/sci/ - Science & Math

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/mg/ - mathematics general Anonymous Sun Jul 5 22:57:53 2020 No.11871878 [Reply] [Original]

Hironaka-sensei edition
previous:
>>11867252

>>	Anonymous Sun Jul 5 23:00:26 2020 No.11871884 File: 214 KB, 960x960, gigachadUniverse.jpg [View same] [iqdb] [saucenao] [google] >>11871878 >Elliptic curves

>>	Anonymous Sun Jul 5 23:02:44 2020 No.11871889 >IPs: 2 Actually wow

>>	Anonymous Sun Jul 5 23:06:35 2020 No.11871899 >>11871889 Let's elevate that number!

>>	Anonymous Sun Jul 5 23:07:13 2020 No.11871901 i am here to learn

>>	Anonymous Sun Jul 5 23:07:54 2020 No.11871904 >>11871899 I was amazed at the fact that elliptic curves guy always manages first post despite not creating the thread (assuming he doesnt swap ips just for one post)

Anonymous Sun Jul 5 23:08:26 2020 No.11871905

Sometimes I think I don't want to do research, I just want to learn what's already been discovered. I don't like that I have to skip around full understanding. I'll do research if I know everything I want to know and want to know more.

Now how do I explain this to my supervisor?

>>	Anonymous Sun Jul 5 23:09:46 2020 No.11871910 >>11871901 Any questions in particular?

Anonymous Sun Jul 5 23:10:14 2020 No.11871911

>>11871905
you don't, unless you're dropping out of the program in which case it doesn't matter.
why would you think it's a good idea to go to your boss and say
>I don't wanna do work I just want to read all day
what do you think he could even say to you?

>>	Anonymous Sun Jul 5 23:10:57 2020 No.11871912 >>11871904 Amazing, isn't it?

>>	Anonymous Sun Jul 5 23:11:21 2020 No.11871913 >>11871911 good job son, want a raise?

>>	Anonymous Sun Jul 5 23:11:53 2020 No.11871917 >>11871912 is this the power of elliptic curves?

>>	Anonymous Sun Jul 5 23:12:07 2020 No.11871918 File: 243 KB, 680x709, Nord Yes.png [View same] [iqdb] [saucenao] [google] >>11871913 >want a raise?

>>	Anonymous Sun Jul 5 23:15:52 2020 No.11871931 >>11871917 Looks like it

>>	Anonymous Sun Jul 5 23:17:35 2020 No.11871935 File: 1.73 MB, 500x250, Complex_theta_animated1.gif [View same] [iqdb] [saucenao] [google] >>11871917 Beautiful, aren't they?

>>	Anonymous Sun Jul 5 23:19:35 2020 No.11871939 >>11871935 those are epileptic curves

>>	Anonymous Sun Jul 5 23:19:42 2020 No.11871941 File: 32 KB, 447x512, 138468385478272.png [View same] [iqdb] [saucenao] [google] >WOOH PRETTY COLORS GO SWOOSH

>>	Anonymous Sun Jul 5 23:20:22 2020 No.11871944 >>11871941 Cringe.

>>	Anonymous Sun Jul 5 23:21:08 2020 No.11871947 >>11871941 Cringe

>>	Anonymous Sun Jul 5 23:21:57 2020 No.11871951 Post your favorite infinite series or else your mother will get an engineering degree in her sleep tonight

>>	Anonymous Sun Jul 5 23:22:16 2020 No.11871953 >>11871941 Cringe.

>>	Anonymous Sun Jul 5 23:25:14 2020 No.11871963 >>11871951 The geometric series. >actually appears sometimes >is actually useful

>>	Anonymous Sun Jul 5 23:36:16 2020 No.11872013 >>11871951 [math]\zeta(s)[/math]

>>	Anonymous Sun Jul 5 23:53:39 2020 No.11872056 >>11871904 >>>11861585

>>	Anonymous Sun Jul 5 23:56:43 2020 No.11872064 >>11871951 [eqn]\lim_{n\rightarrow 0^+}\sum_{i=1}^\infty n[/eqn]

>>	Anonymous Mon Jul 6 00:00:08 2020 No.11872075 >>11872064 0 + 0 + 0 + ... ?

>>	Anonymous Mon Jul 6 00:01:11 2020 No.11872076 >>11872056 I like that guy

>>	Anonymous Mon Jul 6 00:02:53 2020 No.11872083 >>11872075 I believe it equals 0.

>>	Anonymous Mon Jul 6 00:08:08 2020 No.11872096 Jesus christ the tensor product is a retarded concept why the fuck you need to talk about universal properties and whatever

>>	Anonymous Mon Jul 6 00:09:04 2020 No.11872098 >Spend more time here than doing maths Am I NGMI?

>>	Anonymous Mon Jul 6 00:10:46 2020 No.11872102 >>11872098 Yes.

>>	Anonymous Mon Jul 6 00:11:28 2020 No.11872105 File: 11 KB, 220x320, 220px-Maxim_Gorky_LOC_Restored_edit1.jpg [View same] [iqdb] [saucenao] [google] >>11872098 No. At least, I hope not

>>	Anonymous Mon Jul 6 00:14:17 2020 No.11872111 >>11872096 >create an object with the sole express purpose of having nice maps >waah why do I have to talk about the maps

>>	Anonymous Mon Jul 6 00:38:40 2020 No.11872175 Is math discovered or invented?

>>	Anonymous Mon Jul 6 00:41:05 2020 No.11872184 >>11871951 1+1+1+1+...

>>	Anonymous Mon Jul 6 00:41:39 2020 No.11872188 File: 12 KB, 152x168, 1593881818757.jpg [View same] [iqdb] [saucenao] [google] More like Barney edition

>>	Anonymous Mon Jul 6 00:44:45 2020 No.11872199 >>11871941 Very cringe and pooraestheticspilled

>>	Anonymous Mon Jul 6 01:12:21 2020 No.11872280 File: 25 KB, 307x153, Bronies, this is your mindset.jpg [View same] [iqdb] [saucenao] [google] >>11872188 Die you degenerate Barneyfag

>>	Anonymous Mon Jul 6 01:13:30 2020 No.11872284 File: 147 KB, 1920x1080, MLP stealth image 4.jpg [View same] [iqdb] [saucenao] [google] >>11872188 HOW HARD IS IT FOR YOU FAGS TO LET GO OF YOUR SHITTY TODDLER'S SHOW

>>	Anonymous Mon Jul 6 01:17:48 2020 No.11872308 File: 45 KB, 410x598, Based department 2.jpg [View same] [iqdb] [saucenao] [google] >>11872280 >>11872284

>>	Anonymous Mon Jul 6 01:19:07 2020 No.11872315 https://www.youtube.com/watch?v=duPJqfKiA78 Ganbatte, /mg/-tachi !!!

>>	Anonymous Mon Jul 6 01:20:49 2020 No.11872323 >>11872184 [eqn]=1+(2-1)+(3-2)+...=1+2+3+...-(1+2+3.+..)=\frac{-1}{12}-\left(\frac{-1}{12}\right)=0[/eqn]

>>	Anonymous Mon Jul 6 01:32:03 2020 No.11872356 File: 228 KB, 3413x1920, 1593775118807.jpg [View same] [iqdb] [saucenao] [google] >>11872284 >>11872199 >>11872188

>>	Anonymous Mon Jul 6 01:44:55 2020 No.11872390 >>11872188

>>	Anonymous Mon Jul 6 01:52:13 2020 No.11872410 >>11872323 you dropped a 0 in the second series [math]1+1+1+... = 1 + (2-1) + (3-2) + ... = 1 + 2 + 3 +... -( 0 + 1 + 2 +... ) = -1/2 [/math]

>>	Anonymous Mon Jul 6 01:52:37 2020 No.11872413 File: 25 KB, 307x153, Bronies, this is your mindset.jpg [View same] [iqdb] [saucenao] [google] >>11872356 Unironically die https://derpibooru.org/2226078 https://derpibooru.org/images/2068220 https://derpibooru.org/images/1117188

>>	Anonymous Mon Jul 6 01:54:03 2020 No.11872418 >>11872413 What if I only ironically die?

>>	Anonymous Mon Jul 6 01:54:37 2020 No.11872422 >>11872410 [eqn]\sum_{n=0}^\infty n=\sum_{n=1}^\infty n[/eqn] so it wouldn't change the final answer

>>	Anonymous Mon Jul 6 01:56:39 2020 No.11872430 >>11872075 Watch your change of limits

>>	Anonymous Mon Jul 6 01:58:36 2020 No.11872434 File: 69 KB, 384x634, 1593954586614.jpg [View same] [iqdb] [saucenao] [google] >>11872413

>>	Anonymous Mon Jul 6 02:06:36 2020 No.11872455 File: 90 KB, 940x322, Screen Shot 2015-12-15 at 9.18.28 PM.png [View same] [iqdb] [saucenao] [google] >>11872434 I'd hate to imagine how you thought that posting this would be for the greater good https://derpibooru.org/1290565

>>	Anonymous Mon Jul 6 02:14:04 2020 No.11872468 File: 108 KB, 542x573, anime girl yelling.jpg [View same] [iqdb] [saucenao] [google] >>11872280 >>11872284 >>11872413 >>11872455 (checked) OI SHUT IT THIS IS MATH GENERAL

Anonymous Mon Jul 6 02:14:23 2020 No.11872469

>>11872422
those arent equal
Check formulas 8 and 9, theyre different from what you have, but they show the idea that 0 doesnt just fuck off in an infinite series
https://terrytao.wordpress.com/2010/04/10/the-euler-maclaurin-formula-bernoulli-numbers-the-zeta-function-and-real-variable-analytic-continuation/

>>	Anonymous Mon Jul 6 02:16:23 2020 No.11872473 File: 27 KB, 199x296, 1593982678350.jpg [View same] [iqdb] [saucenao] [google] >>11872468 My math journey started with Barney and peaked with MLP

>>	Anonymous Mon Jul 6 02:27:25 2020 No.11872498 File: 27 KB, 690x121, Screen Shot 2013-07-05 at 9.26.23 PM.png [View same] [iqdb] [saucenao] [google] >>11872473 YOU SHOULD BE FUCKING DEAD YOU PIECE OF SHIT

Anonymous Mon Jul 6 02:30:07 2020 No.11872505
File: 34 KB, 198x242, 1453720286782.png [View same] [iqdb] [saucenao] [google]

>>11872469
k I was shit posting, but you don't actually seem to know what you're talking about. So here's a lesson in basic analysis. [math]\sum_{n=1}^\infty n \neq \frac{-1}{12} [/math], it's a divergent series which tends towards infinity. While through certain methods we can assign to it the value -1/12, the series itself self-contained in it's own context does not have a finite limit. (Check this video out for more https://www.youtube.com/watch?v=YuIIjLr6vUA).). Analytic continuation of a different function and Cesaro summation do not come into play when talking about the limit of a series (which is what we are normally talking about when we use [math]\sum_{n=1}^\infty[/math])

Now what about the original post? While 1+1+1...=1+(2-1)+(3-2)+..., it is not equal to 1+2+3+...-(1+2+3+...), because 1+1+1+... is a divergent series and thus we can't rearrange the terms. That being said, (again) in this context adding (or taking away) finitely many zeros at the start of a series will not change its limit.

>>	Anonymous Mon Jul 6 02:31:49 2020 No.11872511 File: 59 KB, 658x557, 1593893383227.jpg [View same] [iqdb] [saucenao] [google] >>11872498

>>	Anonymous Mon Jul 6 02:38:39 2020 No.11872522 >>11872505 Theyre equal to anyone that uses proper definitions, yes i know about riemann rearrangement already since i was also shitposting

>>	Anonymous Mon Jul 6 02:41:42 2020 No.11872533 File: 147 KB, 1920x1080, MLP stealth image 4.jpg [View same] [iqdb] [saucenao] [google] >>11872511 HOW HARD IS IT FOR YOU FAGS TO LET GO OF YOUR SHITTY TODDLER'S SHOW

>>	Anonymous Mon Jul 6 02:41:44 2020 No.11872534 >>11872522 >Merely pretending

>>	Anonymous Mon Jul 6 02:47:01 2020 No.11872543 >>11871850 dump eeeettt

>>	Anonymous Mon Jul 6 02:58:54 2020 No.11872558 >>11872534 you claimed you were shitposting first fag you dont even pretend huh?

>>	Anonymous Mon Jul 6 03:00:39 2020 No.11872563 File: 11 KB, 225x225, 1475894599295.jpg [View same] [iqdb] [saucenao] [google] >>11872558 That wasn't me

>>	Anonymous Mon Jul 6 03:14:15 2020 No.11872594 >>11872111 The object was created to make vector analysis easier bro.

>>	Anonymous Mon Jul 6 03:19:14 2020 No.11872601 >>11871850 The infographic wouldn't be terrible if it recommended books

Anonymous Mon Jul 6 03:23:29 2020 No.11872608
File: 124 KB, 1217x620, mmhmm.jpg [View same] [iqdb] [saucenao] [google]

>>11872096
>why the fuck you need to talk about universal properties and whatever
Weak UMPs guarantee the existence of a morphism, strong ones make it unique. Universal properties are useful while proving things or trying to construct stuff as you can then factor through some object with nice properties.

>>	Anonymous Mon Jul 6 03:30:42 2020 No.11872622 Do I really need to take ODEs and PDEs in undergrad? They're not a grad req and the courses seem to be mostly for engineering kids.

>>	Anonymous Mon Jul 6 03:33:32 2020 No.11872630 >>11872622 >Do I really need to take ODEs and PDEs in undergrad? Yes.

>>	Anonymous Mon Jul 6 03:37:44 2020 No.11872640 >>11872622 I don't have to do PDEs, but I'm also not doing analysis for my masters soo...

>>	Anonymous Mon Jul 6 03:41:55 2020 No.11872651 >>11872630 Sounds like someone got it WRONSKI. No one who matters cares.

>>	Anonymous Mon Jul 6 03:44:54 2020 No.11872660 >>11872640 >but I'm also not doing analysis for my masters I don't recall asking.

>>	Anonymous Mon Jul 6 03:45:59 2020 No.11872664 Does anyone here carry a tablet they use solely for reading throughout the day?

Anonymous Mon Jul 6 03:50:59 2020 No.11872677

>>11872622
They are fascinating areas of study.
ODEs are quite interesting, because they offer a very well developed theory which can come up in various scenarios.
PDEs are an enormously large area which branches of into a huge variety of different topics and tries to treat extremely complex problems.

>>	Anonymous Mon Jul 6 03:52:24 2020 No.11872681 >>11872677 >They are fascinating areas of study. Are they, though?

>>	Anonymous Mon Jul 6 03:53:12 2020 No.11872684 >>11872681 >Are they, though? I do believe so, at least if you have any interest in analysis whatsoever.

Anonymous Mon Jul 6 04:24:44 2020 No.11872762
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How do I get a book that's on on Libgen?

I'm looking for "Linear Inequalities and Related Systems" by H. W. Kuhn and A. W. Tucker, Princeton University Press, 1956.

Apparently Libgen has the Chinese version but not the English one, lmao

>>	Anonymous Mon Jul 6 04:25:47 2020 No.11872767 >>11872762 a book that's not on Libgen*

>>	Anonymous Mon Jul 6 05:03:59 2020 No.11872840 >>11872762 Just buy it, bro.

>>	Anonymous Mon Jul 6 05:06:36 2020 No.11872849 File: 33 KB, 540x531, 179322.jpg [View same] [iqdb] [saucenao] [google] >>11872098 Being here is doing maths >>11872096 tensors are incredibly based

>>	Anonymous Mon Jul 6 05:16:37 2020 No.11872864 >>11872849 I want to do maths if you catch my drift

>>	Anonymous Mon Jul 6 05:21:28 2020 No.11872877 File: 71 KB, 680x658, 1589334441588.jpg [View same] [iqdb] [saucenao] [google] >>11872849 I WANT TO HAVE SEX WITH AN ANIME GIRL

>>	Anonymous Mon Jul 6 05:23:12 2020 No.11872883 >>11872762 You git gud https://archive.org/details/linearinequaliti00kuhn_0/page/n7/mode/2up

>>	Anonymous Mon Jul 6 05:24:11 2020 No.11872884 >>11872849 That’s true, linear and multilinear algebra are based. Abstract algebra however...

>>	Anonymous Mon Jul 6 05:24:51 2020 No.11872885 >>11872884 "abstract algebra" is a thing only in undergrad.

>>	Anonymous Mon Jul 6 05:25:51 2020 No.11872886 >>11872884 And tensors give you multi-[math]R[/math]-linear maps between your modules. What's your point?

>>	Anonymous Mon Jul 6 05:27:07 2020 No.11872890 >>11872885 >>11872886 Sorry I don’t read or care about brain AIDS pseud shit too busy with actual science desu :^)

>>	Anonymous Mon Jul 6 05:28:30 2020 No.11872892 >>11872890 I see you are incredibly busy as you are posting here.

>>	Anonymous Mon Jul 6 05:34:53 2020 No.11872900 File: 392 KB, 1242x1418, d0d8571bd33f8f31.jpg [View same] [iqdb] [saucenao] [google] Why should anyone care about set theory? I finished the entire math curriculum only using naive set theory without ever encountering a collection that wasn't a set.

>>	Anonymous Mon Jul 6 05:35:03 2020 No.11872902 >>11872890 >science sorry, this is a math general, we don't talk about gay stuff such as "science" here

Anonymous Mon Jul 6 05:46:30 2020 No.11872916

So the geometric Hahn-Banach theorem tells us that a convex compact set [math]A[/math] and a disjoint closed convex set [math]B[/math] can be strictly separated, that is, there exists a hyperplane such that
[math]\langle x, h \rangle > \langle y, h \rangle
\; \forall x \in A, y \in B[/math]. Why do I never see a converse of this statement? As in, if the sets are not disjoint, then we cannot strictly separate them.

>>	Anonymous Mon Jul 6 05:47:53 2020 No.11872918 >>11872883 thanks, I didn't know this existed

>>	Anonymous Mon Jul 6 05:50:20 2020 No.11872924 >>11872916 >As in, if the sets are not disjoint, then we cannot strictly separate them. this is not converse of the statement

>>	Anonymous Mon Jul 6 05:59:55 2020 No.11872939 >>11872916 >As in, if the sets are not disjoint, then we cannot strictly separate them. suppose they are not disjoint, then there exists [math]x \in A \cap B[/math] and [math]\langle x,h \rangle = \langle x,h \rangle[/math].

>>	Anonymous Mon Jul 6 06:00:07 2020 No.11872940 >>11872916 >if the sets are not disjoint, then we cannot strictly separate them because no one would waste their paper and ink on such an obvious statement

>>	Anonymous Mon Jul 6 08:10:27 2020 No.11873170 >>11872900 >I finished the entire math curriculum only using naive set theory without ever encountering a collection that wasn't a set. you had a pretty crappy undergrad if you made it the entire way through without anyone ever even defining a category

>>	Anonymous Mon Jul 6 08:27:43 2020 No.11873194 >>11873170 Trannies actually believe this

>>	Anonymous Mon Jul 6 08:40:19 2020 No.11873214 >>11873170 most mathematicians don't even know what a category is, why would undergraduate students care about it

Anonymous Mon Jul 6 08:45:08 2020 No.11873228
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Can we trick category theorists into doing meaningful problems? My idea is: pick a problem in graph theory, then replace "edge" and "vertex" with "morphism" and "category" and let's see what happens.

>>	Anonymous Mon Jul 6 08:49:35 2020 No.11873245 >>11873228 >replace "edge" and "vertex" with "morphism" and "category" shouldn't a vertex be an object though? Or edge a functor?

>>	Anonymous Mon Jul 6 08:59:56 2020 No.11873276 File: 60 KB, 1280x720, (((hate))).jpg [View same] [iqdb] [saucenao] [google] I am in a love-hate relationship with math

>>	Anonymous Mon Jul 6 09:02:11 2020 No.11873281 Which mathematical object should I make my waifu? It should be complicated enough to remain interesting throughout our marriage but also elegant and beautiful enough so I'm not repulsed by her.

>>	Anonymous Mon Jul 6 09:04:53 2020 No.11873287 >>11873281 Klein bottle >Dem curves

>>	Anonymous Mon Jul 6 09:05:08 2020 No.11873289 >>11873276 Same. It hurts but I can't stop.

>>	Anonymous Mon Jul 6 09:09:28 2020 No.11873298 >>11873281 [eqn]\mathbb{N}[/eqn]

>>	Anonymous Mon Jul 6 09:11:42 2020 No.11873311 >>11873298 [math]\mathbb{I}[/math]

>>	Anonymous Mon Jul 6 09:12:14 2020 No.11873313 >>11873245 yes you're right

>>	Anonymous Mon Jul 6 09:13:31 2020 No.11873316 >>11873313 who's the tranny now huh

>>	Anonymous Mon Jul 6 10:11:24 2020 No.11873441 File: 319 KB, 800x1130, Frenchanimegirl.jpg [View same] [iqdb] [saucenao] [google] [math]\lim_{n \to \infty} \frac{\sqrt[n] {n!}}{n}[/math]

>>	Anonymous Mon Jul 6 10:15:28 2020 No.11873448 >>11873441 I don't get this new meme of posting random bits of trivial LaTeX with no further comment

>>	Anonymous Mon Jul 6 10:16:24 2020 No.11873450 >>11873441 that would be 1/e sir

>>	Anonymous Mon Jul 6 10:17:05 2020 No.11873457 >>11873448 >meme

>>	Anonymous Mon Jul 6 10:19:16 2020 No.11873463 >>11873448 that's just the same fucking autistic tranny

>>	Anonymous Mon Jul 6 11:07:25 2020 No.11873555 Does symplectic geometr have any applications outside of physics?

Anonymous Mon Jul 6 11:09:21 2020 No.11873562
File: 92 KB, 667x551, 2020-07-06-120531_667x551_scrot.png [View same] [iqdb] [saucenao] [google]

Absolute brainlet here. How does BC become P*y? I know C is P, but I don't know why it magically decides that C can multiply by y, there is a concept I am missing here and I don't know which.

>>	Anonymous Mon Jul 6 11:25:35 2020 No.11873597 >>11873562 that's no multiplication P.y denotes the y-coordinate of the point P

>>	Anonymous Mon Jul 6 11:33:59 2020 No.11873611 >>11873597 Thank you!

Anonymous Mon Jul 6 11:39:06 2020 No.11873627

>>11873555
Does anything involving the reals have an application outside physics? Physics is quite broad.

>>11872900
Those two sentences are weird standing next to each other. What's a set depends how n your theories of sets. And set theory is also not just about finding out what's not a set.

>>	Anonymous Mon Jul 6 11:44:24 2020 No.11873638 File: 256 KB, 888x499, ZFC.jpg [View same] [iqdb] [saucenao] [google] >>11872900

>>	Anonymous Mon Jul 6 11:45:07 2020 No.11873641 >>11873638 What did he mean by this?

>>	Anonymous Mon Jul 6 11:54:49 2020 No.11873663 Anyone know any cool monographs or collected works? I found the clay mirror symmetry one which looks kinda nice, but I have no knowledge of physics at all so it's fairly useless

>>	Anonymous Mon Jul 6 11:58:02 2020 No.11873674 >>11873663 My diary, desu. Also maybe Rudyak's book on spectra. https://www.maths.ed.ac.uk/~v1ranick/papers/rudyakthom.pdf

>>	Anonymous Mon Jul 6 12:06:35 2020 No.11873693 >>11872660 You asked if you had to, and I showed that under certain circumstances you didn't

>>	Anonymous Mon Jul 6 12:11:27 2020 No.11873704 >>11873663 Atiyah, Milnor, Tits

Anonymous Mon Jul 6 12:19:15 2020 No.11873721
File: 1.03 MB, 1719x1887, __cirno_touhou_drawn_by_tsuri_buta__e6e011432e325fba75ec7cfbe62406d0.jpg [View same] [iqdb] [saucenao] [google]

>>11872413
>>11872455
>>11872498
>>11872533
Hi, Lee! Good to see you here!
>>11873555
IIRC Fourier integral operators and microlocal analysis use some symplectic geometry.
Also has applications in contact geometry, naturally.

If you meant "applications outside of maths and physics", no idea.

>>	Anonymous Mon Jul 6 12:24:28 2020 No.11873732 What are your thoughts on the IHES youtube channel? Do you know if any other math research institutes have similar youtube channels?

>>	Anonymous Mon Jul 6 12:27:49 2020 No.11873739 >>11873721 Cheers, Cirnoposter.

>>	Anonymous Mon Jul 6 12:41:12 2020 No.11873769 >>11873732 Pretty great, you can also check the IHP channel, Harvard Math

>>	Anonymous Mon Jul 6 12:48:48 2020 No.11873774 File: 188 KB, 434x600, 1353019334761.png [View same] [iqdb] [saucenao] [google] http://libgen.is/search.php?req=Serge+Lang%27%3D&open=0&res=25&view=simple&phrase=1&column=def

Anonymous Mon Jul 6 12:49:28 2020 No.11873776

>>11872622
You should do ODE/PDE if your classes are competent, but if they're just "how 2 solve le differential equation" then they're shit and you shouldn't bother. You want a course on qualitative theory of differential equations and dynamical systems, or a course on functional analysis of PDE and distribution theory.

>>	Anonymous Mon Jul 6 12:50:55 2020 No.11873781 >>11873732 The IAS uploads seminars usually a couple times a week

>>	Anonymous Mon Jul 6 12:50:58 2020 No.11873782 File: 61 KB, 1067x797, 1364692768746.jpg [View same] [iqdb] [saucenao] [google] >>11871884 https://www.ams.org/journals/bull/1980-02-02/S0273-0979-1980-14756-4/S0273-0979-1980-14756-4.pdf

>>	Anonymous Mon Jul 6 12:55:21 2020 No.11873794 >>11873782 Love Diophantine equations, lads.

>>	Anonymous Mon Jul 6 13:17:08 2020 No.11873849 >lecturer says "let me unpack that a little bit" big yikes

>>	Anonymous Mon Jul 6 13:21:34 2020 No.11873857 >>11873641 I think the clue is in the filename

>>	Anonymous Mon Jul 6 13:31:06 2020 No.11873883 >>11873849 Name three (3) times this has happened.

>>	Anonymous Mon Jul 6 13:35:33 2020 No.11873897 >>11873883 the viazovska lectures

>>	Anonymous Mon Jul 6 13:42:35 2020 No.11873927 >>11873776 >DE class >The entire class is just memorizing and applying algorithms that computers can do in seconds Why is this allowed?

>>	Anonymous Mon Jul 6 13:45:09 2020 No.11873934 >>11873883 Advanced Linear Algebra with professor Greg last week. Analysis II with professor Phil beginning of this semester. Five minutes ago during the class we're in, professor Dobson just said that exact sentence.

Anonymous Mon Jul 6 13:49:13 2020 No.11873952

Do you guys have weird trivial things that piss you off in textbooks?
It annoys the shit out of me when authors say that an object "enjoys" a property. I know it's completely irrelevant to the content but it sounds stupid as fuck.
Also, heavily stylized cursive variables (not \mathcal, that's fine, stuff like \mathscr). There's absolutely no reason to replace clean, straight Latin capital letters with swirly autistic squiggles that are barely legible, especially if you haven't even used the regular letter yet.

>>	Anonymous Mon Jul 6 13:50:14 2020 No.11873958 File: 944 KB, 1440x596, arrays.png [View same] [iqdb] [saucenao] [google] >>11873638 fixed

>>	Anonymous Mon Jul 6 13:51:38 2020 No.11873965 >>11873311 [math]\mathbb{G}[/math]

>>	Anonymous Mon Jul 6 13:52:10 2020 No.11873966 >>11873952 [math]\mathfrak{a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}[/math]

>>	Anonymous Mon Jul 6 13:55:16 2020 No.11873983 >>11873952 I like \mathscr more than \mathcal.

>>	Anonymous Mon Jul 6 13:55:30 2020 No.11873985 File: 46 KB, 389x386, 1555869426598.jpg [View same] [iqdb] [saucenao] [google] >>11873952 >american can't read cursive letters ishiggydiggysmdhtbqhfamalam

Anonymous Mon Jul 6 13:59:47 2020 No.11874004

>>11873952
sometimes the author states a fact and he explains it in the next sentence or paragraph, but in a way that it's not obvious that there's any explanation waiting for you and you think the fact is supposed to be trivial so you try to come up with a proof in your head for 15 minutes instead of reading ahead

>>	Anonymous Mon Jul 6 14:01:27 2020 No.11874011 >>11873965 [math]\mathb{G}[/math]

>>	Anonymous Mon Jul 6 14:01:32 2020 No.11874013 >>11874004 Fucking this. "Indeed, ..." gives me nightmares

>>	Anonymous Mon Jul 6 14:03:07 2020 No.11874024 >>11874011 Cringe.

>>	Anonymous Mon Jul 6 14:03:56 2020 No.11874029 >>11874004 this

>>	Anonymous Mon Jul 6 14:09:11 2020 No.11874042 >>11873983 >>11873985 [eqn]\mathscr{JSTI}[/eqn] really excellent font

>>	Anonymous Mon Jul 6 14:10:04 2020 No.11874045 >>11874042 it is though, you're just not used to it

>>	Anonymous Mon Jul 6 14:10:27 2020 No.11874048 >>11874042 This but unironically.

>>	Anonymous Mon Jul 6 14:18:32 2020 No.11874074 >>11873952 I'm a brainlet but basically everything Strang does in his books. Rambling, randomly making notes of subjects (some that won't come up for ages), etc

>>	Anonymous Mon Jul 6 14:28:08 2020 No.11874089 File: 90 KB, 951x840, 18486823868262.jpg [View same] [iqdb] [saucenao] [google] >half of chapter 2 uses theory of bilinear forms to compute examples >chapter 5 covers theory of bilinear forms

>>	Anonymous Mon Jul 6 14:32:15 2020 No.11874097 >>11874089 which book?

>>	Anonymous Mon Jul 6 14:47:08 2020 No.11874145 Is probability a maths?

>>	Anonymous Mon Jul 6 14:48:42 2020 No.11874153 File: 161 KB, 1892x2219, Univariate Distribution Relationships.png [View same] [iqdb] [saucenao] [google] >>11874145 >Statistics and probability isn't mat-

>>	Anonymous Mon Jul 6 14:48:44 2020 No.11874154 >>11874145 Measure theory yes. Probability no.

>>	Anonymous Mon Jul 6 14:51:40 2020 No.11874169 >>11874154 Other way around.

Anonymous Mon Jul 6 14:57:41 2020 No.11874190
File: 943 KB, 639x727, 1535304553039.png [View same] [iqdb] [saucenao] [google]

I'm a dumb undergrad, but it seems to me like plenty problems are proven not to be solvable analytically (if you know the outlines to these proves, please share) and are only solved numerically (integrals and DEs for example).
Are there problems that conversely require an analyst to solve them? That sounds like nonsense and at least ML could probably be able to tackle these, but I'm thinking what is the point of training to be an integrating monkey (as schools require) if a computer will always be better at it except "it trains your brain bro". Learning to model problems using these tools sounds far more reasonable and it's detached from actually solving those.
(not talking about DE theory and functional analysis as they are needed to develop the actual numerical methods)

>>	Anonymous Mon Jul 6 15:04:49 2020 No.11874210 >>11873776 >how 2 solve le differential equation The courses are exactly this and it's why I've been avoiding them. Taking 2 semesters of engineering cookbook math seems like a complete waste of time.

>>	Anonymous Mon Jul 6 15:06:48 2020 No.11874215 >>11874210 That's because it is a waste of time.

>>	Anonymous Mon Jul 6 15:09:03 2020 No.11874221 >>11874210 Engineering cookbook math has turned out to be extremely important stuff before. ODEs in particular suck, tho, don't recommend.

>>	Anonymous Mon Jul 6 15:11:43 2020 No.11874232 >>11874221 >Engineering cookbook math has turned out to be extremely important stuff before like what? Fourier and PDEs?

>>	Anonymous Mon Jul 6 15:13:33 2020 No.11874240 >>11874221 >Engineering cookbook math has turned out to be extremely important stuff before. Such as?

>>	Anonymous Mon Jul 6 15:13:57 2020 No.11874243 >>11874232 I think they are involved in the proof of the Poincaré conjecture somehow. t. differerent(ial) anon

>>	Anonymous Mon Jul 6 15:15:04 2020 No.11874247 >>11874243 I don't like the proof of the poincaré conjecture. Too analytic for me, I wish there was a more geometric proof available.

>>	Anonymous Mon Jul 6 15:18:41 2020 No.11874258 >>11874232 >>11874240 The product rule.

>>	Anonymous Mon Jul 6 15:19:36 2020 No.11874261 >>11874258 I'm going to post it

>>	Anonymous Mon Jul 6 15:20:09 2020 No.11874263 >>11874261 Dozo.

>>	Anonymous Mon Jul 6 15:20:49 2020 No.11874266 >>11874247 I've never bothered to take a look at it. It's sufficient for me that it has been proved.

Anonymous Mon Jul 6 15:21:32 2020 No.11874269

>>11874263
Couple weeks into calculus 1 now, doing well, already past the chain rule and beyond. Quotient rule was a joke. Product rule remains my specialty.

I ask my professor his thoughts on quantum mechanics and partial derivatives. He's impressed i know about the subject. We converse after class for some time, sharing mathematical insights; i can keep up. He tells me of great things ahead like series and laplacians. I tell him i already read about series on wikipedia. He is yet again impressed at my enthusiasm. What a joy it is to have your professor visibly brighten when he learns of your talents.

And now I sit here wondering what it must be like to be a brainlet, unable to engage your professor as an intellectual peer.

All of the deep conversations you people must miss out on because you aren't able to overcome the intellectual IQ barrier that stands in the way of your academic success... it's so sad.

My professor and I know each other on first name basis now, but i call him Dr. out of respect.

And yet here you brainlets sit, probably havent even made eye contact with yours out of fear that they will gauge your brainlet IQ levels.

A true shame, but just know it is because i was born special that i am special. I can't help being a genius, nor can my professor.

Two of a kind is two flocks in a bush.

>>	Anonymous Mon Jul 6 15:24:32 2020 No.11874279 >>11874266 disgusting I bet you're the kind of guy who think that the classification of finite groups has been proven

>>	Anonymous Mon Jul 6 15:27:02 2020 No.11874285 >>11874279 Why would I think that?

>>	Anonymous Mon Jul 6 15:28:03 2020 No.11874288 >>11874285 I don't consider any theorem proven until I've completely read the whole proof and well understood it

>>	Anonymous Mon Jul 6 15:28:44 2020 No.11874289 >>11874288 Well that's nice. I'm happy for you.

>>	Anonymous Mon Jul 6 15:29:18 2020 No.11874290 >>11874289 thank you

>>	Anonymous Mon Jul 6 15:32:09 2020 No.11874299 >>11874288 tips fedora

Anonymous Mon Jul 6 15:49:16 2020 No.11874352

>>11873927
because of engineers and the dumber physicists. its the same reason there are intro to proofs classes that some universities force students to take, CS majors are on the whole very stupid and have trouble with abstract reasoning so they shuffle them through many layers of weed out courses. This is why Calculus is split into 3 semesters of topics and why organic chemistry is as well. Stupid people who shouldn't be at university.

Anonymous Mon Jul 6 16:00:10 2020 No.11874383

>>11874269
Holy shit you stupid fucking undergrad. You do realise that calculus 1 is so fucking elementary even a child could learn it? In fact children do learn calculus because calculus is for idiot children. Undoubtedly you are taking some shit, remedial college class at a noname college - you think lemmas are a fucking fruit from Lord of the Rings (I'm doing quite well at a top 20 graduate programme and have passed all of my qual's with flying colours, so don't bullshit me).

Your professor does NOT want to talk with you snivelling child. He DOESN'T CARE ABOUT YOU. I'm sure he was holding back his laughter when you raised the topics and you may have just seen him rub his left arm after experiencing symptoms of an oncoming heart attack induced purely by the cringe of you skimming Wikipedia pages after jacking off to Brady on Numberphile.

You are not special and clearly will never make it past trivial proof courses before you 'drop out' and 'transition' to your preferred field of study - drooling, smooth brain comp. sci. Seen the same with your types dozens of times as a TA and it's always the same. Bright young kid with a big attitude from a small part of town moves to the big boy pond and can't cope. Horizons too narrow. Goes back to the baby pond with newfound superiority complex over the urchins and engineers that tremble in your mathematically superior presence. Many. Such. Cases.

Anonymous Mon Jul 6 16:02:44 2020 No.11874393

>>11874383
Hah, i learned the product rule in only 2 hours from a handful of examples on the bored. I doubt there remains any challenge for me in calculus, possibly even mathematics itself if i apply myself enough. As i said, the quotient rule was a joke.

Most of the time i am operating at half power because i'm pretty lazy and i dont care too much about being a golden student, but when i really try i can use 100% of my brain like Einstein and decimate any "difficult" math in hours.

I barely even need to study because i can intensely focus on subjects and learn them in a fraction of the time it probably takes others.

Honestly, not to toot my own whistle, but sometimes i think i might be a distant descendant of Newton himself. I get these waves of clarity and understanding sometimes that just put me in a euphoric haze that takes minutes to come out of.

Well i am a genius so honestly it makes sense.

>>	Anonymous Mon Jul 6 16:03:12 2020 No.11874395 File: 131 KB, 1255x1000, file.png [View same] [iqdb] [saucenao] [google] >>11874383 kekw

>>	Anonymous Mon Jul 6 16:08:02 2020 No.11874416 >>11874383 Mmm new pasta

>>	Anonymous Mon Jul 6 16:09:08 2020 No.11874422 File: 82 KB, 1892x414, Screenshot 2020-07-06 at 16.08.02.png [View same] [iqdb] [saucenao] [google] >>11874383 >he wrote a seething essay responding to four year old pasta oh no no no no no no

>>	Anonymous Mon Jul 6 16:13:56 2020 No.11874434 >>11874395 >kekw back to twich faggot

>>	Anonymous Mon Jul 6 16:14:37 2020 No.11874436 >>11874434 Bold of you to assume I'm not already there.

Anonymous Mon Jul 6 16:15:52 2020 No.11874438

>>11874190
>(not talking about DE theory and functional analysis as they are needed to develop the actual numerical methods)
I don't think you've actually read any "DE theory" or you wouldn't be bitching about how you're never, like, gonna use integration in your REAL math life teacher

>>	Anonymous Mon Jul 6 16:16:25 2020 No.11874441 >>11874436 >>>/g/

>>	Anonymous Mon Jul 6 16:16:57 2020 No.11874445 >>11874434 malding

>>	Anonymous Mon Jul 6 16:18:21 2020 No.11874451 Hello frens, was reading about ancient mathematics and also a paper on persian folk methods of calculating interest. Am I right in saying that most 'old' maths before proofs and formalisation took of was essentially the approximation of functions?

>>	Anonymous Mon Jul 6 16:20:04 2020 No.11874458 >>11874451 no analysis didn't exist before the XVIth century, everything before was algebra and geometry

>>	Anonymous Mon Jul 6 16:20:50 2020 No.11874460 Are there other groups, besides the standard group of quaternions, where all subgroups are normal subgroups, but the group itself is not abelian?

>>	Anonymous Mon Jul 6 16:21:27 2020 No.11874463 >>11874460 The simple groups.

Anonymous Mon Jul 6 16:22:53 2020 No.11874466

>>11874460
Yes, but kind of no, in the sense that they're fundamentally all quaternion-y in nature. Such groups are called Hamiltonian.
https://planetmath.org/hamiltoniangroup#:~:text=A%20Hamiltonian%20group%20is%20a,theorem%20below).

>>11874463
[math]\mathbb{CRINGE}[/math]

>>	Anonymous Mon Jul 6 16:35:04 2020 No.11874491 >>11874438 you mean the difficulty is laughable in comparison? Otherwise no, I really can use my computer, thanks. >teacher what did you mean by this?

>>	Anonymous Mon Jul 6 16:39:14 2020 No.11874497 >>11874491 >mock him >flies straight over his head can't say I'm that surprised honestly

>>	Anonymous Mon Jul 6 16:40:46 2020 No.11874502 >>11874190 >I'm a dumb undergrad You've made that abundantly clear.

>>	Anonymous Mon Jul 6 16:46:59 2020 No.11874520 File: 45 KB, 468x405, 1592852135750.jpg [View same] [iqdb] [saucenao] [google] WHAT THE FUCK IS A DIVISOR HOW DO I THINK OF DIVISORS

>>	Anonymous Mon Jul 6 16:51:26 2020 No.11874536 >>11874520 A divides B if theres something so that Ax = B but yeah, its just a useless word, takes just as much time to just write Ax = B so i dont know why people avoid doing it

>>	Anonymous Mon Jul 6 16:52:16 2020 No.11874543 File: 610 KB, 805x720, cmMu4MI.png [View same] [iqdb] [saucenao] [google] >>11874520 It's not too hard. For example, 3 divides 6, because 3 times 2 equals 6. Good luck anon!

Anonymous Mon Jul 6 16:54:35 2020 No.11874549

>university offers free professional overleaf account only under the computer science department
Fuck this man, this is bullshit. I can't believe you have to pay $80 a year (even with student discount) just to have more than 1 collaborator and to be able to sync to Dropbox/Git.

>>	Anonymous Mon Jul 6 17:06:17 2020 No.11874579 >>11874520 BRO WHAT PART DON'T YOU FUCKING GET WEIL AND CARTIER DIVISORS ARE SUCH A BASIC FUCKING CONCEPT CAN'T YOU GET CONFUSED BY SOME ACTUALLY CONFUSING SHIT?

>>	Anonymous Mon Jul 6 17:13:04 2020 No.11874590 >>11874520 >please can I be a meme nobody pays attention to me in real life please if I post this every thread can I be a meme please

>>	Anonymous Mon Jul 6 17:18:20 2020 No.11874605 File: 23 KB, 397x480, 1593360085744.jpg [View same] [iqdb] [saucenao] [google] >>11874520 [math]A\|B \Rightarrow \lambda A=B[/math]

>>	Anonymous Mon Jul 6 17:24:03 2020 No.11874621 >>11874590 Elliptic curves gigachad > divisor autist

>>	Anonymous Mon Jul 6 17:24:13 2020 No.11874622 >>11874520 go back to your slav shit hole fucking alcoholic tranny and never post in these threads again

>>	Anonymous Mon Jul 6 17:25:27 2020 No.11874630 >>11874579 if its such a basic concept, then explain it in basic terms how do i think of a canonical divisor? >>11874590 ive posted it in two threads and someone has yet to explain, you read a little too much into things little guy

>>	Anonymous Mon Jul 6 17:27:18 2020 No.11874640 >>11874622 Eastern Europe is the greatest place on earth.

>>	Anonymous Mon Jul 6 17:30:07 2020 No.11874648 >>11874640 every uk plumber disagrees

Anonymous Mon Jul 6 17:32:05 2020 No.11874659

>>11874520
hypersurfaces with multiplicities or a constraint on zeroes and poles (basically the condition (f) >= D imposes minimum orders of vanishing/maximum orders of poles)
Riemann Roch allows you to prove that some functions with certain zeroes and poles exist, which is helpful because many existence problems can be phrased in these terms

>>	Anonymous Mon Jul 6 17:33:20 2020 No.11874664 >>11874630 41% yourself faggot

>>	Anonymous Mon Jul 6 17:33:58 2020 No.11874665 >>11874664 70% yourself first.

>>	Anonymous Mon Jul 6 17:35:26 2020 No.11874667 >>11874648 I'm still going do the reverse plumber and go back after graduation. I miss forests

Anonymous Mon Jul 6 17:37:46 2020 No.11874671

>>11874630
>how do i think of a canonical divisor?
You have a meromorphic one form. You can locally trivialize the canonical bundle to obtain from it a meromorphic function, and since the transition maps between different trivializations are holomorphic, you have a section of M_X/O_X, that is, a Cartier divisor.

>>	Anonymous Mon Jul 6 17:38:48 2020 No.11874673 >>11874671 >one form n-form.

>>	Anonymous Mon Jul 6 17:39:53 2020 No.11874678 >>11874667 vgh... the forests of pooland... this is what they took from you

>>	Anonymous Mon Jul 6 17:40:06 2020 No.11874680 File: 503 KB, 1280x853, europeslostf.jpg [View same] [iqdb] [saucenao] [google] >>11874667 I know that feeling.

>>	Anonymous Mon Jul 6 17:42:12 2020 No.11874689 >pointless topology why study it then?

>>	Anonymous Mon Jul 6 17:44:16 2020 No.11874693 >>11874689 It gives you a sobering space.

>>	Anonymous Mon Jul 6 17:47:15 2020 No.11874699 >>11874502 please expand on your answer

>>	Anonymous Mon Jul 6 17:52:36 2020 No.11874712 Anon, quick, you have to prove that [math]PGL_2(\mathbb{F}_3) \simeq S_4[/math] without checking in a book or on google, otherwise aliens will destroy the earth!

>>	Anonymous Mon Jul 6 17:55:28 2020 No.11874718 >>11874712 Both have order 24. QED

>>	Anonymous Mon Jul 6 17:56:24 2020 No.11874721 >>11874718 bro... now aliens will kill us... what have you done...

>>	Anonymous Mon Jul 6 17:56:45 2020 No.11874722 >>11874497 Don't think I mocked anyone. No, I really didn't read anything on DE theory, that's not second year undergrad material.

>>	Anonymous Mon Jul 6 17:56:57 2020 No.11874723 File: 162 KB, 986x554, joe biden.jpg [View same] [iqdb] [saucenao] [google] >>11874718 NO ANON!

>>	Anonymous Mon Jul 6 17:57:01 2020 No.11874724 >>11874721 good. Fuck them kids

>>	Anonymous Mon Jul 6 17:58:36 2020 No.11874726 >>11874722 jesus you're dense

>>	Anonymous Mon Jul 6 17:59:02 2020 No.11874729 >>11874689 >algebraic analysis make up your mind then

>>	Anonymous Mon Jul 6 18:00:59 2020 No.11874732 File: 40 KB, 647x659, 87f.jpg [View same] [iqdb] [saucenao] [google] >>11874726 >you're dense

>>	Anonymous Mon Jul 6 18:04:35 2020 No.11874745 >>11874726 Dense in which space?

>>	Anonymous Mon Jul 6 18:06:17 2020 No.11874755 >>11874745 Hausdorff

>>	Anonymous Mon Jul 6 18:06:55 2020 No.11874759 >>11874755 Which one of them?

>>	Anonymous Mon Jul 6 18:08:27 2020 No.11874766 >>11874759 [math]T_6[/math]

>>	Anonymous Mon Jul 6 18:09:05 2020 No.11874771 >>11874726 What did I do so bad? Is my original question harmful or something? Note that some answers that may seem to be mine aren't.

Anonymous Mon Jul 6 18:17:27 2020 No.11874792

>>11874771
>Is my original question harmful or something?
Harmful? No, it's a post.
What you "did so bad" is that you did not post a question. You posted a paragraph-long rant with a bunch of different semi-related semi-rhetorical questions mixed through it disguised as a question. These are obnoxious, unanswerable and unfortunately common.

And the stuff about "what's the point of training to be integrating monkeys" leaves the impression that the source of this is that you're not particularly good at integrating and rather than get better you've decided to try and justify why it doesn't really matter because nobody needs to integrate anyway.

Anonymous Mon Jul 6 18:18:02 2020 No.11874794

>>11874771
I suspect the one with which you jest intended to insult you by suggesting you were both intellectually shallow as to only care for the applications - a common brainlet trope. And that would then 'apply' your meagre knowledge and skills as a math teacher, as that is all you are good for. "REAL (math) life (teacher)".

>>	Anonymous Mon Jul 6 18:19:52 2020 No.11874802 >>11874794 based socially intelligent autist >>11874792 say thank you to the above anon

>>	Anonymous Mon Jul 6 18:25:34 2020 No.11874821 >>11874712 the size of the group is 48/2 = 24 it acts faithfully on the four elements of the projective line so it is equal to S4

Anonymous Mon Jul 6 18:26:35 2020 No.11874825

>>11874792
OK, I'll compile the questions:
>What are the outlines to proofs that something isn't solvable analytically (very optional - the question might be dumb and I will probably get to this later in my studies anyway)
>Are there cases when an analyst beats a machine in the sheer art of integrating / solving DEs or any other problem really

And you are right. I kind of have an aversion to learning to do anything mechanically. Finding proofs and ways of thinking abstractly are really fun, but needing to learn solving numeric problems ruins the undergrad experience. I'm probably just lazy or dumb.

And thank you for taking the time to answer.

Anonymous Mon Jul 6 18:33:55 2020 No.11874864

>>11874712
G = PGL(2,3) acts on [math]\mathbb P^1(\mathbb F_3) = \{0,1, 2, \infty\}[/math]. Moreover, it acts exactly 3-transitively, ie. given any triplet of distinct points [math](a,b,c) \in \mathbb P^1(\mathbb F_3)[/math], there exists exactly one element of G that maps a to 0, b to 1 and c to [math]\infty[/math] (explicitly, this can be expressed as a cross-ratio).
Because [math]\mathbb P^1(\mathbb F_3)[/math] has exactly 4 points, we have clearly defined an isomorphism between [math]PGL(2, \mathbb F_3)[/math] and [math]\mathfrak S(\mathbb P^1(\mathbb F_3))[/math]

>>	Anonymous Mon Jul 6 18:36:11 2020 No.11874871 >>11874864 Based and isopilled.

>>	Anonymous Mon Jul 6 18:38:23 2020 No.11874879 >>11874864 >Moreover, it acts exactly 3-transitively Can you prove this constructively or do you just appeal to the action having trivial stabilizer and the element count anon posted earlier?

Anonymous Mon Jul 6 19:01:51 2020 No.11874934

>>11874825
>What are the outlines to proofs that something isn't solvable analytically
This isn't particularly dumb. The proof that so-and-so function doesn't have an elementary antiderivative, say, is fairly complicated. I don't know if most people ever actually see the formal justification why [math]\int e^(x^2)[/math] and similar things don't have a nice closed form. I never did.
There are other types of things like this (does my question have a nice answer) that are easier to answer, e.g. for very large classes of finite summations there is an algorithm that will decide if there's a closed form for it, and what it is if it's there.
>Are there cases when an analyst beats a machine in the sheer art of integrating
It depends what you mean by "art of integrating". If your idea of integration is engineering-tier "hurf I want the value of this definite integral to 4 decimal places", then no, obviously machines are sufficient and superior for this. But there are plenty of tougher integrals which have a perfectly clean closed form Mathematica can't find. Flip through stackexchange for a few minutes and you'll find plenty of them.

>I kind of have an aversion to learning to do anything mechanically
There's a word in here that brings up an important point in this. You have to _learn_ to do it mechanically. Knowing what something is conceptually is not at all the same as knowing how it works. Either by itself is a shaky half-understanding.
I don't believe you can really claim "I understand integration" if you hit a wall when you're asked to integrate anything that isn't immediately trivial. That's no different than saying "I understand addition" but then you pull out a calculator to figure out 177+29

Anonymous Mon Jul 6 19:08:48 2020 No.11874951

>>11874934
>I don't know if most people ever actually see the formal justification why [math]\int e^{(x^2)}[/math] and similar things don't have a nice closed form. I never did.
I did when I took my first analysis course
it has to do with galois theory of differential equations IIRC

>>	Anonymous Mon Jul 6 19:10:18 2020 No.11874957 >>11874951 >first analysis course >galois theory of differential equations fucking euros

Anonymous Mon Jul 6 19:11:41 2020 No.11874960

>>11874934
You didn't answer his other question: what can an analyst do that applied/approximation methods can't do. I know the answer in the narrow sense for my field but I'm curious if you know of any general answers here specifically for the sciences and applied math. Not him obviously, just curious.

>>	Anonymous Mon Jul 6 19:11:55 2020 No.11874961 https://www.springer.com/gp/book/9780387953854 is this book brainlet? Can I go to linear algebra from here?

>>	Anonymous Mon Jul 6 19:13:04 2020 No.11874963 >>11874961 >is this book brainlet? no >Can I go to linear algebra from here? just read the linear algebra chapters in the book

>>	Anonymous Mon Jul 6 19:13:37 2020 No.11874965 >>11874383 Epic. Simply epic.

>>	Anonymous Mon Jul 6 19:15:33 2020 No.11874971 >>11874961 That book is the final boss of math.

Anonymous Mon Jul 6 19:17:47 2020 No.11874979

>>11874934
Thanks for the great answer.

>But there are plenty of tougher integrals which have a perfectly clean closed form Mathematica can't find. Flip through stackexchange for a few minutes and you'll find plenty of them.
Sweet!

>That's no different than saying "I understand addition" but then you pull out a calculator to figure out 177+29
Still, being able to figure out 177+29 is the answer to a particular problem seems better than manually figuring out the result itself.
I recently talked to some econ majors and their math exam was disgusting. Obviously didn't bash them for that, but what they learn there is to solve stuff mechanically and the exam then literally consists of question of the type "solve this DE by this method" or "by finding the determinant, figure out if this matrix is singular".
They only learn how to compute the determinant or the eigenvalues, but they never know what they are. I'm really not joking! I asked them what eigenvalues were (as if I didn't know - they didn't know I study math) and they only answered how to obtain them. They also don't know what a matrix being singular means.
That's exactly what I don't want from my math education.

>>	Anonymous Mon Jul 6 19:18:43 2020 No.11874982 >>11874971 I can't get past the logical pre-reqs, I guess I gotta turn the difficulty down

>>	Anonymous Mon Jul 6 19:20:26 2020 No.11874987 water

>>	Anonymous Mon Jul 6 19:21:12 2020 No.11874991 http://libgen.is/book/index.php?md5=A49D30C0FBF8C7ED43F88AA1DC690ED2 we got too cocky

>>	Anonymous Mon Jul 6 19:21:13 2020 No.11874992 >>11874934 https://math.stackexchange.com/questions/155/how-can-you-prove-that-a-function-has-no-closed-form-integral >>11874951 >Liouville knew about differential Galois theory

>>	Anonymous Mon Jul 6 19:22:04 2020 No.11874996 >>11874979 Determinant gives you the scaling value for the volume of a particular linear transformation. Eigenvalues are a scalar for their associated eigenvector. A singular matrix is a square matrix A, such that \|A\| = 0.

>>	Anonymous Mon Jul 6 19:23:35 2020 No.11875000 >>11874996 these aren't satisfying explanations and offer no intuition. the volume thing is bandied about as if it is really intuitive but its not even clear what you mean when you say that.

>>	Anonymous Mon Jul 6 19:24:07 2020 No.11875002 >>11874996 yeah, I know. I'm also not an econ major.

>>	Anonymous Mon Jul 6 19:24:16 2020 No.11875003 >>11875000 t. brainlet

>>	Anonymous Mon Jul 6 19:25:25 2020 No.11875008 >>11875000 Waste of trips.

>>	Anonymous Mon Jul 6 19:27:17 2020 No.11875012 >>11875003 I know what all of these things are, I'm stating that this isn't a good explanation and doesn't indicate intuition. These are all regurgitations of definitions or fake insight that you can find introductory textbooks and on yt videos.

>>	Anonymous Mon Jul 6 19:28:37 2020 No.11875014 >>11873794 https://staff.um.edu.mt/jmus1/Diophantus.pdf simple as

>>	Anonymous Mon Jul 6 19:30:31 2020 No.11875019 File: 15 KB, 178x331, 1593383567433.jpg [View same] [iqdb] [saucenao] [google] >>11875012 >fake insight

>>	Anonymous Mon Jul 6 19:31:24 2020 No.11875023 >>11875012 >fake insight What did he mean by this?

Anonymous Mon Jul 6 19:33:18 2020 No.11875028

>>11875019
>>11875023
Something that masquerades as a deep and fundamental understanding of an abstraction but does not allow for greater exploration of the idea, connect properly with other abstractions related to the idea, or allow more effective implementation of the practical aspects of the idea. If you would explain in your own words what a determinate is instead of regurgitating the superficial geometric intuition you can find in literally any linear algebra textbooks chapter on determinates I would probably have said nothing at all. Your explanation of singular matrices and eigenvalues is also laughable if you are trying to convey meaning to someone who has little to no experience with lin alg.

>>	Anonymous Mon Jul 6 19:34:19 2020 No.11875030 >>11875028 t. brainlet

>>	Anonymous Mon Jul 6 19:34:38 2020 No.11875031 >>11874996 >>11875003 >>11875008 >>11875019 >>11875023 Are all of these by one poster? This is suspisious, the first post absolutelly misses the point of the post it answers and the others just shit the general up.

>>	Anonymous Mon Jul 6 19:35:29 2020 No.11875037 >>11875030 Alright, so you don't know how to explain these things and are as useless and ignorant as the idiots that the original anon was bitching about above.

>>	Anonymous Mon Jul 6 19:35:44 2020 No.11875038 >>11875037 t. brainlet

Anonymous Mon Jul 6 19:40:11 2020 No.11875055

>>11875037
>idiots that the original anon was bitching about above
Didn't mean to bitch about them. It's not their fault they are taught something I think is useless and uninteresting, they are nice people otherwise- We had a couple beers, might go out with one of the chicks among them (to brag here a little c:).

>>	Anonymous Mon Jul 6 19:40:12 2020 No.11875056 >>11874383 >you think lemmas are a fucking fruit from Lord of the Rings Lembas are a type of bread

Anonymous Mon Jul 6 19:41:14 2020 No.11875060
File: 88 KB, 1280x1078, The volume of this parllelepiped is the absolute value of the determinant of the matrix formed by the rows constructed from the vectors r1, r2, and r3.png [View same] [iqdb] [saucenao] [google]

>>11875038
Pictures are better than regurgitating, not as satisfying as a good explanation but they're still an improvement.

>>	Anonymous Mon Jul 6 19:45:26 2020 No.11875076 >>11875060 >regurgitating a picture you can find in literally any google image search

>>	Anonymous Mon Jul 6 19:47:59 2020 No.11875083 >>11874961 Are you memeing Why not read a linear algebra text first

Anonymous Mon Jul 6 20:21:24 2020 No.11875204

>>11874879
You can prove this directly yes, it is a general fact about the projective line over any field F.
It is an exercise in linear algebra: It amounts to proving that, given a base (u,v) and (u',v') of F^2, then there exists only one linear map such that f(u) is collinear to u, f(v) to v', and f(u+v) to u'+v', up to homothety.

>>	Anonymous Mon Jul 6 20:25:51 2020 No.11875216 >>11875028 What's the deeper meaning of the determinant?

Anonymous Mon Jul 6 20:27:42 2020 No.11875224

>>11875076
I am not saying this is sufficient I'm saying that this would be less useless than what was offered above. Neither is particularly illuminating in my honest opinion but this at least is coherent. You don't have to define the determinate the way that it was defined above either and I don't think its less intuitive to use the other interpretations.

Anonymous Mon Jul 6 20:37:15 2020 No.11875259

>>11875028
There is no deeper meaning. It is literally what it is.
If you rephrase it in terms of exterior algebra, then given [math]f: V \to V[/math] an endomorphism of a vector space of dimension n, then [math]\bigwedge^n V[/math] has dimension 1 and therefore the endomorphism [math]\bigwedge^n f: \bigwedge^n V \to \bigwedge^n V[/math] corresponds to multiplying by some constant, which is exactly [math]\det f[/math].
That space can be interpreted as the space of parallelotopes of dimension n. Therefore, det f is literally the scaling factor for the volume of parallelotopes. That is all there is to it.

>>	Anonymous Mon Jul 6 20:38:51 2020 No.11875265 >>11875204 Neat.

>>	Anonymous Mon Jul 6 20:43:20 2020 No.11875279 >>11871878 Is Chomsky a mathematician?

Anonymous Mon Jul 6 20:44:44 2020 No.11875285

>>11875259
I didn't say there was deeper meaning I said that
>Determinant gives you the scaling value for the volume of a particular linear transformation
Isn't satisfying and conveys no intuition. Its a poorly constructed sentence and isn't clear what the "volume of a particular linear transformation" even means or how this would relate to the determinant of a matrix. What you gave is an actual explanation, its too abstract for someone who has only a superficial understanding of matrix algebra which is the context of the original post above, econ majors being asked to compute determinants without knowing what they are or why they're useful. Of course if you are autistic and malicious you would just interpret what I said as a denial of the definition's validity or as claiming deeper meaning behind the object. Never claimed such a thing, only criticizing the value of this. Its as useless as saying the eigenvalue is the corresponding scalar for an eigenvector. What is an eigevector, why is it useful and how does one come up with eigenvalues? These can be answered easily but of course that wasn't what they sought to do, they were being a pedantic smarmy faggot giving a thoughtless answer to rhetorical questions within a post complaining about econ majors. Context is important for communicating.

>>	Anonymous Mon Jul 6 20:49:31 2020 No.11875308 >>11875285 Take your meds.

Anonymous Mon Jul 6 20:53:44 2020 No.11875326

>>11875308
What? How is referencing previous posts and insinuating malicious autism schizophrenic in any way? They posted multiple retarded petulant replies when all I said was that "volume of a particular linear transformation" isn't insightful. What does that even mean to a freshman taking linear algebra? If you don't at least draw a picture or give a more thorough explanation they might as well just stick to plug and chug understanding and not even bother. What's wrong with proper pedagogy and giving a damn about being clear in your definitions? The original post was about some person's experience at uni which they used to justify their frustration with integration and solving diff eq. The reply they got was totally inappropriate and also vapid and useless for what it was intended to answer.

>>	Anonymous Mon Jul 6 20:55:13 2020 No.11875334 >>11875285 >>11875326 how does your colon smell?

Anonymous Mon Jul 6 20:56:11 2020 No.11875336

>>11875265
Yup, more generally given bases (u_1, ..., u_n) and (u'_1,...,u'_n), there exists exactly one map (up to homothety again) such that f(u_i) is collinear to u'_i and f(u_1+...+u_n) is collinear to u'_1+...+u'_n.
The set of lines generated by these points is called a projective frame in P^{n-1} https://en.wikipedia.org/wiki/Projective_frame

and choosing images for these points determines a unique element of PGL(n,F)

Anonymous Mon Jul 6 21:01:30 2020 No.11875352

>>11875334
Suck my cock, faggot. The answers were insipid and useless, the context was not asking for answers to those questions either. Presumably he knew already what the determinant is, what eigenvalues are, what a singular matrix is. Those questions were posed as a rhetorical device. I don't agree with whining about this, econ majors are idiots and wouldn't benefit from learning conceptual understanding in the first place. That you're this upset about it shows nothing but aggressive malevolent autism.

>>	Anonymous Mon Jul 6 21:03:42 2020 No.11875357 File: 150 KB, 1172x659, nordYes.jpg [View same] [iqdb] [saucenao] [google] >>11875352 >aggressive malevolent autism

>>	Anonymous Mon Jul 6 21:11:04 2020 No.11875381 File: 206 KB, 900x989, __yakumo_ran_touhou_drawn_by_poronegi__b4fca9bcc411df7ad4768da853f94b45.jpg [View same] [iqdb] [saucenao] [google] >>11875352 >econ majors are idiots Woah, rude.

>>	Anonymous Mon Jul 6 21:13:14 2020 No.11875387 >>11874383 based and disillusioned-grad-student-pilled

>>	Anonymous Mon Jul 6 21:15:44 2020 No.11875401 >>11875352 imagine seething this hard over determinants do you masturbate to pictures of Sheldon Axler at night?

>>	Anonymous Mon Jul 6 21:17:33 2020 No.11875406 >>11874383 jokes on you I'm not even a highschool grad goes to show how elite your shit really is.

>>	Anonymous Mon Jul 6 21:21:48 2020 No.11875426 File: 289 KB, 600x724, Leibnizfem.jpg [View same] [iqdb] [saucenao] [google] I never realized determinants were this based, bros.

>>	Anonymous Mon Jul 6 21:24:14 2020 No.11875438 File: 120 KB, 1281x1200, 138458348862.jpg [View same] [iqdb] [saucenao] [google] >Gessel-Viennot Lemma

>>	Anonymous Mon Jul 6 21:34:08 2020 No.11875464 >>11875438 Name three (3) areas where this lemma is useful.

>>	Anonymous Tue Jul 7 03:17:18 2020 No.11876416 >>11874383 is this part of the pasta?

Anonymous Tue Jul 7 03:23:02 2020 No.11876428

>>11871878
Ignore this if it doesn't fit thread. Posted on sqt.

Spivak vs Stewart? I have taken up to multivariable in college. Wanted to relearn calculus. Want a more intuitive understanding again as opposed to "plug and chug"
Also does the edition matter?

>>	Anonymous Tue Jul 7 03:26:00 2020 No.11876438 >>11876428 Have you even bothered to open Stewart? Its the definition of made-for-cattle retard plug and chug engi-codemonkey slop.

>>	Anonymous Tue Jul 7 03:26:01 2020 No.11876439 >>11871878 How old does a theorem have to be for it to be a "classic result"?

>>	Anonymous Tue Jul 7 03:38:56 2020 No.11876464 >>11876438 Not really. Just skimmed it the other day at the bookstore. Thanks for the heads up

Anonymous Tue Jul 7 03:44:09 2020 No.11876479

4 options.

I can get a CS minor (additional 6 classes 3000 dollars each)
I can study for the GRE (idk how long that'll take)
I can get a research experience for undergraduate in the greater Boston area
Take a few graduate courses

I'm only in Boston for 3 years and the college is Tufts. Parents are paying full ride.

Out of these four options rank them in order of importance? Should I bother with the CS minor? A starting salary will pay off the minor and I kinda need to pay for grad school too.

>>	Anonymous Tue Jul 7 03:54:22 2020 No.11876500 >>11876439 50 years.

>>	Anonymous Tue Jul 7 04:00:34 2020 No.11876517 >>11876428 Stewart is very much plug and chug. Spivak is a fun read, but do note that it only cover single variable calc.

>>	Anonymous Tue Jul 7 04:03:26 2020 No.11876519 >>11876517 Thank's there are no real difference between versions other than price right? I doubt much of anything new has come up in calculus

Anonymous Tue Jul 7 04:03:48 2020 No.11876520
File: 121 KB, 1278x993, 1536910842068.jpg [View same] [iqdb] [saucenao] [google]

>>11876428
are you familiar with proofs? if so, ross's elementary analysis and baby rudin side by side
>>11876479
1. REU
2. Grad courses
3. GRE
4. CS minor

(by gre i assume you mean the math subject test and not the general gre)

>>	Anonymous Tue Jul 7 04:05:32 2020 No.11876522 bros... i love maths

>>	Anonymous Tue Jul 7 04:12:00 2020 No.11876531 >>11876520 >baby rudin This? https://www.amazon.com/Principles-Mathematical-Analysis-Rudin/dp/1259064786 And no not really, Other than what I did for linear algebra. Do I read all three at the same time if not?

>>	Anonymous Tue Jul 7 04:16:34 2020 No.11876534 >>11876520 >>11876531 My bad. Misread

Anonymous Tue Jul 7 04:18:50 2020 No.11876540
File: 6 KB, 234x216, images (6).jpg [View same] [iqdb] [saucenao] [google]

>>11876520
CS minor not worth it or are you memeing? How do you pay for grad school then?

I'm not familiar with the GRE as a sophomore transfer. Isn't this required or is it common to study for GRE after graduating?

I can definitely get a REU as a Tufts student one of the highest spendings per student in the country.

>>	Anonymous Tue Jul 7 04:31:08 2020 No.11876560 >>11875352 As >>11874979 poster, I agree with you. I just wanted to illustrate what I think is bad math education. No idea why some autist replied explaining those terms vaguely and then seethed hard when called out.

>>	Anonymous Tue Jul 7 04:44:25 2020 No.11876578 >>11875438 extremely based >>11875464 the result is obviously interesting in its own right

>>	Anonymous Tue Jul 7 04:54:19 2020 No.11876585 Studying algebraic geometry again... Perhaps this will be the time I finally understand it.

>>	Anonymous Tue Jul 7 04:56:27 2020 No.11876589 >>11876540 >CS minor not worth it or are you memeing? Depends on the courses.

>>	Anonymous Tue Jul 7 04:59:17 2020 No.11876591 >>11876585 still can't understand wtf sheaves have to do with varieties bros

Anonymous Tue Jul 7 05:32:18 2020 No.11876643

Say that I have a continuous linear functional [math]f: X \to \mathbb{R}[/math] and a convergent sequence of the form [math](a_n - b_n)_n[/math] in some space. Obviously [math](f(a_n) - f(b_n))_n[/math] then converges, but can I conclude that [math](f(a_n))[/math] and [math](f(b_n))_n[/math] converge?

>>	Anonymous Tue Jul 7 05:35:11 2020 No.11876646 >>11876643 no

>>	Anonymous Tue Jul 7 05:36:42 2020 No.11876649 >>11876643 Take a non-convergent sequence of reals, let X be the real line and let a and b both be that. Then a-b is obviously convergent but if f is the identity, then neither of those sequences converges.

>>	Anonymous Tue Jul 7 06:22:59 2020 No.11876740 >>11876649 *that sequence

Anonymous Tue Jul 7 07:02:14 2020 No.11876792

>>11876591
A section of a sheaf is a function or function-like object on your variety with some constraints. That is pretty much it.
The data of a sheaf packs all the information about the solutions to your problem (functions+constraints) on all the open sets of your space, which can be convenient. For example, cohomology of sheaves tells you when your problem has a global solution or can tell you "why" it does not (usually, it can be explained by the existence of a class in a higher cohomology group)

>>	Anonymous Tue Jul 7 08:31:59 2020 No.11876954 >>11876591 If [math] f(x,y) [/math] is some function on the plane [math] {\mathbb R}^2 [/math], then [math] g(x) := f(x,\sqrt{1-x^2} ) [/math] is some function on a circle, [math] {\mathbb S} [/math].

>>	Anonymous Tue Jul 7 08:35:08 2020 No.11876966 >>11873641 Roughly you can formalize n by nesting n empty sets

>>	Anonymous Tue Jul 7 09:15:59 2020 No.11877043 File: 68 KB, 831x1024, Gigachadint.jpg [View same] [iqdb] [saucenao] [google] >Unbounded self-adjoint operators on Hilbert spaces

Anonymous Tue Jul 7 09:22:13 2020 No.11877054
File: 109 KB, 902x902, 1 (1306).jpg [View same] [iqdb] [saucenao] [google]

>>11877043
>positive
>self-adjoint
>normal
>subnormal
>quasinormal
>hyponormal
>paranormal
>normaloid
>spectraloid
i really can't decide if operator theory is peak autism or peak comfy

>>	Anonymous Tue Jul 7 09:37:34 2020 No.11877077 >>11874004 I do it in my papers all the time :3

>>	Anonymous Tue Jul 7 09:39:33 2020 No.11877084 >>11877077 I would too if I would publish stuff, but I still do it in all the stuff I just store on my hard drive. Indeed, it is a nice way to write stuff.

>>	Anonymous Tue Jul 7 09:46:20 2020 No.11877112 >pretends to be a mathematician >does dynamical systems when will this meme stop? Nobody likes this stuff

>>	Anonymous Tue Jul 7 09:47:56 2020 No.11877118 >>11877112 >pretends

>>	Anonymous Tue Jul 7 09:48:51 2020 No.11877121 >>11877118 dynamical systems aren't math

>>	Anonymous Tue Jul 7 09:49:11 2020 No.11877122 >>11877121 They are.

>>	Anonymous Tue Jul 7 09:49:55 2020 No.11877124 >>11877121 Algebraic geometry isn't math.

>>	Anonymous Tue Jul 7 09:50:16 2020 No.11877128 >>11877122 If it's not AT or AG, it's not math.

>>	Anonymous Tue Jul 7 09:50:57 2020 No.11877129 >>11877128 >AT or AG Those aren't math.

>>	Anonymous Tue Jul 7 09:51:29 2020 No.11877131 >>11877124 >>11877129 you're wrong, stupid, and a tranny. Kill yourself.

>>	Anonymous Tue Jul 7 09:51:49 2020 No.11877134 RIP https://en.wikipedia.org/wiki/Ronald_Graham

>>	Anonymous Tue Jul 7 09:54:51 2020 No.11877144 >>11877131 If it isn't analysis it is not math. Nobody gives a shit about your programming socks and non-straight category of onions functors acting upon incelspaces.

>>	Anonymous Tue Jul 7 09:57:01 2020 No.11877149 >>11877144 >analysis pseudo mathematical bullshit invented by a literal incel in the 17th century. Maths is geometry, algebra and arithmetics, as the babylonians and greeks intended (i.e. the guys that invented maths).

>>	Anonymous Tue Jul 7 09:57:52 2020 No.11877151 >>11877144 Yippee woohoo integrals!

>>	Anonymous Tue Jul 7 10:00:59 2020 No.11877158 >>11877149 >>11877151 Analysis = testosterone Algebra = estrogen Keep coping tranny incels.

>>	Anonymous Tue Jul 7 10:02:01 2020 No.11877163 >>11877151 If there is no integral to be found it isn't math.

>>	Anonymous Tue Jul 7 10:02:21 2020 No.11877165 >>11877158 nice projection, tranny.

>>	Anonymous Tue Jul 7 10:03:03 2020 No.11877168 >>11877165 >tranny Analysts aren't known for sperging on Twitter about their programming socks, Algebraists are.

>>	Anonymous Tue Jul 7 10:03:45 2020 No.11877170 >>11877168 don't know, I don't go on twitter, I leave that to trannies like you.

>>	Anonymous Tue Jul 7 10:04:26 2020 No.11877172 >>11877170 >I don't go on twitter I go on Twitter to laugh at tranny algebarists.

>>	Anonymous Tue Jul 7 10:05:01 2020 No.11877175 >>11877172 wow cool life, tranny.

>>	Anonymous Tue Jul 7 10:06:54 2020 No.11877180 >>11877158 >>11877163 Good arguments. Analysis barbarians never cease to amaze me.

>>	Anonymous Tue Jul 7 10:07:24 2020 No.11877182 >>11877175 Cooler than masturbating to meaningless category masturbation. We have had 3000 years of Algebra yet no single use for it has been found.

>>	Anonymous Tue Jul 7 10:08:25 2020 No.11877185 >>11877180 >barbarians At least you admit that >>11877158 is true. >>11877149 > literal incel in the 17th century Archimedes did Integration to bash in the heads of filthy algebraists wit

Anonymous Tue Jul 7 10:09:36 2020 No.11877188

>>11877185
>Archimedes did Integration to bash in the heads of filthy algebraists wit
Archimedes did Integration to bash in the heads of filthy algebraists with catapults, learn a bit of history.

Sorry, I had a rage induced stroke when thinking of your mental masturbation.

>>	Anonymous Tue Jul 7 10:09:44 2020 No.11877190 >>11877185 Why the misandry? Perhaps you yourself are harbouring some repressed transgender thoughts, as there is nothing inherently barbaric in masculinity.

>>	Anonymous Tue Jul 7 10:10:09 2020 No.11877192 >>11877182 >use who cares lol? What are you an engineer? >>11877185 exhaustion isn't integration, but I wouldn't expect a smooth brained tranny to understand that

>>	Anonymous Tue Jul 7 10:11:09 2020 No.11877194 how Do I solve [eqn]3x^2 + 50x - 4200 = 0[/eqn] using the babylonian method? I could only do it with baskhara but it's cheating since I saw it on a ancient puzzles book

>>	Anonymous Tue Jul 7 10:11:14 2020 No.11877195 >>11877188 >analyshits is literally seething so much he can't type correctly can't make this shit up

>>	Anonymous Tue Jul 7 10:12:39 2020 No.11877200 >>11877190 >as there is nothing inherently barbaric in masculinity. Your brain has been ravaged by soi. >>11877192 >exhaustion isn't integration lol >>11877194 Ask the trannies, they will know. My suggestion would be to integrate both side.

>>	Anonymous Tue Jul 7 10:13:15 2020 No.11877203 >>11877195 Were you surprised, sister? Algebra trannies 9001 - anal boys 0, yet again.

>>	Anonymous Tue Jul 7 10:13:54 2020 No.11877207 >>11877195 >he can't type correctly I can. At least I use punctuation and capitalization, but you are too "pure" for that...

>>	Anonymous Tue Jul 7 10:14:53 2020 No.11877212 >>11877200 babylonians couldn't integrate. The reader is supposed to solve it only using completion of the square.

>>	Anonymous Tue Jul 7 10:14:59 2020 No.11877213 >>11877200 exhaustion is geometry, not analysis >>11877207 >bothering about gay stuff like that on the internet ok tranny

>>	Anonymous Tue Jul 7 10:15:41 2020 No.11877219 >>11877212 >babylonians couldn't integrate. I know, that is why their civilization is in ruins. They let the algebraists reign...

>>	Anonymous Tue Jul 7 10:17:03 2020 No.11877226 >>11877213 >exhaustion is geometry, not analysis And geometers never use integration... Your brain is dying soiboi. >>bothering about gay stuff like that on the internet You were bothered about me accidentally pressing "Post".

Anonymous Tue Jul 7 10:19:29 2020 No.11877235

>>11877226
>he doesn't know what differential geometry is
so not only are you a tranny, you're also an undergrad
>You were bothered about me accidentally pressing "Post".
>not bothering about punctuation is the same as not putting the entire sentence
Nice smooth brain, and nice reddit spacing

Anonymous Tue Jul 7 10:19:53 2020 No.11877237
File: 64 KB, 384x272, 1527801840051.png [View same] [iqdb] [saucenao] [google]

>>11877200
>Your brain has been ravaged by soi.
Nice projections, m8. Do you know what it tells about your testosterone levels if you really need to be afraid of some Asian beans that much? But hey, you have to be in an eternal Freudian anal phase to enjoy analysis, so it is no wonder you are unable to carry out even a train of thought that simple.

>>	Anonymous Tue Jul 7 10:20:36 2020 No.11877239 imagine a analysis bigot trying to read a projective geometry book

>>	Anonymous Tue Jul 7 10:20:42 2020 No.11877240 >>11877235 >so not only are you a tranny, you're also an undergrad So you don not know what sarcasm is. > reddit spacing Hello new fag, it has never been reddit spacing to sepperate different quotes you are responding to.

>>	Anonymous Tue Jul 7 10:21:52 2020 No.11877244 >>11877240 >So you don not know what sarcasm is. >I was only pretending to be retarded! And yes it is redditspacing faggot

>>	Anonymous Tue Jul 7 10:21:53 2020 No.11877245 God, this thread is a shitshow

>>	Anonymous Tue Jul 7 10:22:38 2020 No.11877249 >>11877237 >anime How have you not been pronounced braindead yet.

Anonymous Tue Jul 7 10:24:12 2020 No.11877256

>>11877244
>>I was only pretending to be retarded!
No, I was not. I was making fun of you, because you claimed that the geometer Archimedes wasn't doing integration because Integration is not geometry, although there is a whole field of geometry where Integration is extremely important.
Namely the best (=most analysis) part of geometry, differential geometry.

>>	Anonymous Tue Jul 7 10:25:13 2020 No.11877260 >>11877239 I like geometry, what are you seething about, undergrad?

>>	Anonymous Tue Jul 7 10:25:22 2020 No.11877261 >>11877256 >Integration is not geometry you're the one who claimed that m8

>>	Anonymous Tue Jul 7 10:26:28 2020 No.11877265 >>11877261 >you're the one who claimed that m8 No. Quote me where I said that. I said that exhaustion was effectively integration.

>>	Anonymous Tue Jul 7 10:27:15 2020 No.11877270 >>11877265 >I said that exhaustion was effectively integration. Yes, and it's wrong.

>>	Anonymous Tue Jul 7 10:28:29 2020 No.11877272 >>11877249 Oh but I'm a PhD student. Proudly Homosexual Degenerate

>>	Anonymous Tue Jul 7 10:28:51 2020 No.11877273 >>11877260 this geometry has no lengths, I don't think the analyst brain would be able to wrap around it

>>	Anonymous Tue Jul 7 10:30:36 2020 No.11877280 >>11877272 based

Anonymous Tue Jul 7 10:33:12 2020 No.11877285

>>11877270
>Yes, and it's wrong.
It is literally exactly the idea of Riemannian integration, in a different geometrical setting.
Also, if you brush up a bit on your history, you would know that Archimedes also used similar methods to find the areas of other objects, e.g. the Parabola.

>>11877272
That only makes my question more urgent.

>>11877273
?

>>	Anonymous Tue Jul 7 10:33:26 2020 No.11877286 >>11877112 >nobody likes this stuff sadly, I can confirm this t. doing a phd in dynamical systems

>>	Anonymous Tue Jul 7 10:33:44 2020 No.11877287 File: 139 KB, 331x10000, 1541257187406.jpg [View same] [iqdb] [saucenao] [google] JANNY OH JANNY SOME ANONS MADE A POOPOO IN THIS THREAD, COME CLEAN IT UP

>>	Anonymous Tue Jul 7 10:50:26 2020 No.11877337 >>11877286 what exactly led you to this decision? genuinely curious

>>	Anonymous Tue Jul 7 10:58:30 2020 No.11877367 >>11877134 literally who

>>	Anonymous Tue Jul 7 10:59:46 2020 No.11877370 >>11877367 graham number guy

>>	Anonymous Tue Jul 7 11:00:11 2020 No.11877371 >>11877370 literally what #

>>	Anonymous Tue Jul 7 11:00:58 2020 No.11877374 >>11877371 big meme number arrows go brrrrrr

>>	Anonymous Tue Jul 7 11:27:22 2020 No.11877490 File: 355 KB, 1920x1080, x1080.jpg [View same] [iqdb] [saucenao] [google] >>11877239 This shitshow is so shitty I made a shitty image about it.

>>	Anonymous Tue Jul 7 11:34:08 2020 No.11877507 >>11877490 “Should you just be an algebraist or a geometer?” is like saying “Would you rather be deaf or blind?” —M. Atiyah

>>	Anonymous Tue Jul 7 11:36:03 2020 No.11877515 >>11877507 the implication of course being that you would rather be neither

>>	Anonymous Tue Jul 7 11:37:09 2020 No.11877521 >>11877515 No, "not being an algebraist" is like being deaf, and "not being a geometer" is like being blind. So if youre both an algebraist and a geometer, you're neither deaf nor blind

>>	Anonymous Tue Jul 7 11:38:16 2020 No.11877525 >>11877285 Based analysist wins yet again

>>	Anonymous Tue Jul 7 11:39:22 2020 No.11877527 >>11877507 Literally every field in the image uses both algebra and analysis in large measures.

>>	Anonymous Tue Jul 7 11:40:05 2020 No.11877530 >>11877527 exactly, so its a dumb image

>>	Anonymous Tue Jul 7 11:43:02 2020 No.11877541 >>11877530 But that's exactly why the image is funny.

>>	Anonymous Tue Jul 7 12:00:04 2020 No.11877590 >>11877541 im not laughing

>>	Anonymous Tue Jul 7 12:00:52 2020 No.11877592 >>11877337 i was encouraged to do dynamical systems i didn't really know much about the subject so i thought "well maybe it'll turn out to be interesting" im the kind of human trash which goes with whatever other people tell me to do

>>	Anonymous Tue Jul 7 12:06:19 2020 No.11877616 >>11871878 nu: >>11877613

>>	Anonymous Tue Jul 7 12:36:38 2020 No.11877719 >>11877188 >Sorry, I had a rage induced stroke when thinking of your mental masturbation. Barbarism >11877121 Yes they are >>11877272 based as fuck

>>	Anonymous Tue Jul 7 17:14:57 2020 No.11878643 >>11877272 Oh yeah? Prove it. unzips

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