/mg/ - maths general

[Anonymous No.11396004]

Formerly >>11377064
Cash Wash edition.
Talk maths..

[Anonymous No.11396008]

>>11396004
Cantor's Diagonal proof is a load of rubbish. There are significant logical leaps filled by subjective intuition. If you believe that crap, you are both submissive and low IQ.

[Anonymous No.11396015]

>>11396008
>There are significant logical leaps filled by subjective intuition
What are the leaps?

[Anonymous No.11396112]

>>11396008
That's why it is called an argument and not a proof.

[Anonymous No.11396452]

>>11396112
>>11396008
Cantor's diagonal proof:
Let A be a set. Then P(A) is a set by the axiom of power set. Assume there is a surjection f:A->P(A).
Let X={a in A such that a is outside of f(a)}. X is a subset of A by axiom of separation. Hence by surjectivity of f, there is some x in A such that f(x)=X. Assume x doesn't belong to X. Then by definition of X, x is inside of f(x)=X, contradiction. Thus x must belong to X. But that also produces a contradiction by the definition of X. Thus our original assumption that there exists a surjection A->P(A) must be false.

What's would you say is wrong with this proof?

[Anonymous No.11396456]

0.999... = 1

[Anonymous No.11396494]

>>11396456
OH NO NO NO WE GOT TOO COCKY ULTRAFINITISTBROS!!!

[Anonymous No.11396496]

>>11396008

>cant understand simple argument from 100+ years ago

whew, way to start off the thread, lads

[Anonymous No.11396789]

Is there a name for a geometry in which d(P1, P2), (where P1=(x1,y1) and P2=(x2,y2)), is equal to max(abs(y2-y1), abs(x2-x1))?

[Anonymous No.11396797]

>>11396789
maximum metric, [math]L^{\infty}[/math] metric

[Anonymous No.11396799]

>>11396496
Rough.
>>11396789
I dunno, but an anon asked about it in /sqt/ before the last thread thread: >>11376095

[Anonymous No.11396801]

>>11396799
Thanks! I knew I'd seen it before and I initially thought of taxicab distance

>>11396797
Weird coincedence, that wasn't me

[Anonymous No.11396802]

>>11396789
I'm not sure it has it's own name, but it's geometrically the same as the taxicab metric (balls in this metric are squares, balls in the taxicab metric are squares rotated 45 degrees, so just spin and rescale).

[Anonymous No.11396806]

>>11396801
I quoted your posts in the wrong order, I'm sorry

[Anonymous No.11396811]

>>11396797
>[math]L^{ \infty}[/math]
Oh yeah.
Closer to [math] \mathcal{l} ^{\infty}[/math] tho.
>>11396806
No one cares, relax.

[Anonymous No.11396819]

>>11396015
>>11396112
>>11396452
>>11396496
Assigning truths to partial computations without considering propagation ordering is undefined behavior. The omission of race conditions makes the proof extremely dim witted.

No, I'm not schizo. In fact I am one of the brightest humans to have ever existed.

[Anonymous No.11396854]

>>11396819
How long did it take you to type out all that meaningless gibberish?

[Anonymous No.11396865]

>>11396854
Meaningless gibberish? That's on you, friend.

>*enumerates and appends the complementary sequence to the set under inspection*

NOONONOOONO YOU CAN'T ARBITRARILY DEFINE THE ORDER OF OPERATIONS ONLY I CAN DO THAT!!!

[Anonymous No.11396866]

>>11396865
>>11396452
Where the fuck do you see a sequence here?

[Anonymous No.11396870]

>>11396004

*receives the old man lifetime achievement consolation prize*

[Anonymous No.11396876]

>>11396008
>>11396819
>Cantor's diagonal argument?
>you just enumerate the enumerations sideways, like a matrix, to make sure you get all of the diagonals

[Anonymous No.11396880]

>>11396866
I don't. That's why it's not Cantor's diagonal argument, you absolute brainlet.

https://en.wikipedia.org/wiki/Cantor%27s_diagonal_argument#Uncountable_set

[Anonymous No.11396881]

>>11396866
He is obviously insane, don’t bother

[Anonymous No.11396892]

NONONONONO YOU CAN'T JUST ARBITRARILY ENUMERATE SETS EVEN THOUGH THERE'S NO RIGOROUS DEFINITION FOR ORDER OR METHOD

YOU MUST BE INSANE TO THINK THAT YOU CAN JUST APPEND DISCONTINUOUSLY

HOW DARE YOU DEFINE A CONTINUOUS EXPRESSION FOR APPENDING SEQUENCES THAT GOES AGAINST MY FEELINGS

SCHIZO SCHZIO SCHIZO

-t. low IQ "intuitive" sub(human)conscious submissive maths beta nerd with extremely low testosterone

[Anonymous No.11396899]

>>11396004
>>11396008
>>11396015
>>11396112
>>11396452
>>11396456
>>11396494
>>11396496
>>11396789
>>11396797
>>11396799
>>11396801
>>11396802
>>11396806
>>11396811
>>11396819
>>11396854
>>11396865
>>11396866
>>11396870
>>11396876
>>11396880
>>11396881
>>11396892
Reddit samenigger brainlet detected. Mods do something immediately

[Anonymous No.11396901]

Lmfao you don't even get a you, fag

[Anonymous No.11396903]

>>11396899
Based and checked. OP is a samenigger using multiple devices just to bump his nigger tier thread.

[Anonymous No.11396910]

>>11396901
>he goes through the effort of photoshopping the yous out to defend himself to random fags

[Anonymous No.11396912]

>>11396910
>photoshop
>not just using inspect element

[Anonymous No.11396920]

>>11396899
>>11396901
>>11396903
>>11396910
>>11396912
samefag

[Anonymous No.11396930]

>>11396920
>>11396912
>>11396910
>>11396901
>>11396903
>>11396899
Samefag

[Anonymous No.11396944]

>>11396899
>>11396901
>>11396903
>>11396910
>>11396912
>>11396920
>>11396930
WHAT THE FUCK ARE THE MODS DOING??? FUCKING DO SOMETHING ABOUT REDDIT NIGGERS SAMEFAGGING

[Anonymous No.11396948]

>>11396004
>>11396008
>>11396015
>>11396112
>>11396452
>>11396456
>>11396494
>>11396496
>>11396789
>>11396797
>>11396799
>>11396801
>>11396802
>>11396806
>>11396811
>>11396819
>>11396854
>>11396865
>>11396866
>>11396870
>>11396876
>>11396880
>>11396881
>>11396892
>>11396899
>>11396901
>>11396903
>>11396910
>>11396912
>>11396920
>>11396930
>>11396944
Hey, John, it's Mike.
I see you've been having some fun by yourself. Honestly, you can't just start the party without waiting for me like that.
But I just want to let you know that, if you ever feel lonely, you can call.

[Totes a mod guise1one No.11396952]

>this thread will be pruned or deleted in 5 minutes, saiyan

[Anonymous No.11396960]

>>11396004
BUMP FOR TRUMP

[Anonymous No.11396965]

>enter bread
>look at bread
>leave bread

[Anonymous No.11397009]

>>11396965
Fuck off fedora

[Anonymous No.11397018]

What the fuck? Why isn't the Order Limit Theorem applicable?

[Anonymous No.11397102]

>>11397018
The only way you could apply it directly is if you showed lim f = L < lim g and lim g < lim h.
However, you don't know beforehand if lim g exists, which is an assumption of the theorem. So what you do is prove it directly, which is also trivial.

[Anonymous No.11397110]

>>11397018
>order limit theorem
Brainlet redditor detected

[Anonymous No.11397118]

>>11397018
>>11397102
samefag

[Anonymous No.11397123]

>>11397118
Can you stop? You're not funny.

[Anonymous No.11397162]

>>11397018
I don't understand the context of your question. Applicable to what?
The pic shows the theorem, I understand. Your task is to prove is.

The question is weird, though. If, by assumption, the functions both attain a value at c directly, then f(c) < g(c) is given and the rest is meaningless epsilon-delta moving-around

[Anonymous No.11397163]

>>11396004
>11394613 (OP) #
Going through pic related since Jeff Erickson’s papers seem interesting, and in general I want to see how far the relationship between topology and computer science theory goes. After this I’m probably going read weibel’s h book

[Anonymous No.11397169]

>>11396004
Going through pic related since Jeff Erickson’s papers seem interesting, and in general I want to see how far the relationship between topology and computer science theory goes. After this I’m probably going read weibel’s h book

[Anonymous No.11397172]

>>11396899
>>11396920
>>11396930
>>11396944
>>11396948
>>11397118
>>11397123
schizo samenigger talking to himself

[Anonymous No.11397177]

>>11397169
cringe

[Anonymous No.11397190]

>>11397169
You know in the way that {x,y} is a subset of {x,y,z}, i.e. we may write
{x,y} < {x,y,z}, many of the topological constructions feel like a "cheap" way enabling model theory.
Then again, {x, a} and {y, z} aren't in an ordered relation..

You know the topologies on a finite set are in 1-1 correspondence with the preorders and then if you add more conditions, you naturally get more refined preorders.
E.g. adding the T0 axiom (>"if for every pair of distinct points of X, at least one of them has a neighborhood not containing the other"), then the T0 topologies of finite spaces are exactly the partial orders.

From that perspective, general topologies having all those dualities (e.g. Boolean algebras, i.e. complemented distributive lattice, being isomorphic to fields of sets (Stone's representation theorem for Boolean algebras
)).

If you come from a set theoretical pov (which is of course a bit unothodox for topology aimed at discussing geometry), then the powerset P of a set X is just a means of _generating_ some partial order given a small number of things X. And to speak of a topology (two, three axioms on P(X)) is to give some basic coherence to the order thus induced.

To say that topology relates to algebra and, in turn, the discussion of possible combinations and even computer science, isn't that far out.

[Anonymous No.11397216]

>>11397190

[Anonymous No.11397220]

>>11397190
Brainlet the post

[Anonymous No.11397225]

>>11397177
Posting cringe without explaining is pretty cringe
>>11397190
Thanks for the reply! Yeah I remember reading about how results for stone - type duality were prevalent in language theory results. In general it seems language theory has been running with topological results with domain theory, if we’re talking about algebraic topology that isn’t studied directly in computational topology. I found a lot of cool ideas tossed around here
https://cstheory.stackexchange.com/questions/2898/applications-of-topology-to-computer-science

Particularly what interests is studying fundamental theory (complexity, algorithms, computability, computation, etc.) with algebraic topology. I had a lot of fun in intro topology, especially when we got to the basics of covering spaces, and I hope to find deeper connections in the same way type theories have been taking off in TCS.

[Anonymous No.11397227]

>>11396004
Bump for drumpf

[Anonymous No.11397228]

>>11397216
>>11397220
Explain yourself samefag

[Anonymous No.11397233]

>>11397190
>>11397225
>Thanks for the reply!
>is samefagging
discord tranny

[Anonymous No.11397246]

>>11397233
Eat shit samefag
Unless you have anything to add leave the mathematics general.

[Anonymous No.11397249]

>the absolute state of /mg/
what happened numberchads?

[Anonymous No.11397252]

>>11397233
Caught me lol

[Anonymous No.11397258]

>>11397246
>muh edited photo will show I'm not samefagging
brainlet nog detected

[Anonymous No.11397277]

>>11397252
Nah
Nice photoshop there though >>11396901
Are you really that bored?

[Anonymous No.11397282]

>>11397277
>phoneposting
OHNOHNO

[Anonymous No.11397284]

>>11397258
>editing
You mean what you did here?>>11397258
You didn’t even change your font from >>11396901

[Anonymous No.11397292]

>>11397284
>You mean what you did here? >>11397258
* >>11397252

[Anonymous No.11397294]

>>11397282
>not phoneposting
It’s like you’re admitting you’re a neet

[Anonymous No.11397299]

>>11397294
>MUH IPHONE
90lb vegan reddit boy detected

[Anonymous No.11397302]

>>11397233
mhmmm

[Anonymous No.11397304]

>>11397190
>>11397216
>>11397220
>>11397227
>>11397228
samefag

[Anonymous No.11397308]

>>11397304

[Anonymous No.11397312]

>>11397302
>maybe if I double down on the photoshop they will believe me
Absolute disgrace

[Anonymous No.11397323]

>>11397312
technically speaking yes, I gather most would assume that of the two probabilities for
1. someone takes the effort to shop a sequence of images
2. nobody happened to be around taking the effort (for no apearent reason?)
the second is less likely.

I mean even if someone is just sitting at home all day and night and is a bit shizo, or all this shitposting opportunities on 4chan, writing fake dialogs about Stone duality and computational semantics doesn't strike me as the most efficient

[Anonymous No.11397324]

>>11397308

[Anonymous No.11397329]

>>11396004
>join thread
>Talk maths..
>whole thread is OP samefagging himself to bump it
WHERE THE FUCK ARE THE MODS

[Anonymous No.11397331]

>>11396004
Which "genius" decided that prime-counting fuction will be denoted pi(x) (absolutely no relation to constant pi)?

[Anonymous No.11397332]

>>11396004
BUMPET FOR TRUMPET

[Anonymous No.11397338]

>>11397331
I believe it was Euler but don't quote me. Pi is the greek letter p, for prime

[Anonymous No.11397337]

>>11397331
It's literally just the Greek letter for p.
I mean by that logic, you either have to indices the shit out of everything or also using e and gamma and phi and so on.

[Anonymous No.11397340]

>>11397329
>>11397331
>>11397332
Back to red dit

[Anonymous No.11397341]

>>11397331
It's literally just the Greek letter for p.
I mean by that logic, you either have to indices the shit out of everything or also stop using e and gamma and phi and so on.

Projections or canonical momenta also use pi.

Product (P) use pi. Sums (S) use sigma. Etc.

[Anonymous No.11397394]

guies what if there exists an d>0 such that
mypeepeesize<E?

[Anonymous No.11397437]

>>11397331
Which "genius" decided that the ratio of a circle's circumference to its diameter will be denoted pi (absolutely no relation to circles)?

[Anonymous No.11397545]

>>11396004
BUMP FOR TRUMP FUCK REDDIT NIGGERS BUMP FOR TRUMP FUCK REDDIT NIGGERS BUMP FOR TRUMP FUCK REDDIT NIGGERS

[Anonymous No.11397551]

>>11397341
>>11397437
>fedora intellectuals

[Anonymous No.11397661]

>have to include an intuitive but non trivial theorem in thesis
>want to find a proof myself instead of looking it up
>realize I can do it by induction over nunber of balls
>fucking amazing, finally it'll work
>almost done with the induction step, it seems so beautiful and like the objectively best way to prove this
>realize I used the assumption for n=2 in the induction step, meaning that I still need to show it for n=2
>basically back to square one
FML Ill waste all of tomorrow thinking about this again.
The theorem is that repeated steiner symmetrization can lead to schwartz symmetrization

[Anonymous No.11397782]

>Chapter of Text Subchapter 1
>Fucking Trudge, Two of the proofs are incredibly unituitive to understand, maybe selfstudy was a bad idea, god I'm fucked
>Subchapter 2
>Everything is smooth as butter, I'm able to produce most of the proofs myself, knock it out in less then an hour despite the fact that the content is supposed to be more difficult
>mfw

[Anonymous No.11397831]

>>11397782
90% of the time you're not supposed to read chapter 1 of a book, or skim it. Chapter 1 is where they dump all the foundational bullshit so they can advertise the book as "self-contained".

[Anonymous No.11397839]

>>11397831
this isnt true for good books

[Anonymous No.11397908]

>>11397299
i fucking wish I was 90lb

[Anonymous No.11398088]

First time posting on this board, I always liked math but I'm pursuing a major that doesn't require much. I would like to study it more on my own as a hobby. Is the guide in the sticky good?

[Anonymous No.11398281]

help>>11398268

[Anonymous No.11398409]

>>11396004
>>11396008
>>11396015
>>11396112
>>11396452
>>11396456
>>11396494
>>11396496
>>11396789
>>11396797
>>11396799
>>11396801
>>11396802
>>11396806
>>11396811
>>11396819
>>11396854
>>11396865
>>11396866
>>11396870
>>11396876
>>11396880
>>11396881
>>11396892
>>11396899
>>11396901
>>11396903
>>11396910
>>11396912
>>11396920
>>11396930
>>11396944
>>11396948
>>11396952
>>11396960
>>11396965
>>11397009
>>11397018
>>11397102
>>11397110
>>11397118
>>11397123
>>11397162
>>11397169
>>11397172
>>11397177
>>11397190
>>11397216
>>11397220
>>11397225
>>11397227
>>11397228
>>11397233
>>11397246
>>11397249
>>11397252
>>11397258
>>11397277
>>11397282
>>11397284
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>>11397294
>>11397299
>>11397302
>>11397304
>>11397308
>>11397312
>>11397323
>>11397324
>>11397329
>>11397331
>>11397332
>>11397338
>>11397340
>>11397341
>>11397394
>>11397437
>>11397545
>>11397551
>>11397661
>>11397782
>>11397831
>>11397839
>>11397908
>>11398088
>>11398281
cringe tranny samefag wtf

[Anonymous No.11398483]

what is your faverite anime?
<-- this is my faverite anime

[Anonymous No.11398753]

>>11396008
Based Ron

[Anonymous No.11399047]

[Anonymous No.11399059]

>>11399047
Kys

[Anonymous No.11399147]

>>11396004
Help me, please.

I'm a 24-year-old NEET that wasted his youth days doing absolutely nothing other than watching anime and browsing 4chan all day. My objective has always been pursuing a career in mathematics and being a professor or researcher. But I've wasted my youth already, I know mathematicians burn out after 25. Be honest with me folks, can I still make it? If there's even a little hope then give it to me, please.

Additional info: my IQ is 115 and I have asperger.

[Anonymous No.11399342]

>>11399147
>iq below 140
never gonna make it

[Anonymous No.11399482]

>>11397782
Pretty common in applied maths.
>first chapter are these autistic historical computations and applications that motivated the subject
>second chapter onwards you have the abstract, geometric theory associated to the general problem at hand
>>11398483
A Certain Magical Index.
>>11399147
>both an aspie and an idiot
I'd probably sudoku.

[Anonymous No.11399523]

>>11399482
Yeah but can /mg/ find a general (possibly nonlinear) transform that takes in information about a sudoku puzzle and output a solution to said puzzle?

[Anonymous No.11399549]

>>11399523
The axiom of choice guarantees such a map exists, so I'm good.

[Anonymous No.11399561]

>>11398483
Serial Experiments Lain
>>11399147
You can do it. First step is to stop caring about IQ.

[Anonymous No.11399564]

>>11399482
>Pretty common in applied maths.
I'm must be autistic because video games have trained me to assume it gets harder as you progress, and I just assumed that math texts must be like games because I'm a fucking retard.

[Anonymous No.11399612]

>>11399482
Why I am idiot?
>>11399561
IQ is important though, but I don't care too much about it, the problem is my age.

[Anonymous No.11399761]

>>11397169
Read This
https://www.youtube.com/watch?v=h0bnG1Wavag

https://geometrica.saclay.inria.fr/team/Fred.Chazal/papers/CGLcourseNotes/main.pdf
This

https://www.elsevier.com/books/distributed-computing-through-combinatorial-topology/herlihy/978-0-12-404578-1

global.oup.com/academic/product/an-invitation-to-computational-homotopy-9780198832980

https://www.springer.com/gp/book/9783540719618

[Anonymous No.11399836]

>>11399761
>Recommending anything by Springer
They stink, their books are made at the worst quality possible and sold for the highest prices on the market, capitalist pigs.

[Anonymous No.11399859]

Does anyone have that site that makes a comparison between all differential geometry books and there's one that's like 6000-pages long?

[Anonymous No.11399867]

>>11399859
geometry.org
Ask this shit in /sqt/.

[Anonymous No.11399890]

>>11399867
Holy mother of KEK, that's the one, what a madman, 2500 pages, pretty amazing work, thank you brother

[Anonymous No.11399962]

>>11399867
HE DOESN'T TALK ABOUT TAPP'S BOOK!!

I've never seen anyone talking about it, why's that?

[Anonymous No.11400049]

>>11399962
REDDIT DETECTED FUCK OFF TO FEDORA LAND RIGHT NOW

[Anonymous No.11400055]

>>11399836
reddit brainlet detected

[Anonymous No.11400063]

>>11399561
low iq nigger

[Anonymous No.11400093]

>>11399342
discord tranny

[Anonymous No.11400101]

Wow, now I've seen /mg/ at its worst, bring back the good /mg/

[Anonymous No.11400153]

>>11400049
>>11400055
>>11400063
>>11400093
First off, why am I Reddit?
Second, do you feel some kind of pleasure offending people online on an anonymous board? If so, then you're a very sad cunt, people like you are the cancer that's slowly killing all good boards, I see your type posting no only here but on /lit/ and /mu/ as well, aren't you people the real reddit scum? Could you please change your primitive ways or just fuck off so the actual civilized mathematicians can talk here without being bothered by your stupidity? Thanks.

[Anonymous No.11400162]

It's always the same those type:
>anime girl image
>passive-agressive post directed at someone asking question
>trying to show-off some kind of knowledge (most time they don't have any) in order to feel superior

[Anonymous No.11400173]

>>11400162
your list implies the existence of a fourth type of post: the question

[Anonymous No.11400180]

wtf is happening in this thread

[Anonymous No.11400184]

>>11400093
>>11400063
>>11400055
>>11400049
>>11399561
>>11398483
>>11399047
Low IQ posters

[Anonymous No.11400189]

>>11399147
>I know mathematicians burn out after 25.
The only mathematicians who've ever "burnt out" at 25 are the ones who just fucking died. 95+% of currently active mathematicians didn't even have their PhDs at 25. A substantial fraction of that probably didn't even have any publications yet.

[Anonymous No.11400194]

>>11400180
Low IQ poster

[Anonymous No.11400202]

>>11400189
So I can still make it if I start rn? Is this what you're trying to tell me?

[Anonymous No.11400218]

>>11400202
I don't know whether or not you can make it.
What I'm trying to tell you is that you're starting from assumptions which are very retarded, and you shouldn't decide your life path off retarded assumptions.

[Anonymous No.11400220]

>>11399147
>>11400202
Look, retard. Assume it's not going to be the same, you're already late. Can you make it even with your midwit IQ? Yes, you wont do anything too special but you can become a math teacher or whatever. But it's just not going to be the same and time will never come back.

Honest answer.

[Anonymous No.11400228]

>>11399962
No idea. He also doesn't mention Chavel, clearly the best Riemannian Geometry book.
>>11400180
I think we might actually be under attack by a very autistic schizo, or a group of them coordinating with IRC or Discord.
First they started falseflagging as frogposters, then as animeposters a bit ago.
Hopefully they'll tire soon enough.

[Anonymous No.11400231]

>>11400228
Fart IQ poster

[Anonymous No.11400236]

>>11400218
If you 'don't know', then you mean you don't believe I can, you could just be honest
>>11400220
I don't want to be just a teacher though

[Anonymous No.11400237]

Let mathematician age be a Natural Number with zero included and denote the age by a.

Can you prove by induction that you can do math for at least all natural numbers past a=3?

[Anonymous No.11400244]

>>11400236
>My objective has always been pursuing a career in mathematics and being a professor
>I don't want to be just a teacher though
Your IQ isn't even on the triple digits, give up.

[Anonymous No.11400245]

>>11400228
I don't think that's it, those kinds of anime passive-agressive posts are becoming famous across all boards, there's ewually annoying and dumb people on /classical/ and on /lit/, looks like reddit is finally invading 4chan for real this time.

[Anonymous No.11400252]

>>11400228
>I think we might actually be under attack by a very autistic schizo, or a group of them coordinating with IRC or Discord.
Frankly its what you fucking mathematicians deserve.

[Anonymous No.11400255]

>>11400245
>it's a conspiracy
low IQ poster

[Anonymous No.11400257]

>>11400244
When I say professor I mean university professor, as far as I know the word 'teacher' means high school/middle school, english is not my first language.

[Anonymous No.11400295]

>>11396008
>>11396892
>>11399147
>>11399342
>>11399561
>>11400063
>>11400184
>>11400220
>>11400194
>>11400231
>>11400244
>>11400255
reddit iq detected. please fuck off to reddit niggerville

[Anonymous No.11400298]

>>11400236
>If you 'don't know', then you mean you don't believe I can, you could just be honest
If you don't trust this general to not lie to you why the fuck are you asking for opinions in the first place?
I don't give two shits about your autistic little feelings, I say "I don't know" because your future is not preordained solely by what number you currently are. If you are smart and hardworking enough you can still succeed, but those things depend on your personality.
That said, every time you post my confidence that you are non-retarded enough drops a little, so at this point I'm just going to tell you to give up.

[Anonymous No.11400302]

>>11400153
fuck off low iq nigger brainlet

[Anonymous No.11400310]

>>11400049
>>11400055
>>11400063
>>11400093
>>11400180
>>11400228
>>11400295
samefag anime nigger

[Anonymous No.11400321]

>>11400298
post body

[Anonymous No.11400326]

>>11400257
bullshit chink

[Anonymous No.11400327]

>>11400298
>If you are smart and hardworking enough you can still succeed
Thank you, that's just what I wanted to hear, you could've just say it instead of writing all this tough love text, thanks pal I get it, I'm gonna make it.

[Anonymous No.11400350]

>>11400327
no you're not

[Anonymous No.11400373]

>>11400327
> I'm gonna make it
fuck off reddit never makes it

[Anonymous No.11400463]

>~Work at Tier 3 Uni
>~Student comes in, Math Major Undergrad
>>Hey professor, can I work on undergraduate research with you?
>Hmm... Do you have any history of Math olympiad?
>>No
>....any High School competitions?
>>No
>... Did you do the putnam at another institution or at least do serious studying for it?
>>No...
>Whats your highest math?
>>Calculus 3...
>...Look, I'm going to level with you, if you wanted to do undergraduate research for a better application to a better uni, don't. Modern Calculus 3 is made for everybody but future mathematicians. You have what, two years left? Not enough time to bring you up to speed for any kind of published material. You bring nothing to the table, you will be lucky to teach High School math in an inner city gang school once you leave this place. Don't try for the Math GRE, I can tell you right now that you're just wasting your time with the education this place has given you. If I were you, I'd change to an engineering major and pray that you can pass the state test with the shitjob education this place is going to give you. If you had started 10 years earlier, maybe you could publish something in automorphic group actions or cohomology. With what you have, the best you could hope for is a paper on how to make a poopie to the Journal of Useless publications. Its really too bad you discovered an affinity for mathematics now of all fucking stages in your life. Then again, if you went to public school, you were already fucked. So sorry, we can't do undergraduate research together
>>..t...thanks prof
It was that or spend the next two years watch them flail about uselessly while wasting my time

[Anonymous No.11400510]

>>11400463
Are we supposed to think you're badass saying that stuff? I honestly think you're a very frustrated dick

[Anonymous No.11400545]

>>11400463
absolute reddit

[Anonymous No.11400553]

>>11400510
Some Anvils need to be dropped.

[Anonymous No.11400560]

>>11400463
Cringing hard famalam. Calling the larp because a prof can't be clueless about how college, research and teaching work, by definition.

[Anonymous No.11400563]

>>11400463
fake and bullshit fuck off

[Anonymous No.11400578]

Other guy is right. Undergradutates are way to fucking confident. I straight up tell them that making me coffee will get us better results if we were actually collaborating. Laugh at them and those annoying fucktards won't come back.

[Anonymous No.11400587]

>>11400578
Seriously,
>Hurr I took babies first proof can I has paper now?
No. You cant. You can't even prove a group is isomorphic to itself. Fuck off.

[Anonymous No.11400588]

>>11400463
I've been spending the last several months hiring a few undergraduates for an internal research project, getting funding to pay them a decent wage, stocking the lab with books, buying training courses, and securing paid training time. The plan is to make the interns experts, sell them on the company, and hire them full time once they graduate. They'll do very well so that they can make lots of money so that they can get paid lots of money. Win Win.

Then I see your post. I know it's bait, but it works so well because there *are* people who think like that. The pain of graduate school should pop over inflated egos, but there's always some prick who recovered enough to torture undergraduates.

10/10 gr8 b8 m8

[Anonymous No.11400589]

>>11399147
>>11400202
>Be honest with me folks, can I still make it?
Why Don't You Try Studying and Find Out?

[Anonymous No.11400596]

>>11400588
>stocking the lab with books
>the lab
>lab
shoo, begone scientist, before you dumbdown another mathematics class

[Anonymous No.11400597]

>>11400589
I just wanted to know if it was too late, but now I know it isn't, thanks lads

[Anonymous No.11400598]

>>11400596
No.

[Anonymous No.11400604]

Anyone able to check this problem, my ta posted the work but the process isn’t making sense. Is his method correct?

Thanks bros

[Anonymous No.11400607]

>>11400604
>Anyone able to check this problem
Sure, the thread has been horrendous anyway.
Can you take a better picture? That's really hard to read.

[Anonymous No.11400611]

>>11400607
Hopefully this is a bit better. Sorry for the trash image quality.

[Anonymous No.11400614]

>>11400611
Looks alright to me

[Anonymous No.11400620]

>>11400611
So, he starts out by multiplying both sides by [math]x^2[/math], which is alright.
Then, [math](x+2)^2=x^2+4x+4[/math], So we can subtract out [math]x^2+4x+4[/math] and add in [math](x+2)^2[/math] to [math]x^2+4x-2[/math], since we're adding zero.
This gives [math](x+2)^2-6=0[/math]. Pass 6 to the other side, take roots, and you're done.

[Anonymous No.11400640]

>>11400620
Thanks m8, this clears it up for me. I appreciate your time.

[Anonymous No.11400664]

>>11400640
No problem, little brainlet. Bit of advice, champ- don't ever consider math as a career. Think you can do that for me, buddy?

[Anonymous No.11400674]

>>11399836
>buying books

[Anonymous No.11400726]

>>11400664
oh shit, you're gonna make him cry and the general's bleeding heart high school teachers are going to swarm you!

[Anonymous No.11400764]

>>11400674
>not collecting books for a personal library that will be useful for not only you but your descendents as well
>trusting that the government will never turn against knowledge and science
>thinking that the internet is a safe place to keep your books
Yeah, good luck with that, don't just start crying when a dictatorship sets in and seizes all good books from libraries and stores and blocks internet access.

[Anonymous No.11400794]

>>11400764
>not collecting pdfs for a personal library that will be useful for not only you but your can leave multiple copies across multiple storage devices to your descendents as well
>trusting that the government will never turn against the paper industry
>thinking that the meatspace is a safe place to keep your books
Yeah, good luck with that, don't just start crying when a FIRE sets in and burns your entire library of Math Topics for dummies

[Anonymous No.11400817]

if I take a measure theory course, will I be fine to take a course in measure theory probability?

[Anonymous No.11400848]

>>11400817
apologies for the retarded question. I meant at the same time.

[Anonymous No.11401081]

Guys I might be retarded. Like atomic level retarded, because I can't figure this shit out and I know for a fact that a 4th grader should be able to get this. If something has a 0.04% chance of happening, and you add a 20% to that, what are the odd of it happening. Like 1 in how much.

[Anonymous No.11401085]

>>11401081

Know that I read it again it might come off wrong, I didn't mean to say 0,04 + 20 to make it 20.04, but to make it 0.04% plus its 20%.

[Anonymous No.11401091]

Generally speaking, is LU decomposition -> product of the diagonal or Laplace expansion more efficient for computing determinants?

[Anonymous No.11401104]

>>11400764
>talks a lot of shit
>collects literal lower division undergrad books

[Anonymous No.11401111]

>>11401104
I'm still learning, is it so wrong? You've never been an undergrad before?

Also Pugh has literally research tier problems in his book.

[Anonymous No.11401113]

>>11400764
How is the Axler book?

[Anonymous No.11401146]

>>11401111
It's not wrong, and I know Pugh has research tier problems. But there's no reason to brag about your "library."

[Anonymous No.11401148]

>>11401113
worst do not read if you value your ability to do linear algebra

[Anonymous No.11401149]

>>11401113
Piece of trash. Read a real book like Lang's Linear Algebra.

[Anonymous No.11401151]

>>11401146
>But there's no reason to brag about your "library."
Libraries are fun.

[Anonymous No.11401164]

>>11401149
Is this the one I want?

[Anonymous No.11401165]

>>11401164
even worse, shit just start with Rudin

[Anonymous No.11401168]

>>11401164
No, you want this one.

[Anonymous No.11401181]

>>11401085
20 percent of 0.04 is 0.04 × 20/100 which is 0.008. So your total would be 0.048
And so 0.048% chance of happening or in other words, 48 times out of 100 000.

Anon you really need to study. No matter what, that kind of arithmetic shouldn't even require paper and pencil.


Speaking of no pencil and paper I did the calculation in my head and I am kind of retarded as well. It would be great if some non-brainlet checked if the answer is correct. I don't want to give you a incorrect answer.

[Anonymous No.11401210]

>>11397661
>induction
>beautiful
Oh honey...
>>11397782
That's the case for me with Ueno. Barely understood any of the alg-geo Kodaira-Spencer stuff in Chapter 1 but the affine Lie stuff in Chapter 2 was smooth sailing. Felt like passing a kidney stone.
>>11400848
Yeah.

[Anonymous No.11401215]

>>11401113
50% of the math community hate it, the other half loves it. I'll tell you why:

The book is a great intro to practice proofs and a great first look at it, it's also deeper than most LA books and has an elegant way of presenting its contents. It's a good book, a very different and special reading.

Now, the reason a lot of people hate it is simply because it ignores determinants completely and that's all, that's literally the only thing those people complain about, but this is exactly what sets this book apart from the others.
>>11401146
I wasn't bragging, I was saying building a physical library is important to some people since they don't want to be dependents on the good will of governments.

[Anonymous No.11401217]

>>11401210
ok ty.

[Anonymous No.11401220]

>>11401215
>it ignores determinants completely
Is this supposed to be a bad thing?

[Anonymous No.11401225]

>>11401220
It's not bad, but it goes against the status quo of Linear Algebra books which treat determinants as an essencial part of LA. Even if one's not a fan of Axler's approach, I reckon it's at the very least a very special experience to read that book, similar to Proofs from the Book.

[Anonymous No.11401298]

Is there an example of a function that is Riemann integrable but not Lebesgue integrable?

[Anonymous No.11401479]

turns out derivatives are super easy

[Anonymous No.11401508]

>>11401298
Lebesgue implies Riemann you dumb undergrad

[Anonymous No.11401511]

>>11401298
On an interval [a,b], every Riemann integrable function is Lebesgue integrable.
On other domains, it depends what do you mean exactly by "Riemann integrable".
For example, take the function sin(x)/x defined on [0, +infinity]. Then
[math]\int_0^{\infty} |sin(x)/x| = \infty[/math] so it's not Lebesgue integrable.
But the Riemann integral is defined for [0,+infinity] in terms of taking limits, and this limit exists:
[eqn]\int_0^{\infty} sin(x)/x = \lim_{s \rightarrow \infty} \int_0^{s} sin(x)/x = ... = \pi/2[/eqn]

[Anonymous No.11401741]

What's the worst thing that may happen if you misapply L'Hôpital's rule?

[Anonymous No.11401748]

>>11401741
You get the wrong answer.

[Anonymous No.11401783]

>>11401508
No it doesnt you retarded grad student. Take the indicator function of the rationals as a counterexample.

[Anonymous No.11401997]

>>11399836
>their books are made at the worst quality possible
Lol not true. They’re fantastic for storage and use
>highest prices
You do know that as a student / prof you can get the manuscript legally for like ~$10 in physical form and for free in pdf form, right? Your school will almost certainly have a springerlink subscription.
>the market
You can literally email professors for the book. The publishing companies profit like pigs sure, but you don’t have to even engage in their system to read the works. The only thing springer is good at is quality control for math and TCS books

[Anonymous No.11402050]

>>11400162
Yeah that's why /mg/ is dead.

[Anonymous No.11402060]

>>11400596
Mathematicians can have labs too anon.

[Anonymous No.11402062]

>>11400764
Not sure about the schizophrenic paranoia, but having a personal (physical) library is very rewarding. I'm on my second bookshelf

[Anonymous No.11402269]

>>11400463
I really should put a note outside my door saying 'will not do undergraduate research'

[Anonymous No.11402300]

Why does /mg/ hate undergrads, again?

[Anonymous No.11402388]

>>11401997
Some of their books are terrible in quality, I'm not talking about content, there's little doubt that most of their books offer excellent content, what I'm talking about is paper quality, binding quality, printing quality. And in every single one of those aspects Springer uses the cheapest ways possible. Their paper is just a little better than those from your notebook, the pages are literally glued to the bind, I've never seen hardcover books like that before and the printing is terrible, some images are all blurry. They're greedy pigs, capitalists in their purest form.

Although I do indeed have some of their books that have a very good quality, but it must be like 10% of their catalog at most, the rest is done in a very cheap and terrible way.

Also, I don't live in the US so I doubt I could get any springer book for $10.

[Anonymous No.11402397]

>>11402300
>The year is 2002
>No Child Left Behind was put into effect in the US
>Compound that with Universities in the US lowering their admission requirements
>These universities have to teach Mathematics to people who don't know how to count
>Now imagine some kid watches A Beautiful Mind or Numbers or some other shitty math show and decides to become Mather
>"Well to get into good PHD program I have 2 publish paper while dundergraduate roght?"
>Kid now annoys Mathematicians with undergraduate research requests
>The kid can't even find the limit of a polynomial correctly.
>Now imagine this times at least 5 students a semester

[Anonymous No.11402435]

>>11396004
Do you guys still have hobbies or anything like that? Seems like ages since I've done anything for fun. I used to play games and watch anime once in a while, I played to piano every day, enjoyed some Brahms and Chopin, I used to read a lot of literature as well, heh, I still have fond memories of my time spent reading Dostoyevsky and Tolstoy. *Sigh*. Looks like all I do nowadays is mathematics, if I stop studying I feel like I'll be left behind, I've stopped enjoying it a long time ago, now it's just stress, it became a competition against the others, if I get too behind I feel like I'll become a mediocre. Giving up math has never crossed my mind and it never will, but it's still such a hard field of work, it's too steessful if you want to accomplish any success without being a genius. Anither day passes, I probably already forgot how to play the piano, I don't even know which games or animes are famous these days amd the only books I read are technical, is life really just it? Will I find happiness at the end of my path when I prove an important result? Or rather, how can I be so sure I'll accomplish any success at all? Maybe it's not about sucess, but who really cares? The academia don't give a fuck about your happiness or if you're going to be successful, all they care about are results, proofs, intelligence. I'm already inside this maze and I have no plans to give up on it, but it's too damn difficult, if I could go back in time maybe I would tell my younger self to pursue a career in physics or something like that.

I'm gonna sleep now, I'm so tired, I've only slept 3h last night, had to finish a 16-page problem sheet.

[Anonymous No.11402442]

>>11402397
>The kid can't even find the limit of a polynomial correctly.
This has definitely never happened. This is the first month of calculus in highschool tier math.

[Anonymous No.11402459]

>>11402435
Just some things I do
>lifting/exercise
>hike/camp with friends
>play violin in orchestra
>go out with my fiance

>Will I find happiness at the end of my path
If all you do is math? No lol.

[Anonymous No.11402500]

>>11401741
>>11401748
There are worse things that getting wrong answer.
[math]\lim_{x \to \infty} (x+\sin x)/x[/math] is pretty obviously convergent to 1, but if you apply L'Hôpital's rule you get [math]\lim_{x \to \infty} (1+\cos x)/1[/math] that isn't convergent at all.

[Anonymous No.11402535]

Any good vector calc books?

[Anonymous No.11402757]

>>11402442
Not him but you've never been to an American university. I'll raise you with
>forgot how to calculate derivative of simple polynomial equation

[Anonymous No.11402865]

I came up with an interesting problem: for a given number of digits of pi, what is the longest repeated string of digits within that range? Say for 1000 digits what would the longest string be?

[Anonymous No.11402927]

>>11402865
Why would anyone want to know that?

[Anonymous No.11402935]

>>11400597

If You Have To Ask You Aren't Gonna Make It Son

[Anonymous No.11402956]

>>11402927
Because why not?

[Anonymous No.11402965]

>>11402865
>Say for 1000 digits what would the longest string be?
There's a 999999 on position 762 https://en.wikipedia.org/wiki/Six_nines_in_pi

[Anonymous No.11402970]

Is Thomae's function undefined on x = 0? If pic related is the definition, then it doesn't look like there's a definition for that case

[Anonymous No.11402982]

>>11402970
0=0/1. f(0)=1.

[Anonymous No.11402988]

>>11402535
Yes. V.A. Zorich, Mathematical Analysis I & II

[Anonymous No.11402999]

>>11402982
But 0=0/2, f(0)=2.

[Anonymous No.11403010]

>>11402999
0 and 2 are not coprime. Every natural number is divisor of 0. GCD(0,2)=2

[Anonymous No.11403014]

>>11403010
yer mum is coprime

[Anonymous No.11403034]

>>11403010
True. I missed the coprime part after searching for mcd for a few moments.
>inb4 wikipedia got an entry of Thomae's function
Searched for it too late.

[Anonymous No.11403162]

>>11402988
>>11403010
>>11403014
>>11403034
brainlet detected. post brain

[Anonymous No.11403511]

>>11400640
Another method you can use would be to complete the square.

[Anonymous No.11403529]

>>11402459
I just woke up, how the hell you have tine to do all that? You're probably not in an Ivy League, life here as a mathematician is hell on earth for those who aren't geniuses.

[Anonymous No.11403536]

>>11403529
just don't be dumb then lmfao fucking nerd

[Anonymous No.11403548]

What do I have to know before studying Category Theory? It looks like a pretty cool subject.

[Anonymous No.11403554]

>>11403529
>how the hell you have tine to do all that
By managing my schedule? I don't hike every other day anon.

[Anonymous No.11403590]

Brainlet test, describe this piecewise function with a continuous differentiable function.

[eqn]\begin{cases}
x & x\geq -2 \\
3 & -1\leq x\leq 1\\
x & x\leq 2
\end{cases}
[/eqn]

[Anonymous No.11403628]

>>11403590
x=0

[Anonymous No.11403630]

>>11403590
>Brainlet test, describe this piecewise function with a continuous differentiable function.
>x3xx≥−2−1≤x≤1x≤2
What have you tried?

[Anonymous No.11403631]

>>11403628
>Differentiable

[Anonymous No.11403639]

>>11403628
>>11403630
The key is reducing to delta and step functions

[Anonymous No.11403646]

>>11403639
>delta function
Its not a function, it's a distribution, or functional if you really want, but not a function.

[Anonymous No.11403648]

>>11403631
Yes? Or do you really want me to add a y term in there. Are you dumb?

[Anonymous No.11403650]

If a function has a saddle point, do the eigenvectors of the Hessian matrix tell you in which directions the function increases and decreases (i.e. if λ1 > 0, then the function is increasing in the direction of the eigenvector associated with λ1) ?

[Anonymous No.11403651]

>>11403590
This "function" is double valued between on [-1, 1]

[Anonymous No.11403658]

>>11403648
>Or do you really want me to add a y term in there.

[Anonymous No.11403665]

>>11403631
>0 function isn't differentiable

[Anonymous No.11403677]

Based or cringe?

[Anonymous No.11403678]

>>11403650
The Hessian tells you the curvature, while the Jacobian tells you the tangents. Eigenvectors of [math]H[/math] give normal vectors that tell you [math]when[/math] the function is increasing or decreasing by its eigenvalues (related to curvature), while you need the Jacobian to really get the direction.

[Anonymous No.11403681]

>>11403658
x=y*0.00001

retard

[Anonymous No.11403691]

>>11403678
That makes sense. So, the eigenvectors associated with the positive real eigenvalues of a function's Jacobian matrix would tell you which directions its increasing and the same for the ones associated with the real negative values?

[Anonymous No.11403695]

>>11403658
>x=0*y

[Anonymous No.11403703]

>>11403695
That's more like it.

[Anonymous No.11403704]

>>11403548
Thanks a lot for all the answers bunch of virgin nerds

[Anonymous No.11403709]

>>11402459
When did you start learning the violin, lad? That's a pretty awesome hobby I wish that I had.

[Anonymous No.11403713]

>>11403691
Yep that's right. This is the basis of Floer-Morse theory in which we assign to each smooth manifold [math]M[/math] with a Morse [math]f:M\rightarrow \mathbb{R}[/math] the index [math]\operatorname{ind}df = n_+ - n_-[/math] at each critical point, where [math]n_\pm[/math] are the number of positive/negative eigenvalues. Morse theorem states that this is a topological invariant.
>>11403709
At 4.

[Anonymous No.11403714]

>>11403704
You're welcome.

[Anonymous No.11403803]

>>11403646
Delta function is a well defined function under integration
>>11403651
Miss type, but you should be able to do the math

[Anonymous No.11403807]

>>11403651
>double
*triple.

[Anonymous No.11403820]

>>11403803
And assuming I should assume the undefined regions are supposed to be 0?

[Anonymous No.11403822]

>>11403820
Unassumingly, yes

[Anonymous No.11403839]

>>11403590
>>11403803
>>11403822
Brainlet test, write a problem so that people will arrive at the answer you intended if they do not make any mathematical mistakes.

[Anonymous No.11403841]

>>11402300
They say the dumbest shit
>”FUCK GROUP THEORY, ITS NOT USEFUL AND IT SUCKS”
You hear this after they fail to apply basic sylow theorems or fail to construct a simple character table

[Anonymous No.11403843]

>>11403839
Do you hate Laplace transforms?

[Anonymous No.11403872]

>>11403843
>Why yes, I do do Laplace transforms and Taylor expansions in my spare time. What gave it away?

[Anonymous No.11403877]

>>11403590
Between -2 and 2 your "function" would be both 3 and x, are you retarded?

[Anonymous No.11403899]

>>11403877
Not the best with LaTeX

[Anonymous No.11403938]

Are triple integrals, double integrals, green, gauss and stokes important for anything in modern research? Or is it just for physicists nowadays?

[Anonymous No.11403949]

>>11403899
It's undefined between - 2 and - 1 as well as 1 and 2, assuming the - 2 and 2 were switched

[Anonymous No.11403953]

>>11403938
stokes is pretty fundamental in differential geometry, which is an entire goddamn field

[Anonymous No.11404004]

>>11403949
untrue

[Anonymous No.11404046]

>>11404004
Either that, or, as written, it is x everywhere and double valued as 3 between -1 and 1

[Anonymous No.11404087]

>>11400180
Some /a/sswipe is flooding the thread with low-quality anime posts, another is accusing people of mass samefagging, and yet another is spamming about iq.... OR they might all be the same person.
In short, just another day on 4chan.

[Anonymous No.11404092]

>>11400218
Fearing failure will only cause you to stagnate
Move forward.

[Anonymous No.11404786]

>>11404087
Anime is high IQ.

[Anonymous No.11404825]

>>11404786
I can't remember a single high IQ anime, maybe Akagi (and the other Fukumoto ones) but they didn't even finish it. Mangas on the other hand have some good stuff like PunPun, 20th Century Boys, Aku no Hana, Kaiji, Ginga Tetsudou, Ashita no Joe, Phoenix etc

And even then those are not even comparable to something by Proust, Musil or Joyce.

[Anonymous No.11404841]

>>11403938
In PDE they're directly useful, in differential geometry they have generalizations which are very useful.

[Anonymous No.11404855]

>>11404841
How big of a jump in difficulty are PDEs compared to ODEs?

[Anonymous No.11404892]

>>11404855
Huge
ODEs are child's play, meanwhile PDEs is literally one of the hardest fields to do research

[Anonymous No.11404899]

>>11404825
Silence, DOG. Return to your kennel AT ONCE.

[Anonymous No.11404922]

What's the most aesthetically pleasing field of math?

[Anonymous No.11404948]

>>11404922
Differential geometry or fractals it's quite beautiful

[Anonymous No.11404965]

>>11404855
There is nothing even close to picards theorem for PDEs.

[Anonymous No.11405074]

Does anyone have anxiety and do you think meds for it?

I have pretty terrible anxiety and I think it is affecting my test scores because I cannot think during exams because of it. But not sure if the meds help you think or just make you slow.

[Anonymous No.11405097]

Why is 'physics' considered a field of its own? Shouldn't it just be a subfield of Model Theory?

[Anonymous No.11405347]

>>11405074
They don't "help you think", they just weaken the physical panic response.

Medication is generally only helpful if you have severe physical symptoms of panic (e.g. nausea/vomiting, difficulty breathing or swallowing, uncontrollable shaking, etc.) These things make it physically difficult to write tests at all, and meds will take enough of the physical edge off that you can sit down and at least try.
If you can get an 80 on a test and you just blank on a few questions because of nerves, this isn't the kind of thing that will be improved by benzos.

[Anonymous No.11405504]

>>11396008
I've just realized that rejecting Cantor diagonalization is the mathematical equivalent of being a flat-earther

[Anonymous No.11405517]

>>11405504
No, the flat-earth mathematical equivalent is not believing 0,999...=1

Cantor's too sophisticated for those people

[Anonymous No.11405592]

>>11405517
>people whho have never actually seen a construction of the reals get confused when you claim that 0.999...=1 and then, instead of telling them that it follows from the formal construction of the reals, give them Euler's maymay nonsense proof
I sure wonder why such a thing happens.

[Anonymous No.11405602]

Hello.
Dear Mathematicians!
Could anyone please give a good scan copy of "Concrete Mathematics: A Foundation for Computer Science"?

[Anonymous No.11405671]

>>11405602
>Mathematecians spoonfeed me now! I'm too dumb to search for myself!
Yeah no, and the next time I'll ban you, be warned.

[Anonymous No.11405717]

>>11396004
What kind of mental math is the average person capable of by age 30? I'm not 30 but I'm interested in this topic. Like what kind of math, and this is without scratch paper, should these ages be able to complete on the fly? Ages 5,10,15,20,25, and 30.

[Anonymous No.11405736]

>>11396004
University of Alberta opinions?

[Anonymous No.11405816]

>>11405097
Because physics is not about theory. Physics is all about experiment. Physical theories have two purposes: explain result of past experiments and predict results of future experiments.

[Anonymous No.11405849]

>>11405717
Derivatives of simple polynomials and trigonometric functions would be an obvious one.

[Anonymous No.11405858]

>>11405602
literally just search up concrete math pdf and you'll find it in the first 5 searches
if not, libgen is your friend

[Anonymous No.11405923]

Quick rundown on Jacobi elliptic functions?

[Anonymous No.11405971]

>>11402435
>Do you guys still have hobbies or anything like that?
Not really. My life is dominated by maths an an eating disorder. I do, occasionally, chop some wood or fish etc in Runescape while thinking about stuff.

[Anonymous No.11405996]

>>11404855
That depends on what you mean. People don't study easy ODEs. They study highly nonlinear ones and dynamical systems with very strange behavior.
On the other hand, there are questions left to be answered even about many linear PDE. So they're much harder as a whole, but the types of questions you ask are a little tamer (say, does this nonlinear PDE have unique solutions for given initial conditions? do solutions have conserved quantities? are they stable under perturbations? etc.) Such questions are easily answered for ODEs, but people don't study those questions, they study much more difficult ones.

[Anonymous No.11405997]

>>11405074
You need to learn how to take 30 seconds and focus on yourself, just breathe, and regain your concentration during exams. This is a skill you can learn.

[Anonymous No.11406003]

>>11405971
Being a mathematician who pursues success is hard, man, I truly envy those third rate university mathematicians, they've so much free time, they look so happy and satisfied with life, but I could never live like that, in mediocrity.

I guess this is the only path for us, giving up everything for math, it might be a worthy sacrifice.

[Anonymous No.11406029]

>>11406003
Dude youre on 4chan

[Anonymous No.11406035]

>>11404855
Of course, no field is harder than any other in maths. You merely need to consider that the utility function of the average mathematician is centered around academic cred and apply the techniques of classical microeconomics to obtain a proof.

[Anonymous No.11406039]

>>11406029
/sci/ is a completely different beast than any other board, I estimate the average IQ here to be around 130, most of the posts and discussions are actually very high level and inside this board there's /math/ which is even above normal /sci/ discussions.

So yes, I proudly say that I am on 4chan.

[Anonymous No.11406052]

>>11406039
I think you're gravely overestimating the average IQ here, if only because the only good thing to come out of these threads was a single proof years ago and that was probably just one person. And it effectively got scooped by two other mathematicans who contributed nothing to the paper and still got to slap their name on it (both ahead of the third author 'An Anonymous 4chan user'.)

[Anonymous No.11406060]

>>11406052
Maclaurin got an entire series name after him for work he contributed nothing to.

[Anonymous No.11406065]

>>11406052
>the only good thing to come out of these threads was a single proof years ago
What about the friends we made along the way?

[Anonymous No.11406074]

>>11406052
They did contribute to it, they made it rigorous and made a video out of it. Also, even if people don't post anonymously papers here doesn't mean they don't work on any, it's just that most people want recognizement. Sci and /math/ in particular has a lot of high level mathematicians, Misha Verbinsky posts here ffs

[Anonymous No.11406075]

>>11406039
>>11406052
/sci/ has a lot of idiots, average IQ is probably 110. However, there are one or two big brains that frequent here.

Most people reading this will think I'm talking about them; no, you're statistically a schizo.

[Anonymous No.11406078]

>>11406074
Would Gauss have posted here?

[Anonymous No.11406085]

>>11406065
BITCH I CAN'T GET TENURE BY MAKING FRIENDS

[Anonymous No.11406087]

>>11406078
he probably would have called us faggots then go on to "invent" non-eucledian algebra after peeking at some Romanian boi's papers

[Anonymous No.11406095]

>>11406078
Gauss would be just average by today's standards, he was also religious and a family guy so I doubt he'd post here. Cantor, Wittgenstein, Russell, Felix Klein, Perelman were more likely to post here.

[Anonymous No.11406098]

>>11406095
>Gauss would be just average by today's standards
And how did you come to this conclusion?

[Anonymous No.11406101]

>>11406085
>>11406065
samenigger

[Anonymous No.11406103]

>>11406075
>Most people reading this will think I'm talking about them; no, you're statistically a schizo.
what about us folks who know that you were talking about one or two other people?

[Anonymous No.11406116]

>>11406098
Modern mathematics is infinitely more complex than the math of his time.

[Anonymous No.11406125]

>>11406103
Without schizo magic or big brainedness, you're basically a primate in the halls of /sci/

[Anonymous No.11406232]

wouldn't this just be [eqn]\frac{0}{0}[/eqn]?

[Anonymous No.11406236]

>>11406232
No, because d0 tends towards zero and is not exactly zero.

[Anonymous No.11406239]

>>11406232
>>11406236
x*

[Anonymous No.11406251]

>>11406236
>>11406239
My professor told us one of the first steps is to just plug in what the limit is approaching. So for example
[eqn]1)\ $\lim_{\Delta x \to 0} \frac{c-c}{\Delta x}\\\\
2)\ $\lim_{\Delta x \to 0} \frac{0}{\Delta x}\\\\
3)\ $\lim_{\Delta x \to 0} \frac{0}{0}\\\\
4)\ $\lim_{\Delta x \to 0} 0[/eqn]

Because the top part is 0 and dx is only approaching 0, is that what makes the limit zero?

[Anonymous No.11406274]

>>11406232
[math] \delta x \ \leftarrow \ 0 [/math]

[Anonymous No.11406278]

>>11406274
[math] \Delta x \ \rightarrow \ 0 \ \text{It's not zero [/math]

[Anonymous No.11406283]

>>11406278
>\Deltax\\rightarrow\0\\text{It'snotzero
Bro, you just posted cringe.

[Anonymous No.11406286]

>>11406274
[math] \Delta x \ \rightarrow \ 0 [/math]

[Anonymous No.11406289]

>>11406125
me count rock
1 rock
2 rock
.
.
.
n rock

[Anonymous No.11406290]

>>11406286
[math] \text{it's not zero} [/math]

>>11406283
I'm still learning LaTeX, cunt

[Anonymous No.11406293]

Self studying analysis here, starting to look at continuity. I want to show that the polynomials are continuous everywhere they're defined but I'm not really sure how to go about this. If one took an arbitrary function [math]f:D\rightarrow\mathbb{R}[/math] with [math]D\subset\mathbb{R}[/math] and showed that [math]\forall x_0\in D[/math], there exists a sequence [math]\{x_n\}[/math] such that [math]\lim_{n\to\infty} \{x_n\} = x_0[/math] and [math]\lim_{n\to\infty} \{f(x_n)\} = f(x_0)[/math] this would show the function is continuous on its domain and it wouldn't be too hard to show this for polynomials specifically. My question is, would induction be the proper way to go about showing an arbitrary function is continuous on its domain? Would I have to construct a set of convergent sequences for a given domain?

[Anonymous No.11406298]

>>11406293
>[/math]with[math]
Dude, if you want to write text in LaTeX you gotta write it like
>\text{}

[Anonymous No.11406304]

>All these LaTeXlets
Do people not do assignments in LaTeX or something?

[Anonymous No.11406305]

>>11406298
Sorry, I think I fucked up a couple tags there. It should read

[math]f:D\rightarrow \mathbb{R}[/math] with [math]D \subset \mathbb{R}[/math]

[Anonymous No.11406307]

>>11406304
I use emojis for variable names. My professor accepts them.

[Anonymous No.11406308]

[math]n+1 \text{rocks}[/math]

[Anonymous No.11406311]

ugg smash rock ugg now have [eqn]n - 1 rocks[/eqn]

[Anonymous No.11406313]

UGG HAVE BIG ROCK
UGG SMASH ROCK HALFY
UGG HAVE TWO ROCK
UGG SMASHY ROCK
UGG HAVE FOUR ROCK
UGG WILL ALWAYS HAVE ROCK

[Anonymous No.11406314]

>>11406311
UGG ROCK SMALLER ROCKS
UGG NO UNDERSTAND

[Anonymous No.11406317]

>>11406308
>>11406311
[math] n-1 \ \or \n+1 \ \text{rocks} [/math]

There you go, brainlet

[Anonymous No.11406320]

>>11406305
No dude, you don't need to do two [math] tags just write
>\text{}
In the part where you want to write text

[Anonymous No.11406323]

>>11406317
ugg magic man !!!!
ugg you make more rock!!!

[Anonymous No.11406335]

>>11406323
>Struggling with money
>Parents stop giving me any
>Can't find high/middle schoolers to give lessons
>Goes to Tinder in order to find some thot to fuck this weekend
>Gets one match
>It's a middle school teacher
>She's very into me
Holy fucking shit, God is fucking real, I'm gonna fuck her and pretend I love her while I manipulate her to get me a lot of students hehe

[Anonymous No.11406341]

>>11406335
Nice LARP.

[Anonymous No.11406349]

>>11406341
It's real bro, I'm still stunned, she's 12 years older than me but that's ok, I really need students right now, I'm desperate

[Anonymous No.11406354]

>>11406335

[Anonymous No.11406367]

>>11406349
If you have a degree (presumably in math), why not just apply to work full time at a university's math department where you help tutor, lead review sessions, etc.?

[Anonymous No.11406371]

>>11406367
I'm still in college, halfway through it, it's just that I decided to live alone but all i can do is teach math, so I need lots of students every month.

I'm worried, she's not replying, fuck...

[Anonymous No.11406377]

>>11406371
What if she's reading this thread?

[Anonymous No.11406383]

>>11406367
>why not just apply to work full time at a university's math department where you help tutor, lead review sessions, etc.?
Depends on the kinda Uni

If it is a Community or Jr College, dont. The students there just want you to answer their homework questions for them. I unfortunately know this from experience.

At a Liberal Arts college this might work.

At a State Uni, you will always be the first on the chopping block to be terminated if budget issues ever arise. Also you're at the mercy of the Faculty's collective PMS cycle

Anything above that, they would probably ask what you even do there before ignoring your resume

[Anonymous No.11406386]

>>11406377
Yeah, a middle school teacher that's bad at math is reading 4chan kek

[Anonymous No.11406391]

>>11406386
Just because you teach middle school doesn't mean your bad at math. There was a Princeton grad who had her PhD in mathematics that decided to teach pre-school.

[Anonymous No.11406396]

>>11406391
sounds like a fucking waste of Princeton's time to me

[Anonymous No.11406400]

>>11406396
Look her up, Sasha Fradkin. She seems to be happy doing what she's doing.

[Anonymous No.11406436]

>>11406085
In fact, I'd hazard to guess that making friends is how many, many people get tenure.

[Anonymous No.11406445]

>>11406251
>Because...
Yes. Before you take the limit, the denominator is a nonzero number. Zero divided by any nonzero number is zero.
Your professor is right in that sometimes you plug in zero for the limit, but you don't always do that. You typically simplify as much as you can first.

[Anonymous No.11406476]

What are the odds that Navier-Stokes is solved within our lifetimes?

[Anonymous No.11406499]

>>11406476
>Solved
There's nothing to be solved, it needs to be proved, brainlet

[Anonymous No.11406505]

>>11406499
Semantics.

[Anonymous No.11406510]

>>11406293
1. sum of continuous functions is continuous
2. products of continuous functions are continuous
3. [math]\operatorname{id}[/math] is continuous
4. ???
5. viola.

[Anonymous No.11406511]

>>11406510
Violas are the laughing stock of orchestras, just like computer scientists in STEM fields.

[Anonymous No.11406513]

>>11406511
>Just like the civil engineers in STEM fields
Fixed.

[Anonymous No.11406552]

>>11405736
The prof I really like did his masters/phd there under Dr. Anthony To-Ming Lau and apparently had a very good experience, so that's a positive in my books

[Anonymous No.11406568]

>Klein bottle
>Möbius strip
>Gabriel's horn

[Anonymous No.11406574]

>>11406065
>What about the friends we made along the way?
Not a single person worth befriending after OHP disappeared.

[Anonymous No.11406621]

>>11406505
Math is structurally just a game of words.

[Anonymous No.11406952]

>>11396004

Categories are just algebraic encodings of generalized spaces whose points are functors and whose homotopy classes are natural transformations. Prove me wrong.

[Anonymous No.11407566]

>>11406232
No. In the limit, while you’re plugging in to get an answer via basic calculus, emotionally what you should be expecting is this:
[math] \Delta x [/math] is an arbitrarily small number that’s not zero, and for our our purposes it can be either positive or negative. By arbitrarily small, I mean that it can be *any* small number whose absolute value is greater than zero. What continuity roughly means is that every small difference between that fraction and the limit of the fraction corresponds to some small difference between [math] \Delta x [/math]. We can see that since the function is c everywhere, for any [math] \vert \Delta x \vert > 0 [/math], the fraction in the limit evaluates to zero, so we see its limit is zero.
There are limits far more nontrivial analyze, and I’m sort of oversimplifying, but this is why it’s just 0 and not 0 / 0. You have to be comfortable with the idea of approaching a number versus never actually equaling it, since we’re talking about behavior here

[Anonymous No.11407568]

>>11407566
*small difference between [math] \Delta x [/math] and 0.

[Anonymous No.11407589]

>>11406952
You're literally correct.

[Anonymous No.11407590]

>>11407566
ugg count rock
ugg break rock into more rock
can ugg break rock to have more rock then ugg can count?

[Anonymous No.11407622]

>>11407590
The stupid finitists comes rolling as soon as you mention continuity.

[Anonymous No.11407700]

>>11407699
new
>>11407699