/sci/ - Science & Math » Thread #14397291

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/mg/ - maths general

Anonymous Fri 15 Apr 12:24:31 2022 No.14397291 View Reply Original Report

Quoted By: >>14397400 >>14398904 >>14398998 >>14404373 >>14404536 >>14407788 >>14411484 >>14415641 >>14417536 >>14417883

Previously >>14369607

Mike Shulman edition.

Talk maths.

Anonymous

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Anonymous Fri 15 Apr 2022 12:30:05 No.14397303 Report

Quoted By:

It's not about any demographic, it's a power game. People learn their place in the power hierarchy and are afraid to say anything. Ironically, tragically, the era of Inclusion is characterized by a very narrow window of what is allowed to be said.

Mike Shulman will not be the last to fall.

Anonymous

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Anonymous Fri 15 Apr 2022 12:30:07 No.14397304 Report

Quoted By:

>Talk maths.

Anonymous

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Anonymous Fri 15 Apr 2022 12:39:24 No.14397327 Report

Quoted By:

It's fair to say that a Hom functor acting on a whole model v of ZF is an object os bug that it can't be an element of that v? Right?

Anonymous

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Anonymous Fri 15 Apr 2022 12:40:50 No.14397330 Report

Quoted By: >>14397343

Is sex at all socially relevant?
Does Fishers theory take a stance on that?

Anonymous

Anonymous Fri 15 Apr 2022 12:51:05 No.14397343 Report

Quoted By:

>>14397330
anitranny?

Anonymous

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Anonymous Fri 15 Apr 2022 12:54:00 No.14397347 Report

Quoted By:

>Talk maths.

Anonymous

Anonymous Fri 15 Apr 2022 13:02:05 No.14397355 Report

Quoted By:

>X edition.
>post about X
>get warning/ban
okay

Anonymous

Anonymous Fri 15 Apr 2022 13:22:10 No.14397400 Report

Quoted By: >>14397429

>>14397291
0.99999999999 is not 1.

Anonymous

Anonymous Fri 15 Apr 2022 13:37:06 No.14397429 Report

Quoted By:

>>14397400
Obviously

Anonymous

Anonymous Fri 15 Apr 2022 14:22:21 No.14397520 Report

Quoted By:

a2 + b2 = d2

Anonymous

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Anonymous Fri 15 Apr 2022 14:46:31 No.14397562 Report

Quoted By: >>14397633 >>14414104

how to prove phi exists and H is smooth?

Anonymous

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Anonymous Fri 15 Apr 2022 15:31:21 No.14397633 Report

Quoted By: >>14398233

>>14397562
>phi exists
Bump functions.
>H is smooth
Piecewise.

Anonymous

Anonymous Fri 15 Apr 2022 16:44:55 No.14397790 Report

Quoted By: >>14397795 >>14397896

Please tell me where the old straight white men are

Anonymous

Anonymous Fri 15 Apr 2022 16:47:03 No.14397795 Report

Quoted By: >>14397965

>>14397790
Is it PDEs (please say yes)?

Anonymous

Anonymous Fri 15 Apr 2022 16:53:27 No.14397814 Report

Quoted By:

>job requires me to use calculus regularly
>only passed calculus series because of covid and taking exams at home with symbolab open.
uhhhhhh

Anonymous

Anonymous Fri 15 Apr 2022 17:16:04 No.14397876 Report

Quoted By: >>14397880 >>14397893 >>14398218 >>14403532 >>14406049 >>14413382

Best uni for Masters in pure mathematics? (none of that cringe applied or teacher path stuff)

Anonymous

Anonymous Fri 15 Apr 2022 17:17:27 No.14397880 Report

Quoted By:

>>14397876
fully online*

Anonymous

Anonymous Fri 15 Apr 2022 17:20:00 No.14397893 Report

Quoted By:

>>14397876
i first time heard pure math here therefore i conclude
>Not a thing

Anonymous

Anonymous Fri 15 Apr 2022 17:21:49 No.14397896 Report

Quoted By: >>14398016 >>14399933

>>14397790
On every field.
You do realize most mathematicians used to be straight white men, right? Even category theory was originally created by straight white men.

Anonymous

Anonymous Fri 15 Apr 2022 17:55:17 No.14397965 Report

Quoted By:

>>14397795
It really is.

Anonymous

Anonymous Fri 15 Apr 2022 18:18:30 No.14398016 Report

Quoted By: >>14398036

>>14397896
Eilenberg is jewish.

Anonymous

Anonymous Fri 15 Apr 2022 18:26:50 No.14398025 Report

Quoted By: >>14398132

Does it ever get easier?

Anonymous

Anonymous Fri 15 Apr 2022 18:32:52 No.14398036 Report

Quoted By:

>>14398016
Jews can cope and seethe about it for the remainder of eternity but they're still white.

Anonymous

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Anonymous Fri 15 Apr 2022 19:15:29 No.14398132 Report

Quoted By: >>14411491

>>14398025

Anonymous

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Anonymous Fri 15 Apr 2022 19:32:40 No.14398161 Report

Quoted By: >>14398177 >>14405241

Where do I get a math bf?

Anonymous

Anonymous Fri 15 Apr 2022 19:39:37 No.14398177 Report

Quoted By: >>14405241

>>14398161
\mathbf

Anonymous

Anonymous Fri 15 Apr 2022 20:05:45 No.14398218 Report

Quoted By: >>14398473

>>14397876
Columbia
Indiana State
Emporia State
Central methodist (Non-thesis)
Montclair State
For quality applied/Computational you have;
University of Washington
Texas A&M
John Hopkins

More programs are going online every year. In 2020, I think JHU and UW were the only game in town.

I wouldn't say there is a best one, just check the curriculum and what the staff in the university does for research if you're going in the thesis option.

Anonymous

Anonymous Fri 15 Apr 2022 20:14:10 No.14398229 Report

Quoted By: >>14398235 >>14398246 >>14411328

what is the most female field of math? seems like knot theory to me

Anonymous

Anonymous Fri 15 Apr 2022 20:15:45 No.14398233 Report

Quoted By:

>>14397633
>Piecewise
give a point where it's not smooth

Anonymous

Anonymous Fri 15 Apr 2022 20:16:51 No.14398235 Report

Quoted By: >>14398272

>>14398229
Unironically homological algebra. They like the diagrams for some reason.

Anonymous

Anonymous Fri 15 Apr 2022 20:19:40 No.14398246 Report

Quoted By: >>14398272

>>14398229
Statistics

Anonymous

Anonymous Fri 15 Apr 2022 20:29:00 No.14398272 Report

Quoted By: >>14398283

>>14398235
I agree. Seems every troon is doing some field with "homo" in the name just for that reason.

>>14398246
That's the most racist field.

Anonymous

Anonymous Fri 15 Apr 2022 20:34:43 No.14398283 Report

Quoted By: >>14398286

>>14398272
so trans=female?

Anonymous

Anonymous Fri 15 Apr 2022 20:35:55 No.14398286 Report

Quoted By: >>14398501

>>14398283
Yeah, I don't want Tim Gowers(Tranny lover) to cancel me.

Anonymous

Anonymous Fri 15 Apr 2022 21:30:31 No.14398416 Report

Quoted By:

I HATE DEFINITE INTEGRALS
I HATE DEFINITE INTEGRALS
I HATE DEFINITE INTEGRALS

Anonymous

Anonymous Fri 15 Apr 2022 21:50:01 No.14398473 Report

Quoted By: >>14398490

>>14398218
thanks anon, most fully online seem to be tailored for those on track for applied or teaching. Most of the pure mathematics online ones have a small course catalog (ie only algebra + analysis and maybe 1,2 more courses)

Anonymous

Anonymous Fri 15 Apr 2022 21:55:15 No.14398490 Report

Quoted By: >>14400181 >>14403537

>>14398473
Yeah, and to be fair even in universities, the pure math masters isn't as available as applied. Maybe its assumed that if you're going for pure math after your undergraduate degree, you'll go straight into a PhD, while applied are setup for professional track and employees of large companies that are paying for the whole thing.
Maybe its just me, but it seems there is a stigma for the BS->MS->PhD track in the USA, or pure math students who intend to work instead of spending their entire life in academia. Heard some bad stories from Courant institute MS students.

Anonymous

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Anonymous Fri 15 Apr 2022 21:58:34 No.14398501 Report

Quoted By: >>14398512 >>14399210

>>14398286
Timmy Gowers WILL cancel you.
Some tranny WILL get your funding.
Said tranny WILL redo some results in the language of homology/homotopy/I don't even know and call it a paper.
Timmy Gowers WILL keep his fairy godparents.
You WILL like it.

Anonymous

Anonymous Fri 15 Apr 2022 22:03:44 No.14398512 Report

Quoted By: >>14398695

>>14398501
There are 0 (zero) trannies in actuarial mathematics.
Timmy Gowers DOES earn less than me.
No tranny will EVER get funding from a finance firm to complete a graduate program.
Said tranny WILL work for destitute wages at a low tier university.
I do NOT know what "fairy godparents" means.
I WILL enjoy my life with math + money.

Anonymous

Anonymous Fri 15 Apr 2022 23:31:40 No.14398687 Report

Quoted By:

All non-2 number bases are trivia unto themselves

Anonymous

Anonymous Fri 15 Apr 2022 23:34:22 No.14398695 Report

Quoted By:

>>14398512
>actuarial mathematics
This thread is for mathematics, you'll want to create a general for actuarial science or an economics/finance/whatever general.

Anonymous

Anonymous Sat 16 Apr 2022 01:14:16 No.14398904 Report

Quoted By: >>14398913 >>14398926 >>14399012

>>14397291
explain how this coordinate will always make a circle
$(\cos(\theta), \sin(\theta))$
$\theta = \{1,...,10\}$

Anonymous

Anonymous Sat 16 Apr 2022 01:19:44 No.14398913 Report

Quoted By: >>14398976

>>14398904
?????

Anonymous

Anonymous Sat 16 Apr 2022 01:26:57 No.14398926 Report

Quoted By:

>>14398904
it's true if you make that set into an interval

Anonymous

Anonymous Sat 16 Apr 2022 01:51:22 No.14398976 Report

Quoted By: >>14399012 >>14399014

>>14398913
https://www.desmos.com/calculator/x0du0ujajv

Anonymous

Anonymous Sat 16 Apr 2022 02:02:58 No.14398998 Report

Quoted By: >>14399012 >>14399046 >>14399092

>>14397291
is this true?
$\frac{p}{q} = \frac{q}{\left(\frac{q^2}{p}\right)}$

Anonymous

Anonymous Sat 16 Apr 2022 02:09:53 No.14399012 Report

Quoted By:

>>14398904
you used discrete values of theta when you're really using real values for
>>14398976
its the unit circle with radius 1. Open a trigonometry book to learn more.
>>14398998
yes, just cancel a q and throw the p on top.

/sci/ is just a homework board for the edgy /pol/ kids

Anonymous

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Anonymous Sat 16 Apr 2022 02:11:20 No.14399014 Report

Quoted By:

>>14398976
is this familiar to you? if you know how cosine and sine are defined in terms of right triangles then it should be clear why that function draws out a circle

Anonymous

Anonymous Sat 16 Apr 2022 02:20:49 No.14399046 Report

Quoted By:

>>14398998
>linear
seems like it
https://www.desmos.com/calculator/eqnomdumnq

Anonymous

Anonymous Sat 16 Apr 2022 02:40:53 No.14399092 Report

Quoted By: >>14399125

>>14398998
With the added restriction that p cannot be 0.

Anonymous

Anonymous Sat 16 Apr 2022 02:56:18 No.14399125 Report

Quoted By:

>>14399092
I thought it's obvious that it's about fraction

Anonymous

Anonymous Sat 16 Apr 2022 03:48:07 No.14399210 Report

Quoted By:

>>14398501
Good.

Anonymous

Anonymous Sat 16 Apr 2022 09:18:39 No.14399633 Report

Quoted By:

What's with the school question here?

Anonymous

Anonymous Sat 16 Apr 2022 12:09:51 No.14399933 Report

Quoted By: >>14399962 >>14400399

>>14397896
Yesterday showed us that HoTT was made by women and trannies.

Anonymous

Anonymous Sat 16 Apr 2022 12:36:13 No.14399962 Report

Quoted By:

>>14399933
Good.

Anonymous

Anonymous Sat 16 Apr 2022 13:26:52 No.14400056 Report

Quoted By:

Should I take an advanced Applied Math course, Data Anal with R, or nonlinear optimization course?

Anonymous

Anonymous Sat 16 Apr 2022 14:13:03 No.14400181 Report

Quoted By:

>>14398490
The MS programs are often self-funded with less access to loans/scholarships than for BS. So universities primarily respond to demand and provide MS programs that are popular and useful in industry (e.g. specializations or people pivoting fields).

Anonymous

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Anonymous Sat 16 Apr 2022 16:05:03 No.14400399 Report

Quoted By: >>14400565

>>14399933
HoTT was made by Voevodsky, who was straight, white and male.

Anonymous

Anonymous Sat 16 Apr 2022 17:15:26 No.14400565 Report

Quoted By: >>14400896 >>14400919 >>14401455

>>14400399
He supported the they/them change in the book.

Anonymous

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Anonymous Sat 16 Apr 2022 18:18:26 No.14400705 Report

Quoted By:

does it really be like this?

Anonymous

Anonymous Sat 16 Apr 2022 18:32:35 No.14400727 Report

Quoted By:

>indefinite integrals via multiple methods, primarily involving trigonometric functions

Yeah, I'm filtered.

Anonymous

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Anonymous Sat 16 Apr 2022 18:59:44 No.14400801 Report

Quoted By: >>14400840

For what values of is pic related positive in all of it's domain?

Anonymous

Anonymous Sat 16 Apr 2022 19:16:16 No.14400840 Report

Quoted By:

>>14400801
Near 0, it goes to infinity (because of log), and as you go to infinity, x^2 dominates (grows faster than log), so it's also going to infinity.
That means that somewhere you have a minimum.

Find it, and make the value of the function positive.

Anonymous

Anonymous Sat 16 Apr 2022 19:36:01 No.14400896 Report

Quoted By: >>14400901

>>14400565
Instead of "he or she". Honestly an improvement.

Anonymous

Anonymous Sat 16 Apr 2022 19:37:42 No.14400901 Report

Quoted By: >>14400904 >>14400925

>>14400896
No, that's mental illness.

Anonymous

Anonymous Sat 16 Apr 2022 19:40:26 No.14400904 Report

Quoted By:

>>14400901
It's both more elegant and futureproofed

Anonymous

Anonymous Sat 16 Apr 2022 19:48:17 No.14400918 Report

Quoted By: >>14405283 >>14405523

Remember that anitranny poster? I'm glad HE fucked off forever.

Anonymous

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Anonymous Sat 16 Apr 2022 19:49:18 No.14400919 Report

Quoted By:

>>14400565
I know, I was there when we used the ouija board to ask him his opinion on the subject.

Anonymous

Anonymous Sat 16 Apr 2022 19:51:56 No.14400925 Report

Quoted By: >>14415466

>>14400901
Yeah, people since the 14th century have been wrong. Totally invalid: https://en.wikipedia.org/wiki/Singular_they

Anonymous

Anonymous Sat 16 Apr 2022 20:02:49 No.14400950 Report

Quoted By: >>14400958 >>14400996 >>14400999 >>14401001

Any recommendations for a textbook on ODE's that aren't tainted by retarded physics notation for people that already have linalg and some analysis knowledge?
I checked 2 books from the sticky, one of them was using the term "Barrow's Theorem" instead of FToC and referred to x-y axes as abscissa and ordinate and I tapped out immediately. The other one (Hirsch and Smale) was going okay until I saw A and B used for constant real numbers and now I'm unsure whether I have the strength to keep going.

Anonymous

Anonymous Sat 16 Apr 2022 20:05:26 No.14400958 Report

Quoted By: >>14400968

>>14400950
Christ, stop being such a faggot.

Anonymous

Anonymous Sat 16 Apr 2022 20:09:08 No.14400968 Report

Quoted By: >>14400970

>>14400958
Nobody will force me to spend half my reading time trying to parse subhuman physics language.

Anonymous

Anonymous Sat 16 Apr 2022 20:10:54 No.14400970 Report

Quoted By: >>14400973 >>14400995

>>14400968
If it takes you that much time to figure out notations then maybe you shouldn't be in this field in the first place.

Anonymous

Anonymous Sat 16 Apr 2022 20:12:17 No.14400973 Report

Quoted By:

>>14400970
Sadly, I WILL be in this field. Cry about it.

Anonymous

Anonymous Sat 16 Apr 2022 20:23:22 No.14400995 Report

Quoted By:

>>14400970
Math/physics isn't about making everything a jumble of notations so you can look smart to normies, tranny. Everyone else can see right through you. Go work on your homologotypo timesink garbage.

Anonymous

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Anonymous Sat 16 Apr 2022 20:24:12 No.14400996 Report

Quoted By: >>14400999

>>14400950
>using the term "Barrow's Theorem" instead of FToC and referred to x-y axes as abscissa and ordinate
That's not physics notation you fucking chimpanzee.

Anonymous

Anonymous Sat 16 Apr 2022 20:25:29 No.14400999 Report

Quoted By:

>>14400950
Anyway, currently checking out the textbook by Sideris and it seems to mostly be what I'm looking for. However, I'm still open to other suggestions.

>>14400996
Wherever the fuck the notation comes from, I don't want any of it.

Anonymous

Anonymous Sat 16 Apr 2022 20:26:20 No.14401001 Report

Quoted By:

>>14400950
I know several such books but fuck you. :)

Anonymous

Anonymous Sat 16 Apr 2022 20:30:51 No.14401005 Report

Quoted By: >>14401019

I'm scared of failing the senester again...

Anonymous

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Anonymous Sat 16 Apr 2022 20:31:54 No.14401008 Report

Quoted By: >>14401011 >>14401017 >>14401035 >>14401058 >>14401483 >>14412985

I noticed that my school offers no courses on category theory and the wiki suggests no books on the subject. Why is that? Any recommendations for learning about the subject or is it not something I should bother with as an undergrad?

Anonymous

Anonymous Sat 16 Apr 2022 20:32:50 No.14401011 Report

Quoted By:

>>14401008
Is category theory not just a subset of set theory?

Anonymous

Anonymous Sat 16 Apr 2022 20:35:23 No.14401017 Report

Quoted By: >>14401048 >>14414184

>>14401008
>I noticed that my school offers no courses on category theory
Are you sure? Maybe there are and you just don't fulfill the prerequisites (being on HRT)

Anonymous

Anonymous Sat 16 Apr 2022 20:35:40 No.14401019 Report

Quoted By:

>>14401005
Just open up symbolab while taking your exam, bro. You ARE taking the course to maintain social distancing, aren't you?

Anonymous

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Anonymous Sat 16 Apr 2022 20:43:34 No.14401035 Report

Quoted By: >>14401040 >>14401048

>>14401008
Which wiki?
The google wiki or the ugly as sin fandom wiki?
I don't think anyone still edits either.
>Any recommendations for learning about the subject or is it not something I should bother with as an undergrad?
It isn't, but you can download Riehl's book for free on her website and it's pretty decent.

Anonymous

Anonymous Sat 16 Apr 2022 20:45:02 No.14401040 Report

Quoted By: >>14401060

>>14401035
>Riehl
She defended the they/them change in the HoTT book.

Anonymous

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Anonymous Sat 16 Apr 2022 20:49:50 No.14401048 Report

Quoted By:

>>14401017
100% I checked the academic calendar and there were no courses that even mentioned categories. HRT requirements are clearly labeled for other courses so I don't think that's the problem either.

>>14401035
Thanks! I was checking the ugly fandom wiki, I was not aware there was another. Shame that its not maintained seems like a pretty good starting place when looking for literature, at least to my untrained eyes. I will check out the book over the summer.

Anonymous

Anonymous Sat 16 Apr 2022 20:57:05 No.14401058 Report

Quoted By:

>>14401008
In many universities, the amount you initially need if covered as you learn commutative algebra, AT or AG.
Standard graduate algebra books like Jacobson, Aluffi and Rotman also have brief coverage.

Anonymous

Anonymous Sat 16 Apr 2022 20:57:34 No.14401060 Report

Quoted By:

>>14401040
Not surprising coming from a tranny.

Anonymous

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Anonymous Sat 16 Apr 2022 21:32:57 No.14401127 Report

Quoted By:

wow this general went to shit.
it was shit before but, wow.
damn.

Anonymous

Anonymous Sat 16 Apr 2022 21:33:37 No.14401128 Report

Quoted By:

Categories For The Trans Mathematician - Sandra McLane

Anonymous

Anonymous Sat 16 Apr 2022 22:29:08 No.14401257 Report

Quoted By: >>14401623

What is representation theory used for currently?

Anonymous

Anonymous Sat 16 Apr 2022 23:09:26 No.14401316 Report

Quoted By: >>14401321 >>14401343 >>14401348 >>14414994

Anyone wanna check my combinatorics programming? It's not homework and I have no one to check with because it's a non-standard interpretation of a popular problem. I guess I'll try stackoverflow if this fails.

I heard the problem "count all games of tic-tac-toe" was a good one to practice programming with so I tried it. I interpreted it as count all FINISHED/END states of the game, not as every possible path through the game (much larger number). I seem to have misunderstood the intended question as I worked on the end-states version but whatever, just check anyway.

So given 9 spaces on the board and 3 choices for each (nothing, X, and O) you can start with 3^9 = 19683 possible boards given no limitations whatsoever.

(I make no assumptions about which player goes first or if they're playing smartly. So it's valid to misplay and extend a game you could have won. You can also have absolutely stupid games like [2, 2, 1, 2, 2, 1, 1, 1, 1] where 1 wins vertically and horizontally. This is legal as long as that corner piece gets filled last, ending the game for 1's favor.)

I cut out games where X and O both won which is nonsense, now it's at 19371.

I cut out games where player X or player O had a piece count advantage. They need to have the same number of pieces or be within 1 piece at all times. 8725 left.

I cut out boards that are too empty. You need at minimum 5 moves to have a finished game that someone won. 7374 left.

Then I broke down the 7374 into games that X won, O won, or were tied. I eliminated all the ties that were not full boards. You need to fill the board to have a valid tie. It's now 2108 which is my answer (32 ties, 1038 won by X, 1038 won by O).

Anonymous

Anonymous Sat 16 Apr 2022 23:11:07 No.14401321 Report

Quoted By:

>>14401316
Not sharing the code because it looks retarded and I'll have to clean it up before going to stackoverflow if no one verifies here. Feel free to program it yourself it's good practice

Anonymous

Anonymous Sat 16 Apr 2022 23:24:39 No.14401343 Report

Quoted By: >>14401416

>>14401316
>I seem to have misunderstood the intended question as I worked on the end-states version
There aren't that many games anyways; just 9! ~ 300k. Try solving it by playing the games through backtracking.

Your solution for this version seems right.
Extra work: Find the number of states up to reflections/rotations of the board.

Anonymous

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Anonymous Sat 16 Apr 2022 23:26:03 No.14401348 Report

Quoted By: >>14401383 >>14401440

>>14401316
>I cut out games where player X or player O had a piece count advantage. They need to have the same number of pieces or be within 1 piece at all times. 8725 left.
Did you remember to ensure that the side with the extra piece won or that there was a tie?

Anonymous

Anonymous Sat 16 Apr 2022 23:35:00 No.14401360 Report

Quoted By: >>14401367

Is UC Santa Cruz a good program?

Anonymous

Anonymous Sat 16 Apr 2022 23:37:14 No.14401367 Report

Quoted By: >>14401467

>>14401360
for?

Anonymous

Anonymous Sat 16 Apr 2022 23:44:53 No.14401383 Report

Quoted By: >>14401389

>>14401348
>Did you remember to ensure that the side with the extra piece won or that there was a tie?
Hmmm... is that necessary? Can't I lose with an extra piece, for example, if I went first, began filling a 2x2 square at the upper left while you made a horizontal at the bottom? So like

[1, 1, 0,
1, 1, 0
2, 2, 2]

? I make no assumptions about which player goes first or logical play. Clearly in the above board I should have blocked your bottom horizontal at some point but the game is valid even if someone plays stupidly

Anonymous

Anonymous Sat 16 Apr 2022 23:46:37 No.14401389 Report

Quoted By: >>14401440

>>14401383
Ah nvm so I couldn't drop a 4th "1" if 2 already won, got it. And if I have the higher count of pieces then I must have went first in the game. Ok so I'm counting some invalid boards. I'll work on this

Anonymous

Anonymous Sat 16 Apr 2022 23:57:58 No.14401416 Report

Quoted By:

>>14401343
>There aren't that many games anyways; just 9! ~ 300k. Try solving it by playing the games through backtracking.
Yeah that's what people were talking about where I found the problem. I'm not quite there yet on recursion principles but it's my next goal

>Extra work: Find the number of states up to reflections/rotations of the board.
I've also read this reflections/rotations terminology googling about this problem (people are usually talking about the 9! bounded version not 3^9) and I don't really get it. So considering rotations and reflections it would be fewer boards, correct? So it's like most games would be one of a smaller more limited set of games, except they're rotated/reflected.

So what does your question ask, to only seek truly unique games that are not reflections/rotations of each other? Idk how to begin on that one

Anonymous

Anonymous Sun 17 Apr 2022 00:17:34 No.14401440 Report

Quoted By: >>14402658 >>14415463

>>14401348
>>14401389
Idk how you picked up on this gap in my thinking so quickly btw I was working on this all day yesterday

Anonymous

Anonymous Sun 17 Apr 2022 00:23:20 No.14401455 Report

Quoted By:

>>14400565
He's dead for years

Anonymous

Anonymous Sun 17 Apr 2022 00:30:18 No.14401467 Report

Quoted By: >>14401486

>>14401367
A masters, no specialization yet.

Anonymous

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Anonymous Sun 17 Apr 2022 00:39:00 No.14401483 Report

Quoted By:

>>14401008
Some schools might have it, but I'd you're well prepared for it you will probably have had algebraic topology, at which point you should be able to learn it on your own. Remember, school is not for learning. It's just for getting a piece of paper that says you "know" something and chances are you will be judged by the lowest common denominator. If you don't start self learning now and see school as just another souless means to and end then you're ngmi. Remember, Fermat was a lawyer and Heaviside was self taught.

That said pick up Maclane, if you must Rheil is not bad.

Anonymous

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Anonymous Sun 17 Apr 2022 00:41:10 No.14401486 Report

Quoted By:

>>14401467
If you're doing a master's pick the school by faculty and not by name. Unless you believe you can get into a top 10 for a master's just focus on what you want to research and find an advisor. I'm assuming you want to pursue a docterate afterwards, otherwise it literally doesn't matter.

Anonymous

Anonymous Sun 17 Apr 2022 02:02:09 No.14401623 Report

Quoted By:

>>14401257
Affirmative action. Representation matters.

Anonymous

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Anonymous Sun 17 Apr 2022 03:09:40 No.14401822 Report

Quoted By: >>14401905 >>14402227 >>14402253 >>14402677 >>14402981 >>14403235 >>14404154 >>14404656

Never felt so thoroughly humiliated than when taking my first quiz on derivative subtitution.
>practice tons of easy problems in the textbook, getting eased into the concept.
>get to graded work
$\int_{1}^{2} x(2-x)^{99} \,dx$
>spend half the time on a single problem, feel like a dumb faggot and get everything else wrong by rushing.

Is there a secret meeting where math professors go to where they think of the most cruel and time consuming problems to throw when you're under time pressure?

Anonymous

Anonymous Sun 17 Apr 2022 03:53:13 No.14401905 Report

Quoted By: >>14401923

>>14401822
They probably do have a secret meeting like this, but in the end, it's for your own good as you get experience with real challenges.

Anonymous

Anonymous Sun 17 Apr 2022 04:05:36 No.14401923 Report

Quoted By:

>>14401905
Is it really? The hardest questions I've received have all been on online quizzes. The tests and homework are significantly easier. No matter how few points, the quizzes are still worth SOME points, and I'm too prideful to use wolfram, and just leave that shit blank. Resigned myself to be a perpetual B student.

Anonymous

Anonymous Sun 17 Apr 2022 06:46:31 No.14402227 Report

Quoted By: >>14403121

>>14401822
It's a quiz about substitution. What did you think the substitution was going to be?

Anonymous

Anonymous Sun 17 Apr 2022 06:59:30 No.14402253 Report

Quoted By: >>14403121

>>14401822
Decide if you want to be good at taking tests or maths.

Anonymous

Anonymous Sun 17 Apr 2022 10:08:04 No.14402557 Report

Quoted By: >>14402581 >>14403224

>this series is convergent by the piss and shit convergence theorem version #108
>however it is not cum fuck continuous because it is not anus tits integrable

Why the fuck is analysis like this? There's a billion different kinds of continuity/integrability/convergence theorems.
I didn't go into math for memorization

Anonymous

Anonymous Sun 17 Apr 2022 10:32:26 No.14402581 Report

Quoted By: >>14402658 >>14403216 >>14403231 >>14403548

>>14402557
Continuous
Uniformly continuous
Absolutely continuous
Lipschitz continuous
Monotone convergence theorem
Vitali convergence theorem (I've seen 4 versions of this)
Dominated convergence theorem
Lebesgue dominated convergence
Bounded convergence theorem
Riemann integrable
Lebesgue integrable
Uniformly integrable
Convergent
Absolutely convergent
Conditionally convergent
Uniformly convergent
Differentiable
Continuoisly differentiable
Infinitely differentiable
Analytic
Triangle inequality
Hölder's inequality
Jensen's inequality
Cauchy Schwarz inequality
Chebyshev's inequality
Minkowski's inequality
Young's inequality

Good luck memorizing them when each one is named after a person and doesn't illuminate what the concept means.

Anonymous

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Anonymous Sun 17 Apr 2022 11:15:04 No.14402658 Report

Quoted By: >>14402936

>>14401440
Checking other people's work for mistakes is infinitely easier than checking your own work. When you try to comb over something you made for errors your brain automatically fills in gaps and recalls whatever it is you meant.
>>14402581
>each one is named after a person
Robert Continuous and John Differentiable contributed to mathematics more than you could ever hope to and we've been honoring them like this for centuries, changing it all now is ridiculous.

Anonymous

Anonymous Sun 17 Apr 2022 11:30:28 No.14402677 Report

Quoted By: >>14403121

>>14401822
Just expand and its trivial lol

Anonymous

Anonymous Sun 17 Apr 2022 11:37:30 No.14402696 Report

Quoted By: >>14403451

let G be a simple graph with minimum degree k, how do i show that there are at least k-1 cycles of distinct lengths

Anonymous

Anonymous Sun 17 Apr 2022 13:36:55 No.14402936 Report

Quoted By:

>>14402658
>Robert Continuous and John Differentiable contributed to mathematics more than you could ever hope to
Okay

Anonymous

Anonymous Sun 17 Apr 2022 13:52:25 No.14402981 Report

Quoted By: >>14403121

>>14401822
> practice tons of easy problems
how is that not an easy problem?

Anonymous

Anonymous Sun 17 Apr 2022 14:22:37 No.14403064 Report

Quoted By: >>14403092

Anyone know a good lecture series for second semester algebra topics (modules, fields, galois theory)? I was looking around for Artin's recorded lectures but it seems they're no longer on the MIT website. Also saw that Ted Chinburg at UPenn had posted lectures online about a decade ago but they've been deleted.

Anonymous

Anonymous Sun 17 Apr 2022 14:28:10 No.14403092 Report

Quoted By: >>14403107 >>14403269

>>14403064
prof borcherds has excellent advanced algebra lectures available for free on youtube

Anonymous

Anonymous Sun 17 Apr 2022 14:32:50 No.14403107 Report

Quoted By: >>14403269

>>14403092
Literally who?

Anonymous

Anonymous Sun 17 Apr 2022 14:35:42 No.14403121 Report

Quoted By: >>14403173 >>14403183

>>14402227
The same canned problems from the textbook.

>>14402253
I did well on intro to proofs and it was enjoyable. Donf get me wrong, I also enjoy calculus, I just can't stand these quizzes. They're 20 minutes and I get my ass kicked every single week.

>>14402981
>>14402677
Its only 20 minutes for something like 7 problems of this type, plus one or two more proof/concept based ones.
I only have one more quiz next week, and I final exam the week after that, so at least its over. Scared that the same quiz format will be used in Calc II though, integration does not seem like the kind of thing you can mechanically rush when there are so many dead ends.

Anonymous

Anonymous Sun 17 Apr 2022 14:50:00 No.14403173 Report

Quoted By: >>14403183 >>14403326

>>14403121
Your first first thought after doing all those canned problems should have been "define u = 2 - x and substitute." If you do that, you get int((2-u)(u)^99 = int(2u^99 - u^100) which you can them split up into two integrals. Which part of this was not obvious to you?

Anonymous

Anonymous Sun 17 Apr 2022 14:52:37 No.14403183 Report

Quoted By:

>>14403121
>>14403173
You also have to change the sign in this case because dx = - du, and you need to adjust the limits, but you should have had enough experience doing stuff like that as well.

Anonymous

Anonymous Sun 17 Apr 2022 14:59:29 No.14403213 Report

Quoted By: >>14403220

is the following a valid proof that reversing the orientation on a manifold flips the sign of the integral of a form?
suppose $\omega$ is supported in an orientation-preserving chart $(U,\phi)$ and an orientation-reversing chart $(U,\psi)$ (if the domains of the charts are unequal we can shrink them). then $\int_{-M}\omega=\int_{\psi(U)}(\psi^{-1})^*\omega=-\int_{\phi(U)}(\psi\circ\phi^{-1})^*(\psi^{-1})^*\omega=-\int_{\phi(U)}(\phi^{-1})^*\omega=\int_M\omega$ . the general case follows by partition of unity

intuitively the proposition makes sense, i just wanted to make sure the proof is formally correct

Anonymous

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Anonymous Sun 17 Apr 2022 15:00:26 No.14403216 Report

Quoted By: >>14403227 >>14403269

>>14402581

Anonymous

Anonymous Sun 17 Apr 2022 15:01:21 No.14403220 Report

Quoted By:

>>14403213
shit, missed a - there

Anonymous

Anonymous Sun 17 Apr 2022 15:02:12 No.14403224 Report

Quoted By:

>>14402557
>Why the fuck is analysis like this?
They ran out of applications and idol's theories, so there's a many math directions as well formed predicates.

Anonymous

Anonymous Sun 17 Apr 2022 15:03:24 No.14403227 Report

Quoted By:

>>14403216
good effort

Anonymous

Anonymous Sun 17 Apr 2022 15:04:25 No.14403231 Report

Quoted By: >>14403236 >>14403269

>>14402581
On the other hand, if you master these ideas then you've mastered (undergraduate) analysis. Meanwhile in algebra the vocabulary is 10 times as large but each concept is 10 times less meaningful.

Anonymous

Anonymous Sun 17 Apr 2022 15:05:21 No.14403235 Report

Quoted By: >>14403326

>>14401822
Just run integration by parts and let k=99 to make it less messy, then after you get your result plug k=99 and you're done.

Anonymous

Anonymous Sun 17 Apr 2022 15:05:26 No.14403236 Report

Quoted By: >>14403246 >>14403258

>>14403231
Since when Lebesgue Integrals are an undergraduate subject?

Anonymous

Anonymous Sun 17 Apr 2022 15:08:01 No.14403246 Report

Quoted By: >>14403258

>>14403236
Well, curriculums vary, but in my second semester of analysis we spent half the term on measure theory and lebesgue integration.

Anonymous

Anonymous Sun 17 Apr 2022 15:11:12 No.14403258 Report

Quoted By:

>>14403236
>>14403246
I guess you're right if you're going by GRE topics or something.

Anonymous

Anonymous Sun 17 Apr 2022 15:14:45 No.14403269 Report

Quoted By:

>>14403107
>>14403092
1998 Fields medalist: https://en.wikipedia.org/wiki/Richard_Borcherds
His videos aren't actually lectures; they're more like overviews. He doesn't go into the details.

>>14403231
>Meanwhile in algebra the vocabulary is 10 times as large but each concept is 10 times less meaningful.
Which is why it's nicer.

>>14403216
Pretty much. Anyways, just came out of my exam, and we didn't do well.

Anonymous

Anonymous Sun 17 Apr 2022 15:20:44 No.14403286 Report

Quoted By:

math is impossible

Anonymous

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Anonymous Sun 17 Apr 2022 15:29:10 No.14403307 Report

Quoted By: >>14403310 >>14403394

How do I prove this? a and b belong to a group G.

Anonymous

Anonymous Sun 17 Apr 2022 15:30:12 No.14403310 Report

Quoted By: >>14403320

>>14403307
Start by writing down what it means for an element v to be the inverse of (a*b).

Anonymous

Anonymous Sun 17 Apr 2022 15:34:40 No.14403320 Report

Quoted By: >>14403414 >>14403649

>>14403310
((a*b)^-1)*(a*b)=e
((a*b)^-1)*(a*b)*b^-1=e*b^-1
((a*b)^-1)*a*(b*b^-1)=b^-1
((a*b)^-1)*a*e=b^-1
((a*b)^-1)*a*a^-1=(b^-1)*(a^-1)
(a*b)^-1=(b^-1)*(a^-1)

Is this right?

Anonymous

Anonymous Sun 17 Apr 2022 15:35:45 No.14403326 Report

Quoted By:

>>14403173
I was able to solve it, but it took me 10 of the 20 minutes. Please don't be mean, I am sensitive.

>>14403235
This is probably what was expected and I missed it.

Anonymous

Anonymous Sun 17 Apr 2022 16:05:29 No.14403394 Report

Quoted By:

>>14403307
Multiply both sides by ab.

Anonymous

Anonymous Sun 17 Apr 2022 16:14:40 No.14403414 Report

Quoted By:

>>14403320
Yup

Anonymous

Anonymous Sun 17 Apr 2022 16:33:12 No.14403451 Report

Quoted By: >>14404331

>>14402696
Let $v_0v_1v_2\cdots v_r$ be a longest path in G (the longest path is not necessarily unique). Because this path is longest, none of $v_0$ 's neighbours can lie outside the set $\{v_1,v_2,\cdots , v_r\}$ .
Therefore, in addition to being adjacent to $v_1$ , $v_0$ is adjacent to k-1 other vertices in $\{v_2,\cdots , v_r\}$ , each of which completes a cycle with $v_0$ of different length along the path.

Anonymous

Anonymous Sun 17 Apr 2022 16:36:09 No.14403459 Report

Quoted By:

U guys r liek a family 2 me

Anonymous

Anonymous Sun 17 Apr 2022 17:08:38 No.14403532 Report

Quoted By: >>14403562 >>14403597 >>14403642 >>14406940 >>14416066

>>14397876
>Masters
>Pure Mathematics
Hahahahahahaha what a fucking failure. Can you imagine? Imagine! Imagine just for a second getting a masters in pure math. You really don't understand American academia if you're asking something like that.

Let me tell ya kid, it basically doesn't exist because no one gets a masters in pure math. It's useless. If you're going that route seriously you should be going for a PhD because the only path is academia. It's like getting a masters in theoretical physics fucking no one does it and professors look down on you for even asking. Basically the only people with these sort of masters dropped out of their PhD programs.

I would ask, why the fuck are you going for a masters and not a PhD? You scoff at applied work so it's not like you're looking for a job. If your ultimate goal is a PhD anyway, why are you so much of a failure that you can't get into a program?

Anonymous

Anonymous Sun 17 Apr 2022 17:13:09 No.14403537 Report

Quoted By:

>>14398490
Well it makes sense why there's a stigma. It's mostly in the harder stem fields. You can't do anything with a masters in some of these fields. A masters in pure math looks bad on a resume. No industry uses it and you can't get anything out of academia with it.

This is the crux of why you might sense a stigma out of the academics. You only advance in that world with a PhD so if you're getting a masters in a highly academic field, you look like a moron. Many schools won't even offer masters in these fields (i.e. you're either in their PhD program or you're not in the program at all) because it looks really bad on their stats to put out a bunch of unhirable masters.

Anonymous

Anonymous Sun 17 Apr 2022 17:19:23 No.14403548 Report

Quoted By: >>14403596

>>14402581
Memorizing these things is for the birds. It's best to just have a cheat sheet and see if your problem best fits or would be accommodating to any of the definitions/theorems.

You'll start to memorize the really important ones anyway.

Anonymous

Anonymous Sun 17 Apr 2022 17:26:33 No.14403562 Report

Quoted By: >>14403781

>>14403532
Well if you read his post, it has to be online. Could be life responsibilities limiting him from completing a PhD. The expectations of a PhD students are so ridiculous, its no wonder there are so many socially maladjusted people in it. I'm certain that most people that should be pursuing PhD studies just avoid it so they can actually have a life, family, etc. There is nothing wrong with pursuing your interests. With that, also think he is wasting his time with it and should do an applied math masters. Pure math anything is like majoring in playing videogames, in my opinion. But hey its his time.

Anonymous

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Anonymous Sun 17 Apr 2022 17:38:40 No.14403596 Report

Quoted By: >>14403790

>>14403548
Everything there is really important, except maybe Vitali's convergence theorem, absolute continuity and conditional convergence.

Anonymous

Anonymous Sun 17 Apr 2022 17:38:50 No.14403597 Report

Quoted By: >>14403781

>>14403532
Lesser countries have Masters before PhD for math because their undergraduate degree is pretty weak so the Masters is like a way to make them stronger before tackling the PhD.

Anonymous

Anonymous Sun 17 Apr 2022 17:44:28 No.14403611 Report

Quoted By: >>14403614 >>14403619

wtf is math?

Anonymous

Anonymous Sun 17 Apr 2022 17:45:05 No.14403614 Report

Quoted By: >>14403621

>>14403611
The hidden structure of the world.

Anonymous

Anonymous Sun 17 Apr 2022 17:47:04 No.14403619 Report

Quoted By:

>>14403611
It was invented to torture engineering undergrads

Anonymous

Anonymous Sun 17 Apr 2022 17:47:54 No.14403621 Report

Quoted By:

>>14403614
A half-explored structure about the half-hidden structure of the world

Anonymous

Anonymous Sun 17 Apr 2022 17:54:05 No.14403642 Report

Quoted By: >>14403781

>>14403532
Not who you replied to, but
>American academia
Irrelevant

I'm doing a Master's because I did my Bachelor's in CS, and need to get a math degree before I apply for a math PhD.

Anonymous

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Anonymous Sun 17 Apr 2022 17:55:17 No.14403645 Report

Quoted By: >>14403654 >>14403688 >>14403775

Chess, Shogi or Go? Which one is the /mg/ approved game?

Anonymous

Anonymous Sun 17 Apr 2022 17:56:01 No.14403649 Report

Quoted By:

>>14403320
Yes but since b^-1 * a^-1 was already suggested to you, you can prove it by just computing (ab)(b^-1*a^-1) = a(b*b^-1)a^-1 = a*e*a^-1 = a*a^-1 = e

Anonymous

Anonymous Sun 17 Apr 2022 17:57:00 No.14403654 Report

Quoted By:

>>14403645
Mid-level play of all three plus game design

Anonymous

Anonymous Sun 17 Apr 2022 18:07:07 No.14403688 Report

Quoted By: >>14403718

>>14403645
Whichever you have fun with.
It's your life, not /mg/'s.

Anonymous

Anonymous Sun 17 Apr 2022 18:15:55 No.14403718 Report

Quoted By:

>>14403688
I need approval from anonymous on the internet.

Anonymous

Anonymous Sun 17 Apr 2022 18:29:03 No.14403775 Report

Quoted By:

>>14403645
Mahjong! I love probability and stats. Every Wednesday I take speed and go to my uni’s mahjong club, I am the only white guy there but Chinese students are friendly to you if u actually know their culture and speak minimal mandarin

Anonymous

Anonymous Sun 17 Apr 2022 18:30:56 No.14403781 Report

Quoted By:

>>14403562
I'm sure there are math PhDs online. It's not like math in any way requires in person contact ever. You are doing everything with paper and pen and a computer. There are no operations costs.

In addition, where the fuck does he live that he doesn't have a university around him? Even 'rural' areas typically have some kind of state university in a couple hour drive away. If your life is that difficult, find a university nearby.

>>14403597
It seems so unnecessary. Like it's not like you can really stop if you're getting a masters in pure math. You pretty much HAVE to get a PhD so why even have this weird break with a masters?

>>14403642
Sorry, yes if you're coming from a background without math you MIGHT need it. But even then it's not difficult to get into a PhD program if it's what you want.

Anonymous

Anonymous Sun 17 Apr 2022 18:35:01 No.14403790 Report

Quoted By: >>14403814

>>14403596
Right, but you definitely use more for certain problems than for others. Again, memorizing is for the birds. Learn to recognize forms (I.e. this problem looks like I could use definition XYZ but I can't really remember XYZ), don't just memorize blindly.

It also helps if you understand generally what the theorems are saying in a visual way. Like Lipschitz continuity basically being two cones that don't intersect a function. You might not remember Lipschitz but you'll remember that there is continuity using cones.

The inequalities should be memorized though. They are used so often in proofs that most proofs take for granted even explaining when they're invoked.

Anonymous

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Anonymous Sun 17 Apr 2022 18:41:56 No.14403814 Report

Quoted By: >>14403835

>>14403790
Anon, you need to know the definition of Lipschitz continuity is from memory.

Anonymous

Anonymous Sun 17 Apr 2022 18:49:34 No.14403835 Report

Quoted By:

>>14403814
No, I don't. Already forgotten. I refuse to memorize it.

Anonymous

Anonymous Sun 17 Apr 2022 19:38:42 No.14403978 Report

Quoted By:

I'm too much of a pathetic, dumb animal to reason through integrals fast enough. Just spending hours and hours solving various types in hopes that I'll develop some pattern recognition for a decent portion of them.

Anonymous

Anonymous Sun 17 Apr 2022 20:17:03 No.14404090 Report

Quoted By: >>14404159 >>14404216 >>14404581 >>14411407 >>14411657

what is knowing advanced maths like?
do you just know how to solve a bunch of things?

Anonymous

Anonymous Sun 17 Apr 2022 20:35:00 No.14404154 Report

Quoted By:

>>14401822
Just evaluate $\sum_{n=0}^{99}(-1)^{n+1}2^n\binom{99}{n}\frac{2^{101-n}-1}{101-n}$ , or you could sub u=2-x and replace x by 2-u, distribute, and just use the power rule.

Anonymous

Anonymous Sun 17 Apr 2022 20:38:02 No.14404159 Report

Quoted By: >>14404216 >>14404243

>>14404090
No.
It's all about proofs. You won't see much of the boring computational kind that you're used to in school.

Anonymous

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Anonymous Sun 17 Apr 2022 20:52:51 No.14404201 Report

Quoted By: >>14405252

Is there a good book on special functions (gamma, beta, Bessel, K, special polynomials from diff eqs etc) from an application point of view? I know some rather dry collections of results about them but I'd be more interested in building the intuition and reading in which kind of problem where they arise naturally.

Anonymous

Anonymous Sun 17 Apr 2022 20:58:28 No.14404216 Report

Quoted By: >>14404243 >>14404272

>>14404090
>>14404159
Pretty much this, read a book on functional analysis. It's not about computing antiderivatives and separating - a computer can do that.

Anonymous

Anonymous Sun 17 Apr 2022 21:05:29 No.14404243 Report

Quoted By:

>>14404159
>>14404216
That's kinda sad and actually in my case led to some form of alienation through too much abstraction. Ultimately the goal of all these theorems is to give useful tools. When you have a particular PDE, you're not interested in only knowing whether a solution exists but ideally you want to come as close as possible to giving a closed form of the solution. When proving theorems about curvature tensors you want to use them to compute actual values for a particular pseudo-riemannian manifold. When learning about Ito calculus in the end you should be able to solve SDEs explicitly.

Anonymous

Anonymous Sun 17 Apr 2022 21:14:50 No.14404272 Report

Quoted By:

>>14404216
I agree, definite integrals are a waste of time. The indefinite form as an answer should suffice.

Anonymous

Anonymous Sun 17 Apr 2022 21:33:27 No.14404331 Report

Quoted By:

>>14403451
thanks a lot man

Anonymous

Anonymous Sun 17 Apr 2022 21:44:44 No.14404373 Report

Quoted By: >>14404522

>>14397291
is this matrix?
$[-w,w]^3$
it turns into this
(w,w,w) (w,w,-w) (w,-w,-w) (w,-w,w) (w,w,w) (w,w,-w) (-w,w,-w) (-w,w,w) (w,w,w) (w,-w,w) (-w,-w,w) (-w,w,w) (-w,w,w) (-w,w,-w) (-w,-w,-w) (-w,-w,w) (w,-w,w) (w,-w,-w) (-w,-w,-w) (-w,-w,w) (w,w,-w) (w,-w,-w) (-w,-w,-w) (-w,w,-w)

Anonymous

Anonymous Sun 17 Apr 2022 22:34:33 No.14404522 Report

Quoted By:

>>14404373
Shut up. I hate you

Anonymous

Anonymous Sun 17 Apr 2022 22:40:02 No.14404536 Report

Quoted By:

>>14397291
Unpopular opinion: this general should be on /x/

Anonymous

Anonymous Sun 17 Apr 2022 23:05:42 No.14404581 Report

Quoted By: >>14404612

>>14404090
What do you define as advanced math? I know how to look at a set of data, a given optimization problem, a genericish PDE, etc and provide ideas and algorithms to solve or explain the thing.

But I didn't go the pure math route.

Anonymous

Anonymous Sun 17 Apr 2022 23:23:53 No.14404612 Report

Quoted By: >>14404630

>>14404581
>What do you define as advanced math? I
Anything that is currently being researched.

Anonymous

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Anonymous Sun 17 Apr 2022 23:31:17 No.14404630 Report

Quoted By: >>14404638

>>14404612
>Goldbach conjecture?
>Still being researched, advanced mathematics
>Obscure dead branch of algebraic topology from the seventies?
>Not being researched, basic stuff

Anonymous

Anonymous Sun 17 Apr 2022 23:38:52 No.14404638 Report

Quoted By:

>>14404630
Yes, you anime tranny.

Anonymous

Anonymous Sun 17 Apr 2022 23:46:56 No.14404656 Report

Quoted By: >>14406979

>>14401822
$-\int_{1}^{2} x(x-2)^{99}dx = -\int_{-1}^{0} (q+2)q^{99}dq = -\int_{-1}^{0} q^{100}dq -2\int_{-1}^{0} q^{99}dq$

You spent a whole lot of time learning absolutely nothing if this stumped you.

Anonymous

Anonymous Mon 18 Apr 2022 00:20:30 No.14404710 Report

Quoted By: >>14406031

Consider the Fourier transform as a linear operator in an appropriate space of functions

$\mathcal{F}\cdot\psi(x) = \sqrt{\frac{1}{2\pi}}\int_{-\infty}^{\infty}e^{-ixk}\psi(k)dk$
Given $\mathcal{F}^4 = \mathrm{Id}$ behaves like a 90 degree rotation,
what is the operator $\mathcal{L}$ for which the following holds?
$\mathcal{F}=\mathrm{exp}\!\left(-{\frac{2\pi i}{4}\mathcal{L}}\right)$
$\mathrm{exp}\!\left(i\phi\mathcal{L}\right)\cdot\left(x\psi(x)\right)=\cos(\phi)x\tilde{\psi}(x)+i\sin(\phi)\frac{d\tilde{\psi}}{dx}$
where $\tilde{\psi}(x)=\mathrm{exp}\!\left(i\phi\mathcal{L}\right)\cdot\psi(x)$

(ignore sign errors)

Anonymous

Anonymous Mon 18 Apr 2022 04:44:38 No.14405241 Report

Quoted By:

>>14398177
heh
>>14398161
wear revealing tops

Anonymous

Anonymous Mon 18 Apr 2022 04:50:12 No.14405252 Report

Quoted By:

>>14404201
mathematical physics books are good for this. burkov is pretty nice

Anonymous

Anonymous Mon 18 Apr 2022 05:13:00 No.14405283 Report

Quoted By: >>14405523

>>14400918
stfu don't summon "her" back

Anonymous

Anonymous Mon 18 Apr 2022 07:51:18 No.14405523 Report

Quoted By: >>14405546

>>14400918
>>14405283
SHE is doing her Ph.D and will come back later.

Anonymous

Anonymous Mon 18 Apr 2022 08:03:47 No.14405546 Report

Quoted By:

>>14405523
his Penis-having Degree?

Anonymous

Anonymous Mon 18 Apr 2022 13:05:34 No.14406031 Report

Quoted By: >>14412097

>>14404710
>an appropriate space of functions
Is complex-valued $L^2 (S^1)$ an appropriate space of functions?
You can probably find something explicit there (in terms of the usual basis) but I'd give up on $L^2 (\mathbb{R})$ if I were you.

Anonymous

Anonymous Mon 18 Apr 2022 13:11:03 No.14406049 Report

Quoted By: >>14406839

>>14397876
Why are you getting a master's in pure math? Go for an applied, or go for PhD. Having done master's coursework at two very differently ranked schools, I can say that school matters more than undergrad, but not nearly as much as a PhD if you're picky about the professors you choose.

Also, depends on what you plan on doing. If you're doing research, you should be picky about your Uni. If you just want a mathy STEM job then choose any big-name school in your area.

Anonymous

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Anonymous Mon 18 Apr 2022 18:18:16 No.14406756 Report

Quoted By: >>14406917 >>14408815

Anonymous

Anonymous Mon 18 Apr 2022 19:03:50 No.14406839 Report

Quoted By: >>14407100

>>14406049
Not him but I'm actually really excited about pursuing an applied math masters after I finish my undergrad in a year. Do you have a masters? What advice would you give?
I know you're forced to specialize in grad school, but how do you decide what route (applied analysis, optimization/complexity theory, etc) to go?

Anonymous

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Anonymous Mon 18 Apr 2022 19:33:34 No.14406917 Report

Quoted By: >>14408815

>>14406756
This lad is a TA merely pretending he can't solve it, right?

Anonymous

Anonymous Mon 18 Apr 2022 19:42:44 No.14406940 Report

Quoted By:

>>14403532
Is that really how it is in America? In Mexico PhD programs usually would ask for a masters (I think)

Anonymous

Anonymous Mon 18 Apr 2022 19:52:59 No.14406979 Report

Quoted By:

>>14404656
Oh nice trick, I thought like the other anon to substitute u=2-x. you don't need to change x to q in your method. I don't remember if it was calculus or random variables where I did something like that

Anonymous

Anonymous Mon 18 Apr 2022 20:29:16 No.14407100 Report

Quoted By: >>14407208 >>14407432 >>14411812

>>14406839
I do. You don't need to specialize as much as you think, unless you're sure of what you want. I did plenty of applied topics including data science and stochastic processes, but also "pure math" topics like measure theory and graph theory. The distinction between pure/applied is overwrought.

Just make sure you have numerical analysis. That's the most important course. I recommend numerical solutions differential equations, or a course on the foundations of data science (important, but not as mathematically intense, except if you're looking at machine learning/deep learning). I did both. If you're modeling later on the job, you'll find what you learn comes up in bits and pieces.

Anonymous

Anonymous Mon 18 Apr 2022 21:03:26 No.14407208 Report

Quoted By:

>>14407100
Thank you for your reply. I have varied interests so its reassuring that I can branch out.

Anonymous

Anonymous Mon 18 Apr 2022 22:21:28 No.14407432 Report

Quoted By:

>>14407100
That sounds kino.
As much as I like not going head first into applications like a retard, there must be an upper-limit to pure math where it becomes abstract non-sense; where the author doesn't even give a fuck if it's interesting or not as long as he gets to sit on his ass working on "epic latex symbols"

Anonymous

Anonymous Tue 19 Apr 2022 00:22:10 No.14407788 Report

Quoted By: >>14407806 >>14407818 >>14407841 >>14408820 >>14410064 >>14410126

>>14397291
I can't seem to eliminate either x or 1
$ \begin{aligned} x &= 1 - x \\ -x &= -1 + x \\ -x &= x - 1 \\ x &= -x + 1 \\ 1 &= {-x + 1 \over x} \\ x &= {-x^2 + x \over x} \\ 1 &= {-x^2 + x \over x^2} \\ x^2 &= {-x^4 + x^3 \over x^2} \\ \end{aligned} $

Anonymous

Anonymous Tue 19 Apr 2022 00:29:35 No.14407806 Report

Quoted By:

>>14407788
Too advanced for Persian rug making forum

Anonymous

Anonymous Tue 19 Apr 2022 00:34:50 No.14407818 Report

Quoted By:

>>14407788
Does this include any Calculus or just Algebra?

Anonymous

Anonymous Tue 19 Apr 2022 00:41:59 No.14407841 Report

Quoted By:

>>14407788
let's try again
$ \begin{aligned} x^2 &= {-x^4 + x^3 \over x^2} \\ 0 &= {-x^4 + x^3 \over x^2} -x^2 \\ &= {-x^4 + x^3 \over x^2} -{x^4 \over x^2} \\ &= {-2x^4 + x^3 \over x^2} \end{aligned} $
whoops still stuck

Anonymous

Anonymous Tue 19 Apr 2022 01:18:50 No.14407929 Report

Quoted By:

Mike Schulman - Synthetic Differential Geometry
http://home.sandiego.edu/~shulman/papers/sdg-pizza-seminar.pdf

Anonymous

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Anonymous Tue 19 Apr 2022 08:15:39 No.14408805 Report

Quoted By: >>14411238

I've been doing math for more than 10 years and never, not even once, I encountered the Euler-Macaroni constant. What the fuck is this meme number?

Anonymous

Anonymous Tue 19 Apr 2022 08:24:22 No.14408815 Report

Quoted By:

>>14406917
>>14406756
I'll give the key idea when a > 0, and you can jerk about to working out the details of reducing to this case.
sqrt(M+K) - sqrt(M) goes to zero as a sequence in M, but goes to infinity as a sequence in K.

Starting from some m, the sequence sqrt(M+1) - sqrt(M) is less than b-a.
Now consider the sequence [sqrt(m+1) - sqrt(m)] + [sqrt(m+2) - sqrt(m+1)] + ... + [sqrt(m+K) - sqrt(m+K-1)], a sequence in K. Each term in this sum is less than b-a. And the sum equals sqrt(m+K) - sqrt(m). The sequence starts below b and goes to infinity, so at some point, the sequence crosses b for the first time. Take the previous term, sqrt(m+k) - sqrt(m). It gives the desired result.

Remaining details of the proof are an exercise in wanking.

Anonymous

Anonymous Tue 19 Apr 2022 08:31:29 No.14408820 Report

Quoted By: >>14410041

>>14407788
x=1-x
1^2*x+1*x-1=0
Use the quadratic formula on 1
1=(-x+-sqrt(x^2+4x))/(2x)

Anonymous

Anonymous Tue 19 Apr 2022 15:07:14 No.14409374 Report

Quoted By: >>14409411

If I have a transfer function H(s)=Y(s)/X(s) and I'm asked to find Y(s) while knowing the other two, can I just factorize the Y(s)?
Is this shit really that dumb or am I the dumb one?

Anonymous

Anonymous Tue 19 Apr 2022 15:23:58 No.14409411 Report

Quoted By: >>14409417

>>14409374
What do you mean factorize?
Can't you just write Y(s) = X(s)H(s)?

Anonymous

Anonymous Tue 19 Apr 2022 15:26:08 No.14409417 Report

Quoted By:

>>14409411
That is exactly what I meant. I'll do it that way then.
I was hesitant because it's with laplace transforms and whatnot but it does seems to be just like that.

Anonymous

Anonymous Tue 19 Apr 2022 19:09:47 No.14410041 Report

Quoted By:

>>14408820
cool but you'd still end up with this
$2x = -x\pm\sqrt{x^2+4x}$

Anonymous

Anonymous Tue 19 Apr 2022 19:15:00 No.14410064 Report

Quoted By:

>>14407788
you got me, man. I think you have to expand it as as a series.

Anonymous

Anonymous Tue 19 Apr 2022 19:29:16 No.14410126 Report

Quoted By: >>14410169

>>14407788
x=0,5

Anonymous

Anonymous Tue 19 Apr 2022 19:36:46 No.14410169 Report

Quoted By: >>14410716

>>14410126
Two solutions? 0 and 5?

Anonymous

Anonymous Tue 19 Apr 2022 22:11:28 No.14410716 Report

Quoted By:

>>14410169
Yes:
To see that 0 is a solution, first multiply the equation by x:
You get x^2 = (1-x)x = x - x^2.
Now plug in 0 and you see that:
0^2 = 0 = 0 - 0^2

For 5, multiply the equation through by (x-5):
x^2 - 5x = x(x-5) = (1-x)(x-5) = -x^2 + 6x - 5.
Now plug in 5 for x:
5^2 - 5*25 = 25 - 25 = 0 = -(5)^2 + 6*5 - 5 = -25 +30 - 5 = 5 - 5 = 0.

Anonymous

Anonymous Wed 20 Apr 2022 00:28:01 No.14411238 Report

Quoted By:

>>14408805
It's an important topic, you encounter it if you work with the harmonic series. Like most of analytic number theory its results seem ridiculous and full of arbitrary constants.

Anonymous

Anonymous Wed 20 Apr 2022 00:57:18 No.14411316 Report

Quoted By:

>proof by remote viewing

Anonymous

Anonymous Wed 20 Apr 2022 01:02:08 No.14411328 Report

Quoted By: >>14411550

>>14398229
undeniably statistics
biostatistics probably has like 50/50 gender split for professors

Anonymous

Anonymous Wed 20 Apr 2022 01:29:01 No.14411407 Report

Quoted By:

>>14404090
It generally gets more abstract and meta. It is very beautiful and satisfying.

Anonymous

Anonymous Wed 20 Apr 2022 01:46:54 No.14411484 Report

Quoted By:

>>14397291
I want to rub her floofy ears.

Anonymous

Anonymous Wed 20 Apr 2022 01:47:55 No.14411491 Report

Quoted By:

>>14398132
Ironic ifunny shitposts should be tolerated.

Anonymous

Anonymous Wed 20 Apr 2022 02:05:34 No.14411550 Report

Quoted By:

>>14411328
biomath in general is very female in my experiences

Anonymous

Anonymous Wed 20 Apr 2022 02:16:26 No.14411594 Report

Quoted By: >>14411634

>integration for volumes of revolution.
>Binomial coefficients / permutations.
>hasse diagrams / equivalent relations.

What are some other topics in math that make you feel powerful right out of the gate?

Anonymous

Anonymous Wed 20 Apr 2022 02:31:54 No.14411634 Report

Quoted By:

>>14411594
The multiplication counting principle

Anonymous

Anonymous Wed 20 Apr 2022 02:40:36 No.14411657 Report

Quoted By: >>14412220

>>14404090
>what is knowing advanced maths like?
unironically watch all of 3blue1brown's videos

you will have a decent understanding of what "math" is and what university math classes aims are

Anonymous

Anonymous Wed 20 Apr 2022 03:50:47 No.14411812 Report

Quoted By: >>14417289

>>14407100
original question poser.

Nothing wrong with applied or teaching, but I have little interest in applied topics (optimization, PDEs, numerical analysis, etc) and not planning to teach.

Previous anon was right, full-time job so I can't spend a lot of time commuting.

I am self learning abstract alg, topology, algebraic topology. Want pure math MS because it's funner and just in case I want to pivot into adjacent career quantum computing.

I don't need Phd because I have contacts and know a MS is enough. (also holy fuck, pushing the edge of human knowledge and in exchange you are a cucked slave).

Almost every MS level program I've seen only do applied or teaching specializations full online. And if they do pure math, usually not much more is offered other than abs algebra and real analysis.

Anonymous

Anonymous Wed 20 Apr 2022 05:34:25 No.14412048 Report

Quoted By:

Not a mathematician by any means just have a curious thought:

Does the Pythagorean theorem have a formalization in like category theory or rings or any other "higher" more "abstracted" representation?

The reason I'm asking is because for Pythagoras before there was Algebra, the "Pythagorean theorem" would be the semantic statement "The square of the hypotenuse is equal to the square of the other sides summed together". This was its expression and it was done semantically.

Then with algebra we can express this semantic statement with a^2+b^2=c^2. This is its formalized algebraic expression I know it as from high school.

I guess my question is, can this be formalised differently in other ways/"categories" (I'm trying to invoke both the technical and non-technical/layman definition of 'category')

I don't mind being pointed to external resources as well.

Anonymous

Anonymous Wed 20 Apr 2022 06:04:12 No.14412097 Report

Quoted By:

>>14406031
I would say so, yes.
>but I'd give up on L2(R) if I were you.
I'm not yet fully convinced it's unobtainable but it seems tricky

Anonymous

Anonymous Wed 20 Apr 2022 07:02:53 No.14412218 Report

Quoted By: >>14412452

Why is a disjoint union of, say, a line and a plane not a manifold?
I can't see why, as they are both Hausdorff and second countable, so it has to be due to the failure of being locally Euclidean. But for every point of that space, isn't the whole line/the plane a Euclidean neighborhood of that point?
What's wrong with my reasoning?

Anonymous

Anonymous Wed 20 Apr 2022 07:06:13 No.14412220 Report

Quoted By:

>>14411657
no

Anonymous

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Anonymous Wed 20 Apr 2022 07:11:36 No.14412225 Report

Quoted By: >>14412344 >>14413254

I'm gonna ask here since I don't think it deserves its own thread.

What is the best book for learning logic? I'm looking for a comprehensive book that explains a lot of different topics in detail.

Anonymous

Anonymous Wed 20 Apr 2022 08:54:46 No.14412344 Report

Quoted By:

>>14412225
https://www.logicmatters.net/

Read the Teach Yourself Logic pdf for its suggestions

Anonymous

Anonymous Wed 20 Apr 2022 10:10:11 No.14412452 Report

Quoted By: >>14413054

>>14412218
Let's make it concrete:
Take z = 0 and the line (t, 0, 1)
You claim that there is an n such that every point has a neighborhood homeomorphic to R^n. Which n?

Anonymous

Anonymous Wed 20 Apr 2022 14:35:19 No.14412985 Report

Quoted By:

>>14401008
Leinster’s “Basic Category Theory” and Riehl’s “Category Theory in Context” are good introductions. If you can read German, then also Brandenburg’s “Einführung in die Kategorientheorie”. They are available on the arXiv, Riehl’s website, and libgen respectively.

Anonymous

Anonymous Wed 20 Apr 2022 14:53:08 No.14413054 Report

Quoted By: >>14415835

>>14412452
Xir point is probably that xe never saw the dimension requirement in the definition. In most definitions of manifolds only an atlas of local homeomorphisms to Euclidean space is required.

Anonymous

Anonymous Wed 20 Apr 2022 15:52:20 No.14413214 Report

Quoted By: >>14413256

>>14412270

Anonymous

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Anonymous Wed 20 Apr 2022 16:13:16 No.14413254 Report

Quoted By: >>14413966

>>14412225
Do you already know elementary set theory (ordinals, construction of reals, Boolean algebra, ideals)?

Anonymous

Anonymous Wed 20 Apr 2022 16:13:59 No.14413256 Report

Quoted By:

>>14413214
Q(ai)/Q has degree 4
Q(a)/Q has degree 4
If a were in Q(ai), then this gives Q(a) = Q(ai), which is impossible, since Q(a) is real and Q(ai) isn't.

Anonymous

Anonymous Wed 20 Apr 2022 17:20:44 No.14413382 Report

Quoted By:

>>14397876
if you're from europe, then Bonn

Anonymous

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Anonymous Wed 20 Apr 2022 17:52:39 No.14413473 Report

Quoted By: >>14413478

Anonymous

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Anonymous Wed 20 Apr 2022 17:53:41 No.14413478 Report

Quoted By:

>>14413473
If there is already a solution for the velikhov instability, why the record efficiency for MHD generators so low?

Anonymous

Anonymous Wed 20 Apr 2022 21:37:30 No.14413966 Report

Quoted By: >>14414019

>>14413254
Yeah.

Anonymous

Anonymous Wed 20 Apr 2022 21:56:43 No.14414003 Report

Quoted By: >>14415751 >>14415839

Soon is my birthday and I was asked what I want. So I sent my family a wish list with some math textbooks. Now they're all making fun of me for being "weird" and refuse to believe I'm reading this for fun. They won't buy me any of the books since they consider it morally wrong. I'll probably get some retarded shit instead which I don't want.

Anonymous

Anonymous Wed 20 Apr 2022 22:07:18 No.14414019 Report

Quoted By:

>>14413966
Hardly comprehensive, but Introduction to Metamathematics by Kleene is good.

Anonymous

Anonymous Wed 20 Apr 2022 22:19:08 No.14414035 Report

Quoted By: >>14414338

Does de Rham's theorem hold for non-paracompact manifolds? In Lee's "Smooth Manifolds" the theorem is proved for 2nd-countable manifolds and because paracompact manifolds are disjoint unions of 2nd-countable manifolds (their components), de Rham's theorem holds for them. Are there any non-paracompact examples for which the DRT does hold or is it an if and only if situation?

Anonymous

Anonymous Wed 20 Apr 2022 22:58:00 No.14414104 Report

Quoted By: >>14414338

>>14397562
I believe $\phi(t)=2t$ should be a valid example no? I'm not sure what the last property asked for $\phi$ is requiring. Also H is smooth since it is made up of two smooth mappings which have been "glued together smoothly" via $\phi$ .

Anonymous

Anonymous Wed 20 Apr 2022 23:27:34 No.14414160 Report

Quoted By: >>14414857

How to understand diff geo ? Spivak is hard. Am I too stupid desu ? Do I need to flip burgers desu ? Do I need to read it 10 times ? If it needs to be done, I ' ll do it.

Anonymous

Anonymous Wed 20 Apr 2022 23:31:46 No.14414184 Report

Quoted By:

>>14401017
what does being on hormones have to do with it?

Anonymous

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Anonymous Thu 21 Apr 2022 00:36:25 No.14414338 Report

Quoted By: >>14415493 >>14417905

>>14414104
Not constant on a neighborhood around 0.5
>>14414035
>Are there any non-paracompact examples for which the DRT does hold or is it an if and only if situation?
Unless I'm fucking stupid de Rham holds for $\mathbb{R}$ with the discrete topology.

Anonymous

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Anonymous Thu 21 Apr 2022 00:58:50 No.14414380 Report

Quoted By: >>14414855

le babby's intro to The Continuum Hypothesis.

Anonymous

Anonymous Thu 21 Apr 2022 01:16:26 No.14414412 Report

Quoted By:

when will the NIGGER janny do something about the avatarNIGGERS?

Anonymous

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Anonymous Thu 21 Apr 2022 01:17:55 No.14414415 Report

Quoted By:

i thought i finished all of my math, i'm gearing up for extraction now bois ~

> oijwr 0ew9rt

Anonymous

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Anonymous Thu 21 Apr 2022 03:23:18 No.14414635 Report

Quoted By: >>14414643 >>14414855

Arial is a better font than Times New Roman.

Anonymous

Anonymous Thu 21 Apr 2022 03:29:42 No.14414643 Report

Quoted By:

>>14414635
imagine being a retarded cuckold who teaches studemts that they hate calculus one for below poverty level wages

Anonymous

Anonymous Thu 21 Apr 2022 06:12:47 No.14414855 Report

Quoted By:

>>14414380
>>14414635
At least Tooker could actually into TeX you discount schizo

Anonymous

Anonymous Thu 21 Apr 2022 06:14:28 No.14414857 Report

Quoted By:

>>14414160
Spivak's intro to diff geo has come under varying criticisms as time has passed on, such as glossing over elementary concepts to get to "the good stuff" and many different approaches have come out since then. I would recommend Kreyszig

Anonymous

Anonymous Thu 21 Apr 2022 07:14:43 No.14414915 Report

Quoted By: >>14414938 >>14415020

$\begin{eqnarray*} f(x) &=& \frac{1}{x} \\ \frac{\Delta y}{\Delta x} &=& \frac{f(x+\Delta x)- f(x)}{\Delta x} \\ &=& \frac{\frac{1}{x+\Delta x}- \frac{1}{x}}{\Delta x} \\ &=& \frac{\frac{1}{x+\Delta x}- \frac{1+\frac{\Delta x}{x}}{x+\Delta x}}{\Delta x} \\ &=& \frac{\frac{-\frac{\Delta x}{x}}{x+\Delta x}}{\Delta x} \\ \end{eqnarray*} $
What's next?

Anonymous

Anonymous Thu 21 Apr 2022 07:32:25 No.14414938 Report

Quoted By:

>>14414915
fraction rule

Anonymous

Anonymous Thu 21 Apr 2022 08:16:15 No.14414994 Report

Quoted By: >>14414996

>>14401316
Would it not be easier to count the number of ways for the game to end in 5,6,7,8,9 moves, instead of working backwards?
E.g., you can end in 5 moves in 8*(6choose2) ways, since there are 8 win conditions, and then just place the other 2 elements wherever.
Ending in 6 moves now means the previous did not win in 5. So, if you win by a diagonal you permute the other three wherever, but if you win by a row/column, you permute the other three in 6choose2 - 2 ways. Etc.

Anonymous

Anonymous Thu 21 Apr 2022 08:17:32 No.14414996 Report

Quoted By:

>>14414994
6choose3 - 2, of course

Anonymous

Anonymous Thu 21 Apr 2022 08:33:01 No.14415008 Report

Quoted By:

I'm finishing up pre-college algebra, what are some problems besides rate of work/time or distance I can work on?

>captcha
2GAGD
:) happy to be a simpleton

Anonymous

Anonymous Thu 21 Apr 2022 08:41:57 No.14415020 Report

Quoted By:

>>14414915
?x cancels, and you're left with something for which you can take the limit of ?x to 0.

Anonymous

Anonymous Thu 21 Apr 2022 13:17:17 No.14415400 Report

Quoted By:

>professor always (aggressively) asks every student if they understand
>reached a point where he doesn't ask me anymore
>even tells me to not answer when he asks the whole class

Anonymous

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Anonymous Thu 21 Apr 2022 13:45:01 No.14415463 Report

Quoted By:

>>14401440
repeating numerals noted

Anonymous

Anonymous Thu 21 Apr 2022 13:46:08 No.14415466 Report

Quoted By: >>14415488

>>14400925
its easier than writing he or she, but its retarded/a mental illness to say "they" when you know the gender

Anonymous

Anonymous Thu 21 Apr 2022 13:55:08 No.14415488 Report

Quoted By:

>>14415466
We get it, you hate gays. Just give it a rest already.

Anonymous

Anonymous Thu 21 Apr 2022 13:58:34 No.14415493 Report

Quoted By: >>14415673

>>14414338
>Unless I'm fucking stupid de Rham holds for RR\mathbb{R} with the discrete topology.
yeah, i think that works, but are there any non-degenerate examples (i.e. manifolds of positive dimension)?

Anonymous

Anonymous Thu 21 Apr 2022 15:09:38 No.14415641 Report

Quoted By: >>14415652 >>14415724

>>14397291
So I'm finishing Calculus 3 and Differential Equations this semester. What's maths should I learn afterward?

Anonymous

Anonymous Thu 21 Apr 2022 15:13:50 No.14415652 Report

Quoted By:

>>14415641
All of it

Anonymous

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Anonymous Thu 21 Apr 2022 15:20:44 No.14415673 Report

Quoted By: >>14417905

>>14415493
Well yeah, $\mathbb{R}$ with the discrete topology product with $\mathbb{R}$ .
If you want it to be connected it probably still won't turn into an if and only if thing. If we look at something like the long line, de Rham should fail because we can choose constant 1-forms that aren't the differentials of any functions at all. But if we take a product with something like $(0, 1)$ and introduce uncountably many punctures, then even if the de Rham isomorphism fails, the groups might turn out to be the same $\mathbb{R}^{\alpha}$

Anonymous

Anonymous Thu 21 Apr 2022 15:40:26 No.14415724 Report

Quoted By:

>>14415641
Are you a math undergrad?

Anonymous

Anonymous Thu 21 Apr 2022 15:50:03 No.14415751 Report

Quoted By:

>>14414003
Based family

Anonymous

Anonymous Thu 21 Apr 2022 16:20:27 No.14415835 Report

Quoted By: >>14415905

>>14413054
The dimension isn't the issue here though. That space just contains a point with no Euclidean neighborhood.

Anonymous

Anonymous Thu 21 Apr 2022 16:21:49 No.14415839 Report

Quoted By:

>>14414003
>they consider it morally wrong
You're going to need to elaborate on this.

Anonymous

Anonymous Thu 21 Apr 2022 16:45:26 No.14415905 Report

Quoted By: >>14415984 >>14415987

>>14415835
Which point?

Because all have Euclidean neighborhoods, whether homeomorphic or R or R^2.

Anonymous

Anonymous Thu 21 Apr 2022 17:18:34 No.14415984 Report

Quoted By: >>14415987

>>14415905
The point where the line meets the plane has no neighborhood which is homemorphic to an open set in Euclidean n-space for any n.

Anonymous

Anonymous Thu 21 Apr 2022 17:19:56 No.14415987 Report

Quoted By:

>>14415905
>>14415984
Nevermind, I though this was about a plane and line which intersect, not the disjoint union.

Anonymous

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Anonymous Thu 21 Apr 2022 17:47:51 No.14416066 Report

Quoted By: >>14416177 >>14416676 >>14419354

>>14403532
I'm finishing a master's in pure math with the intention of going on to a Ph.D

For me it was mostly because my undergraduate performance was pretty piss poor and I had a shit load of really bad mental issues when in undergrad from dealing with retarted normies and the general clown world. I now have 4.0 GPA and have I e multiple awards for research I'm doing with a professor at my school. On top of that I have won several thousand dollars from these awards the school has given me. Nothing wrong with pursuing a master's, in fact if argue it's better because so many undergrads just run to the Ph.D and then drop out because they didn't really know if it was for them. You're honestly a fucking retard for shitting on people about it.

Anonymous

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Anonymous Thu 21 Apr 2022 18:12:29 No.14416125 Report

Quoted By:

>Shulman
oh no
look what you've done

Anonymous

Anonymous Thu 21 Apr 2022 18:40:22 No.14416177 Report

Quoted By: >>14416345 >>14416662

>>14416066
>dealing with retarted normies and the general clown world
You are a total autism bro. These aren't real problems. Other students are dealing with friends and family dying, working jobs to make ends meet, and still getting stellar grades.

Anonymous

Anonymous Thu 21 Apr 2022 19:53:30 No.14416345 Report

Quoted By: >>14416355

>>14416177
What's your point? So what? The point is I've done fine going through the masters and it's not been an issue for me. Sounds like you're a fucking neck beard autist who has to insult everyone to feel better about themselves. What would it matter if someone got stellar grades in undergrad vs doing the same latter?

Anonymous

Anonymous Thu 21 Apr 2022 19:59:18 No.14416355 Report

Quoted By: >>14416492

>>14416345
Diagnosis confirmed lol.

Anonymous

Anonymous Thu 21 Apr 2022 20:50:33 No.14416492 Report

Quoted By:

>>14416355
>projecting

Anonymous

Anonymous Thu 21 Apr 2022 22:07:32 No.14416662 Report

Quoted By:

>>14416177
If you think normies are tolerable why are you on this website instead of reddit

Anonymous

Anonymous Thu 21 Apr 2022 22:11:34 No.14416676 Report

Quoted By: >>14416791 >>14418702 >>14419118

>>14416066
What was your GPA as an undergrad, and how were your GREs (if you took them)? What references did you use for your application to grad school? Did you take a few years off from school after finishing undergrad?

I'd like to know because I'm wrapping up my BS in math right now, and my performance as a whole has been absolutely tragic. I dug myself into a hole after failing/withdrawing from some classes early on, and was so demotivated afterwards, I never really recovered and completely floundered my way through the rest of the degree, always doing the bare minimum, never asking for help or working with others, etc. It's clear that at this stage in my life school just didn't interest me, and I'm happy to be done with it for now. Especially happy, because I hated this university's environment, I hated the campus, the students, and myself for forking out so much money to go here instead of transferring like I should have long ago.

That said, I do still like math a lot, and I've thought that maybe after passing a few years in the workforce, if it seems like I've matured a bit and have managed to relearn the undergraduate curriculum on my own, I might try applying to a master's program. However, my GPA is in the gutter (~2.9, failed three courses and came close to failing a few others), I have no personal connection with any professor (or student) on campus, and no research experience. I honestly think I'd have a hard time getting into a shit-tier master's program with my track record, and if it weren't for the fact that I went to a top university I don't think I'd have any chance at all.

Anonymous

Anonymous Thu 21 Apr 2022 23:14:35 No.14416791 Report

Quoted By:

>>14416676
Become a teller at a bank instead.

Anonymous

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Anonymous Fri 22 Apr 2022 00:17:16 No.14416926 Report

Quoted By:

First paper of the summer.

Anonymous

View Same Google iqdb SauceNAO Untitled-page-001-6.jpg, 547KiB, 2550x3300

Anonymous Fri 22 Apr 2022 00:24:59 No.14416951 Report

Quoted By:

Hold on there was a typo on that one.

Anonymous

Anonymous Fri 22 Apr 2022 02:36:37 No.14417289 Report

Quoted By:

>>14411812
based

Anonymous

Anonymous Fri 22 Apr 2022 05:09:39 No.14417536 Report

Quoted By:

>>14397291
why do bessel functions exist instead of just using a combination of lesser trig functions? how is it any different than just randomly combining trig functions and proclaiming it a new function?

Anonymous

Anonymous Fri 22 Apr 2022 05:23:48 No.14417557 Report

Quoted By: >>14417561 >>14417591 >>14417972

i dont understand how low dimensional topologists can be comfortable with what counts as a "proof" in their subject

Anonymous

Anonymous Fri 22 Apr 2022 05:25:56 No.14417561 Report

Quoted By:

>>14417557
Proof by hanging

Anonymous

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Anonymous Fri 22 Apr 2022 05:48:12 No.14417591 Report

Quoted By:

>>14417557
>he doesn't believe in half ass drawing and handwaving

Anonymous

Anonymous Fri 22 Apr 2022 06:57:53 No.14417686 Report

Quoted By: >>14417849 >>14417988

>hurr durr I make up shitty theorem and if it doesn't true I'll just add a shitload of prerequisites until it's trivially true
Is this how all of modern math works?

Anonymous

Anonymous Fri 22 Apr 2022 08:55:23 No.14417849 Report

Quoted By:

>>14417686

Intelligence decays. So we can't do maths anymore.

bodhi

bodhi Fri 22 Apr 2022 09:25:56 No.14417883 Report

Quoted By:

>>14397291
is that based evil tanya? She did nothing wrong

Anonymous

Anonymous Fri 22 Apr 2022 09:56:18 No.14417905 Report

Quoted By: >>14418272

>>14414338
>Unless I'm fucking stupid
you are fucking stupid actually, R with the discrete topology is paracompact (refinement into sinletons is locally finite)
>>14415673
>Well yeah, RR\mathbb{R} with the discrete topology product with RR\mathbb{R}.
that's paracompact too

Anonymous

Anonymous Fri 22 Apr 2022 09:57:09 No.14417907 Report

Quoted By: >>14417997 >>14418127

https://www.youtube.com/watch?v=QJiO2I9iUIY

Anonymous

Anonymous Fri 22 Apr 2022 11:22:32 No.14417972 Report

Quoted By:

>>14417557
Pretty much the whole subject of modern topology is nonrigorous garbage that needs to be discarded. Its the new italian school of algebraic geometry. I wouldnt be surprised if half of calculations of homotopy groups of spheres later turn out to be wrong.

Anonymous

Anonymous Fri 22 Apr 2022 11:41:09 No.14417988 Report

Quoted By:

>>14417686
>hurr durr why can't I climb every flight of stairs in one leap
Fermat's Last Theorem was proven in stages.
If you can't prove a theorem in the easy special case, what hope do you have for the general case? Or even worse, the general theorem could be wrong, so solving the special case and seeing that it's wrong saves you time that you might have wasted.

Anonymous

Anonymous Fri 22 Apr 2022 11:54:18 No.14417997 Report

Quoted By: >>14418127

>>14417907
>category of magnets
>magnet subspace
Fucking garbage unless this video was meant to be a joke

Anonymous

Anonymous Fri 22 Apr 2022 13:13:35 No.14418127 Report

Quoted By: >>14418140

>>14417997
>>14417907
This is the guy who made this masterpiece of a video:
https://www.youtube.com/watch?v=1haI5hsmYQU

It IS supposed to be a joke video, but he puts too much effort into it that it becomes unfunny.

Anonymous

Anonymous Fri 22 Apr 2022 13:23:04 No.14418140 Report

Quoted By: >>14418667

>>14418127
Oh so it's that guy. I do remember seeing that thumbnail before on this board

Anonymous

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Anonymous Fri 22 Apr 2022 14:43:33 No.14418272 Report

Quoted By:

>>14417905
Thank you very much for correcting me, I mixed up paracompactness and second countability.

Anonymous

Anonymous Fri 22 Apr 2022 14:44:40 No.14418274 Report

Quoted By:

i've been learning calculus from this tutorial it has been going pretty well
https://www.youtube.com/watch?v=KWN1RRSkUAc

Anonymous

Anonymous Fri 22 Apr 2022 17:50:26 No.14418667 Report

Quoted By:

>>14418140
Watch the video, it's pretty funny.
Not all of it though, at least the first 3 minutes.

Anonymous

View Same Google iqdb SauceNAO 1650650924989.jpg, 199KiB, 975x1377

Anonymous Fri 22 Apr 2022 18:08:45 No.14418702 Report

Quoted By:

>>14416676
My GPA was 3.0, I didn't take GRE because of Covid they waived it. My references were profs I had even if I didn't have the class I picked the three who classes I did best in. I wouldn't worry about it to much you can certainly get into a master's program, where you go after that is kind of up to what you make of it. My goals have always been realistic though, I'm not aiming to go to a top 10 but I don't really care because what matters more is school fit and that your advisor is not a prick. I would say just apply to some programs see where you can get into. Even if you feel to can't get into the "best program" doesn't matter as long as the department still has a few people downing any kind of active research. Make the best of what you got, better to be a big fish in a small pond. If you can prove your self at the masters level I think it's possible to complete a docterate there after. Get involved in research (really important//) anything will do. I've had a good experience this dar despite people giving me shit about doing a master's. Good luck anon.

Anonymous

Anonymous Fri 22 Apr 2022 19:16:31 No.14418875 Report

Quoted By: >>14419187

Boys, what is the laplace transform of 1+e^(2*t)+3*e^(7*t)*sin(42*t)? This is important.

Anonymous

Anonymous Fri 22 Apr 2022 21:04:42 No.14419118 Report

Quoted By: >>14419611

>>14416676
It's like 1.7 or something like that. I think an academic career is pretty much over for me.

Anonymous

Anonymous Fri 22 Apr 2022 21:30:28 No.14419187 Report

Quoted By:

>>14418875
https://en.wikipedia.org/wiki/Laplace_transform#Table_of_selected_Laplace_transforms

Anonymous

Anonymous Fri 22 Apr 2022 22:21:52 No.14419354 Report

Quoted By: >>14419372 >>14419431 >>14419596

>>14416066
You're right. Masters in pure math are useful for the absolute retards who fucked up in their simple undergrad classes.

For the average math undergrad, it is retarded to go for a pure math masters because it doesn't get you ANYTHING that a PhD program wouldn't already provide. Those students leaving the PhD program even leave WITH masters.

Anonymous

Anonymous Fri 22 Apr 2022 22:32:37 No.14419372 Report

Quoted By:

>>14419354
Go fuck yourself.

Anonymous

Anonymous Fri 22 Apr 2022 22:51:24 No.14419431 Report

Quoted By:

>>14419354
Fuck you, you stupid cock sucking faggot. I'm going to slice your skin off while your alive and skin you entirely down to your muscle..then I'm going to consume your skin while you watch me eat it.

Anonymous

View Same Google iqdb SauceNAO theorem_prover.png, 61KiB, 1003x658

Anonymous Fri 22 Apr 2022 23:09:35 No.14419476 Report

Quoted By: >>14419610

Who /theorem prover/ here?

Anonymous

Anonymous Fri 22 Apr 2022 23:54:58 No.14419591 Report

Quoted By:

What is some notation that immediately sends shivers down your spine?
For me, it's $\oplus$

Anonymous

Anonymous Fri 22 Apr 2022 23:56:53 No.14419596 Report

Quoted By:

>>14419354
Being retarded isn't a good enough reason to stop pursuing math (unless you're actually literally retarded).

Anonymous

Anonymous Sat 23 Apr 2022 00:01:34 No.14419610 Report

Quoted By: >>14419621

>>14419476
Me :D

I'm going to get into it properly after my exams are over, last semester I just took an introductory course and it seemed pretty fun! By the final lecture only 3 or 4 people showed up lole.

I assume this is just plain Lean as opposed to some dialect? Idk much about whether there are multiple provers that people use nowadays, the lecturer just showed us Lean 3. How did you find out about it?

Anonymous

Anonymous Sat 23 Apr 2022 00:02:16 No.14419611 Report

Quoted By:

>>14419118
How do you even avoid getting kicked out of your program with a GPA that low (seriously asking, at my uni you have to pass all in-major classes with at least a C = 2.0)

Anonymous

Anonymous Sat 23 Apr 2022 00:07:49 No.14419621 Report

Quoted By: >>14419631

>>14419610
It's Lean 3. I found it through the Natural Number Game, which I found through I believe a blog someone posted. (still haven't beat the NNG I got stuck on it)

Anonymous

Anonymous Sat 23 Apr 2022 00:13:45 No.14419631 Report

Quoted By: >>14419694

>>14419621
Are you a UKfren like me? The NNG was pretty much all we looked at during my course. By the end I'd finished it (with some help where I got stuck) and then we translated some elementary group theory into Lean.

Do you know about matlib?

Anonymous

Anonymous Sat 23 Apr 2022 00:44:34 No.14419694 Report

Quoted By: >>14419701

>>14419631
No, I'm from the USA. I think Mathlib comes standard with the TryLean Stand-Alone. I'm working through the Xena Project and I feel pretty overwhelmed by how much shit there is to learn.

Anonymous

Anonymous Sat 23 Apr 2022 00:46:46 No.14419701 Report

Quoted By: >>14419787

>>14419694
Do you want to stay in touch and try working on things together?

Anonymous

Anonymous Sat 23 Apr 2022 01:29:12 No.14419787 Report

Quoted By: >>14419792

>>14419701
Sorry anon but I'm not good at math. can't help you

Anonymous

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Anonymous Sat 23 Apr 2022 01:32:54 No.14419792 Report

Quoted By: >>14420889

>>14419787
I'd still like to talk to you.

I use Element ( element.io ) for communication and I can be contacted at:

{at}nylon{colon}matrix.org

(characters substituted against bots)

I'll suggest a few things before I go to bed:
Go through the natural numbers game first, if you get stuck there's a lean prover Zulip chat where you can ask for help. Then set up some axioms and set up a group, then have a go at proving various results with your group (that you already know from abstract algebra).

Also there's a lecture series on YouTube called "London Learning Lean" which has been getting recommended to me for some reason, but I can't vouch for it because I haven't watched it.

I didn't know that there would be people like you who have stumbled upon Lean by themselves - I thought it was still very niche. In any case I'll remember this, and maybe post about Lean here if I get up to anything over the summer!

Anonymous

View Same Google iqdb SauceNAO 1549B741-93DA-4DD1-87D8-8487C34C (...).jpg, 647KiB, 750x1104

Anonymous Sat 23 Apr 2022 12:51:51 No.14420888 Report

Quoted By: >>14420891

I'm an 18 yo self taught/dropout code monkey. is it too late to learn mathematics? I

Anonymous

Anonymous Sat 23 Apr 2022 12:52:38 No.14420889 Report

Quoted By:

>>14419792
I DID go through NNG, but I got stuck on the last level of advanced multiplication world (Yes, I know the trick you're supposed to do at the beginning).

Anonymous

Anonymous Sat 23 Apr 2022 12:52:53 No.14420891 Report

Quoted By:

>>14420888
I want to learn mathematics for fun stuff like graphics, ml etc. don't care about gay academic nerd shit

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