/sci/ - Science & Math

It's not that I'm dumb. I'm just alternatively intelligent!

>>12645294
https://www.wikizero.com/en/Japanese_theorem_for_cyclic_quadrilaterals

Can you use your altelligence to help me prove this?

>>12645298
Nope, sorry. I haven't done pretty much any geometry since HS, so I don't remember any identities or stuff like that. You should probably try prove it for a rectangle first, though. I mean, it should be pretty obvious that it holds for those, but still like actually prove it. Then generalise the arguments.

>>12645298
i've been btfo'd by that problem during my highschool time
please have mercy...

>>12645335
Im working on modifying a rectangle

of course the solution is just some angle chasing and yet i wasn't able to come up with that, fuck this shit maybe there's a career in category theory for me

>he can't multiply/divide 3 digits numbers in his head
>he can't sum/subtract 6 digit numbers in his head
>he can't derive polynomials in his head
>he can't solve problems without drawing figures
>he can't factorize and cancel in his head
>he needs to write the quadratic formula down to solve for roots that are integers
>he doesn't know how use a ruler and compass
>he can't draw functions by hand
>he can't solve linear algebra without drawing
>he doesn't do all the exercises because he "already knows" how to
lol no wonder most modern westernoid zoomers are braindead retards.
>inb4 muh concepts
math and number intuition is a skill, you are not increasing this skill when you need to use a calculator for 7+7

Theres a dradeoff between angle and length here...

>>12645349
Pythagoras didnt solve this theorem either anon

>>12645358
Agreed

Es scheint wie Mutter Jimmu

What's the next best pathway for me after finishing Amann-Escher's Analysis I-III series? It's an abstract analysis series for those who do not know. I plan on applying this stuff to CS or going to the finance route.

>op's pic
prolly something with inscribed and circumscribed circles. the solution is trivial so it's left as a trivial exercise for the reader.

>>12645401
Its from Japan not Europe
The reality rends different

I have just done an exam in intro to algebraic topology (covering spaces, higher homotopy groups and homology) and i had so much fun. Now i have to do this piece of shit and i want to kill myself. The lack of rigour of this book is annoying me so much, is all of physics like this?

>>12645422
Yes. Nature makes the rules.

Hello all. I just got into a PhD program in the US, but it’s still early in the process and I want to hear from other schools. How should I respond gratefully to the acceptance email without sounding like I’ve made my decision?

>>12645462
I just thanked them excessively and said something like how I'm excited to learn more about the program and that i'll communicate my decision to them as soon as i'm able.
i don't think you need to worry about being upfront about it, they realize everyone's applying to multiple programs.
congratulations on having an option, i also have recently been admitted to a program. we're gonna make it!

>>12645422
what could you possibly mean by this? there are plenty of somewhat rigorous electrodynamics books if you want them, but nothing in griffiths cannot be justified by some elementary analysis.

I've failed or barely passed my differential geometry and differential equations exams.
Any suggestions regarding books or online courses that could help me out or any suggestions in general?

>>12645602
Take acid and work on it

/mg/, please redpill me on this:
Let X be a Polish space, and let [math]T: X \to X[/math] be a Borel automorphism of X (in other words: T is a bijection, and both T and T^-1 are Borel).
Let's also assume that for all [math]k>0[/math] and [math]x \in X[/math], we have [math]T^k x \neq x[/math].
Is it possible to find a Borel set [math]A \subseteq X[/math] such that [math]A \sqcup T(A) = X[/math]?

>>12631255
Pls help. Discrete dyn systems seem to be a niche topic nowadays and I'm confused by the equations that popped up in my work.

>>12645770
"discrete dyn systems" is a clusterfuck area made up of thousand barely related topics, just go and search for whatever you need

>>12645781
I need non-linear recursion relations. But it's kind of hard to find stuff on that. For linear or inhomogeneous ones there's the book by Knuth, Concrete Mathematics, which basically covers an introduction very nicely. Maybe I should try reading a book on infinite graphs and study their techniques? That's where I at least expect to find something usable.

Can anyone rec me some resources/textbooks on multilinear algebra? Specifically I'd like a decent introduction to things like dual spaces, tensors and exterior stuff cuz otherwise it gets pretty handwavey when dealing with that in physics classes

>>12645830
By reading a book on multilinear algebra you're robbing yourself of the joy of discovering it on your own.

>>12645833
I'm legitimately autism so I canẗ tell if you're serious

>>12645857
Ask a specific question about multilinear algebra. We'll give you hints on how to arrive at the answer.

>>12645860
Can anyone rec me some resources/textbooks on multilinear algebra?

>>12645862
https://en.wikipedia.org/wiki/Multilinear_algebra

I am too much of a brainlet for these exercises. What's a book with similar content but presented in a way that's more accessible to brainlets?

>>12645876
Are you trying to just learn algebraic topology? Try Introduction to Topological Manifolds by Lee (reviews Point set topology also).

Hello, I need help with this very simple probability problem. If P(A) <= P(B) then A belongs to B, is this true or false?

Please answer me fast. Thanks.

Let's say I have a morphism of affine varieties over the algebraic closure of a field [math]k[/math]:
[math]\varphi : V_1 \longrightarrow V_2[/math]
such that it is defined over [math]k[/math], i.e., all the polynomials defining the map have coefficients in [math]k[/math].
Then [math]\varphi[/math] induces
a field embedding [math]\psi_1 : \overline{k}(V_2) \longrightarrow \overline{k}(V_1)[/math] but also the field embedding [math]\psi_2 : k(V_2)\longrightarrow k(V_1)[/math] through pre-composition by [math]\varphi[/math].
Is it true in general that [math]\big[\overline{k}(V_1) : \psi_1[\overline{k}(V_2)]\big] = \big[k(V_1) : \psi_2[k(V_2)]\big][/math] ? How can I prove it?

>>12645975
Not true. Throw a coin twice. Two heads and two tails have the same probability but neither contains the other. Now formulate that set theoretically.

>>12645876
Rotman's AT book.

>>12645757
I don't know how to do this, but here are some ideas I would think are useful. The Borel isomorphism theorem, so you can transfer this problem to Baire space. And the fact that the image of injective Borel functions are Borel, so you know that the image of such a map is Borel. You might consider looking at Srivastava's book A Course on Borel sets.

>>12646009
Thanks. At least I'll get one question right on the test.

>>12645757
Let [math]X = S^1 = \mathbb{R}/ \mathbb{Z}[/math] and [math]T(x) = x + \pi[/math]. Can you find such an [math]A[/math]?

how do you multiply a percentage? i mean how many times do you increase 1 by 1% before it becomes 2? less than 100 obviously, since 1% of 1 is 0.01, 1% of 1.01 is 0.0101 which adds to 1.0201 etc. just give me the formula, or calculate this for me please

>>12646276
Please use /sqt/ next time. I answered your question there btw.

>>12646244
Suppose A is such a set, then [math]A \sqcup T(A) = X[/math] implies [math]T^2(A) = A[/math].
Since T preserves Lebesgue measure [math]\lambda[/math], we must have [math]\lambda(A) = \lambda(T(A)) = 1/2[/math] (the sets are borel, so measurable).
But T^2 is ergodic and this implies [math]\lambda(A) = [/math] 0 or 1, contradiction.
Thank you sir.

>>12646356
I'm not a sir, mon ami.

>>12646379
are you an attractive transsexual person?

>>12646393
No, mon ami. Sir is a brit thing. Fuck brits.

>>12646409
can i call u "bro" then, would that be okay

Each collection of axioms generates a different domain of true and false statements. Is determining which collection of axioms applies to the real world part of math, logic, philosophy or physics?

>>12646507
neither, it's common sense

>>12646447
Sure.

I need to find a substitution so that

[math]dx \left( y^2 \sinh{x} - \frac{2(y^{'}(x))^2}{\sinh{x}} \right) = du \left( y^2 - 2(y^{'}(u))^2 \right)[/math]

So what is [math]u[/math]?

so we got an urn like ( wwwwwwwwnnnn )
should each draw like wwwn, wwnw, wnww, nwww be equally likely its just 50/50 with or without replacement ? it either happens or it doesn't

I'm finishing up a BSc. in Applied Mathematics. Should I get an MSc. in Mathematics or an MSc. in Statistics? Or what Master's degree should I get instead?

anyone has read Tao's notes on Linear Algebra? any reviews?
https://www.math.ucla.edu/~tao/resource/general/115a.3.02f/

Reposting my dumbness
I feel like an idiot, but it's been years since I went to college. I'm trying to generate a function to randomly generate a number [0,1] that weights 50% at 0 and inverse-logarithmically slides down to essentially 0 at 1. Can anyone help, or should I try to dig out my old notebooks?

Asked this on /sqt/, but no one responded so maybe I'll get some responses here. Learning the math behind stat mech has been a long-term goal of mine, and now that I've taken a few courses in measure theory, I think I'm ready to tackle Khinchin. Any other recommendations I should consider, or if I should read up on other subjects before diving in?

>>12645490
Greens functions aren't elementary analysis. Elementary analysis can only treat meme problems

I'm learning statistics. Good books that use R?

>>12645862
There aren't many books dedicated to the subject, one that is is Greub's book, but it's difficult to learn from on your own.
Hoffman Kunze has a brief introduction to it, and Lang (Algebra) has some material also. So does Aluffi.
However, I'd suggest looking at Keith Conrad's notes, they are very good at explaining stuff you might have difficulty with.

>>12647544
just learn all of PDE's, functional analysis, and measure theory, then you'll be fine

>>12646552
>Sir.

>>12647594
Well yes but that's hardly elementary analysis.

>>12647639
sure, but better to be safe than sorry

>>12647563

>>12645271
Why don’t most beginner math books discuss modulo arithmetic/modulus operator?

>>12645271
Math is geometry. Geometry is math.

So, is it true topologists don't actually prove shit?

>>12645271
I just started calculus this semester and so far i'd say it is so much easier to me than precalculus. I find it strange and wonder why? I guess I was always just better with concepts rather than memorizing things.

>>12645602
I'm shilling these lectures again because it's as clear as basic diff geo gets
https://www.youtube.com/watch?v=7G4SqIboeig&list=PLFeEvEPtX_0S6vxxiiNPrJbLu9aK1UVC_

>>12645830
I think Lee's diff geo books introduces tensors and exterior products the abstract way (quotient modules), you could give that a try

Anyone know the correct definitions of supercompact and tall cardinals and the difference between them? Wikipedia seems to have the same definition for both, unless I'm misreading it somehow.

https://youtu.be/fUCha98unY4
boyos are we hyped?

Does anyone here have a masters degree in a math related field? What was your experience like?

>>12648324
I got a good kick out of his video debunking Dedekind cuts, but does anyone actually bother with his other stuff?

>>12645358
>>he can't multiply/divide 3 digits numbers in his head
>>he can't sum/subtract 6 digit numbers in his head
>>he can't derive polynomials in his head
>>he can't solve problems without drawing figures
>>he can't factorize and cancel in his head
>>he needs to write the quadratic formula down to solve for roots that are integers
i do all of this and i graduated from a top 10 in the world math program with honors
nice cope with your subhuman robot skills, enjoy yourself

>>12648324
no one cares about his shit, the comment sections of his videos are mostly schizos
he's an old man trying to be edgy

>>12645358
>using the quadratic formula
>ever

>tfw realise every single question in all my assignments are word for word copied from a text book

>>12648619
I dont have masters, but I recently asked one of the math PhD students this exact question. He said it was brutal since he was doing a lot of modelling yet had no physics background so he had to quickly learn a lot of shit to be up to speed.

Basically he said that if you have an idea what area you'd like to study, find out what you should know to do that in post grad and do as many relevant courses as possible during undergrad.

>>12647970
Calc is easy. Multivariable and differential equations is where it starts to get tricky so make the most of this laps in difficulty for now.

I just made a new studying schedule for myself. Could you guys rate it for me?

Morning: Watch class videos. Take notes.

Afternoon: Read my notes. Do the recommended exercises. Explore my options and find new techniques to solve and prove problems.

Night: Read the books. Do some book exercises. Debate questions with my professors and colleagues if I feel like it is needed. Go to bed before 22h to get 8h of proper sleep and start the cycle again the next morning.

Why is there no Physics General?

>>12645862
kostrikin's book on linear algebra and geometry is another reference

>>12648904
That book is a relic from the past, but it doesn't suit the sensibilities of modern students and is therefore useless as a serious guide. It serves more of a historical purpose than a practical one nowadays.

>>12648913
How about Greub's LA and Multilinear Algebra book?

>>12648951
Never heard of it.

>>12647203
bumping

>>12647203
>>12648989
How are we supposed to know what you should choose? You're the one that knows yourself the best, dude.

>>12649009
Yeah, but what leads to be careers? For reference, I play to be a Data Scientist.

>>12649190
*better

>>12648623
what did your professor's old shriveled penis feel like inside your intestines? did you fellate the entire faculty ?

>>12649269
first of all my professor was middle-aged and i loved the feeling of his thick uncut penis in my boypussy (i also blowed him multiple times)
yes to the second question

>tfw no qt math trap to bust loads in

>>12649388
bro... i feel u...

>a, b are integer
>prove a^2 - 4b != 2
I'm stumped, it's over.

>>12649417
you can still succeed as a category theorist

>>12649190
What? I don't think I understand your english very well. What do you mean by you play to be a Data Scientist? Play? Or maybe you meant pray? Anyway, as long as you manage to finish a PhD you should be fine if you're living in a first world country, you won't get unemployed.

>>12648148
Ok, found the difference, a single letter difference. Where supercompact has [math]M^\theta \subset M[/math], tall has [math]M^\kappa \subset M[/math].

>>12649464
*plan

>>12649417
Use the fact that a^2 is only congruent to either 0 or 1 mod 4, and think about why that helps you solve the problem.

factorise and think about what a and b could be

>>12649592
for >>12649417

factorise your brains out of your head

>>12649608
LMAO OWNED

>>12649608
>>12649630
Cringe samefagging

>>12649417
>mathfags make shit overcomplicated
Put it as a^2=2(1+2b) That means a^2 is even but that mean a must be even so a^2 must be divisible by 4 and so a^2/2 cannot be odd.

>>12649647

> That means a^2 is even and must be divisible by 4
You can stop there. That is enough to prove the statement by contradiction since 1+2b is always odd.

>>12649427
Is this an inside joke?

>>12649647
>>12649682
Ohh, gotcha. Should have noticed; solved the sqrt2 is irrational bit

Is mathematics a field of logic or is logic a field of mathematics?

>>12649630
>>12649641
nice cringe contest

>>12649735
discussing meaningless distinctions does not belong in /mg/

>>12649741
Cringe inspect element faggot

>>12649682
That's what I said autist

>>12649608
>>12649630
BASED samefagging.

Can anyone give me a good recommendation for a book-length intro to class field theory? Modern Algebraic Number Theory books tend to have 1-2 chapters about it, but I want some more in-depth discussion and exercises.

>>12649747
>faggot
Why the homophobia?

What is a good book to get into computer graphics/comp geometry for a mathematician?

>>12649903
I haven't read this personally, but what I've heard people say has been mostly positive. https://www.springer.com/gp/book/9780387276779

>>12645830
It's very modern, graduate level shit, and it gets worse when you bring differential geometry into it. Expect a massive time investment if you truly want to learn tensors.

>>12650434
le its just a matrix faec

Wie goots

Was denkst du um mein Knotengewölbe

>>12650557
Einfach auf den Whiskey Brudi!

Do you guys look down on the people that have lower grades than yours?

>>12651199
no I'm not a complete retard

>>12651199
Yes and if i get a lower grade than the best grade i look down on myself and then drop out and become a NEET.

>>12650434
Agreed, fully understanding tensors is a deep rabbit hole, either on the algebraic side or the geometry side.
Also obligatory
>a tensor is an object which transforms like a tensor

It gets better after calc 2 right.
I can't stand the "here's a problem this is the solution" cycle. There's no proofs no fun nothing. I have to go out of my way to actually figure out why xyz is true or why we defined abc to be this. There's no motivation for anything.

>>12651390
not quite after calc 2, typical calc 3 and differential equations courses feel very much the same way
but elementary linear algebra will finally have some proofs, but a large part of it will still be computation

>>12649903
>>12650392
Oops sorry. I noticed the word "class" only just now. Roman for fields, no idea what for class fields.

>>12651199
Yes, why wouldn't I?

>>12651399
thank you anon, at least i know the end is in sight

>>12651390
Every single math course I took proved the relevant statements, except when it was beyond the scope of the course. Maybe change universities or something

>>12651390
statistics sucks a massive cock. fuckton of terms, theorems and distributions that are never delved into. just memorization.
probability started kinda fun but statistics is all npc shit. one of the most practical fields in mathematics is taught super abstractly.

>>12651443
You're lying out your ass anon. No calc 1 or 2 class is taught with any rigor (because everyone has to take them). The higher up you go the more proof based the courses become.

Why do amerimutts start with Calculus instead of going directly through Analysis? Eurofags and chinks go directly through proofs in their first year lmao.

>>12651499
>Eurofags and chinks
Their 'Analysis' is nothing mpre than Calculus, it's just a difference in terms. Sometimes it's even more dumbed down than the Calculus they teach in America.

>>12651509
In Germany, we start with the German equivalent to Rudin (Amann-Escher's Analysis series).

>>12651491
I'm 100% not. First two years have the exact same course for every degree in the faculty, and that includes all engineering degrees by the way.

>>12651512
No, you do not. Stop lying, retard.

>>12651520
lmao what? your first and second year are going to look vastly different depending on your major and degree (bsc vs ba)

>>12651543
You can believe whatever you want dude, that's how it's structured here. To be fair there's a lot of bitching from computer science and biotech fags but they have to suck it down since they have no other options. Engineering degrees are 6 years long though so 2 years is not that much in comparison.

>geometric proof

>>12651491
you went to a shit uni anon. i would know because i went to one too.

>>12651499
because american unis are profit making ventures first and foremost and they need to crank out engineers and premeds so that the administrators of the uni can buy million dollar houses and hookers and blow

>>12651199
i had absolute shit grades so no. i actually graduated by technicality. my intra major computer science GPA was < 2.00 (the cut off). I think it was 1.97. But they round to the nearest tenth of a percent so i graduated kek.

>>12649735
doesn't matter. math is the one field of inquiry where stupid stoner philosophy major sophomore questions have no standing because they're completely irrelevant. "is mathematics logic hurr durr" depends on what you mean by logic and math and any good mathematician would be able to answer your question systematically given some time but you're just dumb.

>>12649388
does anybody have qt t girls in their math or cs department? i had one math prof who was a weeaboo (her official uni photo had her holding a katana) but i think she actually had an honest to god vagina.

>>12648894
physics is boring

i am studying math only because i want to learn high level finance and escape wage slavery because i am nihilistic and have nothing greater to live for. please say something nice about me.

>>12651683
>because i want to learn high level finance
Know any stochastic calculus?

>>12651695
that's what i'm going to study after pic related. im frankly a shite mathematician because i was never really interested in it so i'm doomed to never be a prodigy but alas i don't want a fields medal i just want to price securities with a bot

>>12651199
depends how much lower

Anyone knows Richard E. BORCHERDS on youtube?
Just found his channel yesterday, and I must say I really like it.

>>12651683
maths is useless to get rich. Math is only used because
-atheists think that using maths will turn any field as a ''''''''''''''science'''''''''''
-atheists think that an asset has ''''''''''''''fundamental value'''''''''''''(see the brainlet like graham and so on)
-atheists already in finance use math in and value everything with their formulas, but it doesn't mean the value they output is actually the '''''''''''''''''fundamental value''''''''''' of the asset. it's just that everybody right now uses the same formulas, so they just cling to the same delusion and pass it as reality

If you want to earn money with finance, then buy nasdaq and an etf world.
If you want to trade, do it every day and just follow the herd. you sell what other people sell and buy what other people buy.
Dont try to invent some crappy martingale or go against the hard.
Once you keep day trading for a few months, you try to time the market.

>>12651683#
maths is useless to get rich. Math is only used because
-atheists think that using maths will turn any field as a ''''''''''''''science'''''''''''
-atheists think that an asset has ''''''''''''''fundamental value'''''''''''''(see the brainlet like graham and so on)
-atheists already in finance use math in and value everything with their formulas, but it doesn't mean the value they output is actually the '''''''''''''''''fundamental value''''''''''' of the asset. it's just that everybody right now uses the same formulas, so they just cling to the same delusion and pass it as reality

If you want to earn money with finance, then buy nasdaq and an etf world.
If you want to trade, do it every day and just follow the herd. You sell what other people sell and buy what other people buy.
Dont try to invent some crappy martingale or go against the herd.
Once you keep day trading for a few months, you try to time the market and follow the herd.

Is this just an evasion of set notation? It literally says the expression is actually one of two expressions, aka a set. Why not call a spade a spade?

>>12652027
why spend time discussing meaningless issues with symbols that you understand well?
you could learn something new maybe?

>>12652027
Because there's nothing wrong with it.

[math]\sqrt{4} = \pm 2[/math]

>>12652032
Why can't I just as well say x = a - 1; a + 1 ? If the equals sign has no meaning anymore, why not make LHS and RHS a set

>>12652065
guess what, people used to write this, but they got bored so they invented a shorter notation

>>12652070
So equations are pairs of sets.

>>12651776
It's cool that a field medalist makes youtube videos

>>12649903
Milne has notes on class field theory, 200+ pages. They are very good. There's only a few exercises in an appendix but they have solutions. Also, most class field theory books don't have exercises it seems.
His notes have an extensive bibliography so you can check that out.

>>12652086
holy shit, how did I not notice that
explains a lot I guess

>>12651468
Have you ever seen the theory behind statistics? It's nasty as hell.

>>12652027
>this is your mind on set theory

>>12652027
Surely, you mean the functor [math](\mathbb{R}, <) \to (\mathbb{R}, <)\times (\mathbb{R}, >)[/math] sending an object [math]x \in \mathbb{R}[/math] to [math](x, -x)[/math] and the unique morphisms [math]x \to y[/math] to [math](x \to y, -x \to -y)[/math] when [math]x \le y[/math]?

>>12651199
A-anon, I'm giving the grades.

Do you guys attend your online classes (those of you who have them) ? I haven't in several months because of how utterly boring they are, but I'm kinda worried I'll miss important stuff

>>12651668
>i had absolute shit grades so no. i actually graduated by technicality. my intra major computer science GPA was < 2.00 (the cut off). I think it was 1.97. But they round to the nearest tenth of a percent so i graduated kek.
How was your future after that? Did you manage to get accepted into a PhD program? I'm in a similar situation...

>>12652034
wrong, sqrt(4) = 2

>>12652389
Look out guys, we got a Ramanujan here. What a genius, who would have thought that sqrt(4) = 2? Someone get this man a Fields Medal.

Is there an intuition behind connectedness in the Zariski topology?

Let [math]\omega_0, \ldots, \omega_{n-1}[/math] be the [math]n[/math]th roots of unity. I want to choose some nonnegative numbers [math]c_0, \ldots c_{n-1}[/math] such that [eqn]\sum_k c_k \omega_k^k = 0.[/eqn] Is there a simple condition that the [math]c_k[/math]s have to satisfy for this to be true?

>>12652514
I mean obviously I can choose all numbers to be equal, but I want a full description of the set of numbers satisfying this

>>12652514
http://www.seminariomatematico.polito.it/rendiconti/cartaceo/53-4/487.pdf
https://www.sciencedirect.com/science/article/pii/S0021869399980894
http://www.kurims.kyoto-u.ac.jp/EMIS/journals/INTEGERS/papers/k31/k31.pdf

>>12652514
This is a complex-linear relation in the [math]c_k[/math]s, which we can separate into two real-linear relations. That makes the set of all such [math]c_0, \dots, c_{n-1}[\math] into a codimension-2 linear space in [math]\mathbb R[\math]. Specifying that the coefficients are nonnegative means taking the intersection with the all-nonnegative portion of [math]\mathbb R[\math].

So I need help with math, I already flopped last year because I dont know high school math to be able to understand basic uni so any help? best resource?

>>12652865
>Reddit image
>Not even math related
End yourself.

>>12652869
Use /sqt/

>>12652878
They're radio silent

>>12652869
Best resource is closing 4chan and starting studying. Whatever book you find on Amazon with good reviews will be OK. The only thing that matters is that you just start already and stop wasting time.

>>12652879
/sqt/ kind of gets this question every single thread.

If a second order differential equation is homogenous, and the initial conditions are x(0) =0 and x'(0)=0, will the answer always just be y=0?

>>12645422
Have you tried Jackson's Classical Electrodynamics?

>>12652869
Khan academy, OpenStax, your high school maths textbooks, Math Sorcerer endorsed intro books, etc.

Even Wikipedia can be a good source.

The non-brainlet way of learning is autonomous information procurement. Books help you with the curriculum, basic ideas and exercises, the rest is up to you.

>Perspectives on quantum link homology theories
>We are organizing a student workshop based around recent developments in link homology theories, with particular focus on Khovanov homology and other quantum homology theories. The workshop will be paired with and provide background for a two-day research conference.
>SFB student workshop 9–13 August 2021 + research conference 13–15 August 2021
https://cbz20.raspberryip.com/Perspectives-2021/#home

>>12653577
i have no idea about what's "quantum link homology" but i bet it's absolutely irrelevant to actual quantum physics

>>12653756
It makes really simple topological argumenta a clusterfuck no one understands so yeah

>tfw cant even do precalc
How am I supposed to do calculus?

>>12653756
Neither have I, nor do I care. Someone else might, so why not share the link.

>>12651668
>does anybody have qt t girls in their math or cs department
Like I'm gonna share where all the cute ones are so you can come here and try to get with them. Better luck next time nerd.

There are cute girls in my math departament, but they're all leftista or sluts. There are more cuties in the physics department imo but they face the same problem. I know a physics cutie who plays the cello, speaks 4 languages, watches anime and play vidya, basically the dream girl for a 4channer, but she's a huge slut who slept with god knows how many men. She even told me she fantasize herself fucking the people in her class during class. Such a shame...

>>12653920
what a based girl
i hope she has a penis

there are 0 cute girls in my departement
math guys usually fuck girls from the biology department, or their hand.

>>12649388
The only cute girls in my department are chinks, and sadly asians aren't my type.

I am currently an Applied Mathematics major. Is it worth changing my major to Statistics if I'm going to get a Master's Degree in Statistics anyway? The difference is that I can graduate in two years if I stay in the Applied Math program but I have to graduate in three years if I switch to Statistics. I want to look at careers such as Data Science and being a Quant but I don't want to miss out on learning from relevant courses that I would have taken if I majored in Statistics.

Also, let's assume that both programs take the same amount of time to complete. Is there a case made to stick with Applied Math over Statistics given the my intention to study for a Master's in Statistics and my goal career in the field of Data Science?

>>12654154
Not worth it, nobody gives a fuck about your degree if you have a PhD.

>>12651815
Programmable bots yo ho

>>12653514
I think we have stablished math sorcerer a shit

>>12654165
But what if it's a MSc?

>>12654238
But you're going to do a PhD afterwards, right?

>>12654247
Maybe down the line, but I plan to start working after my getting my Master's.

What answers are present in mathematics, I wonder. When I chose it as my degree, I thought it would open doors for me to see the truth of the world, but the deeper I go, I see nothing but a bunch of word games. It's exactly as Wittgenstein and Kaczysnki said. Where then can I find the truth of the life and the universe?

>>12654154
Any other insights on this, guys?

>>12654475
The Bible

>>12654530
Nietszche already killed that decadent religion.

>>12654532
*tips fedora*

It's like there's this instruction manual that explains how to talk to people, and everyone in the world's got a copy except me.

>>12654638
Let me guess, daddy issues. Also, not your personal blog, retard.

>>12654532
Not sure if b8 or just 13

>>12654676
Even Wittgenstein agreed with Nietszche's views on religion. You unironically believe you're more intelligent than both of them? Keh, what a clown...

>>12654687
>authority fallacy
kek, you have to be over the the age of 18 to post here

>>12654694
Did you even read Nietzsche or are you just parroting what you read on /lit/, you fucking retard?

Since I'm a nice girl, I'll give you a tip, start here: https://www.amazon.com/Antichrist-Friedrich-Nietzsche/dp/1533633975

>>12654687
Wittgenstein was catchlick.

>>12654711
Lol no, maybe during the time he was on the frontlines of the first world war. Afterwards he became an atheist like any intelligent person.

>>12654713
>atheist like any intelligent person
HAHAHAHA, there's still people like this in 2021?

Why do I even need to learn how to solve shit when Wolfram Alpha exists?

>>12654738
Don't yiu think it's more amazing that there are actually people in 2021 that believe in fairy tales from 2000 years agi? Worst of all is that they base all their lifestyles on those tales lmao

Also, what the fuck are you doing on /sci/, retard?

>>12654750
*tips fedora*

>>12654800
Lmao sure whatever you retard

>>12654808
*tips fedora*

Is string theory going to go anywhere? I need the t mg

>>12654817
Nice argument

>>12654827
Nice ass. Bend over for me twink.

>>12654750
>loaded words
>'it's old' fallacy
>thinks /sci/ is r/atheism
>so triggered he hit i instead of o not once but twice

every surjective linear transformation splits, right?

>>12654835
What have you tried?

>>12654835
Yes

>>12654834
>Complains about fallacies
>Proceeds to write a fallacious post with no arguments
This is your brain on religion

>>12654750
>Don't yiu think it's more amazing that there are actually people in 2021 that believe in fairy tales from 2000 years agi? Worst of all is that they base all their lifestyles on those tales lmao
Just because it was made up 2000 years doesn't mean there isn't legitimate insight in the many works of the misadventures of Socrates that people can base their outlook on life around.

Stop being so anti-intellectual.

>>12654835
Yes. Think about bases. It is sufficient to know where the basis vectors are sent. Alternatively, go conceptual, show that vector spaces are projective and that any surjection onto a projective module splits.

>>12654154
bumping

>>12654851
funny image

>>12645271
Do you think that, when computer scientists work in Lie theory, they use [math]2 : \mathfrak{g} \to G[/math] instead of [math]\exp[/math]?

>>12654892
Uuhh why should I care for what they use?

>>12654892
No. That would be the engineer way, e=2. He inexacc.

I have three months left to pick a theme for my master thesis. What are some easy topics if I like topology or dynamical systems?

>>12655004
Collatz conjecture.

>>12655004
Disproof of the Riemann hypothesis

>>12655007
>>12655079
reeeeeee

>>12654475
What kind of "truth" would satisfy you?

>>12651491
My undergrad uni gives separate calc classes for non-engineering majors. My intructor followed Spivak's book, doing all the proofs. There were way more proofs than examples.

>>12648894
I've heard physicists hate each other significantly more than mathematicians. Maybe there's a link there.
But maybe they don't feel the need of a general since most threads seem to be mainly about physics.

>>12635994
Oh. But you seem to be someone pleasant to talk with, so I think you made some. Or are people from your new uni harder to approach/befriend?

>>12642339
I don't think it's virtually impossible to do math while not officially tied to academia, but without at least the experience up to the graduate school it's highly unlikely, and then one would need to spend a lot of time interacting to academics anyway (unless they are researches in the private sector I guess), which would require enough proximity to universities and enough financial independence.
It would be interesting to see data about these people, I've just seen one or two examples.
Academics get really unfriendly towards people who venture outside academia, I know two very capable guys who are having a lot of trouble with getting their PhDs because they become data scientists. It's like they cannot accept anyone who doesn't dedicate their whole time and life to mathematics, or maybe they sort of think they've become permanently corrupted by the private sector.

>>12655219
>It's like they cannot accept anyone who doesn't dedicate their whole time and life to mathematics
Unless you have ties to industry where you plan to funnel grad students it's normal to be apprehensive about giving time to someone who already has a foot out the door. This is just economics, not religion.

>>12654154
bumping

G-guys, how do I get started with statistics?

>>12647563
chambers and hastie

>>12655004
Morse homology

>>12655219
>Oh. But you seem to be someone pleasant to talk with, so I think you made some. Or are people from your new uni harder to approach/befriend?
Thanks. I actually have some (and my first) uni friends now. The people in my old uni were much harder. Could be a cultural thing, though, as warmer countries seem to breed warmer people than cold ones.

>>12655365
Be mean, get into the mode.

>>12655004
Spectral spaces.

postmodernism is
the creation of Nietzsche when he said that ''there are no facts, only interpretations''. this means there is no truths, no facts & the only thing that matters is little stories that people make up inside society

N created nihilism,he said Christianity was nihilism, but he created the nihilism of the secular humanist bourgeois that the middle class crave today. Plus he shitted on the bourgeois democracy, which humanists love from their inheritance of self destruction of the christian fathers. Half of the humanists dream of an ''enlightened figure'' leading a totalitarian republic, because humanists know deep down they have no idea what they are doing in their parliament and on how to run a country.Humanists crave being told what to do by a enlightened daddy, just like the christian crave being told what to do from their sky daddy

N says that facts are irrelevant and created the moronic meme of creating one's values. this is how braindead he was and why the bourgeois took over. When you combine this with humanism, you get the mixture of capitalism with bourgeois humanism, bourgeois republic where the middle class feels righteous for just creating their values through the goods they purchase. THe field of activities in the bourgeois republic, ie Purchasing goods and making capitalism thrive while shitting on capitalism during their arm chair philosophy time is the best basis of society that the bourgeois could have built for the middle class to feel smart and righteous while embracing an ideology which will always shit on them


This is why the middle class likes nietzsche, a mental gymnastics by the creator of secular nihilism, out of resentment for the christian nihilism, ''there are no facts dude, just create your own values to be the uberman,ie elevate your personal likes & dislieks as if they were ur new gods but also delude yourself that you are Dyonisus so that you don't feel like the rest of the sheep hedonists"

>>12654475
>I thought it would open doors for me to see the truth of the world
you must be incredibly dumb and autistic if you genuinely thought this
switch to philosophy or other pointless garbage

>>12655681
You realize that the only worthy philisophy is basically logic, right retard?

What does an mathematics undergraduate need to do for their final year thesis? I can't imagine anything new is produced, especially considering the thousands of math undergrads being churned out every year. Is it more like a 'final boss' proof, where you are expected to write 20+ pages, providing a background and motivation for the proof, etc. and proving a lot of prior theorems to arrive at the final? Do poorer math students have to write literature reviews instead?

>>12645358
Based

Why did you guys do this?

>>12656245
Surprised set theory and analysis arn't fucked too.

Is this legit? I would read it myself, but I haven't finished Jacobson's 2nd basic algebra book yet.

>>12656245
What do those numbers mean?

>>12656273
k isn’t an integer then a won’t an integer too.

>>12656263
>Thai Version
100% non-legit

>>12656289
But they are all integers. What do they mean? The number of participants or something?

>>12656311
number of papers?

>>12656273
I guess it's a proxy metric of the simplest way to state an average statement in a given field. Any retard schizo understands the statement of Fermat's last theorem but it takes a bit more work to understand Ramsey theory...

>>12645271
Is there a way to encode different complexities as numbers?

>>12656370
O(n log n) bad??? Was that written by a retard?

>>12656378
yeah honestly what the fuck
also O(n^2) is bad but clearly not horrible like an exponential growth
O(n) is fucking excellent

>>12656311
Pretending to be retarded isn’t cute...

>>12656370
>Is there a way to encode different complexities as numbers?

Yes. That's literally what you do when you write O(n) on a computer.

>>12656370
i think i managed to come up with an encoding:
horrible = 0
bad = 1
fair = 2
good = 3
excellent =4

>>12656326
Friend, I'm the one asking the questions here.

>>12656328
That sounds reasonable.

>>12656388
I'm not pretending to be retarded, I was asking if those are course participants in some big uni. My uni was small, but we had still like 300 people in the first courses. Now, assume the uni is huge and many copies of the same course are offered every year. Then I could imagine such numbers for something like general maths meant for everyone in STEM fields. I really have no idea what it looks like to enroll in some course in the US, so I thought it could have been that. But if they are papers or understanding metrics or something, that makes a lot more sense. Also, I haven't slept for ages. Sorry.

[math]\text{Solve the diophantine equation } y^2 = x^3+p^2, \text{ where } p\text{ is a prime number.} [/math]

>got an email from potential grad advisor yesterday saying my application was rly good
>said he will get back to me with a decision in the next few weeks
>check thegradcafe this morning
>people have already been officially admitted w/ funding to the same program
This is the second safety school (AMS Group III) that has told me to fuck off and I wanna cry.

>>12656493
Not your personal tutor.

>>12656512
Oh no. Even I, a complete plebeian, could get into all the group II schools.

>>12656512
"By experiencing both, victory and defeat, running away and shedding tears, a man will become a man. It's okay to cry, but you have to move on."

>>12656512
>>12656524
What is this group thing about? Where can I see those rankings?

>>12656493
Why not try libgen for a book?

>>12656147
It's a publication you have your name on that looks good on applications.

>>12656575
Shut the fuck up and answer my question, retard.

>>12656526
Exactly. Simply redo your last 1, 2, 3 or 4 years at another school and re-apply. KEK

>>12656524
I don't think you're a complete pleb then, friend. You should see my application.
>>12656536
http://www.ams.org/profession/data/annual-survey/groups_des

>>12656584
>me no can read
If you don't care about math enough to read why do you care about the problem?
I find that American students have some sort of learned helplessness when it comes to math that prevents them from reading books that any middle schooler could read. Diophantine equations are big in the contest problem scene, so I know there must be plenty of modern books about it aimed at elementary audiences.

>>12656610
>Pedantism
If you're going to boast about how smart you are (you're not) instead of ansewring my question then get the fuck out of my thread and end yourself.

>>12656575
>implying this is a course exercise
I thought of this question when I stumbled upon similar but different stuff I'm looking.
I know at least one way of attacking it, but I'd like to see if someone knows a different way, especially if it's elementary.
And I'm not this guy: >>12656584

>>12656610
>implying I shouldn't ask just because you think there is an answer in some book
Why talk with other people if you can just read books? Let's close this general right now!

Bros... I can do proof-based problems from Lang and Rudin, but I'm struggling with computations and word problems. How can I fix this?

>>12656662
You realize books are written by other people right?
>Why talk with other people if you can just read books?
Why do you think thread is shit? Why do you think mse is shit?
Talking with others is only necessary if there are no books or papers written yet.
Diophantine equations (which you did not "come up with") are an ancient topic. I guarantee you that if not your exact equation is solved in some book the method that solves it is.
>implying this is a course exercise
How did I even imply that. Are you projecting? Talk with your teacher then and not random anons.

>>12656493
[math]x = 0[/math] and [math]y = p[/math].
You're welcome.

>>12656662
>Why talk with other people if you can just read books?
Exactly.
>Let's close this general right now!
This general is for serious discussion between adults that work in mathematics. It's not for people to answer your petty high school homework.

>>12656667
Proofs are word problems that sometime include computations.
Since you mentioned Rudin try looking up the answer to your problem, work back (or look if it is a full solution) a few steps until you find a suitable identity, and generalize the identity as much as you can. Now start the problem with that identity, make it specific to the problem you are working on, then solve in a few steps.

>>12656710
I'm not sure if that's OK because it didn't say that y is a prime. That's why you must pick y = -p.

>>12656701
You really think that problems should not be discussed just because they're already solved and probably written somewhere? Jesus Christ anon
>>12656710
You missed [math]y=-p[/math], and that's not how you *solve* such an equation.
>>12656732
>petty high school homework
that you surely have no idea how to solve lmao

>>12656772
How do I get the awareness about that stuff? I miss those small details all the time, you're a genius man.

>>12656787
>You really think that problems should not be discussed just because they're already solved and probably written somewhere? Jesus Christ anon
>Solve
>Shut the fuck up and answer my question
Are you stupid are just acting in bad faith?
Even assuming you are acting in good faith it's clear that he won't get anything even approximating a solution, so it's in the best interest of everyone if he fucks off and learns to read.

>>12656811
I already told you once and I'll say it again since apparently you didn't understand it the first time:

GET THE FUCK OUT OF MY THREAD, YOU UTTER RETARD.

>>12655672
based

>>12656794
Why thank, my friend. Back home, my HS teacher would whip us till we would bleed if we got our answers wrong. You think the back of Jesus looked bad on Good Friday? You should have seen mine when we went through Diophantine equations. Needless to say, I got them wrong on purpose.

>>12656811
>Shut the fuck up and answer my question
I didn't say that. >>12656820 this guy isn't me, he's trolling.
>so it's in the best interest of everyone if he fucks off and learns to read
I don't have a problem with reading, I'm just inviting people to think about my question with me. Also if you're pretty sure about a book having this solved, I'd look up if you cite one with the page. But you're probably just underestimating the question and thinking I'm a lazy high school student, so I expect nothing from you.

>>12656787
>that's not how you *solve* such an equation.
Brozius, I can recognize an elliptic curve.
I'm just not in the mood to do it properly.

>>12656844
>this guy
Did you just assume his gender?

>>12656845
Oh, ok.

Yeah this probably can be solved with them, I know how to determine the torsion part but I didn't get into the theory about the free part yet (so that's not what I want to see right now).
I'm wondering if there is a different solution, either elementary or maybe with some algebraic number theory.
On the elementary route we can get equations like [math]p = 2x_1^3 - x_2^3[/math] or [math]p=x_1^3-2x_2^3[/math] with [math]\text{gcd}(x_1,x_2)=1[/math], but then I don't see what else to do.

>>12656874
Or better, we can get [math]3 = u-v[/math] with [math](u, v) = \left(\frac{p-3}{2}, \frac{p+3}{2}\right) \in \{ (2x_1^3, x_2^3), (x_1^3, 2x_2^3)\}[/math], [math]\text{gcd}(x_1,x_2)=1[/math].

>>12656844
Silverman
The Arithmetic of Elliptic Curves
Chapter 10, section 6

Math

Here

https://youtu.be/TDMwjT4e3XM

>>12656913
Literal aime level shit btw

>>12656862
Rent free, jigger.

>>12656874
>solved with them
You aren't getting it. It's not "solving the problem with elliptic curves". The equation you've posted is literally an elliptic curve. There's a bunch of results on their rational points which you can fling at the problem.

>>12656913
also see 9.7 for your specific problem

>>12656378
Yeah, a CS monkey made it.

>>12656467
It says vixra in the file name

>>12656370
Not him but I would like to rephrase: Describe a continuous one (or more) parameter family of functions which O maps surjectively onto the complexity classes.

>>12656977
And also: Can we give the complexity classes an interesting topology?

>>12656977
Fairly sure that's impossible.
Assume we have such a family [math]f(x, \theta )[/math] (where [math]\theta[/math] is the parameter controlling the O class and [math]x[/math] is just the function's argument.) We can deform the family so that [math]f(x, \theta) \geq f(x, \theta')[/math] when [math]\theta \geq \theta'[/math] for any [math]x[/math].
Construct [math]g(x) = f(x, x)[/math]. Grows faster than any [math]f(-, \theta)[/math].

>>12657004
that is a very neat diagonalization argument. But this makes me feel like [math] \mathbb{R} [/math] is just not the right space to parametrize the complexity classes over. If the cardinality was larger, then this diagonal function wouldn't work as a counterexample anymore. So maybe they could be parametrized over the very long line or something.

>>12657042
What the fuck is actually the cardinality of the complexity classes? Is it larger than continuum? If they form a well ordered set of caridinality [math] 2^{\mathbb{N}} [/math] and with the order being "isomorphic" to [math] \mathbb{R} [/math], then using your argument one should be able to diagonalize and get a contradiction. Now I don't know if any well-ordering of a specific cardinality is isomorphic to any other one, but if that's the case then shouldn't they have cardinality bigger than R?

>>12657074
>Is it larger than continuum?
Probably.

>>12657074
>>12657094
Actually, my bad, it shouldn't be.
You can make a function [math]\mathbb{Z} \rightarrow \mathbb{Z}[/math] with any complexity class (obviously) and there's an aleph-1 number of them. Connect them linearly and you're golden.

>>12656926
I know, silly. I meant to say "with their theory".

>>12656918
Aime? Is this french?

>>12656913
>>12656928
Section 6 of chapter X is about the curve [math]Y^2=X^3+DX[/math], so it's not isomorphic to my elliptic curve. There is an exercise in this chapter that shows how to determine the torsion part of the mordell-weil group, but as I said I have already done this bit.
Pic related is what I've found in chapter IX, maybe your edition is different? Closest that I've found is 9.3, it's about the asymptotics and finiteness of the solution set.
As I said in the other comment, I was wondering about a solution without the use of the theory of elliptic curves. But idk, the only thing that gave me some hope is that we can easily factor the difference of squares. Thanks for the reply anyway.

>>12657102
Okay this makes sense, but then what is the total order (not well-ordered, am retard) isomorphic to if not [math] \mathbb{R} [/math]?
If it was indeed isomorphic to [math] \mathbb{R} [/math], then we could use that to parametrize them along [math] \mathbb{R} [/math] and diagonalize as you described.

>>12657134
>Okay this makes sense, but then what is the total order (not well-ordered, am retard) isomorphic to if not R?
Probably something like [math]\mathbb{R}^2[/math] with the topology induced by the lexicographical order.

>>12645358
>bragging
>on an anonymous didgeridoo polishing forum
>to a sea of bots
>about your math skillz

Shine on you crazy diamond

>>12656493
lots of nontrivial solutions for instance (x, y) =
3 14
6 15
6 55
8 129
12 43
12 433
18 731
20 141
24 155
30 179
30 277
probably no chance to find a general parametrisation
a reasonable problem would be: try to find an infinite family of solutions

>>12657134
to begin with, it's not a partial order

>>12656957
Oops! I didn't notice that.

>>12657257
>to begin with, it's not a partial order
Explain yourself, retard.

>>12657290
Only if you ask nicely, you fucking animal.

>>12657297
No, retard, fuck off out of my thread with your nonsense.

>>12657302
What you gonna do? What you gonna do, huh?

>>12657156
pretty sure you can diagonalize

>>12657290
Write down all the definitions, and then a proof that every two elements are comparable, retard.

>>12657257
Explain yourself, sensei

>>12657308
I'm gonna look down on you and imagine you cringing when you realize your incorrectness.
Like, it's obviously a partial order.
Reflexivity is trivial.
See https://cs.stackexchange.com/questions/87989/prove-that-big-o-is-transitive-by-relation-what-does-it-mean-by-by-relation for transitivity.
Antisymmetry is tautologically true because anon is talking about orders of growth, and not functions.
>>12657324
...that's for total orders, not partial orders.
See https://mathworld.wolfram.com/PartialOrder.html

>>12657324
You do realise that the "partial" in partial order means that all elements need not be comparable? Otherwise every ordered set would either be pre or total.

Is it possible to learn Ring Theory in 10 days? Please, I really need to know this. If it isn't then I'll just accept that I'll fail this shitty subject.

>>12657333
>>12657390
my bad, i meant to say "it is not a total order" to that poster >>12657134

>>12657398
What level are you talking about?

>>12657412
Forgiven and virtually hugged.

>>12657398
Undergrad course in ring theory? Yeah, very possible.
Study well at least 8h a day and you should get an A. Good luck managing that and the stress though

>>12657412
That's one shitty ass apology.
Repeat with me:
"ANON-SAMA I KNEEL! PLEASE FORGIVE ME FOR BEING A DYSLEXIC TWAT AND INSULTING YOUR GREATNESS."

>>12657427
>What level are you talking about?
Undegrad. The topics are:
>Definitions and Examples
>Polynomial Rings
>Euclidean Domains
>Ring Homomorphisms
>Unique Factorization Domain
>Polynomials

>>12657432
>Study well at least 8h a day
I can't do that because I also have to study other subjects.

>>12657433
yes i will offer my boypussy to you as an apology please turn my mouth into your toilet anon-sama UwU

>>12657462
Yes, that is possible. You do know your group theory, right? If so, then you shouldn't have too much trouble with the basic concepts like subrings, ideals, quotient rings, homomorphisms and such. Notice that you have Euclidean and unique factorisation DOMAINS, and therefore they will be generalisations of the integers. This should give you some intuition, like for example the idea of a UFD is that you can take any integer and write it as a unique product of primes and maybe a -1. The polynomials may seem a bit odd at first as you will be familiar with real or complex coefficients, but you will just have to remember how to multiply the unknowns and how to multiply the coefficients. You can do it, at least if everything is commutative!

>>12657476
You're forgiven.

>>12657631

>>12657631

>>12657631