/math/ general - Archimedean solids edition

[Peacekeeper No.9008223]

>what are you studying?
>interesting problems, theorems, proofs, textbooks, papers?

An armistice in the great animeposting debate has been formally established.

[Anonymous No.9008236]

>>9008223
>An armistice in the great animeposting debate has been formally established.

The avatarfags killed themselves?

[Anonymous No.9008249]

how do i get good at math? i barely passed any of my math classes in high school and that was ten years ago

[Anonymous No.9008592]

>>9008223
Platonic solids > Archimedean solids.

[Anonymous No.9008596]

>>9008592
Their imperfections and more subtle symmetries are what make the archimedean solids beautiful

[Anonymous No.9008618]

Exercise time:

Let [math] I [/math] be an ideal in a ring [math] R [/math] and let [math] M [/math] be a module over [math] R [/math].
Then [math] {\textstyle M}\diagup_{IM} \simeq M\ {\otimes}_R\ R\diagup_{I} [/math].

>>9008596
No.

[Anonymous No.9008623]

>>9008618
do yr own homework brainlet

[Anonymous No.9008626]

>>9008623
This is [math] your [/math] homework buddy. I finished my PhD last year. I only correct homework now.

[Anonymous No.9008631]

>>9008626
You've done a PhD and can't offer anything more interesting than what looks like babby's first exercise out of atiyah macdonald?

[Anonymous No.9008632]

>>9008631
I offer exercises appropriate for the level of this general. Every time I posted more difficult exercises in the past they went by unsolved (unless I posted the solution myself)., so...

[Anonymous No.9008641]

>>9008632
>. Every time I posted more difficult exercises in the past they went by unsolved (unless I posted the solution myself)., so...
Sounds like you should be picking more interesting problems then, I'd guess there's plenty of more advanced people in /math/ than myself and I was doing problems like that 3 or 4 years ago

[Anonymous No.9008644]

>>9008626
are you a post-doc?

[Anonymous No.9008645]

>>9008626
Not the guy you are replying to but I like your posts. That said, I am a filthy sophomore who aspires to be a doctor. How is life as a doctor in mathematics? What do you do irl?

[Anonymous No.9008646]

>>9008249
you do more math

[Anonymous No.9008657]

>>9008645
>What do you do irl?
it looks like he posts anime on 4chan while attempting to be condescending

[Anonymous No.9008659]

I am looking at this math exchange question:
https://math.stackexchange.com/questions/2058905/limit-of-complex-line-integral-over-a-uniformly-convergent-sequence-of-curves

but I want to find that statement as a theorem somewhere in some book. I suppose that if it was a problem then it must be true, but the comments suggest that the problem is not being stated correctly, and then they are vague about how a proof would go. Does anyone who know complex analysis have a reference for this?

I don't necessarily want a proof, I just want a reference to the problem in some book so I can see it stated properly at least.

[Anonymous No.9008663]

>>9008657
>it looks like he posts anime on 4chan while attempting to be condescending

I see absolutely nothing wrong with that. Plus, you were the one who was condescending first by assuming he was posting homework problems.

[Anonymous No.9008666]

>>9008641
Ok big boy: let [math] F [/math] be a field, [math] p \in F[x] [/math] irreducible, and denote [math] F_p = \frac{F[x]}{(p)} [/math]. Prove that [math] \frac{F_p}{F} [/math] is étale [math] \iff p' \neq 0 [/math].
>>9008645
>How is life as a doctor in mathematics?
Full of sorrow.
>What do you do irl?
Right now, "research" (i.e. I wank a lot).
>are you a post-doc?
Yeah, I have a 2 year research assistant position lined up for me starting this autumn.

[Anonymous No.9008667]

>>9008663
>Plus, you were the one who was condescending first by assuming he was posting homework problems.
that's another poster

[Anonymous No.9008670]

>>9008666
>Full of sorrow.
> I wank a lot
>satanic trips

What? Why is it full of sorrow?

[Anonymous No.9008673]

>>9008666
You don't have any fun construction problems? Anything more interesting than just proving when some algebraic object satisfies some property?

[Anonymous No.9008676]

>>9008223
>An armistice in the great animeposting debate has been formally established.
Hi guys, I'm new. What does this mean?

[Anonymous No.9008677]

>>9008676
It means some faggots wanted to type plebbit.com but the incompetent fucks made 10 typos in a row and ended up typing 4chan.org/sci and then started complaining that people were posting anime characters... despite this being fucking 4chan of all places.

[Anonymous No.9008685]

>>9008677
>It means some faggots wanted to type plebbit.com but the incompetent fucks made 10 typos in a row and ended up typing 4chan.org/sci and then started complaining that people were posting anime characters... despite this being fucking 4chan of all places.
you don't have to be so hostile to the newcomers, they'll warm up to anime eventually

[Anonymous No.9008688]

>>9008685
I will be hostile to newcomers if they try to impose their cultural norms on top of ours.

We run this place. We made 4chan into 4chan.

[Anonymous No.9008699]

>>9008670
When is life not full of sorrow? (It's extremely hard to get a good position anywhere that would allow you do do anything interesting. Several orders of magnitude harder than getting into a good PhD program. Come september I will have been a glorified NEET for almost a year.)
>>9008673
>any fun construction problems?
Can't think of any on the spot. Can't be bothered to either, because
>proving when some algebraic object satisfies some property
this is what all problems reduce to in the end.

Basically: can you prove it or not you little bitch? I'm waiting.

[Anonymous No.9008703]

>>9008677
Sounds terrible, so let's all do our best to make /sci/ anime again.

[Anonymous No.9008704]

>>9008699
>When is life not full of sorrow?
When you fill up life with things that make you happy, whether it's hobbies or other people or love etc.

>Basically: can you prove it or not you little bitch? I'm waiting.
Maybe, my point is just that it just looks like a generic algebra problem I could find 1000 others like in some textbooks if I wanted to do them, those are the kind I usually skip over

[Anonymous No.9008717]

>>9008704
>my point is just that it just looks like a generic algebra problem I could find 1000 others like in some textbooks if I wanted to do them, those are the kind I usually skip over

[Anonymous No.9008724]

>>9008666
If p' = 0, then p has a multiple root in [math]\bar f[/math], hence F_p is not etale over F.
If p' <> 0, then p and p' are coprime (indeed, p is irreducible and deg p' < deg p, hence they cannot have a common irreducible factor in F[x]), hence p splits with distinct roots in [math]\bar F[/math], hence F_p/F is etale.

You could have said separable. In that context, it makes no difference and more people are likely to have heard the term.

[Anonymous No.9008725]

>>9008717
Different strokes for different folks I guess

[Anonymous No.9008732]

>>9008724
>indeed

[Anonymous No.9008757]

More problems:
. Let K be a finite field. Count the number of subspaces of [math]K^n[/math] of dimension k for k in {0..n}.
. Let G be a finite group such that Aut(G) acts transitively on G\{1}. Prove that G is isomorphic to (Z/pZ)^n for a certain prime p and and a certain integer n.
. Compute the integral [math]\int_0^{\infty} \dfrac{e^t - 1}{t} dt[/math] (justify every step, please, no bullshit)
. Let [math]f : \mathbb R_{\ge 0} \to \mathbb R[/math] be a surjective function. Prove that f assumes each value infinitely many times.
. Prove that the graph of the exponential function is not an algebraic set, ie. prove that there is no non-zero polynomial P such that [math]\forall x \in \mathbb R P(x, e^x) = 0[/math].

[Anonymous No.9008786]

>>9008757
4th assertion is wrong as stated. True though if you assume the function to be continuous.

[Anonymous No.9008789]

>>9008786
shit yeah of course it has to be continuous

[Anonymous No.9008808]

Adding to the list of problems:

[math] \circ [/math] Prove the variational lemma (2huposter attempted to use something like this last thread):
for [math] u \in {L^1}_{loc}(a,b;X) [/math] where [math] -\infty \leq a < b \leq +\infty [/math], if [math] \int_{a}^{b}\phi(t)u(t)dt=0\ \ \forall \phi\in C_{o}^{\infty}(a,b)[/math] then [math] u=0\ \ (a.e.) [/math]
[math]\circ[/math] let [math] \psi , h \in C[a,b] [/math] where [math] -\infty <a<b< +\infty [/math]. show that if [math] \psi [/math] is non-negative and
[math] \frac{1}{2}h(t)^2\leq\frac{1}{2}c^2+\int_{a}^{t}\psi (s)h(s)ds [/math] then [math] \mid\ h(t)\mid \ \leq\ \mid c\ \mid +\int_{a}^{t}\psi (s)ds[/math]

7 in total should be enough ye?

[Anonymous No.9008811]

>>9008757
e^t - 1 is always greater than t if t greater than or equal to zero, by looking at e^t's taylor expasion.

the integral is not bounded.

[Anonymous No.9008871]

>>9008811
Fuck I meant from 0 to 1 -.- It really is summer

[Anonymous No.9008901]

When's the first (1st) annual /math/ meetup?

[Anonymous No.9008996]

>>9008677
Remember when posting anime on sci used to get you banned for 'infantile cartoons'? that mod is the reason so many people here still spazz out when you post it.

[Anonymous No.9009002]

>>9008996
>ponies
>anime

[Anonymous No.9009009]

>>9008996
To be fair ponyfags deserve to be banned from here as well as life itself.

[Anonymous No.9009017]

Hey guys. I will write my math test tommorow about integrals and I dont have an idea how should I do it._. I am really depressed now. perhaps somebody could help me?

[Anonymous No.9009019]

I am really bad at math and this is my last test this year... when I write it well I wont fail this subject and I can go to the next class.

[Anonymous No.9009022]

>>9009002
>>9009009
did seeing ponies make you go blind, causing you to miss all the anime pics?

also, this was before ponies were banned.

[Anonymous No.9009023]

If I say that I am a girl nothing changes, yeah?

[Peacekeeper No.9009025]

>people still arguing about animeposting
I'll delete this thread and everyone inside it along with their posts

[Anonymous No.9009072]

>Proof: Exercise
>in a journal paper

[Anonymous No.9009113]

>>9008659
Bump? No one who knows complex anal has seen this problem/theorem?

[Anonymous No.9009121]

>>9008249
khanacademy

[Anonymous No.9009187]

>>9008223
What is the most autistic field of mathematics?

[Anonymous No.9009188]

>>9008626
>>9008699
>>9008732
>>9008901
>>9009072
Kill yourself, fucking retards.

[Anonymous No.9009192]

>>9008223
>what are you studying?
I'm studying ways of creating a new field of math dedicated to consuming human excrement. So basically a formalization of this thread.

[Anonymous No.9009195]

>>9008626
>>9008699
Hey. Subhuman garbage is not welcome in this thread. Thanks!

[Anonymous No.9009199]

>>9008732
>>9008901
Hello. You do realize that vermin such as yourself is not welcome here, right?

[Anonymous No.9009203]

>>9009072
"Epic" image "bro"! How about you fuck off to somewhere else? Like >>>/b/ for example

[Anonymous No.9009206]

>>9009019
Don't worry. Every single retard in this thread doesn't actually know or care about math so you're in good company.

[Anonymous No.9009218]

>>9008626
Kill your own self immediately. Your kind doesn't deserve to live.

[Anonymous No.9009225]

>>9008757
>>9008808
Haha. Why do you even care about this "math" stuff lol
just attach the same images to your posts instead like all of us here do.... fuck that "MATH" Shit!

[Anonymous No.9009238]

>>9008631
>>9008641
>>9008704
>>9008725
Good posts haha! Do you mind if I screenshot them??

[Anonymous No.9009241]

>>9009238
>>9009225
>>9009218
>>9009206
>>9009203
>>9009199
>>9009195
>>9009192
>>9009188
edgy, I like it

[Anonymous No.9009254]

>>9009241
good post! i'm black myself and i can sympathize with this image.

[Anonymous No.9009259]

>>9008626
> I finished my PhD last year.
COOL! Can I get your name please? I wanna learn from you... Your so cool.

[Anonymous No.9009262]

>>9009241
are you black too? is that you on the image?

[Anonymous No.9009265]

>>9009017
Wow... Your retarded aren't you? Why are you interested in "math"?
>perhaps somebody could help me?
Yes. Choose a recognizable series and attach images from there to every single post you make. This is the only way your going to learn.

[Anonymous No.9009268]

>>9008811
>>9008871
Who fucking cares dude... Just post some reaction images, make sure that their either of the same character or from the same series or from a character associated with some other character you usally like to post here....

[Anonymous No.9009273]

>>9008724
>>9008786
>>9008789
literally who gives a fuck...
>>9008732
true!

[Anonymous No.9009279]

>>9009206
fucking this! i cant understand they're desire to post "math" here of all places
why dont they use some other board?? it's an avatar based chatroom here not a "math" discussion thread

[Anonymous No.9009282]

>>9008626
>>9008673
>>9008676
>>9008699
>>9008703

Seek professional help. Mental illness will only get worse if it goes untreated.

[Anonymous No.9009284]

>>9009282
lmao... chill out dude....
just post a cancerous recognizable reaction image and be done with it

[Anonymous No.9009292]

Why do you people need a /math/ general when math is a board-wide topic (it's in the board name)?
It makes about as much sense as /co/ having a "cartoons general" or /biz/ having a "finance general".

If there was an excess of math-related posts to the extent that mathposting has to be corraled into a single thread, that might have been a reason to justify the existence of a general, but at this point it looks like pic related is already in full effect.

May I suggest, in lieu of a general, that people simply start new threads discussing math, as and when they have interesting content to discuss.

[Anonymous No.9009297]

>>9009292
no... post a reaction image which makes it so that i can easily distinguish your posts or fuck off.

[Anonymous No.9009309]

>>9009225
The irony here being that at least one of those posts is made by someone who just attaches the same images to their every post.

:*

[Anonymous No.9009313]

>>9009309
literally forget about math dude...
just use recognizable images all the time and wel'l be fine. there's literally no need for math here.

[Anonymous No.9009323]

>>9009292
it's just a containment thread for circlejerkers, like every general

[Anonymous No.9009332]

>>9009313
Here's something that will creep you the fuck out: I barely use a reaction image once every 5th post, roughly. We might have interacted on friendlier, normal grounds in the past! Imagine the horror of that!

[Anonymous No.9009333]

>>9009323
please don't be so hostile. just us an avatar and everything will be fine my "dude".

[Anonymous No.9009336]

>>9009309
>a post without an image is made by someone who attaches the same images to their EVERY post
Are you sure you should be using a math thread?

[Anonymous No.9009341]

>>9009336
I was only paraphrasing his claim, the point being that he's made avatarfagging out to be a much bigger problem than it actually is.

[Anonymous No.9009342]

>>9009332
Haha!! dude... I'm going to screenshot evey single reaction image scene of hibike euphonium too and post it here. Maybe i'll become as cool and avdanced as you.
>We might have interacted on friendlier, normal grounds in the past!
Yeah!! This! It really fucking matters what happened ed when i replied to your posts without you using a cancerous reaction image right? it's not like this is what they call an """anonymois image board"""

[Anonymous No.9009344]

>>9009341
>I was only paraphrasing his claim
That is not an excuse for your inability to spot a blatant contradiction.
>the point being that he's made avatarfagging out to be a much bigger problem than it actually is
Did you make a typo when entering this site? This isn't "reddit.com" where you "people" use "avatars".

[Anonymous No.9009347]

Hey guys. I'm a new "Math Only" poster here. Don't mind me. I'm making posts about "Math" right now.

[Anonymous No.9009349]

Just found some some new math some Math and wanted to share it with you. Don't mind me.

[Anonymous No.9009353]

Hey guys. Don't mind my posts. Wanna dicuss some cool Math here? I just got my PH D by the way. Oh but that's math related actually.

[Anonymous No.9009354]

>>9009347
>>9009349
>>9009353
Good posts! I fully agree with this Math. I hope to beome as cool as you one day when I can finally get my PH D as well.....

[Anonymous No.9009360]

Please don't mind my posts guys continue your discussion. I'll just be posting some Math problems here right now (this very post).
Oh and Did I tell you I got my PH D recently so I'm allowed to use cancerous what did they call them again "reaction images" (not to be confused with avatars) hehe

[Anonymous No.9009365]

>>9009342
Hold on a second faggot: why are you so eager to elide any trace of your identity and why are you so scared of the identity of others seeping through the veil of your imagined lemming swarm utopia?
I'm not even the only guy who's posted reaction images from Hibike Euphonium, nor is Hibike Euphonium characters my only source for reaction images.

Seriously, kill yourself.

[Anonymous No.9009368]

Now that I think about it actually Math should be banned from this thread. Subscribe to my facebook if you agree!
>>9009365
>lls @ ur life
Haha! Epic! I have heard this joke made on thee website "Twitter" and I laughed so hard my heart started hurting a little

[Anonymous No.9009371]

I bet the spammer is the 2huposter. He's mad that no one cares about his physics shit.

[Anonymous No.9009374]

>>9008757
>>9008808
>math
Fucking idiots... This is a chatroom not a "math thread".

[Anonymous No.9009376]

>>9009371
>physics
Yes. Please post that in this thread. Physics and avatar chatrooms is what this thread is truly about.

[Anonymous No.9009379]

It really is the 2huposter and he really is THIS mad! Holy shit this is hilarious!

[Anonymous No.9009380]

>>9009371
>>9009374
>>9009376
This... I sugesst we rename this thread to "Avatars and Special Physics" in other words ASP

[Anonymous No.9009381]

>>9009379
Hello. I think Physics should be the one true topic of this thread actually well perhaps avatars and casual chats with avatars are fine as well but physics should really be the main focus i think.

[Homework No.9009383]

But I really need help. I can show boobs for help.

[Anonymous No.9009384]

>>9009365
Saved this post. This is truly a great thing which needs to be recorded and passed down through generations. THANK YOU! I hope to become as cool and avdanced as you when I receieve my "PH D"

[Anonymous No.9009385]

>>9009381
Yo 2hu, why are you so upset tho?

[Anonymous No.9009386]

>>9009383
Fuck off.... We discuss avatars and physics here. Not some filthy "Math".
>>9009385
I merely think that Physics should be the sole topic of this thread. Is that really that strange considering it's superior? Oh and don't forget to maintain the chatroom atmosphere by constantly using Avatars.

[Anonymous No.9009394]

>2huposter got so btfo last thread that he's now pretending to be one of the anti-avatarfags

[Anonymous No.9009395]

Hey guys. I'm new and I really LOVE this chatroom atmosphere you have here.
By the way does someone else like Physics here? I fucken Hate Math so I'm thinking I'll just post about Physics instead. Is that OK?

[Anonymous No.9009403]

>>9009395
I agree. I absolutely Love Physics and despise "Math".
Nice avatar by the way. Did you get your PH D by any chance?

[Anonymous No.9009426]

Official proposal to rename this thread to "Avatars and Physics General".
Oh and fuck "Math" by the way.

[Anonymous No.9009436]

>>9008249
why do you fucking care about "Math"? just us an avatar dude

[Anonymous No.9009443]

>>9009365
Subhuman trash is not welcome in this thread.
Please use reddit.com

[Anonymous No.9009447]

>>9008223
>interesting problems, theorems, proofs, textbooks, papers?
Nope. We don't do those in Physics. We have Intuition.
"Math" sucks by the way.

[Anonymous No.9009449]

>interesting problems, theorems, proofs, textbooks, papers?
http://www.sciencedirect.com.sci-hub.io/science/article/pii/S0001870816317716
>Let [math]X[/math] be a Banach space which is either separable or does not have any
subspace isomorphic to [math]c_0[/math]. Then every operator [math] T:L^{\inty}[0,1] \rightarrow X[/math] is strictly singular.

>>9009347
those thighs tho...

[Anonymous No.9009454]

>>9009449
Please refrain from posting math in this thread. Or at least use a cancerous recognizable reaction image as your avatar when you do so.

[Anonymous No.9009459]

>>9009449
Can't you read? This is not a math thread, retard.

[Anonymous No.9009461]

>>9008626
Wow! This is so freaking COOL! I hope I can become like you one day....... Nice cancerous reaction image by the way!

[Anonymous No.9009511]

Literally fuck "Math" and everyone who studies it.
It's not appropriate for this avatar thread.

[Anonymous No.9009517]

What a shit thread this is.

[Anonymous No.9009543]

>>9009517
Kill you're self immediately. Math-tard.

[Anonymous No.9009565]

>>9009365
Nice twitter post "mate"! I really like your posting style! Keep it up!

[Anonymous No.9009602]

>118 replies
>18 posters
Hmmm

[Anonymous No.9009606]

being a pure meth addict is not healthy. pure meth heads need help. maybe a strong masculine engineer can help them.

[Anonymous No.9009627]

>>9009602
>>9009606
Lmao. Literally fuck "Meth".

[Anonymous No.9009633]

>>9009602
that's how it goes when someone spills their spaghetti, almost all the posts after this >>9009188
are made by the >"Math" autist

[Anonymous No.9009639]

>>9009633
>Math
Fuck off to some other thread. We discuss avatars here, not "Math".

[Anonymous No.9009645]

>>9009347
I would have intercrural intercourse with those girls all day long. Those are legs to die for.

[Anonymous No.9009648]

Daily reminder to attach the same cancerous reaction images to your posts.

[Anonymous No.9009687]

>mfw every time we have a /math/ general it turns to shit at an ever faster rate
So when does the discussion about math begin?

[Anonymous No.9009700]

Would you believe that?
There are people posting anime images on an anime imageboard.

[Anonymous No.9009702]

>>9009687
>tfw /mg/ was the solution to the /math/ problem

[Anonymous No.9009705]

Complex biological processes, such as the metabolism, often involve thousands of different compounds coupled by chemical reactions. These process chains are described by researchers as chemical reaction networks. Researchers from the University of Luxembourg have developed new mathematical methods to study the energetic properties of these networks. The scientists published their findings in the scientific journal Physical Review X.

[Anonymous No.9009708]

I think one of the tards in these threads is the Lithuanian from /balt/. He also posts Kurisu and Kumiko there.

[Anonymous No.9009710]

If you are going to avatarfag on the math thread at least use the right character.

[Anonymous No.9009714]

>>9008808

>variational lemma

Are we allowed to use the fact that [math]C_0^{\infty}(a,b)[/math] is dense in [math]L^{1}[/math]?

[Anonymous No.9009719]

>>9009022
An otaku is an otaku regardless of what their favorites are.

[Anonymous No.9009721]

Bane?

[Anonymous No.9009744]

>>9009714
You're allowed to use anything pertinent to the proof.

[Anonymous No.9009772]

>>9009700
Nobody was talking about anime, you fucking retard.

[Anonymous No.9009773]

>>9008808
>>9009714
>>9009744
"Math" is garbage. Let's attach cancerous avatars to our posts instead.

[Anonymous No.9009779]

Hey guys. Anyone wants to discuss Chemistry or Physics or CS or Biology here? Anything except this "Math" bullshit.
Oh and this image is so you can easier spot my PH D level posts.

[Anonymous No.9009781]

>>9009714
>>9009744
>""proofs""
Wrong thread, retards. We don't use that in Physics. We use our Intuition.

[Anonymous No.9009810]

Wow... Do some people actually like "Math" here? That's pretty fucking pathetic.
The image is just for making my posts more noticeable since most people would obviously like to read them.

[Anonymous No.9009816]

Ok anon, tell us what's wrong. Did your girlfriend cuck you? Is that why you are upset? Did she cuck you with some math PhD? Physics PhD? Did the guy she cheated on you with like anime or something?

Let it all out man. If you're going to spam the thread, at least turns that into a purgative process for you. Catharsis is impossible if you bottle it up.

[Anonymous No.9009837]

>>9009332
>>9009342
>>9009347
>>9009349
>>9009353
>>9009353
>>9009360
>>9009365
>>9009368
>>9009376
>>9009381
>>9009386
>>9009395
>>9009403
>>9009426
>>9009447
>>9009700
>>9009705
>>9009710
>>9009719
>>9009779
>>9009781
>>9009810
>>9009816
pls kys

[Anonymous No.9009859]

>>9009837
Why are you telling yourself to kill yourself? Was your girlfriend cucking you that much of a blow? Are you sure you want to kill yourself? We can help anon, whatever it is you decide to do.

[Anonymous No.9009875]

>>9009816
I never said anything bad about anime. I have been contacted by a higher entity to take care of this abominable place.

[Anonymous No.9009877]

>>9009816
>>9009837
>>9009859
>>9009875
Good posts. Literally Fuck "Math" and everything related to it. It's fucking garbage and shouldn't be discussed in this thread.
This image is from when I got my PH D.

[Anonymous No.9009880]

>>9009859
>>9009875
>>9009877
Kill your own self, mathtards. We don't like "Math" around here, it doesn't use Intuition.

[Anonymous No.9009889]

>>9009113
>theorem
Fuck off. This thread is not for ""theorems"" or "Math". We discuss cancerous avatarfagging and Physics here, not "Math".

[Anonymous No.9009892]

Are you actually schizophrenic or only pretending to be schizophrenic to hide the pain in your heart caused by your girlfriend having the dick of another man inside her?

[Anonymous No.9009898]

>>9009892
>pain in your heart
Good. Let's discuss Biology instead of that "Math" garbage. I really hate that kind of crap.
I just got my PH D by the way.

[Anonymous No.9009901]

>>9009898
Were you in the room while the math PhD was fucking your girlfriend? How hard did she moan? Did you masturbate to it?

[Anonymous No.9009905]

>>9009877
>>9009898
You don't have a PhD. Stop larping and kys.

[Anonymous No.9009906]

>>9009901
>math
I fucking hate it and this thread is not for discussing "Math". Please refrain from mentioning it here. Only the following things are acceptable:
1) cancerous avatarfagging
2) Physics
3) Biology
3) Chemistry
4) Literature
As you can see "Math" is banned from this thread.
>fucking
Yes. Let's discuss Biology instead of "Math".

[Anonymous No.9009908]

>>9009905
I actually just got my PH D.
Hmm... Your post sounds like it might be coming from a mathtard. Is that true? If so, please refrain from shitting up this thread any further.

[Anonymous No.9009910]

>wake up
>the absolute state of /math/
I wonder what the next /math/ will look like

[Anonymous No.9009913]

>>9009910
Yes. Let's discuss Economics instead. "Math" is fukcing garbage and should be banned from these threads.

[Anonymous No.9009918]

Reading "book of proof" and reading proofs on Fermat's library. I'm just warming till I start on my bachelor in a couple of months

[Anonymous No.9009928]

>>9009918
>book of proof"
Lol...
Fucking idiot. We don't use "proofs" over here. It's just pure Intuition.
> I'm just warming till I start on my bachelor in a couple of months
"Math" is garbage. Please refrain from discussing it here.

[Anonymous No.9010059]

>>9008646
Why? "Math" is garbage and is off-topic. Please don't bring it here.

[Anonymous No.9010157]

Is everyone on stack exchange just mathturbating for everyone to see? It seems like they dont even read the question.
I literally just asked a question, clearly stating that the exercise specifically does not assume *certain definitons/properties*

first two responses:
>have you tried constructing the function using *certain definitions/properties*
>just use that the *categorical nonsense jargon* and then construct the function using *certain definitions/properties*

[Anonymous No.9010204]

>>9010157
Fuck off. "Math" is not welcome in this thread. We study Physics here where we use our Intuition and not silly "proofs".

[Anonymous No.9010240]

>>9010204
fuck, dont even get me started about physics stack exchange
>post question
>someone posts a link to another question that is not even tangentially related
>a couple of insults
>tagged as homework
>question locked

[Anonymous No.9010343]

>>9010157
>>9010240
>go on math/physics stackexchange
>"how do I show X is Y?"
>long unreadably verbose post that proves X is Y for generic non-Hausforff non-commutative X and non-compact Dedekind-infinite Lindelof Y as top answer
>"here's a 500 page PDF that talks about X for 5 pages and I'm not going to give you the page number"
>"just look at this one other question that has a link to another question as top answer rofl"
>"if X is Y then [blah]"
>"try reddit lmao"

[Anonymous No.9010350]

>>9010240
>>9010343
Epic posts!! Lol...
Let's post cancerous avatars together!

[Anonymous No.9010355]

>half the thread just disappeared

[Anonymous No.9010363]

>check >>/sci/thread/S9008223
>someone spamming from 8 am all the way to 4 pm
someone needs a hobby

[Anonymous No.9010375]

https://en.m.wikipedia.org/wiki/Mathematical_manuscripts_of_Karl_Marx

[Anonymous No.9010377]

>>9010375
>m

[Anonymous No.9010392]

Theres no need for a math general. I havent seen one worthwhile post in the whole thread and it has nothing to do with a couple of retards spamming gibberish thinking they are so funny

[Anonymous No.9010406]

>>9010392
>Theres no need for a math general.
Do you not see the state of this board?

[Anonymous No.9010415]

>>9010406
Whats the point in a general if no one even posts anything meaningful? Thats the kind of posts a general invites. It doesnt foster good discussion, it fosters people trying to craft their own in-thread persona and culture. Its a "hang out" place. Naturally posts in a general are going to be of a very low quality. Just taking a glance at this thread it looks like 50 posts were deleted because someone finally figured out theres a report button

[Anonymous No.9010416]

>>9010377
I am slowly with cigarettes.

[Anonymous No.9010426]

>>9010375
>m*rx

[Anonymous No.9010427]

>>9010416
Good, good...

[Anonymous No.9010432]

>>9010415
>Whats the point in a general if no one even posts anything meaningful?
Because occasionally there are good posts, at least better than the rest of the board, I browse this board with every thread hidden except sqt and math

[Anonymous No.9010434]

>>9010432
Good for you. Even the activity in this thread is low. It would be better if a really good post had its own thread. I wont report this thread since I already posted in it, that wouldnt be christian. But it sucks ass

[Anonymous No.9010458]

>>9008757
4th:
Let p be a point such that f(x) != f(p) for x > p. Then (p,inf) ) gets mapped by f into a half line. Therefore f( [0,p] ), a compact set, fills the other half line. Contradiction.

[Anonymous No.9010467]

Real numbers can't be shown to exist.

[Anonymous No.9010476]

>>9010467
why

[Anonymous No.9010483]

>>9010476
Where?

[Anonymous No.9010491]

>>9010458
>Then (p,inf) ) gets mapped by f into a half line
How

[Anonymous No.9010494]

>>9010491
f( (p,inf) ) is a connected set lying in R \ { f(p) }.

[Anonymous No.9010499]

Could you please give some advices about "how to Galois group" for a novice? Thank you for your response, anon.

[Anonymous No.9010501]

>>9010494
where does it say f is continuous

[Anonymous No.9010506]

>>9010501
here >>9008789

[Anonymous No.9010509]

>>9010506
Even if the image is connected, why do you assume it is a half line instead of a bounded interval. If it was half open half closed then the compliment wouldnt be compact

[Anonymous No.9010511]

>>9010509
I said into, not onto

[Anonymous No.9010546]

>>9010499
What about them?

[Anonymous No.9010570]

>>9010546
Some literature or guides, I suppose. Where should I start? I studied only common ideas of general groups and crystallographic groups.

[Anonymous No.9010619]

>>9008757
>. Let K be a finite field. Count the number of subspaces of Kn of dimension k for k in {0..n}.

isn't this uncountable for k=0 to n-1?

for instance if k=1, any vector defines a 1d subspace whose elements are just that vector times a scalar. you have an uncountable set of directions that you can pick your subspace from. i'm probably misunderstanding the question.

[Anonymous No.9010661]

"Green's function" or "Green function"?

[Anonymous No.9010670]

>>9010661
In Russia we use the first variant lol. Фyнкция Гpинa.

[Anonymous No.9010687]

>>9008757
>. Let K be a finite field. Count the number of subspaces of Kn of dimension k for k in {0..n}.

let me know if i got these subcases right:

k=1 then 1
k=2 then any vector in Kn defines a separate subspace. if there are n elements in the field, then each vector with all "positive" elements defines a subspace, and there are n^2 such vectors, as does any vector with positive elements in the first position and negative in the second, again 2^n. so 2^(n+1) elements?
counting the other 2^(n+1) distinct vectors is avoided because they're simply the negatives of the first.

[Anonymous No.9010709]

>>9008757
>. Let K be a finite field. Count the number of subspaces of Kn of dimension k for k in {0..n}.

let me know if i'm in the ballpark for these first two cases? not used to thinking of vector spaces as being discrete

k=1 take the set of all possible vectors, and for each vector, remove all of its scalar multiples.

so if there are m elements, then m^n unique vectors, and each vector has m scalar multiples, so we take m^n/(m-2) vectors for k=1? m-2 because we don't want to multiply them by zero, and also we want to take out all but one scalar multiple.

k=2 then any selection of two vectors in the case for k=1 defines a 2d subspace. for each pair selected, we would need to remove all remaining co-planar vectors from consideration, so by this method we can construct a basis for every 2d subspaces and count how many there are.

[Anonymous No.9010716]

* oops, i think it's m^(n-1) vectors for k=1, or something like that

[Anonymous No.9010744]

>>9010661
How about the function of "stop posting infantile cartoons"?

[Anonymous No.9010770]

>>9010709
You're not completely off, but that's not quite right either.
Counting vectors modulo multiplication is a good idea for the case k=1, but I don't think you are seeing it the right way (should you really take *all* vectors in consideration ? do all vectors have m multiples ?)

For the k=2 case, good idea as well, but there are still details to figure out (does any pair of vectors really generate a 2d subspace ?)

>>9010458
succinct (you could have explained why f([p,inf) ) lies in a half line), but correct

[Anonymous No.9010809]

>>9010770
>do all vectors have m multiples ?)

not counting scalar multiplication by zero, there should be m-1 scalar multiples. i guess you'd subtract 1 for the origin too. is that what you're getting at?

>(does any pair of vectors really generate a 2d subspace ?)

ah, i guess not. you wouldn't be able to make some linear combinations without using, for example, some non-integer values.

[Anonymous No.9010816]

>>9010770
>do all vectors have m multiples ?)
not counting scalar multiplication by zero, there should be m-1 scalar multiples. i guess you'd subtract 1 for the origin too. is that what you're getting at, or are they not all necessarily unique?

>(does any pair of vectors really generate a 2d subspace ?)

i'll think more about it

[Anonymous No.9010887]

>>9010770
> does any pair of vectors really generate a 2d subspace ?
If this pair is not coplanar (linear independent), you can consider this pair as a basis for a linear 2d subspace. I suppose It's correct.

[Anonymous No.9010912]

>tfw you have shit spatial reasoning
>tfw you don't give a fuck because you do combinatorics
>tfw people think your field is a meme
>tfw

[Anonymous No.9010931]

>>9010887
Well yeah, but as you said it has to be a pair of independent vectors. The pairs (0,x) or (x,2x) for some vector x for example don't generate 2d subspaces so they shouldn't be taken into account

[Anonymous No.9010937]

>>9010931
> you said it has to be a pair of independent vectors
I said that they should be LINEAR independent. In case of 2d, It means, that you cant make them equal by multiplication one of them on scalar. In other words, the scalar product of them should n't be equal 0.
The pairs (0,x) or (x,2x) so will be linear independent, if x not equal to 0.

[Anonymous No.9011002]

>>9008757
>the number of subspaces of dimension k
1, up to isomorphism.

[Anonymous No.9011021]

>>9008757
>integral
I get the answer in a sum form (picrelated). But I need to think how to calculate this sum.

[Anonymous No.9011024]

>>9010937
>In other words, the scalar product of them should n't be equal 0.
two vector are collinear if and only if their scalar product is equal to the product of their norms. 0 means orthogonality.

[Anonymous No.9011025]

>>9011021
Oh lol, I get It. Residue, yes?

[Anonymous No.9011031]

>>9011024
Ups, I meant vector product, sorry. Angle between two vectors should n't be pi*n.

[Anonymous No.9011036]

>>9011031
>vector product
n could be higher than 3. What then?

[Anonymous No.9011040]

>>9011036
Okey, I think I made too many mistakes today. Let's see what wiki says.
So, firstly I said the same thing:
>> In case of 2d, It means, that you cant make them equal by multiplication one of them on scalar.

[Anonymous No.9011041]

>>9011040

[Anonymous No.9011072]

https://www.youtube.com/watch?v=S-Xm7s9eGxU

[Anonymous No.9011074]

>>9010937
>>9011024

seriously guys, how do you do math without knowing your definitions ? it's not that hard to keep in mind

[Anonymous No.9011084]

What's up with the manbabies in these threads?

[Anonymous No.9011093]

Im studying combinatorics with Ralph Grimaldis book that is large och heavy like a fucking tombstone, does anyone know a good and less american sized book on combinatorics that specifically covers inclusion/exclusion, derangements, rook polynomials, partitions, generating functions, homogeneous and general linear recursions, latin squares and the basics of graph theory (i.e. graphs, subgraphs, isomorphisms, euler walks, hamilton paths, dual graphs, coloring, trees, shortest paths, minimal spanning trees, flows and matchings)?

[Anonymous No.9011107]

>>9008871

Straightforward Taylor series expansion gives

$$ \sum_{k=1}^{\infty} \dfrac{1}{k! k} $$

which is Ei($1$) - $gamma$. What a sorry problem.

[Anonymous No.9011117]

>>9011107
Mate, you need to do the analytic continuation and use the residues. I did do that, but very probably It is the right way to integrate.

[Anonymous No.9011127]

>>9008871

Seeing as there's no indefinite integral, straightforward Taylor series expansion yields

[math]\sum_{k=1}^{\infty} \dfrac{t^k}{k!k} [\math]

So for bounds t = 0, 1:

[math] \sum_{k=1}^{\infty} \dfrac{1}{k! k} - 0 = \text{Ei}(1) - \gamma [\math]

[Anonymous No.9011129]

Interesting question: let x and y be linearly independent vectors in R^2, proof they form a basis.

[Anonymous No.9011147]

>>9011129
Let [math] v=(v_1,v_2) \in \mathbb{R}^2 [/math]. [math] x = (x_1,x_2) [/math] and [math] y = (y_1,y_2) [/math] form a basis if and only if the system
[math] v_1 = {\epsilon}_x x_1 + {\epsilon}_y y_1 [/math]
[math] v_2 = {\epsilon}_x x_2 + {\epsilon}_y y_2 [/math]
admits a solution for any [math] v \in \mathbb{R}^2 [/math], which happens when the associated matrix is non-singular, which is equivalent to saying that [math] x [/math] and [math] y [/math] are linearly independent.

[Anonymous No.9011149]

>>9011147

[Anonymous No.9011206]

>>9011129
what is your definition of a basis

[Anonymous No.9011214]

>>9010912
Are you me?

[Anonymous No.9011244]

>>9008223
>what are you studying

Finite element analysis.

I had formal coursework in matrix structural analysis, but now I am expanding this knowledge to plate and shell elements.

Currently I am only interested in stress analysis, but I might expand to heat transfer or fluid flow.

[Anonymous No.9011285]

>>9011206
An element of the empty set.

[Anonymous No.9011460]

>>9010887

every pair of vectors in R^n are co-planar. you mean to say co-linear.

>>9010770
>does any pair of vectors really generate a 2d subspace ?)

any pair of *independent* vectors should, which is what i meant. two co-linear vectors are not a basis for a 2-d space. that's basic stuff.

in the construction for the case of 2d, once you select a pair of *linearly independent* vectors, you have to remove all other linear combinations of those vectors (the set of vectors that are co-planar to your pair). then you can repeat the process starting with the remaining vectors.


for arbitrary k, you'd take the previous collection of vectors and select k linearly independent vectors, remove all possible linear combinations, and then pick another k vectors from the remaining set. the process is repeated until you've counted everything.

for a given k, once you select the k vectors for a sub-space, you know that there are m^(k-1) remaining vectors in that subspace.

from there it should be basic counting stuff if i understand this.

[Anonymous No.9011532]

Easy challenge question: for any 3 points in the plane, not all collinear, how many lines are there that are equidistant to all 3?

[Anonymous No.9011538]

>>9011532
Hard challenge question:

Show that there exist infinitely many positive integers that are not expressible in the form [math]n^2+p[/math], where [math]n[/math] is an integer and [math]p[/math] a prime

[Anonymous No.9011553]

>>9011538
Brainlets beware: Analysis is scary tier:

Evaluate the following integral: [eqn]I=\int_0^1 \ln x\ln(1-x) dx[/eqn]

[Anonymous No.9011625]

>>9011532

in R^2?

each equidistant line must be parallel to a line drawn between two of the three points. so two points are on one side. for any selection of two points, there is one line with the same distance from the first two and the third. so [math] {a \choose b} [/math] lines?

[Anonymous No.9011630]

>>9011538
>infinitely many
No such thing.

[Anonymous No.9011639]

>>9008223
What is the best definition of an ∞-category?

[Anonymous No.9011644]

>>9011553
Extend to [math]z \in \mathbb{C}[/math] then we see that the conformal map [math]w = f(z) = \ln z[/math] maps the entire plane into the strip [math]f(\mathbb{C}) = \{z \in \mathbb{C}\mid \operatorname{Re}z \in [0,2\pi],\operatorname{Im}z \in \mathbb{R}\}[/math], which means that the preimage of the interval [math][0,2\pi][/math] is the unit circle [math]S^1 \subset \mathbb{C}[/math]. Thus we have [eqn]I_{\mathbb{C}} = \int_0^1dz \ln z \ln(1-z) = \int_{f(S^1)}dz \ln z \ln(1-z) = \int_{S^1}dz f^*(\ln z \ln (1-z)) = \int_{S^1}dz (\ln \ln z + \ln \ln (1-z)) = \int_0^{2\pi} d\phi \left(\ln(i\phi) + \ln(1-e^{i\phi})\right).[/eqn]
Pretty sure I can keep going but I got bored.

[Anonymous No.9011650]

>>9011639
>∞-category
No such thing.

[Anonymous No.9011656]

>>9011538

n^2 - (n-1)^2 = 2n-1

so the gap between squares grows linearly. isn't there also some result that states the distance between consecutive primes grows at some rate or something?

[Anonymous No.9011664]

>>9011644
>[math]\mathbb{C}[/math]
>[math]\mathbb{R}[/math]
No such thing.

[Anonymous No.9011668]

>>9011664

[Anonymous No.9011669]

>>9011656
>isn't there also some result that states the distance between consecutive primes grows at some rate or something?
Yeah. I was actually the one who discovered that.

[Anonymous No.9011671]

I didnt fail calculus 2 got a C!
yay me!
drinks are on me boys

now im worried about what comes next since i was close to failing
what could probability and statistics with prerequisite calc 2 be?

[Anonymous No.9011674]

>>9011671
>reddit frogs
Subhuman garbage is forbidden in this thread. Please refrain from posting here.

[Anonymous No.9011676]

>>9011669

don't be a smartass

[Anonymous No.9011678]

>>9011669
>Yeah. I was actually the one who discovered that.

>The more primes you have, the less new primes you need to keep making numbers

Wow, such a deep discovery. Have you checked your mail? I'm sure we already called you for your fields medal. Will you attend to the ceremony and recieve your prize, doctor?

[Anonymous No.9011679]

>>9010619
>a finite field
There is no other kind.

[Anonymous No.9011680]

>>9011674
but theres already anime pics which is the same thing

[Anonymous No.9011683]

>>9011680
Anime pics are strictly superior to reddit garbage.

[Anonymous No.9011684]

>>9011678
>The more primes you have
How many primes do you have?

[Anonymous No.9011685]

>>9011669
>discovering a result from 1931

[Anonymous No.9011687]

>>9011685
I think she's saying she was the one who discovered that back in 31.

[Anonymous No.9011688]

>>9011684
like, maybe 5 or 6 right now, my dude

[Anonymous No.9011695]

>>9011671
see >>9011674

[Anonymous No.9011698]

>>9011688
You are like a little baby. Watch this: [math] \mathbb{P} [/math]

[Anonymous No.9011701]

>>9011687
I think I'm saying you're mentally retarded for watching cartoons designed for Gook children.

[Anonymous No.9011702]

>>9011625
im assuming you mean 3, in which case correct

>>9011644
literally wrong

[Anonymous No.9011704]

>>9011701
I think your redditor kind shouldn't be posting on this website.

[Anonymous No.9011705]

>>9011656
>>9011538
hint: argue by counterexample: express p as a difference of squares

[Anonymous No.9011709]

>>9011625
>R
No such thing, anon.

[Anonymous No.9011711]

>>9011701
see >>9011674

[Anonymous No.9011720]

>>9011695
see>>9011680

[Anonymous No.9011721]

>>9011720
see >>9011683

[Anonymous No.9011730]

>>9011721
>>>/r/anime

[Anonymous No.9011732]

>>9011730
>>>/r/4chan

Your point?

[Anonymous No.9011733]

I don't get why Reddit gets all the hate when animefags are the ones spamming their shit on these threads.

[Anonymous No.9011737]

>>9011711
Redditors aren't welcome here. Plain and simple.

[Anonymous No.9011740]

>>9011733
>I don't get why Reddit gets all the hate
Subhuman filth isn't welcome in these threads.
>spamming their shit on these threads
And it will keep happening until every single subhuman redditor dies.

[Anonymous No.9011743]

>>9011705
suppose only a finite number are expressible in that form. let m be the largest integer expressible in the form

so m = n^2 + p

pick (n+1)^2 + p.

[Anonymous No.9011745]

>>9011671
You're welcome to fuck off back to >>>/g/ desu

[Anonymous No.9011750]

Holy shit can you people just stfu and do math?

[Anonymous No.9011752]

>>9011206
Isn't a basis V a linearly independent spanning set of vectors in V.

[Anonymous No.9011753]

that actually wasn't very hard

[Anonymous No.9011769]

>>9011740
>Subhuman filth isn't welcome in these threads.
Says the anime fan.
>And it will keep happening until every single subhuman redditor dies.
What did we even do to you? I come here to discuss Math. If you want to discuss anime, please go to /a/ or even join us on r/anime. I used to watch Dragon Ball when I was younger myself, but it's really kinda pathetic as you grow older.

[Anonymous No.9011773]

>>9011769
Your kind simply isn't welcome on this website.
Either use >>>/b/ or simply fuck off to your home site.
>I come here to discuss Math.
If you genuinely care about that you shouldn't be displaying your blatant redditry. Please learn how this site operates before posting.

[Anonymous No.9011774]

>>9011702
has that fag ever been right about anything?

[Anonymous No.9011779]

>>9011773
see >>9011674

[Anonymous No.9011780]

>>9011753
see >>9011752

[Anonymous No.9011783]

>>9011773
>Your kind simply isn't welcome on this website.
I'm sorry but who do you speak for? Are you representative of a group of people? Who gave you that authority?
I'm not going away, and everytime I see an off topic anime picture I will report it, and it will be deleted like it has been many times already, because 4chan, and specially /sci/, is not an anime website. Maybe it was 14 years ago. But it has long not been.

[Anonymous No.9011784]

>>9011774
see >>9011783

[Anonymous No.9011790]

>>9011783
>Who gave you that authority?
I am God on this Earth.
>I'm not going away
Good. I will keep * this thread up then.

[Anonymous No.9011794]

shit thread
/g/ is better

[Anonymous No.9011796]

>>9011783
see >>9011783

[Anonymous No.9011802]

>>9011794
Indeed. It's a good choice for subhuman redditors such as yourself.

[Anonymous No.9011806]

>>9011072
see >>9011674

[Anonymous No.9011808]

>>9011783
>because 4chan, and specially /sci/, is not an anime website
Spotted the Redditor. Your kind isn't welcome here.

[Anonymous No.9011812]

>>9011072
>not gnossiene
Brainlet af

[Anonymous No.9011817]

>>9011812
Remove yourself from this thread. Subhuman frogposting/frogreplying trash isn't welcome here.

[Anonymous No.9011818]

>>9011802
>>>/a/

[Anonymous No.9011823]

>>9011818
see >>9011802

[Anonymous No.9011830]

>>9011817
Fuck you're right I won't make that mistake again.

[Anonymous No.9011832]

>>9011818
>>>/r/videogames
>>>/r/frogs

[Anonymous No.9011833]

Anyone finds it extremely funny how neckbeard virgin weeaboos with no social skills somehow think they can boss around other users? Like nigga you can't even get laid what control do you think you have over me on an anonymous imageboard? lmao

[Anonymous No.9011835]

>>9011833
Redditry isn't welcome in these threads. Deport yourself.

[Anonymous No.9011838]

>>9011835
>Deport yourself.
Says the anti-Trump SJW.

[Anonymous No.9011844]

>>9011838
if you're on a /sci/ board and pro trump you're either here for your homework help or are trolling

[Anonymous No.9011845]

>>9011838
>reddit frogs
Remove yourself from the premises. Subhuman trash isn't welcome in these threads.

[Anonymous No.9011847]

>>9011838
>>9011844
What kind of retard would be pro-Trump when he is an Israeli puppet?

[Anonymous No.9011853]

>>9011838
Has anyone studies these frogposting animals before? I wonder what field of math could be used to help explain their utter retardation.

[Anonymous No.9011854]

Here's a confession.
I falseflag as animeposters and as Redditors, which derails the thread completely. It takes only a few posts to fuck up an entire thread.
Video related.
https://www.youtube.com/watch?v=FhYWpBIdWC8

[Anonymous No.9011857]

>>9011838
>>9011854
Redditors aren't welcome on this website. Please use >>>/b/ and or >>>/r/videogames

[Anonymous No.9011858]

>>9011854
>video games
>I """"""falseflag"""""" as Redditors
What did he mean by this?

[Anonymous No.9011860]

>>>/trash/

[Anonymous No.9011868]

>>>/trash/

[Anonymous No.9011870]

I can no longer report any more posts. This faggot actually paid money for a 4chan pass to spam the thread. Report his posts. Hopefully he gets permanently banned.

[Anonymous No.9011871]

>>9011854
Good job. I hope you realize that you're merely a pawn.

[Anonymous No.9011880]

>>9011858
>videogames
>Redditors
That's taking it too far.

[Anonymous No.9011886]

>>9011880
That is a reddit video game. It's delusional to deny this basic fact.

[Anonymous No.9011902]

>>9011886
Yeah and Redditors breathe air too.

[Anonymous No.9011905]

>>9011902
do you kiss your mom with that mouth

[Anonymous No.9011908]

>>9011902
A "reddit video game" and a "video game liked by redditors" are different things.

[Anonymous No.9011909]

>>9011908
I don't really understand what you're talking about because I don't care about Reddit, much less bronswe it to know what Reddit likes and what Reddit dislikes.

[Anonymous No.9011913]

>>9011909
>I don't care about Reddit
You should. Their kind is currently planning a war of sorts. A war on this very world.
>much less bronswe it to know what Reddit likes and what Reddit dislikes
Are you sure you are ready to post in a math thread with this low level of abstract thinking skills?

[Anonymous No.9011922]

>>9011913
>this low level of abstract thinking skills?
You just touched a nerve. You have no idea how good I am at abstracting things. I was merely pointing out how you assume I know what makes a videogame a "reddit videogame", and even after I tell you I don't know or care what reddit is about, you tell me I "should", because of wars? What?

[Anonymous No.9011926]

>>9011922
>I was merely pointing out how you assume I know what makes a videogame a "reddit videogame"
You don't need to know that. You just need to know that the two things I mentioned in my post are different.
>you tell me I "should", because of wars?
You should. Their kind is preparing a war on this world. I can tell it's not going to end well if things keep going this way.

[Anonymous No.9011932]

>>9011926
>You don't need to know that. You just need to know that the two things I mentioned in my post are different.
I never implied they aren't, I just said I don't know what the difference is. God are you retarded?
>Their kind is preparing a war on this world. I can tell it's not going to end well if things keep going this way.
??? Ok I think you're trolling.

[Anonymous No.9011954]

>>9011932
>I just said I don't know what the difference is.
Really now? Isn't it obvious?
>Ok I think you're trolling.
Excuse me?

[Anonymous No.9012199]

>physics isn't rig-

[Anonymous No.9012247]

Seeing as no one has yet solved my hard questions, here's another slightly easier one:

>Let [math]0<\epsilon<1[/math]. Prove that there are infinitely many integers [math]n[/math] such that [math]\cos n\geq 1-\epsilon[/math].

[Anonymous No.9012302]

>>9012247

if this
>>9011538
was your question, it was not very hard
>>9011743

>>9012247
>>Let 0<ϵ<1. Prove that there are infinitely many integers n such that cosn≥1−ϵ.

i guess this would be the same as proving you can always make a multiple of 2*pi arbitrarily close to an integer by increasing the multiplier.

[Anonymous No.9012304]

>>9012302
* considering only integer multipliers

[Anonymous No.9012319]

>>9012302
>>9011743
>that are not expressible in that form

>>9012302
prove it

[Anonymous No.9012373]

>>9011671
Expect continuous random variables.

[Anonymous No.9012378]

>>9012319
>prove it

is that a property of any irrational?

[Anonymous No.9012482]

>>9011743
>>9011705

suppose that m is the largest integer not expressible as n^2+p


then m^2 = n^2+p for some n and p

p = m^2 - n^2

p = (m+n)(m-n)

[Anonymous No.9012580]

so many deleted replies

[Anonymous No.9012597]

>>9012482
let's complete this

then p = m +/- n because p is prime

so that m = p +/- n

i.e. m^2 = p^2 +/- 2pn + n^2 which is not the same as n^2 + p

contradiction.

this one isn't that hard, to whomever asked the question.

[Anonymous No.9012603]

>>9011553
https://www.wolframalpha.com/input/?i=integral+from+0+to+1+lnx*ln(1-x)dx

i can safely say i wouldn't have gotten this

[Anonymous No.9012621]

>>9008699
Zero college debt high school math teacher here. I make $89k plus god tier health insurance and can retire in 20 years and get 2/3 my final salary.

I’m better at financial math than you even though I’m a brainlet by comparison.

[Anonymous No.9012646]

Whatever happened to that anon who claims to have proven RH or whatever?

[Anonymous No.9012677]

Touhou is dead and belongs in museums not on my math general.

[Anonymous No.9012684]

>>9012597

it's already a contradiction. p is supposed to be prime, so you can't put it in the form (m+n)(m-n)

[Anonymous No.9012688]

>>9008757
>. Let G be a finite group such that Aut(G) acts transitively on G\{1}. Prove that G is isomorphic to (Z/pZ)^n for a certain prime p and and a certain integer n.

could you explain some of this notation?

[dokikido No.9012698]

>>9012319
this seems related to how you can find any string in pi which Im pretty sure is an open problem

[Anonymous No.9012714]

>>9011021
What contour did you pick?
Also we could analytically continue
[eqn]\frac{1}{n!} = \frac{1}{\Gamma(n+1)} \rightarrow \frac{1}{\Gamma(z+1)} = \frac{1}{\pi}\Gamma(-z)\sin(\pi (z+1)) = \frac{1}{\pi}\sin(\pi (z+1))\int_0^\infty dt t^{-z-1}e^{-t}[/eqn]
Now the recurrence relation only holds for non-integer values of [math]z[/math] so we have to use Riemann-Stieltjes integral to pass the summation over n to an integral [math]\sum_{n=0}^{\infty} \rightarrow \int_0^\infty d[x][/math] where [math][x][/math] is the integer part of [math]x[/math].
What we have then is [eqn]
\sum_n \frac{1}{nn!} = \int_0^\infty d[x] \frac{1}{x\Gamma(x)} = \frac{1}{\pi}\int_0^\infty d[x] \frac{\sin(\pi (x+1))}{x}\int_0^\infty dt t^{-x-1}e^{-t} = \frac{1}{\pi}\int_0^\infty dte^{-t} \int_0^\infty d[x]\frac{\sin(\pi (x+1))}{x} t^{-x-1} [/eqn]
What you can do is then divide up [math][x] = x - (x)[/math] where [math](x)[/math] is the fractional part of [math]x[/math] and then do the integral with [math]x[/math] first.
Good luck.

[Anonymous No.9012933]

>>9012688
Sure:
. Aut(G) is the set of automorphisms of G, ie. the set of isomorphisms (invertible morphisms) from G to itself. It forms a group under composition.
. Saying that Aut(G) acts transitively on G\{1} means that, for any two elements x,y in G different from the unit element 1, we can find an automorphism g of G such that g(x) = y.
. (Z/pZ) is the group of integers modulo p. (Z/pZ)^n is the direct product of n copies of Z/pZ, ie. it is the set of sequences of n elements of Z/pZ with addition defined componentwise (it is still a group).

[Anonymous No.9012954]

>>9012597
>>9012482
this doesnt prove anything

this just shows that m^2 cannot be expressed in the form n^2+p for the SAME n and p, but there might exist some other l and q such that m^2=l^2+q

[Anonymous No.9012965]

>>9011705
>>9011538
I'm just gonna answer this one cos retards cant read or understand the question

Consider integers of the form [math](3m+2)^2,
m=1,2,...[/math].

Suppose that [math](3m+2)^2=n^2+p[/math] for [math]p[/math] prime and [math]n\geq 1[/math]. Then [math]p=(3m+2-n)(3m+2+n)[/math].

Since [math]p[/math] is prime and [math]0<3m+2-n<3m+2+n[/math], we must have [math]3m+2-n=1, \;3m+2+n=p[/math].

Solving for [math]m[/math] and [math]n[/math], we get [math]m=\frac{p-3}{6},\; n=\frac{p-1}{2}[/math], so that [math]p=3(2m+1) [/math]. As [math]p[/math] is prime, we must have [math]m=0[/math], which contradicts [math]m\geq 1[/math].

[Anonymous No.9012966]

>>9012646
I'm still here a couple times a day to see if anyone solved any of the problems posted or if they need some hints. And I didn't claim to have proved the Riemann hypothesis, I claimed to have found a way to prove that it is false using sheaves in [math] \mathbb{R}^3 [/math] which would allow me to construct whole regions with non-trivial zeros. It's not definitive yet and I may turn out to be completely wrong. I'm still working on it.
If I can get anything substantial out of it by the end of summer I'll write up an article on my method, irrespective of any conclusive result on the RH.

[Anonymous No.9012983]

Beside bruteforce, how could I approximate n when given M?

[Anonymous No.9012987]

>>9012983
Fourier series.

[Anonymous No.9012990]

>>9012987
I don't see how, care to explain please?

[Anonymous No.9013001]

https://arxiv.org/abs/1707.00282
Might extend CFT techniques to supersymmetry.
>>9012966
Sounds interesting. I await your progress.

[Anonymous No.9013011]

>>9012983
We can write [math] M = \sum_{k=1}^{\lfloor \log_5 n \rfloor } \frac{n}{5^k} + \epsilon_n \log_5(n) [/math] for some [math]\epsilon_n \in [0,1)[/math].
Simplifying, we get [math]M = \frac{n}{4} - \frac{n}{4\cdot 5^{\lfloor \log_5 n \rfloor}} + \epsilon_n \log_5(n)[/math]. Finally, since [math] 1 \le \frac{n}{4\cdot 5^{\lfloor \log_5 n \rfloor}} < 5[/math], we get [eqn]\frac{n}{4} - \frac{5}{4} < M < \frac{n}{4} - \frac{1}{4} + \log_5(n)[/eqn]

[Anonymous No.9013032]

>>9011553
First use power series expansion on ln(1-x) (legit since we are integrating over [0,1) ):
[eqn]I = \int_0^1 \left(\sum_{n \ge 1} \frac{(-\ln x) x^n}{n}\right) dx[/eqn]
We are integrating a nonnegative function so we may use Tonelli's theorem:
[eqn]I = -\sum_{n \ge 1} \frac{1}{n} \int_0^1 x^n \ln x dx[/eqn]
Now, we compute the inner integral separately.
Integrating by parts, we get:
[eqn]\int_0^1 x^n \ln x = [x^n(x\ln x - x)]_0^1 - n\int_0^1 x^{n-1}(x \ln x - x) dx = -1 - n \int_0^1 (x^n \ln x - x^n) dx[/eqn]
Putting two and two together, we realize that the same integral appears on both sides:
[eqn](n+1)\int_0^1 x^n \ln x dx = -1 + n\int_0^1 x^n = -\frac{1}{n+1}[/eqn]
Finally:
[eqn]\int_0^1 x^n \ln x dx = -\frac{1}{(n+1)^2[/eqn].
Reinjecting in the previous expression, we get:
[eqn]I = \sum_{n \ge 1} \frac{1}{n(n+1)^2} = \sum_{n \ge 1} \left(\frac{1}{n(n+1)} - \frac{1}{(n+1)^2}\right) = 2 - \frac{\pi^2}{6}[/eqn]

[Anonymous No.9013035]

>>9013032
beautiful

[Anonymous No.9013637]

Mathematics majors have the highest average age when it comes to losing their virginity. Why are mathematicians so pure?

[Anonymous No.9013648]

>>9013637
Wow, I never thought of life like that.
Using age of the first time you had sex as some form of measurement of a person.
I feel so enlightened.

But srs, what makes someone who lost there virginity at 16 so different than someone at 18?

[Anonymous No.9013655]

>>9012966
>prove that it is false
Do just want to set the number theory on fire or what? How many thousands of papers would just get BTFO'd at once?

[Anonymous No.9013719]

>>9013648
Found the soiled one.

[Anonymous No.9013729]

>>9013637
>Mathematics majors have the highest average age when it comes to losing their virginity.
Really? There were around 10% girls in the math classes of my old undergrad and 1% girls in the physics classes.
Really makes you think doesn't it?

[Anonymous No.9013730]

>>9013637
Because they're losers.
It isn't a surprise they're also anime faggots.

[Anonymous No.9013787]

>>9013729
The key to your puzzlement is that you're not obliged to have intercourse with the members of the concave sex attending your classes.

[Anonymous No.9013789]

>>9013730
Oversexed math majors turn into philosophy majors which turn into baristas.

Nofap masterrace.

t. Former neet Phil major

[Anonymous No.9013790]

http://www.gnxp.com/blog/2007/04/intercourse-and-intelligence.php

[Anonymous No.9013796]

>>9013787
>concave sex

[Anonymous No.9013898]

One requirement to graduate from my uni is to take 6 analysis classes starting right away when you get there as a freshman.
I'm starting in August !5th but in reality I'm not super good with proofs and I can't tackle Baby Rudin.
How fucked am I and what should I do to avoid getting buttfucked when I get there?

[Anonymous No.9013921]

>>9013898
holy fuck thats a lot of calculi

[Anonymous No.9013928]

>>9013921
Ik, intro to RA, more RA the next semester, Measure Theory, Complex Analysis and finally Functional Analysis

[Anonymous No.9013973]

>>9013787
Exactly, go pump and dump a bunch of slutty gender studies majors who aren't going to amount to anything anyway.

You don't have sex with the female math/physics majors, those are the girls you marry.

[Anonymous No.9013977]

>>9013898
>>9013928
Where in the hell do you go, ENS? Cause if it's measure theory at the level of Folland then that's not typically an undergrad class. If you want to get better at proofs there are books like polya that can help you, after that Tao is pretty easy to handle, you could also do rudin just make sure to thoroughly understand the proofs, keep note of how the theorems are used, the techniques used there will be the same techniques used to solve the problems. After that Barry Simon's new 3500 page analysis series covers all the analysis you'll ever need, even basic real/complex analysis at very easy (but in depth) level

[Anonymous No.9014070]

>>9013977
I don't know for sure how in depth the courses are going to be, I just spoke to some other students I met while I was looking the uni.
I'm not going to ENS but I applied for the top program in my country without hope of getting accepted but somehow I passed the examinations.
Quite a few from here have been accepted into PhD programs at ENS, Polytechnique, Princeton
I feel I'm not smart enough to be there ;_;

[Anonymous No.9014100]

>>9014070
Classic case of impostor syndrome anon, look, if you got in that means chances are you're good enough, provided you keep diligently working to improve, even if the examination was a fluke you can improve. My advice would be to email the instructor of the course and ask what sort of material will be covered in the class a few months prior so you can prepare, that way at least even if the pace would normally be too much for you you'll be able to do well in the class. Plus don't stress about some students going to Princeton for grad school, those kind of students are at every school, they're also usually the most passionate and hardworking individuals there, if you work just as hard you'll probably also get pretty far. it's been working for me. If you really find that proofs aren't your thing I'd also suggest for you to check and see if your uni has any proof methods courses and try and read the material for that class. If it doesn't there are other universities with proof courses and look at the books, notes, and problems sets provided by the syllabus and website like

http://www.math.ucla.edu/~heilman/teachingMPP.html
https://www.math.princeton.edu/undergraduate/course/mat214/
https://math.berkeley.edu/~hutching/teach/proofs.pdf

These may also help
https://mathoverflow.net/questions/62629/textbook-recommendations-for-undergraduate-proof-writing-class
https://math.stackexchange.com/questions/38854/basic-book-about-mathematical-proofs
https://math.stackexchange.com/questions/166603/book-for-proof-writing
https://math.stackexchange.com/questions/62212/good-book-for-self-study-of-a-first-course-in-real-analysis

There's more stuff out there as well to learn proofs or for easy analysis texts

[Anonymous No.9014470]

Algebraic geometry is the best!

[Anonymous No.9014580]

>>9014470
but what is it?

[Anonymous No.9014649]

>>9013977
Not him, but I had 7 obligatory analysis courses during my undergrad: 3 general calculus/mathematical analysis courses, a real analysis course, a complex analysis course, a functional analysis course and a measure theory course.

I imagine it's the same in every other country that follows the French model..
The difference is made up by the fact that you get a lot less elective courses. Overall you finish your undergrad with a more rounded overview of mathematics compared to American universities.

[Anonymous No.9014652]

>>9014649
>7 obligatory analysis courses
Correction, 8 courses. I also had to take an obligatory numerical analysis course.

[Anonymous No.9014657]

>>9014649
What uni do you attend? We might be going to the same uni

[Anonymous No.9014658]

>>9014649
>>9014652
By "3 general calculus" do you mean at the level of american uni calculus? Also what level for the real, complex, functional, numerical, and measure theory courses (like, what kind of books? Folland? Rudin? Conway? Ahlfors)? Just curious. I actually really love the french style of teaching mathematics, I was really mad when I found out that ENS has a program for international 2nd/3rd year students to apply to study there and I was half way through my 3rd year.

[Anonymous No.9014682]

>>9014658
>By "3 general calculus" do you mean at the level of american uni calculus?
If the calculus courses from American universities available on youtube are any indication, my courses were a lot more theoretical. Slightly higher level I'd say.
>>9014657
Unlikely. I graduated in 2012.

[Anonymous No.9014885]

How many more decades/centuries until we have even a moderate understanding of L-functions?

[Anonymous No.9014928]

>ENS
there are people here who seriously think they had a shot at getting in?
I'm impressed. you're either really smart or really gutsy.
it's by far the most selective university in the world.
MIT, Princeton, Harvard, Cambridge you name it: these are brainlet-tier compared to ENS. is doing research as an undergrad mandatory at any of those other schools? no? if you want to get your diploma from ENS you'll have to publish as an undergrad.
and, since you're expected to publish, you're also paid a monthly salary (on paper you're actually an employee). or in short, the ENS math department treats its undergrads as if they were doctoral students.
unsurprisingly, there are less than 50 students per year in the math department.

It's not for nothing that it has the highest number of physics nobel laureates and Fields medalist per alumnus in the world. seriously, the ENS is scary.

[Anonymous No.9014945]

>>9013011
OK, but doesn't that give me an approximation of M knowing n? What I'm looking for is n = f(M).
Of course some information is lost due to the flooring, but there may be a way to extract a value of n +/- 2.

For instance, with n = 256, we have M = 63. So we'd have f(63) = 257 +/- 2.

[Anonymous No.9014969]

>>9014928
I'm well aware how difficult ENS is, people always talk about math 55 without realizing that every course at ENS is more difficult than that class, but that sort of difficulty makes it very attractive, at least to me, since I really love spending a solid 7-8 hours a day doing math the prospect of being taught by those who have a deep understanding and love for field while also being surrounded by similarly driven people, being pushed to excel, how does it not sound exciting? The idea of publishing doesn't turn me off, if anything that makes it even better, I've been working as a researcher for about a year and a half and have actually been able to publish results in pretty good journals, is any of it at the level of ENS students? Probably not, but I still imagine it to be quite an amazing place nonetheless, and somewhere I'd like to visit, at least once, just to see the place where great talent is breed.

[Anonymous No.9014970]

>>9014945
Continuing from
>>9012987
>>9012990
You'll have to go in circles for a bit.
[math] \lfloor \frac{n}{5^i} \rfloor = \frac{n}{5^i} - frac(\frac{n}{5^i}) [/math]
The trick is understanding that the fractional part of a number is a periodic function, and any real periodic function can be expressed as a trigonometric Fourier series.

You rewrite [math] M [/math] in terms of that series, and invert it the result to obtain [math] n [/math] in terms of [math] M [/math].

[Anonymous No.9014998]

>>9014970
>tfw Gibb's phenomenon

[Anonymous No.9014999]

>>9014928
>if you want to get your diploma from ENS you'll have to publish as an undergrad.
No you don't (besides, it doesn't deliver a diploma anyway). Students are required to study some advanced topic in-depth in their first year there and produce some sort of synthesis, but it's not like actual research. I mean it's really a great school but there's no need to spread myths.
It is also not really an undergraduate uni. They recruit their students at the end of the undergrad cycle and teach them everything they have to know in a semester or so in order to move on to the grad classes as soon as possible. It really is conceived as a grad school that happens to have undergrads attending.

[Anonymous No.9015011]

>>9014999
>They recruit their students at the end of the undergrad cycle
This is not true. Some of the international students attending have already finished 1 or 2 years as undergrads somewhere else, but as a rule you only need to have finished high school (most students have attended a CPGE after high school though).
>It really is conceived as a grad school that happens to have undergrads attending.
This is true and exactly my point, in terms of intellectual intensity, otherwise it's an undergraduate. The ENS also has a graduate school for masters and doctoral students.
>it doesn't deliver a diploma
This is false.
>Students are required to study some advanced topic in-depth in their first year there and produce some sort of synthesis
I'm talking about the whole cycle, not just the first year.
>it's not like actual research
Actually, it is.

[Anonymous No.9015018]

>>9014998
Here that's only a problem when n is divisible by 5, which you can treat separately.

[Anonymous No.9015068]

>>9013637
>Why are mathematicians so pure?
Nice one. I'm going to use this next time someone asks me why I don't have a girlfriend.

[Anonymous No.9015108]

>>9013637
To master the topics of mathematics one must not waste his libido, the main source of willpower into vain pleasure games like sex. Is the power of virginity that gives us the drive to succeed.

[Anonymous No.9015113]

How do you know when to be really satisfied with a proof?

https://en.wikipedia.org/wiki/Grunwald%E2%80%93Wang_theorem

>Grunwald (1933), a student of Hasse, gave an incorrect proof of the erroneous statement that an element in a number field is an nth power if it is an nth power locally almost everywhere. Whaples (1942) gave another incorrect proof of this incorrect statement. However Wang (1948) discovered the following counter-example: 16 is a p-adic 8th power for all odd primes p, but is not a rational or 2-adic 8th power.

>Some days later I was with Artin in his office when Wang appeared. He said he had a counterexample to a lemma which had been used in the proof. An hour or two later, he produced a counterexample to the theorem itself... Of course he [Artin] was astonished, as were all of us students, that a famous theorem with two published proofs, one of which we had all heard in the seminar without our noticing anything, could be wrong. - John Tate

[Anonymous No.9015127]

Consider x = sqrt(2)
Therefore x^2 = 2 and (x^2) - 2 = 0
According to the rational root theorem, this has the following possible solutions: 1, -1, 2, -2
None of those satisfy the equation above, therefore the sqrt(2) is irrational.
Is this a legitimate proof that sqrt(2) is irrational or am I making a weird assumption?

[Anonymous No.9015136]

>>9015127
>Is this a legitimate proof that sqrt(2) is irrational
yes

[Anonymous No.9015147]

>>9015136
How come this method isn't used to prove that a root is irrational?

[Anonymous No.9015154]

>>9015147
>How come this method isn't used to prove that a root is irrational?
But you just used it?

You can prove it from scratch without appealing to other theorems though, which is probably why it's not the most common proof

[Anonymous No.9015164]

>>9015154
I see. Thanks for the clarification.

[Anonymous No.9015297]

>>9015011
>This is not true.
Dude I study at an ENS (not *the* ENS, but I also know a bunch of people there) and I can tell you no student there got in after high school. There have been exceptional instances of extremely bright students who got in after a year of CPGE, but it's a one in a decade type of thing. The curriculum is clearly designed for people who already have a solid grounding in linear and bilinear algebra, real analysis, topology and ODE at the level expected of the best CPGE students. It's not just a matter of being bright enough, it's also about knowledge and technique. Of course, nothing keeps you legally from taking the entrance exam at the end of high school, but chances are you wouldn't even understand what it's about.

>otherwise it's an undergraduate.
I'm not sure I expressed myself very clearly but what I meant is that it really is a grad school (especially at the ENS Paris, where most students start their masters in their first year).

>This is false
Yeah, not sure about that one, but at least until very recently it didn't.

>Actually, it is.
Okay, my bad, that's right. But my point was that you don't *have to* produce original research in order to graduate. Some students might, it might even be typical for a cohort to have a bunch of its students to produce original research by graduation, but it's certainly not a requirement.

[Anonymous No.9015340]

http://empslocal.ex.ac.uk/people/staff/mrwatkin//zeta/physics.htm
>number theory and physics archive

[Anonymous No.9015446]

>>9015297
>I'm not sure I expressed myself very clearly but what I meant is that it really is a grad school
No. Formally it is an undergraduate program. The Licence program is equivalent to a Bachelor's degree within the Bologna system. It's just way more advanced and geared on research from the get go.
>I can tell you no student there got in after high school.
I know that. Not of those currently enrolled in any case.

[Anonymous No.9015824]

>>9015113
>How do you know when to be really satisfied with a proof?
When you understand it.

[Anonymous No.9015941]

*sips tea*

http://www.math.harvard.edu/~gaitsgde/GL/

[Anonymous No.9015954]

>>9015941
>Not reading Lurie's thesis
Ya gotta read the classics anon

[Anonymous No.9016225]

Any undergrads in REUs or summer seminars here? I've got one lined up in August but I have no idea what to expect.

[Anonymous No.9016235]

>>9016225
I'm going to one about Toric Varieties

[Anonymous No.9016236]

>>9015954
Lurie is not the only approach to derived geometry

[Anonymous No.9016237]

>>9008677
I chuckled controllably while reading this

[Anonymous No.9016255]

>>9016235
>algebraic geometry

Been trying to avoid that for as long as possible because I'm a brainlet. Mine's on knotted surfaces in 4-space.

[Anonymous No.9016258]

>>9016255
Toric geometry is a bit different from standard algebraic geometry. Very combinatorial.

[Anonymous No.9016308]

>>9008223
I'm not very good at a field theory, is the algebraic closure of a field an extension of its perfect closure?

[Anonymous No.9016465]

>>9016308
Yes. If your field has characteristic 0, then it's already perfect, hence it is its own perfect closure, hence the claim is obviously true.
Otherwise, you have to realize that the perfect closure is an algebraic extension (you add all p-th roots, then do it again, and again, infinitely many times and taking the increasing union, you get the perfect closure, which is a compositum of algebraic extensions)

[Anonymous No.9016679]

>>9016255
What were the prereqs for your REU?

[Anonymous No.9016773]

Denote by [math]\Delta X[/math] the set of vertices of a surface [math]X \in \mathbb{R}^3[/math], by [math]\sigma(X)[/math] the open solid for which [math]X[/math] is a surface and convsersely by [math]\partial Y[/math] the surface of a solid [math]Y[/math].

Consider a regular polyhedron [math]\{p, q\}[/math] and its reciprocal (dual) with respect to the midsphere which we will denote by [math]\mathbf{P'}_{0}[/math], in this case [math]\{q, p\}[/math]. Let [math]\mathbf{P}_{0} := \sigma (\{p, q\}[/math] and [math]\mathbf{P}_{0}' := \sigma (\{p, q\}[/math]. Taking [math]\mathbf{P}_{0} \cap \mathbf{P}_{0}'[/math] one obtains a quasi-regular polyhedral solid.

Suppose we continue this process, that is, [math]\mathbf{P}_{n+1} = M ( \mathbf{P}_{n} \cap \mathbf{P}_{n}' )[/math] for every [math]n \in \mathbb{N}[/math], but where [math]M > 0[/math] dilutes each [math]P_{n+1}[/math] such that it is tangent to the same midsphere as of [math]P_{n}[/math], and by induction, of [math]P_{0}[/math]. What is [math]\Delta ( \partial \bigcap_{n \in \mathbb{N}} P_{n} )[/math]?

[Anonymous No.9016779]

>>9016773
(Ignore the "which we will denote by [math]P_0'[/math]" part)

[Anonymous No.9016782]

EUDOXUS > EUCLID > ARCHIMEDES

WHEN WILL YOU GUYS LEARN!

[Anonymous No.9016815]

>>9016773
>[math]\mathbb{R}[/math]
No such thing, anon.

[Anonymous No.9016820]

>>9015824
So you're never satisfied with a single proof?

[Anonymous No.9016852]

>>9016820
Yeah but I am satisfied with multiple proofs.

[Anonymous No.9016859]

>>9012646
Why would anyone claim to have proven something false?

[Anonymous No.9016880]

>>9008757
>[math]\mathbb{R}[/math]
Anon, there is no such thing.

[Anonymous No.9016899]

>>9013655
Maybe they'll just find a weaker but true form strong enough not to obliterate countless well-established theorems?

[Anonymous No.9016911]

>>9016899
>well-established theorems
How can these """theorems""" be ""well-established"" if the Riemann hypothesis is obviously false?

[Anonymous No.9016930]

>>9008757
If i only know how to do adding and subtracing and a little multiplying how long will it take me to do these kind of problems?

[Anonymous No.9016940]

>>9016930
[math]|\mathbb{R}|[/math] seconds

[Anonymous No.9016948]

>>9016940
>[math]\mathbb{R}[/math]
No such thing.

[Anonymous No.9016952]

>>9016911
clearly it's not obviously false, even if it turns out to be false

[Anonymous No.9016955]

>>9016952
It's actually pretty obvious if you think about it. A lot of people already know, it's just that nobody has bothered to write it down yet.

[Anonymous No.9016956]

>The axioms of a 2-DMF's and rational 2-DMF's look pretty complicated. It is by no means clear that they define interesting objects worth any serious attention.
Top kek.

[Anonymous No.9016964]

>>9016955
[citation needed]

[Anonymous No.9016968]

>>9016964
No one has bothered to write it down. We're waiting for the brainlet who thinks he's the first one to solve it.

[Anonymous No.9016970]

>>9016956
>Top kek.
Kill yourself.
>>>/b/

[Anonymous No.9016971]

what is math even good for?

[Anonymous No.9016975]

>>9016970
Calm down autismo.

[Anonymous No.9016977]

is it true that 23 is a special number?

[Anonymous No.9016979]

>>9016977
Yes.
4,8,15,16,23,42 are all cursed numbers.

[Anonymous No.9016984]

>>9016971
absolutely nothing

[Anonymous No.9016991]

>>9016979
Wow those are all Numberwang.

[Anonymous No.9016993]

does gematria count as math?

[Anonymous No.9016998]

>>9016968
can you stop being a fucking gay retard niggerfaggot for a second

[Anonymous No.9017008]

>>9016975
>reddit frogs
Kill yourself, retard.
>>>/b/

[Anonymous No.9017027]

>>9014970
Thanks, I'm starting to understand where this is going.

Isn't it a problem that [math] frac(\frac{n}{5^i}) [/math] will always be in {0, 0.2, 0.4, 0.6, 0.8}? Is that periodic enough?

(I'm obviously not very fluent in math yet, but this can be fixed)

[Anonymous No.9017032]

>>9017027
>but this can be fixed
Probably not.

[Anonymous No.9017037]

>>9017032
R E K T

>https://en.wikipedia.org/wiki/List_of_savage_centers_in_the_Savage_States

r/bestof here we come!

[Anonymous No.9017039]

>>9017037
>R E K T
>r/bestof
>>>/b/

[Anonymous No.9017051]

>>9017008

[Anonymous No.9017054]

>>9017051
see >>9017008

[Anonymous No.9017077]

what books do i need to read to understand this?

currently reading Elementary Lingear Algebra, Discrete Mathematics and Intro to Abstract Algebra. would into to number theory be needed too?

[Anonymous No.9017081]

>>9017077
some algebraic number theory wouldn't hurt

eisenbud's commutative algebra is literally designed to cover the algebra background for hartshorne

[Anonymous No.9017097]

>>9017054
I'm not familiar with the site, what other memes are from reddit?

[Anonymous No.9017098]

>>9017077
Why do you want to ? Did you fall for the hype as well ?
Anyway, you will need some (but that much) topology and a lot of commutative algebra to understand the arguments. To understand the motivation, you might want to read a book on Riemann surfaces or algebraic number theory concurrently

[Anonymous No.9017104]

>>9017097
see >>9017008

[Anonymous No.9017108]

>>9017081
oh i was talking about like basic number theory, like Elementary Number Theory: Primes, Congruences, and Secrets. i'll look into eisenbud's commutative algebra though. im only a 1st year so my current knowledge is fairly low.
>>9017098
yeah pretty much. it seems pretty popular among grad students and im not a math major, but i wanted to get my mental faculties in order to grasp gradual level concepts pertaining to algebra and some implementations of dedekind cuts to it possibly.

[Anonymous No.9017112]

>>9017108
if you want the ultimate babby-tier AG book that you could already start working through, take a look at pic related

[Anonymous No.9017116]

>>9017112
thanks i appreciate it. is it enough that i know calculus I and some linear and discrete (relations,induction)

[Anonymous No.9017119]

>>9017116
for the start of the book at least, yes. whatever else you're missing is introduced through the text so it's pretty self-contained (it's on libgen too if you want to dl it)

[Anonymous No.9017125]

>>9017119
yeah that's where i got it. it was just a regular version not the late draft. is there a big difference?

[Anonymous No.9017128]

>>9017125
>is there a big difference?
probably not (i used the regular version)

[Anonymous No.9017130]

>>9017077
Just use Cox lmao

[Anonymous No.9017139]

>>9017130
?

[Anonymous No.9017195]

>>9017139
Maybe he means "Ideals, varieties and algorithms" idk

[Anonymous No.9017200]

>>9017195
oh wait he also has a book "Using Algebraic Geometry" which is probably more suited to the topic at hand

[Anonymous No.9017502]

>>9017077
Ravi Vakil's online notes are very good as well, you might want to try them out, they're free online here http://math.stanford.edu/~vakil/216blog/index.html

[Anonymous No.9017540]

what math books make for comfy reads?

pic related

[Anonymous No.9017542]

>hey

[Anonymous No.9017543]

>always wanted to math
>same with my friend
>doing soft dev as a backup plan
>get internship in big tech company
>when i say i am gonna be a math major everybody laughs but as soon as i am also focusing on soft dev i get "good thinking"
>wtf why is this happening
>go back to school
> friend is still working on math degree.
> i take more soft dev oriented classes as well as upper math classes
>time to decide to do grad or job
> my grades are phenomenal and i have professor recs but i have no money.
> i have a gf and need money to establish myself
>best friend is in same situation
> i decide to look for jobs he goes to grad school
>calls me a brainlet pussy
>5 years later
>senior engineer with 6 dolalrs figures
>wasnt easy
>married to gf
>have nice car and nice house in nice city
>go to school to apply for masters
>find friend he doesnt say hi.
>find out through people her gf broke up with him and he has free college but does not really life.
>barely any money left after fellowships and scholarships
>he works at burger king ad a side job
>finally talks to me
> he says he is about to get his phd
>but he has to wait more years to get tenure
>calls me a quitter
>i ride away in my 2017 susuki
>he walks home in the rain
lmao

[Anonymous No.9017558]

>>9017077
All you need is basic Topology and Commutative Algebra.

Atiyah-MacDonald is good resource on commutative algebra.

[Anonymous No.9017574]

>>9017543
> he says he is about to get his phd
Nice! Send him my regards next time you meet him

[Anonymous No.9017582]

When is it /too late/? I'm 22 and don't know a lick of real anal yet, and won't graduate until 24-25. I've recently began studying math in my liesure though, and enjoying it, so I expedct I will be vastly ahead of my classmates who only studied the required material. I know my only chance of making it is to double, or even triple, down on my study time and intensity.

Will I ever get live the /comfy/ life of Perlememe, with my time spent mainly sutdying?

[Anonymous No.9017586]

>>9017582
Forgot pic.

I know I won't ever be as recognized, but it's the lifestyle I'm after.

[Anonymous No.9017604]

>>9017543
Your friend sounds like my type of guy. I'd definitely do hormone therapy and chop my dick off for him.

[Anonymous No.9017609]

>>9017582
>>9017586
It's never too late to become a bohemiathematician. Come, join us in the Kingdom of Mathematical Heaven!

[Anonymous No.9017623]

>>9017582
if u havent finished real analysis and algebraic structures by sophomore year with an A, you ll just be a waste of space in th4 math world

[Anonymous No.9017624]

>>9017604
>>9017574
yeah he is fun yo hang around. always acting nice. He showed me how my life would have evolved if i had chosen to go with what i love rather than money.i left 100 dollars on his doorstep at the dorms he lives. Hope he is able to eat something now.

[Anonymous No.9017626]

>>9017623
The way I read his posts, he doesn't seem to be looking to become a professional mathematician.

[Anonymous No.9017630]

>>9017626
so? why do any math if you cant dominatr the most basic concepts in undergrad?

[Anonymous No.9017642]

>>9017630
For the pleasure of it. Every chunk of math you understand is a message from God. Not everything needs to be a contest. Especially not math. God has enough love for everybody, the extent of His Words is vast and deep.

[Anonymous No.9017643]

>>9017604
And here I was thinking the math general was full of autists like me but the anime posters are just sexually roleplaying homos....
Just another day in my life.

[Anonymous No.9017658]

>>9017643
>he uses the term 'autism' ironically

[Anonymous No.9017665]

>>9017658
Do you think you know what true autism is about?
When was the last time you suddenly started rolling on the floor trashing yourself out so much your mother had to help stop you from hurting yourself?

[Anonymous No.9017672]

>>9017665
You're not autistic. You're an attention whore.
Only replying since the thread is close to reaching bump limit.

[Anonymous No.9017674]

>>9017643
>he hasnt realized anyone that likes math is the most unlikable person
face the truth now and save yourself soem headdaches

[Anonymous No.9017676]

>>9017672
No, you're an idiot who uses the term ironically ironically. And it is funny to read this coming from someone who was playing with avatars just hours ago, and also misusing the quotation function.

[Anonymous No.9017679]

>>9017676
Here's your (you).
(I never avatarfag.)

[Anonymous No.9017681]

>>9017642
Ramanujan is that you?
Anyway what you said is beautiful.
Wish i could IM you or contacr you somehow. I need guidance. I am lost

[Anonymous No.9017684]

None of you are alltists, because alltists don't recognize they're alltists. It's usually politically motivated idiots who get into this kind of "i have a genuine mental condition" "no i".

[Anonymous No.9017687]

>>9017672
>>9017658
Do you have autism?

[Anonymous No.9017689]

>>9017684
the fuck are you talking about

[Anonymous No.9017691]

>>9017689
I want answers.

[Anonymous No.9017692]

>>9017623
So what, if I'm off your arbitrary schedule by 365 days I'm screwed? I'm positive I'll get an A in that class, I just haven't taken it yet.

>>9017626
All I want is to be able to study all day. Is that being a "professional" mathematician? Or is that being a hobbyist mathematician?

[Anonymous No.9017696]

>>9017672
https://www.youtube.com/watch?v=yTU8WbTbZMI
Does this kid look like an attention whore to you?
Literally sperging out is one of the symptoms.

[Anonymous No.9017698]

>>9017687
I'm just going to recycle what I said in another thread:

There is no such thing as autism. It's an outlier phenotype where certain traits are pushed to extremes. To say there is something sui generis about people with "autism" is the same as saying there is something sui generis about very tall people, or very fast people, or people with very big hands and so on. Autism is nothing like gigantism even.
Autism is largely not functionally impairing except when it is "co-morbid" with a low IQ, suggesting that the impairment autistics suffer is not due to autism.

[Anonymous No.9017700]

>>9017696
He looks like a retard.

[Anonymous No.9017703]

>>9017700
Just like you then.

[Anonymous No.9017705]

>>9017698
Answer the question. Why are you avoiding it?

[Anonymous No.9017712]

>>9017692
lmao u ll be nothin in math. NOTHiNG. I alreafy did grad courses in sophomore.

[Anonymous No.9017719]

>>9017705
I already answered. There is no such thing as autism. I am merely extremely introverted, extremely disagreeable, extremely curious, and mildly neurotic.

[Anonymous No.9017729]

>>9017719
Nice blog.
Where can I subscribe?

[Anonymous No.9017732]

http://escholarship.org/uc/item/1zk1g4c0#page-1

"Research suggests studying personalities of individuals with Autism Spectrum Disorder (ASD) could give insight into the heterogeneity that exists within ASD. The present study aimed to: (1) determine the extent to which the Five Factor Model of Personality (FFM) and its facets account for variability in ASD symptomatology (2) verify differences in average FFM personality profiles of adults with and without ASD and (3) to identify distinct behavioral phenotypes that exist within ASD. A sample of 828 adults completed an online survey consisting of an autism diagnostic questionnaire (RAADS-R) and an FFM personality questionnaire (IPIP-NEO-120). Results indicate that IPIP-NEO-120 facet scores account for 70% of the variance in RAADS-R scores. Neuroticism positively correlated with RAADS-R scores, while Extraversion, Openness to experience, Agreeableness, and Conscientiousness negatively correlated with RAADS-R scores. In addition, four distinct FFM personality subtypes emerged within adults with ASD based on k-means cluster analysis."

>Results indicate that IPIP-NEO-120 facet scores account for 70% of the variance in RAADS-R scores.

[Anonymous No.9017735]

>online survey
Yeah because everyone is so honest with themselves on those online tests. They're really reliable, and it is definitely worth the risk basing serious medical research on what someone you don't know you can trust tells you on a report.

[Anonymous No.9017742]

>>9017735
There is plenty of corroborating research. Baron-Cohen is increasingly leaning in the same direction. Help put a nail in the coffin of the autism myth: https://maths.autismresearchcentre.net/

[Anonymous No.9017749]

>>9017719
It says here that it deeply frustrates you not having an identity. You wish you were given the right directions to be yourself, but you don't know what to do with your life.

[Anonymous No.9017784]

>>9017712
k well I'll be doing them junior/senior, and then I'll surpass you a couple years after that,

[Anonymous No.9017792]

>>9017543
>>9017658
>>9017674
Who are you quoting?

[Anonymous No.9017793]

>>9017784
no you wont i know your kind. the most math you ll ever do is intro to real analysis. You already have a bad impression in the math community

[Anonymous No.9017817]

>>9017543
Notice how he haven't said even one thing about his job.
>tfw his job sucks so much that he has to shitpost on a Papua New Guinean goat milking forum to feel better about his life
Pretty sad actually.

[Anonymous No.9017833]

new

>>9017830

[Anonymous No.9017840]

>>9017792
go back to >>>/jp/

[Anonymous No.9017857]

>>9017817
>post mentions soft dev job
>hurr he isnt wastin his life in academia he sad not like me
not him but
You ll never become a successful math phd

[Anonymous No.9017865]

>>9017793
lol ur a silly goose anon. I'm going to graduate with a BS in pure math, of course I'm going to do more math tan real anal. And, not that I should feed the trolls, but, I have no impression in the math community right now, but hope to have a good one if I can be a research assistant junior/senior year .

[Anonymous No.9017867]

>>9017857
Do you not know what "about" means?