/sci/ - Science & Math

Openstax.org

>>12545265
Starting off the thread with some advertising? Rather locked, matey.

Why is Nikolaj so unbelievably based?

>>12545309

https://youtu.be/p0waArLc0rA
>physishit

this thread is for maths
or math
was /mg/ always mathS general?

>>12545321
math, i.e. mathematic, is a Bourbakist degeneracy

>>12545309
Stop bringing namefag bullshit to this general.

What's the point of self-studying analysis when I'm a poor Amazon worker with no education? It won't improve my life and it doesn't interest me anymore

>>12545309
he fucks trannies

>>12545356
No point. If you're not interested in it, drop it.

>>12545356
Have you tried algebraic topics instead? Sometimes people go into math because they want to internalize the answers to a specific class of questions and you could have gotten drawn away from the particular part of math that interests you.

>>12545321
It was always maths.

What is the most based class of functions?

>>12545402
>>12545417
>Trying to keep /mg/ alive
Go to hell, we're fine as we are.

>>12545417
Modular forms

Please recc good sources on matroids.

>>12545520
Oxley wrote a book, but also wrote a short primer: https://www.math.lsu.edu/~oxley/survey4.pdf
If the primer is easy to you after about an hour, get either Oxley or Welsh's book Matroids via LibGen. If not, try McNulty's book on Matroids, again via LibGen.

>>12545417
W^{1, n}(R^n)

>>12545417
Personally, I greatly enjoy the constant functions.

>>12545637
Thanks! Do you find the topic interesting / worth looking into?

>>12545417
quasiconvex

what do > >> < and << mean in bayesian theory.

>>12545774
greentext and orangetext

>>12545265
I think everyone here is past that lol

Can't believe I got tricked by big pharma plants into doing amphetamines

Are there any interesting topics in higher geometry or is it just theorems relating to simplex packing?

>>12545421

>>12545774
Post the equation

>>12545256
Have you come accross any interesting mathematics recently anon? Me being but a humble initiate found trend analysis of time series quite interesting.

>>12546219
priors: P(F) > P(H) >> P(F+H)

it's in Predictive Processing by Jakob Hohwy

>>12546231
Different anon here. Without anymore context I think it reads: "The probability of F is larger than the probability of H which is MASSIVELY LARGER than probability of both."

>>12546238
yeah. i kinda read that as such where p(fh) = 20, p(h) = 40, and p(f) = 60 but because of the >> symbol must be 80

but i would like to see the opinion of someone who is actually nollegible on the topic and not just some rando.

>>12546257
But anon we're all just randos here.

>>12545417
polylogarithms
In Don Zagier's words:
>the dilogarithm is one of the simplest non-elementary functions one
can imagine. It is also one of the strangest. It occurs not quite often enough,
and in not quite an important enough way, to be included in the Valhalla of
the great transcendental functions—the gamma function, Bessel and Legendre
- functions, hypergeometric series, or Riemann’s zeta function. And yet
it occurs too often, and in far too varied contexts, to be dismissed as a mere
curiosity. First defined by Euler, it has been studied by some of the great
mathematicians of the past—Abel, Lobachevsky, Kummer, and Ramanujan,
to name just a few—and there is a whole book devoted to it. Almost all
of its appearances in mathematics, and almost all the formulas relating to it,
have something of the fantastical in them, as if this function alone among all
others possessed a sense of humor
Polylogarithm ladders are one of the coolest functional relations in all of mathematics

>>12545256
He died, vewy sad.

>>12546305
>95
I would say that's a good age desu.

>>12546299
Polylogarithms are really simple though, it's just putting a power sign on the series for the pre-existing logarithm. Honestly the rational polynomials, considered as a whole, are more interesting than polylogarithms.

>>12546519
lmao
Polylogarithms are anything but simple. That's like saying the Riemann zeta function is simple because you're just putting a power sign on the Basel series.

>>12546610
Well yeah, the generators are simple. Just because you get complicated results from simple inputs doesn't mean that functions that take simple things to simple things and complicated things to complicated things deserve less respect.

How do I go about becoming a master of all math and math related knowledge(CS, Physhits, etc)?
t. graduated HS and living in mum's basement.

>>12546519
>Polylogarithms are really simple though, it's just putting a power sign on the series for the pre-existing logarithm
this is just such a bad take

>>12546257
>but i would like to see the opinion of someone who is actually nollegible on the topic and not just some rando.
lol
this is widely used notation for "much greater than", implying that some terms can be ignored to the first order
bayesian theory is literally just basic stats so there is nothing fancy going on with the notation
"just some rando" my sides, not knowing one of the basic notations is fine but simultaneously dismissing someone's reply is laughable

>>12546305
Rib'ses in peaches. He had quite a career.

>>12546663
Put your phone on your bed, a textbook over your phone and then a pillow over the book. 4G radiation is sufficiently high in frequency to transfer the knowledge into your head while you sleep, but it requires the sleep level theta wave activity.

>>12546635
Capricorns rise up!

>>12546257
>but i would like to see the opinion of someone who is actually nollegible on the topic and not just some rando.
Based. I wonder where these nollegibles live.

>>12545417
Cellular.

>>12545356
>What's the point of self-studying analysis when I'm a poor Amazon worker with no education?
Fun, but you have to find your on genre. Try topology or algebra as suggested by the other anon. Or maybe logic if you want high density autism and something completely different.

>>12546663
Start with Zorich's Mathematical Analysis I & II, and Hoffman & Kunze Linear Algebra. They have lots of physical applications as well as mathematical rigour and lots of exercises for studying.

>>12546752
is this the first step into becoming a schizo math god?

>>12546833
Well if you want to be a schizo math god you might like the more abstract treatments. It's a solid foundation with development of physical intuition and more applications thrown in than standard introductions, but no less rigorous.

latex test post please ignore:

[math] \sum_{i=1}^\infty i = -\frac{1}{12} \Longrightarrow \Longrightarrow [/math]

[math] 1 +
2 =
3 [/math]

topology is a subfield of graph theory

number theory is just the study of constant functions

>>12546961
> latex test
That is what the TeX button is for in the post popup.

>early morning exam
>seated, test starts
>have to pee
>ohshit.exe
>tunnel vision
>screw everything up

>>12547071
retarded

>>12546961
>using non-subscript [math]i[/math] in a series

>>12545479
Why are these so important? It isn't intuitive at all why modular transformations should be so important, much less functions which transform in the particular way modular forms do under them.

where were you when you learned that every triangulation can be decomposed into three trees

>>12547143
What the fuck does that even mean? Explain.

Don´t know if this is the right thread but can someone explain to me how I get the real- and imaginary part of this:

((-1+j*sqrt(3))^15)/((1-j)^20)+((-1-j*sqrt(3))^15)/((1+j)^20)

>>12547145
triangulation = a planar graph which looks like a triangle divided into smaller triangles
tree = a connected graph without cycles
decomposition = coloring edges with three colors, so that edges of each color make a tree
i hope the picture explains it

>>12547188
You plug it in your favorite CAS and observe that it simplifies to -64.

>>12547189
Ok it seems a bit curious but what's the actual significance of the theorem? Why would anyone care?

>>12547195
I have to do it manually, we arent allowed to use any calculators

>>12547188
>j
can we get this niggerlicious shit out of /mg/? make a homework general and go there or something

>>12547196
well there's no reason to care, but i think you could say the same about 99% of advanced math

hey /mg/. I have a measure theoretic question and i can't ask my professor because the exam will be next week. If a have for example R2 and i do the Caratheodory construction of the 2 dimensional Lebesgue measure, i obtain a sigma algebra and a measure, but if I do the product measure of RxR do i get the same thing? I know that this is probably an easy question but the notes that we are using don't address this

>>12547300
product measure of Lebesgue measures on R obviously, obtained with the Caratheodory construction

>>12547300
>i can't ask my professor because the exam will be next week
I don't understand this correlation

>>12547313
yeah probably you're right, he's the most down to earth professor i have ever had, but i find it a bit awkward to ask near the exam when i had all the semester

>>12547324
you're just being neurotic

>>12547300
Dont be stupid you can ask this question even though the exam is in a week. I am the TA by the way.
you can literally ask it an hour before the exam for all i care.

yea its the same thing, just consider that the sigma algebra's coincide and that the product measure is unique, or that both measures coincide on the generators of the borel sigma algebra.

>>12547413
>I am the TA by the way.

>>12547438
send me an e-mail you will see

>>12547463
Not the guy you responded to, but has anyone offered you a bribe (sexual or otherwise) in exchange for grades?

>>12547479
Yes. Your mom offered to suck my dick. I accepted.

>>12547496
this is not the guy you >>12547479
responded to,

Honestly, no one has ever had the audacity to ask such a favour. I would decline though.

I can't decide if I should switch to Rudin after almost finishing up Tao's Analysis I. His writing is pretty clear, but it's starting to slow me down. While I kinda liked Rudin's conciseness, I don't know if it is worth it to jump over to another book.

>>12547143
If you replace edges with faces, cells etc, does this hold for triangulations in higher dimensions?

>>12547479
send me an e-mail you will see

>>12547567
sent :*

r8 my proof /mg/. How close am I to wizard status?

>>12547143
>>12547189
Neat
Is graph theory brainlet friendly? I like the idea of fucking around with pictures

>>12547676
a cute ;-)

>>12547763
i r8 8/8
jk i r8 p8nt/8

>>12547763
what are you proving

>>12547871
the thing marked claim

I want to be a graphics programmer and I need to teach myself all that shit. How do I approach such huge task? Any tips? Is anyone here doing something like this seriously?

Going to college isn't really a option for me.

>>12547937
>graphics programmer
>I need to learn every field of mathematics that could have concevable been involved in the creation of this subject to learn it
Good meme but try learning simple programming and learn what you need when you encounter a problem

Is there anything interesting in higher geometry at all?

>>12547948
this

>>12547981
Higher geometry as in infinity-category stuff?
I don't think anyone here's interested in that stuff.

>>12548011
I am somewhat interested in that stuf.
But dont speak the language good enough just yet.

>>12547857
What's wrong with it?

>>12548108
i am fine thanks.
how are you doing fren?

>>12548114
Why are these mentally ill alt right trannies infesting sci and /mg/?

>>12548117
its considered rude to ignore a question like that.

>>12548126
>nigger posts bot responeses
>hi niggerbot

>>12548136
its not even a bot response.
i r8 8/8
> I rate eight our of eight

jk i r8 p8nt/8
>joke i rate paint out of eight.

You call me an alt right trannie but you start flinging around the n-word.
Sir you have been nothing but rude and I shal no longer correspond with you.
I bid you good day.

>>12548150
I called you a mentally ill first though

>>12547948
>>12548006

I just want to have a strong background.

>>12548207
by all means go ahead.
just do it on the side of your activities as a graphics programmer.

How to do it? page by page.
5 pages per day is A LOT. especially in algebra.
especially if you are not doing it full time.

maybe start with 1 or 2 pages a day, read these things carefully, work out the details on a sheet of paper.
if you think you understand something, try to abuse the mechanism try to break it hook it into other tricks and mechanisms you know of.

>>12548236
I disagree. Imagine having such a background, and you go to talk to a coworker about elementary geometry, and they have at best a high school knowledge from 10+ years ago.

>>12548272
I agree with you that this knowledge is not required and may even destroy the enjoyment you get from the work.

But if anon insist on reading this list, then sure why not.

there is nothing wrong with improving one self is there?
if anon is genuinely interested in these topics, then its a bloody waste to not look into them.

>>12547937
>>12548207
this is bait right
right?

>>12548311
if so then its gr8 b8 m8 i r8 8/8

>>12548292
I doubt he is interested more that he thinks it is some kind of prerequisite to starting education in graphical programming.
I think that he should pick 1 of these subjects if he is interested in any, and he should learn that with basic programming if he doesn't already know it.
Keep in mind he has a list from precalculus to "The Geometry of Minkowski Spacetime"

Also don't learn any naive set theory if you want to learn naive category theory

>>12548339
yes yes, i have seen the list.

still i dont see the need to discourage him.
If his interest is not sufficient he will stop on his own accord.

The answer is simple.
If he wants to learn graphical programming, then he should do a graphical programming curriculum.

If he wants a strong background in mathematics then his list would reach that goal.

Its not clear to me why you think yourself suitable to decide for this anon what it is that he realy wants

>>12548363
>I want to be a graphics programmer and I need to teach myself all that shit.
because I read his post?

>>12548369
>I just want to have a strong background.
cherry picking

>>12548373
Yes that is what you just did.

>>12548383
ugh,, mesjoche

>>12547108
you did bad because you didn't study.

>>12548207
instead of saying "muh i want to know everything" consider knowing what you need since you'll remember only what you need.

>>12547937
laying out elaborate learning roadmaps like this is basically an advanced form of procrastination
you will never work through all these books

>>12548468
nice projection (you're right tho)

>>12548452
this is horrible advice.

>>12548468
this
it's literally fantasizing about being smart

>>12547763
t-this is beautiful

my test was supposes to be this 19th but it was rescheduled for this 12th lmao

Show us how your taste in math by ranking subjects:

https://tiermaker.com/create/mathoverflows-tags-52402

>>12548725
>us
>me and the paid shill team

>>12548725
That's a lot of tags, I'm not anywhere near that bored.

>>12548725

>>12548905
I want to bully you.

>day 1 of linear algebra
>here's a matrix (with 3 numbers in it), it's kinda like a vector, we can call x, y, z x sub 1, x sub 2, and x sub 3
>okay now do all these problems with matrices that have 12 numbers in them
>waits until the END OF CLASS to tell us that the first three numbers are supposed to be coefficients, and that you're supposed to set up each equation as a row (NOT VERTICALLY LIKE YOU SAID EARLIER)
what the fuck nigger what is this stupid shit I don't know what anything is, is called, or how it's supposed to be read. You didn't assign anything before this class. teach you fucking nigger.

>>12549291
hi cs freshman

>>12549291
You didn't read the book before class? Not even the first chapter? Who prevented you?

>>12549316
I come to class to learn. School is for learning. Not already knowing.
>>12549314
Close but vast overestimate try again.

>>12549399
I think you'll find that you need both.

>>12549399
>I go to school to have the book read at me

>>12548468
We had a discussion about this in a past thread
I agree, same with a lot of the newb charts or w/e
>>12548503
A good way to put it yeah
I want to think some people follow through at least a bit
>>12548479
It's just a tired story nowadays

how the fuck do i write a statement of interest for an reu?

>>12549560
>w/e
This is an old men thread, please don't use things like "w/e", "u" or emoticons.

>>12548490
Not him but I don't think it's awful. It would keep him focused on the task at hand, and you learn better when you have stakes

>>12549634
This is a thread full of cartoons

>>12549497
>teachers shouldn't teach

>>12549639
Lonely old men often have a fondness for things like cartoons, yes.

>>12549291
I get you. Honestly, read a good book on LA. It clarifies everything. Otherwise arrays of numbers feel a bit out of thin air.
>>12549634
These kind of replies never fail to make me smile

>>12549648
Teachers are worthless for teaching base information that can easily be learned from a book.

>>12545356
It's fun and keeps your mind in shape.
Maybe don't do analysis though, analysis is nasty.

>>12548725
Here's your meme chart

What's the best book on complex analysis? Specifically which has the harest/best problems?

>>12550077
>Specifically which has the harest/best problems?
Stein's exercises and problems are pretty dope, some are quite hard.
It's filled with asymptotics and has nice topics.
But depending on what you're looking for, it's not the best. Like geometric intuition for complex analysis, etc.

>>12550111
Nice trips, but Stein fucking died before finishing the book and the guy who completed it left it full of errors. Proceed with caution unless you're working with others.

>>12550077
Whittaker and Watson has a lot of the hardest problems in my opinion

>>12547981
Yes, more pathways between objects. More total volume can be stored at a given point. On a given vector in r3, a vector in n>3 can start and end at the same 3d coordinates but be much longer. It's fun to visualize and can be useful in data storage. Higher dimensional structures are analogous to logical systems with multiple variables.

>>12546112
Fermats last theorem

You guys wanna work on navier stokes? I have a hypothesis. Any fluid system can be treated like a tiling of space with gears, where irregular shapes are the curl of large groups of planar infinitesimal gears, and angle interactions are hyperbolic gears, and the gears all have some elastic connection to eachother

Pink noise could be relevant in the distribution of energy and the 5/3ths constant could be related to some form of frequency ratios

Which is harder, abstract algebra or real analysis?

>>12550897
The one you like less.

>>12547937
Chartrand is a meme, Velleman is the best intro to proof book.

>>12550262
I would imagine, that's a pretty hardcore old-fashioned analysis book with special functions galore.

What's a good math curriculum to follow for self-study? I'm from a third world shithole and so far, I am trying to study out of Cambridge's Mathematical Tripos, since their material is available online. Is it the best one available?

>>12550956
There's no best one available, just follow the syllabus of a good university.

Are you good at mental arithmetic?

>>12550983
who is this athletic woman

>>12549705
>likes operator theory
>has no opinion on C*-algebras

>>12549636
sure but you gain no valuable knowledge if you just constantly reproduce what others have done

>>12545256
Does anyone know if there is an obvious topological notion of geodesic?
Assuming we do not have a prescribed metric.

>>12550983
No. I never even learned my times tables. It's incredibly embarrassing to solve a system of ODEs in my head but still fuck up the 7*8 in the boundary.

>>12551004
56

>>12550989
An able-bodied dame

Is there anything special about number 197?

>>12551006
Thanks.

How do I long division 2660/77?

>>12551009
It's the sum of all two digit primes.

>>12551009
Your mom's number of concurrent sexual partners

>>12550998
Obviously not. Geodesics are a geometric concept.

>>12551028
sure, open balls are also a geometric concept, but the notion of topological basis is derived from it.

I am not yet convinced it does not exist.

>>12550998
>obvious
>topological
Best I can do is sprays.

>>12551075
If your topological space is a 1d manifold, then sure. Otherwise, no.

I'm self studying Linear algebra done right and Understanding analysis for fun. My ultimate goal is to be a boss at statistics and probability. I hope to move on to measure theory and topology after this.

>>12551128
Kek I was about to say. I wish there was a community where I could discuss these things with though. Discord channels are filled with pretentious assholes.

>>12550976
Can you suggest other good curriculums?

>>12550956
Cambridge is good. Remember not to just read it but also do the example sheets. They're openly posted online every year. Then you'll have the true student experience.

>>12551086
what are sprays?

>>12551152
aside from the financial debt

>>12551160
The cost is no different from any other uni in the UK. But we're not talking about actually studying there, we're talking about leeching off the resources the post online.

>>12551164
yes, which is why financial debt is lacking from having the "full student experience".

>>12551164
anything from the fench classes preparatoires
mpsi= 1st year
http://perso.eleves.ens-rennes.fr/~tpier758/cours/maths_mpsi.pdf

http://asoyeur.free.fr/fichiers_ps/cours_mpsi/cours_mpsi.pdf

http://perso.eleves.ens-rennes.fr/~tpier758/cours.html

mp=2nd year
http://perso.eleves.ens-rennes.fr/~tpier758/cours.html

they even have physics books

https://docscpge.files.wordpress.com/2017/02/physique_rc3a9sumc3a9_du_cours_en_fiches_mpsi-mp.pdf

>>12548905
>knows almost no mathematics
>thinks he knows enough to judge category theory
I'm embarrassed for you anon.

>>12551271
>knows almost no mathematics
just like category theorists then, i guess

[math] 2^2 [/math]

>>12551155
If you have a Riemannian manifold[math](M, g)[/math] for any point and velocity pair in [math]M[/math] (that is, a point [math]\epsilon \in TM[/math]) there is a unique geodesic [math]\gamma[/math] in [math]M[/math] such that [math]\dot{gamma} (0) = \epsilon[/math].
If you have a vector field [math]S[/math] in [math]TM[/math], any point [math]\epsilon \in TM[/math] is in an unique integral curve of [math]S[/math], Hence, to a point and a speed in [math]M[/math] we can associate a curve [math]\gamma[/math] on [math]M[/math] by projecting the integral curve. If, for original point and speed [math]\epsilon \in TM[/math] the associated curve in [math]M[/math] such that [math]\gamma (0) = \pi (\epsilon)[/math] satisfies [math]\dot{\gamma} (0) = \epsilon [/math] (that is, [math]S[/math] associates to each [math]\epsilon[/math] a curve that goes through [math]\pi (\epsilon)[/math] with velocity [math]\epsilon[/math]) then S is a semi-spray. Then a spray has an additonal condition on top of all of that.

Or something like that, it's been a while since I last saw this stuff.

>>12550956
What is your plan?
I don't know much what is the path chosen by people who try to self-study instead of going standard. Are you going to attempt publishing papers without a phd or what?

>>12551390
People who want to self study a whole undergrad seem misguided imo. But there are a lot of reasons to self study some topics

>>12548905
this is peak undergradism lol

>>12551146
Just search for the syllabus of the prestigious unis like MIT, Harvard, Cambridge etc. Here's a precious resource: https://dec41.user.srcf.net/notes/

Of course, all sources and curriculum are worthless if you don't take an active approach and keep wasting time here.

>>12551075
>open balls are also a geometric concept
open balls are topological concept

>>12551408
Yup, most of them won't even start, much less finish it. If those people were truly interested they'd be learning already from any resource rather than keep coming here to ask what's the best curriculum or books. I know genius-level people who learned calculus from fucking Stewart and they're much more intelligent than I'll ever be and I used Apostol. What matters the most is simply maintaining a studying routine. Besides, there's no need to study all subjects in an undergrad if you're not in college, there are several subjects that won't be useful for you depending on the field you chose to specialize in.

>>12551009
Mass number of atoms of gold.

>>12551009
it's the smallest number that can be written as a sum of three squares in three different ways

>>12551531
Yeah. Anyone that has ever had anxiety about starting something knows that feeling of "I'll start when I have the perfect... everything". It just doesn't work that way.
> I know genius-level people who learned calculus from fucking Stewart and they're much more intelligent than I'll ever be and I used Apostol
Same, lol. It's embarrassing how much it took me to pick a calc text

>>12545309
kys incel weeb

>>12551654
you stupid little cunts didnt even know who the fuck tesla was before I came here and spoonfed it to you you seething little psueds. stfu, you know you telegraph your inferiority complex and lack of social skills when you come into a thread that was meant to be fun and informative and start screeching "I'm smart and your not!". I will make all of you undergrad shit for brains look illiterate on literally any topic known to man.

>>12549705
You don't know what most of those topics are.

>The zeta function is only defined for imaginary values 0 or real values greater than 1

>>12551882
The latter (all reals >1) is a subset of the former (all reals), so this would be a weird statement to make.
It is, in any case, not true.

>>12548905
don't do faggotry kids, or you'll end up like this

>>12549705
Confusing now that I actually look at it.
>algebraic geometry on S
>no opinion on moduli-spaces

>>12551526
yes both are true

>>12551390
I plan to get into quant finance. But I also like doing maths for the sake of math so I would like to get a strong grounding in it before pursuing some other domain.

>Your average anime tranny is a Ph.D
I can't compete with trannies.

>>12552123
Dont worry you will probably outlive them.

>>12552123
There's literally one (1) anime tranny in these threads and he isn't a PhD.

>>12552202
My bad, she. She isn't a PhD.

>>12552211
Kill yourself.

>>12552119
Interesting. I have been reading about it lately and got interested.
I would like to try this route if everything goes to shit for me in academia... But it wouldn't have to be quant finance, I'd focus on data science related stuff.

You don't need much geometry and abstract algebra though. The focus is on probability, analysis and statistics. A bit of linear algebra too.

>>12552211
I thought she was just a gay guy.

>>12552272
Tranny =/= Yukari.

>>12552272
She has referred to herself as a tranny before.
So I'm assuming she's actually transgender, and not some sort of cross-dressing femboy or whatever the fuck kids call it nowadays misusing the term.
>>/sci/thread/S12505939#p12515640

>>12547129
>Why are these so important? It isn't intuitive at all why modular transformations should be so important
To give a very oversimplified answer, modular forms can be thought of as generalisations of theta functions (in the older literature some things which were called theta functions are now called modular forms) and the simplest example of a theta function is one of the partition functions introduced by Euler like
[math]\displaystyle{\prod_{n=1}^{\infty}\frac{1}{1-q^nz}}[/math]
so you can immediately see the connection to number theory right away.

Hi /mg/!

Someone may find this interesting:
>In this age of rapidly increasing access to ever larger data sets, it has become clear that studying the “shape” of data using the tools of combinatorial and algebraic topology can lead to much deeper insights than other standard methods when analyzing complex data sets. Topological data analysis (TDA) is the exciting and highly active new field of research that encompasses these productive developments at the interface of algebraic topology, statistics, and data science. This workshop will consist of a small number of plenary one-hour lectures by leading researchers in the field, a larger number of contributed short talks from early-career researchers, live demos of software, a problem session, and a poster session. The speakers will cover a wide range of topics, from theory to concrete applications of TDA in science and engineering. The goals of the workshop are to foster scientific interactions across the growing breadth of the applied topology community and to provide an opportunity for algebraic topologists, statisticians, and data scientists curious about this dynamic new field to learn more about it.
>April 26-30, 2021
>This workshop will take place online.
https://www.imsi.institute/topological-data-analysis/

>>12552123
3 remarks:
(1) I'm not a PhD yet.
(2) Should I ever actually graduate, my results would most likely be niche stuff nobody gives a f*ck about.
(3) Should somebody actually care about what I have managed to come up with, I will still have lost at life pretty much in every other way.
Even in the best scenario for me, you will have won me in the bigger game. On the other hand, must you think of this as a competition?

>>12552402
Please forget that thread...

>>12552984
>Should somebody actually care about what I have managed to come up with, I will still have lost at life pretty much in every other way

What are the other things that you also care about? You seem to care about your bf, at least.

>>12553004
Him, my family and nature. Going for walks in the woods and stuff, and last year I gave 500 € to these ringed seals because I don't want them to go extinct (https://en.wikipedia.org/wiki/Saimaa_ringed_seal).). However, be it maths or people I care about, that's when obsession and anxiety hit. Always feeling like I'm not good enough, or that I'm a disappointment, waste of resources etc and undeserving of the good things in life I have. In the end, I'm just a mentally ill creature trying to minimise my uselessness. Please do not feel any sort of inferiority.

>>12553054
I'm not that other anon, I'm just another anon curious about our based tranny.
Such an intriguing creature, I hope it doesn't go extinct.

Eho,

What are the differences generally between "Probability and Statistics for the Liberal Arts" and "Elementary Probability and Statistics"? The former is marked 121 while the latter is 221, and I had to sign up for the latter, but had planned on the former since I'm a socsci fag.

Am I in for anything drastically different between the two? I know basic math up to algebra and did honors calc in high school but barely got a B. Haven't touched math since then unless you count astronomy and quantitative analysis.

Thanks

Niggas, is pic related correct?

>>12553078
Shouldn't it be a+b?

>>12553078
Don't know mate, bad at math sorry

>>12553096
What are you even doing here, you fucking high schooler?

>>12552951
Is modular forms (theory) a of sort of representation (theory)?

>>12553099
I should ask you the same question.

>>12553070
Kind words. Thanks, another anon. What is your favourite animal? If you have some extra money and you like some endangered species, it is better to donate a bit to that animal's protection than to spend it on alcohol, cigarettes or drugs!

>>12553077
Rigour, most likely. Maybe more proofs in 221.

>>12553115
So as long as I'm not a lazy fuck I'll be alright. Thanks.

...any recommendations on brushing up on math, like websites for practice problems, etc.? Thanks to idiots in my state, the semester doesn't start for another month.

>>12545256
*diagonal arguments on your path*
>shh nothing personnel kid

>>12553106
No, I'm an undegradchad fren.

>>12553124
I would assume you are the one asking about probability stuff, so I will make the lucky guess that Math Doctor Bob is like he usually is, good.
P https://www.youtube.com/playlist?list=PL568A4C961A99F901
S https://www.youtube.com/playlist?list=PL39A63114C97E5C10
I don't know what your either course would actually contain, but Bob is American, so the likelihood of a nice overlap is pretty big. Watch those, observe what you can't quite make sense of, and then find out more on those things. That would be my suggestion, feel free to agree or disagree.

>>12553157
Your assumption is correct, and I appreciate the recommendation. I recognize some things mainly from the statistics titles from a couple of my political science courses, so I'll check out the probability stuff first.

In this case, thankfully I'm a burger too, so hopefully the overlap is there. I appreciate the advice.

>>12553078
Think of this as having a dominating term b, that's all it's saying

Propose a paper for me to read next.
Should be accessible.

>>12553104
I'm not sure what you're asking. Modular forms are an overlap between number theory, complex analysis, algebraic geometry, and all that. It's not a subject contained within representation theory.
Modular forms (or theta functions) can be used to study the representation of integers as certain powers, if that's somehow what you're getting at. E.g. [math]\vartheta_3^{\;2}(q)[/math] is the generating function for the representation numbers [math]r_2(n)[/math] but idk if that's what you're asking

Realistically, what does it take to get admitted to a top 10 grad school for a PhD program?

>>12548725
analysischads... wya

>>12552984
Thanks I may check it out

>>12552262
I'm almost done with single variable analysis and I guess I'll do linear algebra first before going straight to more abstract levels of analysis.
Idk how can I maneuver myself into a quant finance job, so I'll guess I'll go into actuary first. I'm a CSfag btw.

>>12552090
Implicit equations can be next to useless. Showing something is equivalent in comparison to showing everything about a system is way more valuable and closer to actual rigor

I'm retarded

>>12553636
So in the p-adics the smallest and probably most common metric is 0 right?

Wait so isn't the euclidean metric the additive base 1 version of the p-adics?
>Compare two integers A B
>A-B divided by 1*n rather than 1^n
The value of n is the metric

And we could do add-ics with other n than 1, and introduce fractions I to deal with stuff like 7-2 in the 3 add-ics

Does every real number have countable digits?

This question might not make much sense but I don't have the language to express it yet. Is there any way that you can divide 1/(d^2) as d->0 into two "distinct" deltas? Trying to think of a linear way to create orthonormal bases

>>12553654
No. Consider the real line as a countably infinite number of copies of (0,1). If you consider only the positive reals and 0, you can put each segment into a bijection with a digit of any decimal representation. The segment [0,1) is mapped to the first digit, the segment [1,2) is mapped to the second digit and so on.
Consider now the long line, which consists of a linear arrangement of uncountably many copies of (0,1). If you decompose it into two long rays separated at 0, you can attempt the same bijection with digits of decimal representations. There are real numbers that have uncountably many digits in their decimal representations, whereas most irrationals like pi can be put into positional-value notation and have the resulting digits be countable.
It's difficult to address these "longer reals", however, because whether they exist or not is a consequence of how you answer the question of |[math]\mathbf{R}[/math]|. That is to say, the longer reals are ZFC independent.

>>12553671
I meant |[math]\mathbb{R}[/math]|.

>>12553671
Foundations was a mistake

If mathematical language consists of ink molecules in euclidean coordinates, it isn't a far stretch to say any group of wavepackets associated to coordinates constitutes a language.

>>12553741
You can reduce it to multiple jordan curves in two dimensions, or even an alphabet of two-dimensional jordan curves ordered in a one-dimensional list, or a series of english words in order.

>>12553744
Why would we reduce it to english and two dimensions though? Couldnt the alphabet be infinitely constructable as well?

>>12552119
>>I plan to get into quant finance.
i yes, the glorified excel macros

How >>12553671
>long line
>linear arrangement of uncountablle
How? Is it well ordered?

Algebraic topology is useless without the difficult topological analytical results. Basically if you assume everything is well defined and works then yes you can jerl off to your retarded diagrams, but the actually difficult shit is to prove your definitions make sense at all. Its just retarded.

>>12553456
Good grades, good GRE scores if you're not already in a top school. Excellent recommendation letters, so hopefully you got to know a few professors.

>>12553806
give an example

>>12553769
Exactly, I've never seen a proof of the long ray's existence

>>12553824
A completely rigorours proof that all manifolds can be triangualtes for simplicial homology.

>>12552984
>it has become clear that studying the “shape” of data using the tools of combinatorial and algebraic topology can lead to much deeper insights than other standard methods when analyzing complex data sets
said the increasingly nervous applied topologist for the umpteenth time

>>12553806
>Man accidentally tangles shirt threads in industrial lathe and learns about body isomorphism

>>12553831
and now explain what's retarded about using theorems such as this to turn your problem into combinatorics or algebra

>>12548725

>>12553673
You meant |R| when you wrote |R|?

>>12552984
>Please forget that thread...
No way. I've printed out that picture of your legs and I plan on showing it to my class and saying "If you really stick to this subject and do well, you might one day be able to fuck this" if I ever have to teach abstract algebra.

>>12554141
Thjats pathetic and evil

>>12552984
Why be a whore if you dont wanna be known as a whore

>>12554141
What the fuck, somebody posted legs on /mg/ while I was on vacation?

>>12554150
some tranny

>>12554154
Not bad, for a tranny

Good day, /mg/!

If the author's name is MERLIN CHRIST, then this just has to be included
>Ginzburg algebras of triangulated surfaces and perverse schobers
https://arxiv.org/pdf/2101.01939.pdf
>Basic Set Theory and Algebra: Hints on Representation, Topology, Geometry, Analysis
https://arxiv.org/pdf/2101.02031.pdf

>>12553193
Very good. Hopefully those help!

>>12553538
Nice!

>>12553636
Same.

>>12553832
Well said, friend. Even worse than data analysis is when they try to do brain thingies with spectra and provide either no justification for why stable homotopy theory would be applicable. I read a bit of one article like that and I must say I didn't now I have a symmetric monoidal tensor category within my cranium.

>>12554141
That will just scare the students away. I knew analysts were evil...

>>12554145
I may be a bit dumb.

>>12545356
nice blog prole

>>12554162
>>Basic Set Theory and Algebra: Hints on Representation, Topology, Geometry, Analysis
>book starts on basic set theory
>by page 86 it's started category theory
Wow. Now this is what I'd call industrial grade high voltage youth corruption material. It could turn a normal high school graduate into a category tranny in a single semester.

>>12554208
If I remember correctly, it took roughly 2 months for Yukariposter to go from "categories are for f*ggots" to using them unironically. Younglings are even more vulnerable than him, so this is a bit risky, especially when some countries don't even give you set theory in HS. Not necessarily the best idea. Knowing structures first and then recoginising that for example the cartesian products of sets, product spaces and direct products of your favourite algebraic structures all give you whatever the morphisms in that context would be in the same blah blah is quite satisfying when you are still a small sapling. When you instead start by learning what a categorical product is and then get told that the cartesian product is just that in the category of sets, then we have truly lost the guidance of our ancestors' spirits. This paper doesn't seem that extreme, but to jump so quickly into CT seems like there is hardly any time to actually get familiar with the things before the abstract definitions. Healthy young child goes to arxiv, gets pumped with massive shot of many category theories, doesn't feel good and changes - AUTISM. Many such cases!

>>12553115
I like wolves. When I was a teenager, I'd imagine a lone wolf full of scars and wound howling to the moon on freezing nights, proud of his independence, achievements and chosen path, yet hurt, drunk of pain and sorrow. Sounds edgy and cringeworthy, I know.
Most wolves have nothing to do with this idea of a lone wolf, but I wonder why the "lone wolf" archetype is a wolf and not other animal. Maybe they're a species with a high rate of loners, comparatively.

Yeah, drugs suck. But I don't care much about the well being of animals, it's probably one of the most controversial opinions I have. Animals can't be functional members of society and because of that they shouldn't be as much important for us. But there're plenty of reasons to avoid killing, torturing and hurting animals, all of them because they impact negatively people. Some people empathize a lot with some animals and we don't want them to feel distress over their suffering. Another reason is scientific, different species are important for knowledge and potential experiments.

What is your area of least affinity? Analysis?
And what is the area with the worst kind of people in it? In your view.

>>12554208
>>12554257
I don't get why people get perpetually stuck in these category theory (supposed) controversies.
Judging the subject solely based on how the autistic zealots worship it is ridiculous. Category theory is not the beggining and end, and as a pure area it's just another one, not that much special. But it's quite useful and brings a nice framework to think of many things. I see it as a powerful tool.

The only thing I hate is how people who use it in other areas usually neglect the foundational problems related to size. They either don't address it at all, or just cite references about and assume it's all good to go, never caring about the details again. It's no different than a physicist arguing to calc students that differentials can be constructed so that they can be manipulated like numbers, give an advanced reference and then start using them like numbers without properly justifying any detail.

>>12554162
>symmetric monoidal tensor category within my cranium
Explain

>>12554171
>prole
A genuine aristocrat would realize that a proletarian revolution is necessary to reinstate a proper aristocracy

What the hell is category theory anyway? Everyone talks about it literally how children talk about boogeyman, can you just talk about it itself for once?

>>12547143
It seems kind of geometrically intuitive, but how do you usually go about proving this?

>>12554381
3 Points of a triangle
Each has an arm
The arms then each go to one inner triangles arm and keep going to new inner triangles arms
Each triangle has 3 arms so each of the trees can access each arm without having to form a closed loop
No need to worry about overlaps here so all arms are accessible (idk exactly how to prove this bit but it seems obvious)

>>12554389
Yeah, but formally. Some kind of partitioning?

>>12554389
This is not even close to a proof lol.

>>12554381
google "schnyder trees" or "schnyder decomposition" if you care, it is a stronger statement about directed graphs and some additional fuckery with the colors
the proof is some kind of induction or iterative construction probably

>>12554399
The only informal thing about my proof was the last line so I'll attempt it:
The definition of a tree is a point which branches into other points. So a triangulated triangle is a tree if you take off at least one outer side and at most one side per inner triangle. All the lines will still be connected because, recursively from the external hull, each triangle connected to it has 2 sides left connected, and removing a side from any triangle only removes one of 3 possible connected routes to any bordering or interior triangle, so thats not to worry about

>>12554389
>>12554469
Ok and what's the proof? How do you show that such a partition exists?

>>12554485
Because I constructed it.... Take a branch, you can get a branch from any triangle without having to form a directed graph, in fact two branches, but you only need one since you get three trees.

The reason you can hit all triangles is because if two triangles are bound, side to side or one inside the other, there are 2 or 3 points of attack so removing one line never removes all access points

You people are so retarded to actually think that the anime poster is a transexual, it shows you're all newfags here who don't even know about the beginnings of that nickname. Lurk more, retards.

>>12554499
>even know about the beginnings of that nickname
What nickname?

>>12554492
>Take a branch
A branch of what? What are you even talking about?

>>12554499
One literally posted his legs in stockings with a timestamp a couple of threads ago

>>12554502
The 'tranny' nickname, newfag.
>>12554508
Yeah, if it's on 4chan it must be totally real, huh?

>>12554519
>isn't aware that there are genuine trannies posting on /mg/
>calls others newfags

>>12554499
>>12554519
newfag

>>12554519
>>12515761
and the leading convo

>>12554506
We are talking about a theorem involving trees. If you cant figure out what a branch is referring to then you have caught a serious case of academic clamping.

>>12554532
You haven't constructed any trees yet so it's not clear to me what branch you're referring to. Can you explain your proof clearly to me? I'm just and undergrad and I genuinely want to understand. What you wrote looks like complete gibberish to me. Also by "arm" do you mean an edge?

>>12554525
>>12554528
Retards, I've been posting here since 2018, I've seen how the 'tranny' thing began, I've seen summer vacations destroy these threads with a wave of dumb high schoolers like you people, I've witnessed the shitposting about the stolen fields medal, I was here when Misha was still posting. I've seen things here that you people have no fucking idea of, so think twice before you call me a newfag because I'm much older than any of you who unironically believe that that poster is a trans. I bet you didn't even know we even held a poll once asking if /mg/ was transphobic or not, huh? Shut the fuck up and lurk more, newfags.

>>12554305
>I like wolves...
We've all done something like that, I'm quite sure. Growing pains during puberty are pretty much what I would use to harvest cringe energy if I had the required machinery to do so. But wolves are awesome.
>Most wolves...
Maybe they're a species with a high rate of loners, comparatively.
I think it is a wolf precisely because a lone wolf itself is an anomaly. Humans and wolves are pack animals, human cultures and wolves have shared a lot of territory and so on. Hence you have wolves included in all sorts of cultural stuff like sayings, metaphors, myths etc., and therefore a pack animal human without a pack is metaphorically a lone wolf. Or this is how I would explain it. Could be completely wrong, though.
>Yeah, drugs suck...
Your view is reasonable and realistic, also relatable. I may be one of those people who would want animals to be well, but I am not one of those who treat animals as people (except maybe some apes like Koko). Even referring to an animal as he or she instead of it feels odd, even though it tells quickly what the reproductive role of the said being is. I think a balance of some kind would be good. We use them for food production and experimentation, so we avoid excessive cruelty of all sorts.
>What is your area of least affinity? Analysis?
I actually appreciate analysis a lot, but I just can't wrap my head around it. I'd say statistics (inb4: not math!!!) is the driest thing I could imagine, and basic calculus next. Analysis did ruin my perfect streak, though. I had 5/5 from every course during my master's, but that was only 2/5. The worst people I have met were in a category conference. Making fun of each other in a hostile way, not in a friendly way like the attendees did in a group conference. It left a really nasty after taste in my mouth. I guess they were mostly categorical logicians.

Have you attended any conference? I recommend doing so when the intensity of our current Kali Yuga goes down a notch.

>>12554539
>I've been posting here since 2018
>calls others newfags
You've no idea what you're talking about. Lurk more, retard.

>>12554543
This thread is about mathematics, please abstain from talking about wolves or animals otherwise I'll have to report you.

>>12554539
>think twice before you call me a newfag because I'm much older than any of you
newfag confirmed

>>12554537
Sorry lad I'm just a bit dotty
Yes arm is an edge and branch is an edge if you consider it as a tree branch
Just imagine a bunch of connected triangles. Connected as in some triangles sharing edges or vertices. That means a path between them exists. If you only have to delete one edge per triangle to prevent full cycles, you still get a tree that hits each triangle, because each triangle has 2 connections to another triangle, and removing one side cant remove both, so its all connected

>>12554556
What prevents this from working with only 2 trees?

>>12554499
>actually thinking about whether things on the internet are true or not instead of just filing info away for later shitposts
Yikes. Why don't you go back to facebook and debunk grandpappy's story about the time when he caught a two meter long fish?

>>12554565
Urgh, why are you defending those newfags? As a fellow oldfag, you should have been siding with me. You just disappointed me.

>>12554565
this
i learned to write posts without any regard to their truth value

>>12554346
It is a useful thing, sure. I use it almost daily when working on stuff, like for example how adjoints and limits commute etc. (say, you want to suspend a wedge, do you get the wedge of suspensions back?), so I have nothing against category theory per se. It's just the almost religious way people approach it, trying to turn everything into a manifestation of the Yoneda lemma and so on. It does obliterate quite a lot of unnecessary steps when one knows when to invoke some categorical results, but to know everything only in the macrocosmic way is not good in my opinion. That's what I meant when I gave the extreme example of defining the cartesian product as just the categorical product in the category of sets and functions. Sure, it is that, but if the student has no idea what it would be classically, then that seems like a pedagogical misstep. That foundational remark is true. I'm not interested in foundations themselves, but I think it is still important to at least mention which axiomatisation is being used. Sticking to certainly small categories is my way to avoid such problems.

>>12554371
That's what was claimed in the paper I was reading. That's when I decided that applied folk can apply their stuff without me having or even wanting to know.

>>12554549
Does the space of wolves have isolated points?

>>12554562
Perhaps nothing?

>>12554572
I'm not an oldfag, I came here in 2018.

>>12554579
I mean explain the math of a symmetric monoidal tensor category, because I was working on a psychological theory of arrays so it might be related

>>12554539
Who is this Misha? Got some lore about him?

>>12554587
http://w3.impa.br/~mbel/

>>12554587
https://en.m.wikipedia.org/wiki/Misha_Verbitsky

>>12553847
Nothung you moron, but that the actual difficult part is to prove that theorem and see everything is well defined independent of the triangulation.

>>12554607
What kinds of things did he post here to be so memorable?

>>12554586
Right right. So let's consider the tensor product of modules first. If [math]R[/math] is some unital and commutative ring, then we the canonical isomorphisms [math]\alpha_{L, M, N}\colon (L\otimes_R M) \otimes_R N \to L\otimes_R (M\otimes_R N), c_{M, N}\colon M \otimes_R N\to N\otimes_R M[/math], and the ring itself acts as a "unit element" with respect to the tensor product. This we want to make more general.

To obtain a monoidal/tensor category (same thing), we take some category [math]\mathbf{C}[/math] together with a bifunctor [math]\otimes \colon \mathbf{C} \times \mathbf{C} \to \mathbf{C}[/math]. Now, to make this somewhat suggestively denoted bifunctor our tensor product, we need to have two conditions satisfied:
(1) There is an object [math]\mathbb{I}[/math] together with natural isomorphisms [math]\lambda_C \colon \mathbb{I} \otimes C\to C, \rho_C\colon C\otimes \mathbb{I} \to C[/math] (called the left and right unitor) for every object [math]C[/math] (this would be the tensor product with the base ring).
(2) The bifunctor is associative up to a natural isomorphism (the [math]\alpha[/math] above, called an associator) for any triple of objects.
To make these coherent, they need to satisfy
[math]\alpha_{A \otimes B, C, D} \circ \alpha_{A, B, C\otimes D} = (\alpha_{A, B, C} \otimes 1_D) \circ \alpha_{A, B\otimes C, D} \circ (1_A \otimes \alpha_{B, C, D})\\
(\rho_A\otimes 1_B)\circ \alpha_{A, \mathbb{I}, B} = 1_A \otimes \lambda_B[/math].

>>12554676
Just like the tensor product of modules need not be commutative in general, this tensor category doesn't have to have a commutative tensor product either. To add in the symmetry, we take the [math]c[/math] (commutator) from above, and assume those exist for every pair of objects. Then we get some more coherence conditions:
[math]\rho_A = \lambda_A \circ c_{A, \mathbb{I}}\\
c_{B, A}\circ c_{A, B} = 1_{A\otimes B}\\
\alpha_{B, C, A}\circ c_{A, B\otimes C} \circ \alpha{A, B, C} = (1_B \otimes c_{A, C}) \circ \alpha_{B, A, C} = (c_{A, B} \otimes 1_C)[/math].

Tensor product over a commutative ring as well as cartesian product give examples of these. An important case would be when your category is a closed monoidal category. Then the tensor product defines, for a fixed [math]D[/math], a functor [math]C \mapsto C\otimes D[/math] which has as its right adjoint the "internal Hom", just like there is the Hom-tensor adjunction for modules. I haven't done much with these in general, only with modules, so I can't really go too far into the realm of abstraction. However, this could maybe allow you to define some kind of thinking operation that would turn the human mind into an array of numbers. An array with increasingly many zeroes after the age of 24...

Anyone has "Blind Spot" by Girard specifically in French? I don't wanna pay library fees to get it delivered to my shithole.

>>12554614
what's retarded then?

Is there any book that develops category theory solely for its use in algebra (or mainly), with lots of examples of applications?
I know "Category Theory in Context" and that Grillet's Algebra book has an appendix on category theory.

>>12554684
https://www.matem.unam.mx/~javier/homologica/rotman.pdf

>>12554607
He never posted here himself. I personally know the person who kept reposting his stuff on here, and it's not him.

>>12554676
>>12554679
Sigh. You make everything so complicated. Anyway here's my theory:
The brain can store 3D geometries in neuron bundles that mimic 3D space, and has the machinery to perform literal rotations on the neurons which corresponds to rotated visualizations. Many things can make use of the capability to rotate 3 arrays at once. Logical structures often have a dimensionality and array of mental objects but with locks and twists in the morphisms, like matric decompositions or discrete nonlinearity in it

I think the brain uses fractals though because you see fractals when tripping balls, so euclidean fits into hyperbolics

12554725
>>12554726
Erinnern Sie die geisten krieg...

>>12554715
Can you rotate one of the brain halves literally?

>>12554740
No, it's like a series of dots on a grid and you can rotate the lighted up dots but the flesh moves too

>>12554728
German? In my /mg/?
No.

>>12554745
Are you afraid of learning things?

Actual new thread >>12554755

>they would rather post in a thread about a topic know one knows about with the pic of some colorized normie
>rather than an esoteric, beautiful math, and widely applicable concept from the great grainy USSR
Wow
Do not dishonor yourselves /mg/ and take the red pill instead

>>12554763
>posting in the premature ejaculation thread made before we had actually reached the bump limit, which not only has german in the OP, but also just physics

>>12554661
force his autistic curriculum

>>12554805
That was never him.

>>12554543
Not him and sorry for the OT but yeah, that's how I felt about the lone wolf thing. It's precisely because they are not meant to be alone ("For the strength of the pack is the wolf..."). Also, some hardship and misery comes in with the analogy. Those go better with the cold and darkness where wolves live. The life of a young lion is shit as well but it doesn't work because a lion is too prideful and the savanna too fucking hot.

>>12554774
>he's germaphobic
Weak immune systems are ngmi

>>12554726
Now get the thread on kittens... It really is like herding kittens...

>>12554835
There is also a big difference between lions and wolves. If you are a male lion, then either you have your females already or you challenge some other male to get your own harem. A lion "pack" is actually just a family of one dad, several moms and then the kittens. On the other hand, a wolf pack can have many males and many females. It is not part of the order of things for a wolf to be alone. But you are most correct about the surroundings and their effect on the mental image. Wintery forest, dark and a wolf standing there. That's like literally a black metal album cover by itself. Wolves are inherently "dark", whereas bears are the kings whose name you don't mention so that you don't summon them to your location. I would assume lions are similar savanna kings for the locals in Africa. If you actually look at what happens during Ragnarök, you will find a wolf on the bad guys' side. They've always been "dark". Enough off topic in this sinking thread, though, I guess.

Do you guys re-attempt solutions in order to make it simpler, more elegant or concise ? Ones that you do for learning, not to hand in.
I only have the custom of assuring that a solution is correct and complete, so I wonder if trying this would be a waste of time or not...

Oh, is Yukari poster a tranny? No matter, I still respect you for your contributions.

>>12555607
>>12552335

>>12555615
Ah, right

>>12555607
>yukarifag
>contributing

>>12552984
>my results would most likely be niche stuff nobody gives a f*ck about
If you ever get lucky enough to be a prof this is the very reason that nobody who actually knows what you're doing can fire you and nobody who can actually fire you knows what you're doing enough to actually fire you. Just use the fact that the civic religion of the USA partially involves trannyism (for now, once white people are hated enough white trannies will lose their holy status, if you happen to be white) to get some sort of uni position.

>>12555017
I used to do this. Getting rid of all the extra weight from my solutions. Nowadays I just strike all the unnecessary parts and make some remarks on my solutions.

>>12555950
>If you ever get lucky enough to be a prof this is the very reason that nobody who actually knows what you're doing can fire you and nobody who can actually fire you knows what you're doing enough to actually fire you
Well said.
>Just use the fact that the civic religion of the USA partially involves trannyism (for now, once white people are hated enough white trannies will lose their holy status, if you happen to be white) to get some sort of uni position.
Thanks for the tip but nope. Either I am good enough for real or I am left without a position. Additionally, I am not even interested in an academic career at the moment, and even less interested in moving to the US.

>>12556005
>Either I am good enough for real or I am left without a position
K but you are "good enough" to take a position now especially since tons of uni positions are filled by pure identity politics. Do you live in Yurop? Because the civic religion of unis there isn't that different from the USA, in fact as USA unis become obsessed with worshipping brown people European unis might be better for trannies anyways. Again making a guess that you're from Europe.

>>12556081
I couldn't care less about identity politics in the US, or in these hypothetically existing unis in Europe. I'd rather die than use my mental illness to snatch a position from someone more competent. Besides, I am not interested in a position after I graduate, so I don't care where it would be better.

>>12556005
>I am not even interested in an academic career at the moment
Really? What are you imagining about your future?

>>12554743
Do you any neurobiological basis of this theory?