/sci/ - Science & Math

How do you learn to write in the tone used in math papers?

>>11563589
Read math papers, write math papers.

>>11563662
become math papers

>>11563589
Try to be as dry, uninteresing, unmotivated, obtuse and belittling as possible.

>>11563589
Do you hear the voices in your head? If not, then develop a tulpa. That way it will be more natural to write "we" instead of "I", as you will no longer be alone. Other than that, read some textbooks and especially the papers.

>>11563765
Based and tulpapilled.

>>11563589
Just read math papers.
But only well written ones. I know this isn't much of an answer, I'm sorry.

What are the pre-requisites to Algebraic Topology and Algebraic Geometry?

We need to put an end to the people who use the term 'maps' instead of 'functions' when they are the same fucking thing.

>>11564057
A brain.

>>11564057
For algebraic topology:
>group theory
>topology
For algebraic geometry:
>commutative algebra
>topology
>autism

>>11564073
There's this page
http://jeff560.tripod.com/mathword.html

which at least says
>MAPPING. This term is a translation of the German Abbildung (illustration, drawing, map, etc.) whose use as a mathematical term can be traced back to Riemann and Klein.
>The term—in German and then English—was originally confined to geometry as e.g. by F. Morley “On the Geometry Whose Element is the 3-Point of a Plane,” Transactions of the American Mathematical Society, 5, (1900), 467-476. Morley refers to the notion of mapping in S. Kantor “Ueber eine ein-dreideutige ebene Abbildung einer Fläche dritter Ordnung,” Journal für die reine und angewandte Mathematik, 95, (1883), 147-164.
>Later the term was used more abstractly as e.g. in H. P. Robertson’s 1931 translation of H. Weyl’s Theory of Groups and Quantum Mechanics p. 110 “A mapping or correspondence S ... is determined by a law which associates with each point p of the field a point p' as image.” (cited in the OED). In the original Gruppentheorie und Quantenmechanik (1928, p. 97) Weyl had written “Eine Abbildung S ...”

There's also a long entry on FUNCTION
and a long Wikipedia article on the concept as well (also historically and in relation to set theory)

I'm unsure if that's satisfying, but I'd say there's a lot of such instances.

>>11564089
Germans are absolute shit for naming stuff.
>rings
>field = body

>>11564087
>autism
Why? Isn't AT even more autistic?

>>11564103
What led you to believe that?

>>11564105
Because Topology is already autistic

>>11564094
I don't see the issue.
But whatever, it's not a fruitful topic to discuss anyway

>>11564103
wtf dude algebraic geometry is a hundred times more autistic

What do you think about Alon Amit on Quora?

>>11564087

> homological algebra
> non-commutative algebra
> representation theory
> group theory
> combinatorics
> differential geometry
> complex analysis
> algebraic topology
> k-theory
> category theory
> (I know some overlap or else)

last but not least

> autism

inb4 the absolute entry list

>>11564121
Wtf you need to know all that before learning AG?

>>11564087
>group theory
Not ring theory?

>>11564119
>What do you think about Alon Amit on Quora?
literally who

>>11564057
>Algebraic Topology
Algebra
Topology
>Algebraic Geometry
Algebra
Geometry

>>11564134
the irony is that you need very little topology for AT and literally no geometry for AG

>>11564126
Seems like a reasonable prerequisite. BTW use Grothendieck EGA as a good elementary introduction on the subject before taking an AG class, and I would also recommend reading SGA.

>>11564142
Why would I read such an old book when there are new ones with more modern subjectives and intuitive presentation?

>>11564141
Genuinely never did anything related to geometry in my AG class. It was litteraly just commutative algebra 2: electric boogaloo

>>11564142 #
Why would I read such an old book when there are new ones with more modern subjects and intuitive presentation?

>>11564148
They weren't written by Grothendieck, that's why.

>>11564155
Would you rather read University Physics by Young and Freedman or the Principia by Newton when learning mechanics?

>>11564152
>commutative algebra 2
Wtf is that what algebraic geometry is? Damn, this is disappointing, my LA teacher said that AG was LA but about curves

>>11564159
I'd rather not read any of the two because physics is gay af

>>11564164
After the 50s, there's been no difference between mathematics and theoretical physics, you could even say TP is a subfield of math nowadays

>>11564169
>you could even say TP is a subfield of math nowadays
Obviously all of math is a subfield of TP

>>11564169
Worst post I've seen in months. You should be ashamed. SAD!

>>11563549
Question to prove that you're not a retard:
prove how sin2a-tana=cos2atana

>>11564128
We present the conjecture that coefficients and cup products are too hard for that poster.

>>11564161
If you keep it simple, algebraic geometry is basically those curves and stuff. You have some nice space like for example [math]\mathbb{R}^2[/math], and then you are interested in sets that can be written as zeroes of polynomials. Well, what if we take these polynomials: [math]x^2 + y^2 - 1, x^2 - y, x-y \in \mathbb{R}[x, y] [/math] and consider their respective zero sets? Those will be precisely the unit circle, a parabola and a line. So, even on a level this extremely basic, there is an intimate connection between polynomials and curves and circles. If you then go deeper, there will be more advanced algebra and at some point you will go full Nick Land, but instead of accelerating you reach a posthumanist hyperautism singularity where abstraction itself becomes conscious and you will eventually have to escape it by becoming a hermit on your local mountain range, but you can't call it "local" nor "range", as those will only torment your burned brain even more by triggering the PTSD caused by alg geo. But yeah, there will be a lot of commutative algebra involved even if you just scratch the surface.

>>11564192
Saaaauce

>>11564201
I prefer the original ketchup by Heinz, but I also like the Blue Dragon sweet chilli sauce (light, since no desire to be chubby).

Those are my reading for the quarantine:
>How to Prove It, Velleman
>Abstract Algebra, Dummit and Foote
>Analysis, Terence Tao
>More Math into LaTeX, Gratzer
>Ordinary Differential Equations, Tannenbaum
Rate.

>>11564205
Image goddammit

>>11563620
Looking more into it, it's kind of written like a casual textbook. It's a lot of slow going algebra, often with quantum statistical language, and then in chapter 5 it's applied to generative models.
Here's a short interview where the advisor is interviewed

https://youtu.be/hZfLEX6d-Dk

>>11564174
https://dsweb.siam.org/The-Magazine/All-Issues/vi-arnold-on-teaching-mathematics

>>11564206
Good if you actually read it, not just plan it.

Is there any math book that would actually harm your ability?
I'm curious.

>>11564206
This is garbage, and a terrible list.

>>11564235
I'm already 1/4 through Velleman's, I want to finish it in the next 2~3 weeks, then I'm going all in on Algebra and Analysis. ODEs and LaTeX are lighter, not so important reads.

>>11564234

>>11564239
You're garbage and I bet your list is worse than mine

>>11564250

>>11564251
My list:
>The Holy Bible
>Elements of Mathematics, N. Bourbaki
Fuck you

>>11564268
>Reading fantasy instead of studying
End yourself

>>11564206
Dummit & Foote is more an encyclopedia than an actual book to learn from

>>11564258
Try Kaguya-sama wa Kokurasetai and stop being rude.

>>11564273
This. You may even end up believing mr. Bourbaki existed.

>>11564273
All real mathematicians are religious, tranny. Also I don't need to study, I prefer relying on my own intellect than on some dumb cunt's lecture.

>>11564276
How so? Everyone here recommends D&F as the main text for learning algebra, look on warosu, you're the first one I see saying that it's encyclopedic

>>11564273

>>11564281
Herstein is the /mg/-approved text to learn abstract algebra, anon

>>11564288
>not Gorodentsev

>>11564280
Let's this analysing the relevant mathematicians from the last, shall we?
>Newton
Religious, crazy fanatic who even predicted the world to end and actually believed in alchemy
>Euler
Not religious
>Gauss
Not religious
>Riemann
Not religious
>Galois
Not religious
>Fermat
Not religious
>Pascal
Religious
Hum, oh well, what about more modern mathematicians?
>Gödel
Not religious
>Grothendieck
Not religious
>Terence Tao
Not religious
>Scholze
Not religious
>Mochizuki
Not religious
>Einstein
Full on atheist

So?

>>11564295
His book is not an introduction.

>>11564190
fuck off, we won't do your homework. also learn how to write

>>11564280
>tranny
Why the transphobia?
t. different anon

>>11564245
good, good

meta:
Those threads are now at 10-15 posts per hour, this is a bit too fast imho.
You guys think a /mg/ every second day is good?

>>11564288
What are the general thoughts on Jacobson? I've been going through it and have found it to be quite good.

>>11564309
I strongly urge you to commit suicide.

>>11564288
Someone should just update Herstein's notation already, it's the only reason I don't use it, I'll never get around his notation for equivalence classes, yikes

>>11564298
It's almost as if the religious person doesn't know how to think rationally...

>>11564324
I tried reading it, but I just couldn't keep up, it's really tough, definitely the hardest book on algebra that I tried to read. Even my algebra professor said that after some parts he couldn't even understand it very well kek

>>11564332
(I'm referring to I, not II, sorry)

>>11564327
Just look at this shit, who the fuck uses Cl( ) as a notation for equivalence classes? Wtf

>>11564325
Why? I may if you give good enough reasons.

>>11564327
Herstein has the cute part where he is proving Sylow's theorems and he is so excited he is writing stuff like
>now look at this!
He made me smile and hug my teddy bear when I was reading his book back in the days.

>>11564339
>who the fuck uses Cl( ) as a notation for equivalence classes?
This might surprise you, but Herstein.

>>11564346
>This might surprise you, but Herstein.
You ok with that? I don't hate his book, it's a great book, but it's a primitive notation, it's like going to the cinema and the movie is in 240p, would it still be a good movie? Yeah, but you wouldn't experience the best out of it. Ara ara.

>>11564355
I haven't touched his book since 2015 or something, so currently I am ok with that. I don't remember if I was ok back then. Maybe I just turned it into [ ] in my mind or something. Who knows? Not me.

>>11564281
>Everyone here recommends D&F as the main text for learning algebra
D&F is the pleb option, it caters to the lowest common denominator

>>11564366
You don't read algebra books anymore? What if you forgot something?

I'm using Aluffi, while reading some parts of Herstein, Aluffi has such a great and modern notation for everything, it's also so clear and he usually puts some little jokes in the book that makes me smile from time to time, heh.

>>11564298
Literally every single one of those people were religious or they believed in some sort of a God.

>>11564397
>You don't read algebra books anymore?
I used Herstein when I was studying groups. Nowadays I have different books.

>>11564410
What are those books? Are you a PhD?

What does it take for a person to be a mathematician? And what does it take for a person to be a good mathematician?
And when did you guys started getting good at math? I was extremely excellent in arithmetic math when I was 9 or 10 I even won an award in it, but in middle school and highschool I sucked at it so bad because of many social reasons, and it feels like I'll never be good at it. But I'm trying none the less

>>11564430
>I sucked at it so bad because of many social reasons
The words of an idiot.

>>11564401
>Einstein
>Religious
>It was, of course, a lie what you read about my religious convictions, a lie which is being systematically repeated. I do not believe in a personal God and I have never denied this but have expressed it clearly. If something is in me which can be called religious then it is the unbounded admiration for the structure of the world so far as our science can reveal it.

>>11564430
Read 'Mathematics: A Very Short Introduction' and 'How to Study as a Math Major', it will be easier for finding the answers you're looking for in those books than in this general. The latter even adresses the question of 'should I give up? I'm trash at math' in its later chapters.

>>11564422
>What are those books?
On algebraic stuff:
>Isaacs - Finite Group Theory
>Pierce - Associative Algebras
>Brown - Cohomology of Groups
>Lam - A First Course in Noncommutative Rings
>Rotman's book on homological algebra
>Are you a PhD?
At the moment, yes. When the quarantine is over, I'll probably drop out. Too much stress. It's not only affecting me mentally, but it is already causing physical problems like heart stuff and constipation etc. At least I tried.

>>11564443
Fine, I can post one counter example. In that list Gauss was mention as non religious which is in fact wrong. He was a Protestant, a member or a church, and his quotes and writings he clearly believed in something.

>>11564453
Damn, that's sad to hear, I don't know about your condition, so I can say is hang in there, you can do it, you've already got this far, take those quarantine times to relax and keep going until the end, just think about how many oportunities will appear after you finish your PhD, you'll be standing together with the giants. I hope I get there someday. Thanks for the books recs.

>>11564453
How old are you? What's causing you so much stress at the PhD program exactly?

>>11564483
>after you finish your PhD
>you'll be standing together with the giants.
Not to be a pessimistic Nancy, but there's no guarantee that will ever happen, though I do hope he takes our advice to heart.

>>11564446
>The latter even adresses the question of 'should I give up? I'm trash at math' in its later chapters.
What pages? I can't find it.

>>11564504
Starting from chapter 12, it's written in the fucking introduction man

>>11564430
I was unironically shit at math until the very last semester of high school. Linear algebra is what got me interested in math.

>>11564483
Thanks. I'll try to keep going. A side note: Isaacs' book is really nice if you want to get into finite groups. I like them more than infinite ones, as you can play with Sylow stuff etc.

>>11564494
27. I don't know why, but for some reason I just hit a total brick wall. I was making a lot of progress, but now I can't do anything. I am really struggling with even the bidegrees in spectral sequences. For my current self, it was a heroic feat to compute the cohomology of some very elementary groups.

>>11564503
Is pessimistic Nancy the sister of negative Percy?

>>11564011
I feel like there is something big in computation theory waiting to be uncovered.
Not necessarily by mathematicians, though.
Seems more like physicists will end up doing it, if they aren't blind.

>>11564453
>Too much stress
w-will I be able to do it, /mg/?

>>11564521
I read chapters 12 and 13 in full and they do not answer that question at all. It's just pandering and motivational speaking, "you can do it champ, go get 'em, it's normal to be overwhelmed in uni". Any answer to "Should I give up?" that doesn't even contemplate the possibility that maybe yes, you should, is automatically worthless.

>>11564531
>Not necessarily by mathematicians, though.
Not necessarily it's likely as mathematicians have always been at the farthest edge of research. Michael Freedman, for example is working on Quantum Computers at Microsoft. He won a fields medal for some topology related stuff, and now he's a perfect fit there since they're working on topological qubits.

>>11564537
You're just trying to find justifications for your lack of motivation, you're not trying to achieve success despite the odds, you're just trying to find ways to cope with your procrastination. In other words, you're the worst kind of scum, just give up them and live the rest of your life thinking 'what would have happened if I had made more effort in order to succeed at that time?'. Pathetic.

>>11564532
We're all gonna make it, brah

>gf broke up with me a week ago
>couldn't do anything other than stay in bed for that week
>today posted a pic with another guy
>seems quite happy
>i'm already forgotten apparently
>gets even more depressed
I'm gonna spend this entire fucking quarentine depressed as fuck and not study anything. This is why mathematicians shouldn't be allowed to date, now instead of use my mind to study useful problems, I'm gonna spend those precious days lying in my bed, on my dark room, browsing 4chan all day, fuck women, we, men of STEM don't need them, from now on I'm celibate

>>11564544
I wasn't really thinking in the direction of quantum computing, although it certainly also plays a role.
It simply looks extremely likely that we, ourselves, are computable, and I'd love to see (more) proofs in that direction within my lifetime.
Conway has unfortunately left us, so he will miss out on those "groundbreaking discoveries". It's a shame.

>>11564532
You will. Be stronger than I am. Otherwise I will find you and I will show you pain beyond the descriptive capabilities of any human language. You think you know cosmic horror? That is nothing compared to what you will experience if you drop out.

Bayesian statistics is pseudomaths (the mathematical equivalent of pseudoscience). Prove me wrong. Protip: you can't.

>>11564153
>Why would I read such an old book when there are new ones with more modern subjects and intuitive presentation?
Still SGA is The reference material for AG, but most people just need some part AG not whole package(Over 6000 pages french math)

>>11564600
>Bayesian statistics
Not even wrong.

>>11564588
At which age did you finish undergrad?

>>11564626
Bachelor I think 23, masters 25. I'm not even sure. Something like that.

>>11564630
Fuck I'm 23 and still halfway through undergrad, I'm fucked

>>11564600

>>11564527
>but now I can't do anything
Get yourself checked.
Could unironically be a brain tumor.

>>11564641
You must be a very sad and despicable person to wish for someone to have brain tumor, fuck outta here

>>11564636
It's literally just a framework for encoding unfounded assumptions.

>>11564634
You can. If even I could do it, then surely you can. Just stay resilient. Don't overburden yourself. Don't let some difficult problems crush your spirit. You can do it. I think I'll try to be a good mentor now and not give up yet, or else this post will be quite ironic. Why do you think your age means so much? Do you have some mental problems like depression, something psychotic, eating disorders etc? If not, then you should at least be able to make it. Don't give up. No is not the time for fear, that comes later. You will make it, I will make it, my tumor will make it but only after I have made it. Sounds like a plan? Yes it does, thanks for agreeing with me.

>>11564641
I don't think it's anything physical like that. However, if it is, then I'll at least get a big brain before I die, right?

>>11564679
>Do you have some mental problems like depression, something psychotic, eating disorders etc?
Unironically I do, that's what fucked me, I started at 18, then after 6 months I dropped and became a NEET for 3 years, then started again and here I am now. I'm thinking of going to a psychiatrist after the quarantine is over, taking meds was the last thing I wanted to, but I guess I have no choice now if I truly wanna make it. We're all gonna fucking make it, brahs

>>11564679
>I don't think it's anything physical like that.
I wasn't thinking that either. Was considering computer addiction and shit like that.
Turned out it was a tumor in the end, after years of struggling with myself.
Feels so stupid in hindsight.
I'm not saying that you certainly have one, or that it's not your own fault, but please also consider shit that is not your own fault.
STEM people will keep looking for a fault with themselves until it's too late. Don't be one of those.

What's the point of avatarfagging?

>>11564704
Are you cured my dude? Did your cognitive functions came back to normal adterwards?

>>11564700
>Do you have some mental problems like depression, something psychotic, eating disorders etc?
>I do
Is this the kind of people that study math? Do you turn to math because you have these problems somehow, or is it because you turned to math that these problems are caused? Or is it a vicious cycle that keeps feeding on itself? Now I'm scared of studying math.

>>11564717
To make oneself stand out from the rest i.e. becoming famous

>>11564704
>Turned out it was a tumor in the end
Dude what the fuck? That doesn't just happend like that, does it?

>>11564720
No, it had nothing to do with math, if I have to blame something it would probably be my completely unstructured family, I've been through a lot of shit because of every single one of them and I'm still having to put up with them even now. Aside from that, the bullying I've suffered at high school and at college probably made things even worse.

>>11564700
Don't be stupid, ok? Get help if you think you need it.

>>11564704
It would actually be nice if I had one. Then I could blame everything on that. My problems are more on the mental side, though. Stress, anxiety, self esteem and sleep deprivation. Like the other anon asked, did you recover from it? I don't know about tumors and stuff.

>>11564531
I have the same feeling. It's also worth noting that there are several things at the intersection of CS, math, and even physics, philosophy, and logic that are very interesting and closely related.
Some of the deeper developments in cryptography and arithmetic geometry are closely connected to both (1) work in algebraic geometry, number theory, and Langlands program, and (2) model theory, logic, and what might loosely be called "structure theory" in algebra. Basically, this is a deep connection between information processing/representation in cryptography/computer science, the relationship between geometry and algebra in mathematical physics, algebraic geometry, and group theory, and finally the concepts of structure, composition, homomorphism, etc. that the logicians and cat theory types work with.
There is something really deep going on here, but I don't think any human being has ever even gotten close to seeing the big picture. All I can say, as someone with very little authority on the matter, is that it appears to be deeply connected to traditional philosophical notions surrounding representation, Platonism, scientific realism, and the very concept of a "scientific" model. It seems like in mathematics, there can't be any notion of an ontologically "fundamental" or "primitive" structure. Everything is determined by relationships and functions within larger structures. One cannot postulate a circle or shape on its own, in isolation. Along with a shape, comes incidence geometry, and from that one finds a doorway into a world of all sorts of universes, affine and projective, Euclidean and otherwise. And as soon as one has presupposed a geometric space, they already have everything they need to do algebra. Reversing the process, we begin with Peano arithmetic (in fact, Pressburger will sufice for many purposes), and within this little system for natural number arithmetic, we already have everything we need to do real analysis.

>>11564721
No one actually knows who they are irl anyway. I don't get pursuing fame in general, and I don't get pursuing fame on an anonymous board even more.

>>11564729
>bullying in college

What happened to you anon? I haven't seen much bullying in college desu.

>>11564729
>unstructured family, I've been through a lot of shit because of every single one of them and I'm still having to put up with them even now.
>the bullying I've suffered at high school and at college probably made things even worse.
I'm in the same boat, but it does happen overwhelmingly to STEM fags. You can't just say there's not a connection there

>>11564717
trannies

>>11564718
>>11564725
I'm fine. Some irrepairable damage was done, but nothing that will severely impede my life.
It happens just like that. Seriously. Was finally detected when one day I suddenly got doppelbilder.

>>11564734
>It would actually be nice if I had one.
No, it wouldn't be. I'm just saying that if you have made sure, there is nothing wrong with the way you work, you may want to look into health reasons.
If you did so, you did everything right.

Hey sci, i have a math challenge,
so I was watching youtube, and supposedly one guy estimated the Entire weight of ALL of humanity.

Now it was an esitimate, they took every country, the population of every city, how many men, how many women, how many elderly older people above 70 to above 100. How many toddlers, children, preteens, teens, young adults, adults, and middle age people.
The average weight of adult men and adult women.
How many obese people, over 300 pounds?(There are a lot of fit weight lifters, strong men
above 200 pounds.)
There's the earth population of about 7.8 Billion now.
So They did all the calculations, used a lot of averages, and estimates.
And came out with the total weight of ALL of humanity.
Supposedly it took them a couple weeks to calculate it.
But they deleted the info...I know.

So How much is the (average estimated) weight of ALL of humanity sci?

>>11564755
It's a 'passive' kind of bullying, I managed to make some friends, but they tend to treat me as some kind of clown, maybe my personality is just unlikeable to people, it happens everywhere. For instance, the picture of the whatsapp group of the mathematics course at my uni is an edited pic of mine doing some funny gesture. Pisses me off but if I say something it might get worse.

>>11564769
I'm also the laughing stock there, especially if I get a low grade.

>>11564765
632 billion pounds

>>11564780
>pounds
In English please

>>11564769
I don't mean to put you down, but are you sure they actually want your company? because people often do this kind of low-key "bullying" when an autist keeps talking to them and can't take a hint.

>>11564761
I checked the symptoms, no epilepsy, no headache, no unexplained loss of consciousness, no morning vomiting, no loss of eye sight. I think I'l probably just need to take a break. A real break. It's just so hard. Good that you are fine though, although it would be better you were totally restored.

>>11564765
>So How much is the (average estimated) weight of ALL of humanity sci?
72 kg is my guess.

>>11564769
At least you will get rid of them when you graduate. Undergrad time is like being in a zoo sometimes.

>>11564790
I realized that long ago, nowadays I barely talk to anyone there, the problem is that I have to meet those people in the classes, corridors and on the library all the time.

>>11564801
>At least you will get rid of them when you graduate. Undergrad time is like being in a zoo sometimes.
I'm already planning to do a masters in another state, but I'll need to save a lot of money for that.

>>11564765
>>11564780
>>11564801
I forgot to add how many babies were born each day, and the average weight of babies.

But clearly people aren't going to try to get an a precise estimate.

>>11563549

Please peer review the Riemann Hypothesis proof.

>>11563735
Actually IMO papers and monographs tend to exhibit a better and more engaging writing style than math textbooks usually do. Of course, it varies a lot between sub disciplines, but actual journal articles tend to include more historical commentary, motivation, and tend to get to the point without a bit quicker.

That being said, even journal articles and monographs aren't much better. Unfortunately most mathematicians aren't very good writers, and it seems like a lot of them like it that way. It's not necessarily the majority position within the world of mathematics, but I would say a lot of people actually support or approve of a very dry, terse, unpassionate, and unmotivated writing style. They think it lends "rigor" and that "real math" consists of proofs, definitions, and theorems. Of course, there are many mathematicians who disagree. From my perspective historical continuity and dialog are just as import to mathematics as so-called "rigor". Some mathematicians like Paul Halmos and John Conway really are great and a pleasure to read.

The position we find ourselves in is kind of unfortunate. I once heard someone remark that math papers aren't meant to be widely read, even by a general mathematical audience. That they serve only to provide a record of who, when, and how a theorem was proved, as it were. This is a very unfortunate, and more importantly, unnecessary state of affairs. I am somewhat conversant in academic math, academic philosophy, and academic biology. Obviously any discipline will have its dull points and uninteresting topics, but only in math in math do we see such a large quantity of unreadable and uninteresting papers. The situation in biology and philosophy is different: one can open almost any journal, monograph, or anthology and find numerous articles worth reading.

>>11564814
>A simple proof for the Riemann Hypothesis
Hum, where did I hear about that before?

>>11564819

Show me where I made an error.

>>11564813
Just to clarify: is this average meant to be the average total mass of all humans at a given moment like say
>on average there is 9000 tons of anthropic biomass on the planet
or the average mass of a human being? That's what my 72 kg was meant to be.

>>11564814
Very good. I enjoy how you use the correct spelling "Reimann" instead of the pleb version "Riemann".

>>11564810
Or maybe on a different continent altogether! Maybe there is some nice medieval city somewhere in Europe where you could get a funded or just cheap position. Then you would get a nice new start from that. I don't know how it works for you burgers, though, so that may just be dumb optimism.

>>11564832
>Bernard Reyighman
I don't think so, hoze.

How much does the ability to solve IMO/Putnam math problems reflect your ability to do your research in Math?
Do you know anyone who aced tons of tournaments but failed in research?

>>11564842
All fields medalists up until now were gold medalists in the IMO. If that's not saying something, then I don't know.

>>11564842
I know a lot of people who participated/had medals in IMO and pretty much everyone of them is currently a very good student/PhD, except for some who lost interest in math and decided to take a different career path.

>>11564769
It's kind of just a guess on my part, and I don't have a lot to go on here, but it sounds like (1) they're either just joking around and being friendly, but you're taking things too serious and getting offended, or (2) you're right and they actually don't like you. This would most likely be the case if you frequently bother them or insert yourself into social situations in which you're not welcome.

>>11564847
Oh shit I didn't realize that. If I have to guess, cranking your brain under time pressure does help with improving your brain with math.

What are some good books if I want to get into TCS?
I'm currently doing some applied shit (with some light theory in between) but I also want to take a bite of TCS in my free time.

>>11564838
My bad, sorry. I sometimes typo Bertrand Rainman.

>>11564206
>Tao's analysis
I puked a little.

>>11564863
There are really a few different areas of TCS. I would say the main one are recursion theory/traditional TCS, cryptography/applied math, and modeling.
In my opinion, recursion theory is pretty boring except for the entry level Godel/Tarski/Turing type stuff. If you don't already that stuff, it's where you should start, but like I said, I don't think it's actually the most interesting area of TCS. After you understand the basics about recursion, decidable sets, formal models of computation, etc., you can move on to the interesting stuff in cryptography and the theory of models ("theory of models" is a term I just made up and doesn't actually related to Model Theory) . Cryptography draws on a lot of tools from analysis, algebra, combinatorics, and number theory, and it's really interesting, but you need to know a lot or math. The "theory of models", as I have unconventionally termed it, is really interesting, especially if you aren't necessarily concerned with traditional math, but more so empirical science and philosophy and stuff. By "theory of models" I mean a catch-all terms for studying the models of natural and social phenomenon. Stuff like game theory, dynamic logic, epistemic logic, agent based modeling, replicator dynamics, evolutionary game theory, etc.
In the world of cryptography, I think an interesting place to start would be with the Theorem on Friends and Strangers.
With respect to theory of models, I would suggest looking into the Muddy Child Problem or the Hawk-Dove Game.

>>11564346
>He made me smile and hug my teddy bear when I was reading his book back in the days.
Were you really young or really gay?

>>11564905
What? Why? His book is great

I have a question that I can't really wrap my head around.

Say you're modelling the basic 2D wave equation; u_tt(x,t,y) = u_xx(x,y,t) + u_yy(x,y,t) + f(x,y,t), f being a source term.

If you incorporate homogeneous Neumann boundary conditions, you get full reflection of the wave all across the boundary.

My question is, does this cause the solution u(x,y,t) to grow towards a constant value (or even without bounds)? Because of the perfectly reflecting boundary, no energy leaves the system, however energy is introduced by the source term. Also there's no diffusion terms in the equation, so energy shouldn't dissipate away either. However I expect the solution to simply oscillate back and forth around a constant "mean value" so to speak, not to oscillate around a growing mean value.

>tl;dr: Does the solution to the 2D wave equation with perfect reflection along the boundary (homogenous Neumann BC) cause the solution to grow to some constant value, grow without bounds, or should the solution tend to zero?

>>11564924
Anything wrong with being gay?

>>11564944
Nothing wrong with being gay as long as you aren't promiscuously flaunting your sexuality in public, like many gays do, and you aren't pushing for political "reforms" and "tolerance" in the form of censorship or mandatory LGBT sex education in public schools.

>>11564453
How about anothe PhD?
And can you take off for half a year?

>>11564600
I think decision theory is closer to physics than it is to math.

>>11564548
Do you want to help or shit on the people who are doing the worst? Make up your goddamned fucking mind and be consistent, for Christ's sake.

>>11564924
No.

>>11564952
>pushing for political "reforms" and "tolerance" in the form of censorship or mandatory LGBT sex education in public schools.
Yeah, because gays must be ignored and remain suffering verbal and physical. agressions from ignorant people. Fucking retard.

>>11564958
I think I'll try to get something done before my talk with my supervisor, and be prepared to admit I have nothing, should that be the case. Then I'll take the weekend off to recharge my batteries a bit. No stopping now. I can do it.

>>11564960
You can't help someone that doesn't want help. Life is quite simple really, you're either born with a high IQ, an average IQ or a low IQ. The latter is just as rare as the first one, but if you're average then it's all up to how much effort you'll put into it if you want to succeed. He doesn't want to put effort in anything, therefore no one can help him.

Recommend me something fun to read / study. I have literally infinite time, especially now I can't go outside.
t. finished undergrad then became a neet

>>11564562
>we, men of STEM don't need them, from now on I'm celibate
And you need to go through that shit to come to that realisation? Pathetic. You didn't conclude this from empirical evidence and deduction because you were entrapped by pussy, and now that you're predictably heartbroken you come to the maladapted incel virgins for sympathy and belonging. Go fuck some snank from Tinder and leave us alone, Brad.
And if you ever feel like complete shit, just remember that least she's happy, and that she wouldn't have been ready for the wonderful guy she's with now if it weren't for you.

>>11564982
Get a copy of Fuchs-Fomenko.

>>11564982
Complex Manifolds

>>11564971
if school children not being exposed to the details of shitfucking up the shithole or fisting constitutes being "ignored and remain suffering verbal and physical" maybe you should grow a thicker skin you absolute faggot.

>>11564995
90-fucking-dollars holy moly what in the actual fuck pal? And it's even paperback, you can go fuck off right now holy shit

>>11565000
Do you even know what sexual education is all about, you imbecile? No one is teaching children to put their penis in someone else's anus.

>>11564978
there's S. Worlfram ranting about his theory atm btw., if someone is bored

>>11565008
cope. you just want to gays in school to talk about showing cocks up the anus. homosexuality is completely fringe and a rare defect (if it actually isn't the result of child abuse, a very credible theory). teaching children about the practices of homosex which the vast majority of normal people find absolutely repulsive is equivalent to teaching children about the technicalities of beastiality, necrophilia, fisting or scat.

>>11565005
Just download it. Kids nowadays...

>>11564952
How is reading a book with a bear related to this? The connection may be obvious to you, but I can't see it.

>>11564944
Did I say there was? I was just asking a question.

>>11565024
Your post has no basis in medical studies, no regard for the word of the WHO, ignored completely the statistics about how the population perceives LGBTQI+ people and has outright offensive and problematic lies. Bit I'm sure you're trolling, fanatics like you would never be able to post on this board.

>>11564721
>becoming famous on a math general on a cambodian basket weaving forum populated by a dozen of autists
ah yes, fame.

>>11564923
Thanks. Those all sound interesting.
>With respect to theory of models, I would suggest looking into the Muddy Child Problem or the Hawk-Dove Game.
I will take a deeper look at this.

>>11564995
You're the guy doing the PhD right? Did you read it? Would it be a good intro to algebraic topology?

>>11565040
Plenty respectable mathematicians visited and still visit /mg/, among those I can cite:
>Verbitsky
>Scholze
>Tao
>Mochizuki
>Avila
>Axler
>Conway
>Yukariposter

>>11564981
>You can't help someone that doesn't want help.
You're just completely offloading responsibility, because helping such people is usually really hard. You people also never consider helping them achieve a state where they would want help.
>it's all up to how much effort you'll put into it if you want to succeed
This is a really simplistic view of the problem, but you don't to read my shit, do you?
>He doesn't want to put effort in anything
Just want things, dude! Just stop being sad! Be confident bro! Work superhard! Be yourself! What do you mean you're diabetic? You just don't have a strong enough will to just produce insulin. Go die, you animal.

>>11565049
>Axler

>>11565036
>medical studies
Worthless. Have you actually read them?
>WHO
lmao
>trusting statistics done by social "scientists"
>using "problematic"
I want to buttfuck femboys, mind you, but this is extremely weak.

>>11565049

>>11565043
Not him, but it would be a good intro to algebraic topology, yes. A bit unorthodox, since it does a lot of homotopy theory first, but it's the cool stuff so it's okay.

>>11565043
Yes, yes, probably yes. There is also spectacular artwork in it. I recommend checking it out.

Good night!

>>11565036
>>11565036
>no regard for the word of the WHO
controlled biased authority.
>ignored completely the statistics about how the population perceives LGBTQI+ people
nah most people just won't admit to it, or never think about it but would find the bedroom practices of homosexuals disgusting. this is a fact. even more so dilating trannies or pedophiles or necrophiles (included in the +).
>outright offensive and problematic lies.
not an argument. For most people teaching young children how to do an enema so they can get their shitholes stretched out and have to wear diapers by 35 is more offensive.
>fanatics like you would never be able to post on this board
lmaooo is this your first week outside reddit? I think you'll find that by your definition 99%+ of the worlds population are fanatics since they don't agree with mods of whatever leftist subreddit you came from. it's clear up to now you've been extremely protected from "problematic" thought by moderators.
Go try to normalize gay sex to peoples kids, you'd be surprised how they'd actually react when you get into details.

>>11564786
>In English please
632 billion £

I hate most of you faggots but I can't stop visiting the thread.
Am I a masochist?

>>11565068
You're a very comfy poster, I like you thx

>>11564814
Would be cool if it weren't already disproven

only fanatics could object to this being taught to kids as natural, healthy and normal.

>>11564971
>Anyone who disagrees with my specific political views is an intolerant homophobe and probably some ignorant uneducated, hateful "Redneck"

Wow, that is not a very tolerant, open minded, or welcoming attitude to have anon. Let me guess? You think Trump voters are all low IQ racists who live "in the middle of nowhere"? Grow up anon.
I'm not even conservative, I'm not a homophobe, and I never suggested that gays must "remain ignored". You're just misrepresenting my claims and putting words into my mouth so that you tell yourself that I'm so kind of "intolerant" and "uneducated" bigot. It's an attempt to misrepresent and misconstrue my position, so that you have an excuse to just discount what I say without presenting any argument. You're not smart. You're not "woke" or "tolerant", and you're not being "progressive". Anyone who isn't a partisan retard can see right through your rhetorical strategy.
I support gay rights. I support equality. However, I don't support the glamorization of homosexuality, or treating the LGBT community as if they're all "heros" or somehow exceptional in comparison to any other citizens. I think for the most part, they're regular people that happen to have unconventional sexual preference. Beyond that, they don't deserve any special treatment, and they certainly aren't "brave", and they not "fighting back against the system".
BTW if you're wondering I'm a brown dude from a Muslim country and I've literally had sexual relations with another dude, although that was years ago, and I consider myself straight. I'm not some evil "cis white male", and I'm sure you've already assumed. Other people have different opinion. They aren't all white Nazis. Deal with it.
Pic related speaks for itself. This is why the LGBT community does not deserve special treatment.

>>11565079

Care to elaborate?

>>11564765
390 billion kilograms (avg. weight 50kg) would be my initial guess.

>>11565094
https://vixra.org/pdf/1906.0236v3.pdf

>>11565100

Thanks for the laugh

>>11565069
Fucks sake, for the last time, sexual education is not about teaching kids sexual positions and stuff, it's about teaching respect, teaching how it works before they do something stupid, and believe me I know a lot of people like that. If you were intelectuslly honest, you'd actually do some research on sexual education to learn more about it. The only reason to be against it is if you hate gays (your case apparently) or want women to continue getting pregnant during their teenager years, which generally leads to abortion (something you probably hate as well without even knowing how it works).

>>11565080
It makes me wonder how the Romans and gre*koids did it.

>>11565080
>Spent time saving an image on how to clean your ass
>Complain about it
Why?

>>11565116
>>11564971
I support LGBT rights, but why should they be flaunted in public? I am 6' 2", physically fit, and fairly attractive,, and even I don't go around in public making the assumption that everyone is interested in the details of my sex life. LGBT right are fine. Gay rights are fine. Flooding the mainstream society with niche LGBT culture is unnecessary, disgusting, and doesn't further the cause of the LGBT movement. I'm simply not interested in hearing about gay sex. That doesn't make me a homophobe. I'm sure you're not interested in "straight sex" or what I do in my bedroom.
I'll say it again. I support gay rights. I support gay marriage. I do not support MANDATORY LGBT sex education in schools. I do not support having pedophiles and other degenerate faggots reading to children. We've literally already had multiple pedophiles caught at drag queen story hours. To be honest, no normal man wants to dress up in drag. They can do that if they want, and I wont stop them, but its a cringey hobby, and they're all super creepy. I wouldn't be surprised if most of them were pedos.


https://www.khou.com/article/news/local/houston-public-library-admits-registered-child-sex-offender-read-to-kids-in-drag-queen-storytime/285-becf3a0d-56c5-4f3c-96df-add07bbd002a

Does the GPA counts a lot when applying for a PhD program in Japan? Also, how hard is it to be accepted in a uni there if I know japanese? I'd be fine with a 3rd rate institution

>>11565116
>the only reason you would disagree with me is because you hate gays
>also if you disagree with me that means you are antiabortion

Bro this is cringey as fuck. You're obviously some low IQ normie who is completely absorbed in partisan politics. Guess what anon: the world is a complex place. Not everything falls into a Boolean two state binary system. Not everyone shares your value. Not everyone subscrives to partisa politics. Just because someone disagrees with you, that doesn't mean they're an uneducated, hateful, and ignorant conservative. People can disagree with you withput being conservative, and even if they are a conservative, that doesn't make them stupid or evil. If you can't sit down an understand a conservative without misrepresenting their position or calling them a racist, a homophobe, etc. then you yourself are not a real progressive.

Believe me, you have far more in common with your average "dumb conservative redneck" than with the uptight neoliberal journalists in DC and LA who you seem to be getting your political opinions from.

/mg/ means mathematical gays, am I right?

>>11565116
>>11565116
I'm agnostic on normal sexual education. it's probably somekind of plot to influence and brainwash kids to serve the system. but it's also possible that without it low iq kids would be getting pregnant and birthing low iq bastards at a dramatically higher rate.

of course teenage pregnancy doesn't apply to homosex. I know this may come as a shock to you, but semen up the shithole doesn't result in pregnancy, in nature it's not a productive act. pretty much the only real argument you can make for even mentioning homosex in schools is to warn against stds. (of course gays tend to get them, hell even embrace them despite intimate knowledge of them). Why this must entail gays in the class rooms talking about eating shit I don't know. face it, gay sex is disgusting and unless you want to reverse "progress" you'd better not bother people with it.

>>11565049
N J Wildberger also browses /mg/

>>11565174
>of course gays tend to get them, hell even embrace them despite intimate knowledge of them
Zero sex education means that girls are likely to get pregnant.
So, isn't it the same for gays as well? Zero sex ed means that the gays are more likely to get STD?
Yeah the gays can be dumb so they need sed ex.
How about we make a separate sex ed session for the gays anyway? Doesn't bother anyone except for the teacher/nurse/whatever.

>>11565211
>separate sex ed session for the gays anyway

This is very reasonable. Let people choose to take a regular sex ed class, and "alternative/LGBT sex ed", or possibly even opt out. If you don't like other men, why should you have to learn about how to fuck men in the ass? By the same token, if you like to wear tutus and the first thing that comes to your mind when you see a cucumber is not fresh salad, then why should we waste our time teaching you about contraception and pregnancy? This is really just an optimization/operations research problem in disguise.

>>11565211
>How about we make a separate sex ed session for the gays anyway? Doesn't bother anyone except for the teacher/nurse/whatever.
You realize it's not that simple to go out as gay, right? Most people only find out about their sexuality after they're already adults. Sex ed must be for everyone if we want a healthy and respectable society

>>11565163
>I'd be fine with a 3rd rate institution
Imagine being such a raging weeaboo you'd ruin your entire academic future for a chance to spend a couple years with a Japanese boss

>>11565234
>>11565211
>>11565174
>>11565165
>>11565136
>>11565116
>>11565092
>>11565080
>>11565069
>>11565061
>>11565036
>>11565024
>>11565008
>>11565000
>>11564971
>>11564952
/pol/
/lgbt/

>>11565239
You know nothing about me, I don't care about anime, it's just that japanese society looks to me like the way the world should move foward, I just have a great admiration for that country and its culture as a whole.

>>11565257
2late.
/mg/ is mathematical gays now. Deal with it.

>>11565239
>academic future
The academics are currently in process of killing themselves. Japan is better off in that department, so he makes the right choice, I'd say.
When I have finished my Masters, I'm leaving, glad there is a demand for me in the industry.
I can really do without the /v/-tier discussions at academic institutions these days.

>>11565260
>I just have a great admiration for that country and its culture as a whole.
When that reaches the level you'd rather go to a shit Japanese school rather than a real school in the west, you've become a weeaboo
>it's just that japanese society looks to me like the way the world should move foward
excuse me while I go buy a new pair of sides, my old ones are now orbiting Saturn

>>11565239
>>11565271
Why are you being so butthurt? What if he's a weeaboo (or not)? It's his decision. He might regret it, might think it's dumb 5 years later but it's his own responsibility.
>inb4 I just want to say what's good for him
Nah you are just a faggot being salty for no reason.

>>11565295
Yup, he's probably the weeaboo here pissed because I know japanese and he doesn't

>>11565295
>>11565313
>all this projection
You're on 4chan. You're going to be called an idiot if you post stupid shit.

>>11565263
>I can really do without the /v/-tier discussions at academic institutions these days.
I don't go to /v/, what do you mean by this?

>>11565330
I don't see anything stupid in what I posted, I just asked a question, imbecile

>>11565049
The problem is when the CatFags from the CS and Philosophy departments try to reign in the fun.
God I fucking hate CatFags. Speaking of fags and LGBT sex ed. pic related are a bunch of flaming cat theory homos.

>>11565263
>I can really do without the /v/-tier discussions at academic institutions these days.

I'm also curious about this one. What's a v tier discussion? Do you mean like all the reddit fags who harp on about Neil deGrasse Tyson and meme shit like grapheme and materials science?

>>11564094
In spanish too

>>11564103
>>11564113
what if they're both really autistic

>>11564164
based

>>11564206
>How to Prove It, Velleman
Don't waste your time on these, just read problem solving books instead
>Analysis, Terence Tao
I like this one, a lot
>More Math into LaTeX, Gratzer
Protip if you know how to write LaTeX: You don't need to learn more. Learning LaTeX is essentially learning a couple of known commands and the rest is just formatting, which you don't have to learn just copy to make your template and done
Haven't read the rest

>>11564280
>All real mathematicians are religious
true, just consider Nöether, Cantor, Fraenkel and von Neumann... wait

>>11564309
read the url, fag

>>11564941
anon just wanted to let you know he's a contrarian

Am I being retarded or how is this question not wrong - [math]L/L_0[/math] being Galois implies that it's normal, ie that any polynomial over [math]L_0[/math] that has a root in [math]L[/math] splits over [math]L[/math]. But any polynomial over [math]F[/math] is a polynomial over [math]L_0[/math] so it splits over [math]L[/math], hence actually [math]L/F[/math] is a priori normal - but that is not an assumption.

>>11565049
>respectable mathematicians
>yukariwho

>>11564983
Holy shit, she texted me again today, idk what to do now, why are women like that bro

is complexity theory mathematics?

>>11565659
Yes.

>>11564562
>dating another guys after one week

Pretty brutal anon. She sounds like an empty bitch, not to be rude about your ex. The only possible explanation is that either (1) she craves sex, (2) she craves attention, or (3) she is intentionally fucking with you.

Point (3) is pretty much guaranteed. Points (1) and (2) may or may not be true, but probably are.

I know there are probably a lot of thoughts going on in your head like "how could she do this to me", or "shes such or whore", or "what's so special about this new guys", etc. Although nobody likes to hear it, and its not politically correct, most of your gut instincts are true. This girl did not care about you, and yes she is a promiscuous attention seeking whore.

After you get over the emotional anguish of this breakup, you goal should be to prevent this from ever happening again. You're not gonna win her back, and you shouldn't try to. If you do things right, within a years time, you'll actually realize that it's good you aren't in a relationship with her anymore, and you'll be in a position where this wont ever happen to you again. You should use this as an opportunity to learn more about relationships, monogamy, and the family. I don't mean in a cringey MGTOW sense or anything like that, but I do think it's pretty clear from the nature of your breakup that you've bought into the standard image of dating and relationships, and that image is very flawed.

Again, if you do things right, you will become the kind of guy this never happens to again. You should develop a more comfortable relationship with your sense of masculinity. If you don't already, you should start working out. You should stop worshiping women as these perfect sex symbols and weak little victims. The most important thing for you to understand that courtship and dating ultimately function as a tool to establish and build families. Within that framework, your goal is to behave as a father figure.

>>11565659
Computer science

>>11565672
>This girl did not care about you, and yes she is a promiscuous attention seeking whore.
I knew she was promiscuous from the start but I still loved her, and she said countless times that she loved me, then 5 days later she breaks up saying that she's feeling very tired from work and she lost interest out of a sudden. This broke me.

Believe it or not she sent me a message 3 hours ago saying that she was passing right in front of my house, this filled me with hope that she was missing me, then I answered 'haha, seriously? What were you doing around here?' and until now she didn't reply, I guess she just really wanted to humiliate me. Fuck, I wish I was born asexual, so I could focus only on my math career.

>>11565672
Regardless of whether it's a serious relationship or whether you actually plan on pursuing children, that should be your role: a father figure. This means at all times you maintain the dominant role in the relationship. You make the decision. You have to be dominant. If you girl disobeys she needs consequences.

A women needs to know that you are in control. I know that kind of dominant behavior might feel uncomfortable at first. That's because you've been conditioned by pop culture and mainstream society to treat women exactly like you would treat a man. To treat them as "equals". Of course women can be equal mentally, financially, and in many other respects, but ultimately human evolution has made women to be submissive socially, emotionally, and physically. So, actually once you overcome the pop culture conditioning that has taught you to bow down at the feet of women, it will probably become very natural for you to take on the dominant role when interacting with your partner, and even other women in general. If you do this correctly, the women in your life will actually have a lot respect for you, both consciously, and even subconsciously.

Relationship today tend to fall apart at extremely high rate, not because human psychology has somehow changed in the last 50-100 years, but because humanity as arrived at the incorrect conclusion that traditional relationships between men and women are "patriarchal", and that "equality" between men and women must be implemented in every area and facet of human life. Equality in general is often good, but not for our relationships.

Anyway, I know that was all kind of MGTOWish or bro-sciency, but I don't subscribe to either. I simply offer this as advice based on my own experiences.

By the way, if you're wondering what I mean by dominant, it can even be a simple as choosing what to do for a date or dinner. That shit should never be up to the women. It should be up to YOU, and thats what women really want.

>>11565692
Ignore her bro. She's trying to convince herself that you're still available if she ever changes her mind. She's basically taking out an insurance policy on your relationship before she moves on to the next. It's a subconscious thing women do to convince themselves they've made the right decision. Now she feels like she can move on and test the waters, and then come back to you later on if she decides she made a mistake.

Of course, she wont say that if you ask her, but subconsciously, that's what's going on in her mind. If you ask her why he broke up with you she'll say some nonsense about needing "distance" or some vague nonsense about how you were just "too much" or she felt "conflicted" or some meaningless nonsense. The truth is that even she doesn't know why she broke up with you (most likely). What I can say, is that she probably wouldn't have lost interest if you were being the man in the relationship. All women want is a dominant partner who function like a father figure. It's encoded into their biology, and your too. The secret to a successful relationship isn't find "the perfect math" or you "soul mate". That doesn't exist, and it doesn't need to. A successful relationship is based on mutual respect, socioeconomic compatibility, a maintaining a traditional male/female, dominant/submissive relationship dynamic. If you can hit those three points, as long as you an your partner are mentally and physically healthy, everything else should come easy.

Again, I know this isn't easy, and it isn't what you want to hear, but instead of getting her back, you need to focus on fixing YOURSELF, and then this will never happen again, either with her, or any other women. I really am sorry about your lose though, anon.

>>11565739
sorry for all the typos by the way, the keyboard I'm using is fucked

>>11565739
Thank you that was a great read, she still didn't reply my text, I guess this is pretty much over, no chance of coming back and yeah it was my mistake for falling for such a whore, I should have blocked her the moment she told me about her sexual experiences, but I was too dumb and naive, I'll do what you told me and make sure that I don't end up falling for those kinds again.

>>11564995
guy who asked the question here, this is really good so far. Thanks!

I'm drawing a blank on trying to remember something from Discrete math, maybe one of you remembers:
If " P ^ Q --> R " is the original statement
What is the formal term for " P ^ Q --> ~R " ?
I swear that there was inverse, converse, contrapositive and one other term, but I can't remember it, and it feels like I'm getting the fucking Mandela Effect.

>>11566018
I told you to study complex manifolds, why did you ignore me you little shit? Was it because I didn't post an anime girl, motherfucker?

>>11566062
bitch obviously i'm going to go for the actual book rec, give me something specific to read and I'll check it out too

>>11566093
Complex manifolds by Kodaira you fucking lazy motherfucker, but hey it doesn't have shiny pictures that catters to manchildren, only pure math, so it might not be for you plebistic taste.

>>11566018
stupid post

when and how did /mg/ turn into a relationship advice site for normies
>>>/r9k/

What are some /mg/ approved activities to do when I’m too tired to do proofs, but not yet tired enough to sleep? I hate this time of day

>>11566177
According to this thread it seems like bussy is what most /mg/ers do when not doing math.

>Took a look at advisor's past PhD students
>Each has a fuck ton of quality publication
>Realized that you are the dumbest one
Fuck. How do you deal with this. I constantly feel the judgement from other students because my professor's old students were so good.

>>11566177
I play bullet chess and get tilted.

>>11566178
Have sex

>>11566177
Play factorio.

What are your favorite open problems?

>>11566230
RH.

>>11566230
Collatz

>>11566230
Martin's Conjecture about the the behavior of Turing invariant functions under AD. It is also known that this conjecture contradicts the claim that Turing equivalence, as a Borel equivalence relation, is universal, in the sense that any Borel equivalence relation E whose classes are countable, there is a Borel functino f, so that xEy iff f(x) is Turing equivalent to f(y). Of course both could be false.

I can't even do exercise THREE in this chapter fuck why am i such a brainlet

>>11566230
https://en.wikipedia.org/wiki/Harborth%27s_conjecture
>In mathematics, Harborth's conjecture states that every planar graph has a planar drawing in which every edge is a straight segment of integer length.[

>>11566230
>spend three years thinking something is an open problem
>think about it occasionally but don't make any progress
>look it up to respond to this question
>turns out it was solved in 1978

>>11566322
Post exercise.
What have you tried?

>>11566375
Please don't laugh.
If E is a subset of a Hilbert space H, show that (E*)* is the smallest closed subspace of H containing E. (Here the * denotes the set of vectors orthogonal)
I'm sure I could look this up, but I'm trying to work it out myself.
Showing that (E*)* is a closed subspace containing E is easy. It suffices to show that (E*)* is contained in the closure of the span of E. So I'm trying to show somehow the elements of (E*) are limits of elements of the span of E. I'm also trying to figure out how the orthonormal basis could help.

>>11566230
I think the inverse Galois problem is pretty cool. People talk all the time about problems that are very easy to explain, but I can't think of many other unsolved problems this easy to _invent_ (maybe twin prime?). It's such a natural thing to ask that I'm sure quite a few students in Galois theory classes came up with the question independently, and yet there's still no complete answer.

>>11565559
You are using a wrong definition of normal.
A field extension L/F being normal means that every IRREDUCIBLE polynomial over F that has a root in L splits in L.

>>11566230
Let [math]f(n)[/math] be the size of the largest subset of [math]\{1, 2, \dots n\}[/math] which doesn't contain 3 terms in arithmetic progression. What is the asymptotic behaviour of f?

>>11565077
I guess comfiness is relative.

>>11566018
Nice!

>>11563589
Keep a thesaurus handy and be as hard to understand as possible while still technically making sense.

>>11565337
>>11565507
The discussions aren't about the content anymore, but about the form/shape and the people involved.
In my country students stormed a lecture, since the lecturer was a persona non grata to them.
After a few weeks, and the police practically giving up, he stepped down, and retired.
Yes, he was a faggot, and in a console war, that behavior would be acceptable, but this is fucking science.
If you want to silence someone, defeat his arguments with arguments of your own. If you are right, you should be able to do that after all.
>inb4 Goedel

I'm a soon-to-be "old, white man". I'm an undesired person in the academics of this day and age.
Going to the industry maximizes my personal profit function, so I'm doing that.

>>11566602
>The discussions aren't about the content anymore, but about the form/shape and the people involved.
Once there was something to gain other than pure knowledge, they never were.
You and your ilk were responsible for this. By refusing to politicize science you allowed others to do so. Your academic aloofness allowed the thugs and cunts to infiltrate every level of education and academia. Fuck you. Now its left to us to clear this mess up.

For people who have read Fuchs-Fomenko (I've seen the book talked about several times in these threads):
In the chapter on spectral sequences of fibrations, why do we want homological simplicity. Even without simple-connectedness we get an isomorphism between all pairs of fibers (if the base is path-connected). Why can't we just pick one fiber as the main one and fix one isomorphism for all other fibers and call it a day? Why do we want the isomorphisms to be path-independent? Is this because we want the construction to be natural with respect to maps to other fibrations?

>>11566230
Every open problem is my favorite because it makes me think I still have a chance.

I realized that a aprt of a thesis I'm working on easily implies something and I want to know if it's trivial.
If I have a functional [math]J \in C(W^{1,p}(\Omega)), 1 < p < \infty[/math] defined by [math] J(f) = \int F(\nabla f) dm^d[/math] for a radially symmetric F, is it then trivial that minimizers of the functional are radially symmetric?

>>11565643
Don't even block her, just ignore her. She wants a backup, just like the current one was.

>>11566165
Normoids should be banned form mathematics altogether. And please, don't link them to /r9k/, that place has enough normalfaggots as it is.

>>11566195
>Have sex
Is this an offer OwO
>>11566193
He accepted you as his student, so who fucking cares? Are in maths for ego posturing or what?

>>11566828
>Are in maths for ego posturing
Why else would I be in maths?

>>11566794
I'd guess so, by arguing that, given any g depending on theta, the minimal radial slice theta_0, extended to a symmetric function g_0 would be smaller. (Although I'm not sure how to guarantee that that's then also smoother and integrable)

>>11566230
I've been trying to prove the prime power conjecture for special cases using group invariants for the full collineation groups but I don't think I'm going anywhere which is why I'm currently studying homological algebra

>>11566873
>homological algebra
There's nothing logical about homos

>tfw doing some girls math homework and she sends me femdom pics in exchange

>>11566881
>she sends me femdom pics in exchange
Wut? Like random femdom pics off the internet? Or are they personalized to you?

>>11566881
G*d I wish that were me. Tell her the concepts are too hard to explain over text and ask her to meet up in person. Do this or you're an absolute moron.

>>11566724
To give a quick answer: you can, for example, eliminate nasty burden like signs with that assumption. Also, note that the sum [math]\Sum_i a_ie_i[/math] could mean a lot of things, but now it is independent of the isomorphisms used.

>>11566911
Oops, I guess I was thinking about \sum and \Sigma simultaneously.

>>11566903
personalized pics of her of course
which is nice because masturbating to something personalized is nice but at the same time i get a little bit sad because she will probably know less maths because of me (or at least have harder time with mahts in the future)

>>11566904
she lives in another city and the stuff she sends me is so fucking easy i would be embarrassed to lie about its too hard to explain over the internet

bros any good courses/guides on how to use latex?

>>11566961
Got you covered, bro

>>11566911
>>11566913
Can you elaborate on this? I mean, as long as we just want to calculate the homology of the fibration, without caring being canonical, then can we just do what I said?
In the construction I could not identify the part where it would go wrong if we chose some noncanonical isomorphisms for each fiber.

>>11566828
>Is this an offer OwO
Only if you can beat me at bullet

>>11566944
>at the same time i get a little bit sad because she will probably know less maths because of me (or at least have harder time with mahts in the future)
What an abstract feel.

>>11566961
Just google for it. There's a few shortish reference manuals that are okay. For the most part the best strategy is to only learn stuff as you need it rather than trying to teach yourself everything at once.

>>11566965
Nope, sorry. My mind is completely blank. It probably has something to do with orientability.

>>11566961
Just do it.
Start from here: https://en.wikipedia.org/wiki/Comparison_of_TeX_editors

>>11566961
More Math into LaTeX, Gratzer

What's the dual of an exterior algebra?

>>11567130
an interior algebra

>>11567262
Very funny.

I sent my paper to JLMS and they rejected it. I sent it to PRIMS now, waiting for a manuscript received notification.

>>11566177
bideo games
>>11566207
good post

>>11566961
You don't need any guides. Use overleaf (in browser) and just start. Whenever you wanna do something, google "do X Latex" and you'll find the answer, pretty much.

>>11567335
I googled "do get a gf Latex" doesn't return any useful resuklts

>>11566400
not sure if this is the right path, but it's worth a shot:
let C be any closed subspace containing E.
what do you know about (C*)*?

>>11566207
>thought the game was about factoring stuff
>it's about factories

>>11567361
it's so much fun

>>11567361
Hard to say which one would be worse.

>>11567366
I just play jrpgs sorry

>>11563549
why do the comments read like virgin scholze vs chad dupuy? it sounds like there are at least 2 or 3 commenters who digested significantly more IUT than scholze

What do you guys think of the Cambridge Mathematics Reading List?

https://www.maths.cam.ac.uk/documents/reading-list.pdf/

>>11567693
That's a memelist

>>11567701
Why?

>>11567705
Pointless pop-math books, might as well waste your time reading three of those 'how to proof it' textbooks.

>>11567693
Good if you're looking specifically for pop-math/outreach books. Things you could recommend to a HS student or a non-mathematician friend for instance, or things you'd read on your free time.

Linear algebra exam on Friday. Don't even understand linear combinations yet

>>11567761
Never understood people who can't into LA. Simplest shit in math ever. Meanwhile those people can compute integrals that I can't even prove are convergent.

>>11567761
Watch 3b1b's series on it for intuitive understanding

>>11567718
>reading three of those 'how to proof it' textbooks.
It's 'How to Prove It' you retard and it's a great intro to proofs books, reading it alongside Chartrand will give the student a solid foundation in proof making

>>11567761
Don't worry, cat. You will get the basics if you start now. You are going to start now, are you not?

>>11566724
I am pretty sure it's about being canonical. Otherwise you would have to specify the (homotopy class of the) path you are using. Also, you mentioned those maps between fibrations. Given one of those, suppose [math]f\colon B\to B'[/math] would be the map between base spaces, and suppose you have chosen a path class in [math]B'[/math] represented by [math]\gamma'[/colon]. It could happen that there is no [math]\gamma \colon I \to B[/math] such that [math]f\circ \gamma \simeq \gamma'[/math], and so the fixed isomorphism would have to be changed. These are some reasons I can think of, and that anon mentioned orientability. That could also be behind it.

>>11567872
I probably have that brain tumor for real. Well, even with stupid latexing mistakes like that, you probably get what I mean.

>>11563589
>Read a shitton of math papers
>Write your own
>Have your advisor read it over and say you need to improve
A few years later and you will have it down to an art.
A terribly boring one, but an art nonetheless.

[math]f: S^n \rightarrow S^n[/math] continuous function, here [math]S^n = \partial V^{n+1} [/math] is n-dimensional sphere.
Is the following statement true:
[math]f[/math] is nullhomotopic iff [math]f[/math] can be extended to a map [math]F:V^{n+1} \rightarrow S^n[/math].
I think the answer is yes and I have a proof but I just need a confirmation.

have you guys largely forgotten the nitty gritty of calculus? if you had to take a hard exam on Calc I-IV today, do you feel like you’d do well on it?

>>11567898
Lmao the answer is yes.
Consider the homotopy
g(x,t) = f((1-t)x).
g(x,0)=f and
g(x,1)= const

>>11567898
>>11567905
For the other direction, just note that the cone over S^n is V^n+1

>>11567905
>>11567921
good that's what I thought
thank you

>>11567875
When writing text in LaTeX always use \text{}

>>11567934
Yes, I do. When ending the latexing on 4chan, use [/math] and not [/colon].

>>11566881
Absolute based god over here

>>11566881
god i beg you BEG YOU at least grace us with the pictures of her feet or anything really

How many books you guys read per year? How long does it take you to read and do the exercises of a math book?

>>11567793
>Chartrand
by Chartrand you mean this Mathematical Proofs: A Transition to Advanced Mathematics?

>>11567973
>How many books you guys read per year?
zero

>>11568052
Yes, what else could I have meant?

>>11567973
about 3.50

>>11567793
For me, it's Smith, Eggen and St. Andre

>>11568120
Trash book, the golden standard is Velleman+Chartrand, your shitty opinion doesn't matter when faced against facts.

>>11567973
about 10, each one taking about a month if I'm serious and work a few hours a day

>>11567973
From cover to cover? 0. More like a chapter or two and then the next book.

https://www.topuniversities.com/university-rankings/world-university-rankings/2020
>US still maintains top 3
Get fucked in the asses you britbongs and chinks.

>>11568313
1/5th of a burger was deposited to your account

>>11568326
I need 4 more to have proper a dinner please.

>>11566840
>minimal radial slice for a function only defined almost everywhere

>>11568313
My uni is in 116, feels bad man

>>11566881
Based, women are whores. Remember not to fall for her.

>>11567902
No, but I'm a low IQ retard so it's to be expected.

>>11568337
The place I am in is barely in top 200. Not too surprising, though.

>>11567973
Why do you want to compare yourself to others? Do you inadequate? Why does it matter that it might take you longer if you get to the same place either way? Do you feel like there's a part of you that's missing? Interlinked.

>>11568363
I wonder, are MIT and Harvard that much better than the rest? What's so different about them?

>>11568370
I just wanted to see how far behind I am compared to others. Interlinked.

How do you manage your read papers?
I want to organize them in a tree/graph, and I need to attach to each of them a comment so that I won't forget what the paper was about 2 weeks later.

>>11568375
Popular.
High research output.
Harder for students to get in (higher SAT and all that).
Graduates have overall higher salaries.

>>11568382
Download>Read>Delete
I thought it was the same for everyone?

>>11568375
I don't know, and I don't even care. What I care about is to have some cool names next to mine in the papers I may one day publish. If it says Lumbridge or Falador, that doesn't matter. Maybe I'm too out of touch to see how the system works, but that remains to be seen.

>>11568381
You're way off your baseline anon. Why are you in a position where you'd do anything different based on what the "competition" does?
>>11568382
Advisor advised me to do a one page (or so) summary of the main ideas and techniques. Doesn't work for me due to severe brainletism, but it might do the trick for you.

>>11568388
I need to compile them into one cohesive report later, anon. Otherwise I would have deleted all of them.

>>11568313
It's not even particular to maths.
>>11568375
In mathematical terms, no.
>>11568390
>What I care about is to have some cool names next to mine in the papers I may one day publish
Why do you care?

>>11568398
Connections.

>>11568398
Connections.

>>11568398
>Why do you care?
Not him but
>Big name in paper
>Bigger citations
>Bigger h-index
>Bigger e-penis
That's probably it.
Jokes aside, I perceive that it's mainly an Asian thing. They always try to aim for higher numbers for some reasons.
Also, if you are not a US citizen but have good research, you can ask the US to let you be a permanent resident:
https://onlinevisas.com/visas/us-visas/o1/
And a lot of my international friends are going with that route.

>>11568427
Who'd want to live in the fucking US when Europe and Japan exists? Kek.

>>11568452
Japan is a dystopian cyberpunk shithole.

>>11568452
Indians. Literally 3/4 of my grad classes are Indians. Granted my school is shit tier but it's roughly the same amount everywhere.
I still

>>11568471
Are indians considered white?

>>11568479
Yes, they are the aryan master race.

>>11568313
>in partnership with Elsevier
Anyone having no subscription confirmed for rank down.

>>11568337
Why "feels bad"?
My Alma mater is in the 130s, and I have no reason to complain.
It was a fucking amazing time, that got my life on track.

>>11568468
Japan is cyberpunk alright.
The dystopian shithole would be the US, though.
And it has absolutely nothing to do with Trump.
He is at best a symptom.

>>11568313
>tfw you went from 651-700 to 270s
>>11568623
Shut up you fucking weeb, Japan has a deppressed economy, shit-tier demographics, soul-destroying labour expectations, stupidly high rent in the places that matter, etc...

>>11564769
I went the ghost route, don't talk to anyone at all except those who work in my field. It's nice, no one shit talks you if they don't know you exist.
>>11566230
Kakeya needle problem and surround conjectures

>>11568176
list the last ten? that seems like a lot desu anon

>>11568691
>I went the ghost route
I'll start doing that as well

>>11568777
I don't know man, maybe I got really lucky, but I made great friends in uni and had a lot of fun. I really hope you have this opportunity too. If not in undergrad, definitely try in grad school, people there are way more neuroatypical, and there's bound to be someone who gets you. We're always here for you too. You're gonna make it, bro.