/sci/ - Science & Math

>>11572312
Which edition is this?

https://www.youtube.com/watch?v=ppWPuXsnf1Q
>livestream lectures by 3blue1brown
are we hyped bros?

Is tropical geometry comfy? What's the point of it and what are the prereqs?

>>11572329
>Is tropical geometry comfy?
Generally nice temperatures, but be wary, hurricanes aren't as rare as you might think

>>11572324
whichever you want

>>11572335
Okay, uhh, Spring reading edition?

>>11572324
Let's hope for no-shitposting edition.
Can we do it?

Anyway, here's something interesting happening in the unit disk:

[math] e^{-x} = (1-x)(1+\tfrac12x^2)(1+\tfrac13x^3)(1+\tfrac38x^4)(1+\tfrac15x^5)(1+\tfrac{13}{72}x^6)(1+\tfrac17x^7)(1+\tfrac{27}{128}x^8)(1+\tfrac{8}{81}x^9) \cdots [/math]

Threadly reminder that Complex Geometry, specifically Several Complex Variables, is the only God-tier field of math

>>11572344
What's a unit disk, anon?

>>11572362
>several complex variables
>not KK theory
>god tier
oh anon...

Is it safe to say Algebraic Geometry is the final level of math?

Following this guide
https://www.susanjfowler.com/blog/2016/8/13/so-you-want-to-learn-physics
Done the first few chapters of University Physics in a week. About 100 problems so far.

Maybe, I can figure out the theory of everything. I don't have any social life or any life except mindless shitty work.

I was thinking about it. Perelman is so smart because he is a 40 year old virgin who lives with his mother and only cares about Maths.

Maybe, I can do something great if the only thing I cared about was maths.

Think about it logically, nobody can be that autistic to turn down a million pounds to live in his mother basement. That must be why Perelman is a genius.

>>11572362
Let me define it as the closure of the domain in C on which the product for e^(-x) that begins like that converges :P

>>11572362
I'm not sure whether "Several Complex Variables" is a good, stylish name, though.

>>11572397
>Maybe, I can do something great if the only thing I cared about was maths.
Is your real goal to find something to care about?

>>11572394
Have you heard of anyone getting killed or hurt for saying that?

>>11572394
There's not one final level, but several, you must chose your own path and keep going until you reach its end

>>11572394
Final level of math is where you have to create your own level

>>11572397
No, the truth is that some people are born with an really high IQ and a genetic predisposition to mathematics, not only that but the ambient in which those people grew in also elevated their ceilings. People like Tao, Perelman, Scholze, Avila etc were simply born and trained since youth to achieve their full potentials.

What does this mean? It means that they're players with more talent than we, but it doesn't mean that we can't do it, it'll just be much harder for us to make a breakthrough or to achieve fame within this area. The odds are all in their favor, that's why a lot of them end up winning a Fields Medal or revolutionizing entire fields, but their success and genius have nothing to do with us, it doesn't makes us uncapable of doing the same, but again, in our case it'll be extremely hard, time consuming, it'll need a lot of effort and dedication and honestly a huge amount of luck as well, so most of us, ordinary people, simply don't have all those.

All I can say to you is to not give up, but as you get older and older and you still can't reach the level you want to reach, don't feel bad about it, most of us couldn't as well, actually, almost no one couldn't. That's the sad reality of our world.

>>11572403
>I'm not sure whether "Several Complex Variables" is a good, stylish name, though.
What about Holomorphic Functions of Several Variables? Or even Complex Analysis in Several Variables?

>>11572484
I meant mostly that ending it on "of Several Variables" sounds less like a subject than a name, like Analysis, or soandso-theory.

For some reason I also never really needed to know any theorems that are particular to that field. Although my only arxiv paper is in part about about spaces with an almost complex structure.

>>11572519
>Although my only arxiv paper is in part about about spaces with an almost complex structure.
Post it here mate. I wanna read it.

>>11572523
I never picked it up again and my advisor worked on more quantum than classically geometric objects later on

>>11572537
>quantum than classically geometric objects later on
That looks pretty nice

Recommend me cheap Springer books to buy (below $40), that are hardcover and beautiful on the shelf.

>>11572344
The trannies will ruin this one too

>>11572327
>are we hyped bros?
I'm not a "bro".

>>11572576
>beautiful on the shelf
uhhhh you know the purpose of books, right?

Has any other mathematician been so productive in their later years?

>proved the non-existence of complex structures on S^6
>proved the Riemann hypothesis
>12 page proof of the Feit-Thompson Theorem

>>11572344
What are the coefficients supposed to be?

>>11572583
Yes.

>>11572584
Um, can we not??!

>>11572579
>trannies
Homophobia already, *sigh*, just please leave this general, scum.

>>11572553
Like
https://en.wikipedia.org/wiki/Moyal_bracket

One advisor became sort of demented and the other died of cancer.

>>11572587
Well, they don't have a name afaik.
But e.g if c_n is the n'th coefficient, then if n is prime, then c_n=1/n. E-g. (1+x^5/5) is part of the product expansion.

I mean similarly, from
[math] \dfrac {1} {1-x} = \sum_{k=0}^\infty x^k [/math]
you can get to
[math] \dfrac {1} {1-x} = \prod_{k=0}^\infty (1+x^{2^k}) [/math]

https://www.wolframalpha.com/input/?i=Product%5B%281%2Bx%5E%282%5Ek%29%29%2C+%7Bk%2C0%2CInfinity%7D%5D
Product[(1+x^(2^k)), {k,0,Infinity}]

>>11572244
Any decent combinatorics textbook will have some basic material on Catalan numbers and the standard things they count (various definitions of them, bracketings, triangulations of polygons, Dyck paths, etc.) and it's probably best starting there if you know zero combinatorics; trying to read more specialized stuff might be difficult if you don't know standard combinatorial techniques.
Although Catalan numbers are the weeds of combinatorics. They will grow literally anywhere, and there's hundreds (probably thousands) of pages of material out there about them.
There's an exercise in part 2 of Stanley's Enumerative Combinatorics with 66 things the Catalan numbers count, and apparently even that wasn't enough autism because he wrote a standalone book (which I haven't read, for disclosure) with another ~150 places they show up. And that's still not remotely a complete list.

>>11572576
>Springer books
>beautiful
Basically your only hope of this is getting an old GTM in an early printing. New Springer books are shiny plastic pieces of shit and if you get one that's been reprinted too many times the text inside looks like a faded pile of ass.

Have you ever spent a minute or two trying to answer the question "for which integers [math]a[/math] does [math]a^2=1[/math] hold"? That happened to me 10 or 11 hours ago, and I'm still embarrassed.

>>11572583

remember: anime posters don't do math, they only talk about doing math.

>>11572329
yeah its comfy. Prereq is basic algebraic geometry. Maybe not even that as long as you know algebra and are willing to learn.

>>11572660
[math]-1, 0, 1[/math]
Came instantly to my head.

>>11572660
>>11572680
depends on the context

Is it realistic if my dreams are to be a researcher mathematician and at the same time be a manga writer and artist?

>>11572660
Pretend you were looking for solutions modulo n. It's a more interesting question that way.

>>11572695
no

>>11572329
>tropical
>exotic

are these just euphemisms for non-referring concepts or do they refer to actual things.

>>11572700
No. In tropical case it's just cause the first famous guy to seriously study it was from brazil. Just call it min-plus algebra if you want.

>>11572700
>The adjective tropical in the name of the area was coined by French mathematicians in honor of the Hungarian-born Brazilian computer scientist Imre Simon, who wrote on the field. Jean-Éric Pin attributes the coinage to Dominique Perrin,[6] whereas Simon himself attributes the word to Christian Choffrut.[7]

>>11572699
Why

>>11572705
Threadly reminder not to work with brazilian mathematicians

>>11572696
I was, modulo 9, but still. I just wish I could forget this day happened.

>>11572695
If you are asking whether a character with such dreams would be realistic, then yes.

>>11572707
because being a weeaboo is orthogonal to any kind of success

>>11572443
Grothendeick was not exceptionally gifted or nurtured

>>11572695
If you are not Japanese you will never be a manga artist/writer. They only publish Japanese, and Japanese only read Japanese, and japan is the biggest market.

>>11572729
What if I draw a manga, publish it online (like many others have done) under a japanese name? I believe if it was a good manga, then some publishers would be interested in it then I would tell them about my situation

>>11572703
I don't understand why they do that. They couldn't come up with a symbol for min(a,b) and just use addition as normal, instead they put this stuff between quotations and call "tropical addition" the min and addition "tropical multiplication". I mean what the hell is with that, is there a reason that becomes clear later or is it just unfortunate notation?

>>11572735
Maybe, I mean obviously if it's good then it can be published and people will read it, but it would have to be especially great for the manga industry to take you seriously. But whatever; just go for it if you think you can

>>11572729
Many korean and chinese and even some french manga found success in Japan.

>>11572740
It reduces polynomials to piecwise linear functions, while retaining some important properties.

>>11572750
I'll start learning japanese and learning how to draw during my free time, thanks.

>>11572740
Obscure terminology makes your work sound more impressive, anon. This is academics 101, come on

>>11572403
>I'm not sure whether "Several Complex Variables" is a good, stylish name, though.
I like it. Im going to put on human music and read the next chapter of several complex variables while drinking onions.

>>11572794
>reading a whole chapter at once
Let me guess, you skip the exercises to "come back to later"

>>11572735
Can you give us a sample of your work?

Good night.

>>11572807
>not instantly going to the solutions at the back to save time

>>11572816
>could never really get into somali
Is it good? The season ended,right?

Wait: this is not /mg/ related. Hmm nevermind don't respond or jannies will ban both of us.

>>11572816
It'll be a bildungsroman about a the life of a boy who dreamed to be a great mathematician, but life fucked him up since he was little, it'll show him going through many hardships until he reaches college then start failing again and falls into depression. There's more but I stop here, one day y'all might be able to read it who knows.

>>11572836
Sounds boring and lame

hmm i should stop browsing 4chan and study math since i'm trying to succeed in math

>>11572836
Sounds cool. I assume there'll be times when he battles his inner doubts like "I'm too old to start being great" or "I'm just not high IQ enough". You should personify those thoughts as his favorite old Jewish mathematicians, would be based and redpilled.

>>11572863
>You're here forever

>>11572836
so youre writing my autobiography?

>>11572867
Sure, I plan to adress those question, the main themes of the manga are going to be about depression, life in the academia, geniality and a little of philosophy of mathematics and a little romance also, I don't want to create a shallow narrative using mathematics as a background like many others done before, I want to create something that real mathematicians can relate to, talk about the nature of foundations, about real research fields all while narrating the story of the main character and those around him.

My main inspirations for this are the movie Amadeus, the manga Good Night Punpun and the book Crime and Punishment, although none of those really captures the essence of what I wish to accomplish.

>>11572890
Cool, it doesn't sound bad. Actually it sounds like it could be good. But if there are 3 things that make a manga, it's
>Memorable character/art design
>Quality dialogue
>Good pacing
For one person and no one/very few people to judge you as you're working it's hard to get the right formula, just keep in mind

>>11572905
Also,
>/mg/ := mangaka general

>>11572905
I see, I really need to work on improving my art a lot, it's not a complete disaster, but it's also far from good enough, but I do have faith that it can get much better with everyday practice, problem is that after the quarantine I might have very little free time to work on it.
>Quality dialogue
>Good pacing
What do you think makes a good dialogue and good pacing? Can you give examples of such?

>>11572890
if you dont drop in some steins gate references then just quit.

>>11572907
NEW FORMAT?
MATHGAKA?

Absolute state of this thread

Given that I have estimates for all the partial derivatives of the components of a diffeomorphism [math]\Phi:\mathbb{R}^N\to\mathbb{R}^N[/math], is there any way to know if there are similar estimates for the partial derivatives of the inverse? I also know the jacobian determinant of [math]\Phi[/math] is bounded below by 1/2

>>11572936
mathgaka? more like mathbaka

>>11572948
Great thread so far. Math+manga is a comfy combo

>>11572948
I wonder what's causing the sudden explosion of blogging animeniggers
We've always had to deal with them but we're going through threads like toilet paper the last few days

>>11572959
>>11572137

>>>/a/

Hey frens. Mathlet here. So I mostly missed out on primary school mathematics due to having stunted growth. To add onto that, i dropped out of high school in year 9, never understood maths.
Now I'm in university doing a biomed course. Everything is pretty easy and I understand everything when in doubt i'm able to figure out shit.
But maths in Chemistry.... I know how to do the formulas I am given. But I have no clue how I am getting the answer. Currently, I am doing Boyles law, Charles law, avagadros law, combines gas law etc etc. I'm able to follow the formula and get the answer most of the time UNLESS the question is worded different to how the lecturer explained the formula. Say if the Combine Gas Law is asking "for what temperature does X gas at X degrees and X atm occupy a volume of X mL at a pressure of X atm" and the lecturer did this formula in a lecture, i would be able to do it. But if it said what would the VOLUME be. I get lost as to how i would do it because i never understood what was happening in the first place when regarding temperature.
Like, i know what the answer means and i know what i am trying to find out and why i just don't know HOW i am getting there. This goes with almost everything to do with maths. Honestly, i think it boils down to the primary school/high school maths i never listened to.

Does anyone know anything a brainlet like me, could do to understand basic stuff like this?

Asking again because it got lost in the previous general

Does anyone know how anti-foundationalism applies in math? How can you do math without foundations?

>>11572312
Dont understand congruences. a is congruent to b mod m implies a^2 congruent to b^2 mod m? how to prove?

>>11572394
Yeah, when you pass algebraic geometry class, this is the end.

>>11573021
>how to prove?
What have you tried?

>>11572413
>precalculus
Do burgers really?

>>11572997
yeah study a bit of equation solving. go back to basic algebra.

>>11573009
Just do math. 95% of normal practicing mathematicians don't give two shits about foundational autism and don't know much of anything about it.

>>11573018
Are the books Misha recommended actually good? I only know the homotopical topology one from those.

>>11573026
If m|(a-b) then that means a = mx + b so I have to find some y such that a^2 = my+b^2 but I dont know how to do

>>11572997
>>11573028
this in particular might help
http://hyperphysics.phy-astr.gsu.edu/hbase/alg2.html#ag

>>11573009
>How can you do math without foundations?
how did you know 2 and 2 is 4 before you knew what a field was?

>>11573021
>>11573026
>>11573036
WAIT i think i got it. Because a^2 - b^2 = (a+b)(a-b) then because m|(a-b) then m|(a+b)(a-b). Is that right?

>>11573032
As far as I can judge (and mostly the basic ones, because I'm not a topoloshitter) they're all unironically good books, with the caveat that he uniformly chooses the most hardass books possible for every topic. For example, Kostrikin/Manin is a really cool book, but the idea of using it to actually teach first-pass linear algebra is almost comical. Fuchs/Fomenko is similar; neat stuff, but it's probably the most high-octane general-purpose algebraic topology book out there.

>whole world: body
>americans: field
When will americans adopt body as the main name instead of field?

>>11573047
Which do you think is the better book for LA, Axler or Hoffman?

>>11573037
I feel like such a retard when i look at this. In high school it took me so long to understand what x meant. People would say "x means anything!!!!" and i could not fucking get it. Makes me furious, if i just knew what they meant i would have been able to listen.
I wish i started school at an older age

>>11573037
>>11573028
Thanks though. I'll get it soon enough

>>11573063
Damn, maybe you simply weren't born for this, don't push yourself so much.

>>11573049
Aren't they called fields in Russian too?

>>11573076
Nah mate she'll be right. This is why i chose med and not maths

>>11573063
>I wish i started school at an older age
How much older?

Is there any explicit bijection that shows that [math]|\mathcal{P}(\mathbb{N})| = |\mathbb{R}|[/math]?

>>11573245
yes. biject the power set of N with the set of 0 1 sequences, by setting a_n = 1 if n is in the set, a_n = 0 otherwise. then use binary expansions to biject this set with R.

>>11573049
Body is too common a world in the English language and in academic speak; e.g. a body (corpus) of knowledge, bodies in motion etc.

>>11572327
Yes

>>11573062
Get Terence Tao's Linear Algebra notes, they go with a book called Linear Algebra by Freidberg/Insel/Spence covering some numerical linear algebra. This sounds crazy, but at the same time watch Wildberger's Linear Algebra series, because he uses all rational math in a geometric focused course and everything makes sense, then you can figure out the crazy abstract shit in Tao's book.

>>11573333
>Wildberger

>>11573354
>trying to refute quads

>>11573357
My bad, didn't check'em.

>>11573354
Wildberger is a good teacher and a good mathematician, he's got a very extremist philosophy about foundations.

>>11573333
Then after that I can tackle Kostrikin?

>>11573256
>then use binary expansions to biject this set with R.
Can you actually draw up a real bijection between these two? You can get an injection from R into P(N) fairly easily using binary expansions, and this only misses a countable set so it's fine for cardinality arguments, but what do you do to account for the .999... meme numbers with two expansions?

>>11573230
maybe 6months - 1 year when they found out i was retarded. I should be happy though, that i wasn't put on adderal or something and end up as a permasperg. And that my mother cared enough to take me to a specialist

>>11572836
Put like this, it sounds like an adaptation of a Hermann Hesse story.
>>11572890
Put like this, it sounds like something I could actually find myself reading. Are you still in planning phase or have you already produced something?
>>11572919
>What do you think makes a good dialogue
I'd say a big part of it is consistency with both the characters and the story. When it has been established what a character is like, then their words should be compatible with that. If they are not, then this deviation must be either established by what has happened before, or acknowledged by other characters and linked to upcoming events. Another component that would improve to the dialogue is to include some everyday life stuff in it. You want your characters to feel like they are alive, not like that they exist solely to further your story.

>>11573049
The best name for those is municipality.

Let's have a productive and nice day!

>>11572680
>0
Anon, I...

>>11572740
Mathematicians are pretty shit at naming things desu.
>naming a map, construction, or whole goddamn field after the letter you chose for your notation

>>11573373
>real bijection
I don't know of an easy explicit bijection but I'm comfortable with the one using Cantor-Schroder-Bernstein theorem.

>>11573645
>naming absolutely everything after the guy who studied it first
and for bonus shit points
>there's a perfectly logical, short [adjective] [noun] name you could have given it instead
>guy who studied is still alive and active in the field, but despite all the mutual dicksucking and naming everything after each other it's still considered "bad taste" for Dr. Jones to call it a Jones polynomial, so he uses different terminology than literally everybody else for the object he fucking invented
honorable mention
>6 hojillion things named "Galois" for literally no reason

Is it true that some mathematicians exaggerate how easy they find the subject to discourage upcoming mathematicians by making them think they're not smart enough because it doesn't come naturally to them? Because they view them as competition.

>>11573709

no, neva! why even would they?

>>11573709
That even starts in undergrad courses.
Usually it is part of a vicious cycle, firstly you have someone who is supposed to present something. But he doesn't understand *exactly* what is going on so brushes over the details, which (at least if done well (make sure to use phrases like "it seems clear" when something isn't clear)) just makes it seem as if he thought the problem was really easy and there wasn't much which needed to be said (if someone asks a question it usually works to look confused and tell him that this is basically just the definition).
That causes everyone else either to feel dumb or (if they genuinely thought the problem was easy) to think that the person presenting was as good as them.
This of course leads to everyone else not wanting to be the dumb one (which also discourages questions) and thus presenting in a somewhat similar style, which again has the same result.

>>11573766
very true

>>11573766
sadly this

>>11573766
Just pretend you're an idiot savant. I do it.

>>11573766

> tfw everything is easy yet in a strange way unexplainable

but then again some undergrads are insufferable lazy entitled cunts

it is hard to judge

anons I know this is a dumb question for you but this troll keeps posting this over at /lit/ and I seriously can't wrap my head around how B is supposedly not the answer. Am I being rused?

>>11573894
A nice way of visualizing these problems is to unfold the cube into a 2-dimensional net. This turns moving around the cube into moving along 2D lines, which are way easier to visualize.

>>11573894
The red X is where the bug starts from.

>>11573898
yeah, I know, anon, this is one of the posted solutions, but A and B are nor even labeled and I suspect that I am being rused somehow.

>>11573919
Look at the colours, anon. In the very first picture of the box the sides are named and given colours. Also that black thing that looks like a spider is the bug (just look at its position with respect to each colour!), so that is your A.

>>11573925
I know the black spider is A. And B should be the on the black line, where u5 and u6 meet, right? So the correct answer is in fact the point where u1,u2,u3,u4 meet, or what?

>>11573932
That does seem to be the case. The maximal weight loss for the bug is obtained by putting the food where the first 4 u's meet, and B is where u5 and u6 meet. I wonder if mathemagicians with pets do this to their animal friends IRL.

>>11573894
>>11573919
The only thing rusing you is that fucking hideous attempt at a solution. It's not wrong, but I'd rather insert a paperclip in my urethra than read that fuckfest.

The point is diagonally inwards a little bit from B, on the top. If you want a loosey-goosey "intuitive" reason why this is harder to get to, it's because you can move more efficiently to B than the better point.
Going straight to B, you always go up at a perfect angle, like a spiral staircase; you make progress equally in two directions at the same time the entire way there. But if you move the point into the top a little bit, then you can't cheat all the way up; some of your movement has to be inefficient, and for a bit, this overpowers the fact that you're moving it "closer" in space.

I wonder if this problem would trick less people if it were flipped on its side.

>>11573946
yeah thanks anon I also found this https://math.stackexchange.com/questions/2168127/farthest-possible-points-in-a-rectangular-room

makes it easier to understand that the fastest way to B is to go diagonally over 2 long sides to get the root of 8 as distance, and there point on top is in fact a little bit farther away than that distance.

what's the point of finding the higher order derivative of a function or a non-function graph?

>>11572327
>3blue1brown
THE egomaniac

>>11574028
>non-function graph
What did you mean by this?

>what's the point of finding the higher order derivative of a function
Do you know Taylor series expansion?

>>11574041
how come?
>>11572581
you are my bro, bro.

>>11574044
>What did you mean by this?
A graph that is not a function.

>>11573638
Fuck off

>>11574041
Is grant really a narcissist?

>>11573643
For some reason I read that as [math]a^2=a [/math]

Is my proof correct? I forgot to mention that b<1 and because of that 1/a can't be bigger than 1.

I got completely ignored on the stupid questions thread.

>>11574044
>What did you mean by this?
like graph of motion/position or growth/size

>>11574188
anon....

>>11574231
Shut the fuck up

>>11572312
>if you're so smart with all dem fancy number thingies then why you am no rich

>>11573914
you know you can make more than one net right? whats to say the endcaps arent at a different position on the body?

>>11574159
>>11574257
Butthurt anon?

>>11573373
Yes, it's fairly easy to construct a real bijection. If you spend a bit of time thinking about it you can handle all of those cases.
What needs to be done is that you need to handle the sets which contain all natural numbers after a certain point. In fact, we could also just let in the repeated 1's binary expansions and instead handle the binary expansions which have only finitely many 1's. Let's reverse these and send the reversed sequence to the corresponding negative number. That provides an injection of the powerset into R, and indeed a bijection with [0, 1) U -N. To biject this set with R just Hilbert hotel all the points into the interval (0, 1) and apply some shift/scale of arctan.

>>11573709
After you're exposed to something for long enough, even if it's really tough, it becomes easy and natural to understand. We just lack perspective to see where someone else could be in that process.

>>11574223
C'mon guys, it's an easy 4-lines proof, I know anyone here can understand it easily, why is no one answering?

>>11574166
No, he thinks what he's doing is just screwing around and doesn't understand why people think it's so great. When I tried to compliment him he got really flustered and said essentially denied that he's doing anything good for the world.

>>11572680
Holy moly you're a roly-poly Downsies frownsy.

>>11574350
False modesty

>>11574223
It is not correct, because you forgot to rule out the case -1 < a < 0.

>>11574359
>-1 < a < 0
But it's obvious that in that case a will never be smaller than 1/a, right?

>>11574223
It's alright, but you haven't said anything about -1 < a < 0 (which won't satisfy the inequality but you need to say that) and I feel like it's a bit of a messy proof.

I'd probably first prove that a < 1/a implies a < -1 or 0 < a < 1. Then i'd say, since b < 1/b, we get the same thing for b, and 1/a < b < 1. So we don't have 0 < a < 1, and we need to have a < -1. This is essentially what you said but without making like 5 assumptions and contradictions.

>>11574365
>It's obvious
You still need to write it down for the proof to be correct. The piece of paper doesn't know what's obvious and what's not.

>>11574353
Seemed more like social awkwardness to me. Stop projecting.

>>11574365
You still should mention it (just like you mentioned that a has to be smaller then 1, which is just as obvious).

>>11574368
I see, I'm new to proofs so that's why it's so messy, thanks for the tips, hope I can get better at writing them

>>11573894
Here you go anon.

well, i made a sign error. now here you go.

>>11574389
This explains everything well, because it has text in colors, and anon even found an alcoholic to make the hand drawn bits.

>>11574422
Top kek

>>11574422
>>11574436
>smug anime cringe

Like water off a ducks back la's

>>11574447
Is this the hill you want to die on, deplorable?

>>11574458

>>11573919
This is the most autistic diagram ever, how can /lit/ be so fucking incompetent at typesetting?

>>11574389
>>11574421
This is wrong, you forgot the + 4. And going sqrt(5) + 1 is wasteful when you can just look at it like a big 3x1 rectangle and walk sqrt(10) directly to B or look at it like a 2x2 square and walk sqrt(8) to B.

>>11573946
This is tempting but I'm not fully convinced. The stackexchange answer I quote below has a pretty picture that's more convincing, but an actual algebraic reasoning would be much better.

>>11573958
This answer is everything that's wrong with math stackexchange. A kid posts his homework and the answer starts with "If we take the geodetic ball of radius [math]r[/math] centered in a vertex [math]0[/math]" and only provides the diagram, incomplete and lacking any annotations, afterwards. It doesn't even have a [math]0[/math] point. Pointless wankery to show off on a 10th grade problem.

Not the guy that originally asked this, btw. Just happened upon it.

>>11574566
>If we take the geodetic ball of radius rr centered in a vertex 00
Based
If you're a kid and doesn't know what a geodetic ball is you're NGMI

>>11574566
oh yeah, DANG IT!
im gonna fix it now.

Holy moly i can see how many steps i skipped in this. FUUUUUUUUUUU

ok ive humbled myself and can give you the proper solution

>>11574603
ok im fucking retarded
>s is out of bounds

i wont post again until i have the proper answer.

>>11574609
Honestly, kudos for at least trying. But now I have to make fun of you

>[math]s \in [0, 1][/math]
>Makes [math]s = 2[/math]

>>11574614
thats ok. i appear to have been tricked?

test

Which anime series are /mg/-approved?

>>11574386
That's fine. Don't worry about being perfect, it all just comes with practice. But it's never a bad idea to ask others what they think of how you've formatted or written a proof (as long as you're open to revisions)

What are the prerequisites for Several Complex Variables?
Complex Analysis, Manifolds and Algebraic Topology?

>>11574578
>geodesic ball
it's not a riemannian manifold

>>11574566
yeah looking back at it, going (1,1,0) and (0,1,1) is more efficient. i jumped into it thinking it would be piss easy and there were lots of mistakes i made.

>>11574648
that should be fine

>>11574654
Hum, I was expecting a bigger answer. I mean, how can I even be sure you actually know anything about SCV?

>>11574649
It's a smooth manifold

>>11574667
i don't know anything about SCV. does that matter? the field is literally just complex analysis + manifolds + algebraic topology.
>>11574669
perhaps if you remove the vertices.

How many more decades until it's understood?

>>11574684
It's already understood to be complete bulshit. Mochizuki has zero accomplishments and is irrelevant outside of /sci/ shitposting.

>>11574684
What the heck is up with those alien hieroglyphs?

>>11574690
>It's already understood to be complete bulshit. Mochizuki has zero accomplishments and is irrelevant outside of /sci/ shitposting.
t. freshman brainlet

>>11574698
t. Mochizuki

>>11574683
Of course it matters wtf? How can you give advice on something you admitedly know nothing about? You crazy?

>>11574695
special tex symbols for use only by knuth. mochizuki broke the seal and tried to use them in his own paper, which is why knuth started a massive disinfo campaign against IUT to discredit mochizuki.

>>11574690
Scholze has repeatedly exposed himself as a brainlet in Woit's comment box

>>11574707
based

>>11574709
How so?

>>11574722
For example read the latest comment where Dupuy dunks on him

>>11574725
>Cumming with someone else's cock
C'mon you can do better than that

>>11574737
Why does he need his brainletness to be further exposed when there are already dozens of paragraphs showcasing how he has no idea what he's talking about?

>>11574747
I don't know who're you talking about, that poster, Scholze or Dupuy?

>>11574753
>I don't know who're you talking about, that poster, Scholze or Dupuy?
There's only one person my comment makes sense to refer to.

>>11574759
Yourself then

Is Dupuy in /mg/?
Feel like it.

>>11574799

>>11572583
The people who ask questions like that are the ones who read the first chapter, realize theyre too retarded to understand, then never tough it again. Think about how many people care more about the aesthetics of a fucking bookshelf than actually learning math. They don't care.

>>11574891
>The people who ask questions like that are the ones who read the first chapter, realize theyre too retarded to understand, then never tough it again.
I think I'd feel ashamed to put a book I gave up reading because I was too dumb and lazy on my shelf. Why keep a souvenir of your retardation in a place where it's always staring at you?

I fucking love Stephen Wolfram!

https://writings.stephenwolfram.com/2020/04/finally-we-may-have-a-path-to-the-fundamental-theory-of-physics-and-its-beautiful/

www.youtube.com/watch?v=8bdA_g1F06M

>>11574725
Is IUT the limit of human understanding?

How does a senior math student decide on his research topic for graduate study?

https://www.youtube.com/watch?v=MHXO86wKeDY
bros

>>11574963
I want Grant to fuck me in the ass while whispering in his sexy as fuck voice.

>>11574968
understandable

>>11574944

>>11574968
And so we can see that your ass is leaking with cum. Now why is that?

>>11574963
i wish i were as smart as Grant

>>11574963
When will he get a PhD?
I remember him talking about putting it in one of his future options, but he is not really committed to do it.

He's literally presenting the variant of the quadratic formula that's the default in e.g. Germany, just with other letter names and one m=b/2 intermediate variable.
Nice colorful camera, tho

>>11575005
Hi papa flammy.

>>11574944
>spends 2 weeks rabidly trying to catch Scholze with his pants down despite admitting in every post he doesn't understand anything either and is just guessing at what the papers actually mean
Obvious and kind of sad case of clout-chasing going on here.

>>11575005
>that's the default in e.g. Germany
Nope. I learned it as the "pq Formel" and it is still taught that way up here in the worst shithole you can find and it isn't *just* a shithole when it comes in mathematical education, but certainly it is a national leader in general awfulness of mathematical education...

CS is basically math++ and a CS major is considered élite, capable of mastering in 1 year what would take a math major 2. The world's élite universities (Oxford, Cambridge, Hull) will tell you that as a student you are the best group they have and math students go slower than you and increase your load to crazy levels.

As a CS student, you are expected to master (continuous) calculus, discrete calculus (discrete math proofs, hypercubes for parallel algorithms), optimization (machine/deep learning, compilers), category theory (functional programming), logic (up to automated proofs, i.e. including set theory), differential equations, topology (computational geometry, distributed algorithms), probability and statistics (reinforcement learning, queueing), number theory (cryptography), graph theory (almost everywhere)... There is no functional analysis needed yet, but it's heavily used for PhD degrees anyway. You need to know all this down to the level of proving theorems if you want to achieve anything in CS While pure math & physics progress slowed down, the advances in CS are fast and accelerating. CS is the major of future. Math jobs are shrinking; CS jobs will grow even more than today. The AI revolution is here, from Google search to Uber pool to auto correct to recommendation engines, mathematicians are being left in the dust by algorithms from the 90's and just sheer brute force

>>11574975
>took a really long shit

>>11574944
>Those greentext quotes
Please tell me that's just blog formatting and that they're not autists.

>>11575045
stale

>>11575051
meme arrows predate greentext

>>11575051
Have you ever communicated via email?

Do you seriously think that meme arrows are a 4chan invention?

>>11572703
>>11572705

Thanks bros.

>>11572758
>piecewise linear functions

sounds like convex optimization. cool

>>11574566
>>11574603

hey anons thanks for the answers. does my proof by diagram (pic related) show that point B is not the farthest away from A? I mean, when the distance between A and B is the root of 8, then there must be a point somewhere in the green area that's farther away? Sorry I know it's a dumb question again but I just want to make sure that my reasoning is ok.

>>11575180
Close but not quite. You have to show that the green area NEVER appears inside that perimeter (i.e., if you has chosen to unfold the square some other way, would it suddenly be inside the circle?).

For an example of why this is relevant, look at [EFNM]. Why is the area outside the circle but inside that rectangle not also green?

>>11575045
>Math jobs are shrinking; CS jobs will grow even more than today.
>t. codenigger
CS is too crowded now, and you know what that means? Lower pay. Meanwhile mathchads are literally getting money thrown at them if they can do data.

https://www.bls.gov/ooh/computer-and-information-technology/home.htm
>"Employment of computer and information technology occupations is projected to grow 12 percent from 2018 to 2028"

https://www.bls.gov/ooh/math/home.htm
>"Employment of math occupations is projected to grow 26 percent from 2018 to 2028"

>>11575192
ah you mean I have to flatten the box in every possible manner and show that the possible circles with radius AB leave a spot open, which then should be farther away from A than B?

>>11575193
>doing research to reply to years-old copypasta

>>11575200
>>11575192
*edit but apart from that the reasoning is sound? Sorry I'm such a dumbass, it's been a while since I did any math at all and the image triggered me.

>>11575200
Yeah. For example you could unfold the boy a different way, such that the box on the top is one step further left.
There you would get another circle and another area and you would see that not all of the green area is actually unreachable in that distance...

>>11572329
>>11572700
Tropical geometry is great, especially when you mix it with graph theory. It's actually really cool to learn about algebraic geometry without even knowing it. We recently proved the Riemann-Roch theorem for finite graphs in class and it was cool to see how all of these tools came together. It actually turns out that a surprisingly large number of theorems in algebraic geometry have combinatorial analogues. Check out https://www.msri.org/summer_schools/777
>>11572650
As a follow up to his comment, Stanley literally has a book solely dedicated to catalan numbers. If you want to get even weirder, catalan numbers show up in the scattering amplitudes of phi cubed theory
https://www.youtube.com/watch?v=c6Ecajde370&list=PLzYFBWfshN8dm5UZy26Q8aeScU2ndM22M&index=124&t=0s

>>11575200
You have to flatten the box in every possible manner and show that the possible *flattenings always leave a spot open when you make a circle of radius AB centered at A*, where open spots = farther away from A than from B.

>>11575205
Your image is cute.

Does studying tropical geometry mean that I have to read books on a hammock hanging between coconut trees?

>>11575266
Don't forget the Hawaii shirt.

>>11575266
>>11575219
And the graph paper

>>11575266
I thought it meant you would have to fulfill your desires of jungle fever.

>>11575319
What is the best intro to Manifolds? Tu's Introduction to Manifolds or Lee's Topological Manifolds?

>>11574944
> While these difficulties do not falsify the possibility of a proof, they make it so that what Mochizuki has written is not a proof in traditional terms. To speak plainly, flexing on the reader by omitting details is not something new in Arithmetic Geometry and IUT is a weird flex.

what did he mean by this

>>11574943

wtf?

>>11575369
fucking kek

Good non-Ivy school for pure math?

>>11575369
>what did he mean by this
that arithmetic geometers are notoriously obtuse

>>11575394
MIT?
Stanford?

So I just learned about sequence spaces and am still not sure about a few things. Say that we have a sequence of convergent sequences (say, in [math]\ell^1[/math]), that is, [math]( \; (x^{(i)}_n)_{n \in \mathbb{N}} )_{i \in \mathbb{N}}[/math] such that each sequence [math](x^{(i)}_n)_n[/math] converges to some limit [math]A_i[/math] as [math]n\to\infty[/math], and we know that [math]\lim_{i\to\infty} A_i = 0[/math]. Does it follow that [math](x^{(i)}_n)_n[/math] converge (in the topology of [math]\ell^1[/math] ) to a null sequence as [math]i\to\infty[/math]?

>>11572720
You have to be kidding, right? Besides, even if that were the case, he`s just the exception that proves the rule.

>>11575352
Lee's Topological Manifolds is not really about manifolds. It's a glorified introductory topology book that happens to use some simple manifolds as motivating examples.
That's not to say it's bad, but it has basically nothing to do with the differential topology you probably associate the word "manifold" with. You want his smooth manifolds book if you're looking for stuff comparable in content to Tu's book (or any other "manifolds" book).

does anyone here really even study math? i dropped out of school in the 7th grade i just come here to say memes about mitsubihi and his inter universe theory

>>11575394
>>11575412
There's also Chicago, Berkeley, UMich, UCLA
I think the schools in New York (Courant and Columbia) are considered really good too

>>11575449
UIUC, CMU?

>>11575442
>does anyone here really even study math
I odd study maths because I am constantly harassed by primes, but only interested in the [math]p\ge3[/math] case.

>>11575452
Both good, but they're a notch down from the other places listed. e.g. Chicago will rival basically any ivy in terms of quality, and it's outright better than some of the smaller ones (nobody cares about Dartmouth's math department).
If you start listing schools that are good but not ivy-level good your list is going to become dozens long.

>>11575440
So... Which one is better Tu's Manifolds or Lee's Smooth Manifolds?

>>11572754
French manga?!

>>11575472
Depends on what you want, Lee's book is chock full of examples, exercises, and detailed proofs, but it can sometimes feel a little bloated. I think the structure of Tu's book is better, I like that it introduces forms early on, but it is more narrow than Lee's book. Basically, it depends on what you want, are you the kind of person who prefers a lot of examples and systematic derivations of everything from the ground up, or do you want a more leisurely stroll through the basic theory of smooth manifolds.

>>11575483
Radiant

>>11574963
Heh, actually his formula makes a lot more sense than the standard abomination (that I haven't used in almost a decade because every descent calculator can solve quadratic equations - and more).

>>11575490
Using both would be a good method or a waste of time for the most part?

>>11575510
They're just books, dude. Be a big boy and make a decision.

>>11572951
What have you tried?

>>11575510
You could mainly use Tu, and then supplement with the exercises and examples from Lee if you like. Using both can be useful, but there isn't much you'll be getting from Tu that you couldn't get from Lee. The converse is not true, however. Really, just read a chapter of each and figure out which you like better.

If you are doing research, do you have time to read / study about things that you like but not related to your main research?

>>11573406
What do you mean by retarded?

>>11575531
Oh, ok, then Lee has more content, so I'll just use Lee as the main book while taking a look at Tu from time to time, is that good?

>>11575538
Exactly what he said, he's retarded by 6 months to a year.

>>11573709
It's not so much for discouragemente, it's just meant as dick-waving.

>>11575533
Are talking about math only or hobbies in general?

>>11575550
If that works for you, then go ahead. I would say, as a comment to reading Lee, he includes a metric fuck ton of examples, so don't feel obligated to go through all of them.

>>11575560
Ok, thanks, now tell me about Tu's Differential Geometry book, should I read it at some point? Should it be read before or after Lee's?

>>11575564
Tu's Diff Geo book is more useful once you know the material from Smooth Manifolds and some classical diff geo of curves and surfaces. It starts out with Riemannian metrics/manifolds, which is also covered in the third book of the Lee trilogy.

>>11575557
Math. I'm interested in a lot of topics.

>>11575579
So, I can skip it then and go straight to Lee's Riemannian Manifolds?

>>11575533
Depends on what stage of research you are at. If you are right at the beginning you typically have to spend a ton of time getting to know the literature, so you don't really venture out of your field. That being said, after you get a lay of the land it isn't uncommon to peruse related fields. Me personally, I try my best to have at least a basic understanding of what the hot new field is, just to know what the mathematical trend is.
>>11575564
You mean Tu's Riemannian geometry book? Well, Lee also has a Riemannian geometry book as well, but in this case things are a little flipped, Tu's book is more in-depth. That being said, Lee is coming out with a book that, when combined with his Riemannian geometry text, will cover just as much as Tu.

>>11575585
You're not going very far with that mentality, even Von Neumann said he only knew about 20% of all math in his time, you need to find something to focus on and study other things as hobbies only.

>>11575588
>Lee is coming out with a book that, when combined with his Riemannian geometry text, will cover just as much as Tu.
Damn, that's awesome, where did you read that? I hope he releases it before I study his Riemannian Manifolds one, it'll probably be the natural continuation, right?

>>11575533
>things that you like but not related to your main research
Depends. If you are (one of) the first to tread a path, then you can put interesting stuff into three boxes: relevant now, maybe relevant later, irrelevant now and forever. Progress in research then allows you to move things from the maybe box to yes and no boxes, and so you have earned the time to read them. The irrelevant stuff may be consumed recreationally, but only if you are sure you get enough rest for your brain.
t. burnout pro

Does Topos theory have any applications outside of Alg. Geom., Cat. theory or logic?

>>11575587
I mean, one is diff geo and one is diff top. Both tackle slightly different problems. It depends on what your goal is.

>>11575595
Yeah, it's a continuation of his riemannian geometry text, but if you finish learning about smooth manifolds, Tu is also a good resource that you can immediately dive into. I know about the bundles book because I'm actually a grad student at UW where Lee is a professor at and he talked about it.

>>11574910
Only cowards shy away from the reality of their retardation. It's why I keep all my shit always visible, my failure constantly staring at me and reminding me it was all a mistake.

>>11575602
Pointless topology, assuming you don't consider it logic because of their intimate connections.

>>11575612
Owned

>>11575604
>It depends on what your goal is.
I wanna get a nice basis in manifolds before tackling Complex Geometry.

>>11575602
People are trying to apply topos to computer science.

>>11575616
Please don't call it that. Use the term theory of locales instead. And that's not really an application since it was (I think?) created before the notion of topos.

>>11575622
have you actually read anything yet or are you still just whacking off over book lists

>>11575625
any material regarding that please?

>>11575632
I'm reading on complex analysis right now

>>11575622
Do you know topology? If yes, go read Smooth manifolds right now and stop thinking about other books. If no, go get Munkres and stop thinking about other books. One book at a time anon. Once you finish a book, you'll get a feel for where you want to go next.

I can only do math when I drink coffee, otherwise my mind wanders around a lot.
And now the caffeine is starting to lose its effect.
What do?

>>11575626
The methods you would use for the internal logic of a topos are similar to what you would use for locales, as both are essentially Heyting algebra business.

>>11574958
What did you like? What were you good at? What has more chances of receiving funding if you need it? Who to do it with? Where? These are some of the questions you should be able to answer.

>>11575642
>what do
More coffee.

>>11575642
>I can only do math when I drink coffee, otherwise my mind wanders around a lot.
>And now the caffeine is starting to lose its effect.
>What do?

>>11575000
He's rolling in money doing maths, why the fuck would he do a PhD?

>>11575641
Sirry, I'm too anxious, I keep thinking about all those neat, advanced stuff that I'll be learning in the future

>>11575643
still logic then

>>11575653
Youtube doesn't pay you much nowadays, the golden age was 4~5 years ago.

>>11575657
Yep, that's why I put the assumption that you don't consider it logic there.

>>11575642
amphetamines are the only answer.

>>11575659
It still pays around $6000-7000 for 1M views (depending on the target audience's ads). Not too bad.
https://youtu.be/gpRfSoiBFX8?t=275

>>11575659
>Youtube doesn't pay you much nowadays
maybe not, but he's pulling in well over 10k a month in patreon donations alone
combine that with whatever he does make in Youtube ad money (probably decent, since there's no reason math on a virtual blackboard would ever be demonetized) and other minor revenue streams like his meme shirts and he's doing pretty fucking well for himself

>>11575665
>Finance guy makes $100k a MONTH for 10M views
Fuck, you mtfk wasn't lying when you say we should switch to finance.

>>11575667
Wtf holy fucking shit, meanwhile the people who are actually doing research, people who are actually teaching on youtube complex subjects, people who are moving their fields fowards would be lucky enough to earn half of that every month, fucking normies, I'm so pissed off right now I could punch someone

>>11575683
That's why highly specific textbook for a course is fucking expensive.
My cousin went to a low tier school, and every year the students have to buy a new book and you can only take the exams IF you have the unique key in the sold book.
If you know how to make money you will make money regardless.

>>11575636
https://arxiv.org/pdf/1208.3596.pdf

>>11575683
Behind Numberphile, I think he's the 2nd-biggest math channel on Youtube. Comparing the top YouTube channel to your average shitter mathematician isn't exactly equal ground. The top .1% of mathematicians have huge salaries too. IIRC full professors in the Ivy League (and non-ivy ivies like Stanford) average something around $200K a year, meaning senior ones are making well above even that. And they have rock-solid job security instead of relying on Internet simps to pay the bills.

>>11575700
thanks

>>11575702
My advisor in a mid tier school makes around $180k a year, not counting funding from research projects yet.
I don't think that's a bad deal at all given that all you do is solving puzzles and talk to students.

Since we're discussing math youtube channels, what's /sci/'s opinion on nikolaj-k? I quite like his videos, although his voice is a bit monotone so his videos are a bit boring sometimes tbqh.

>>11575702
Doesn't fucking matter, this guy right here is making more than $10k dollars a month and all he does is make some videos with the letter [math]\pi[/math] dancing around and saying funny stuff, now go on youtube and search for an algebraic geometry course, see how many views it got, that's unfair no matter how you look at it.

>>11575715
>NOOOOOO MOMMY WHY ARE PEOPLE GETTING MONEY FOR THINGS I DON'T APPROVE OF THIS ISN'T FAIIIIIIIRRRRRR

>>11575728
>Hey check this out normies, it's the letter [math]\pi[/math] dancing around and explaining basic mathematics that you all know haha now give me your money

>>11575715
Is this your first time seeing these kinds of thing or what?
Neil Degrasse Tyson makes a fuck ton of money.
Bill Nye makes a fuck ton of money.
Are they contributing anything to science? No.
Science/math popularizer has always made more money. deal with it.

>>11575656
Patience fren, you'll understand the more advanced better if you have a solid foundation.

>>11575736
All I'm saying is that it's unfair and it should change, I'm not a communist by all means, but that's one of the worst things in capitalism, normies dictates who should be successful and most of the times the people they chose are complete jokes

>>11575735
>NOOOOOOOO YOU CAN'T GIVE PEOPLE MONEY UNLESS I SAY YOU CAN I DESERVE THAT MONEY IT SHOULD BE MIIIINE

>>11575735
At least they are cute.

>>11575656
I know that feel anon, but you gotta start somewhere. I spend a bunch of times trying to dive into advanced topics without a proper footing and I got Tyrannosaurus wrecked. Patience, consistency, and time are key.
I'll also second
>>11575745

>>11575752
Hey bro, your idol just posted a new video with more letters dancing around, go watch it like the good boy you are abd don't forget to give him $4 every month he surely deserves it, forget about serious researches, his content is far better for the world, after all how could we survive thus far without his great explanations and letters dancing?

>>11575735
I'll be completely honest with you: I'm a 3rd year phd student at a pretty good institution. I don't need to pay Grant for him to teach me, but I do anyway. Why? Unironically just because he's hot and I have a thing for intelligence and findom. He doesn't know it, but his patreon actually helps me get off pretty often. I just go on there and fantasise about how he actually knows I'm simping for him but he doesn't even pretend to care because he knows I'll keep doing it anyway.

This is the most pathetic thing I have ever admitted to anyone in my life and no one will believe, but it actually feels kinda good to tell someone. The dude could be making way more money on onlyfans too, I would pay him 10x as much for a legit findom session where he takes my paypal login and just splurges on buying things he wants for himself.

>>11575784
Thanks for the laugh.

>>11575784
Thanks, now I feel normal for masturbating on the bathrooms of my uni everyday

>>11575789
lol you're welcome, I don't even know why I wrote all that. I think my point is that he's not in it for the money because he could be making way more as a male dom without even having to do anything sexual or IRL (and of course, if he actually went hardcore and/or niche... I would pay him to teach me mathematics while he's just chilling with his cock in my ass, fuck)

>>11575797
I jacked off in an aisle at my (undergrad) uni library once. I went in on a Saturday to check something out and there was nobody else on the entire floor, so I figured hey, why not.

and fuck it, while I'm letting it out: Brady's accent makes me melt and although he's not as conventionally attractive as Grant I would also pay him good money for nudes

>>11575813
Brady is actually fk cute though.

>>11575784
I wonder if anyone is gonna cap this and send it to his twitter, or during his next live stream type this into the chat
>>11575813
You're into chunky guys anon, nothing to be ashamed of.
>>11575797
>>11575812
I want to ask, do you guys also jack it while doing homework problems? Or at least rubs yourself a bit? I wonder how many others do the same.

>>11575812
Well, while we're at it, I masturbated on the bus once, there was no one, so I hide my dick below the window and did it rrally fast, it's been sometime though

>>11575826
>I want to ask, do you guys also jack it while doing homework problems? Or at least rubs yourself a bit? I wonder how many others do the same.
I developed the habit of rubbing my dick while watching online lecture recently. Not jacking off of course, that would make me lose focus.

>>11575826
>want to ask, do you guys also jack it while doing homework problems?
Homework? Nah, nowadays I don't, but when I was in high school I used to masturbate to IMO problems solutions sometimes

>>11575784
>>11575812
>>11575813
>>11575824
>>11575826
>>11575831
>>11575834
/mg/ in a nutshell.

>>11575840
There's no mention of crippling deppression or Mochizuki in those posts, so I disagree. Pretty close, though.

>>11575826
>You're into chunky guys anon, nothing to be ashamed of.
Not really, Brady is an exception... He's just so dumb and cute that it makes me want to feel the contrast in the bedroom, like pin me down and rape me while you bully me for being a poor mathematician beta while you make big $$ on youtube as a dumb cute ginger idiot hnnng

>I want to ask, do you guys also jack it while doing homework problems? Or at least rubs yourself a bit? I wonder how many others do the same.
Constantly. I even rest my hand inside my pants just mindlessly fondling myself.

>>11575813
>>11575824
I like short-haired Ben more to be honest. Looks pretty cute and warm.

>>11575844
Those posts are the nut, depression and Mochizukification is for us empty shells,

>>11575834
>>11575838
>>11575852
I feel a bit better knowing I'm not the only one who fondles himself while doing math.

>>11575854
I can't name names because I'm afraid of doxxing myself because of youtube comments, but there's this one person that Brady brings on the channel that you would NEVER expect someone to be attracted to and yet I want them to rape me too...

>>11575863
Liar, you probably felt you were the only one and that made you feel special somehow, but now you realize all of us do as well and you're probably feeling like a normie
Hahaha sucks huh? You're not a special snowflake, you're normal, NORMAAAL

While we are on this topic, who do you think is the hottest male mathematician ever?

>>11575887
Maybe not ever, but Scholze is pretty fuckable, ngl.

>>11575887
Galois

>>11575887
If phycisists are allowed, Louis Slotin is kind of cute and I imagine him as a total alpha in bed.

Grant is obviously up there, lol

Tao isn't super hot but I'm curious to know what he's like in bed

And if you're accepting computer science, Turing could get it

Off the top of my head I can't really name anyone else

>>11575897
I can see what you mean but he should cut his hair.

>>11575902
this

>>11575887
young gothendieck was handsome, but after he hit 30 he shaved his head and turned into gollum.

collapse the wave

>>11575902
he looks like an anime character

>>11575887
Deligne. There is so much youthful optimism in his eyes it's amazing to look at him.

>>11575826
>jack it while doing homework problems
Not really in the way that brings me to orgasm but the stress usually compulses me to touch myself. It's very hard to control.

>>11572650
I found this very good talk that is approachable from someone who has high school level math like that OP.
>https://youtu.be/z_75zzqXVnM

>>11575538
Stunted growth. I was the shortest kid out of 160 people every year, up until year 9. Even now i'm only 5'5, but its taller than i ever thought i would be

>>11577002
A real pygmy!

>>11577002
Ara ara~!