawn]

Oh

Good

4headed book

[jovial ember]

Moth tell me as many conditions you know which imply flat

[bronze pelican]

lmao

another page of Szamuely another typo

Szamuely claims this is a maximal ideal

but it's clearly not

[jovial ember]

Wdym

[bronze pelican]

its not maximal

[jovial ember]

Nilpotence definitely exists in a field

[bronze pelican]

[jovial ember]

Yeah this is dual numbers over R[i]

Lol

[blazing pawn]

does he call that the maximal ideal

so hurbed

[bronze pelican]

yes he does

Example 4.3.8

[blazing pawn]

doesnt he say that it splits in C[x, y]

can u send the example

cause im on my laptop so i cant pull up the book

[jovial ember]

What?

He calls it a point not a closed point

[blazing pawn]

Oh

okay to be fair this is fucked up

because the entire previous thing is only done for closed points

[jovial ember]

I don’t see where he says its maximal

[blazing pawn]

Read the first paragraph of the example

[jovial ember]

Yeah?

So

[blazing pawn]

He applies the stuff about Gal(C | R) but he only does that for closed points

[jovial ember]

I mean

Okay the “concrete example”

Kind of fucks him over

[blazing pawn]

Yes

the book is just dumb

[jovial ember]

I think he doesn’t read what he types

[blazing pawn]

all the time

yea its 100% not proof read

and u can tell

there are worse examples

like remember the zariski riemann thing i talked about before?

[jovial ember]

Joe mama

Yeh

[blazing pawn]

he talks about how it can be covered by integral affine curve... which under his defn have generic points

So hurbed

[vivid halo]

moth stop reading that book

[blazing pawn]

I am not

im freeeeee

pty is tho

[vivid halo]

pty stop reading that book

[blazing pawn]

when ur book is so bad ur readers have to rewrite it from scratch to clear up the details

[bronze pelican]

What should I read instead

[vivid halo]

idk what are you trying to learn exactly

if you're just trying to learn some stuff about algebraic curves read Hartshorne/Liu/Vakil

[bronze pelican]

Yeah basic algebraic geometry

Algebraic curves

Are my main interest rn

[sterile hare]

at university level is everything in math books based? is there no khanacademy equiv for university level math

fair enough

[bronze pelican]

Yeah i think i should read Liu Qing - "Algebraic Geometry and Arithmetic Curves"

Right now I am reading
Bump Automorphic Forms and Representations
Guillot A Gentle Introduction to Local Class Field Theory
Szamuely Galois Groups and Fundamental Groups

Next year maybe I wanna read Einsiedler and Ward Ergodic Theory with a View Towards Number Theory

[deep mango]

i can't get texlive setup on these linux workstations in our offices

[rancid meadow]

there are other tex packages too

[deep mango]

none of them work with vscode

they want some weird ass shit that "comes with" texlive (except it doesn't on this distro of linux for whatever dumbass reason, and you need go to find it yourself)

stupid

just using texmaker

it's fine

[atomic cypress]

Stop reading gentle introduction books

Pain and suffering are part of the experience

[bronze pelican]

No

@vivid halo Ivan Horozov is giving a talk today at my school's Grad Student seminar

On Arithmetic Groups and Modular Forms

[vivid halo]

Nice

[cinder zephyr]

I still don't see a point in VSCode or a dedicated TeX editor for my math HW

Overleaf has the easiest collaboration by far

[vivid halo]

I mean yea if you’re collaborating overleaf is easiest

Otherwise standalone editors are better

[leaden torrent]

desktop editors are just easier

once you know what youre doing

you can make 1 big file for your preamble and import it, you can edit shit without needing to inteface with the internet

you can tweak exactly how much wysiwyg functionality you have

just want a text editor with no bells and whistles? or want an extensive repertoire of utilities and compiling chains with autocompletion? both can be set up without much work

or anything in between

overleaf wins out on collaborations but thats it

[neat lintel]

Is anyone here good at chemistry and can answer 5 questions I have?

[pale orchid]

even for collabs, splitting (sub)sections into .tex that you input into a main and having stuff on git is pretty good

[cold needle]

#old-network

you will have better luck asking in the chem server

[deep mango]

I like being able to work on stuff outside, where I usually dont have internet

[cinder zephyr]

fair

[deep mango]

But otherwise I would just use overleaf

[quartz agate]

JH sucks

people werent lying about it being bad

[leaden torrent]

jh?

jeez huts?

[quartz agate]

no

[wild jay]

#chill

[leaden torrent]

?

[wild jay]

dn jokes goes to #chill!!!!!!!

[odd narwhal]

You can copy your project to smth offline to then upload the updated version to overleaf

I do that sometimes

[rich bay]

tex with local editor is the only way, plus its better for formatting the stuff u write in the tex file in itself which is good when ur a neat freak

[deep mango]

I'm more spontaneous than this allows

[odd narwhal]

Ok fakr

Fair

[deep mango]

I also keep my preamble in separate files and sometimes split assignments up into several files so this gets confusing

[untold sapphire]

whoa really?

even individual assignments?

i've never had the need for more than 2 files. main file + preamble

What makes it easier that way

[deep mango]

I only do it for big stuff

That isnt weekly

Its not easier per se, just more comfortable to have small documents to work in

[lilac pivot]

Got to ask how many mathetmaticians are good with a number of subjects with math

[leaden torrent]

define "good"

[lilac pivot]

How many math subjects are they suppose to remember or are an expert at

[leaden torrent]

whatevers necessary for their research

some mathematicians have broader interests ŧhan others

[untold sapphire]

general question

how do you keep track of your notes when your notes are on like, fairly open ended subject matter? not a book or a paper but a whole field of math

so like, i'm learning about simplicial stuff recently

[latent forge]

me too

lots of it feels like bullshit

i got an example

why are n-chains defined the way they are

where is the visual intuition for C_1 or C_0

and why is it defined as sum of n_ie_i

and why is boundary map defined as alternating sum

and how does relative homology work in a visual intuition sense

[untold sapphire]

ok this is a lot of questions lol

which ones do you want answers to first

[latent forge]

it is what it is

probably in order

[untold sapphire]

i think this stuff can be done. An element of C_0 is just a finite set of points or a finite family of points which is being represented as a formal sum. The fact that it takes place in an Abelian group allows you to take positive or negative points, which corresponds to 'orientation'. The reason this is helpful is that if you stack two points on top of each other that have opposite polarities, they cancel out and yield zero.

So, like, let X be a space, say the plane R^2 for concreteness. Suppose you have a circle drawn in the plane, a closed path.

What is the boundary of the closed loop? Intuitively it has no boundary.

Formalizing chain complexes as Abelian groups lets you talk about the zero element of a group, the idea of 'no boundary' is then formalized as it having the zero boundary

Ok.

[latent forge]

ok

So my problem lies within what the 0 chain is supposed to represent

So say we have sigma:standard 0 simplex -> X

[untold sapphire]

Zero simplex?

[latent forge]

its just a point

[untold sapphire]

Right

I knew that i just wanted to double check to make sure we were on the same page

[latent forge]

then we just attach a number to that point and its in the 0 chain?

sounds like balonie

[untold sapphire]

Ok. this isn't the right place to start with getting intuition

let's say we have a path in the space

[latent forge]

ok

[untold sapphire]

it's a math from the 1-simplex into X.

[latent forge]

ok

[untold sapphire]

write $\omega : I\to X$

[fathom swallow]

diligentClerk

[latent forge]

for the attaching map ok

[untold sapphire]

Prior to the chain-complex notion of all this, you'd say that the boundary was something like the set of points ${\omega(0),\omega(1)}$, yeah?

[fathom swallow]

diligentClerk

[latent forge]

yea

but with boundary you call it an alternating sum of attaching maps of the n-1 simplicies which is a weirder definition

[untold sapphire]

So attaching signs to the points, having them be coded as positive or negative, allows you to slowly bring the ends of the path together, forming it into a closed loop; writing the boundary as $\omega(1)- \omega(0)$ gives you that the boundary is 0 (nothing) when $\omega(1)=\omega(0)$

[fathom swallow]

diligentClerk

[latent forge]

which is just an attaching map for each point

ok

i sorta get that intuition

[untold sapphire]

let me give you another example which helps to illustrate why the sign is useful. Take $X$ to be the real number line, and let $\omega$ be a smooth path from $a$ to $b$.

[fathom swallow]

diligentClerk

[latent forge]

but you didnt say w(1)=w(0)

[untold sapphire]

Here $a,b$ are real numbers

[fathom swallow]

diligentClerk

[untold sapphire]

if $f$ is a continuous function on $\mathbb{R}$ we can take the integral of $f$ along the path $\omega$; essentially we want to integrate $f$ along the interval $[a,b]$ where $\omega$ is a choice of parametrization of the real line. Admittedly in the one dimensional case this is stupid because it's unnnecessary, but in higher dimensions it absolutely becomes useful to give a parametrization.

[fathom swallow]

diligentClerk

[untold sapphire]

By the fundamental theorem of calculus, if $F$ is the antiderivative of $f$ we have
$F(\omega(1) - F(\omega(0)) = \int_{t=0}^{t=1} f(\omega(t))\omega'(t)dt$, and we sometimes write $d\omega = \omega'(t)dt$; you are probably familiar with this notation because it comes up doing u-substitution.

[fathom swallow]

diligentClerk

[untold sapphire]

the interesting idea now is that we could interpret $F$ as being a map on $C_0$, into the real numbers, which sends each point $x$ (singular $0$ simplex) to $F(x)$; then you would extend it to chains by simple linearity, i.e. $F(\sum n_i x_i) = \sum n_iF(x_i)$

[fathom swallow]

diligentClerk

[untold sapphire]

then you could write $F(\omega(1)) - F(\omega(0))$ as $F(\omega(1)-\omega(0)$

[fathom swallow]

diligentClerk

[untold sapphire]

i guess what I want to stress here is like, the duality that comes up in the formula for the fundamental theorem of calculus when we write it this way:

if I write $\partial\omega$ for the boundary of $\omega$, i.e. $\partial\omega = \omega(1) -\omega(0)$
then we have
$$F(d\omega) = \int_\omega dF$$

[fathom swallow]

diligentClerk

[untold sapphire]

here the notation $dF$ is meant to simply denote the derivative of $F$, and the subscript to integrate over $\omega$ is just shorthand for what i wrote earlier. this kind of suggests a parallel or duality between the derivative and the boundary operator.

[fathom swallow]

diligentClerk

[untold sapphire]

so yeah to recap, the two most influential reasons for the sign choices in the boundary operator are

1. first of all, it gives you a good way to say that a closed loop or surface has 'zero boundary', because intuitively a triangulated surface should be closed exactly when its boundary line segments are all stacked on top of each other with equal and opposite polarities and so it comes out to zero in the Abelian group

2. second of all, the sign difference comes up in the fundamental theorem of calculus in a natural way, and more generally in higher dimensional generalizations like stokes' theorem, green's theorem, the divergence theorem there are other parallels to this

[latent forge]

ok i sorta see it

but for now im going to blackbox the definition

[deep mango]

[untold sapphire]

i want to plead with you otherwise because i think it is possible to understand homology but honestly there are things i still struggle with. One such thing is that often in a rigorous argument about the chain complex of singular simplices i'm often tempted to work with basic simplices i understand, like the constant simplices. But a constant n-simplex is a cycle iff n is odd. So you can't always do this. And there are similar problems, where the basic things i'd like to work with may not actually be cycles

There's some incredibly basic question about homology my friend came up with and asked me, we couldn't figure it out.

It was one of those things where the answer's obviously yes on a geometric/intuitive level but how to prove it was a total mystery

he kept working it and eventually emailed a researcher. She told him it was open

one of those things you're shocked to hear is open

oh wait he's in the server

@flint jasper

Can you remind us about the thing about spheres in R^3 you were thinking about

it was a year or two ago

[crude helm]

Once conjectured whether there exists a non-trivial rational pair (x, sin(x)). Just thought it was an interesting problem but I wouldn’t know how to approach proving/disproving it. Anybody got any input?

[untold sapphire]

@alpine cedar

[alpine cedar]

Hi

Who’s that dude

Oh cause the sin thing

[alpine cedar]

The answer is.. no. Which I learned from this blog https://weeklymathematics.com/2019/05/09/irrationality-of-basic-trigonometric-and-hyperbolic-functions-at-rational-values/

[devout nacelle]

[alpine cedar]

Or wait maybe not

No yeah

Why are you doing the face

[devout nacelle]

I was not expecting a negative answer

[limber thunder]

I was fully expecting a neg answer but wasn't sure why

[limber thunder]

nice post thanks for sharing

[alpine cedar]

What?

Thanks

[jolly spindle]

Best Mathematics Book that covers everything in computer science with application of python ? I really need it and already searched alot everywhere but got no luck so This community is the last option

It's too expensive man

Ok I'll try finding them

[alpine cedar]

I would recommend ‘Kolmogorov complexity with applications’ by Li.

It goes into a bit more depth than Concrete Mathematics

[jolly spindle]

Is it on Amazon ?

[alpine cedar]

You know I’ve never checked. It’s on libgen anyway

[flint jasper]

You mean the problem about subsets of R³ having torsion-free fundamental groups?

[earnest sapphire]

.

[latent forge]

I mean I really really appreciate the effort that you are putting in to explain to me, similar to my profs. I wish I could compensate somehow. But I feel like I have a lot on my plate in terms of homework and readings and tests for other classes. So I am hoping thay later in the year I will have more time to myself to spend answering and understanding my own questions .

Im going to return to them, but im not sure if I can do too much in the present, but maybe in a week or two

[sonic sentinel]

group projects are fun

"So you want to do vocabulary first and then jump into an example?"
"No, we're going to do some research for example on history like who created these things."

[deep mango]

"why dont you work on that, I'll work on this, and then we'll discuss what we each find to each other after an hour"

"ok, sounds good"

[sonic sentinel]

The only vocabulary were: inductive reasoning, conjecture, and counterexample

[deep mango]

oh well maybe dont spend an hour on that

[sonic sentinel]

I was shocked that he didn't know that Euclid Math invented math in 300 BC

[deep mango]

euclid math invented math

euclid did not invent math

he devised a systematic way for understanding why facts in geometry are true

[sonic sentinel]

"If you don't like the plan, why don't you do it?"
"Give me the laptop then"
"NO!"

[deep mango]

you might argue he was the inspiration for the classical/modern notion of proofs.

[sonic sentinel]

no ryc

[deep mango]

Alright

I'm sure it will be fine

[sonic sentinel]

garry chess invented chess, euclid math invented math, its basic knowledge

[deep mango]

Oh I see

I'm like your project partner

Not in with the memes

[sonic sentinel]

i was making joke on that he wanted to research on who invented "inductive reasoning, conjecture, and counterexample"

[south salmon]

Guys my college is about to start but I have got some time.
I really want to start learning undergrad math but don't have a slightest clue from where to start and how to start.
It would be really helpfull if somone from senior years can guide me.

I have about 2 months for the college

[untold sapphire]

yeah that was probably it. ok i misremembered. guess it wasn't homology

[flint jasper]

There could be something about homology and spheres though, although I don't remember emailing anyone about it

[surreal sapphire]

start an analysis and/or linear algebra book

[south salmon]

Can I start with calc

[surreal sapphire]

sure, spivak is nice i heard

[south salmon]

How much calc
All three?

I man like calc 1, calc 2 and calc 3

[surreal sapphire]

no idea, i never took a calc class

i think calc 3 is a separate book (calculus on manifolds)

[south salmon]

I am pretty advanced in calc 1 and 2

So I think I should go for calc 3

But I would need some vectors too for that

[surreal sapphire]

that's why i said analysis book since it will introduce you to the idea of rigorous proofs which is important (if you are majoring in math anyway ...)

[south salmon]

Ok I'll go for real analysis

Btw are you an engineering major

[surreal sapphire]

no, mathematics

i have a degree in math and CS but now im just a math major

but i like to think i am more employable if need be

[frigid lark]

The cs server is inactive. Can anyone give sense to this 🦢

[leaden torrent]

what dont you understand

giving an entire two textbook pages with no other info makes it hard to know where to start

[pale orchid]

explain the thumb

[vivid halo]

The Langlands server is inactive. Can anyone give sense to this 🦢

[frigid lark]

Stop bullying 😂

[vivid halo]

anyways just try to ask a more workable question

people are generally happy to help around here but not usually happy to answer vague questions that require reading whole pages of text without context

[frigid lark]

I can give two or three more definitions that are relevant right now. But I do not get a little part of the proof on the right page center where he proves by contradiction that g is a strong one way function.

🦢But the stuff requires to be familiar with some notations.

[vivid halo]

yea that's sort of the issue, if you can ask the question in a more self contained way more people might be able to help

[frigid lark]

🦢Explicitly the question is about why inverting any y and taking the prefix of length in I might return a wrong inverse. Author says to check every m.

You even copied my swan 😂dont ask me why I use this emoji so often.

[south salmon]

makes sense
hey, could you suggest me any book/article/lecture for this analysis thing

[inner finch]

🦢 careful there you're starting to give off cyberduck vibes

[toxic schooner]

🦢

[pale orchid]

shy of the golden shu

[jovial ember]

Hello incel

Bund Mara loru to you

🫂

[toxic schooner]

interesting names there edd

[toxic schooner]

[jovial ember]

I forgot what this meant

Maybe something like fuck you or suck my dick I forgor

But it’s the one thing I remember Mirza taught me

[toxic schooner]

bund mara means go fuck off or fuck urself or the likes of those

[pale orchid]

fuck my dick

hmm

[toxic schooner]

loru means dick, or dickhead

[inner finch]

gand mara 🫂

how have u been

[jovial ember]

Good

[pale orchid]

the real question is

[jovial ember]

What is Gand Mara

[pale orchid]

what happens if you write loru wala

[inner finch]

fuck off

[jovial ember]

Awww 🥰

[inner finch]

Loru wala

[jovial ember]

What’s that mean

[pale orchid]

does it turn into "the dick one"

[jovial ember]

Or is that just nothing

[deep mango]

[inner finch]

i mean it'd literally mean a pimp for men who are bottoms

[deep mango]

[jovial ember]

Kekw

[deep mango]

why....

[jovial ember]

Femboy pimp

[pale orchid]

that's a super specific thing

[inner finch]

yes

[pale orchid]

i would have expected a word for that in german

not this

[jovial ember]

Discord moderator?

[inner finch]

like adding wala in front of pretty much anything means "xyz one" and is interpreted as "xyz seller"

loru is like a guy who's a bottom

[jovial ember]

Chmonkey wala

[pale orchid]

aha

[inner finch]

[pale orchid]

the seller part i didn't know

okok

[jovial ember]

Does that mean I am like

Selling chmonkeys

[inner finch]

yes

[jovial ember]

Or does it sound like I am selling my@body

[inner finch]

No it means you sell chmonkeys

[jovial ember]

Okay

[inner finch]

but like this is heavily context dependent

[deep mango]

Chmonkey's body wala

[jovial ember]

Everyone could use a lil Chmonkey in their life

[oak yacht]

what the hell...

[inner finch]

Yes

[deep mango]

[inner finch]

welcome to math server redsti

[jovial ember]

Move along, nothing to see here

Isn’t Mirza like 12 years old which is why ur account keeps getting b&

[inner finch]

shutup shutup shutup shutup

[oak yacht]

i'll just move to advanced maths section or something that makes more sense... /j

[deep mango]

See #get-advanced-access

[inner finch]

#❓how-to-get-help

[deep mango]

Also yeah discussion-2 isnt even the worst channel

Chill is the worst

[inner finch]

pretty much

[jovial ember]

Mirza confirmed she’s 12????

@ moderators

[deep mango]

I wonder what mirza's cringe score is

[jovial ember]

😔

[pale orchid]

jailbait confirmed

[jovial ember]

Idk the data is not full

[deep mango]

Yeah

Stop getting banned

[jovial ember]

[inner finch]

it's just off the chart

because it's negative ahahah ahaha haha hah

[deep mango]

Cringe score is like chill posts / total posts

Something like that

Not quite that

[bronze pelican]

Oh

[jovial ember]

Wait discord moderator makes that comment?

Sus

Amogus

[deep mango]

Chmonkey wala

[inner finch]

[jovial ember]

Pty wala

[jovial ember]

Uh oh

[deep mango]

[inner finch]

hmmmmmmmmmm

[deep mango]

...

[bronze pelican]

Thats 35%

[jovial ember]

The cringe score is not such a simple formul

I’m a chmonkeyyyyyy

[inner finch]

ahahah

[pale orchid]

i'm around 18% chill

[trim stratus]

Imagine

[pale orchid]

81% cringe and 1% memes

[bronze pelican]

I'm surprised I'm only 35% chill

[pale orchid]

the rest must be ivory tower

[bronze pelican]

[pale orchid]

[eager crescent]

Where does yaminoid post

Is there another hidden channel

[sick burrow]

what does it mean to be a "pointed continuous function"

is it just a continuous function between pointed topological spaces that preserves the basepoint?

[untold sapphire]

probably

[sick burrow]

I mean the context is "Let Top* denote the category of pointed topological spaces with pointed continuous functions"

[untold sapphire]

It must be, then.

There's nothing else it could reasonably mean.

[toxic schooner]

didnt know that

[gentle bay]

Lmfao.

[toxic schooner]

my chill precentage

[devout nacelle]

My chill %age is 5.83

[toxic schooner]

thats good

[deep mango]

[toxic schooner]

[inner finch]

daira e ufuq

[old parrot]

@safe oak

sup

[safe oak]

among

[steel sorrel]

Us

[rancid meadow]

Apple Ipad Pro 11” 128 Giggabyte

[devout nacelle]

Is Notability good for taking notes

[blazing pawn]

giggabyte

[pale orchid]

what's the problem with the ipad

[deep mango]

jesse is a known apple shill

what a waste of money

[pale orchid]

the m1 chip is pretty bauss, you have to admit

[deep mango]

i don't know what that is you apple fanboy

[neat lintel]

[pale orchid]

such ignorance, the conversation was over before it started

same reason it happened with the ryzen chips

it's cuz they're better

there is no reason to buy intel at present

[neat lintel]

ok that's fair enough

[pale orchid]

coping

there was a nice meme

lemme see if i can find it

doesn't seem like it

it was something like a group of people led by intel saying "someone has to step up and give AMD some competition"

and the next panel is AMD saying "fine, i'll do it"

cuz they keep cranking out new chips for cheaper

yeah but now that they shat on intel's chest, they no longer need to

they could go more expensive and people would still buy it

and the crazy m1 stuff is mad

tablets and laptops with like 40hr battery and crazy on-board graphics

[deep mango]

the intel hate is just pure cope.

[pale orchid]

one could almost buy random shit rn and still end up with good stuff

[deep mango]

intel is a titan of the processor community and you will not diminish that you heartless paid marketing staff.

12 AMD credits have been deposited into your account.

[pale orchid]

lol

i do use a trusty old 8th gen intel cpu laptop

cuz why not

[vivid halo]

yea some of intel's stuff is best in class no question

some isn't

[pale orchid]

that's the thing

[vivid halo]

they're getting kinda killed in workstation/server stuff in terms of pricing right now

depending on the use case

[pale orchid]

and what ryc said is important because drivers are a big deal

[vivid halo]

for mobile CPUs there's no contest

[pale orchid]

so some stuff will just run better on intel just cuz of historical reasons

[vivid halo]

this isn't quite true

there's some synthetic benchmarks that run better on intel literally because the software handicaps non intel CPUs

otherwise like

it mainly comes down to some differences in architecture that used to be more pronounced than they are now

like the older AMD bulldozer cpus had kinda shitty single core performance for architectural reasons

[pale orchid]

that's also true

instruction set differences are no longer as big a deal, but a lot of scientific software gets shafted when it doesn't detect things like MKL

[vivid halo]

oh sure

[pale orchid]

including both benchmarks and matlab

[vivid halo]

yea for very specific applications

[pale orchid]

and special python flavors

[vivid halo]

it does matter a bit

somehow intel still cannot make a good GPU

[pale orchid]

the new xe stuff looks really good... as on board graphics, at least

i would really say it's hard to go wrong buying almost anything from last year on

[spice oasis]

Hey guys does anyone go to queens college and has taken math 635 ??

Please help

[blazing pawn]

dude

you've asked this like 5 times

[spice oasis]

Lmao no one actually said anything

[pale orchid]

https://tenor.com/view/spongebob-how-many-times-do-we-need-to-teach-you-old-man-slow-thick-gif-12272188

[blazing pawn]

the chance that any given person in a math server is going to be in your specific university in your specific class is incredibly low lol

[neat lintel]

i only know microsoft office 635.

[eager crescent]

Aren't there lots of people in the same uni in ivory tower

[nimble shuttle]

yes but even then it doesn't really happen

[swift sinew]

Has Chris asked a specific question about anything or is he just looking for people in his class

[odd narwhal]

There's like 2

I think

[eager crescent]

That's a lot

[blazing pawn]

Most of the people that share unis were invited by each other

And at a big college the chance of sharing a specific class is way lower

[eager crescent]

Eh they just asked is someone took that class at some point though, not if they are taking it now

[blazing pawn]

Thats still really low chance for a non intro course lol

Even an intro course

[odd narwhal]

No one in this server goes to queens college

Trust me

[swift sinew]

Chris does

[bronze pelican]

Which Queens College

Ok

[deep mango]

But you definitely have not taken math 635 with stefan

[bronze pelican]

Oh 635 is stochastic processes

Grad courses at Queens College
https://www.qc.cuny.edu/Academics/Degrees/DMNS/Math/Courses/Pages/GraduateCourses.aspx

Who takes these grad courses?

I guess this is for masters students

[sweet tundra]

Hi

[bronze pelican]

Does anyone have this issue with wikipedia where sometimes math symbols are randomly rotated?

its been happening a lot for me lately and I have no idea why

[narrow rock]

yeah

zoom in

cox eter

[bronze pelican]

that's sp weird

zooming in fixes it

but if you zoom back out the same issue is present

[narrow rock]

yeah

[whole copper]

How many matrices do u need to generate a dense subset of GLn, or SLn, or stuff like that

[pale orchid]

it's been happening to me on chrome for 2 weeks

apparently it doesn't happen on other browsers

[bronze pelican]

o

[odd narwhal]

At least 2

[vast surge]

Jesus Christ; class averages at my school are just ridiculously fucking low. I missed a week of class due to the pandemic, didn't know half the material on a midterm and got the lowest grade on that midterm that I've ever gotten on a test, and I still got just a bit better than the class average.

[leaden skiff]

epic

[fair wedge]

yo whassup

how can i make money knowing some university mathematics but without the degree?

[deep mango]

😐

[velvet dagger]

Eduu: math won't directly get you cash, if you have math skills that can be applied to a job or if you can do some kind of work that you'll profit from then that's what you should look at

What you need to do depends on the situation

[fair wedge]

sorry if my question is considered as one with lucrative intentions... but i am really trying to figure it out... but thanks sloth king daminark

[rancid meadow]

becoming a software engineer

🙂

[velvet dagger]

It's fine to have lucrative intentions, I just mean we'll need specifics to give non-generic advice

[fair wedge]

you're right sloth king daminark, it depends on the situation... i'd love to find a job that requires university mathematics but without the degree... i mean, like doing the hard part of mathematical modeling or optimization or smt...

Well... talking very seriously, what else do mathematicians do for industries? I know they can do very well the part of mathematical modeling and optimization... is there somebody here that works for an industry? can that person tell me a little about his work routine?

[velvet dagger]

So, it basically depends on what else you do. Math tends to enhance a lot of pursuits, but it's only ever the primary object of a pursuit if you're in academia

If that makes sense

So for instance, a lot of engineering jobs require doing some math. But you can't just do math, you also have to know e.g. physics

[leaden torrent]

if you know "some uni mathematics" you might be able to get certified as an actuary or something

or an accountant or what-have-you

those programs are typically shorter than full degrees and dont require any specific bachelor

(though they tend to require a bachelor's of some sort, but i think theres ways around that)

the process for this will vary by region though

and in any case, youll have to do some studying to be able to pass the certification process

[velvet dagger]

Actuary might be the most obvious choice tbh

[rancid meadow]

software engineer

if u want bread thats the move

no way around it

actuary requires too much work

[velvet dagger]

Lol, probably not the only way? It's the default way but perhaps someone's background is better suited to actuarial work

[leaden torrent]

you need a degree for software engineering though

[velvet dagger]

e.g. if you know the relevant stats and math but not CS

[rancid meadow]

sorry. software developer

[leaden torrent]

like a proper 4 year degree

or like

a broken github

[wild jay]

hey who does Ma4

[rancid meadow]

u do not need naything but a grindset

[leaden torrent]

both are a lot more work than just getting a financial cert

[rancid meadow]

i feel like to get a good acturary position u need to do a lot more than get the cert

[deep mango]

jesse gets the job, within minutes has turned into a software recruiter

[velvet dagger]

Secretly got employed by HR

[rancid meadow]

if i can do it anyone can do it bro

[fair wedge]

is there any job related to environment-caring that requires maths and does not require a degree?

[leaden torrent]

probably not

[rancid meadow]

software engineer for environmental-caring firm

[fair wedge]

i think so

[velvet dagger]

I need to get that finance internship

[fair wedge]

and that's true

[velvet dagger]

And just start shilling for finance

[leaden torrent]

where are you getting software jobs w/o a degree

[velvet dagger]

So it becomes Daminark vs jesse

[rancid meadow]

most of these places dont care about a degree

if you really want to find jobs that dont ask for a degree look in the crypto market

[leaden torrent]

if you have experience or a really good github sure

okay lmao

[rancid meadow]

those people dont event want resumes

[leaden torrent]

crypto
environmental

🤔

[rancid meadow]

i knew u were gna say that

[deep mango]

jesse do you know if your job has a nice kitchen or something

[rancid meadow]

uhh

[fair wedge]

well, it actually works... i had a schoolmate that worked as a developer since he was 17 yo because he did a course about it

[rancid meadow]

let me check ryc

[deep mango]

like is there an espresso machine

[velvet dagger]

Namington: I think the gcd would just be "demonstrated coding proficiency"

So school would be the most common way to achieve this

[rancid meadow]

https://www.youtube.com/watch?v=l7PgpEJGUPk

[deep mango]

do they have sparkling water on tap

[rancid meadow]

i havent watched this video eyt

ill do it now

[velvet dagger]

But the priority isn't school so much as demonstrated competence

[deep mango]

it's 15 fucking minutes

[bronze pelican]

What is sparkling water

[rancid meadow]

LMAO

its a godo office

cope

[bronze pelican]

Is it water with bubbles

[deep mango]

this guy is a fucking tool jesse

is this you?

[rancid meadow]

GROW BETTER

this guys sick fym

[velvet dagger]

Basically? re sparkling water

[deep mango]

it's a vertical video

HEY TINA

[rancid meadow]

we r watching it at the same itme

cute

its his favourite spot

[deep mango]

yeah

[velvet dagger]

I guess depending on what you mean by bubbles I should clarify: it's carbonated, like seltzer basically

[deep mango]

they've got the brick wall

[rancid meadow]

damn this is kinda nice tho

[deep mango]

hubspotters

[rancid meadow]

the atrium goes hard

[deep mango]

i mean it looks nice but... come on...

[rancid meadow]

this dude has a plug walk

smoothie bar

W

[deep mango]

employee wellness

ok

come on

it's SMOOTHIES

[rancid meadow]

?

[deep mango]

i love smoothies

but

[rancid meadow]

u sound jealous

does courant have smoothies

No.

[deep mango]

it's so like

corporate

[bronze pelican]

Why doesn't the vertical video play vertically

[rancid meadow]

its literally a company ryc

[deep mango]

no i do not have smoothies

i want smoothies

[rancid meadow]

i love all the orange

orange is my favourite colour

:v

[deep mango]

yeah orange is a good color

it's very very nice

[rancid meadow]

do u see all those bananas

LMAO

[deep mango]

yes

wait i dont understand

are the smoothies free

[rancid meadow]

its fucking donkey kong

ya

[fair wedge]

that's so true omg

[deep mango]

or do you use your own salary to pay for them

[rancid meadow]

i mean they must be

[deep mango]

WHAT

[rancid meadow]

why would they be paid for?

huh?

[deep mango]

i hope to fuck you get disappointed and they're like 8 bucks

[rancid meadow]

LMAO

that would be so twisted

[deep mango]

(usd)

why does he keep saying fun fact

[rancid meadow]

no actually i know its free

[deep mango]

when it's not a fun fact

[rancid meadow]

cuz one of the perks for the job is free food

[deep mango]

what

oh my god

i hate it

[rancid meadow]

cope

[deep mango]

how dare they accept you to this

[rancid meadow]

LMAO

[deep mango]

there's a fucking gym!??

[rancid meadow]

yeah :)

foxboro

[bronze pelican]

Are you gonna work there jesse

[deep mango]

can you just do whatever you want

i don't understand

[rancid meadow]

yeah i just got an offer today pty

[deep mango]

what's the actual job

[rancid meadow]

i am software engiener intern

[deep mango]

24/7 gym

[bronze pelican]

Congrats

[deep mango]

so you can be at work 24/7 huh?

[rancid meadow]

damn ppl are acutally using the gym

king shit

[deep mango]

free towels

[rancid meadow]

gonna start showing up at 3am to gym and get yoked

[deep mango]

it's just a fancy hotel

[rancid meadow]

showers

this is so sick

omg the towels are orange

[deep mango]

they run classes.

[velvet dagger]

Oh I thought you were a recruiter at a software engineering company

[deep mango]

wat

[rancid meadow]

fucking equinox trainers??

lmao

[deep mango]

spin class

LOL

[rancid meadow]

MIDNIGHT AEROBICS

LMAo

this is legendary

[deep mango]

is capitalism really THAT bad?

[rancid meadow]

oh wtf another two buildings???

[deep mango]

i mean i've never even heard of hubspot

[bronze pelican]

Me neither

[rancid meadow]

u wouldnt unless u use them lmao

its a CRM company

apparently they are fucking rich

[deep mango]

CRM

[bronze pelican]

Whats CRM

[rancid meadow]

customer resource management

[deep mango]

hmm

[rancid meadow]

its stuff for sales and marketing and stuff people

[bronze pelican]

Oh so like keeping track of customers information

[deep mango]

soulless

he keeps saying "space"

[rancid meadow]

yeah pty sort of

lol they got the pods

[deep mango]

they have meeting pods

[rancid meadow]

they have offices in dublin too

i wanna go to dublin

[bronze pelican]

I watched a lawnmower video where the guy said you need to have a CRM to keep track of your clients

Not that I'm trying to become a lawnmower

[deep mango]

waffle wednesday

[rancid meadow]

holy shit this is so goated

waffle wednesday

[deep mango]

why don't they have waffles every day

[rancid meadow]

i want a waffle to start my day

u can make one with ur fat salary

i cna afford all the fancy waffles i want

[deep mango]

i don't have a waffle iron i used to

i gave it away

fucking bleachers

wow, i can't wait to see actual workspace

[rancid meadow]

LMAO the bleachers are funny

hubsbubbers

[deep mango]

after 10 minutes of chill out area

[light needle]

waffles

[deep mango]

what's wrong with waffles

it's more cafes

come on

[rancid meadow]

LMAO

this is amazing

Teabot

holy fuck

[deep mango]

espresso

what the FUCKKkkkskjnbn

no

i can't

[rancid meadow]

wait till i tell u the salary ryc

[bronze pelican]

I'm curious

[deep mango]

i was ready for it to be the fucking steve jobs room

but it's the grace hopper room which is not bad

[rancid meadow]

45usd/hr so ~7800 usd a month

[deep mango]

wow

ok

[rancid meadow]

plus 3k usd relocation bonus

[deep mango]

the desk spaces are soulless