/sci/ - Science & Math

First for axiomatic rocks

How come the US have 13 fucking fields medals? They're fucking dumb.

How come Germany, the land of the greatest mathematicians ever, have only 2?

How come Japan, the most intelligent people on earth in modern times have only 2 as well?

How come third world shitholes like Brazil, Vietnam, South Africa and Iran have fields medals?

That's why the Fields Medal is a joke and will never be in the same league as the Nobel.

>>11419925
That image looks like the kind of thing my nan would have as a desktop background in the late 80s/early 90s. Thanks for the throwback, boomer.

>>11419943
>>11419943
Mathematics is (relatively) cheap. All you need is paper, pen and a thrash can (one of my lecturers joked that the difference between mathematician and philosopher is that the latter doesn't use thrash can). No wonder it develops in countries that can't afford LHC.

>>11419943
I identify as the Stone–Čech compactification
of the gender spectrum.

ugg identify rock

Name a more important invention in the field of mathematics than the Cartesian coordinate system.

>Mathematics
>Literature
>Classical Music
>Philosophy
>Vegetarian food, water and sleep

Is there anything else that a man needs in this world? I think not, those are the only essential needs for a gentleman.

>>11420001
numbers

>>11420001
Mathematics itself.

>Vegetarian food

>>11420026
>He can't live without killing animals for comsuption
Aren't you the weak one here? I've been training my mind for years, rejecting the pleasures of the flesh, but I'm a onions boy, right? And you're an alpha male? You? A completely degenerate who can't even control a single impulsive desire? Yeah, right.

>Aren't you the weak one here? I've been training my mind for years, rejecting the pleasures of the flesh, but I'm a onions boy, right? And you're an alpha male? You? A completely degenerate who can't even control a single impulsive desire? Yeah, right.

>le epic troll
>basedboy trolling hurr hihihi

>>11420001
Calculus.

>>11420026
>>11420038
jesus christ the way you guys post here EVERY fucking day virtue signalling is pathetic. You try to give off the impression of being alpha male but you're trying way too hard to succeed.

Nobody here is going to be super alpha male and while most people recognize that's a good thing cause they come off as cringy try hards, you actually want this, try so hard to accomplish it, but fall short every time. What's saddest is you do this on the /sci/ board of 4chan. That is to say, the board filled with the nerds, on a weeaboo basket weaving forum but you still come off as cringy try hard failure. You chose to be the biggest fish in the smallest pond you could find but just come off as retarded mouthbreather.

Please, just stop embarrassing yourself already with these posts. It's getting to the point where it's painful to watch you posts these every day.

>>11420001
Formal logic.

>>11420079
Didn't read lol

Next time keep it math related, fag

>>11419943
What does G^M mean in this context?

>>11419943
> [math] \mathbb{Z} /_{2 \mathbb{Z}} [/math]
This is why no one takes trannies seriously, you fucking animals. Write [math]\mathbb{Z}_2[/math] like a normal person, or at least [math]\mathbb{Z} / 2 \mathbb{Z}[/math].
>>11420099
Probably maps from M to G.

>>11420106
>Transphobia
Oh nonono, this shit is not condoned here, friend, we do not stand for racism, transphobia, homophobia, facism, bigotry and other forms of opression, it's completely against everything math and science stands for. Please go back to pol.

https://www.strawpoll.me/19451173

Why does a "physics general" just not work? What' wrong with physics?

>>11420133
The whole board is already physics board, it's only mathematicians who like the be special snowflakes and create their own general for no purpose whatsoever

>>11420133
>To research Math, you need paper, pencils, and people who will tell you you're wrong
>To research Physics, you need either a Superpower or Coalition of nations that come together to fiance giant facilities, each of which possess a cap of the number of people that can use the facility at any one time, assuming a research proposal is accepted

>>11420128
BIGOT PRIDE
[math]\mathcal{WORLDWIDE}[/math]
>>11420133
The math general hasn't really worked lately either.
>>11420134
>the whole board is already garbage. It's only mathematicians who like to be special snowflakes and create reverse containment threads and improve discussion.

>>11420143
How does that relate to my question?

>>11420143
That's particle physics and experimental physics you bloody idiot. For theoretical physics you only need a paper, a pencil, knowledge in several parts of mathematics and knowledge on several parts of physics. So physics are upgraded mathematicians or mathematicians are a poor man's physics.

>>11420134
I don't know anon. I visit /sci/ mostly for physics and math. There's some good math discusson, but for physics it's awful

>>11420145
>The math general hasn't really worked lately either.
How so?

>>11420128
[math]\mathbb{OH} \ \mathbb{NO} \ \mathbb{NO}\ \mathbb{NO}[/math]

Post math movies

>>11420218
Some SERIOUSLY underrated mathematicians in this film

>>11420252
>blacked
kekw

>>11420218
Some math movies I liked were Pi: Faith in Chaos and A Beautiful Mind

>>11419925
Still looking for a source on the formula given for this sequence: https://oeis.org/A060461

If anyone could help me find one I would be very grateful.

>>11420001
category theory

>>11420553
[math] \R [/math]

>>11420001
Flat modules

Is it true that smoking cigarettes improve your concentration and logical intelligence?

>>11420623
Yes.

>>11420218
The Imitation Game was really really good. Less of a math movie and more of a computing one, but it's just a wonderful story.

>Differential geometry

>>11420143
false, all you need for physics is a computer that can run COMSOL or some shit, and people who will tell you you're wrong.
>>11420149
physics is mathematics plus wild speculation
>>11420623
It reduces anxiety, partly due to tobacco but mostly since you're cucking yourself into a nicotine addiction. Roll your own cigs if you can, or vape if you're a redditor

>>11420659
>It reduces anxiety
Great, that's what I need, should I smoke one per day or is it too little to make any effect?

>>11420652
>Why yes, I study metric spaces with non-positive curvature, what gave it away?

>>11420666
Digits don't lie.

>>11420659
>plus wild speculation
That's what makes it interesting, it explains nature, while mathematics explains only the abstract. Physicists need to know mathematics but they also need to know literature, philosophy, experimentation, formulate theories and creativity above all. It's the ultimate STEM field.

>>11420665
It's not a long-term effect. You'll just get in a good mathy mindset during your brief nicotine buzz. Not adderall-level but definitely something, although probably not good enough to outweigh the downsides of smoking -- and if you make yourself psychologically dependent on nicotine to be a good scientist, quitting is going to be that much harder

Am I retarded? Professor has pic related in his slides, w and x_i are vectors of the same length. Is this true?

>>11420671
Whelp, that's my new field now.
Sayonara complex manifolds.
>>11420699
Kill yourself.

>>11420694
>downsides of smoking
Is there anything even proved that smoking has terrible downsides, sure it might be bad for your lungs depending on your genetics but there's no correlation between dangerous diseases like cancer and smoking.

>>11420710
>but there's no correlation between dangerous diseases like cancer and smoking
Says who

>>11420032
Uhhhh hello, based department

>>11420720
The Tobacco companies.

>>11420726
Oh sweet, they are the experts. Looks like ciggies are back on the menu

>>11420699
false in general; consider [math]w=(1,0)[/math] and [math]x_i=(0,1)[/math]

>>11420699
it is, [math] (w^\top x_i) x_i = x_i (x_i^\top w) [/math]
it's a rank one operator

>>11420128
I'm not transphobic simply for the fact that it is not conducive to research.
>>11420133
This general isn't any better hun.

>>11420623
>Fucking lead filled radioactive cancer sticks make me smarter
>Snorting drywall works as an immediate nootropic

Is there a series that is Abel summable but not Cesaro summable?

>>11420099
Exactly what it says: G is a set, and M is a semigroup action on it, except M has an identity as well as associativity.

>>11420099
Treat [math]G[/math] as a [math]M[/math]-module and it means the space of coinvariants.

Am I just a brainlet or is Emily Riehl's Category Theory in Context horribly written, especially for those unfamiliar with category theory?
I don't see why everyone recommends it

>>11420003
a job

>>11420003
Someone who cleans your room and clothes?

>>11420001
Modus Ponens

I need help, some faggot has been pinging my IP, his IP is 127.0.0.1, I've been flooding him but it isn't enough. Help me, please!

>>11421148
Bro I don't even know what those terms mean, maybe you should be asking for help on g?

How do into Ito Calculus?

>>11420652
WHY IS CHAD DOING THE JOKER DANCE
THIS ISN'T ALLOWED ONLY INCELS ALLOWED TO DO JOKER
CULTURAL APPROPRIATION

>>11420003
Pussy
Exercise

>>11420640
Nice bait

>>11421267
Find competent lecturer.

>>11420965
>Is there a series that is Abel summable but not Cesaro summable?
Yes, Abel summation is stronger (and consistent with Cesaro) https://math.stackexchange.com/questions/2744307/an-example-of-a-series-that-is-abel-summable-but-not-cesàro-summable.

>>11421407
in my opinion, 95% of all mathematics lectures are useless past the geometry stage

>>11420218
A Beautiful Mind was nice, Pi was a bit out there, not really mathematical. Proof was also okay.
I don't think I have ever seen an accurate movie about mathematicians, but I guess it would make for a pretty boring movie.

>>11420640
Imitation game was LGBT propaganda
>>11421497
A beautiful mind was terrible, Proof was pure fantasy pseudo math bullshit, like the girl doesn't even have a mathematical education but she managed to prove something big and use high level demonstration skills that even mathematicians at the time didn't understand? yeah right

>>11421473
Lectures in a utopistic world are for questions and intuition. In reality, at least in my uni, they seem to be only 50 minutes which are not sufficient for anything. In any case, if a student thinks they are supposed to simply get everything they need from lectures, then let such a person kys themself.

Friends, I'm legitimately trying to be become the strongest STEM professor in the world.
Let's take powerlifting as a measure of strength.
Do you have suggestions of some ones who could be serious opponents?

>>11421722
Really Math lectures should be broken down to groups of between 3 to 5 people who get 30 min x 3 times a week to essentially talk with the professor(who would also mediate so that one student doesn't eat up the entire session), ask questions about the material, parts of the text you don't understand ect.

Unfortunately this would be untenable at the undergraduate level due to the sheer volume of students. Depending on the institution/dedication of the professor/number of grad students, you could possibly pull this off in a tier 1 or ivy league approx gradschool simply due to sheet quality, however at that level, graduate student don't really NEED lectures, this a dude to point them in the direction they need to go.

Also as time increases, Homework as a metric of progress will become less and less accurate of a tool due to the following algorithm:
Need to prove theorm -> google
If google finds -> Copy and change variables
if google dose not find-> try chegg
If chegg finds -> Copy and change variables
if chegg dose not find -> ask someone else how they solved it

>>11421736
Machine learning will take care of that also.

The mankind has created enough knowledge for any problem. It just needs to be effectively findable.

>>11420128
I'm not afraid of Trans people. I feel disgusted by your presence and recognize you as nothing more than a top-down implemented demoralization effort aimed at anyone with any sense. I have compassion that you bought into one of the most deadly memes of the 21st century but I'm not interested in pretending that we should just excuse the damages done to society by acceptance of your nonsense just to make you feel better about your self-harm decisions.

>>11421753
Machine learning will also make more or less everyone even more useless than they already are. These AI fantasies are what happens when you forget that technological and scientific progress is supposed to be contained within a coherent society rather than some sort of transcendental religious pursuit human survival be damned.

>>11421676
>LGBT propaganda
I can't help you, moron.

>>11421780
One of the professors in the math department at the school I attend, who earned a PHD at a top university, came out as trans a few years ago. The prof is fucking 65.

>>11421784
I would be happy if there was a ML program that basically chugged out theorem in subject I'm studying, evaluated my response, and adjusted the next question accordingly

>>11421800
Fantastic, and I'd be happy if I never had to interact with incredibly lazy people like you but that's not happening either. Do you really think you're going to be capable of solving the problems ML can't if you don't even put in the work to try and do the basics of what ML would be implemented for? This might seem like a boomer post but this lack of discipline and interest in the actual conceptual work behind a lot of these fields (which only comes with time and effort applied to handling computations and proofs) is one of the main reasons so many stem graduates are still stuck in internships for 2-4 years after graduation. You come out of colleges with no intuition to what you're doing and no ability to actually interact with the material beyond guidred and computer assisted computations and then are expected to contribute to real world research when you can't do your own proofs for undergraduate work.

>>11421797
I hope the professor gets the mental health care he needs and a much deserved rest from the field. How on Earth are you expected to teach anything when your interactions with reality are so skewed by this nonsense?

>>11419943
Yeah but France has the most fields medals and France is the land of the greatest mathematitians ever.
Bow to cauchy, son.

>>11421822
>Bow to Poincare
ftfy

>>11421819
I'll (try) to answer in good faith. The original goal of my statement was aimed at self study, and I admit, that's on me for not making that obvious. The reason I would like such a process is simply to take out the uncertainty of some proof I've made. Right now, the best thing I can do is simply work a problem in a problem set, next if there is a solution manual or find a solution online, compare and contrast with the proof given, self grade (given human bias, incredibly unreliable), and either move on to the next problem on the set or try and dig deeper as to why my proof failed. And then there are the proofs I've produced that are so disconnected to the proofs provided that I have to make a judgement call simply given how disparate 2 different, but correct proofs can be. And that's ignoring material that simply does not have any kind of solution guide. At that point, I can't really self evaluate, so if I have an issue with a definition or a misunderstanding about a theorem, it might never be cleared up.

>>11420001
The notion of the derivate is far more important and far less trivial

>>11420003
>Vegetarian food
Jesus Christ, you do know you need meat in order to maintain proper brain function right?

What graduate classes might require Measure Theory (Analysis III for Germans)?

I had it in undergrad but I passed with the minimum grade and never looked back at it. I have a very vague idea of the concepts and no real motivation nor time of revising it.
I looked at my plan of classes and it seems most only mention it casually, like defining a measure for a theorem to work but then not really doing much with it.

Can I realistically avoid this subject for the rest of my life?

>>11419925
Dont know if exactly correct thread but ill ask anyways.
What do I need to know before starting to study tensors? Im just a simpleton EE so my current math knowledge caps at vector calc and complex variable calc.

>>11421869
https://arxiv.org/abs/math/0403252

>>11421854
>Can I realistically avoid this subject for the rest of my life?
Not 100% avoid ever seeing it. Like you pointed out, it's casually used pretty much everywhere nowadays.
But if you're willing to never take any class with the word "analysis" or "probability" in the title ever again, and your work doesn't require you to understand that stuff, and your PhD program doesn't have any quals (does Europe do qualifying exams? your examiners will expect you to be able to answer analysis questions, even if you have nothing to do with analysis) you may be able to scrape by with a rough grasp of the basic definitions. Most of the times that measure theory shows up in broader math, it's just a technical tool you can safely treat as a black box if you really need to.

>Lebesgue measure

>>11420106
>Write it in a way that will invariably get it mixed up with the 2-adic integers, that'll work great

>>11421780
I don't feel any anger that the fact that you feel disgusted at the sight of trans people, it's completely normal if you've never lived together with them, especially if you've come from a religious family. But college is there to change those views, if you're already in college and are still 'disgusted' then you are a bigot and a complete idiot.

>>11421786
It is though, the author of the book is a vocal supporter of LGBT rights

>>11421907
This but unironically.

>>11421902
>using p-adics ever
begone filthy number theorist

>>11421873
This works, thank bro.

>>11421853
You do know supplements exist right?

>>11420659
>COMSOL
Cool, it must be some sort of open source or very low cost option fo-
>The base COMSOL license cost $4000

>>11421887
I'm taking Time Series Analysis, Functional Analysis and Spectral Theory and Inverse Problems.
I looked through the lecture notes and it seems they don't really require and measure theory besides stating such and such is a measure.

>>11421976
you may encounter some issues in functional analysis. the other two are probably fine

>>11421846
Perhaps my response was a bit harsh. For self learning I agree with you that ML could potentially be a very helpful tool. However I think the overall cost of this will be a serious degradation in quality for students coming out of stem majors (which already has shown to be significantly below previous generational standards from even very high quality schools). Sorry for being a dick. This is a subject that very seriously impacts my field (control systems design) and invariably the people who want to rely on ML and neural networking to solve control/regulation problems are the kinds of people who have refused to put the work in to be able to design even very basic second or third order control systems.

>>11421726
>I'm legitimately trying to be become the strongest STEM professor in the world.
you got it tough bud

>>11421990
Holy based.

>>11421964
If you're poor what the fuck are you doing in STEM? You should have chosen philosophy or some shit like that

>>11421907
I've seen and had fairly close relationships with people who have become trans. The proportion of people who are trans and not very seriously psychologically ill in other ways beyond gender dysphoria is next to none. I wish those people sympathy in their journey through life but I'm not interested in rewriting the fundamentals of reality to conform to their comfort (which is exactly what is occurring on so many college campuses with Biology departments intentionally muddying primary and secondary sex characteristics is a means of creating nihilism surrounding human sexual dimorphism). If you're trans and interested in scientific fields, you should genuinely consider the question of what you (as someone who is so uncomfortable with the reality you live within to require the state to impose utter nonsense on people) could contribute to the field you exist within. If you cannot accept reality, you have no basis from which to try and understand new phenomena or impose your will upon it via scientific or technological innovation.

>>11421976
>functional analysis, spectral theory and inverse problems simultaneously
Seriously?

>>11422005
Prove me wrong: Math is philosophy with numbers.

Quick rundown on Touhoufag?

>>11421726
If you fight one whit below your abilities, I will bend like a reed in the wind.

>>11421964
Anything that can be paid by universities through grant money is going to be prohibitively expensive -- same goes for research-level monographs. I know a guy who pirated it for home use and has published some stuff along with his advisor.

>>11422031
which one? avatarfagging apparently stopped being a bannable offense years ago so there's like half a dozen of them

>>11422045
The Yukari one.

>>11419999
Are we just going to let these quads go unchecked?

>>11421989
>Perhaps my response was a bit harsh. For self learning I agree with you that ML could potentially be a very helpful tool. However I think the overall cost of this will be a serious degradation in quality for students coming out of stem majors (which already has shown to be significantly below previous generational standards from even very high quality schools).
I understand. I am probably one of those students to be honest. The college I came from had a poor linear algebra course [geared towards the applied field, if I recall, all we did was RREF, Matrices, elementary analysis of matrices (determinates, constructing the null space) and eigan stuff, at no point did we talk about linear maps as a thing unto themselves, inner product spaces, operators, or even proving shit] so I'm in the process of reteaching myself this field correctly this time.

>Sorry for being a dick.
Its okay, I understand, I worked at a community college as an mathematics adviser and a huge chunk of students that asked for help doing mathematics below Calculus make me extremely angry because a lot of it is sitting down and just doing the homework. But then they go out and get drunk on a Thursday night and throw up on my desk Friday morning when they want to drop remedial mathematics because someone on the bureaucratic chain decided that having basic math competency was no longer a necessary requirement to get a high school diploma. No exactly control systems but the same kind of incompetence is there

>>11422009
What's the matter, tohoufag? Too hard for your average IQ?

>>11422048
Yukari poster is an EE with extensive knowledge on mathematics.

>>11422075
>Engineer
>Extensive knowledge on mathematics
Pick one.

>>11422055
dubs of late but well-deserved checking

>>11422079

>>11419925
Daily reminder that by studying mathematics you are contributing to the industrial system, which is nothing short of criminal.

>>11422072
No, inverse problems just requires quite a bit of functional analysis, so it's weird to take them simultaneously.

>>11422183
What makes you think anyone on /sci/ will ever contribute anything to mathematics?

What's Rumiafag's background?

>>11422227
>He doesn't know
https://www.theverge.com/2018/10/24/18019464/4chan-anon-anime-haruhi-math-mystery

>>11422250
Rumiafags hunts down the bodies of dead mathematicians and eats their bones to obtain greater knowledge.

Prove that 0^1 = 1

>>11422380
But it doesn't.

>>11422392
prove it

>>11422397
∀x, 0^x = 0 or undefined.

>>11422183
daily reminder that Ted was a dumbass terrorist schizo who did nothing for his "cause", killing innocent workers because he didn't have the balls to attack anyone of actual importance for "industrial society". his book reads like a typical rambling on /pol/ and countless philosophers and social scientists have written more thought out texts regarding the same topics

>>11422435
>his book reads like a typical rambling on /pol/
Is this supposed to be a bad thing?

How's it going.

I'm having some issues at work at the moment. It concerns averaging Lie groups elements. Think rigid body poses in world space, [math] G = { \mathbb R } \times { SO(3) } [/math]. But think of it first in general terms.

Let [math] g_0, g_1 \in G [/math], what are natural candidates for interpolation? For the sake of it, consider the exact middle between them.
The first one that works is taking both elements to the (linear) algebra space via
[math] g \mapsto \log(g) [/math]
and average them there. I.e.
[math] g_{1/2}^\text{mean} \mapsto \exp( \tfrac{1}{2} (\log(g_0)+\log(g_1) ) [/math].
However, what people e.g. in robotics to is an interpolation that is more akin to, I think, the geodesic. First consider [math] g_1 = g_0\cdot (g_0^{-1}\cdot g_1) = g_0 \cdot \Delta g [/math] and consider
[math] g_{1/2}^\text{propagate} \mapsto g_0\exp( \tfrac{1}{2} (\log(g_0^{-1} g_1) ) [/math].

I'm trying to grasp how they differ and what the former really is. E.g. for small Lie algebra elements, how for off is [math] g_{1/2}^\text{mean} [/math] from [math] g_{1/2}^\text{propagate} [/math] and in what way?
thx

>>11422495
not if you're fond of incoherent walls of text, but my first point stands still.

To be clean, both

[math] g_{ \alpha }^\text{mean} := \exp( (1-\alpha) (\log(g_0)+ \alpha \log(g_1) ) [/math]
and
[math] g_{ \alpha }^\text{propagate} := g_0\exp( \alpha (\log(g_0^{-1} g_1) ) [/math]

come across as natural candidates with

[math] g_{ 0}^\text{mean} := \exp( 1 (\log(g_0)+ 0\log(g_1) ) = g_0 [/math]
[math] g_{ 1 }^\text{mean} := \exp( 0 (\log(g_0)+ 1 \log(g_1) ) = g_1 [/math]

[math] g_{ 0}^\text{propagate} := g_0\exp( 0\cdot (\log(g_0^{-1} g_1) ) = g_0 [/math]
[math] g_{ 1 }^\text{propagate} := g_0\exp( 1\cdot (\log(g_0^{-1} g_1) ) = g_1 [/math]

>>11422751
>>11422770
We get your paycheck if we solve it for you, right?

>>11422780
donno, I can send you 50$ in BTC or ETH. Money is a meme.

The issue came up when trying to average 3 poses, e.g. consider having 3 guesses for how an rigid object is oriented in space. The former generalizes to
[math] (\g_0, g_1, \dots, g_{n-1}) \mapsto g^\text{mean} \epx(\sum_{k=0}^{n-1} \log(g_k) /n) [/math]
while it's not clear what the pendant is in the "propagation" case. To me anyway

There's an idea of considering cost functions to characterize them. E.g. in the linear (algebra space), you can consider normal norms
[math] \sum_k || \log(h^{-1}\cdot g_k) || [/math]
and this will give you _some_ notion of being away from h, but I suppose this isn't the only good cost and I'm not sure what interpolation it corresponds to.

>>11422435
>countless philosophers and social scientists have written more thought out texts regarding the same topics
Such as?

>>11422769
>Ted is incoherent
Brainlet detected

Did Math break Ted or did the Math community break Ted?

>>11420157
Oh nonono it's 32% now and rising, you idiot.

>>11422993
>I asked my friends to vote and now it's 30%

>>11423005
I am disappointed at you tohoubro, never thought someone intelligent as you would be a bigot

>>11422993
>you idiot

What branch of mathematics is the most dishonest?

>>11422751
On a compact Lie [math]G[/math], I'd suggest you use the left-invariant Haar measure [math]\overline{h} = \int_G_0 d\mu(g) h(g)[/math] or your average would change as you move around the group.
You can probably get something more non-trivial if you average over the maximal torus [math]T\subset G[/math] instead, which puts the average as a fibre integration [math]G\rightarrow G/T[/math] over the flag manifold [math]G/T[/math].

>>11423367
Of course I meant [math]\overline{h} = \int_{G_0}d\mu(g)g^{-1}hg[/math]

>>11423111
Anything past Cantor's diagonal argument.

>>11423367
[math]G\rightarrow G/T[/math]

Is that Quocient Projection? I was wondering when I'd need this shit, looks like it's used a lot in higher level maths

Convince me that there's a difference between Lebesgue and Jordan measures.

>>11423394
>Read a book
>Search on a search engine
>Ask on a slow general inside a slow board inside an obscure imageboard
Hum, I wonder which one is the best option

>>11423408
>I wonder which one is the best option
The latter.

>>11423394
The irrationals in [0, 1] have 0 jordan inner measure and 1 Lebesgue measure.

>>11423417
what about Meme measure?

>>11421854
You will consistently need measure theory in any class about functional analysis, probability theory, dynamical systems or ergodic theory, operator algebras, spectral theory, etc.
If you want to do differential topology you'll encounter measure theory via Sard's theorem but only in relatively painless contexts.
If you like algebra, combinatorics, number theory, or logic you'll probably do okay.

>>11421909
Who gives a single fucking shit you utter hack? Turing was GAY. Who cares?
For christ's sake. Go back.

>>11421976
Are you fucking around? Those classes deeply depend on measure theory. What the fuck is this functional analysis you're taking? The entire POINT of the class is equating linear functionals and measures.

>>11422079
Im an EE that has taken a shit ton of pure and applied math classes.
I don't have good knowledge of mathematics according to you?

>>11423383
>when I'd need this
In general or in this context? In general maximal torii are "nice" in the sense that, for [math]G[/math]-equivariant elliptic operators [math]P[/math] on V-bundles, Atiyah's distributional [math]G[/math]-index [math]\operatorname{ind}P\in \mathcal{D}'(G)[/math] can be computed from its value on [math]T[/math] by [math]\operatorname{ind}_T(P\otimes\partial)\in\mathcal{D}'(T)[/math], which preserves the tangent/normal structures because [math]G/T[/math] has the structure of a flag manifold; see Kawasaki's paper on this. This is much easier to compute since [math]T[/math] is compact and Abelian.
In your context? Probably not. But integration over the Haar measure is the canonical/"correct" way to add things up in the group in an invariant way. Descent to the Lie algebra is not an isomorphism.

>>11423442
Nothing wrong in being gay, but there's plenty of problematic shit in supporting the degradation of western culture, biology and religious values that happens when one promotes LGBTQ+ stuff

>>11423447
no. you will always be a stupid cum guzzling faggot in my eyes until you have a phd in math(pure)

>>11423452
this. except there is something wrong with being gay. you are a mentally ill sodomite who wants to fuck/get fucked by other men in the ass. there is nothing ok about that.

>>11423554
Ramanujan also didn't have a phD, was he also a stupid cum guzzling faggot? Fermat didn't even have formal education in math. Galois didn't even pass college.

All of them are trash according to you. Hahaha

>>11423602
thank you for proving my point you stupid piece of shit. nothing angers me more than all you applied cretins larping as mathematicians because you did a tripple integral in vector calculus. just fuck off and shut up.

>>11423554
Yeah you will be a cum guzzling faggot in my eyes unless youre making 150k+ a year.
Protip: you never will.

>>11423644
So physicist, high level EEs doing signsl processing research and applied mathematitians are cretins according to you?
Dude you just want to feel special and superior, which you are not. Fuck off.

>>11423452
>religious values
>western culture
this is a math thread
i told you to go back
>>11423558
closet

>>11423655
>signal processing
>basic fourier analysis on fucking R and Z of all things
you know that's children's math right?

>>11423655
except the thing is sweetie, I am. I may never be a famous mathematician, but you will never understand the things I have learned throughout my phd unless you religiously devote your time to studying like a fucking monk. I seriously cringe deep down inside when I here any of you fags try to come to me at conferences with your machine learning garbage or signal processing bullshit. I dont give a fuck.

>>11423671
You dont know what signal processing is dude. Please dont talk all superior when you don't even know what you're talking about.

>>11423677
>You will never understand the things I've learned in my PhD unless you study like a monk
Do you mean exactly how you studied on your PhD?
Moreover thats a pretty retarded statement, how do you know I wouldn't? People just have different interests, and the same argument could be made for you, do you really think you could just quickly look at PhD level theoretical physics and understand it? You do realize mathematical physics is a whole field where some of the best and brightest are doing research right?

You just want to feel superior to others because you're an expert on a niche subject, granted, it takes exceptional dedication and quite a bit of talent to get a phd in pure math but the same goes for a myriad of other fields. Humble up and sit the fuck down.

>>11423677
I spent so much time on the internet that I can't even be persuaded by those well constructed baits anymore, they just seem too obvious now, I can simply spot them right on and this is not OK, this place consumes you.

Refreshing my memory of arithmetic and pre-algebra is a dreadfully boring experience, god help me get through it.

How could prove the diameter of an infinite subset of a pseudometric space is/isn't infinite?

>>11423817
Non-existent beings can't help you.

>>11423834
Find a set of infinite (resp. finite) diameter contained in (resp. containing) your set.

>>11421990
Who is this?

Also, Math Dr. Bob could be a challenge, yes.

Anyway, my personal best is 260/160/270 (in kg). I can also pull a 120 kg buff guy at armwrestling

>>11424054
Professor Leonard

>>11424056
Thanks.

Not bad. But it feels to me I can easily pull him at powerlifting, sum of 3.

I also have proofs of my lifts. Does he too?

>>11424060
>I also have proofs of my lifts. Does he too?
I'd say his physical stature speaks for itself.

>>11424086
No, dude, that's not how it's judged.

The most generic strength metric up to date is powerlifting, lifts by IPF rules.
I have all my lifts recorded.
Nevertheless, I look more massive that him, but, again, I didn't even want to mention it. Looks might be misleading

What are the basic pre-reqs for getting into measure theory?

>>11424100
Set theory, basics of topology and a grasp of calculus.

>>11424120
Thank you.

>>11424124
You are welcome.

>>11424150
Come stay with me.

Does anyone know of a resource (book, website, github, ...etc) with non-trivial (i.e. not introductory stuff) MATLAB code implementations of numerical methods like especially Runge-Kutta type methods?
I did these classes years ago and now to complete my masters I am thinking of doing a couple more advanced numerical classes but I cannot find my material from previous classes and do not want to start from scratch.

>>11420553
He said important not self-important. Big difference.

Guys I have a problem. I need a set with cardinality between the integers and the reals any help would be appreciated, but I would prefer a construction.

>>11424178

>>11424160
linear algebra by david lay 6th edition

>>11424153
I'd rather not.

Fucked up an exam really badly, and it was my favorite class too. I put a lot of work into it, but my preparation was not perfect. Two questions, I just wasn't prepared to deal with. Two others I should have been able to solve, but I just couldn't see the answer. One of them, I got stuck with the wrong approach for like an hour because it felt so right, but it was totally wrong, and I never managed to solve it. Another one was a dead simple problem, but the wording mislead me into thinking of another theorem and again I got stuck on the wrong approach like a complete retard.
Worst of all, I think I passed barely, so I am not allowed to retake it now.

>>11424219
What class?

>>11424229
Graph Theory

>>11424219
>I put a lot of work into it
Did you solve every problem and prove every theorem in the book unaided? Did you even attempt this? Failing that did you do the same with both a higher and lower level book covering similar material? Honestly for most undergraduate classes you probably would have seen the exact problem if you studied just 4 hours a day.

>It was my favorite class
Since employing the above method, I have never had a class be my favorite as I understand everything long before the teacher can generate whatever narrative is needed for the unenlightened to catch a glimpse, subtle proof mistakes and answering questions incorrectly, and very large mistakes boarding on complete misunderstanding of the material is things I have witnessed in class, things that I would have missed if I had not studied.
People wonder why hours spent studying is so low, but to me it is clear, that being in class when you know but the so called "Teacher" does not, is akin to torture.

>>11424208
It wasn't a request.

>>11423655
>signsl processing
I mean
>Signal processing
>Wiener filter

>>11424341
Beevis and Butthead is the epitome of cringe.

What's your favorite non-metrizable topological space?

>>11424380
Let [math]X\subset\mathbb{R}^{2}[/math] with polar coordinates [math]\{ (n,\theta) | n\in\omega , \theta\in \{ 0 \}\cup \{\frac{1}{n}\}_{n=1}^{\infty}\}[/math] and define a topology on [math]X[/math] by taking as basis all sets of the form [math]U\times V[/math] where [math]U[/math] is an open set in the right order topology on the non-negative integers and [math]V[/math] is open in [math]\{ 0 \}\cup \{\frac{1}{n}\}_{n=1}^{\infty}\subset \mathbb{R}[/math]. This is called the 'integer broom topology'.
>Properties
>"The integer broom space, together with the integer broom topology, is a compact topological space. It is a so-called Kolmogorov space, but it is neither a Fréchet space nor a Hausdorff space. The space is path connected, while neither locally connected nor arc connected."

>>11424380
I have always liked the Sierpinski space.

>>11424283
I take orders from no one (except my mom).

>>11423644
as a fellow pure mathematician let me tell you that your elitist and immature attitude is absolutely disgusting. children like you is the very reason why other STEM folks often laugh at pure mathematicians. fuck you.

>the reader is invited to draw the corresponding Venn diagram

>>11424427
general topology is the worst thing mathematics has ever invented

>>11424414
No, we laugh at you because you literally can't get a job

>n...n-nno you have to study muh superior field of math..uhhghghgggghghghgg
literal high schooler immature brat. if you're somehow in uni and you actually put other people down for not studying your autistic drivel then i'm afraid you're stunted developmentally. i'm saying this as a pure math major.

>>11424437
>being a slave to capitalism
>not majoring in something that you love
>laughing at anyone
If anything, we should be the ones laughing at you, but I can't do that considering how miserable your life will be.

>>11424431
Is there a good alternative though?

>>11424431
Why?

>>11424492
Sure... If you recreate math from scratch...

>>11424427
Euler* diagrammmmmm~

>>11424548
retard

Declaring that signal processing is trivial because you're only working with functions in R and C is exactly as morononic (and false) as declaring that number theory is trivial because you're only working with the naturals.

>>11423706
Tell me what your version of signal processing is so that I can laugh, then. It's at most elementary measure theory and functional analysis.

>>11424255
Well perhaps you should have taken it a bit easier then.

>>11424651
What's R and C? Perhaps you were trying to say [math] \mathbb{R} \ and \ \mathbb{C} [/math]

If you met somebody who knew no mathematics other than arithmetic, and they asked what area of mathematics they should learn, what's the most bang for your buck? Algebra? Calculus?

>>11424677
how do you expect them to do calculus without algebra?
you can't do calculus without knowing what a variable is.

>>11424651
That's not why it's trivial. The reason it is trivial over R or C is because Fourier is very well understood over such domains. People have moved on. Pretty much anything you could want comes pretty painlessly.
Try real harmonic analysis.

>>11424680
Assuming they pick up the minimum necessary background knowledge to understand the area. Basically, what's more useful for normies: statistics & probability or analysis or what?

>>11424687
normies don't need math beyond arithmetic

>>11424688
Statistics is massively useless. In fact I would scientific literacy is 50% just understanding statistics.

>>11424677
Category Theory

>very high level majors
Mathematics
Physics
Philosophy (Analytical)
Music (Classical)
>high level majors
Medicine
Engineering
Chemistry
Biology
Applied Mathematics
>mid tier majors
Computer Science
Arts
Law
Languages
Political sciences
>low tier majors
The rest

if you're calling engineering trivial you might as well call physics trivial too. the math that describes them might be 'easy' but there is much more dimension to those fields than just running equations down.

>>11424706
>Philosophy as high level
>CS as mid-tier
>anime pic
you neets really are delusional

>>11424715
so are you it seems. philosophy goes hand in hand with mathematics.

>>11424724
Exactly, those people don't even know what Analytical Philosophy is. Continental Philosophy is the one that is trash.

>>11424685
Do you realize how much you sound like a fucking mouthbreather?

>Top tier unis throughout the world doing groundbreaking signal processing research
>"Heh, you see, i studied Rudins functional analysis so im so much better than those dudes"

>>11424724
cs is literally a subfield of mathematics. is your list based on how much mental masturbation is required?

>>11424706
Why do math majors, on average, have better reasoning and problem solving skills than engineers and betting coding skills than CS majors?

>>11424783
>is your list based on how much mental masturbation is required?

>>11424786
For the engineering part it should be obvious. On the CS part it's because programming is just logic and mathematicians have a better understanding of logic

>>11424786
because the problems that are solved in math require a different kind of thinking than that of engineering problems and it just so happens that some of the thought patterns carry over well.

>am shit at anything integer related (divisibility, gcd, etc.)
>most intro group theory is covered in this shit
bros i need to suck it up and get better. is there any books that treat this material good (i.e. palatable for a baby like me)?

>>11424668
Or maybe [math]\frac{ \mathbb{R} \text{ and}}{ \math{or } \mathbb{C}}[/math].

>>11424888
Andrews number theory

>>11424437
literally total nonsense

>>11424668
Or perhaps [math]\frac{ \mathbb{R} \text{ and}}{ \text{or } \mathbb{C}}[/math].

>>11424786
>and betting coding skills than CS majors?
math and statistics fags can't code for shit. which is not to say that most cs majors can but they at least understand how to organize programs

>>11424904
I think he meant [math] \mathbb{R} \wedge \vee ~ \mathbb{C}[/math]

>>11424943
Well played.

Post math anime/manga

How do i selflearn mathematics?

>>11425134
That depends on which kind of mathematics you want to learn. Is it high school level? Also, how old are you?

>Pseudo-Riemannian manifolds

>>11420133
Maths has fewer crackpots.

>>11420659
>physics is mathematics plus wild speculation
And experiments that support or disprove that speculation. That's why physicists are always ahead of the curve.

>>11425181
I'm 21 and i have done first year high school math.

>>11425286
has anything with the word "pseudo-" or "quasi-" in front of it ever actually needed to exist and not just be wank for the sake of wank?

>>11424943
No, I meant [math]\mathbb{R} \setminus \mathbb{C}[/math]

>>11425358
https://en.wikipedia.org/wiki/Pseudometric_space

>>11425345
>starting at 21
Damn, I'm very sorry, it's pretty hard to say this because I feel I might crush your dreams somehow but I also believe that telling the truth no matter what is the most important thing, so I'll just tell you...

You're not gonna make it unfortunately...

>>11425418
shut the fuck up you idiot. it's never too late for someone to start learning something. 21 is nothing anyways, jesus christ.

>>11425358
>literally replying to the greatest example and the foundation of General Relativity
Even if you'll reply that it's appliedshit, it's still not wank for the sake of wank.

>>11425431
I'm not saying this because I want to or because it makes me happy, on the contrary, it pains me to say that because I've also been in that position, I've experienced harsh things in the academy and no one was there to give me the truth beforehand, all they did was delude me into thinking I could make it even if I started at 21. I tried, I did try but I failed, where am I now? I'm living in a 5m room in my aunt's apartment jobless and without friends or anything in this world, I spent 4 years of my life studying mathematics because you stupid cunts gave me false hopes that I could be something in this world, I COULDN'T BE ANYTHING YOU PIECE OF SHIT.

I'm telling him this because I truly don't wish this same life for any other people. These days there are more and more prodigies starting college at 14, even 12. The normal time to start is 18 or 19, after that things will be extremely difficult, at 21 you might even say it's impossible. Please, stop fantasizing this world, life is not as beautiful and perfect as you think it is, it's very dark and cruel, when you finish your degree you'll be 25, what then? You think anyone will hire you? You think anyone you accept you for a PhD. I did think that and here I am.

>>11425455
not reading this. just assuming your some retard doomer who wants everyone to be as miserable as yourself.

>>11425455
have you considered the possibility that maybe you're a failure not because it was impossible for you to succeed, but because you're a pathetic whiny loser?

>>11425487
posts anime to boot. hand in hand.

>>11425487
And what makes me a pathetic loser? That's easy, it's the fact that I started late, it's also the fact that I wasn't blessed with great genetics. And this is also true for 90% of the population. Especially for us pure mathematicians, nowadays it's becoming harder and more competitive to get into de academy, the competition is too good, they don't want those pathetic losers who start at 21 anymore, they want the prodigies or the talented that started early, there's no place for us in this world anymore, I wish people would have told me that sooner, maybe I would have a job by now if I majored in engineering or something like that.

>>11425510
>And what makes me a pathetic loser?
the fact that you post unprompted wall-of-text self-pitying blogs on 4chan accompanied by le sad amine gril is a pretty big red flag

>>11425455
>>11425418
I said selflearn, i have no intention of going to university or getting a job. I just want something to fill my endless amount of spare time.

>>11425418
Youre a retard and a douchebag.
When I took my first analysis class there was this 50+ yo married with kids dude that had a business degree that was taking the class with me.
He was taking analysis because he became interested in learning high level physics and math, he did exceedingly well on that class and continued studying math until he got a degree, this whilst working to sustain his family and all that comes with having a family.

Another example I can think of is my complex analysis prof.
He started highschool at 31yo, he went to nightschool and got it done, went to a good school in math and ended up getting a math PhD, he is now a tenured professor at my uni and writes papers on complex analysis and cryptography. Hes also a damn, damn good professor.

Fuck off with your defeatist youre too late bullshit.

If there's a will there's a way.

>>11425522
do this first and see what basics you know and don't know
http://uregina.ca/~mareal/diagnostic
the gist of it is general properties of elementary functions, how they scale, translate, etc. ; algebraic manipulation to solve for variables ; inequalities; how to sketch graphs ; and trigonometry - unit circle, identities, etc.
if you know everything here, pic up literary any intro calculus book and get going.

>>11423367
>>11423368
I don't immediatenly see how this averages over selected elements.
Also, how to compute it for those given poses, practically speaking (an implementable algorithm)

>>11425516
Yeah, sure, I don't care.
>>11425522
There are better and more useful things to learn, mathematics will only bring you misery like it did to me, there's nothing im math for us late starters, there's no light at the end of the tunnel, only darkness.
>>11425529
>Learning for fun
I wasn't learning for fun, I was deluded bu fuckers like you that thing that this world is a walk in the park, that 50 year old guy will never get a job in math. You people made me believe I could make it by writing those motivational texts but they're all empty in reality. Oh, yeah, in reality things are very very different, you have no idea how harsh the world of mathematics is...

more proof than ever that anime posters are by and large the bottom of the barrel of people.

You guys wanna know what was the hardest thing as a late starter in college?

It was seeing all my younger friends getting better results, better grades, getting jobs, being praised by professors and getting advisors. What did I get? No one, I didn't receive a single compliment during my time on college.

>>11425567
boo hoo, you need someone to wipe your ass for you too? don't care how old you are, you sound about as far mentally as a 14 year old.

>>11425554
>I don't care.
is that why you've derailed this thread into your personal blog? because you don't care?

>>11425541
Thank you, this seems like the exact type of thing i was looking for.
>>11425554
>>11425567
Yes yes, it is not my fault you need constant validation of everything you do.

>>11425587
Anyone's free to ignore me.

>>11425554
Don't do shit then retard.
I didn't say this world was a walk in the park you fucking faggot, what I said is that if you're actually invested in learning things and being good at what you do then you can absolute do it, and there's countless examples of this.
The 50yo dude never wanted a job in math or praise, he was already a successful business man and a loving father. He was just genuinely interested in learning, this is what made him different from losers like you, he had drive and purpose.

>>11425134
>>11425345
I don't know what first year high school math means so I am just gonna assume you know basic algebra.
Start with a pre calculus textbook like Sheldon Axler Pre-Calculus. Read it and solve the examples without looking at the solutions. After you are done with a chapter, do the odd numbered exercises. The reason I am saying odd numbered exercises is because they have solutions so you can check them, and also because doing all the problems is kind of unnecessary and way too time consuming.
And after you are done with that, move on to calculus, which can be hard or extremely easy depending on which textbook you choose. Textbooks like Apostol or Spivak give you a real taste of mathematics but they are pretty tough and I don't think you will be ready for it just after finishing a easy pre calculus book. Something more realistic would be Thomas Calculus which is really easy, has alright explanations. Kind of long but it's just how it is. You don't have to finish the whole book, you can leave the multi variable topics for later. After calculus most people move onto Linear Algebra, and again, depending on what textbook you choose this can be a really easy topic or a really challenging one. Just go with the easy way and read a book like Linear Algebra and its applications by David Lay.
Just finish these first and decide if you really like math so far. You don't have to worry about other topics untill you finish these topics which are essential. You probably won't have a easy time at first. But usually after reading a topic for the second time, everything makes sense and you feel dumb for not understanding it the first time.

Anyways, good luck anon.

>interject opinion into conversation
>'uhh whatever dude just ignore me'

>>11425649
He's just a loser to me, anyone who's interested in learning without thinking about doing proper progress in their field is nothing more than vermin to me. They can do whatever they want, I don't care. What I'm talking about is building a career in mathematics as a late starter, if you start at 21 it's already nigh impossible.

>>11425438
Realistically speaking, how much credit do Poincaré and Riemann deserve for relativity?

I'm just human scum, yes, I've deluded myself for too long, I was just trying to cope with the fact that I'm actual trash. All those dreams I had about myself, pff, what a joke they were, we all get into college believing we will ne Mozart, but after 4 years of failures you realize you're actually Salieri. Go after your dreams, never give up, that's a joke, all of it, a joke sustained by society's naiveness, we all like to believe that we're Mozart, right? But we all know that there can't be billions of Mozarts, we're all trash but we try to delude ourselves and others into thinking otherwise, that's so messed up, that's the most cruel thing in society, we are molded into thinking that our hard work will surpass any adversity, but it won't, the world crushes everything you believe in and the funniest thing is that not single person cares about it, no one gives a fuck about me and my failures even though they were responsible for it. They destroyed me and now I can't do anything, I can only accept that this is how society works, it tricks you, it destroys you and then it throws you into the trash can and no one cares, they're all too busy 'pursuing' their dreams, little do they know that their destiny will be the same as mine, and you know why? Because no one wants to change the system, because people are too individualistic, because they can't see the big picture of the world, they can only see the small portrait of their lives. When I was 15 I used to dream about proving a millenium problem, haha, society really fucked me up from the start.

>>11425780
Poincaré deserves a lot, Riemann not so much.

>>11425800
but what if you achieved bankai?

>>11419925
math is not a science, but i wouldn't expect a cave woman to know that

When is Ugg going to present his paper on 'Ugg on How and why of count rock, is 1 rock = 2 rock? '?

We're all in the same sinking ship, you guys in this thread and I, you think a of you are like that tohou poster? You think all of you will even get to that level with hard work? Please, I believed that, I've been through that, I've done everything you guys are doing now and here I am, living in subhuman conditions, that's our destiny my friends, all of us who have chosen mathematics as our major, go on, close your eyes, close this thread, stop reading those words and keep hiding in your 'dreams' believing that you will accomplish any of them, can't you see that this is how society molded you, you idiot? Can't you see that it's all a trick? Your future was already determined from the moment you were born, you already know this, you already know about your weaknesses, why are you ignoring it? Ignoring will change nothing, sooner or later reality comes knockinc on your door. Open your goddamn eyes, we're all scum, we shouldn't have wasted our time in mathematics thinking that we would amount so something.

>>11425853
Are you okay schizochan? Did you accidentally take your meds?

>>11425853
can you just an hero already and stop shitting up the thread
we'd all really appreciate it

>>11425677
Just fuck off.
Its possible to make it in any field starting at 21, even much, much later.
Just not for you because you have a loser mentality. So just go ahead and kill yourself and stop shitting on this thread

Why is /mg/ always so hostile?

>>11424706
>Music (Classical)
Jazz is equally as good thx

>>11425567
this, desu

>>11425893
You misspelled 'metal'.

>>11425780
>>11425804
to be fair, riemann did invent curvature

>>11420128
get out of here with your moralfagging

>>11426012
Cope.

>>11424706
classical philology is also very high level

>>11424666
True but the second paragraph was only for undergrad, and the community college was hell for this, do not fall for the meme that cc is better. Unless education quality does not matter to you do not go to a community college

Example 1st year linear algebra: [math]T:R^2 \to R^3, T(e_1)= (1,2)[/math] This is burned into my brain, since when a student called her out, she said "It's doesn't matter the dimensions of the matrix." As her only rebuttal. So much insane bullshit to unpack in 5 seconds.

>>11426066
I personally didn't go to one, but what's wrong with CCs? For some people, it's the most sensible option.

>>11426066
>[math]T:R2R3,T(e1)=(1,2)[/math]
am I reading that right or did I finally go full retard?

>>11426081
The latter.

>>11426075
Depending on what CC you go to, you get one of two flavors
>The Factory
In which the Community College has no admission standards but requires the faculty to pass 70% of the class despite it being an accredited institution. This means that someone who definitely got an F in the course, but is in the upper 70% of the class still gets a passing grade. This is due to the fact that since there are no admission standards, a class can be packed nearly full of people who are just not competent to take the course. The truth is the CC doesn't care about if you make an A or an F, only that enough people pass in order to pay tuition next semester. These institutions are almost for profit-institutions and heavily push online courses since they technically don't have to cap how many people take them.

>The slowly degenerating local option
This institution may have been a trade school that serviced everyone in a 60 mile radius, but picked up some college courses along the way. Then they made the conversion to a CC, state funding and all, only to discover the local demand for it is so low that its facilities are now slowly degrading due to lacking the funds to maintain them and the only professors they can get to teach the courses are people with a Bachelor's degree at best due to the quality of the local populace. The reason its accredited is less about how well it works as a CC and more about giving people in that area an option for higher education. Many of these institutions, during the conversion, threw out the trade schools only to realize they were the reason they were even able to balance the checkbooks to begin with.

>>11426075
For math specifically you might be a 1/500 major, They do not give a single fuck about whether you are prepared.

Any good books that approach ODEs from a more abstract/analytical approach, rather than just computing them with algorithms?

>>11426281
yes.
try any actual book about ODE/dynamical systems
strogatz nonlinear dynamics is quite good

>>11426448
Thanks. Unfortunately, it seems most undergrad ODE classes are exclusively designed around giving engineering students a bunch of algorithms to solve ODEs and nothing more.

>>11419943
You are just mad.

'Boohoo something doesn't appeal to me so it's bullshit'. Just because some third world shithole has more medals than your country (assuming it's not one of the former in the first place) it doesn't mean it's flawed.

>>11426075
for freshman courses if ur poor and not a genius, absolutely nothing. my state uni education has been worse sophomore yr onward than anything my cc professors provided for me. the kids are literal genetic slime and hate every second of thinking but the teacher’s are far less entitled, more available for office hours time and become overwhelmed with happiness if you put effort into learning the material and ask intelligent questions after class. by contrast my uni experience has been filled with sociopaths, subhuman classmates forced to take lower division science courses for gur credits and nigger brained diversity hire insectoids who don’t read the fucking textbook they force all 4 of their lecture sessions, 50+ students each, to purchase. The only reason uni is preferable is social prestige and the fact that you usually don’t pay a cent for it if you are smart enough that the quality of the education is irrelevant to your learning, ie you are too smart to learn via lecture and take in the material at home much faster than the pacing of the class.

*perfects the integral*

>>11419943
Japs are super-dumb, they're only good at churn. US does in fact produce some of the best mathematicians on earth. Other notables include france. While germans had some good mathematicians, they either immigrated to the US (hint hint hint!) or died of old age (because nugermans are incapable of math).

>How come third world shitholes like Brazil, Vietnam, South Africa and Iran have fields medals?
This is a bit different. It's the same reason arabs get into engineering and indians get into computers: it's the path to success in their respective geographical area (same reason france is producing good mathematicians: it's one of two ways to get enough money to survive in modern france so virtually everyone goes into math).

>>11426476
wow, it's just the riemann integral
in any case lebesgue integration does not have to happen underneathe, nor nearly so uniformly. if you really want to get across the idea you should be using very messy sums of simple functions (lin combs of characteristics on measureable sets) which converge in mean but not pointwise, uniformly, etc

>>11426497
>Gauss
>Riemann
>Jacobi
>Hilbert
>Leibniz
>Weierstrass
>Dirichlet
>Grothendieck
>Klein
>Cantor
>Weyl
>Minkowski
>Siegel
"Some" is definitely an understatement.

>>11426525
>or died of old age (because nugermans are incapable of math).
Also dirichlet was french, not german.
Grothendieck was effectively french.
Cantor was russian.
Minkowski was russian.

>>11426525
some jews on that list you’re claiming as german, hans

>>11426555
Being born in Russia ≠ being Russian

>>11426562
I used one of two criteria:
- Is born in <country>
- Mostly lived and worked in <country>
Cantor mostly lived in russia, then went to switzerland briefly, only then going to germany. He spent too much time in russia, in my opinion, to be considered non-russian.
I think minkowski's 8 years in russia, especially with his konigsberg adventures (also russian) and swiss teaching before his death, qualifies as well.

>>11426582
Whatever. The first five on the list alone solidify Germany as the GOAT.

>>11426586
Not really.

Fermat
Lambert
Descartes
Laplace
Lagrange
Poincare
Galois

Serre
Tits
Lions

I mean, you can do that for many countries. Greece, switzerland, russia, china, belgium and india have solid claims as well.

>>11426605
None of those are close to Gauss though.

>>11426615
>Lagrange, Laplace, Poincare

>>11426615
I'd say lagrange is about equal to gauss and fermat is more significant.

>>11419943
>>11419955
>>11420001
>>11420003
>>11420012
>>11420045
>>11420068
>>11420079
>>11420080
>>11420099
>>11420106
>>11420143
>>11420553
>>11420594
>>11420665
Jesus Christ you midwit math major fags are wastes of oxygen. What is any of this shit you're babbling about? Quotient groups? Who cares about this shit. Do something useful with your lives

>>11426639
Found the CSdditor.

>>11426639
Bro, just cringe, bro, not cool man

>>11426497
>Japs are super-dumb
>Taniyama
>Shimura
>Mochizuki
k

>>11426712
Thanks for proving my point.

>>11426712
Nakayama, Morita, Yoneda, Kojima.

>>11426639
Is it fun to be dumb? Probably.

>>11426655
>CSdditor
what nigger?

>>11426727
>Is it fun to be dumb? Probably.
>thinks im dumb cuz no autistic number worship
KYS faggot guarentee I'm higher IQ then you
>t. 145 IQ masterrace
I study things that are relevant like history and psychology gay nigger

>>11426750
Nice number worship. I haven't used numbers for 5 years or something.

>>11426639
Wow, anon, I agree completely. Mathfags are gay and autistic. I have a vagina and I would NEVER let a mathfag touch me in my wet hole. I like guys who use their brain cells to think about important things, not cringy spergy numbers

>>11426751
based

>>11426750
Math majors unironically have the highest IQs.

>>11426770
No that would be engineerig majors (people who do useful stuff). Mathfags are 115 IQ midwit LOSERS kek xD

>>11426770
Actually that would be physicsfags.
Math are second, and CS are third when removing undergrads (much lower otherwise).

>>11426798
nope you have no data to prove this. Intuition tells us that math fags are idiots

>>11426801
IQ doesn't really say shit outside the ~85-115 range anon. Mathfags and physicsfags have overinflated IQ scores because they solve IQ-like puzzles all day as part of the toolset they use to do their work. Some CSfags (especially in hard-tcs) likewise.

>>11426798
Why are undergrad CS majors so dumb?

>>11426842
It's not actually about the fact they're CS undergrads so much as it's that CS nowadays covers everything from software development (retards) to IT (double retards) to web devs (triple retards) to actual computer science.

>>11426847
Where does 'game development' fall under?

>>11426803
Unironically this

>>11425549
Do you "immediately" see why the average of a function [math]f\in L^p(\Omega,\mu)[/math] is defined by [math]\mu(f) = \int_\Omega d\mu(x) f(x)[/math]? Perhaps you should think for longer, sweetie.
>how to compute it for those given poses
I don't know what a pose is. Given a representation [math]\rho: G\rightarrow GL_\mathbb{R}(V)[/math] into some matrix group, you'll be able to parameterize [math]G[/math] with [math]\mathbb{R}^n[/math] for [math]n = \operatorname{rank}\rho[/math]. This transforms the Haar measure and its integration [math]\int_G d\mu(g) \rightarrow\int_{\rho(G)} d^n x[/math], or a regular nD integral over the embedding [math]\rho(G)\subset \mathbb{R}^n[/math].
>algorithm
What's that? I don't know what that is.

>>11426863
Depends if it's "game development" or game development. The former is akin to webdev, the latter is above software development, but not by much.

>Elliptic PDEs on Banach spaces

>>11426868
Why is Yukari so happy?

>>11419943
>tfw I have no fucking clue in the slightest what that center equation is supposed to mean and it's probably not even complicated

>>11427002
Capital pi denotes a product, similar to how capital sigma denotes a sum.

>>11427003
Oh, that makes sense now. Cool.

>>11421726
Just try to be good at math, this guy is unbeatable.
https://en.wikipedia.org/wiki/John_Urschel

>mfw Math graduate programs that have over half their students come from China are about have faculty positions open up because their aging professors will be the first ones to die from when the Corona virus really hits america

>>11427264
All Chinese people should die.

How much do you guys study each day?
According to my graduate program's recommendations I'm supposed to put in 9 hours a day including lectures and exercise classes, 5 days a week.
I have never actually managed to put near that much work, but I have ADHD and am terrible with time.

>>11426727
>Kojima
Who?
I'm mostly weired out because I recognize the rest.
Also,
Kashiwara and Oka.

>>11427372
Hideo, dummy.

>>11427264
Wrong, it's because their aging professors have been accepting chink bribes for decades.

>>11427350
>graduate program
>study
u wot m8?

>>11427525
I mean a masters. But in places without the masters system, don't you also have to study and take classes during your first years of the Ph.d?

>>11427547
>graduate program
>study
u wot m8?

>>11419925
Isn't the additive identity linear map bijective? And therefore doesn't belong to either of these subsets of L(V,W)? What am I missing here

PS: L(V,W) is the set of linear maps from V to W.

>>11425883
Heh, that's society's illusion, you just can't realize this right now, but one day you'll see it as well, although it will already be too late, like it was for me.

>>11427614
What's your story anon?

>>11427601
...what do you think the "additive identity" is?
first of all, there's no identity map between two vector spaces.
remember what "additive identity" means for vector spaces, it's not the same as identity map.

>>11427523
can I get a quick rundown on this?

>>11427601
>linear algebra done right
ohnonono...

>>11427782

i like your use of provincial letters

stylish and elegant

>>11427890
Countries in the middle east and china, among a handful of others, have long been bribing universities the world over to overwhelmingly accept, and turn a blind eye to fraud of, their people. This gains their people prestige on the international level allowing them to more easily "control the world", so to speak (they can steal american secrets - a fairly routine occurrence, and when they can't, they at least get world-class training and bring it back home).
Due to how academia works in the US, it's always been the most vulnerable to bribes out of top student destinations.

Examples:
https://www.vox.com/recode/2019/5/2/18526213/tao-zhao-chinese-billionaire-college-admissions-scandal-bribery
https://www.scmp.com/news/world/united-states-canada/article/3051884/college-admissions-scam-chinese-mum-xiaoning-sui
https://www.scmp.com/news/world/united-states-canada/article/3014268/ex-stanford-sailing-coach-john-vandemoer-sentenced
https://www.scmp.com/news/world/united-states-canada/article/3001782/spurned-students-sue-us-colleges-over-admissions

Of course it's not strictly limited to chinks, but it's mostly them:
https://www.theguardian.com/us-news/2019/mar/12/college-admissions-fraud-scandal-felicity-huffman-lori-loughlin

Theft of research is also well-known:
https://www.nytimes.com/2019/12/31/us/chinese-scientist-cancer-research-investigation.html
https://www.washingtontimes.com/news/2019/dec/4/china-steals-us-funded-quantum-research/
https://nypost.com/2019/11/19/report-finds-us-is-failing-to-stop-china-from-stealing-research/

this talks about proving the solution to the dirichlet problem in the unit disc being unique.
My question is why do we need to go through the added work of finding [math]A_n[/math], when we can just say as [math]r \rightarrow 1[/math] then [math]a_n= \frac{1}{2\pi} \int_{-\pi}^{\pi}f(\theta)e^{-in\theta} d\theta[/math] and then by uniqueness of fourier series, we have [math]u = v[/math]?

>>11427941
So, a middle of the road US student gets stuck at lower universities because now every university is packed with foreign students?

>>11427979
More than merely 'middle of the road', and for more reasons than just the chinks, but they definitely play a large part in that. It's like how they buy up all properties in cucknada so the local housing market is fucked and didn't fall in 2008 like it did in the rest of the world.

>>11420003
Stop being a vegfag and go Paelo

>>11422993
>@22% now
This is the end. Farewell discord tranny. May you forget to dilate when you need to dilate the most.