/mg/ - /mathematics general/

[Anonymous No.12064914]

Talk math
Archived edition
Previous - >>12051256

[Anonymous No.12064923]

earlier >>12064910

[Anonymous No.12064924]

>>12064914
math is boring

[Anonymous No.12064935]

>Elliptic Curves

[Anonymous No.12064938]

>>12064923
Rip to you, but this thread is different

[Anonymous No.12064941]

>>12064935
based

[Anonymous No.12064944]

>>12064914
LOW IQ BRAINLETS CANT SOLVE

[Anonymous No.12064947]

>>12064944
Bro this isn't math, please post on topic. Nice dubs tho

[Anonymous No.12064957]

>>12064947
If you can't solve it you're retarded and shouldn't be in math. Try the rocketry general, maybe engineering is more your speed

[Anonymous No.12064963]

>>12064924

coming back to Bolzano-Weierstrass

In my experience, if you hand-wave to undergrats they start thinking math is a shady, recklessness hand-waving.

Math is in general fascinating by being overdosed, taught in an inappropriate way, or a level to high or to low can sure be boring as hell.

[Anonymous No.12064966]

>>12064963
I was just about to make a post saying that this is a beautiful theorem.
https://en.wikipedia.org/wiki/Bolzano%E2%80%93Weierstrass_theorem

[Anonymous No.12064973]

>>12064957
try /lit/, you certainly need to improve your reading comprehension
>>12064963
>Math is in general fascinating by being overdosed, taught in an inappropriate way, or a level to high or to low can sure be boring as hell
It's kinda crazy how often math is poorly taught
>>12064966
>this is a beautiful theorem.
I'd give it an 8/10

[Anonymous No.12064980]

>>12064973
What's a 10/10 theorem for you, anon?

[Anonymous No.12064994]

>>12064966

still, to prove it you need completeness
and how to prove completeness? shove it as an axiom?

>>12064973

true, but teaching is a delicate thing

[Anonymous No.12065010]

>>12064980
That's a tough question. It's something I'd want to restrict to exclusively the greatest theorems, which for me would require some criteria, such as:
1. Comfy (Intuitively correct)
2. Useful (Widely applicable)
3. Big (fairly general case)
Bonus points for a clever proof.

I'm definitely missing some criterion here, but that would be some of the big ones. If I were to give some examples of 10/10 theorems, I may suggest ones such as: Any of the "fundamental" theorems, the Jordan curve theorem, Abel-Ruffini, etc

I am more of a fan of Algebra, so I'm sure I'm missing some great theorems in number theory and analysis, but these are just options. Some of these might fall more into the 9/10 category, and honestly I could easily bump Bolzano-Weierstrass one and not lose any sleep

[Anonymous No.12065030]

>>12065010
What about generalized Stokes'?

[Anonymous No.12065041]

I'm a CS student who is registered for abstract algebra this coming semester. My friend tells me this course is not so hard, but I put little stake in what he says since he had to retake it. My only experience with proofs is my discrete course, which inspire me to register for this course actually, since I found proofs to be very interesting and felt that doing them would make me a smarter person, but I am wondering how much harder the abstract proofs will be. I also fear school going fully remote which would kill all my motivation. Long story short, I don't want to get my shit completely pushed in this semester, or have to spend more than 20hr a week on the course, should I dereg and take something easy and computational like diffeq instead?
>inb4 CS brainlet
Why do you think I registered to take this hard math course, want to expand my mind a bit beyond code monkey stuff

[Anonymous No.12065046]

>>12065030
Yeah, that one is pretty nice

[Anonymous No.12065052]

>>12064994
>teaching is a delicate thing
Couldn't agree more

[Anonymous No.12065054]

>>12065041
A first course in abstract algebra will have a fair amount of computational stuff in it, but it'll still be proof orientated. I would take that over a diff eq class that is computational based, though, those are a waste of time in my opinion.

[Anonymous No.12065087]

>>12064980
The residue theorem is 10/10 imo.
Intuitively clear, even obvious, enormously useful and powerful, can be used for a whole bunch of different shit.

[Anonymous No.12065092]

>>12065041
sorry i dont reply to pedophiles, i mean anime posters

[Anonymous No.12065154]

>>12065092
absolutely based and spitefulpilled

[Anonymous No.12065179]

>>12064935
Based as always

[Anonymous No.12065252]

>>12064914
Can anyone on /mg/ give me a hint on this ? This problem has perplexed me for months :

https://projecteuler.net/problem=604#:~:text=Let%20%24F(N)%24%20be,increasing%20function%20can%20pass%20through.

My current line of thought is that the curve should try to emulate a straight line but I can't prove it, it's just my intuition

[Anonymous No.12065282]

>>12065252
Looks to me like using an array of numbers would come in handy.

[Anonymous No.12065292]

>>12065087
I struggled hard with the residue theorem and never really got complex analysis on an "intuitive" level at all. How is it intuitive?

[Anonymous No.12065300]

bros... i love you...

[Anonymous No.12065338]

>>12065300
Me too?

[Anonymous No.12065350]

>>12065338
No. Just me.

[Anonymous No.12065351]

>>12064944
I want to say it's B or D, because the sums of the vertical dominoes' nums match those of the tier of its bottom tile, even with a correspondence in the sums being for one tile on each column.

Sadly it breaks down.

[Anonymous No.12065371]

>>12065282
T-Thanks for the tip

[Anonymous No.12065372]

>>12064944
Gotta be B.

[Anonymous No.12065395]

>>12065371
we take care of our CStards here at /mg/

[Anonymous No.12065422]

>>12065371
*Th-Thanks

[Anonymous No.12065462]

>>12065292
It's just the statement that the complex logarithm is discontinuous on the negative part of the real axis, where it has a jump of [math]2/pi i[\math]. So everything except the coefficient of the pole must vanish (i.e. the residue) when integrating over any closed contour.

[Anonymous No.12065489]

So you have a matrix right composed of characters. The characters form words but not from left to right. But instead in a spiral format. So for example you’re given the size of the matrix which is correlated with the amount of characters in the word. So take the word commander, it would look like this:

c o m
e r m
d n a

How could you write an algorithm to decode the word mathematically?

[Anonymous No.12065544]

>>12065489
>write an algorithm

[Anonymous No.12065561]

>>12065489
So for a 3x3 matrix, you want positions 1-2-3-6-9-8-7-4-5? I'm a mathlet that hasn't done any math for a long time.

[Anonymous No.12065581]

>>12065561
Basically yes

[Anonymous No.12065593]

>>12064973
>try /lit/, you certainly need to improve your reading comprehension
going in /lit/ to improve reading comprehension is like going on /v/ to get better at vidya

[Anonymous No.12065606]

>>12065489
a generalised form for nxn, nxm?
look at A=(a_i,j) where i,j gives the position of entry a_i,j and think about how running around the edge of such a matrix changes the position and consequently the subscripts i and j

[Anonymous No.12065608]

>>12065593
/lit/ is closer to going to /s/ for improving your chances with women

[Anonymous No.12065691]

>>12065608
in terms of probability of it working they're all at 0

[Anonymous No.12065745]

[math] \lozenge P [/math]

[math] \diamond P [/math]

or

[math] \diamondsuit P [/math]

?

[Anonymous No.12065747]

btw. that's

lozenge
diamond
diamondsuit

[Anonymous No.12065760]

fuck this shit. how do i go from the second line to the third?

[Anonymous No.12065792]

they tell you in the last sentence, apart from which constant it is (c=1+ln(2) is not justified but do you really care?)

[Anonymous No.12065798]

>>12065792
i saw that, but i don't know how to apply it unfortunately.

[Anonymous No.12065819]

>>12065798
look up the definition of o(f(n)) and plug it into the denominator

[Anonymous No.12065822]

>>12065798
look up the definition of o(f(n)) and "plug it into" the denominator.
There's might be some "bigger/smaller domination argument" involved

[Anonymous No.12065828]

is basic maths the best way to start my journey to learn math from the scratch?

Im a semi neet with enough time on my hands so might as well learn something useful instead of just wastig time

[Anonymous No.12065839]

>>12065828
sounds tautological - yes, start with something you can understand

[Anonymous No.12065933]

>>12065828
baby logic
baby set theory
baby category theory
baby maths


https://boards.fireden.net/sci/thread/11929176/#11929187

[Anonymous No.12066042]

>>12064914
Are there any mathematical methids of catching a Lion?

[Anonymous No.12066054]

>>12066042
Attack it with a skateboard.

[Anonymous No.12066066]

>>12066042
erect a fence around yourself, then claim the lion is captured in the enclosure and you are in fact on the outside

[Anonymous No.12066068]

>>12066066
why did you write this?

[Anonymous No.12066084]

>>12066068
it is an easy way to catch every lion at once, unless you are very silly with your choice of fence

[Anonymous No.12066121]

>>12066084
I'm saying why do you reply to a question that's clearly motivated by that very witticism?
Did you just reply to yourself?

[Anonymous No.12066125]

I'll be taking a Real Analysis class in the future sometime. The class uses Understanding Analysis (Abbott) as a text but I read online that Rudin's Principles of Mathematical Analysis is the best text.

I have some time before I'll take the class and I want to start studying so I was wondering which book I should use if I end up taking the class some time in the next year.

[Anonymous No.12066133]

>>12066121
if you recognise the joke then why are you surprised someone else did?

[Anonymous No.12066136]

>>12066125
if this is your first time doing analysis or anything beyond high school maths? if so, read the first few chapters of abbott before starting with rudin. or just ignore rudin for now.
>>12066121
why are you being a faggot?

[Anonymous No.12066152]

>>12066136
I took courses in Linear Algebra and Multi-variable Calculus in high school. Both classes had the professor do a lot of proofs and we did some proofs for homework and on exams.
I have never taken an analysis course before.
P.S There's an easy class and a hard class in my college. The easier one goes through Abbott and the hard one does Rudin. I can't really risk taking a hit to my GPA so I'm taking the easier on with the intention of filling in the gaps.

[Anonymous No.12066157]

>>12066152
My apologies, I took the Linalg and Multi classes as a college freshman.

[Anonymous No.12066190]

>>12066152
>>12066157
personally, i would read the first two or three chapters of abbott so that you have a taste for it, and then try reading rudin. you'll then have a better idea of the approaches these books take.

[Anonymous No.12066197]

>>12066190
Thanks, much appreciated. I'm almost done with the first chapter of Abbott and I like it so far. I'll be doing the exercises soon.

[Anonymous No.12066306]

>>12066152
>I took courses in Linear Algebra and Multi-variable Calculus in high school. Both classes had the professor do a lot of proofs and we did some proofs for homework and on exams.
Private school?

[Anonymous No.12066313]

Apart from Dini and Arzela-ascoli, are there any other tools to prove that a converging sequence of functions is also converging uniformly?

[Anonymous No.12066327]

>>12064914
What is chirality?

[Anonymous No.12066353]

>>12066152
Where in the world are high school teachers still called professor?

Used to be like that over here as well, but that ended about 70 years back.

[Anonymous No.12066842]

>>12066327
Handedness

Some molecules are not reversible left/right. They become a different substance if you flip them around

[Anonymous No.12066877]

>>12065933
absolutely terrible subjects to start with if you really only posses highschool background. try calculus and linear algebra. 3blue1brown has videos on these. ive never seen them but hes excellent. there are many great texts on these to really make sure you establish a foundation. then you can move onto abstract algebra, analysis, set theory, etc

[Anonymous No.12066897]

>>12066877
Abstract algebra is more useful for developing mathematical skills than the naïve calculus taught in highschool that is almost entirely computation and application based. In fact, I think CollegeBoard should offer an AP Algebra course.

[Anonymous No.12066939]

>>12066842
Not only for molecules, anything with some property related to mirror asymmetry. A helix for example.

[Anonymous No.12067252]

Test

[Anonymous No.12067349]

>>12067252
Based.

[Anonymous No.12067496]

>>12065828
i would say make sure you have a strong foundation of the fundamental areas of math before you go build up

[Anonymous No.12067578]

>>12066042
Did you want someone to post that huge list of methods?

[Anonymous No.12067615]

How do I correctly use formulas and mathematical expressions in a sentence, grammatically speaking?

[Anonymous No.12067661]

>>12067615
Just do what math articles or wikipedia does. Avoid having loose formulas that form a sentence on its own, just write around it. You should also avoid starting a sentence with a mathematical concept or a formula (in some cases you can avoid this by inserting the word 'let' at the start, e.g. "Let [math]X[/math] be a topological space.") And remember that you must use proper punctuation even if you end a sentence with a formula. Good luck with your article.

[Anonymous No.12067721]

We chew on the sticks and Kola
And sit in the shady sun-grove
In semicircle around the network
Mesmerized by its gleam

We laugh heartily as we plot
Pass living jokes,
all carrying true fear and fortitude

And within our midst, a being begins to grow
Like wisp from my mouth and your eye,
From his fingers and her arms,
We begin to see the actors who will sweep through the streets
.
.
.
.
.
Shrouded in white robes
With earth-red perimetries
The Jihadis travel over the land
Carrying just their two fingers

From living room coffee
Until dusty desert roads
Old faced and hearth-voiced,
To each traveler they pass their hand

Two fingers on the left, held in a gentle peace
Not fully upright, tired under the world's weight
They make:
Desist, comrade
Be your spirit
The time of motion becomes

[Anonymous No.12068255]

>>12065933
>baby logic
>baby set theory
Sure
>baby category theory
WHAT
>baby maths
Math, but yes

[Anonymous No.12068262]

>>12064935
Why should I study elliptic curves?

[Anonymous No.12068303]

if I have elements a_1, a_2, ..., a_n in the sets A_1, A_2, ..., A_n respectively such that their sum a_1+...+a_n is in the intersection of A_1, A_2,...,A_n, does that imply a_1, a_2,..., a_n are all in the intersection? I'm dealing with a problem similar to this statement and it is giving me a shitload of trouble.

[Anonymous No.12068316]

>>12068262
Cryptography

[Anonymous No.12068387]

>>12068262

[Anonymous No.12068401]

>>12068303
Am I misreading you or is a_1=1, a_2=2 and A_1={1,3} and A_2={2,3} a counterexample?

[Anonymous No.12068442]

>>12065041
Read or skim a book on proofs like "How to Prove".

[Anonymous No.12068555]

>>12068401
fuck you're absolutely correct. Nevermind then.

[Anonymous No.12068577]

>>12068555
Cheers, lad.

[Anonymous No.12068742]

Is every finite algebra also necessarily a [math]\sigma[/math]-algebra? I'm having a hard time coming up with a counterexample.

[Anonymous No.12068795]

>>12068742
obviously, why the fuck would you think otherwise?

[Anonymous No.12068834]

>>12067578
Not him but I want to see it.

[Anonymous No.12068881]

>>12065372
How?

[Anonymous No.12068953]

>>12066042
>>12068834
www.gksoft.com/a/fun/catch-lion.html

Here it is then

[Anonymous No.12069050]

>>12068953
This is hilarious.

[Anonymous No.12069134]

Putnam delayed.
https://www.maa.org/math-competitions/putnam-competition

[Anonymous No.12069386]

>>12067661
thx

[Anonymous No.12069419]

functions with multiple poles

[Anonymous No.12069443]

>>12068742

>>12068795
kek you've got that backwards, idiot.

[Anonymous No.12069463]

>>12066306
>>12066353
no that was my mistake i took those courses as a college freshman

[Anonymous No.12069535]

>>12066353
In France we use the term «professeur» for anything from kindergarten or grade school teacher (professeur des écoles) to high school teacher to university professor, although the phrase «Professeur X» is reserved for actual professors (usually medical profs)

[Anonymous No.12069792]

Is college retarded? I want to be free thinking but college just seems like digesting books. Where does a polymath go to learn?

[Anonymous No.12069889]

any advice for an anon going back to do a masters?

[Anonymous No.12070047]

>Therefore,
>Clearly,
>It follows that
>We can obviously conclude that
>From here, we can see that
>We observe that

[Anonymous No.12070049]

>>12069792
>Where does a polymath go to learn?
You ever hear of a library?

[Anonymous No.12070070]

>>12069792
There hasn't been a true polymath since Leibniz. The floor of entry is too high for most fields for there to be another one.

[Anonymous No.12070139]

>>12069889
Applied or pure?

[Anonymous No.12070141]

Hi /mg/.

https://www-app.uni-regensburg.de/Fakultaeten/MAT/sfb-higher-invariants/index.php/Workshop_simvol2020
>Virtual workshop: Simplicial Volumes and Bounded Cohomology
>This workshop will take place during the week September 21--25, 2020 in a virtual format. We will try to create an atmosphere similar to usual workshops by providing ample opportunities for interaction outside of the talks. All the virtual rooms, chats, etc. are supported by Universität Regensburg (Fakultät für Mathematik)
>The aim of this virtual workshop is to bring together researchers and students interested in simplicial volumes, bounded cohomology and their applications.

[Anonymous No.12070173]

>>12069014
Are you using a book? Do the proofs there
I'm assuming you're a freshman or something

[Anonymous No.12070203]

>>12070049
There's no community or guidance there.

>>12070070
I don't actually believe this is true, both because there have been obvious real-life polymaths, and for philosophical reasons: IQ isn't as relevant as a certain style of thinking. Everyone's so hyperspecialized these days, and university encourages that way of thinking, it's unnatural to me. I want to study math because it's my favorite subject and is a useful skill to train, but I want to do it in a liberated way. Playing with functions and being given interesting exercises from disparate genres that somehow inform eachother, rather than rote proof churning without a gut of intuition. I read my textbook and spend days thinking about good intuitions for new topics, intuitions which the author should spend pages fleshing out but instead completely ignores. And there's so much missing still, it would be easier if I were in a community where I could collaborate from that perspective. Is college worth it, or will it just be disappointing? The Silicon Valley CS-Monkeys at least embrace creativity in their hyperutilitarianism.

[Anonymous No.12070325]

>>12070141
Morning, lad.

[Anonymous No.12070424]

>>12069535
Oh, so that was probably the French influence over here.
Oddly enough ended after WW2.

[Anonymous No.12070458]

>>12070139
pure

[Anonymous No.12070831]

https://twitter.com/latestinspace/status/1300402073343848451
doesn't work everytime

[Anonymous No.12070849]

>>12064935
slowchad

[Anonymous No.12070853]

Why didn't you algebrachads tell me about this kino?
https://en.wikipedia.org/wiki/Wheel_theory

[Anonymous No.12070904]

>>12065760
evaluate you fucking dong

[Anonymous No.12070906]

>>12053264
I studyied up to a master's degree for math
it had a bit of comp sci (mostly with python)
>Unless your school has a well structured major (i.e. you have to take some basic comp sci and your math classes are actually still rigorous), I recommend you either double major or just do a proper math major.
I'm going to look into it..

[Anonymous No.12070918]

>>12070070
this is a pernicious lie put about by worthless "specialists" who do not want it to be possible for their "expertise" to be challenged

[Anonymous No.12070928]

>>12070853
'cause they are not a relevant structure, the point of having a 0 in a field is to have something you cannot divide by.

[Anonymous No.12070943]

>applied math
>not math or science
What did he mean by this?

[Anonymous No.12070944]

>>12070070

I mean tadashi tokieda knows a thing or two in physics and math, but also philology and painting.

[Anonymous No.12070953]

>>12070070
Poincare was a polymath. Laplace was a polymath. Hamilton was a polymath.

[Anonymous No.12071111]

>>12070928
I don't think that your characterization of zero is really meaningful, but as far as I know this theory of wheels has no particular results or connections to the rest of math which are of any interest, which is why no one talks about it. There's more than one way to define 1-2, as well, but there's only one popular way. The integers are so often used because they have interesting properties, not just because it's possible to define them.

[Anonymous No.12071121]

>>12071111
checked.

you know that's not why he's interested in being able to divide by zero right?

[Anonymous No.12071135]

>>12071111
Checked.

[Anonymous No.12071171]

right angled triangle with integer side lengths a,b,c
prove a is not 1 or 2
ext. prove a can be any integer larger than 2

[Anonymous No.12071186]

>>12071171
Think about the equation
a^2 + 1 = c^2
when are two squares only 1 apart?
what about 4?

[Anonymous No.12071191]

>>12070953
I know that Poincare wrote philosophy, but you seem to read "polymath" as someone who is good in many field of math. For one, a polymath should be sufficiently proficient in some sort of art, for example.

[Anonymous No.12071215]

>>12071121
I assume he's interested because it was a popular meme in the noughties. It just happens to be both easy and uninteresting to spew out systems in which some kind of division by zero is possible.

[Anonymous No.12071250]

>>12071186
0,1
0,4
why aren't these valid?
how do you know there are no others?

[Anonymous No.12071301]

>>12071191
Classic polymath: Math, philosophy, and physics. The three purest fields of knowledge.

[Anonymous No.12071318]

>>12071191
>>12071301
How do you become 'proficient' in philosophy?

[Anonymous No.12071322]

>>12071318
The same way you become proficient in any other field. I'm not sure I understand your question.

[Anonymous No.12071429]

>>12071250
a triangle can't have one side with length 0...
look at the gaps between squares bro. literally list out the first ten squares then the distances between consecutive ones.

[Anonymous No.12071446]

>>12071429
hint: a demonstration of the increasing gaps(unproven itt so far) can make the extension quite simple

[Anonymous No.12071462]

>>12071186
You can rewrite to get that
[math]1 = c^2-a^2 = (c-a)(c+a).[/math] Since we are working over the integers, both [math]c-a[/math] and [math]c+a[/math[ are integers and must equal 1. Then you can solve. You can do a similar thing for 4, but there will be 3 cases.

[Anonymous No.12071534]

Related to the topic in the thread recently, I came across this PhD thesis from this year, on analysis in univalent type theory

https://www.cs.bham.ac.uk/~abb538/thesis-first_submission.pdf

Old slides: https://www.cs.bham.ac.uk/~abb538/slides/2018-02-darmstadt.pdf
Recent paper: https://arxiv.org/pdf/1805.06781.pdf

[Anonymous No.12071543]

What do math fags think of mechanical engineers?

[Anonymous No.12071550]

>>12071543
They're ok

[Anonymous No.12071559]

with the objective of understanding Stokes theorem i've spent the last few months working through Calculus I-III using Paul's Online Notes as a syllabus. however the rabbit hole seems to have got a lot wider. are there any comparable online resources which deal with Complex Analysis? i have a hankering to move towards the Cauchy and Residue Theorems next

[Anonymous No.12071562]

>>12071543
inventy types can be pretty cool
when they provide solutions without pretentiousness, then return to the shed to work on the next project

[Anonymous No.12071571]

>>12070943
I think deep down, you know.

[Anonymous No.12071669]

>>12071559
https://www.youtube.com/channel/UCcOPzqeuB8GTt1zfh6JKbSA/playlists

[Anonymous No.12071862]

>>12067615
Don't mix "For all" with '[math]\exists[/math]'

[Anonymous No.12072552]

>Actually infinitesimals are perfectly rigorous through the theory of differential forms
You must be a complete and utter retard to actually believe this, but I have heard it multiple times. Why is that? Nonstandard analysis has existed for a long time now.

[Anonymous No.12072568]

>>12072552
Works for physicists.

[Anonymous No.12072580]

>>12072568
yes and that's why they say pretty dumb shit

[Anonymous No.12072581]

What are you dude's plans after school (for those of you in undergrad)?

[Anonymous No.12072587]

>>12072581
PhD, kinda scared but seems pretty comfy actually.

[Anonymous No.12072591]

>>12064914
You cannot solve this faggots

[Anonymous No.12072593]

>>12072581
I'm still undecided on whether going for an MS in CS or Physics.

[Anonymous No.12072599]

>>12072591
uno

[Anonymous No.12072651]

>>12072581
Master's

[Anonymous No.12072656]

>>12072591
[math]9 - \frac{3}{\frac{1}{3}}+1 = 9 - (3)(3) + 1 = 9 - 9 + 1 = 0 + 1 = 1[/math]

[Anonymous No.12072660]

>>12071318
Be a genius like Poincare.
>>12071191
You don’t need to be talented as an artist to be a polymath, that is not and never was the definition. While it is sufficient to be a talented artist and scientist or mathematician and artist like Leonardo it is not necessary.

[Anonymous No.12073208]

>>12069792
>>>/youtube/

[Anonymous No.12073225]

>>12064944
D is the only one which doesn’t appear in the image

[Anonymous No.12073279]

>>12069792
A college/uni degree is the entry ticket to many types of careers.
That's the primary reason to go to college, and it's far from retarded.
You won't find "free thinking" there, though. In STEM there isn't a whole lot to philosophize about, and in the humanities you simply keep repeating the same shit over and over that other people before you have said. If you say otherwise, they will outright murder you. Literally.
The most you'll do is attempt to make new observations fit the forefathers' convictions.
To become a "polymath" the Internet should do, if you know what you want to learn, but that won't convince HR people to hire you.

[Anonymous No.12073283]

>>12073279
>>12073225
>>12073208
stop replying to brainlets and bait you fucking nigger summerfags

[Anonymous No.12073936]

Why is so hard to find internship?

[Anonymous No.12074204]

>>12073936
COVID

[Anonymous No.12074244]

>>12074204
covid is a hoax. but a convenient scapegoat for the fact that the world owes central banks interest on hundreds of trillions of dollars (that (((they))) printed out of thin air) and there's no prospect of generating that kind of productivity. anyway, that's why there's no internships. because there is no future

[Anonymous No.12074324]

Why do we care about supremums and infimums?

[Anonymous No.12074330]

Could not figure out the equation of a plane given 3 points.
Am now going to fail.

[Anonymous No.12074343]

Any scottish mathbro here? Or, just in general, I'm graduating this year with a Bachelor in Math, and was debating whether to go for a postgraduate degree, or jump into the job market. Any tips? Is leaving with only a bachelor not a good idea?

[Anonymous No.12074351]

>>12074330
Make two vectors from the given points, cross them, and just plug them into the standard equation for a plane: [math]\overrightarrow{n} \ \cdot \ (\overrightarrow{r} - \overrightarrow{r_0})[/math].

[Anonymous No.12074361]

>>12074343
Depends on multiple factors: Pure or applied, how much coding experience you have, what the current job market is like, and so on. In general, the increased pay that comes from a master's is definitely worth it, but some of my friends went straight from a math BS to a job in data science and are doing quite well.

[Anonymous No.12074371]

>>12064914
Seeing mathematicians on Twitter supporting 2+2=5. Is this some kind of prank? What is this meme in aid of. Some are even posting proofs that 2+2=5 that divide by zero. Can anyone explain what's going on and why this is being taken seriously?

[Anonymous No.12074386]

>>12074371

[Anonymous No.12074452]

>>12074371
https://en.wikipedia.org/wiki/2_+_2_=_5

[Anonymous No.12074468]

>>12074452
>https://en.wikipedia.org/wiki/2_+_2_=_5
Yes, I understand that reference. What I'm referring to is the unironic support that 2+2=5 is getting on Twitter.

[Anonymous No.12074475]

>>12074468
The real question is why are you on or caring about twitter in the first place.

[Anonymous No.12074479]

There were 2 /mg and I ended up posting in the other. I put up 3 pages starting here >>12072862
Riemann stuff.
There were updates and improvements to this method.
This is page 4. I didn't really want to flood the threads with all 12 pages unless someone was interested. If someone does want the rest, just let me know.

[Anonymous No.12074494]

>>12074479
>If someone does want the rest, just let me know.
Sure.

[Anonymous No.12074497]

>>12074494
well that was easy, ok then, here's 5.

[Anonymous No.12074505]

>>12074494
well that was easy, ok then, here's 5.

[Anonymous No.12074509]

6

[Anonymous No.12074514]

7

[Anonymous No.12074517]

8

[Anonymous No.12074519]

>>12074475
Because it's being taught in school now, and I've seen purported mathematicians giving the idea support on Twitter.
https://www.popularmechanics.com/science/math/a33547137/why-some-people-think-2-plus-2-equals-5/

[Anonymous No.12074522]

9

[Anonymous No.12074527]

>>12068262
They're just beautiful

[Anonymous No.12074534]

10

[Anonymous No.12074541]

>>12074371
they are signalling to (((those))) in power that they are willing to endorse literally anything that they are told. communist faggots
>In the end, the Party would announce that two and two made five, and you would have to believe it. It was inevitable that they should make that claim sooner or later: the logic of their position demanded it. Not merely the validity of experience, but the very existence of external reality, was tacitly denied by their philosophy. The heresy of heresies was common sense.

[Anonymous No.12074557]

11

[Anonymous No.12074583]

>>12074557
page12

as i keep proofing, I find small improvements. On the last page 11 for example, I just noticed it says " the quadratic in 51 is equivalent to the one in 43..." more accurately what was meant, it should read "has equivalent roots to..." one is a scale of the other, but technically the coefficients are different. doesn't affect anything though, still more accurate wording.

[Anonymous No.12074614]

>>12071534
>: instead of \in
Completely haram.

[Anonymous No.12074629]

>>12074614
I've never even seen that used before. Is that commonly accepted notation?

[Anonymous No.12074635]

>>12074629
It's not the same. The symbol : is used in type theory black magic.

[Anonymous No.12074649]

>>12074519
are they teaching the little niglets and spiclings modular arithmetic as well?

[Anonymous No.12074664]

>>12074649
Yes.

[Anonymous No.12074679]

>>12065010
>>12064980

Gauss-Bonnet theorem is kino

[Anonymous No.12074698]

>>12074679
>Gauss-Bonnet
>Not Riemann–Roch

[Anonymous No.12074726]

>>12074698
>Riemann-Roch
>Not Atiyah-Singer

[Anonymous No.12074765]

>>12074726
>not tchitcherine-tripping

[Anonymous No.12074777]

>>12074765
>not Unvollständigkeitssatz

That thing is an eternal reminder to not get too full of yourself.

[Anonymous No.12074847]

When we prove something by contradiction, we conclude then that our assumption was false, implying that whatever we were assuming is negated.

Is this the law of excluded middle?

Also, has anyone tried creating systems of logic that allow for more than 2 states? I.e. an assumption can be false but it's negation false too. I know this might not be very useful but just wondering if people have tried experimenting with that...

[Anonymous No.12074852]

>>12074664
They should make them learn Euclid while they're at it.

[Anonymous No.12074864]

>>12074777
>formal axioms
they are a useful spook, as is constructionism

[Anonymous No.12075056]

How common are stochastic calculus PhD's?

[Anonymous No.12075166]

What numbers explain the universe the most?
Is it 2, 3, 4 or 7?

[Anonymous No.12075188]

Calc 1

I have no Idea how to do this problem

Some guys in /wsr told me I need to show that the functions on the right are the derivatives of the ones on the left..

And another said Prove the equations in the chart with the (f(x + h) - f(x)) / h limit.

I have no idea how to do that

[Anonymous No.12075207]

>>12075166
42

[Anonymous No.12075241]

>>12075166
[math]0[/math] and [math] \infty [/math]

[Anonymous No.12075247]

>>12075188
Just look at the numerator of difference quotient in the def of the derivative for f(x)=x^2. You’ll have:

(x+h)^2-x^2=2xh+h^2 ——> divide out an h to get h(2x+h)/h, including the denom now, and then cancel the h’s and let h——> by evaluating the limit. You end up with 2x. Do this for each part of the composite functions you’re given and remember to cancel like terms, properly FOIL, and there’s always an h to factor out. You can do the rest yourself.

[Anonymous No.12075251]

>>12075241
>[math]\infty[/math]
>Number

[Anonymous No.12075253]

>>12075241
Nice apu

[Anonymous No.12075257]

>>12075188
Go to /sqt/
>I have no idea how to do that
You know the definition of a derivative at a point right? You mentioned it
Just do the quotient. Like for f(x) = x2 you know that f(x+h) = (x+h)2 right?

[Anonymous No.12075266]

>>12075188
for the sqrt function you need to multiply by the conjugate of the numerator just a head's up or you'll have a lot of trouble cancelling everything. Also >>>/sqt/

[Anonymous No.12075610]

>>12074324
cuz max and min doesn't always exist

[Anonymous No.12075644]

Anyone here able to endorse me for a proof in dynamical systems on arxiv?

[Anonymous No.12075716]

Characteristic functions for a set in discrete math map Reals to {0,1}. How do I find the pre-image and image of a defined set?

[El Arcón fNaSZS0apE No.12075792]

>>12075716
What have you tried

[Anonymous No.12076063]

What does /mg/ think of selling out to the military industrial complex?
I'm doing an honours project in isogeny based cryptography (yes I'm an elliptic curve chad). My cunt's equivalent of the NSA is involved in a partnership with my university and my supervisor has suggested working with them.

Pros:
>Involvement with people with actual experience in cryptography (my supervisor is a number theorist)
>funding (probably)
>industry experience and connections
Cons:
>working for the man
>need to get a background check

I think I will do it because I think that despite the organisation being involved in some bad things my research isn't harmful (and indeed is beneficial). I would like /mg/ opinion though. Would you do it?

[Anonymous No.12076065]

by using a vertex set cardinality > reals, is it possible a resulting graph can not be embedded in real/euclidean space?

[Anonymous No.12076067]

>>12075716
think about what a characteristic function does

[Anonymous No.12076071]

>>12076063
sounds fun
which cunt are you gonna spook for?

[Anonymous No.12076076]

>>12076065
Yeah, an embedding would be an injective map to something of smaller cardinality.

>>12076071
Australia, these guys in particular: https://www.asd.gov.au/

[Anonymous No.12076079]

>>12076065
Yes. It already fails if the vertex set is uncountable. The vertices form a discrete set and euclidean space doesn't have uncountable discrete subspaces because R^n has a countable topological basis

[Anonymous No.12076087]

>>12064914
why do i suck at it?

[Anonymous No.12076090]

>>12076087
What have you tried?

[Anonymous No.12076092]

>>12076090
highschool as a whole and the first semester of computer engineering, flunked it, never touching math or physics again
all my friends are geniuses at it though, i dont even compare

[Anonymous No.12076491]

Help pls
There are two structures for the language above the alphabet (signature) with one binary relational symbol R (assume that = is always in the language and is always interpreted as an equality relation between the model elements):
1. M1 = (N, ≡2).

2. M2 = (Z, ≡2).
In M1 R is interpreted as modulo 2 congruence (returning the same remainder when divided by 2) of natural numbers, in M2 R it is interpreted as modulo 2 congruence (returning the same remainder when divided by 2) integers. Prove that M1 and M2 are isomorphic.

[Anonymous No.12076511]

>>12076491
Oh! Greetings, my fellow model theory sufferer! I was just on my way over to vent about this exact sort of shit myself!
*ahem*
HELP PLEASE SOMEONE EXPLAIN TO ME THE POINT OF THIS ABSTRACT MODEL THEORY BULLSHIT I DON'T FUCKING GET IT WHY DID I TAKE THIS FUCKING COURSE I HAVE CRUSHED ALL RIGOROUS MATHS UNTIL THIS POINT THE LECTURER IS SO FUCKING BAD PLEASE SOMEONE TELL ME WHAT THE FUCK IS GOING ON

[Anonymous No.12076550]

>>12076491 (you)
Dunno if it is correct but I tried function f(x)=2(x/|x|)+x^2+2. Please tell me I'm not wrong
>>12076511

[Anonymous No.12076592]

>>12076491
What is there even to prove?
Are you supposed to give an isomorphism?
In that case use the trivial one between [math]\mathbb{N}[/math] and [math]\mathbb{Z}[/math] you learned about when you were taught they were the same kind of infinity.
Due to R you need to watch out for parity, though. Also, isn't R unary?

[Anonymous No.12076596]

>>12075247
Just look at the numerator of difference quotient in the def of the derivative for f(x)=x^2.

None of that made any sense to me, I can't even begin to understand what you are talking about. I'm completely lost.

x+h)^2-x^2=2xh+h^2
Where does this come from

h——>
What does that mean

composite functions
What is that the functions in the left column?

[Anonymous No.12076599]

>>12075257
You know the definition of a derivative at a point right?
No

Just do the quotient
What quotient, I dont see the division

f(x+h) = (x+h)2
No I don't know that,

[Anonymous No.12076609]

Good afternoon, /mg/! Doing exercises in Atiyah&Macdonald. How is your maths going?

[Anonymous No.12076620]

Do I need to to baby rudin before papa rudin, or can I skip straight to papa rudin after some experience with proofs and calculus

[Anonymous No.12076663]

>>12076620
The books really don't have the same contents. You should know that Rudin himself recommends the first 7 chapters of the baby book as prereq for the adult one.

[Anonymous No.12076676]

>>12076663
ok thanks, how long would those 7 chapters take after some noob intro to proofs stuff?

[Anonymous No.12076702]

>>12076676
About 1 college semester but depends on how much you study and how many problems you solve. If you want a suggested problem set with solutions available on the internet, look for the real analysis course on MIT OCW. The course itself is based on Baby Rudin.

[Anonymous No.12076719]

>>12076702
thanks anon

[Anonymous No.12076723]

>>12064935
>Conic sections

[Anonymous No.12076756]

>>12075166
24

[Anonymous No.12076836]

>>12075166
0 and 1.
0 alone already explains everything, though.

[Anonymous No.12076864]

>>12076836
>0 alone already explains everything, though
It explains nothing.

[Anonymous No.12076871]

>>12076864
It explains everything that is balanced, static, in equilibrium. Which is not everything, but surely more than nothing.

[Anonymous No.12076895]

>>12076864
You start with 0. Then you look at {0}, then at {0,{0}}, then at {0,{0},{0,{0}}} and so on...
You get the entirety of [math]\mathbb{N}[/math] using this approach, which has a bijection to/from both [math]\mathbb{Z}[/math] and [math]\mathbb{Q}[/math].
[math]\mathbb{R}[/math] is something artificially created by humans that does not exist in reality.
0 alone literally explains everything that actually is.

[Anonymous No.12076944]

>>12076895
That's set theory in a nutshell.
Reals are sets infinite in both direction.

[Anonymous No.12076963]

>>12076944
>Reals are sets infinite in both direction.
That's not the decisive difference. Both the integers and the rationals are "infinite in both directions" as well.
The rationals are even infinite amid themselves. This is all still countable infinity, though.

What makes the Reals "unreal" is that you can't order them such that you are guaranteed to find whatever element you are looking for at some point "down the line".

[Anonymous No.12076966]

>>12076895
>>12076871
Dumb autists didn't get the double entendre.

[Anonymous No.12077813]

>>12064914
Ok, analysis chads, how can I do this integral?
[math]\int^\infty_0x^{-\frac32}e^{-nx-a/x}dx=\sqrt{\frac{\pi}{a}}e^{-2\sqrt{na}}[/math]

I thought of substituting [math]u=\sqrt{nx}-\sqrt{a/x}[/math] but this didn't quite work out. I tried a contour integral, but I can't find a convenient contour to make anything nontrivial happen. You guys see anything that works here?

[Anonymous No.12077852]

>>12077813
Very tired so can't answer right now, but I'll just comment that this is a special case of Lerch's integral for the zeta function.
There's a contour trick you can use but I can't remember it right now. I'm sure someone else more alert can point out a simpler substitution to convert it to a Gaussian, and you could just come up with something to get it into this form:
[math]\int^\infty_{-\infty}e^{-\lambda x^2}\cos2\lambda\alpha xdx=\sqrt{\frac{\pi}{\lambda}}e^{-\lambda\alpha^2}[/math] where [math]\alpha>0[/math] obviously (and in your post you should also have [math]\Re(a)\geqslant 0[/math] for convergence but this is pretty clear to me)

[Anonymous No.12077860]

>>12077852
>Lerch's integral for the zeta function.
sorry, I mean it's the Lerch transcendent, not the zeta function itself; there's a factor of a gamma function difference
whatever, no more maths for me until I sleep

[Anonymous No.12077883]

>>12077860
fuck, second correction: factor of gamma function difference between the integral and the Lerch transcendent, and the Lerch transcendent isn't technically the same thing as the Lerch zeta function because they prefer the cooler name if you use a certain absolutely trivial change of variable
whatever, just look that up if you want a hint on the contour, and I should've just ignored all that shit and said just use a fucking substitution or something

[Anonymous No.12077889]

>>12077852
and lambda should be positive for convergence
fuck my life
I'm supposed to hand in a PhD thesis and if they saw the absolute state of my posts here they'd think twice right now

[Anonymous No.12077959]

>>12077813
not sure if it helps or makes it worse, but you can get rid of function in front by using u=-2x^(-1/2), then du equals that x^-3/2 dx out front.

That turns it into e^((-16n-au^4)/(4u^2)) du.
Maybe you could do a further substitution from there. I wasn't seeing where to go from there though.

[Anonymous No.12077965]

>>12077889
What's your thesis on?

[Anonymous No.12077994]

>>12077959
you can split that e into a product too at that point, so int by parts may also be an option at that point.

[Anonymous No.12078091]

>>12077965
Octuple integrals and their applications to the homotopy theory of quantum knots.

[Anonymous No.12078095]

>>12072591
>>12072599
>>12072656
It's 7 you fucking retards

[Anonymous No.12078114]

>>12077965
Posting that would just be a self dox

[Anonymous No.12078198]

>>12078114
Don't pretend to be me. I'm proud of my work.
>>12078091

[Anonymous No.12078205]

>>12078091
>octuple integrals
hello based department

[Anonymous No.12078228]

>>12077965
Probably one of the elliptic curves lads

[Anonymous No.12078567]

>>12078091
i am a retarded undergrad, passing through to pay my respects to a higher-dimensional gigachadbrain.

[Anonymous No.12078571]

>>12078567
>octuple integrals
Anon he's meming

[Anonymous No.12078582]

>>12078571
>doesn't know that octuple octonionic integrals of symplectic sheaves on abelian infinity categories are poised to bring about the next technological revolution

[Anonymous No.12078598]

>>12078582
Somewhat related, I saw notation somewhere where they had integrated over a category (over its objects?). Do you know what this notation means and is it something more exciting than the usual measure theoretic integration?

[Anonymous No.12078626]

>>12078571
[math]\idotsint_\Xi [/math] >implying [math] \,d\xi_1 \dots d\xi_8[/math]

[Anonymous No.12078630]

>>12078598
I've never worked with these, but it sounds like you want the end of category theory haha.

https://en.wikipedia.org/wiki/End_(category_theory)

[Anonymous No.12078642]

>>12078598
Or it's also possible the category in question was actually itself a measure space.

[Anonymous No.12078649]

>>12078630
Thanks! Pretty sure this is what I was talking about.

I do indeed want the end of category theory though...

[Anonymous No.12078661]

>>12078649
I fear that in the future math will just be crazy old cat ladies who never knew the joy of sets.

[Anonymous No.12078701]

>>12076895
>implying R cannot be constructed from 0

[Anonymous No.12078759]

>>12078571
i am entirely too knowledgeable to tell which if any of you are joking and to what degree.
t. retarded undergrad

[Anonymous No.12078764]

>>12078567
*not knowledgeable is what i meant. i rest my case.

[Anonymous No.12078821]

Parabolas are literally just line lines... woah

>>12076895
>0 explains everything
>neglects the fact that brackets, commas, and their ordering are also required to explain Z and Q

[Anonymous No.12078858]

Where can I read papers on combinatorial galois knot theory?

[Anonymous No.12078862]

>>12078759
Come on Anon! It's hard enough to integrate something three times (triple integral), let alone eight. No one has ever solved octuple integrals except in very special easy cases.

[Anonymous No.12079077]

>>12064914
Is there something like pic related but for maths?

[Anonymous No.12079150]

>>12078862
Bruh I'm starting Calc II. I have never even double integrated.

[Anonymous No.12079154]

>>12079077
This is awesome. Thanks for sharing!

[Anonymous No.12079170]

>>12079077
Yeah, about a billion
Look at the ones in /sqt/ for example

[Anonymous No.12079174]

If I have a set A as a subset (0,1] where A is defined to be the set made up by picking one element from every equivalence class [math][x]_~[/math] where x~y iff x-y is rational, can I define a measure that is finitely additive, translation invariant, and has measure equal to the length of an interval? I'm thinking no because the proof in Folland is for a countably additive measure and I don't see why going to finitely additive measure would make anything better. Any help?

[Anonymous No.12079331]

Four weeks into complex analysis and already liking it a lot more than real analysis.

[Anonymous No.12079346]

>>12079331
How are you studying it?

[Anonymous No.12079390]

>>12079346
It's a class I'm taking right now at university.

[Anonymous No.12079408]

>>12079174
did gpt-3 write this after someone fed it a measure theory book

[Anonymous No.12079483]

>>12075792
>>12076067
I am retarded. After spending some time with this idea, it's pretty simple. Although practically, where is this used? What other areas of math of has this idea been useful for proving some interesting results?

[Anonymous No.12079606]

>>12079483
Characteristic functions are pretty central in the definition of Lebesgue integration.
They come up a lot in topology, they are easy functions to describe so sometimes they make good examples/counterexamples.

[Anonymous No.12079616]

what's it feel like to do some mathematics? i'm a comp sci autist whose parents made him anxious about his future so i have a hard time giving myself the time to pursue a project that has no immediate (save personal) reward, as opposed to a coding project which i can display and get laughed at for.

I have read through some math books while traveling and whatnot and enjoyed the style of thought and the problem solving, but i've yet to go beyond thinking about maths beyond the textbook problems.

could someone explain what your typical work session in maths is like? when coding i just mash the keyboard for a few hours and barely remember what happened during the work flow. I just remember why the code was written the way it was

[Anonymous No.12079617]

>>12079616
no books beyond analysis and discrete math though. i don't think i've done any "real" maths (if you wanna be gatekeepy) beyond that required for deep learning and machine learning

[Anonymous No.12079767]

Which branch of math with help me pull the hottest babes? Is their a math fields power ranking for this?

[Anonymous No.12079814]

>>12074371
scholars are bootlickers to politicians

[Anonymous No.12079821]

>>12074847
>Also, has anyone tried creating systems of logic that allow for more than 2 states? I.e. an assumption can be false but it's negation false too. I know this might not be very useful but just wondering if people have tried experimenting with that...
https://arxiv.org/pdf/1405.7744.pdf

The ‘catuskoti’ or tetralemma in Buddhist logic is a problematic
subject from the modern logical point of view. Recently a many-valued
paraconsistent logic was proposed in order to formalize catuskoti ad-
equately by G. Priest.
On the other hand a slight modification of
the formalization of catuskoti seems to allow an appropriate inter-
pretation in the framework of the classical propositional calculus in
the mathematical logic developed by Russell-Whitehead and Hilbert-
Ackermann.
Key Words and Phrases. catuskoti, tetralemma, Buddhist logic,
propositional calculus
2010 Mathematical Subject Classification. 03B05, 03B42, 03B80

[Anonymous No.12079894]

>>12079767
Elliptic curves > theoretical physics > algebraic geometry (strictly without reference to categories) > power gap > analysis > power gap > pure category theory

[Anonymous No.12080014]

>I am not concerned with making difficulties for you as a Jew, but only with protecting – above all – German students of the second semester from being taught differential and integral calculus by a teacher of a race quite foreign to them. I, like everyone else, do not doubt your ability to instruct suitable students of whatever origin in the purely abstract aspects of mathematics. But I know that many academic courses, especially the differential and integral calculus, have at the same time educative value, inducting the pupil not only to a conceptual world but also to a different frame of mind. But since the latter depends very substantially on the racial composition of the individual, it follows that a German student should not be allowed to be trained by a Jewish teacher.
Was he right? What's the difference between a jew's and a german's understanding of differential and integral calculus?

[Anonymous No.12080063]

>>12080014
Yes, he's probably referring to them having influence in academia overall and gradually changing the university that way. I think even Shafarevich said he found Jews were very exclusive in mathematics and got in a bit of trouble for that.

[Anonymous No.12080078]

>>12080014
It's a stretch of him to say that a technical subfield of a geometry field in math "shapes one view of the world" in any socio-historical way. Similarly, I assume ones view on the world barely affects how one learns geometry in math, assuming you really want to understand what's being taught.

In any case, it's obviously just his rhetoric to play the power game.
>I can get my undergrad Prof's canceled, look at my aryan dick
It's cringe.
And about as logical as attacking an armed man with a skateboard.

[Anonymous No.12080115]

>>12079616
>i'm a comp sci autist whose parents made him anxious about his future so i have a hard time giving myself the time to pursue a project that has no immediate (save personal) reward, as opposed to a coding project which i can display and get laughed at for.
You should rather be anxious about living a meaningless life.
Take a second and think what you want out of life. And disregard expectations of your parents of girlfriend to make babies and get a house on the countryside etc - unless that's what you personally want

[Anonymous No.12080174]

>>12080115
>And disregard expectations of your parents of girlfriend to make babies and get a house on the countryside etc - unless that's what you personally want
Based and egopilled

[Anonymous No.12080228]

>>12080174
of course

[Anonymous No.12080258]

>>12080228
are you a native german speaker?

[Anonymous No.12080453]

>>12080258
Yes.
You should read Stirner in the ordinal, it's hella funny.

[Anonymous No.12080601]

If you're interested in writing a /mg/ textbook in elementary mathematics come to
discord.gg/6GFTnGr
Coordinating the effort would be a nightmare if done through 4chan and discord seems like the best option.

[Anonymous No.12080625]

>>12080601
I feel bad for anyone who is cursed to learn arithmetic from whatever meme-filled idiosyncratic tome this endeavor yields.

[Anonymous No.12081013]

>>12080453
I don't know anybody who did not doodle on his Reclam books.

[Anonymous No.12081019]

>>12064980
steinitz exchange lemma is kino

[Anonymous No.12081027]

>>12081019
It's so simple and easy to prove that it doesn't even deserve a name.

[Anonymous No.12081033]

How to do all exercises of hartshorne (except two) if you're a brainlet?

[Anonymous No.12081063]

This thread sucks

[Anonymous No.12081103]

>>12081063
You suck. This thread rocks!

[Anonymous No.12081119]

>>12079077
I've got you covered my man

[Anonymous No.12081129]

I don’t care that bump limit hasn’t been hit, this thread sucks
>>12081118

[Anonymous No.12081348]

What is the best way to go about leaning elementary algebra? I've found Open Stax has a free textbook with many resources that are free as well. Maybe Khan Academy? Calculus by Spivak is the goal.

[Anonymous No.12081357]

>>12081348
on libgen everything is free

[Anonymous No.12081721]

>>12081027
>mathematical induction is legit and simple

the state of undergrads

[Anonymous No.12081932]

>>12081119
I thought this would be a based chart, but it's a total meme, god damn it.

[Anonymous No.12082520]

Why are trannies obsessed with category theory?

[Anonymous No.12082862]

>>12082520
A better question to ask anon might be why you are so obsessed with trannies.

[Anonymous No.12083066]

>>12078091
>>12078205