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# /sci/ - Science & Math

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No.12657631 [Reply] [Original] [archived.moe]

Diophantine Equations Edition

Formerly >>12645271

Talk maths.

 >> Anonymous Tue Feb 2 14:44:49 2021 No.12657655 Hello my math people :3*snickers*
 >> Anonymous Tue Feb 2 14:59:48 2021 No.12657812 >>12657631why do people act like e^(i*pi)=-1 is a big deal? literally just means half a full turn makes the number into it's opposite
 >> Anonymous Tue Feb 2 15:04:09 2021 No.12657839 >>12657812Associating three of the major constants in mathematics in one formula is not a big deal to you?
 >> Anonymous Tue Feb 2 15:07:56 2021 No.12657860 >>12657631>Diophantine Equations EditionYou mean petty high school exercises despised by grouchies who equate seriousness and importance to pompous names and artificial "sophistication"? Based. There is no place for bent mathematics. There must be a good balance between problem solving and theory building.
 >> Anonymous Tue Feb 2 15:08:54 2021 No.12657870 >>12657812Because the interesting stuff is too complicated for the average 20 year old.
 >> Anonymous Tue Feb 2 15:09:13 2021 No.12657875 >>12657860Why are you like this? Did you really get this offended because I called your pettiness out in the last thread? Grow the fuck up, kid.
 >> Anonymous Tue Feb 2 15:09:39 2021 No.12657880 >>12657839no? why would it be?also calling i a constant is a bit weird
 >> Anonymous Tue Feb 2 15:11:29 2021 No.12657888 >>12657880Care to tell us what is a big deal to you then, mr genius?
 >> Anonymous Tue Feb 2 15:12:37 2021 No.12657894 >>12657888actual theorems?this identity is more of a definition than anything really
 >> Anonymous Tue Feb 2 15:14:35 2021 No.12657913 >>12657894Oh, so definitions are useless and not important according to you? Let's exclude all definitions from mathematics then, see what you have left after that.
 >> Anonymous Tue Feb 2 15:16:09 2021 No.12657937 >>12657913>Oh, so definitions are useless and not important according to you?useless no, not important yes since they can be replaced by other definitions and are the fruit of human imagination only and not of actual mathematical logic>Let's exclude all definitions from mathematics then, see what you have left after that.nice strawman bro
 >> Anonymous Tue Feb 2 15:17:35 2021 No.12657953 >>12657860based>>12657875clampedElliptic curves are gay and squaring a prime is meaningless.
 >> Anonymous Tue Feb 2 15:17:51 2021 No.12657956 >>12657937Hahaha, you're too much, dude. So, definitions are a product of human imagination but mathematics and logic are not? Hahaha.
 >> Anonymous Tue Feb 2 15:18:43 2021 No.12657962 >>12657937>strawmanDefine strawman.Create an equivalent definition.Create a better definition in the context of mathematics.
 >> Anonymous Tue Feb 2 15:19:44 2021 No.12657966 Any recommendations on self-study textbooks for linear algebra?
 >> Anonymous Tue Feb 2 15:20:03 2021 No.12657971 >>12657956didn't write that. Read again, since one time seems to be too much fro your brain>are the fruit of human imagination ONLY and not of actual mathematical logici.e. theorems are the fruit of both human imagination and logic, definitions are the result of human imagination solely
 >> Anonymous Tue Feb 2 15:21:06 2021 No.12657981 >>12657971>>12657962Solve the exercises or you are clamped
 >> Anonymous Tue Feb 2 15:21:35 2021 No.12657994 >>12657981don't care, virgin.
 >> Anonymous Tue Feb 2 15:22:00 2021 No.12658002 File: 2.08 MB, 360x200, dbvj4x5-5de8957f-d38e-49db-906c-2ac0af486169.gif [View same] [iqdb] [saucenao] [google] [report]
 >> Anonymous Tue Feb 2 15:23:01 2021 No.12658020 >>12657994clamped
 >> Anonymous Tue Feb 2 15:23:30 2021 No.12658033 File: 11 KB, 219x187, 1552253606973.jpg [View same] [iqdb] [saucenao] [google] [report]
 >> Anonymous Tue Feb 2 15:24:16 2021 No.12658056 >>12657994>I'll invoke random arguments then drop them the moment I am pressed.Female?
 >> Anonymous Tue Feb 2 15:25:16 2021 No.12658079 ez derail math is suck a safe space for wh*toid "men"
 >> Anonymous Tue Feb 2 15:25:24 2021 No.12658085 >>12658056your post has literally nothing to do with the conversation, retard
 >> Anonymous Tue Feb 2 15:26:41 2021 No.12658113 >>12658079That bait doesn't work in /mg/. Try asking about consecutive coin flips instead, you'll get 100+ autist posts.
 >> Anonymous Tue Feb 2 15:30:12 2021 No.12658176 >>12658113He might be baiting, but it's not really false saying that mathematics is a white man's game. Whites are responsible for what 97% of all maths?
 >> Anonymous Tue Feb 2 15:34:01 2021 No.12658319 >>12658176Only because we were given the opportunity. In the alternate universe where sub-saharan Africa had an industrial revolution and built navies to colonise the world and loot other societies it would be blacks that accomplished 97% of math.
 >> Anonymous Tue Feb 2 15:35:03 2021 No.12658343
 >> Anonymous Tue Feb 2 15:35:53 2021 No.12658368 >>12657966Linear Algebra Done Right by Axler
 >> Anonymous Tue Feb 2 15:37:16 2021 No.12658403 >>12658368Enjoy not learning determinants and fucking up your entire understanding of linear algebra and how it relates to other fields.
 >> Anonymous Tue Feb 2 15:38:15 2021 No.12658422 >>12658403He has determinants at the end of the book so I don’t understand what your point is. Who gives a fuck about other fields anyway?
 >> Anonymous Tue Feb 2 15:39:37 2021 No.12658454 >>12658422>He has determinants at the end of the bookDoesn't matter. You won't understand how to use them in proofs.>Who gives a fuck about other fields anyway?You realize there's no research in Linear Algebra anymore, right? Nowadays it's merely a tool for getting into other more advanced fields and determinants are essential in most of those.
 >> Anonymous Tue Feb 2 15:43:07 2021 No.12658530 >>12658422>laughs in characteristic p
 >> Anonymous Tue Feb 2 15:43:35 2021 No.12658537 >>12658454What's a good book for Linear Algebra then
 >> Anonymous Tue Feb 2 15:47:45 2021 No.12658590 >>12658537Hoffman&Kunze of course. All others are utter trash in comparison.
 >> Anonymous Tue Feb 2 15:51:04 2021 No.12658634 At what level of math can I talk here, Differential? Linear? Calculus?
 >> Anonymous Tue Feb 2 15:52:29 2021 No.12658651 >>12658634I think undergraduates probably feel out of place here since most of the regulars are at a PhD level.
 >> Anonymous Tue Feb 2 15:52:45 2021 No.12658656 File: 38 KB, 600x800, 1611860216810.png [View same] [iqdb] [saucenao] [google] [report] >>12657839>Associating three of the major constants in mathematics in one formula is not a big deal to you?It will really relevant if the formula actually tells something, like E=mc2 bur that "formula" only is another way to write -1. It's is only important for onions mathematicians and shitty normies that only knows maths for youtube "popularizers"
 >> Anonymous Tue Feb 2 15:53:00 2021 No.12658661 >>12657966I would start with a low page count book and work your way up.Therefore, I recommend Modules by Tom Head.
 >> Anonymous Tue Feb 2 15:57:24 2021 No.12658721 >>12657631Sodachi Oikura is an underappreciated girl
 >> Anonymous Tue Feb 2 15:57:41 2021 No.12658727 >>12658656>It will really>bur>only is>It's is>onions mathematicians>for youtubeJesus Christ, learn some english before trying to reply to me, you fucking idiot.
 >> Anonymous Tue Feb 2 15:58:40 2021 No.12658743 File: 160 KB, 1280x719, 5c3a240a.jpg [View same] [iqdb] [saucenao] [google] [report] >>12658422>Who gives a f*ck about other fields anyway?But I like my characteristic greater than 2...
 >> Anonymous Tue Feb 2 16:02:50 2021 No.12658792 i don't get why they add 1 to euler's identity? it could have been fine if the answer was just -1
 >> Anonymous Tue Feb 2 16:03:51 2021 No.12658805 File: 64 KB, 640x472, 1609191601120.jpg [View same] [iqdb] [saucenao] [google] [report] >>12658656>snoyjak poster>shit brainlet opnionclassic. There are a good couple of properties hidden away in the equation that are actually useful to people, such as $\mathcal{FT} \cong C_{4}, \{e^{ix} : x\in\mathbb{R}\} \cong C_{\infty}$
 >> Anonymous Tue Feb 2 16:04:07 2021 No.12658810 >>12658792muh autismo needs to have all 5 constants, that's why
 >> Anonymous Tue Feb 2 16:04:24 2021 No.12658814 >>12658792Because during Euler's time the number 0 didn't exist. It makes more sense for it to be equal to zero.
 >> Anonymous Tue Feb 2 16:07:14 2021 No.12658844 >>126588101 and 0 are not constant
 >> Anonymous Tue Feb 2 16:08:45 2021 No.12658858 >>12658844They're variables right?
 >> Anonymous Tue Feb 2 16:09:00 2021 No.12658861 >>12658805My favorite one is that it's babby's first Lie group / Lie algebra correspondence by [eqn]\mathrm{exp} : G \twoheadrightarrow \mathfrak{g}[/eqn]
 >> Anonymous Tue Feb 2 16:09:58 2021 No.12658869 >>12658651most of the people here are undergradsgood posts are rare
 >> Anonymous Tue Feb 2 16:11:14 2021 No.12658878 >>12658861fuck switched the group and the algebraI'm a brainlet
 >> Anonymous Tue Feb 2 16:11:15 2021 No.12658881 >>12658858no but they aren't like pi or sqrt(2) or e.hey look i made an equation with all 5 constants1+2+3+4+5=16
 >> Anonymous Tue Feb 2 16:12:47 2021 No.12658900 >>12658881Retard... They are constants, they're just not as important as pi, e or i.
 >> Anonymous Tue Feb 2 16:13:37 2021 No.12658906 >>12658878OK second attempt[eqn]\mathrm{exp} : \mathfrak{g} \to G[/eqn]forgive me for having an infinitely differentiable brain, mathanons...
 >> Anonymous Tue Feb 2 16:15:17 2021 No.12658921 >>12658900yeah so why add them? there is no need for the +1
 >> Anonymous Tue Feb 2 16:16:06 2021 No.12658930 >>12658881>>126588440 and 1 are constants just as e or pi you brainlet
 >> Anonymous Tue Feb 2 16:18:20 2021 No.12658948 Are Spec(R) and Specm(R) still defined for a noncommutative ring? Do we have to look at left and right ideals separately, or are they only defined for two-sided ideals?
 >> Anonymous Tue Feb 2 16:21:54 2021 No.12658972 >>12658651>most of the regulars are at a PhD levelahahahaha those are just undergrads trying to sound smart
 >> Anonymous Tue Feb 2 16:26:05 2021 No.12659002 petition to start /pmg/professional mathematicians generalevidence of your published works and most recent paystub are required before you can post
 >> Anonymous Tue Feb 2 16:28:01 2021 No.12659014 >>12659002But that would exclude you and I want to see you beautiful contributions to the thread <3 OwO
 >> Anonymous Tue Feb 2 16:28:36 2021 No.12659019 File: 9 KB, 259x194, 4123123231.jpg [View same] [iqdb] [saucenao] [google] [report]
 >> Anonymous Tue Feb 2 16:28:53 2021 No.12659021 File: 240 KB, 1080x1350, 1599164280682.jpg [View same] [iqdb] [saucenao] [google] [report] There's no meaning to mathematics if I don't have an asian girlfriend.
 >> Anonymous Tue Feb 2 16:30:17 2021 No.12659031 >>126589300 1 are constants but 2 and bigger are not a constant because the value depends in different characteristics
 >> Anonymous Tue Feb 2 16:33:30 2021 No.12659047 >>12659031That's not how math works
 >> Anonymous Tue Feb 2 16:35:19 2021 No.12659056 >>12659047Elementary abstract algebra is a prerequisite for posting in /mg/.>>12659031Bold of you to assume that my ring is unital.
 >> Anonymous Tue Feb 2 16:36:24 2021 No.12659071 >>12658906it's just based af all around.
 >> Anonymous Tue Feb 2 16:36:25 2021 No.12659072 >>12658661Looked this up, did you mean Modules and the Structure of Rings, Golan & Head, 1991 or Modules: A primer of Structure Theorems, Head, 1974?They both seem designed for undergraduates.
 >> Anonymous Tue Feb 2 16:42:26 2021 No.12659103 >>12659072It's the same book, 1991 is the second edition.
 >> Anonymous Tue Feb 2 16:44:55 2021 No.12659118 >>12659021god i want an asian girlfriendor a white girlfriendor a tranny
 >> Anonymous Tue Feb 2 16:45:00 2021 No.12659120 >>12658810>>12658844>>12658858>>12658881>>12658900>>12658930>>12659031>>12659047>>12659056ughhh guys i asked why euler's identity has +1 instead of the answer just being -1
 >> Anonymous Tue Feb 2 16:47:57 2021 No.12659133 >>12659072second one
 >> Anonymous Tue Feb 2 16:49:59 2021 No.12659149 File: 71 KB, 674x674, ;_;.jpg [View same] [iqdb] [saucenao] [google] [report] Every day I try to calculate the number of anime gaysexual transfinitegender posters in these threads and fail... I can't even find an upper bound. Why live?
 >> Anonymous Tue Feb 2 16:54:40 2021 No.12659178 >>12659056They are still constants in those rings retard.If 2 is in the ring, and you take 1 as a constant then 1 + 1 = 2 is a constant.
 >> Anonymous Tue Feb 2 16:58:22 2021 No.12659208 >>12659133After looking into the first one I decided that I indeed mean the older version. It is short which I prefer for a first exposure and second the typesetting in the newer is strange.
 >> Anonymous Tue Feb 2 17:05:22 2021 No.12659265 >>12659178non-unital means no 1, asshat
 >> Anonymous Tue Feb 2 17:06:54 2021 No.12659276 >>12659265Then it's just 0 and there is no notion of bigger you fucking niggerfaggot
 >> Anonymous Tue Feb 2 17:08:18 2021 No.12659283 >>12659276You truly don't understand what a non-unital ring is, anon. You must be an analyst.
 >> Anonymous Tue Feb 2 17:15:25 2021 No.12659326 >>12659283call it a rng then
 >> Anonymous Tue Feb 2 17:19:25 2021 No.12659356 >>12659283Holy fuck you are so god-damn stupid. 2Z2 is a constant.ring implies unital btw You mean rng.
 >> Anonymous Tue Feb 2 17:21:17 2021 No.12659366 File: 28 KB, 499x481, a.jpg [View same] [iqdb] [saucenao] [google] [report] >>12659283>0 and 1>ring>nonunital ring btw gotcha dummy
 >> Anonymous Tue Feb 2 17:22:33 2021 No.12659377 File: 27 KB, 701x621, 4DRepeton.png [View same] [iqdb] [saucenao] [google] [report] >>12657631I searched mg in the catalog and this one didnt rejister in my FoV so I was gonna make an edition on how to visualize 4d. ; (
 >> Anonymous Tue Feb 2 17:23:55 2021 No.12659385 >>12659356>rngSame fucking shit, nigga.
 >> Anonymous Tue Feb 2 17:25:00 2021 No.12659392 >>12659377What's an FoV?
 >> Anonymous Tue Feb 2 17:27:47 2021 No.12659409 Anyway lads. I had an idea on how to prove Zorns lemma without the maximum principle, but idk how to make it rigorous.>start with any element>find upper bound>create simple order>always have a new upper bound if theres no maximal element>contradicts hypothesis of simple orders having upper boundsIs recursive infinite contradiction a valid proof method?
 >> Anonymous Tue Feb 2 17:28:48 2021 No.12659423 >>12659392Field of Vision/View
 >> Anonymous Tue Feb 2 17:35:53 2021 No.12659473 Anyway lads, I had an idea on how to prove Zorn's lemma using Zorn's lemma:>every union of a chain of chains is a chain, proving that every chain of chains has an upper bound>this implies by Zorn's lemma that the set of chains in a poset has maximal elements>an upper bound of any of these maximal chains is a maximal element of the original posetThoughts?
 >> Anonymous Tue Feb 2 17:36:35 2021 No.12659481 >>1265914912659149 is a valid upper bound.
 >> Anonymous Tue Feb 2 17:37:28 2021 No.12659484 >>12659481Aboutt 50 unique posters a thread50 is a valid upper bound49 cause Im not a faggot
 >> Anonymous Tue Feb 2 17:38:38 2021 No.12659495 >>12659356here's a curious fact: 0=2 in Z2 but 0!=2 in Zso clearly they can't both be constants
 >> Anonymous Tue Feb 2 17:39:01 2021 No.12659499 >>12659473I fucking hate set theory. Humans should discover infiinity through experiment, not try to define it themselves. We havent achieved infinity yet, set theory will be washed away in 1000 years
 >> Anonymous Tue Feb 2 17:39:42 2021 No.12659502 >>12659149>multiple anime math trannies exist>i haven't had sex with any of themplease just kill me
 >> Anonymous Tue Feb 2 17:42:25 2021 No.12659512 >>12659495wrong[0]_2 = [2]_2 in Z_2
 >> Anonymous Tue Feb 2 17:43:27 2021 No.12659517 >>12659495and 0! = 1
 >> Anonymous Tue Feb 2 17:43:26 2021 No.12659518 >>12659409Oh I think I got it! Assuming no maximal element, we can say that for each element, it is Not the upper bound of some simple order. If every element is not an upper bound of something, then there is a chain which lacks an upper bound, contradictionTechnically there are multiple chains, but you can ignore those I think
 >> Anonymous Tue Feb 2 17:45:44 2021 No.12659528 >>12659518Its like transfinite induction, not parleying at each stage where each layer contradcts the contradiction, but rather building an infinite god to contradct the other infinite god, a chain all at once
 >> Anonymous Tue Feb 2 17:47:47 2021 No.12659535 Okay lads, so I need advice. I am reading Munkres and I finally finished the Set theory chapter, and am eager to start the topology section. However he left some supplementary exercises at the end, just a page on proving the equivalence of well ordering and axiom of choice. But it seems absurd to me. Is it worth doing, or is set theory truly just insanity?
 >> Anonymous Tue Feb 2 17:47:54 2021 No.12659537 >>12658651>>12658972just look at this faggot >>12659031 >>12659056 >>12659265 >>12659283 right here, typical example of larping freshman
 >> Anonymous Tue Feb 2 17:49:36 2021 No.12659542 >>12659535If it's not worth doing it wouldn't be in the book anon
 >> Anonymous Tue Feb 2 18:37:22 2021 No.12659779 >>12659542I dont know if thats true. That implies that the book is inherently and completely worthy, but many books have been written about unworthy topics. I believe set theory as a whole is an unworthy topic, and not due to mg memes but my own experiences with void and infinite obsessions. I think nature will reveal infinity through physics someday, and humans are rushing to understand it without enough experience.
 >> Anonymous Tue Feb 2 18:38:24 2021 No.12659789 That said, I guess Ill give it a shot anyway just to stew on the datums.
 >> Anonymous Tue Feb 2 18:39:26 2021 No.12659794 Also guys I made 1200 bucks just now from swinging ethereums. Sold at 1530, bought a few days ago at 1350. Might buy back at 1400? 1430?
 >> Anonymous Tue Feb 2 18:45:57 2021 No.12659822 >>12659499Smoke dmt if you want to "experience infinity". Or go shopping with a woman, you will learn that infinity can be experienced.
 >> Anonymous Tue Feb 2 18:51:23 2021 No.12659847 When did animeposting become acceptable in /mg/? I haven't been here in years.https://i.4cdn.org/gif/1611966761919.webm
 >> Anonymous Tue Feb 2 18:54:49 2021 No.12659862 >>12659512i want to fuck it
 >> Anonymous Tue Feb 2 19:10:28 2021 No.12659926 >>12659779We speak english in /mg/
 >> Anonymous Tue Feb 2 19:12:03 2021 No.12659933 >>12659926Auch deutsche>>12659822Ja ich erinnern von mein Junger tag mit mein mutter
 >> Anonymous Tue Feb 2 19:16:03 2021 No.12659948 File: 65 KB, 1068x601, 1612280168359.jpg [View same] [iqdb] [saucenao] [google] [report] >>12658727>learn some englishThanks for the feedback>you fucking idiotmaybe, but you are even more idiot by thinking that e^i*pi+1=0 has any value
 >> Anonymous Tue Feb 2 19:17:39 2021 No.12659956 >>12659948>basedjak posting>chad meme postingWhat is it like being completely unoriginal? Seriously just go back to funnyjunk.
 >> Anonymous Tue Feb 2 19:27:16 2021 No.12660004 >>126598472018.
 >> Anonymous Tue Feb 2 19:28:47 2021 No.12660013 >>12659779>through physicsWhich physics? There's an uncountable number of them.
 >> Anonymous Tue Feb 2 19:36:25 2021 No.12660058 >>12660004What happened in 2018?
 >> Anonymous Tue Feb 2 19:41:52 2021 No.12660093 >>12658743vendace
 >> Anonymous Tue Feb 2 19:44:01 2021 No.12660103 >>12659535>or is set theory truly just insanityBut that is what makes it fun. How else are you going to square circles and play with infinitely infinite ordinals and cardinals?
 >> Anonymous Tue Feb 2 19:55:34 2021 No.12660140 File: 172 KB, 850x1231, __original_drawn_by_12_graka__sample-03680a26110472317c634e3189f43c0d.jpg [View same] [iqdb] [saucenao] [google] [report] >>12660004Most anime posters started posting around that time, me included. That's all.
 >> Anonymous Tue Feb 2 19:58:43 2021 No.12660147 File: 1.73 MB, 3900x1800, 1612238707552.jpg [View same] [iqdb] [saucenao] [google] [report]
 >> Anonymous Tue Feb 2 20:12:59 2021 No.12660193 >>12657937I bet you think integers are a social construct
 >> Anonymous Tue Feb 2 20:14:01 2021 No.12660198 >>12657966just get a statics textbook.it's basically the same thing
 >> Anonymous Tue Feb 2 20:15:59 2021 No.12660204 >>12658319fascinating theory.that didn't happen though so your point is retarded.white people did it. period.
 >> Anonymous Tue Feb 2 20:17:12 2021 No.12660209 File: 36 KB, 500x500, smug.jpg [View same] [iqdb] [saucenao] [google] [report] >>12659956>totally ad hominemYeah maybe I'm unoriginal, but still is a fact that "the most beautiful ""equitation""" is only a retard way to write -1
 >> Anonymous Tue Feb 2 20:18:53 2021 No.12660219 >>12660193But integers are a social construct. All of maths is. You think math exists physically in the world?
 >> Anonymous Tue Feb 2 20:18:56 2021 No.12660220 >>12658814do you seriously think we didn't have the number 0 during the 1700s?
 >> Anonymous Tue Feb 2 20:21:50 2021 No.12660229 >>12659002go to reddit if you want efame
 >> Anonymous Tue Feb 2 20:22:57 2021 No.12660232 >>12660229You see, that's my secret, anon... I'm already on Reddit.
 >> Anonymous Tue Feb 2 20:28:47 2021 No.12660256 >>126602324chan is just a meta site for reddit commentary at this point.why even live anymore?
 >> Anonymous Tue Feb 2 20:32:21 2021 No.12660270 File: 424 KB, 1024x1024, 1608503087773.jpg [View same] [iqdb] [saucenao] [google] [report] >>12660256>why even live anymore?To solve all of mathematics.To discover all the truths in the universe with physics.To find a japanese girlfriend.
 >> Anonymous Tue Feb 2 21:45:06 2021 No.12660495 >>12658906I got ur joke and made me chuckle so you're forgiven
 >> Anonymous Tue Feb 2 21:46:30 2021 No.12660500 >>12660140DIS GUS TANG!newfags are bad enough but avatarfags get the rope desu
 >> Anonymous Wed Feb 3 01:27:41 2021 No.12661081 File: 24 KB, 640x638, FEC75BEC-213A-4E11-9E56-629540AAEED2.jpg [View same] [iqdb] [saucenao] [google] [report] >>12660256Noticed this happening over the last year or two. Pretty sad but I guess the wheel always turns and no one can remain on top for long. 4chan had its era. Now is the age of (forgive me lord for uttering this word), the age of the r*dditor.
 >> Anonymous Wed Feb 3 02:05:04 2021 No.12661185 man, mathematicians are cringe
 >> Anonymous Wed Feb 3 02:10:20 2021 No.12661194 >>12661081>the age of the r*dditor.and peadophiles, ie anime posters
 >> Anonymous Wed Feb 3 02:12:39 2021 No.12661200 >>12658948>noncommutative ringhttps://www.cs.ox.ac.uk/files/7352/SpectrumProblem-Oxford.pdfThe spectrum problem for noncommutative rings and algebrasManuel L. ReyesBowdoin College, Department of MathematicsOASIS - May 22, 2015
 >> Anonymous Wed Feb 3 02:48:58 2021 No.12661287
 >> Anonymous Wed Feb 3 06:36:31 2021 No.12661737 >>12661185Read a book like How to prove it, then you'll see that you're wrong and grovel for forgiveness.
 >> Anonymous Wed Feb 3 07:36:02 2021 No.12661839 >>12661737Why that book?
 >> Anonymous Wed Feb 3 07:42:26 2021 No.12661855 >>12657631The level of intelligence that can be inferred from a person who seriously asks /sci/ to engage with actual mathematical questions is generally considered inferior to the level of intelligence that is required in order to avoid handing over a fully loaded AK-47 rifle to a chaimpanzee.
 >> Anonymous Wed Feb 3 08:28:39 2021 No.12661958 File: 151 KB, 432x539, ThisKnot.png [View same] [iqdb] [saucenao] [google] [report] >>12660013What did he mean by this>>12660103>square circlesWith integrals>infinitely infiniteBut do we even know what infinity means yet?
 >> Anonymous Wed Feb 3 08:37:30 2021 No.12661974 >>12657839>Associating three of the major constants in mathematics in one formula is not a big deal to you?(e*pi)^(0) = 1There I just did the same thing. Where's my field medal?
 >> Anonymous Wed Feb 3 08:44:37 2021 No.12661999 >>12657812When I first saw e to the i pi, I was obsessed and confused. When I first comprehended it, it seemed like gravity and orbits, locked into place by the first Natural twist in space time (analytic continuation)
 >> Anonymous Wed Feb 3 08:49:39 2021 No.12662009 >>12661958> But do we even know what infinity means yet?We know that in mathematics infinity does not mean anything, in the same way that x does not mean anything unless you explain what you take it to mean in a given context. Traditionally the infinity symbol is used in mathematics as the name of an element that is added "extra" to an existing structure, such as a real or complex field or a finite elliptic group, etc.
 >> Anonymous Wed Feb 3 08:52:57 2021 No.12662012 >>12662009As far as I can tell the rigorous definitions of countable and uncountable sets still hold the crux intuition of it goes on forever, its not true rigor but fundamentally intuitive. Countable I think we understand decently, regardless, but uncountable I think we need quantum mechanics to understand the axiom of choice better.
 >> Anonymous Wed Feb 3 09:15:06 2021 No.12662066 >thread derailed by a single postwew
 >> Anonymous Wed Feb 3 09:32:09 2021 No.12662113 >>12662066ara so, you realize you're derailing it even more by complaining instead of staying on topic, right?
 >> Anonymous Wed Feb 3 09:56:37 2021 No.12662167 >>12661958>What did he mean by thisYou're not actually one of those idiots who searches for answers to mathematical (metaphysical) questions in the physics of this particular universe, are you?
 >> Anonymous Wed Feb 3 09:59:04 2021 No.12662171 File: 26 KB, 429x113, 2021-02-03 14_58_26.png [View same] [iqdb] [saucenao] [google] [report]
 >> Anonymous Wed Feb 3 10:00:56 2021 No.12662178 >>12660147The first sentence is grammatically incorrect.
 >> Anonymous Wed Feb 3 10:04:13 2021 No.12662187 >>12662171Is that good?
 >> Anonymous Wed Feb 3 10:06:16 2021 No.12662194 >>12659495There is no way 0! is 2 read Bourbaki and how the figure 0! = 1
 >> Anonymous Wed Feb 3 10:07:09 2021 No.12662195 >>12662187It's shit but it has Astolfo.
 >> Anonymous Wed Feb 3 10:10:23 2021 No.12662204 >>12662167A geometer living 4000 years ago knows more math than you ever will. COPE
 >> Anonymous Wed Feb 3 10:43:00 2021 No.12662299 >>12662204wanking over "infinities" and "meaning of infinity" is not math
 >> Anonymous Wed Feb 3 10:54:37 2021 No.12662331 Why isnt anyone laughing at my OC meme its so funny I made the knot myself>>12662167I am indeed one of those idiots
 >> Anonymous Wed Feb 3 10:57:58 2021 No.12662339 File: 190 KB, 428x537, KnotNot.png [View same] [iqdb] [saucenao] [google] [report] I think this version is better , its interesting to contrast slight pixel deformations and witness memetic singularities. A little dotted line square literally hacks your brain.
 >> Anonymous Wed Feb 3 11:10:41 2021 No.12662375 >>12662331>I am indeed one of those idiotsNice of you to admit to your idiocy, that way I can completely ignore all the mumbo jumbo that comes out of your mouth.
 >> Anonymous Wed Feb 3 11:27:07 2021 No.12662409 >>12658656I owe my undying interest in mathematics to Numberphile. Science popularizers are unironically the only hope left for public school educated Westerners.
 >> Anonymous Wed Feb 3 11:30:09 2021 No.12662416 >>12658906Hey, don't beat yourself up anon, you have an analytic mind (if your brain is complex)
 >> Anonymous Wed Feb 3 11:57:43 2021 No.12662497 I learned Analysis from Baby Rudin but I had no background in Calculus. Should I still go through a Calculus book?
 >> Anonymous Wed Feb 3 11:57:50 2021 No.12662498 >>12662204Nothing against geometry. Physishits trying to determine truth via their pitiful little theories, that's what I hate.
 >> Anonymous Wed Feb 3 12:04:29 2021 No.12662525 >>12662375Finally I wont have to deal with this chinks annoying replies anymore
 >> Anonymous Wed Feb 3 12:06:02 2021 No.12662532 >>12662498The integers literally came from physics. Bakameno! Ever heard of counting rocks? Grug smash!
 >> Anonymous Wed Feb 3 12:06:35 2021 No.12662533 >>12662532The integers came from accounting.
 >> Anonymous Wed Feb 3 12:07:14 2021 No.12662536 >>12662533You can only account material , which is physics.
 >> Anonymous Wed Feb 3 12:08:24 2021 No.12662540 >>12662533I am pretty sure birds recognize integers in their songs as well. If I whistle N times they whistle back N times, and if I change it to M they do too
 >> Anonymous Wed Feb 3 12:09:30 2021 No.12662547 >>12662540That's a natural number. Integers are relevant when you need to start considering debt and sheit.
 >> Anonymous Wed Feb 3 12:09:54 2021 No.12662548 >>12662540Ok, whistle –3 times
 >> Anonymous Wed Feb 3 12:14:29 2021 No.12662570 >>12662547Sure but thats just the memory of physics, remembered objects. Also sealevel and underwater>>12662548Do the form of whistling where you suck air in instead of blow outNegatives are just a reversible index
 >> Anonymous Wed Feb 3 12:14:35 2021 No.12662573   >>12662532$\text{physics }\ne \text{ nowaday physicists}$
 >> Anonymous Wed Feb 3 12:16:47 2021 No.12662580 >>12662532physics ≠ nowadays physicists
 >> Anonymous Wed Feb 3 12:41:12 2021 No.12662675 i havan't dont any maths today
 >> Anonymous Wed Feb 3 12:46:11 2021 No.12662699 >>12657966I used Friedberg's book, I thought it was really nice
 >> Anonymous Wed Feb 3 12:47:29 2021 No.12662706 >>12657966Wildberger's linear algebra course and linear algebra notes by Terrence Tao
 >> Anonymous Wed Feb 3 12:54:29 2021 No.12662742 Does anyone here experience impostor syndrome when it comes to math? In my linear algebra course, I was doing very well in my assignments and when I wrote the first test, I blanked out. I have no idea if I did well because my proofs were probably shit. Now, I'm starting to doubt myself. I was only able to take this course because I had the pre-requisites. How can I gain confidence in myself?
 >> Anonymous Wed Feb 3 13:11:45 2021 No.12662815 >>12662742>I was only able to take this course because I had the pre-requisitesThats, uh, not uncommon
 >> Anonymous Wed Feb 3 13:13:44 2021 No.12662823 >>12657812God I genuinely despise those onions faggots who go ape shit about famous (((equations))) even though they have no fucking clue what they mean
 >> Anonymous Wed Feb 3 13:15:05 2021 No.12662827 >>12662742I'm in a stochastic PDE course while getting my masters in EEI have no clue what's going on and I spend hours on proof before googling the answerIts lit senpai
 >> Anonymous Wed Feb 3 13:20:15 2021 No.12662845 >>12662815>>12662827I really like linear algebra and learning more about it with proofs really expands my understanding. I just don't know if I'll do well in this course...
 >> Anonymous Wed Feb 3 13:21:02 2021 No.12662850 >>12662409> Science popularizers are unironically the only hope left for public school educated WesternersHAHAHAHHAHAHHAHAwe're fucking donewe are done
 >> Anonymous Wed Feb 3 13:28:39 2021 No.12662867 >>12661081I think it's more twitter and tiktok really
 >> Anonymous Wed Feb 3 13:29:13 2021 No.12662871 >>12662742If you were doing well in your assignments, then it's quite possible you didn't do as well in your test because you got too nervous/worried. If so, you just need to treat as another problem to solve, stay calm, focused and optimise your speed during a test.
 >> Anonymous Wed Feb 3 13:33:05 2021 No.12662880 I’d like recommendations for getting into machine learning, for someone who’s taken all the usual first year courses, topology, measure theory, analysis, etc. Reading Durrett’s probability rn because I know fuck all about it.
 >> Anonymous Wed Feb 3 13:33:45 2021 No.12662883 >>12662871Thank you, anon. This is my first proof-based course and it being online makes it harder. I doubt it's any better if it was in-person but regardless of that, I'll try my best to calm down and get used to it.
 >> Anonymous Wed Feb 3 13:59:26 2021 No.12662953 File: 31 KB, 153x232, 9780387902449.jpg [View same] [iqdb] [saucenao] [google] [report] Is Eisenbud and Matsumura enough for this? (Granted I don't think I'm going to finish all of Eisenbud)
 >> Anonymous Wed Feb 3 14:03:05 2021 No.12662962 If I'm asked for $P_2 (x)$ i.e., the second Taylor polynomial approximting a function, and the second derivative gives me a zero term, should I go a step further so I have the usual number of terms in a $P_2 (x)$ polynomial?Right, because normally you get [eqn]P_2 (x) = a_0 + a_1 x + a_2 x^2[/eqn] but if $a_2 = 0$ then does $P_2 (x)$ become $a_0 + a_1 x + a_3 x^3$ like in the Taylor series of $sin(x)$?
 >> Anonymous Wed Feb 3 14:04:47 2021 No.12662966 >>12662867Which is crazy because Twitter is almost as old as 4chan at this point.
 >> Anonymous Wed Feb 3 14:05:23 2021 No.12662968 >>12662953Eisenbud, sure. Don't know about that other one.
 >> Anonymous Wed Feb 3 14:07:47 2021 No.12662976 >>12662962If you don't know the answer, then you don't exactly know the definition of the sequence of taylor polynomial approximations.
 >> Anonymous Wed Feb 3 14:20:09 2021 No.12663014 >>12662976ahhhhhhh then tell me pleaseI can't find a formal definition ANYWHERE
 >> Anonymous Wed Feb 3 14:21:41 2021 No.12663025 >>12662962Nah. $P_n$ has just the terms of degree up to and including n.
 >> Anonymous Wed Feb 3 14:36:06 2021 No.12663077 are there any collections of math book reviews like choice reviews, but free?https://www.google.com/books/edition/Choice/c-48AQAAIAAJ?hl=en&gbpv=1&dq=choice+magazine+mathematics&pg=PA488&printsec=frontcover
 >> Anonymous Wed Feb 3 14:38:31 2021 No.12663087 >>12663077LMAO can't believe that's actually a thing.
 >> Anonymous Wed Feb 3 14:41:26 2021 No.12663102 >>12663077to add I know that journals have review sections and that my example only shows a few reviews as well, so just to make it clear I'm looking for the largest possible collection of reviews. I guess i'll try my luck with zbmath.
 >> Anonymous Wed Feb 3 14:41:49 2021 No.12663106 >>12660270>posts russian characterplease reiterate
 >> Multimorph Wed Feb 3 14:43:36 2021 No.12663114 Guys Im hacking my windows kernel7.5 fuckin gigs for a driverAm I allowed to use a namefag here? I deceided Im gonna become lain-like so I should have a brand, Im using it on other boards too
 >> Anonymous Wed Feb 3 14:44:11 2021 No.12663116 File: 31 KB, 487x89, BlownTheFuckOut.png [View same] [iqdb] [saucenao] [google] [report] >>12663077KEK
 >> Anonymous Wed Feb 3 14:47:24 2021 No.12663134 >>12663116>non-commutative vector fieldGoogle shows nothing, is the definition just "a derivation on a C*-algebra" or is it different?
 >> Anonymous Wed Feb 3 14:48:26 2021 No.12663140 >>12663134Oh, it's noncommuting, not noncommutative.Disregard my previous post, I remember what that means.
 >> Anonymous Wed Feb 3 14:48:36 2021 No.12663141 >>12663134non commuting vector fields
 >> Anonymous Wed Feb 3 14:52:49 2021 No.12663154 >>12663077zbmath isn't really a collection, but you can search for a topic you want and only show books with scanned reviews but that's just a fraction of reviewed.
 >> Anonymous Wed Feb 3 14:54:16 2021 No.12663161 >>12663154Ya but I want to just have a bunch of reviews and read them all and then decide what subject/book looks cool.
 >> Multimorph Wed Feb 3 15:18:04 2021 No.12663250 Is machine code an arithmetization?
 >> Multimorph Wed Feb 3 15:23:09 2021 No.12663261 Prime factorization provide coordinate storage within one dimension
 >> Anonymous Wed Feb 3 15:37:08 2021 No.12663299 >>12660256>>12661081all zoomers are redditors, they turn every site into the same shitty discourse and memes
 >> Anonymous Wed Feb 3 15:42:47 2021 No.12663323 File: 268 KB, 502x401, dick_move.png [View same] [iqdb] [saucenao] [google] [report] Discussing the Bitcoin/Ethereum elliptic curve spechttps://youtu.be/RZzB-vPFYmo
 >> Anonymous Wed Feb 3 15:59:11 2021 No.12663371 Will the behavior of dynamical maps remain impenetrable forever or can some general theory exist?
 >> Anonymous Wed Feb 3 16:32:48 2021 No.12663462 >>12663371Will the behavior of functions remain impenetrable forever or can some general theory exist?
 >> Multimorph Wed Feb 3 16:47:23 2021 No.12663496 >>12663462You can define a random function as the outputs of a QRNG over natural time steps and that will be impenetrable
 >> Multimorph Wed Feb 3 16:48:26 2021 No.12663503 >>12663496In the limiting/unioning of all times case
 >> Anonymous Wed Feb 3 16:56:34 2021 No.12663531 >>12663154Half this shit is in german ahhhhhh
 >> Anonymous Wed Feb 3 17:50:15 2021 No.12663730 Can one use logical operators in or around mathematical expressions? E.g.$y = x^2 \Leftrightarrow ( x = \sqrt y \vee x = -\sqrt y ) \Leftrightarrow x = (\sqrt y \vee -\sqrt y) \Leftrightarrow x =\pm\sqrt y$
 >> Anonymous Wed Feb 3 18:13:24 2021 No.12663811 >>12663730the third statement sets x equal to a truth value
 >> Anonymous Wed Feb 3 18:24:11 2021 No.12663839 >>12663730No, root(y) is a term, you cannot use terms in non-atomic formulas. Also that looks a like shit, just use English.
 >> Anonymous Wed Feb 3 18:57:37 2021 No.12663969 File: 48 KB, 1678x589, 4chan.jpg [View same] [iqdb] [saucenao] [google] [report] You have a square grid (nxn). You must fill the maximum number of cells inside this grid without forming a rectangle. Question is in a grid(nxn) how many cells can you fill without forming a rectangle?
 >> Anonymous Wed Feb 3 19:00:03 2021 No.12663977 >>12663730That is technically readable, but no sane person would write it like that. Just write "the following are equivalent."Also, statement #3 doesn't say what you think it's saying. If the disjunction symbol (wedge?) is defined for numbers, I don't know what it means.You could write $x \in \{ \sqrt{y}, -\sqrt{y} \}$, but I think your second statement might be the way the $\pm$ operator is defined anyway.
 >> Anonymous Wed Feb 3 19:14:04 2021 No.12664020 >>12657839Big whoop I can do that too. Here's a formula with 4 constants e^0 - 1 = i * 0
 >> Anonymous Wed Feb 3 19:22:25 2021 No.12664049
 >> Anonymous Wed Feb 3 19:22:35 2021 No.12664051 >>12663969Use Cauchy-Schwarz
 >> Anonymous Wed Feb 3 19:26:23 2021 No.12664067 >>12664051Cauchy–Bunyakovsky–Schwarz*
 >> Anonymous Wed Feb 3 19:56:45 2021 No.12664181 >>12663969>forming a rectangleGarbage way of writing what you're trying to say. Anyway, this is a graph theory problem in disguise.Say your grid is $[n] \times [n]$. Say that your set of filled squares is $A = (A_1, A_2, \ldots, A_n)$, where $A_i$ is the set of column indices filled in row i. So your first example is ({1,2,3}, {1}, {1}) and your second is ({1,2}, {1}, {1,2}). So far, so good?So now consider $K_n$. Each set $A_i$ is a set of vertices of $K_n$. Let $C_i$ be the clique induced by $A_i$. Then $A$ is "good" if and only if the cliques $C_i$ are disjoint.So we can rephrase the question as follows: If an $n$-vertex graph (or maybe just $K_n$) is decomposed into $n$ cliques $C_1,\ldots,C_n$, what is the maximum possible sum $\sum_i |C_i|$?I don't even know if graph theory will be useful here, but I just think that observation is neato.Anyway, I think you'll get the best result by putting a roughly equal number of vertices (filled cells) in each clique (row). This is because one large clique will make disproportionately many edges available for the other cliques to use. For example, in a 5x5, there are ten edges to work with. We can give them all to one row of five and four rows of one, or to one row of four (six edges) and four rows of two (one edge each,) or to two rows of three (three edges each) and three rows of two (one edge each.) The second and third options each get us 12 filled cells, while the first one only gets us 9.If someone else wants to continue with this idea, go ahead.
 >> Anonymous Wed Feb 3 20:10:30 2021 No.12664237 >>12662880http://www.cs.columbia.edu/~verma/classes/ml/lec/lec9_graphical_models_markov_hmm.pdflook here for resources and recommended textbooks. you don't need Durrett for this level but it's probably still worthwhile to master it if you want to get into more advanced ML theory.>>12662883Do more practice problems from the textbook. Exams are all about being able to prove the trivial things quickly. Problem sets usually aren't great practice for this.
 >> Anonymous Wed Feb 3 20:18:34 2021 No.12664272
 >> Anonymous Wed Feb 3 20:24:55 2021 No.12664301 >>12664181Master, please teach me how to look at such a badly worded problem and clearly see how the question should have been formulated.How did you do that, that question was totally garbage?
 >> Anonymous Wed Feb 3 20:37:05 2021 No.12664349 >>12664301Well, first, I thought "lol a 1x1 rectangle is still a rectangle," but that's not an interesting problem. It's still not interesting if you allow two adjacent cells to be considered a rectangle. So, does the rectangle have to be at least 2x2? No, because the figure on the right is bad, but doesn't have a 2x2.I looked at the dotted-line rectangle on the right, and tried to see how it related to the filled cells. It can't be some kind of smallest bounding box, since he didn't draw anything on the left. But it could be that the four corners of the rectangle have to be filled cells. Sure enough, the figure on the left doesn't allow for anything like that (except degenerate cases, I guess.) I thought about that, decided that it seemed like an interesting enough problem, and concluded that that's what he meant.Could've easily been wrong. It's always a gamble to assume that anon has more than three brain cells.
 >> Anonymous Wed Feb 3 20:43:02 2021 No.12664380 >>12663811>>12663839>>12663977I have used set belonging notation also. Trying to settle on a style. Thanks for the input.
 >> Anonymous Wed Feb 3 20:43:43 2021 No.12664384 >>12664349Alright, I see how you managed to work out what that guy said, but how did you quickly come up with that solution by seeing how it relates to graph theory?Is that something that happens when you know a broad amount of math topics? Sorry for the questions by the way, I am just genuinely envious, I would like to be like you.
 >> Anonymous Wed Feb 3 20:52:55 2021 No.12664416 >>12664384>how did you quickly come up with that solution by seeing how it relates to graph theory?>quicklyahahahahahint #1: there's an hour-long gap between his post and minehint #2: I can use the backspace button after writing something that doesn't work out>Is that something that happens when you know a broad amount of math topics?Kinda. I do a lot of graph theory (relatively,) so it's not that surprising.>Sorry for the questions by the way,Apology not accepted. Nothing to be sorry for. You don't ask, you don't learn.Also, in case anyone's wondering, we're talking about the problem more over in >>12664008.
 >> Anonymous Thu Feb 4 00:40:25 2021 No.12664960 File: 141 KB, 441x441, 1612417119438.png [View same] [iqdb] [saucenao] [google] [report] Maths is a scam
 >> Anonymous Thu Feb 4 00:46:13 2021 No.12664977 File: 64 KB, 1024x1016, 7f19f8001175565f72f3d16d19020afe55687a7e_hq.jpg [View same] [iqdb] [saucenao] [google] [report] I would like to become a researcher but it sucks compared to working with finance :(My knee hurts.
 >> Anonymous Thu Feb 4 01:51:43 2021 No.12665185 >>12663730>Can one use logical operators in or around mathematical expressions? E.g.yeah i did for my thesis. it looks better
 >> Anonymous Thu Feb 4 05:22:33 2021 No.12665694 File: 18 KB, 259x259, 1 (214).jpg [View same] [iqdb] [saucenao] [google] [report] >>12663969An idea: define a bipartite graph: the vertices are 1, 2, ...n and 1', 2', ... n', and you put an edge (i, j') in your graph iff the square (i, j) is filled.Then, a rectangle in the picture <=> a 4-length cycle in this graph.This turns out to be googleablehttps://math.stackexchange.com/questions/1713140/maximize-the-number-of-edges-in-a-bipartite-graph-with-no-4-cyclesthe correct asymptotics is apparently O(n^3/2)
 >> Anonymous Thu Feb 4 05:55:18 2021 No.12665744 >>12664960This. You realize all your problems are made up even "applied mathematics" has no relation to the real world.
 >> Anonymous Thu Feb 4 06:09:37 2021 No.12665778 virgin mathematician: thinks they will "discover truth" or do real-world useful stuff, inevitably gets disappointedchad olympiad problem solver: knows it's all just a competition
 >> Anonymous Thu Feb 4 06:43:25 2021 No.12665837 File: 24 KB, 640x360, 6fc359ba42755c1f9afabdef810a970f.jpg [View same] [iqdb] [saucenao] [google] [report] >>12664977I feel you fellow based gabuposter. Also currently in finance. The hours suck but pay is great compared to research. Not sure if I will stick to it though.
 >> Anonymous Thu Feb 4 08:15:33 2021 No.12666022 How do you solve this:It is 210 km from X to Y by road. Peter took a total of 5 hours to travel from X to Y and back, with the average speed of his car being 20% higher on the way back. Find the average speed of Peter's car while driving from X to Y.
 >> Anonymous Thu Feb 4 08:34:05 2021 No.12666077 >>12666022$V_{avg} = \frac{210km + 210km}{5hr} = \frac{V_{X \rightarrow Y} + V_{Y \rightarrow X}}{2} = \frac{V_{X \rightarrow Y} + 1.2V_{X \rightarrow Y}}{2}$simply rearrange to isolate $V_{X \rightarrow Y}$
 >> Anonymous Thu Feb 4 09:18:25 2021 No.12666197 We are all enemies here. The world of mathematics is a competition and the only rule is that it's every man for himself. You're all just rocks in my path.
 >> Anonymous Thu Feb 4 09:20:35 2021 No.12666202 >>12666197We are all frens here. The world of mathematics is vast and we can all explore it together. You're all wonderful frens.
 >> Anonymous Thu Feb 4 09:48:41 2021 No.12666242 >>12666197>>12666202both are right
 >> Anonymous Thu Feb 4 10:03:10 2021 No.12666270 >>12665837I can't even find a finance job that pays as low as PhD gibs. Uni professor pays well but in the time it will take me to get there I will be making more in finance.Sad that we live in a society.
 >> Anonymous Thu Feb 4 10:04:47 2021 No.12666274 >>12665837How do I get into finance as a senior math undergrad?
 >> Anonymous Thu Feb 4 11:04:38 2021 No.12666442 Anyone here successfully did math on psychedelics (any dose)? I feel like it's a junkie meme/cope from by exp, but I haven't tried doing math on them, nor will be able to anytime soon.
 >> Anonymous Thu Feb 4 11:12:56 2021 No.12666466 >>12666442Doesn't work. It makes you too dumb for that. But you can get surprising insights on stuff you have been working on for a long time and already know subconsciously.
 >> Anonymous Thu Feb 4 11:16:34 2021 No.12666484 >>12662742Read>>12658661 1st edition for a good understanding of linear algebra
 >> Anonymous Thu Feb 4 11:22:28 2021 No.12666503 >>12657880Why is calling i a constant wierd? Most textbooks I've read define it as (0,1) in R^2
 >> Anonymous Thu Feb 4 11:23:52 2021 No.12666510 >>12666503>American textbooks
 >> Anonymous Thu Feb 4 11:29:30 2021 No.12666532 >>12666510No german and russianJörg Liesen and Volker Mehrmann Linear Algebraand Shilov Elementary and real complex analysis.Ironically when I checked Lang he didn't explicitly use that definition (though it amounts to the same thing)
 >> Anonymous Thu Feb 4 11:31:37 2021 No.12666540 >>12666532Infact in liesen C is defined as R^2
 >> Anonymous Thu Feb 4 11:33:04 2021 No.12666547 >>12666540>Infact in liesen C is defined as R^2Who cares about implementation details? Any algebraic closure of ((($\mathbb{R}$))) will do.
 >> Multimorph Thu Feb 4 11:38:43 2021 No.12666560 Ngl, ive been feeling a big attraction to tranny scat porn recently, anyone relate?- Multimorph
 >> Anonymous Thu Feb 4 11:41:51 2021 No.12666569 >>12664977>My knee hurts.Mine does too. How did you fuck up yours
 >> Anonymous Thu Feb 4 11:59:59 2021 No.12666619 >>12657631Does anyone else get the monogatari reference on op's pic? If you do, you are based.
 >> Anonymous Thu Feb 4 12:36:15 2021 No.12666715 >>12666547The point is that the only difference between the group R^2 and the algebraic field R^2 is a multiplication operation.
 >> Anonymous Thu Feb 4 12:58:56 2021 No.12666769 >>12666442It's possible. I'm not sure how helpful it is but it can be done.
 >> Anonymous Thu Feb 4 13:18:25 2021 No.12666829 Lang or D&F for algebra?
 >> Anonymous Thu Feb 4 13:36:46 2021 No.12666893 >>12666829Let’s just say, I have a Foote fetish...
 >> Anonymous Thu Feb 4 13:37:13 2021 No.12666895 File: 140 KB, 850x1109, __makise_kurisu_steins_gate_drawn_by_cheshikk__sample-aaf24647f99ac6d4c65e809c2be27191.jpg [View same] [iqdb] [saucenao] [google] [report] >you'll never build a time machine accidentaly while chilling with your friends in your lab>you'll never find a genius japanese gfwhy even live? why even do maths?
 >> Anonymous Thu Feb 4 13:39:10 2021 No.12666899 File: 352 KB, 480x486, mochi.png [View same] [iqdb] [saucenao] [google] [report] >>12666895>>you'll never find a genius japanese gfshe's out there, don't lose hope anon
 >> Anonymous Thu Feb 4 13:39:38 2021 No.12666902 >>12666895life is only pain
 >> Anonymous Thu Feb 4 13:52:36 2021 No.12666944 >>12666829Dummit and Foote unless you like Lang then use Lang. I think they are both very comprehensive maybe Lang a little more so.
 >> Anonymous Thu Feb 4 13:53:11 2021 No.12666946 >>12666944Lang is graduate level dude...
 >> Anonymous Thu Feb 4 13:57:07 2021 No.12666967 >>12666946They are both graduate level it's just Lang is graduate level for people who already know graduate level algebra.
 >> Anonymous Thu Feb 4 14:01:12 2021 No.12666984 >>12666946I've unironically learned more from "graduate level" books than undergrad books. They just make more sense to me; I'm not sure if it's because they try to "hold your hand" or something in easier books but they don't work as well for me. I don't even see why have the distinction really unless the book is really written purley as a reference.
 >> Anonymous Thu Feb 4 14:01:29 2021 No.12666985 The whole question on which algebra book to use is idiotic. There are hundreds of good algebra texts. Just read the one that you feel like you can make the most progress in and when the book starts to lose you jump to another book. This way you will have already seen all the basics so more advanced books seems approachable now. Rinse and repeat untill death.
 >> Anonymous Thu Feb 4 14:06:02 2021 No.12666997 >>12657966Linear Algebra and its Applications by David Lay, 5th ed is pretty good. The pdf is easily findable online just google it.
 >> Anonymous Thu Feb 4 14:06:07 2021 No.12666998 >>12666967Dummit and Foote is undergrad man...
 >> Anonymous Thu Feb 4 14:06:54 2021 No.12667002 >>12666984Graduate books are obviously better if you know the basic mechanics, if you don't it is not. For example: almost all computational math procedures.
 >> Anonymous Thu Feb 4 14:07:09 2021 No.12667003 >>12666985>The whole question on which algebra book to use is idiotic.Yeah, everyone should just use the golden standard Aluffi already. All others are trash in comparison.
 >> Anonymous Thu Feb 4 14:12:12 2021 No.12667024 >>12666998Yes. A small percentage of undergraduate programs skim around 7 chapters of D&F.Usually honors classes.Still the most common graduate book in algebra.
 >> Anonymous Thu Feb 4 14:21:23 2021 No.12667063 >>12667024If Dummit and Foote is not an undergraduate book, then what is an undergraduate abstract algebra book?
 >> Anonymous Thu Feb 4 14:24:20 2021 No.12667074 >>12667063Try google
 >> Anonymous Thu Feb 4 14:27:41 2021 No.12667092 >>12667074lmao bet you didn't even open a page of dummit and foote before.
 >> Anonymous Thu Feb 4 14:31:06 2021 No.12667115 >>12667092You realize most undergrad algebra books are 300-500 pages and don't even contain the word module?
 >> Anonymous Thu Feb 4 14:34:43 2021 No.12667127 >>12667063My uni uses Artin’s Algebra.
 >> Anonymous Thu Feb 4 14:36:23 2021 No.12667132 >>12663261Huh, never thought about it like that
 >> Anonymous Thu Feb 4 14:43:04 2021 No.12667163 File: 14 KB, 190x266, index.jpg [View same] [iqdb] [saucenao] [google] [report] What is your favourite math related anime? Mine is "Gotoubun no Hanayome: The Double Integral"
 >> Anonymous Thu Feb 4 14:43:23 2021 No.12667166 >>12667132That's why you're unemployed.
 >> Anonymous Thu Feb 4 14:45:17 2021 No.12667174 >>12667063Graduate level is based on content not on how hard the book is. Artin is harder at almost everything it covers but d&f goes further in almost everything except groups, and it has commutative algebra, algebraic geometry, homological algebra.
 >> Anonymous Thu Feb 4 14:46:40 2021 No.12667180 >>12667166>>12667132duh what do you think ring means?
 >> Anonymous Thu Feb 4 14:48:50 2021 No.12667183 >>12667163Rikei ga Koi ni Ochita no de Shōmei Shite Mita
 >> Anonymous Thu Feb 4 14:52:11 2021 No.12667188 >>12667163japanese people learn multivariable calculus in highschool? what the hell?
 >> Anonymous Thu Feb 4 14:55:03 2021 No.12667195 >>12657812Its the origin of spaceThink about it for at least 10 minutes, you'll see what I mean.
 >> Anonymous Thu Feb 4 15:04:38 2021 No.12667214 >>12667188that just indicates how bad education is other countries.
 >> Anonymous Thu Feb 4 15:09:08 2021 No.12667224 >>12667163Just read the first chapter, the premise is shit and the only math was addition.>>12667214Math education is shit in every country.
 >> Anonymous Thu Feb 4 15:14:37 2021 No.12667237 >>12667214You don't even know for sure if they really study multivariable calculus during high school there. I find it hard to believe, that anime is just trying to romanticize math I guess.
 >> Anonymous Thu Feb 4 15:21:54 2021 No.12667265 >>12667237I would not be surprised if it were true. Highschool maths in many asian countries is taught at a higher left than the west.
 >> Anonymous Thu Feb 4 15:26:01 2021 No.12667284 >>12662497No, undergrad calculus books are generally gearing you to be able to solve engineering problems and the like. That shit is mad boring, just keep learning more math anon.
 >> Anonymous Thu Feb 4 15:27:31 2021 No.12667294 >>12667265Well it's not true.
 >> Anonymous Thu Feb 4 15:29:24 2021 No.12667301 File: 223 KB, 720x692, 1610799499149.png [View same] [iqdb] [saucenao] [google] [report] How hard is abstract algebra? I've been studying linear algebra by myself with some good progress and abstract algebra seems really cool too. Any recommended prerequisites/books?
 >> Anonymous Thu Feb 4 15:29:57 2021 No.12667303 >>12667301Probably the hardest undergraduate subject.
 >> Anonymous Thu Feb 4 15:34:48 2021 No.12667323 >>12667301Easiest by far, out of all undergraduate subjects.
 >> Anonymous Thu Feb 4 15:36:38 2021 No.12667332 >>12666985>>12667323If you follow this advice. If not it is cancer aids because you have to read through some hyperspecific contextless word salad at some point.
 >> Anonymous Thu Feb 4 15:40:04 2021 No.12667345 File: 15 KB, 329x499, 31QT+wKaq3L._SX327_BO1,204,203,200_.jpg [View same] [iqdb] [saucenao] [google] [report] >>12667303>>12667323duality of /mg/>>12667332is picrel any good? I see it in the meme charts all the time
 >> Anonymous Thu Feb 4 15:42:53 2021 No.12667355 >>12667345>duality of /mg/Anyone who says it's easy is either lying or is a genius and considering they're posting on 4chan I'd bet on the former.
 >> Anonymous Thu Feb 4 15:43:29 2021 No.12667357 >>12667345Yes. This is a standard reference for almost every graduate qualifying exam in America.
 >> Anonymous Thu Feb 4 15:45:04 2021 No.12667361 >>12667357thank you anon
 >> Anonymous Thu Feb 4 15:45:40 2021 No.12667366 >>12667355There's a difference between "easy" and "easiest". One can surely argue that winning the gold medal of one of the olympic disciplines is easiest - but none of us will ever be able to get one nonetheless.My first post in this thread, but I'd also say pure abstract algebra is easier than, say, stochastics or topology. The objects are just more handson in a sense.
 >> Anonymous Thu Feb 4 15:53:29 2021 No.12667386 >>12667355I clearly followed it with this. Why are you like this? If this is how much brainpower you use to study algebra then you probably failed at finding out how to open the book.
 >> Anonymous Thu Feb 4 16:07:40 2021 No.12667410 >>12667366>My first post in this threadWhy did you feel the need to state that, fucking retard?
 >> Anonymous Thu Feb 4 16:19:18 2021 No.12667451 >>12667366>My first post in this threadWhy did you feel the need to state that, fucking retard?
 >> Anonymous Thu Feb 4 17:08:46 2021 No.12667700 >>12667366the simplest olympic discipline? math obviously
 >> Anonymous Thu Feb 4 17:10:17 2021 No.12667706 Hatcher says at the bottom of page 186 that the set of functions from the vertices of an oriented graph into an abelian group is also an abelian group. What is the group operation between these functions?
 >> Anonymous Thu Feb 4 17:10:34 2021 No.12667708 >>12667303Goes both ways. Usually it's one two camps analysis or algebra. I found algebra easier than analysis. I find it strange when people tell me they though analysis was easier. Neither are really hard as you go down the road and learn more.
 >> Anonymous Thu Feb 4 17:16:49 2021 No.12667738 >>12667706Probably point-wise addition
 >> Anonymous Thu Feb 4 17:58:39 2021 No.12667948 Whenever I start studying I soon get very sleepy. How can I overcome this? It's so annoying.
 >> Anonymous Thu Feb 4 18:02:22 2021 No.12667964 >>12667948improve sleep/study schedulefix what you eat and how you exercise
 >> Mult Thu Feb 4 18:07:13 2021 No.12667988 >>12667948Perhaps sleepiness actually is a good thing. It make you take info in moyre intuitively. Try yerba mate also.
 >> Anonymous Thu Feb 4 18:09:15 2021 No.12667997 >>12667948What is your study environment like? I find that studying when I'm somewhere noisy or busy gives me this sort of sleepy feeling with tension in my head.
 >> Anonymous Thu Feb 4 18:11:17 2021 No.12668011 >>12667948Simply don't study. Just skim and absorb the knowledge. Math is a spectator sport.
 >> Mult Thu Feb 4 18:12:06 2021 No.12668017 Can someone post the definition of minimal uncountable well ordered set from Munkres? I dont have my book on me and Im trying to think about it
 >> Anonymous Thu Feb 4 18:20:50 2021 No.12668057 File: 48 KB, 445x321, opisafaggot.png [View same] [iqdb] [saucenao] [google] [report]
 >> Anonymous Thu Feb 4 18:25:17 2021 No.12668076   >>12668017Let X be a well-ordered set. Given a in X, let S_a denote the SetS_a = (x|x in X and x
 >> Mult Thu Feb 4 18:34:33 2021 No.12668110 >>12668057So this shows that A and S0 can have the cardinality of (0,1)w. And I suppose they might depend on which well ordering B has. Can S0 have a different order type than (0,1)w and still have this property?
 >> Anonymous Thu Feb 4 18:34:43 2021 No.12668111 Can someone post the definition of a minimal uncountable well-ordered set from Munkres? I don't have my book on me, and I'm trying to think about it.
 >> Anonymous Thu Feb 4 18:36:27 2021 No.12668116 >>12668110>cardinalitystfu with your schizo bullshit spude.
 >> Mult Thu Feb 4 18:38:35 2021 No.12668122 >>12668116Bijections are schizo?
 >> Anonymous Thu Feb 4 18:40:52 2021 No.12668136 >>12668122"""(((finite)))""" cardinality is bullshit. Let alone your delusions on infinity
 >> Mult Thu Feb 4 18:41:47 2021 No.12668139 >>12668136In what way for finite?
 >> Anonymous Thu Feb 4 18:43:52 2021 No.12668146 >>12668139Do you believe that you can have a "set" of numbers?Do you believe that even if such a thing existed you could draw arrows to from one to the other?No. and Hell to the fuck no.
 >> Mult Thu Feb 4 18:45:54 2021 No.12668160 >>126681469 and 4 both have 2 square roots, Y/N?
 >> Anonymous Thu Feb 4 18:52:17 2021 No.12668175 >>12668160no.
 >> Anonymous Thu Feb 4 18:56:03 2021 No.12668191 >>12668160of course not. Just considering the number 2 the number 3. They both have 1 square root, Just draw a square.Both negatives and imaginary require sets.
 >> Anonymous Thu Feb 4 19:01:44 2021 No.12668214 >>12667964What should I eat?>>12667997It's a little noisy, I can't go to a library because of Covid.
 >> Anonymous Thu Feb 4 19:03:08 2021 No.12668220
 >> Anonymous Fri Feb 5 04:13:57 2021 No.12669669 The formula is trivial since the sine, cosine and pi are basically defined through the exponential to make it work.What's more impressive are the formulas actually computing these objects.
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