/mg/ maths général: l'édition galoisienne

File: 97 KB, 480x480, Evariste_galois-480x480.jpg [View same] [iqdb] [saucenao] [google]

/mg/ maths général: l'édition galoisienne Anonymous Sun Mar 1 21:45:46 2020 No.11432923 [Reply] [Original]

talk maths, formerly >>11428737

in honor of the brainlets of >>11429635 who never learned any Galois theory until grad school, post when you first learned Galois theory

>>	Anonymous Sun Mar 1 21:55:53 2020 No.11432945 Freshman year tbqh.

>>	Anonymous Sun Mar 1 21:57:21 2020 No.11432950 >>11432923 Learned it in my third year at university. I was also taking Group Theory and Computer Algebra concurrently, along with some philosophy course. It was probably my favorite semester. We used A Course in Galois Theory by DJH Garling.

Anonymous Sun Mar 1 21:59:37 2020 No.11432956

>>11432923
>in honor of the brainlets of >>11429635 who never learned any Galois theory until grad school, post when you first learned Galois theory
A full course on Galois theory in third year, a section of fourth year general algebra, and a section of fourth year algebraic number theory.

>>	Anonymous Sun Mar 1 22:00:41 2020 No.11432960 lang's algebra sometime in the last three years

>>	Anonymous Sun Mar 1 22:01:56 2020 No.11432965 >>11432960 >lang's algebra sometime in the last three years Lang is a meme.

>>	Anonymous Sun Mar 1 22:02:46 2020 No.11432970 >>11432965 yeah but it's the fucking best

Anonymous Sun Mar 1 22:15:03 2020 No.11432992
File: 146 KB, 517x684, 1575987312330.jpg [View same] [iqdb] [saucenao] [google]

Always read the original first, and ignore textbooks. Textbooks are usually written by ignorant people. It is always best to read authors that know the subject, so original papers are best unless they are so old they start speaking latin.
https://anonfile.com/Nci8BcE9nf/
https://anonfile.com/Haj5B9E5n5/
https://anonfile.com/Z6j9B9Ecna/
https://anonfile.com/1fj9BcE7nd/
This should be enough to get you going. Remember: math is fun. Don't forget to have fun.

>>	Anonymous Sun Mar 1 22:38:12 2020 No.11433040 >>11432923 >gets called out for being a lying sack of shit and has to make a separate thread disguised as a math general to save his online self-esteem Massive cope OP.

>>	Anonymous Sun Mar 1 23:12:12 2020 No.11433098 File: 932 KB, 2480x3189, __yakumo_yukari_touhou_drawn_by_rin_falcon__bfcf18125349817c757d4cc36d1d72cf.jpg [View same] [iqdb] [saucenao] [google] I haven't learned Galois theory AMA

>>	Anonymous Sun Mar 1 23:14:32 2020 No.11433107 >>11433098 >I haven't learned Galois theory AMA Mathematicians use "we", not "I".

>>	Anonymous Sun Mar 1 23:16:00 2020 No.11433109 >>11432923 Who's the /cuteboy/ in OPs pic?

>>	Anonymous Sun Mar 1 23:21:56 2020 No.11433116 >>11433109 Elliot Rodgers

>>	Anonymous Sun Mar 1 23:23:51 2020 No.11433119 Still have not learned it, but I expect to next year. I don't WANT to, to be sure. I never intended to waste much more time with algebra than I needed.

>>	Anonymous Mon Mar 2 00:36:30 2020 No.11433220 i'm learning abstract algebra right now. its really fun actually. I got a giggle from the rng and rig thing.

>>	Anonymous Mon Mar 2 00:45:53 2020 No.11433239 File: 1.80 MB, 1202x910, physical maths.png [View same] [iqdb] [saucenao] [google] Threadly reminder to work with physicists.

>>	Anonymous Mon Mar 2 00:54:59 2020 No.11433255 >>11433239 No, fuck physics. Math is best when not applied to lame physics.

>>	Anonymous Mon Mar 2 01:08:22 2020 No.11433285 >>11433255 This meme needs to die.

Anonymous Mon Mar 2 01:59:06 2020 No.11433360
File: 94 KB, 650x440, Grothendieck.jpg [View same] [iqdb] [saucenao] [google]

I'm pickin' up good fibrations
He's giving me the excitations (oom bop bop)
I'm pickin' up good fibrations (good fibrations, oom bop bop)
He's giving me the excitations (excitations, oom bop bop)
I'm pickin' up good fibrations (oom bop bop)
He's giving me the excitations (excitations, oom bop bop)
I'm pickin' up good fibrations (oom bop bop)
He's giving me the excitations (excitations)

Anonymous Mon Mar 2 02:36:01 2020 No.11433402

>>11433239
>>11433285
>>11433255
If you look closely, you'll see that the physicist in the turtle neck on the top left is feynman, while the physicist in the turtle neck having trouble with math in the bottom left is not feynman. Really makes you think.

>>	Anonymous Mon Mar 2 02:45:39 2020 No.11433415 File: 1.37 MB, 1140x4777, official mg curriculum.png [View same] [iqdb] [saucenao] [google]

>>	Anonymous Mon Mar 2 08:03:12 2020 No.11433818 File: 81 KB, 1314x683, Ugg Thesis.jpg [View same] [iqdb] [saucenao] [google] Ugg finish research on rock

>>	Anonymous Mon Mar 2 08:06:26 2020 No.11433824 >>11432923 >l'édition galoisienne Is there a downloadable catalog of 49487365422 groups of order 1024? Are groups of order 2048 classified?

>>	Anonymous Mon Mar 2 08:43:37 2020 No.11433865 >>11433415 Followed this list for High School with some added topics. But still failed my calc 1 test in community college LUL

>>	Anonymous Mon Mar 2 10:49:30 2020 No.11434053 File: 45 KB, 803x592, mechanic.jpg [View same] [iqdb] [saucenao] [google] >>11433865 >community college That's your problem right there. You should already be in MIT.

>>	Anonymous Mon Mar 2 11:02:54 2020 No.11434078 I just noticed that delta(abc) = delta(a)+delta(b)+delta(c). Does this mean that the dirac delta function is related to the logarithm somehow?

>>	Anonymous Mon Mar 2 11:05:20 2020 No.11434086 File: 590 KB, 1020x689, __matara_okina_touhou_drawn_by_onikobe_rin__f799a3ecdb51fd82c8d1fb903f96e89e.jpg [View same] [iqdb] [saucenao] [google] >>11432568 FUCK >>11433360 Kek.

>>	Anonymous Mon Mar 2 11:23:30 2020 No.11434128 >>11432923 Like in fourth year university, but I was in a kind of general natural science study, so we learned a lot about ecology, biochemistry, relativity etc. and not a lot yet on math.

>>	Anonymous Mon Mar 2 11:59:05 2020 No.11434227 >>11433220 Great. Read Lang's Algebra and come back, undergrad trash.

Anonymous Mon Mar 2 12:01:47 2020 No.11434239

Question to math chads here to help a brainlet out. A guy I know is flexing about working in a job that supposedly involves "high level math modelling". Here are his claims

1) Works as a consultant and earns pretty well.

2) Claims he helps companies solve their problems using primarily convex optimization. He wants to do a phd on operations research.

Is he overhyping his math cred?

Is

Anonymous Mon Mar 2 12:01:48 2020 No.11434238

>>11434078
What? Completely false. delta(a*b*c) is a functional which evaluates a function at the point a*b*c. delta(a) + delta(b) + delta(c) is a functional which evaluates a function at the points a, b, and c, and then sums the results. Totally different, even on the constant 1 function.

Anonymous Mon Mar 2 12:03:58 2020 No.11434248

>>11434239
He is hyping somewhat, and that's what people in this thread will definitely tell you, but realistically optimization is mathematically interesting and still has plenty of difficult problems. I just doubt he does as much math as he says, it's probably more computer science. The math behind it is great though.

>>	Anonymous Mon Mar 2 12:08:18 2020 No.11434258 >>11434238 I meant to integrate

>>	Anonymous Mon Mar 2 12:17:09 2020 No.11434284 >>11434258 What the fuck are you on about? Do you know what the dirac delta is?

>>	Anonymous Mon Mar 2 12:25:41 2020 No.11434307 File: 58 KB, 1039x856, 1566319963930.png [View same] [iqdb] [saucenao] [google] >>11434284

>>	Anonymous Mon Mar 2 12:25:45 2020 No.11434308 >>11434248 He claimed he is a science guy(most likely CompSci). Someone else told me he very likely works with applied math and doesn't do anything interesting himself if he is a consultant.

Anonymous Mon Mar 2 12:38:23 2020 No.11434339
File: 397 KB, 759x580, u17.jpg [View same] [iqdb] [saucenao] [google]

>>11434078
>>11434307
Are you sure that's not the Kronecker delta?
Either way, the delta is nonzero whenever x is 0, so delta(f(x)) is nonzero whenever f(x) zeroes. The sum thing follows naturally.

>>	Anonymous Mon Mar 2 12:46:23 2020 No.11434361 >>11434339 That looks like Dirac to me.

>>	Anonymous Mon Mar 2 13:13:35 2020 No.11434423 >>11433098 how's highschool?

>>	Anonymous Mon Mar 2 13:14:38 2020 No.11434427 >>11433109 >filename

>>	Anonymous Mon Mar 2 14:01:13 2020 No.11434528 Post theorems that fall firmly under the 'holy based' category: >Generalized Stoke's theorem >Cauchy's residue theorem

>>	Anonymous Mon Mar 2 14:17:04 2020 No.11434561 >>11434427 And topic.

>>	Anonymous Mon Mar 2 15:14:49 2020 No.11434701 >>11434528 Poincaré duality

>>	Anonymous Mon Mar 2 15:15:43 2020 No.11434704 File: 113 KB, 827x827, __kirisame_marisa_touhou_drawn_by_manarou__d705e5e4fd843c81e766db646fa796a9.jpg [View same] [iqdb] [saucenao] [google] >>11434528 >generalized Stokes >not also mentioning the generalized method of residues

>>	Anonymous Mon Mar 2 16:53:53 2020 No.11434919 Group Theory was fun, but holy mother fucking fuck, algebra is otherwise so fucking tedious and ugly and completely not fun.

>>	Anonymous Mon Mar 2 17:16:21 2020 No.11434945 File: 31 KB, 403x500, 1559560894039.jpg [View same] [iqdb] [saucenao] [google] >>11434528 Uniform boundedness principle

>>	Anonymous Mon Mar 2 17:32:28 2020 No.11434990 >>11434528 Fundamental theorem of algebra :^)

>>	Anonymous Mon Mar 2 17:34:10 2020 No.11434997 >>11434528 barnett integrable functions

>>	Anonymous Mon Mar 2 17:35:03 2020 No.11435001 File: 70 KB, 550x679, 1580160413951.jpg [View same] [iqdb] [saucenao] [google] >>11433239 fuck physics

>>	Anonymous Mon Mar 2 18:12:04 2020 No.11435110 >>11435001 [math]e=3=\pi[/math]

>>	Anonymous Mon Mar 2 20:43:53 2020 No.11435414 >>11434528 >Post theorems that fall firmly under the 'holy based' category: Zeta universality

Anonymous Mon Mar 2 21:00:47 2020 No.11435454

Given a closed rectangle R=[a_1,b_1]x...x[a_n,b_n] in R^n how can I say that there is a partition P of R such that the n-volume of each subrectangle is less than ε/k where k is the number of subrectangles B such that B ∩ δR is non-empty (subrectangles that intersect the frontier of R) and ε is arbitrary. I know that I can do this but I got no clue on how to prove it and I need it for another proof

>>	Anonymous Mon Mar 2 21:02:08 2020 No.11435457 >>11435454 >I know that I can do this but I got no clue on how to prove it What did he/she mean by this?

>>	Anonymous Mon Mar 2 21:03:33 2020 No.11435460 >>11435457 I mean that geometrically it makes sense but don’t know how to prove it

>>	Anonymous Mon Mar 2 21:06:22 2020 No.11435465 >>11435457 Intuition bro, do you have any?

>>	Anonymous Mon Mar 2 21:07:50 2020 No.11435467 >>11435454 >>>/wsr/ >>>/sci/sqt

Anonymous Mon Mar 2 21:18:13 2020 No.11435487

>>11432923
Rate my Algebra I curriculum, should I take it as a non math major?

Unit 1:
>Groups
>Subgroups
>Order
>Cyclic groups
>Normal and quotient subgroup
>Coungruence
>Homorphisms
>internal Automorphisms
>representation of finite groups using permutations and rings
>The symmetric group

Unit 2:
>Rings
>Special classes of rings
>Ideals and Quotient ring
>Homomorphisms
>Localization
>Body of fractions
>Principal Ideal euclidian domains
>Unique factorization euclidian domains

Unit 3
>Polynomial rings
>The Polynomial ring [math]K[x][/math]
>[math]K[/math] as a body
>Arithmetic of [math]K[x][/math]
>Ideals of [math]K[x][/math]
>Polynomials of several variables

Unit 4:
>Bodies
>Algebraic and transcendental extensions
>Body of a polynomials factorization

Seems pretty interesting, also, this is for a 12 week semester

>>	Anonymous Mon Mar 2 21:19:26 2020 No.11435488 >>11435487 Shit, I meant >Representation of finite groups using permutations and matrixes

>>	Anonymous Mon Mar 2 21:23:00 2020 No.11435495 >>11435487 >12 week semester Is this summer school, where you take 3 hour classes?

>>	Anonymous Mon Mar 2 21:24:53 2020 No.11435502 >>11435495 No, we have a 4-6 class hours weeks and 3 semesters a year

>>	Anonymous Mon Mar 2 21:42:15 2020 No.11435523 File: 166 KB, 850x620, sample_6c967a19affecc9c7ac6ccf903c2ac6bb42a3de3.jpg [View same] [iqdb] [saucenao] [google] >>11435487 >bodies >t. romance language speaker It's a field in english.

>>	Anonymous Mon Mar 2 21:45:56 2020 No.11435528 My gf broke up with me 10 days ago and I still can't do math because it reminds me of her. What the fuck do I do?

>>	Anonymous Mon Mar 2 21:48:24 2020 No.11435533 >>11435528 >What the fuck do I do? What have you tried?

>>	Anonymous Mon Mar 2 21:49:08 2020 No.11435536 >>11432923 Had Galois theroy just this (3rd) semester in uni. Really like it, but I don't understand normal closures fully yet.

>>	Anonymous Mon Mar 2 21:51:59 2020 No.11435540 >>11435523 Ah cool bro.

>>	Anonymous Mon Mar 2 21:54:07 2020 No.11435548 >>11435528 Jesus man that sucks. Go lift or something, that'll take the edge off.

>>	Anonymous Mon Mar 2 21:57:32 2020 No.11435551 File: 27 KB, 128x128, 8885_blini.png [View same] [iqdb] [saucenao] [google] anyone have any experience with Hatcher's algebraic topology? im getting exposed as a brainlet in my last year of undergrad and need help.

>>	Anonymous Mon Mar 2 21:57:33 2020 No.11435552 >>11435536 What class? Abstract algebra II?

Anonymous Mon Mar 2 22:41:55 2020 No.11435624

>>11434307
>>11434339
>>11434361
What are you people on about?
The dirac delta is not a function that you can evaluate at points. It is often written as though it's a density for the lebesgue measure, like the point measure at 0, delta(x)dx, but this is shit notation created by engineers and physicists because they didn't understand what was going on.
The dirac delta functional is a linear functional on a given function space, usually a space of continuous functions over some pointed topological space. What it does is take a function and send it to the value of the function at the point. The linear functionals on such a space are in correspondance to a suitable set of measures on the space, and the delta's measure is the point measure at your point. i.e., sets have measure 1 if they contain the point and measure 0 otherwise. Integration with respect to this measure is evaluation of a function at the point.
Now, due to the radon nikodym theorem in L^1, you want to write this measure as h(x)dx for some standard measure on your space - for R this is obviously Lebesgue. But surprise surprise, you cannot do this with a point measure because point evaluation makes no sense in L^1.
But people do so anyway because they're idiots, and the whole theory of distributions (linear functionals on smooth function spaces) was developed as a band aid. Indeed, the delta is a distribution which acts on functions. It makes absolutely no sense to say delta(a) where a is a number, unless you mean the constant function at that number, in which case delta(a) = a and your identity doesn't hold. And if you meant for a, b, c to be functions, it is certainly not always true that a(0)b(0)c(0) = a(0) + b(0) + c(0).

>>	Anonymous Mon Mar 2 22:44:40 2020 No.11435629 >>11435551 Hatcher is a fucking meme, shit book for hacks. Fuchs-Fomenko is the best alg top book.

>>	Anonymous Mon Mar 2 22:49:08 2020 No.11435642 >>11435629 >Fuchs-Fomenko is the best alg top book. You better not be memeing me, anon. I'm about to get it.

>>	Anonymous Mon Mar 2 22:58:41 2020 No.11435664 >>11435642 GET it? it's online, why buy it?

>>	Anonymous Mon Mar 2 23:08:38 2020 No.11435681 File: 65 KB, 1068x601, Gigachad.jpg [View same] [iqdb] [saucenao] [google] >>11435664 >Why yes, I do prefer physical copies of everything. How did you guess?

>>	Anonymous Mon Mar 2 23:10:13 2020 No.11435683 >>11435681 why not just go through the first chapter or two online first? it's a very, very difficult book. i don't recommend it if you don't have a good amount of topology and basic algebra background.

>>	Anonymous Mon Mar 2 23:14:15 2020 No.11435693 >>11435629 >brainlet struggling with Hatcher >well you see, the problem is that you aren't reading this Soviet megamind graduate+ textbook

>>	Anonymous Mon Mar 2 23:31:14 2020 No.11435726 >>11435683 Yeah, this is definitely a bit above my paygrade. Are there any undergrad books on algebraic topology you recommend?

>>	Anonymous Mon Mar 2 23:47:14 2020 No.11435762 File: 1.26 MB, 1080x1920, Screenshot_20200303-004614.png [View same] [iqdb] [saucenao] [google] >>11435693 The books images are fucking cool as shit.

>>	Anonymous Tue Mar 3 00:21:14 2020 No.11435832 File: 2.62 MB, 2002x1438, yukari_pranked.png [View same] [iqdb] [saucenao] [google] >>11434528 GNS construction.

>>	Anonymous Tue Mar 3 01:27:37 2020 No.11435912 File: 341 KB, 750x967, no go.jpg [View same] [iqdb] [saucenao] [google] >>11435726 >undergrad undergrad?

>>	Anonymous Tue Mar 3 01:29:40 2020 No.11435915 >>11435912 Why do we hate undergrads, again?

>>	Anonymous Tue Mar 3 01:39:04 2020 No.11435923 File: 22 KB, 350x266, oswald tea.png [View same] [iqdb] [saucenao] [google] >>11435915 >we we? doesn't seem like you hate them.

>>	Anonymous Tue Mar 3 01:58:36 2020 No.11435934 >>11435487 needs more sylow and galois

>>	Anonymous Tue Mar 3 06:21:33 2020 No.11436229 >>11432992 >he can't read Latin

>>	Anonymous Tue Mar 3 07:40:45 2020 No.11436346 >>11434078 That’s wrong, if I understand your notation, it would be the max of {delta(a), delta(b), delta(c)}

Anonymous Tue Mar 3 11:18:26 2020 No.11436809
File: 237 KB, 850x1167, __hakurei_reimu_cirno_and_gordon_ramsay_touhou_and_1_more_drawn_by_yoruny__sample-cc31e9210c22b307fd483c8dc9aef8be.jpg [View same] [iqdb] [saucenao] [google]

>>11435693
He could be telling him to read Whitehead, tho.
>>11435915
Because they come in asking retarded shit about muh recs this muh depression that and don't contribute with either good posts or actually funny shitposts?

Anonymous Tue Mar 3 11:37:54 2020 No.11436861

Sorry to bring my brainlet question to the thread, but have had no luck in the dumb questions thread.
I just am not sure what to do for this one, haven't found anything useful in my notes or the book we're using:

Let p be a prime congruent to 7 mod 9. If a is a cube modulo p, show that a^((p+2)/9) is a cube root of a.

>>	Anonymous Tue Mar 3 11:51:28 2020 No.11436898 >>11436861 a^(p+2) = a^3 so a^((p+2)/3) = a so (a^((p+2)/9))^3 = a

>>	Anonymous Tue Mar 3 11:51:49 2020 No.11436900 >>11435551 If you can draw a picture of the what's going in the exercise then you've done half the work.

>>	Anonymous Tue Mar 3 11:56:18 2020 No.11436907 I actually understand the proof of Cauchy's Integral theorem

>>	Anonymous Tue Mar 3 12:00:44 2020 No.11436917 File: 251 KB, 300x244, Cauchy's residue theorem.gif [View same] [iqdb] [saucenao] [google] >>11436907 Now do the residue theorem.

>>	Anonymous Tue Mar 3 12:02:01 2020 No.11436920 >>11436898 >a^(p+2) = a^3 But where is this part coming from?

>>	Anonymous Tue Mar 3 12:06:15 2020 No.11436930 >>11436917 Let me try to break this down to see if I understand it. You take some region G, and some function f that is holomorphic on U sans finitely many holes. That's about as far as I can get

>>	Anonymous Tue Mar 3 12:07:29 2020 No.11436934 >>11436917 Something something de Rham cohomology.

>>	Anonymous Tue Mar 3 12:10:09 2020 No.11436941 >>11436920 fermat's little theorem a^p = a

>>	Anonymous Tue Mar 3 12:11:58 2020 No.11436944 >>11436941 Fuck. I'm embarrassed. Thank you.

>>	Anonymous Tue Mar 3 12:12:46 2020 No.11436947 >>11436917 >>11436930 I'm curious about winding numbers. Is it possible to create a curve with a fractional winding number? My gut instinct is no

>>	Anonymous Tue Mar 3 12:15:02 2020 No.11436953 >>11436947 >can a closed curve go around a point half a time No.

>>	Anonymous Tue Mar 3 12:16:19 2020 No.11436956 >>11436953 What if the point is on the curve?

>>	Anonymous Tue Mar 3 12:21:04 2020 No.11436964 >>11436956 There are very clear topological obstructions to that (the curve not being defined) and complex analytic ones.

>>	Anonymous Tue Mar 3 12:23:56 2020 No.11436969 >>11436917 Is Cauchy's residue theorem the closest math has come to black magic?

>>	Anonymous Tue Mar 3 12:35:28 2020 No.11437005 >>11432923 Circumcision cannot be mathematically proven to exist

>>	Anonymous Tue Mar 3 12:36:32 2020 No.11437007 My iq is 147

>>	Anonymous Tue Mar 3 12:37:46 2020 No.11437011 >>11437005 Take a cylinder Now partition the cylinder into two distinct parts by dividing the height of the cylinder by 2

>>	Anonymous Tue Mar 3 12:49:04 2020 No.11437043 >>11437011 Unironically kek'd.

>>	Anonymous Tue Mar 3 12:53:27 2020 No.11437051 >>11437011 >>11437043 do you want to see the picture?

>>	Anonymous Tue Mar 3 12:56:14 2020 No.11437057 File: 40 KB, 647x659, 87f.jpg [View same] [iqdb] [saucenao] [google] >>11437051

>>	Anonymous Tue Mar 3 12:56:47 2020 No.11437061 >>11437011 Can I use Ricci Flow to do this?

>>	Anonymous Tue Mar 3 14:17:11 2020 No.11437213 >>11432923 Final year of undergrad. I can't remember what the point of it is though.

>>	Anonymous Tue Mar 3 14:20:16 2020 No.11437220 >>11437061 Nah, only the mean curvature flow.

>>	Anonymous Tue Mar 3 15:20:35 2020 No.11437356 Hey /mg/, if you were to choose one for graduate school and beyond, what language would you learn? French, German, or Japanese? My passion is in Japanese atm but I'm not so certain about the return on investment.

>>	Anonymous Tue Mar 3 15:21:07 2020 No.11437357 >>11437356 Français

>>	Anonymous Tue Mar 3 15:32:48 2020 No.11437386 File: 69 KB, 427x606, 40C839A3-E252-484F-AB32-CF5A941BA1CC.jpg [View same] [iqdb] [saucenao] [google] What do I do after calc. 3?

>>	Anonymous Tue Mar 3 15:33:41 2020 No.11437390 >>11437357 Reason?

>>	Anonymous Tue Mar 3 15:37:48 2020 No.11437408 >>11437390 Your mouth causes extremely pleasurable vibrations on your partner if you speak french while sucking dick.

>>	Anonymous Tue Mar 3 15:41:09 2020 No.11437422 >>11437386 ODEs

>>	Anonymous Tue Mar 3 15:43:15 2020 No.11437431 >>11437390 More widely spoken than the other two languages you mentioned. Makes learning other Romance languages easier.

>>	Anonymous Tue Mar 3 15:44:09 2020 No.11437437 >>11435552 It's just called algebra I

>>	Anonymous Tue Mar 3 15:48:04 2020 No.11437451 >>11437437 What do you call 7th/8th grade math?

>>	Anonymous Tue Mar 3 16:53:27 2020 No.11437638 >>11434528 Dilworth's Theorem (and its dual)

>>	Anonymous Tue Mar 3 16:54:09 2020 No.11437643 >>11437422 any book recommendations?

Anonymous Tue Mar 3 17:01:23 2020 No.11437664

>>11437431
Not that anon but France is cucked and censored beyond belief... and they speak English anyways. There is money to be made translating Japanese papers in mathematics. Plus, Japan has more cultural influence on America than France or Germany. When was the last time you watched french anime? I'm just saying the way geo politics is going it's probably a safer bet to learn Japanese than French.

>>	Anonymous Tue Mar 3 17:31:02 2020 No.11437719 >>11432923 Imagine getting shot and dying in a duel for a literal thot

>>	Anonymous Tue Mar 3 17:32:28 2020 No.11437723 >>11437451 school math i guess? Mostly did simple analysis in 8th grade

Anonymous Tue Mar 3 17:55:07 2020 No.11437790

>>11435523
>>bodies
>>t. romance language speaker
>It's a field in english.
the term comes from not from romance languages, but from the German "Körper"
>>11435487
looks fine, you've got the standard groups-rings-fields sequence with a bit of Galois at the end

>>	Anonymous Tue Mar 3 18:23:35 2020 No.11437863 File: 85 KB, 720x576, 5282022856_d8c342c670_o.jpg [View same] [iqdb] [saucenao] [google] >>11437664 >He never watched Code Lyoko

Anonymous Tue Mar 3 18:29:49 2020 No.11437873

Trying to make myself a road map towards etale cohomology and Deligne's proof of the Weil conjecture.
For now, I'm considering
Atiyah & McDonald (I stopped maths for a few years so I wanna remember the basics)
Neukirch (Algebraic number theory)
Weibel
Qing Liu - Algebraic geometry and arithmetic curves

Would that be enough to then pick up some book on etale cohomology, like Milne, or am I missing something?
Or should I just read SGA then? I'm a french speaker so I can read the original version.

>>	Anonymous Tue Mar 3 19:36:36 2020 No.11438094 >>11437386 calc 4

>>	Anonymous Tue Mar 3 19:47:47 2020 No.11438138 >>11437643 Differential Equations and Linear Algebra (Strang) supplemented with his lectures that are accessible via MIT's website.

Anonymous Tue Mar 3 19:54:33 2020 No.11438160

>>11437790
Cool, thanks.
If I might ask, what was your general impression of algebra? Was it fun to learn? Was it useful (in a math sense, not an engineering sense) ? Should a non math major take it?
I've enjoyed the shit out of the analysis classes I've taken so far but im reluctant to take algebra mostly because it seems very "exotic" and also because I have a heavy-ish courseload next semester including a thesis defense and supposedly algebra is ridiculously hard, at least according to the pure math majors that I've spoken to.

Anonymous Tue Mar 3 22:17:52 2020 No.11438488

>>11437356
As someone who's spent some time on all of those languages, I'm conflicted. D'un côté, j'adore la culture francophone (Canadienne). Aber Deutsch ist Englisch ähnlicher als Französisch, and so it's easier to learn for a native english speaker. For japanese, the money thing that >>11437664
said, however it would definitely be the hardest for an anglophone

>>	Anonymous Tue Mar 3 23:03:45 2020 No.11438583 this is (very) probably a stupid question, but one engineer friend of mine said that he found calc iv way easier than calc ii. would it be a good idea taking calc iv before even starting calc ii?

>>	Anonymous Tue Mar 3 23:04:48 2020 No.11438584 >>11438583 btw I know some integration methods already because we had that in calc i

>>	Anonymous Tue Mar 3 23:07:25 2020 No.11438586 >>11438488 >easier to learn for a native english speaker. No, it isn't, that's one of the greatest lies ever, German and English do share some vocabulary, but in grammar german is much more complex and a lot different.

Anonymous Tue Mar 3 23:09:19 2020 No.11438588

>>11438583
What is calc iv exactly? Since in calc iii you already learn double integrals, triple integrals, green, gauss, stokes etc what's even left? Is it advanced calculus? Analysis? ODEs? In any case it's essential to know calculus ii in order to understand those other subjects

>>	Anonymous Tue Mar 3 23:14:02 2020 No.11438594 >>11434528 fourier inversion theorem spectral theorem

Anonymous Tue Mar 3 23:16:22 2020 No.11438597

>>11437664
That's ridiculous in so many ways. France is the second biggest mathematic country after the US, it has the second most Fields medals, mathematicians from all over the world wishes to work in their research centers, it's also way easier than japanese (you can learn it in six months if you study everyday, maybe even less depending on your intelligence). About the cultural part, France has produced much more than Japan be it in STEM or humanities, in fact it was the cultural center of the world before the US dominated.

From any perspective learning french seems to be the most obvious choice, since it's very useful and very easy at the same time, disregarding a language as 'cuck' is going even below the meaning of the word 'pathetic' and it shows how low /mg/ is falling.

>>	Anonymous Tue Mar 3 23:16:24 2020 No.11438598 >>11438583 You can't do ODEs (which is what I'm assuming calc IV is) without calc II.

>>	Anonymous Tue Mar 3 23:17:59 2020 No.11438600 >>11437356 Also, japanese will take you at least 3 years to get to N2 if you're intelligent, you should learn it as a hobby after learning french (and maybe german as well)

>>	Anonymous Tue Mar 3 23:21:57 2020 No.11438608 >>11438586 Nah, at least the rules are pretty consistent, and really aren't that far. Can't really say the same for french or japanese

>>	Anonymous Tue Mar 3 23:25:07 2020 No.11438620 >>11438588 >>11438598 I think it's to do with vectors? or something? like calculus with vectors rather than scalars?

>>	Anonymous Tue Mar 3 23:38:36 2020 No.11438641 >>11438620 Vector calc? You still need calc 2, also linear algebra.

>>	Anonymous Tue Mar 3 23:49:03 2020 No.11438652 >>11438641 alri. thanks frens

>>	Anonymous Wed Mar 4 00:06:32 2020 No.11438676 File: 594 KB, 1000x950, 1501436287549.png [View same] [iqdb] [saucenao] [google] Hey guys this might be strange to ask but can you post pics of anime girls reading math books? It gets me excited for some reason

Anonymous Wed Mar 4 00:07:30 2020 No.11438677

>>11438597
Again, politics playing a role in developing new mathematics can't be avoided. Were it not for the German scientists coming from World War II, America wouldn't even be no. 1.

Japan is perhaps the second most free nation on Earth after America. Japanese media rarely get censored like it does in other Western countries. In fact they promote mathematics better in their society than in France. You are right now browsing an image board made by a Japanese person.
>France is the second biggest mathematic country after the US
The GDP for france is falling due to immigration and policies to subsequently spend more money for these immigrants.

Compare that to Japan which hasn't seen an immigration increase and Japan's rival, China, being tariffed by the US.

Economically speaking, it makes more sense to learn the Japanese language than French in the current year.

>>	Anonymous Wed Mar 4 00:08:31 2020 No.11438679 File: 1.05 MB, 1000x1375, test (9).png [View same] [iqdb] [saucenao] [google] >>11438676

>>	Anonymous Wed Mar 4 00:15:20 2020 No.11438689 >>11438677 Talk about being a deluded weeb. Keep thinking that you'll 'be free' in Japan being a foreigner. Also try to learn a little more about the history of 4chan if you're going to make comments >like image board made by a Japanese person.

>>	Anonymous Wed Mar 4 00:18:06 2020 No.11438692 >>11438677 >an image board made by a Japanese person. Based retard.

>>	Anonymous Wed Mar 4 00:18:11 2020 No.11438693 >>11438689 Okay Jean du Mohammed Mohammed

>>	Anonymous Wed Mar 4 00:19:14 2020 No.11438696 File: 1.28 MB, 300x300, 1581573833211.gif [View same] [iqdb] [saucenao] [google] >>11438689 >>11438692 >what is 2chan.net Nice outing yourself as complete redditors

Anonymous Wed Mar 4 00:19:50 2020 No.11438698

>OH NOOO, France is taking in refugees and immigrants, all their money is going to them, the government is censoring everything, the whole country is crumbling omg what can we do now France is finished it became an apocalyptical scenario, destroyed buildings everywhere, everything burning down oh noo oh noo what can we do and all that because of damn refugees and immigrants damn it they taking our jobs

>>	Anonymous Wed Mar 4 00:22:22 2020 No.11438703 >>11438698 This but unironically.

>>	Anonymous Wed Mar 4 00:24:50 2020 No.11438707 Isn't École Polytechnique one of the most prestigious math institutions in the world?

>>	Anonymous Wed Mar 4 00:25:19 2020 No.11438709 >>11438696 Wow that's just sad man, at least admit you made a mistake, you know it, we know it.

>>	Anonymous Wed Mar 4 00:25:20 2020 No.11438710 File: 1.34 MB, 1366x768, 1580185802222.png [View same] [iqdb] [saucenao] [google] >>11438698 >retard noises Take an econ class holy fuck

>>	Anonymous Wed Mar 4 00:28:04 2020 No.11438715 >>11438709 I don't have time for losers who don't even have a single argument. >The site was created as a counterpart to the Japanese imageboard Futuba Channel, also known as 2chan https://en.m.wikipedia.org/wiki/4chan#History

Anonymous Wed Mar 4 00:28:04 2020 No.11438716

>>11438707
No shut the fuck up, according to my extensive knowledge gained from living forever in my room France is facing disaster it'll soon be hell on earth because of those godamn refugees, Japan sure is the future, now let me go back to studying japanese, maybe I'll be fluent in 5 years, then they'll sure accept me there, I'll make research on Tokyo U and everyone will respect me hehe I'll be truly free there

>>	Anonymous Wed Mar 4 00:31:40 2020 No.11438723 >>11438696 There's nothing wrong with reddit.

>>	Anonymous Wed Mar 4 00:34:02 2020 No.11438728 >>11438715 We're not posting on a site made by a japanese person, we're posting on a site made by an american but you already know that you're just desperate to cover your mistake now instead of assuming it like a man

>>	Anonymous Wed Mar 4 00:36:51 2020 No.11438733 File: 66 KB, 659x609, so_good.png [View same] [iqdb] [saucenao] [google] >>11438723 >>11438716 >>11438728 Mmm yes give me those (You)s in the end they only make me stronger.

>>	Anonymous Wed Mar 4 02:19:28 2020 No.11438878 >>11438723 >There's nothing wrong with reddit. you have to go back

>>	Anonymous Wed Mar 4 02:27:13 2020 No.11438885 File: 852 KB, 3400x2300, Chad redditor.jpg [View same] [iqdb] [saucenao] [google] >>11438878

>>	AXA Wed Mar 4 02:27:25 2020 No.11438886 >>11433415 What is that last textbook in this list?

>>	Anonymous Wed Mar 4 02:29:45 2020 No.11438888 File: 37 KB, 640x960, 9780691083391.jpg [View same] [iqdb] [saucenao] [google] >>11438886 >What is that last textbook in this list?

Anonymous Wed Mar 4 07:07:15 2020 No.11439153

>>11437664
>Not that anon but France is cucked and censored beyond belief...
Piss off /pol/tard
>and they speak English anyways.
I'm pretty sure most of Grothendieck's works have never been translated. Most french people have an abhorrent level in English.
>There is money to be made translating Japanese papers in mathematics.
See above.
>Plus, Japan has more cultural influence on America than France or Germany.
LOL who cares about America?
>When was the last time you watched french anime?
Ever heard of wakfu, Code lyoko, etc...? BTW I'd you think anime is the peak of culture, you probably never encountered actual culture.
>I'm just saying the way geo politics is going it's probably a safer bet to learn Japanese than French.
Geopolitically France is an UN security council permanent member, french is wildly spoken on every single continent while Japan is a small archipelago in the pacific run by america with a declining population and no one outside of this small island speak their language.

>>	Anonymous Wed Mar 4 08:37:41 2020 No.11439265 >>11432923 Last three digits is Galois IQ

>>	Anonymous Wed Mar 4 09:17:57 2020 No.11439367 I'm learning real anal and my textbook presents definitions for continuity and such with both the sequence definition and the e-d definition. Which one is more useful in practice? Why teach both?

Anonymous Wed Mar 4 09:18:10 2020 No.11439368

>>11439153
>Piss off /pol/tard
I don't need your approval tumblrite
>I'm pretty sure most of Grothendieck's works have never been translated.
Truly we are lost then :(
>Most french people have an abhorrent level in English.
Except for French mathematicans who speak English anyways
>See above.
Pretty sure more Japanese mathematicians don't speak English.

Rest of your post is retarded and not worth responding to.

>>	Anonymous Wed Mar 4 09:24:50 2020 No.11439378 >>11433818 is that a parody of your actual research topic? If so, you should be proud of it! Rocks are cool!

>>	Anonymous Wed Mar 4 09:34:51 2020 No.11439400 >>11439265 The maximum IQ is 200.

Anonymous Wed Mar 4 09:40:20 2020 No.11439408

>>11439367
sequences are easy to handle and so it's usually easy to prove continuity using the sequence definition.
the e-d definition generalizes to definition of continuity in topological spaces which are much more general. e-d continuity always implies the sequential continuity but not vice versa. what can go wrong is that the space might be large enough that you need to use "bigger" sequences indexed by something bigger than natural numbers (these sequences are called nets).

>>	Anonymous Wed Mar 4 09:41:14 2020 No.11439410 >>11439400 >IQ has a cap so the IQ folks can't conceive of an IQ higher then 200? oof

>>	Anonymous Wed Mar 4 09:41:33 2020 No.11439411 >>11439368 Seething

>>	Anonymous Wed Mar 4 10:11:16 2020 No.11439454 >>11439265 Checks ou

>>	Anonymous Wed Mar 4 10:28:48 2020 No.11439489 >>11439378 >Ugg is pioneering Rock Theory while Crunk is still counting using his fingers

Anonymous Wed Mar 4 11:20:23 2020 No.11439572

Baby Fourier analysis question, /sci/.
Let [math]f:\mathbb R\to\mathbb C[/math] be a continuous [math]2\pi[/math]-periodic function, and suppose also that there exists some sequence of trigonometric polynomials which converges to [math]f[/math] uniformly on [math][-\pi,\pi][/math]. Must the Fourier series of [math]f[/math] converge uniformly to it as well?

I know that in general, a function's Fourier series needn't converge uniformly, but here we have the extra assumption that *some* sequence of trig polynomials converges to the function. I also know that for a function such as [math]f[/math], its Fourier series converges to it in the [math]L^2[/math] norm, but I'm not sure how to take it from here.

>>	Anonymous Wed Mar 4 11:25:11 2020 No.11439584 >>11439572 yes

>>	Anonymous Wed Mar 4 11:28:36 2020 No.11439594 >>11438885 cringe & another proof that leftists can't meme

>>	Anonymous Wed Mar 4 11:28:58 2020 No.11439595 >>11439572 The Fourier series is literally the only series of trigonometric polynomials allowed to converge to f.

>>	Anonymous Wed Mar 4 11:34:26 2020 No.11439615 File: 33 KB, 271x231, ded23.jpg [View same] [iqdb] [saucenao] [google] >>11432923 Can you explain this to me ? più means plus meno means minus the solutions are 77 4 B87 6 C79 2 D83 3 E2 79

>>	Anonymous Wed Mar 4 11:58:42 2020 No.11439674 >>11439572 any continuous function f has "some sequence of trigonometric polynomials which converge uniformly to f"

>>	Anonymous Wed Mar 4 12:26:03 2020 No.11439715 >>11438583 this "Calc IV" is probably ODEs and those are pretty mechanistic once you got down derivatives and (single variable) integrals. you literally don't have to think. take it and see for yourself, you can always drop it if it gets too rough

Anonymous Wed Mar 4 12:28:10 2020 No.11439719

Hi friends. I'm reading Fomenko-Fuchs and in the proof of cellular approximation theorem, specifically in the proof of three point lemma the authors claim that instead of using piecewise linear approximations you could use Sard's theorem to prove it. Can someone give me a rough sketch of how that would look like?

>>	Anonymous Wed Mar 4 12:37:46 2020 No.11439743 >>11439719 Sard's theorem immediately implies there are no space covering curves which are smooth, because all their points are critical, and thus the image has measure zero.

>>	Anonymous Wed Mar 4 13:18:12 2020 No.11439805 File: 70 KB, 656x960, 1582753729984.jpg [View same] [iqdb] [saucenao] [google] Can someone help me find that picture where it's some impossibly hard technical lemma and there's a hint that just says "think" ?

>>	Anonymous Wed Mar 4 13:18:56 2020 No.11439808 >>11439743 >because all their points are critical Why is that?

>>	Anonymous Wed Mar 4 13:32:11 2020 No.11439827 >>11439808 maybe read what is the sard's theorem you dumb fuck

>>	Anonymous Wed Mar 4 14:02:33 2020 No.11439892 >>11439594 Math is inherently leftist.

>>	Anonymous Wed Mar 4 14:52:39 2020 No.11440023 File: 59 KB, 640x480, QUTVeuKl.jpg [View same] [iqdb] [saucenao] [google] >>11439805 Is it this one?

>>	Anonymous Wed Mar 4 15:14:28 2020 No.11440085 >>11440023 Yes! Thank you!

>>	Anonymous Wed Mar 4 15:37:45 2020 No.11440136 Suppose we have an exact sequence 0 -> P' -> P -> P'' -> 0 with P' and P projective. Does it follow that P'' is projective? I think it doesn't, but there are quite a few of these 2-out-of-3 things.

>>	Anonymous Wed Mar 4 16:22:11 2020 No.11440223 >>11434997 Underrated

>>	Anonymous Wed Mar 4 16:32:52 2020 No.11440258 >>11440136 >is every module with projective dimension smaller than 2 projective No.

>>	Anonymous Wed Mar 4 16:35:54 2020 No.11440272 File: 79 KB, 259x252, 1574039799154.png [View same] [iqdb] [saucenao] [google] >>11440258 Shit. It's nice to be right, usually, but not this time. Thanks.

>>	Anonymous Wed Mar 4 17:34:38 2020 No.11440361 >>11432923 First semester of second year (undergrad)

>>	Anonymous Wed Mar 4 18:57:33 2020 No.11440475 File: 21 KB, 437x431, upset ryan gosling.jpg [View same] [iqdb] [saucenao] [google] >Proof of Brouwer's fixed point theorem uses category theory

>>	Anonymous Wed Mar 4 19:14:11 2020 No.11440507 >>11440475 Which proof? The algebraic topology one doesn't use anything more than the definition of a functor.

>>	Anonymous Wed Mar 4 19:15:21 2020 No.11440512 >>11440475 you know nothing jon snow if you think that homology and homotopy groups being functors count as "using category theory" in topology

>>	Anonymous Wed Mar 4 19:17:30 2020 No.11440518 >>11440507 heh you said functor

>>	Anonymous Wed Mar 4 19:28:34 2020 No.11440549 >>11440518 Functor? I hardly knew her!

>>	Anonymous Wed Mar 4 19:38:49 2020 No.11440568 >>11440549 Upvoted

>>	Anonymous Wed Mar 4 20:09:14 2020 No.11440649 File: 31 KB, 525x525, 1582752429157.jpg [View same] [iqdb] [saucenao] [google] have you ever tried learning/doing mathematics blindfolded?

>>	Anonymous Wed Mar 4 20:12:51 2020 No.11440661 >>11438676 Manga guide to linear regression analysis is all about a girl doing this.

Anonymous Wed Mar 4 20:29:26 2020 No.11440713
File: 454 KB, 985x560, Shikamaru_Thinking.png [View same] [iqdb] [saucenao] [google]

>>11440649
If you do things rythmically you might be able to do something if you had like two blind people.

As far as blindfold,
I think it might actually hep you, like, contemplate certain things when you get stuck on math problem, force you to visualize.

>>	Anonymous Wed Mar 4 20:33:48 2020 No.11440728 >>11435624 The physicist and engineering idea of it as a function just came from the Fourier transform. It appears a lot in EM and QM, it's like become a shorthand now, I don't think you can blame them.

>>	Anonymous Wed Mar 4 20:44:24 2020 No.11440744 >>11440649 I injured my hands and did a fair bit of maths without writing. It makes calculation pretty tricky.

>>	Anonymous Wed Mar 4 21:02:34 2020 No.11440799 >>11439808 >why is that? map from a lower dimensional manifold into a higher dimensional manifold cannot possibly have surjective differential at any point

Anonymous Wed Mar 4 21:30:26 2020 No.11440897
File: 22 KB, 672x326, Capture.jpg [View same] [iqdb] [saucenao] [google]

https://arxiv.org/pdf/2003.01890.pdf
>On Mochizuki's idea of Anabelomorphy and its applications
>Kirti Joshi
>(Submitted on 4 Mar 2020)

>Shinichi Mochizuki has introduced many fundamental ideas in his work, amongst one of them is the foundational notion, which I have dubbed anabelomorphy (pronounced as anabel-o-morphy). I coined the term anabelomorphy as a concise way of expressing "Mochizuki's anabelian way of changing ground field, rings etc." The notion of anabelomorphy is firmly grounded in a well-known theorem of Mochizuki which asserts that a p-adic field is determined by its absolute Galois group equipped with its (upper numbering) ramification filtration. However as there exist many non-isomorphic p-adic fields with topologically isomorphic Galois groups, the ramification filtration itself is fluid i.e. a variable and this variable controls amongst many other things, the additive structure of a p-adic local field, and Mochizuki's remarkable suggestion is that this fluidity can and should be exploited in proving theorems in number theory. In this paper I provide a number of results which illustrate the usefulness of Mochizuki's idea. I refer the reader to the Introduction of the paper and the table of contents for the list of all the results proved in this paper.

>>	Anonymous Wed Mar 4 21:35:37 2020 No.11440913 >>11440897 total gibberish

>>	Anonymous Wed Mar 4 21:36:57 2020 No.11440919 >>11440913 >total gibberish To brainlets

>>	Anonymous Wed Mar 4 21:38:03 2020 No.11440926 >>11440919 explain it then

>>	Anonymous Wed Mar 4 21:38:21 2020 No.11440928 >>11440926 >explain it then Which part do you not understand?

>>	Anonymous Wed Mar 4 21:43:32 2020 No.11440953 >>11440928 The proof of lemma 16.6

>>	Anonymous Wed Mar 4 21:44:25 2020 No.11440958 >>11440897 Scholze BTFO

>>	Anonymous Wed Mar 4 21:49:08 2020 No.11440981 File: 12 KB, 321x321, cringe.png [View same] [iqdb] [saucenao] [google] >>11432923 >maths

>>	Anonymous Wed Mar 4 21:50:44 2020 No.11440988 >>11440897 Ugg's rock thesis is unironically better

>>	Anonymous Wed Mar 4 21:53:49 2020 No.11440998 >>11440953 >The proof of lemma 16.6 What have you tried?

>>	Anonymous Wed Mar 4 21:55:00 2020 No.11441004 >>11440998 You offered to explain, so explain.

>>	Anonymous Wed Mar 4 21:56:13 2020 No.11441005 >>11441004 >You offered to explain, so explain. What is it that needs to be explained?

>>	Anonymous Wed Mar 4 21:58:51 2020 No.11441019 >>11440981 Ayo this nigga hates maffs lmao.

>>	Anonymous Wed Mar 4 21:59:00 2020 No.11441021 >>11441005 The proof.

>>	Anonymous Wed Mar 4 22:06:06 2020 No.11441047 >>11441021 >The proof. No proof was provided.

>>	Anonymous Wed Mar 4 22:07:35 2020 No.11441054 >>11441047 Then provide one.

>>	Anonymous Wed Mar 4 23:51:50 2020 No.11441253 File: 133 KB, 396x486, yukari_brap.png [View same] [iqdb] [saucenao] [google] >>11440475 >proof of Baire's category theorem doesn't use category theory

>>	Anonymous Thu Mar 5 00:54:21 2020 No.11441363 File: 65 KB, 464x720, ryys4.jpg [View same] [iqdb] [saucenao] [google] Anyone here coming to Edinburgh next week?

Anonymous Thu Mar 5 03:10:30 2020 No.11441529
File: 2.00 MB, 340x308, math 4x4.gif [View same] [iqdb] [saucenao] [google]

I'm working through The Elephant and the notion of meta-categories keeps coming up but I don't really get what the issue is or what the point is (or even really what they are). Would anyone be willing to provide some insight or a simple explanation?

>>	Anonymous Thu Mar 5 03:47:17 2020 No.11441576 Does [math]\sum_{k\geq 1}^{\infty} \frac{x^n}{p_n} [/math] where [math] p_n[/math] is the n-th prime number converges to an interesting function on ]-1,1[?

>>	Anonymous Thu Mar 5 04:03:04 2020 No.11441593 >>11441576 no

>>	Anonymous Thu Mar 5 04:24:44 2020 No.11441609 >>11441529 It's old terminology for non-small categories. You would have used "category" for a (U-)small category, and then "meta-category" for a large one. For example, any group would be a category and the category of sets would be a meta-category.

>>	Anonymous Thu Mar 5 04:28:29 2020 No.11441614 >>11441609 Oh, is that really all it is? That's waaaaay simpler. Thank you!!

Anonymous Thu Mar 5 04:54:18 2020 No.11441627

>>11441614
Most likely. Of course, there can be some differences between authors. For example, what are normal and T4-spaces? Some authors call a space normal if any disjoint closed sets have disjoint neighbourhoods, and a T4-space would then be a normal Hausdorff space. However, some say that T4 means that disjoint nbd thingy and normal means Hausdorff and T4. I've seen both definitions, so I am a bit wary of such potential ambiguities. Does the author not define it anywhere?

>>	Anonymous Thu Mar 5 05:26:24 2020 No.11441657 >>11441363 What's happening in Edinburgh?

>>	Anonymous Thu Mar 5 05:31:09 2020 No.11441660 >>11441657 Topics in Category Theory.

>>	Anonymous Thu Mar 5 06:59:49 2020 No.11441757 >>11441660 OH NO NO NO

Anonymous Thu Mar 5 07:44:49 2020 No.11441818
File: 628 KB, 1280x720, 20200305_133440_resize_20.jpg [View same] [iqdb] [saucenao] [google]

I feel like there is a mistake in Geometric Measure Theory by Federer.
So here Bdry B is wtf notation but I think he means the closed ball, only that makes sense.
Then T is a Steiner Symmetrization of S and p_u is the reflection along the symmetrization direction.
The main thing is it seems so easy to find counterexamples with Z\S not being a subset of Z\T

>>	Anonymous Thu Mar 5 07:46:31 2020 No.11441824 >>11441757 I'm glad you aren't coming.

>>	Anonymous Thu Mar 5 10:07:38 2020 No.11442074 >>11435110 absolutely based AND redpilled

>>	Anonymous Thu Mar 5 10:29:24 2020 No.11442110 >>11432923 learned it in grade 11 at math summer camp + ian stewart

>>	Anonymous Thu Mar 5 10:30:14 2020 No.11442112 >>11442110 No, you learned of it.

>>	Anonymous Thu Mar 5 11:03:04 2020 No.11442159 >>11441363 I'm going, wanna meet up?

>>	Anonymous Thu Mar 5 11:25:39 2020 No.11442196 >>11442159 No.

>>	Anonymous Thu Mar 5 11:29:21 2020 No.11442204 >>11442196 well fuck you too

>>	Anonymous Thu Mar 5 11:33:10 2020 No.11442213 >>11442204 Why do you think I asked? Idiot.

>>	Anonymous Thu Mar 5 11:39:30 2020 No.11442228 File: 61 KB, 568x1023, 4x4_magic_square_hierarchy.svg.png [View same] [iqdb] [saucenao] [google] Are mathematicians really researching such things? Or is it just a WikiSperg?

>>	Anonymous Thu Mar 5 12:11:55 2020 No.11442304 >>11442213 Meeting people is a reasonable guess in my opinion

>>	Anonymous Thu Mar 5 12:13:58 2020 No.11442307 >>11442213 >>11442204 >both anons meet >they're both disappointed as they find out the other is an undergrad who knows literally nothing about the talk's subject How likely is it?

>>	Anonymous Thu Mar 5 12:16:28 2020 No.11442316 >>11442213 Are you autistic? Why DID you ask then lol

>>	Anonymous Thu Mar 5 12:33:40 2020 No.11442367 >>11442307 100% obviously. Do you think anybody here even has a bachelor's?

>>	Anonymous Thu Mar 5 12:34:57 2020 No.11442371 >>11442213 >Why do you think I asked? Because you are super autistic weeb who desperately seeks attention but is mortally afraid to talk to another person in real life?

Anonymous Thu Mar 5 13:03:21 2020 No.11442441

>>11442304
10 points to you.

>>11442307
Very likely. Judging by the posts in these threads, most people aren't even studying maths.

>>11442316
Just stop wasting oxygen.

>>11442371
You could also try stopping breathing, as there is no benefit at all in having you waste other people's resources.

Anonymous Thu Mar 5 13:27:00 2020 No.11442490

>>11442441
>as there is no benefit at all in having you waste other people's resources.
False. There are many people who would better the world by being dead, like rapists, murderes, drug dealers, algebraists. (orders from least to most despicable).
Even if all I am doing is taking potential oxygen away from them, then I am improving the world.

>>	Anonymous Thu Mar 5 14:30:11 2020 No.11442778 >>11442490 Nothing wrong with being a rapist.

>>	Anonymous Thu Mar 5 14:35:54 2020 No.11442803 >>11442778 It might not have been fair to put them on a list with algebraists, but rapists still lust after women which no self respecting human being does.

>>	Anonymous Thu Mar 5 15:19:51 2020 No.11442930 >>11442803 >lust after women which no self respecting human being does So the set of all men is disjoint from the set of self respecting human beings?

>>	Anonymous Thu Mar 5 15:41:48 2020 No.11442983 >>11442803 But what about being (with total justification) afraid that the friend you have known for a decade or two and hasn't raped you will rape you now that you know he is gay? Certainly he isn't lusting for women.

Anonymous Thu Mar 5 15:51:51 2020 No.11443010

>>11432923
Was bashing my head against the wall trying to understand how galois fields worked so I could re-esemble some secret shares for a CTF. Luckily Wikipedia had some python code I could handily borrow, so I could skip actually learning the stuff.

>>	Anonymous Thu Mar 5 15:54:10 2020 No.11443019 >>11432923 Freshman year of highschool. Are Americans really THIS fucking stupid?

Anonymous Thu Mar 5 19:03:33 2020 No.11443466
File: 70 KB, 1652x338, n_gon_construction.png [View same] [iqdb] [saucenao] [google]

What is meant exactly by "constructible using a compass and straightedge" ?

If you watch this video,

https://www.youtube.com/watch?v=rt7qTvPYVXE

excusing the twee music, I think it's clear (even though a measuring device is used in the video) that an n-gon can be constructed using only a compass and straightedge without making any measurements and simply working with proportions of some respective line and some segments.

Is the idea behind "constructible with a compass and straightedge" meant to signify that you cannot, as in the video, put down a square and use it as a proportional reference, i.e., constructible elements cannot be used in constructing regular n-gons (in the Gauss Wantzel theorem?)

>>	Anonymous Thu Mar 5 21:55:36 2020 No.11443872 >https://en.wikipedia.org/wiki/Mohr%E2%80%93Mascheroni_theorem You don't need a straightedge, actually, though real thinking men use Huzita–Hatori axioms

>>	Anonymous Thu Mar 5 21:56:39 2020 No.11443875 >>11443872 replying to >>11443466

Anonymous Thu Mar 5 22:25:02 2020 No.11443934

>>11443872
>>11443875
kind of neat but not related to my question.

Gauss-Wantzel theorem states that:

>A regular n-gon can be constructed with compass and straightedge if and only if n is the product of a power of 2 and any number of distinct Fermat primes.

But in the related video, there's a way for constructing nonagons, heptagons, etc. that uses only compass and straightedge. Those are n-gons with n=7 and n=9, where n=7 is obviously not a fermat prime nor a product of powers of 2, and the same goes for 9.

So what's going on here? Is Gauss-Wantzel nonsense?

>>	Anonymous Thu Mar 5 22:42:24 2020 No.11443983 File: 1.53 MB, 2526x996, mathfag thread 1.png [View same] [iqdb] [saucenao] [google] >>11432923

>>	Anonymous Thu Mar 5 22:45:58 2020 No.11443990 what's the category of axioms?

>>	Anonymous Thu Mar 5 22:51:52 2020 No.11444001 >>11443983 Math is incel repellent, retard.

>>	Anonymous Thu Mar 5 22:54:45 2020 No.11444008 >>11443983 the pissed off faggotgeneer? or are you a cs pleb

>>	Anonymous Thu Mar 5 23:10:38 2020 No.11444052 Trying to get my feet wet with Number Theory. On the first chapter of Hardy and Wright's book and i'm struggling on getting a grasp of the proofs and notation

>>	Anonymous Thu Mar 5 23:20:44 2020 No.11444077 >>11442228 I think these are studied in some areas of design theory.

>>	Anonymous Thu Mar 5 23:49:27 2020 No.11444135 >>11444052 https://www.youtube.com/watch?v=SlCRfTmBSGs

Anonymous Fri Mar 6 00:11:21 2020 No.11444164

hi, retard here with two questions

First, is Number theory just the study or prime numbers or special sets of prime numbers, like twin primes and so forth? Or are there any other kinds of integers under investigation?

Second, when starting a course on Abstract Algebra, how come we start with Groups rather then, say a Semigroup or some other simpler group like structure? Would it not be better to start with making shit as simple as possible and working outwards from that?

>>	Anonymous Fri Mar 6 00:14:28 2020 No.11444167 Does zero actually exist?

>>	Anonymous Fri Mar 6 00:16:19 2020 No.11444170 >>11444167 Does any number exist?

Anonymous Fri Mar 6 00:24:42 2020 No.11444185

>>11444164
>Second, when starting a course on Abstract Algebra, how come we start with Groups rather then, say a Semigroup or some other simpler group like structure? Would it not be better to start with making shit as simple as possible and working outwards from that?
Fewer axioms != simpler. Nonassociative things like magmas have pretty no structure and can only be studied combinatorially. In algebra, you base your intuition on well understood objects with a lot of structure like vector spaces or fields, then use that as a reference point when trying to wrap your mind around less familiar, more exotic structures like say the Steenrod algebra.

>>	Anonymous Fri Mar 6 00:41:44 2020 No.11444220 >>11444167 Ugg have n rock Ugg take n rock away from pile Ugg have 0 rock Ugg say 0 rock no exist Ugg know if 0 rock exist Ugg can't take n rock away from pile so Ugg left with n rock

>>	Anonymous Fri Mar 6 01:04:08 2020 No.11444273 >>11442930 The set of self respecting human beings is empty to begin with, but at least some men are able to resist the desperate urge to stick their dick into something. >>11442983 That is even worse.

>>	Anonymous Fri Mar 6 01:05:10 2020 No.11444276 >>11443983 Sorry, I have become a volcel two weeks ago.

>>	Anonymous Fri Mar 6 02:50:12 2020 No.11444472 >>11435487 Weird that fields are Sylow are not mentioned.

>>	Anonymous Fri Mar 6 08:49:16 2020 No.11444922 >>11441363 >>11442159 >>11442196 >>11442204 >>11442213 Can someone explain what happened in this interaction? I'm too stupid to understand it.

>>	Anonymous Fri Mar 6 08:50:29 2020 No.11444928 >>11444922 If you aren't autistic there is no chance of you ever understanding what is going on.

>>	Anonymous Fri Mar 6 08:54:14 2020 No.11444934 >>11444922 That idiot failed to understand obvious sarcasm and proved not to be worth my time.

Anonymous Fri Mar 6 08:57:23 2020 No.11444943

>>11444934
There are a lot of arrogant maths people on this board who look down on other anons. It's possibly that someone wants to see if any of the losers here will be at the conference, while not wanting to meet them nor have anything to do with them and play the game "spot the 4channer".
It's very hard to convey sarcasm through text, especially in an anonymous board where no one knows who you are and what you're like.

>>	Anonymous Fri Mar 6 08:59:03 2020 No.11444947 >>11444472 >Weird that fields are Sylow are not mentioned. bodies = fields

>>	Anonymous Fri Mar 6 08:59:07 2020 No.11444948 >>11444943 Oh boohoo. Fuck off.

>>	Anonymous Fri Mar 6 08:59:59 2020 No.11444951 >>11444948 That wasn't me you were responding to. I was just genuinely baffled by the interaction. It seems to me like you're a bit autistic or just socially unaware.

>>	Anonymous Fri Mar 6 09:01:58 2020 No.11444959 >>11444951 So you weren't >>11444943?

>>	Anonymous Fri Mar 6 09:03:41 2020 No.11444963 >>11444959 you're actually retarded lmao

>>	Anonymous Fri Mar 6 09:04:38 2020 No.11444966 >>11444963 That would be you.

>>	Anonymous Fri Mar 6 09:04:39 2020 No.11444967 >>11444963 >>11444959 >>11444951 >>11444948 >>11444943 >>11444934 Good Lord. Go outside and talk to human beings for once in your life.

>>	Anonymous Fri Mar 6 09:06:13 2020 No.11444976 >>11444967 fuck off pussy, go kill yourself right now and live stream it retard, i command you i fucked your mom but forget wearing condoms, biggest mistake

>>	Anonymous Fri Mar 6 09:07:20 2020 No.11444984 >>11444966 Tell me where you live. I'll come and knock your fucking teeth out, nonce weeb.

>>	Anonymous Fri Mar 6 09:08:07 2020 No.11444985 >>11444976 That's why you don't have any friends...

>>	Anonymous Fri Mar 6 09:11:53 2020 No.11444996 File: 92 KB, 1155x636, 7b7.jpg [View same] [iqdb] [saucenao] [google] >>11444967 >>11444985

Anonymous Fri Mar 6 09:12:40 2020 No.11445001

>>11444984
Oh, now I'm super scared. Simply pathetic to use violence when you can't beat someone with words. On the other hand, you couldn't in this situation. There is literally no reason why I would have asked if anyone is coming unless I thought it'd be nice to perhaps meet someone. Then, the next day, the fact that basically all posters in these threads are simply jokes incarnate is once again made obvious. A bunch of clowns you are, go work in a fucking circus.

>>	Anonymous Fri Mar 6 09:12:46 2020 No.11445002 >>11444984 How are you able to function outside of your room, LMAO? >>11444996 If you are an incel you are even more pathetic then me. At least I am a volcel.

>>	Anonymous Fri Mar 6 09:14:04 2020 No.11445007 >>11445001 >There is literally no reason why I would have asked if anyone is coming unless I thought it'd be nice to perhaps meet someone. I can think of many. Eg. you wanted to make sure that none of the spergs here would show up.

>>	Anonymous Fri Mar 6 09:14:37 2020 No.11445008 File: 880 KB, 2000x2000, 1582824640864.png [View same] [iqdb] [saucenao] [google] >>11444984 Math is inherently anime.

>>	Anonymous Fri Mar 6 09:14:50 2020 No.11445009 >>11444996 so you said yes to being retarded? lmao. stop wearing that fake face mask

>>	Anonymous Fri Mar 6 09:17:21 2020 No.11445014 >>11445007 And having that one idiot come there would then mean I would use the corona virus for example as an excuse to not go? You know, I can simply not interact with a person unworthy of my attention.

Anonymous Fri Mar 6 09:19:01 2020 No.11445020

>>11445001
It's not that I couldn't beat you with words, I already have and your microscopic verbal IQ prevents you from realizing it. It's obvious that your parents didn't spank you enough but I am prepared to fix the problem. If you're actually not scared (though I suspect you're literally trembling right now) post where you live and where you want to meet up. You're won't be the first autist I've had to beat up, won't be the last either. After the encounter you will thank me for straightening you out.

Anonymous Fri Mar 6 09:20:36 2020 No.11445024

>>11445014
If there was any event at my Uni where I knew someone from here would attend I would stay far away.

> I can simply not interact with a person unworthy of my attention.
Which doesn't means he doesn't have a massive spergout during the event. Or tries to talk to you.

>>	Anonymous Fri Mar 6 09:21:10 2020 No.11445027 >>11445020 Ok. Come to the place where the Topics in CT thing is held and let's fight in front of the main door. I'll be wearing a long overcoat and carrying a black backpack.

>>	Anonymous Fri Mar 6 09:22:31 2020 No.11445034 >>11445027 Sounds good. What time?

>>	Anonymous Fri Mar 6 09:23:09 2020 No.11445039 >>11445024 One random sperglord is not enough to stop me from attending. Moreover, I can ignore both his cringiness and his attempts to talk to me. >>11445034 3 o'clock.

>>	Anonymous Fri Mar 6 09:24:45 2020 No.11445043 >>11445039 You better show up.

>>	Anonymous Fri Mar 6 09:26:18 2020 No.11445050 >>11445043 Ok. Booking my flight as we shitpost.

>>	Anonymous Fri Mar 6 09:27:13 2020 No.11445056 >>11445050 Will this count as /mg/ meetup 2020?

Anonymous Fri Mar 6 09:29:00 2020 No.11445061

>>11445039
>One random sperglord is not enough to stop me from attending.
Yikes dude.

>Moreover, I can ignore both his cringiness and his attempts to talk to me.
Have you ever witnessed a serious sperg?
It's the kind of person who, in a lecture with hundreds of people, will raise his hand, doesn't get noticed and then loudly exclaims that he has a question.
If the lecturer makes the mistake and lets him speak he will either ask a question which makes immediately clear that he has been asleep for the last three lectures OR give an irrelevant commentary about some popsci bullshit which he thinks relates to the material.

>>	Anonymous Fri Mar 6 09:29:23 2020 No.11445064 >>11445056 I guess so.

>>	Anonymous Fri Mar 6 09:30:59 2020 No.11445071 >>11445064 I will be the 6'11'' guy with the big muscles.

Anonymous Fri Mar 6 09:31:15 2020 No.11445074

>>11445061
I have seen quite a lot of those. Why should I let them bother me? Usually they even have some sort of problems with their speech like inability to say certain letters properly or stuttering etc. They may be annoying, but not a reason to get mad.

>>	Anonymous Fri Mar 6 09:32:42 2020 No.11445081 >>11445074 Fine, just stay safe on your yard wrangling conference.

>>	Anonymous Fri Mar 6 09:33:21 2020 No.11445082 Does Jacob Lurie have autism? Why does he do these head movements?

>>	Anonymous Fri Mar 6 09:35:49 2020 No.11445088 File: 26 KB, 300x400, climate-activist-greta-thunberg-jpeg--1583117146418-jpg.jpg [View same] [iqdb] [saucenao] [google] >>11432923

>>	Anonymous Fri Mar 6 09:36:32 2020 No.11445090 >>11445088 How dare you?

Anonymous Fri Mar 6 09:40:54 2020 No.11445100
File: 41 KB, 565x246, Rosetta comet Newton.jpg [View same] [iqdb] [saucenao] [google]

Can someone explain to me precisely how one calculates the exact area under a curve and/or how Newton used that to determine comet paths? I took calculus over two years ago and I retained nothing. I want to understand the world a tiny bit more.

>>	Anonymous Fri Mar 6 09:44:37 2020 No.11445110 >>11445100 >how one calculates the exact area under a curve Half of analysis is dedicated to answer that question. >how Newton used that to determine comet paths? ODEs.

>>	Anonymous Fri Mar 6 09:51:56 2020 No.11445129 >>11445088 oh no...

>>	Anonymous Fri Mar 6 09:55:37 2020 No.11445142 >>11445088 Galois deniers rise up

>>	Anonymous Fri Mar 6 10:30:20 2020 No.11445225 >>11442112 cope harder brainlet

>>	Anonymous Fri Mar 6 11:39:13 2020 No.11445333 File: 51 KB, 1427x703, derpaderp.jpg [View same] [iqdb] [saucenao] [google] >>11445008 >mfw I think I'm Vegeta of maths but I'm really Krillin

>>	Anonymous Fri Mar 6 12:10:46 2020 No.11445397 >>11445333 >tfw I'm yamcha

Advanced search
Text to find
Subject [?]Search by post subject. Leave empty for any.
Username [?]Search for user name. Leave empty for any user name.
Tripcode [?]Search for tripcode. Leave empty for any.
Email [?]Search by email. Leave empty for any.
Filename [?]Search by image filename. Leave empty for any.
From Date [?]Enter what date to start searching from. Format is YYYY-MM-DD
To Date [?]Enter what date to start searching until. Format is YYYY-MM-DD
Image hash
Search in	All Posts OPs Only
Deleted posts	Show all posts Show only deleted posts Only show non-deleted posts
Internal posts	Show all posts Show only internal posts Show only archived posts
Order	New posts first Old posts first
Capcode	All Posts Only by Users Only by Mods Only by Admins Only by Developers
Results	Posts Threads
Action	[ Simple ]

/sci/ - Science & Math