/sci/ - Science & Math

Its gal oy

Scholze's theory of diamonds should produce a purely local analogue of F_1, so any sufficiently strong local-to-global phenomenon should suffice to prove RH.

>>12216894
It's a way of encoding the number of ways a homosexual can rape you in the mouth and ass. E.g if he rapes you five times that's

[math](1+x)^5 = 1+5x + 10x^2 + 10x^3 + 5x^4 + x^5.[/math]

So then e.g. there are 10 configurations where he raped your ass 3 times (and your mouth twise), but only 5 configurations where he raped your ass 4 times (and your mouth once) and only one configurarion where he raped your ass all 5 times.

>>12002579
Same, I'm still going to try to get some kind of research experience but there's little hope for me thanks to corona-chan and my mediocrity

>>11715807
Have you seen this picture going around /sci/?

I would drop out of my PhD program and become a fulltime servant for this living Goddess. I would make her breakfast in bed. I would take her out shopping and to dinner and shower her with flowers and costly gifts. I would hold her hand and cuddle as she explained her research and her plans for her career as a beautiful young scientist. It causes me physical suffering to know that she's probably dating some Chad or Brad off Tinder who doesn't appreciate her and doesn't give a damn about her career. I have so much more to offer than that but she would never give a guy like me the time of day. Life is one long disappointment.

>>11610510

>>11535982
>The experts or a group of schizo retards?
The experts. Scholze is 100% a phony schizo. Shits on >based Zuki for esoteric style yet introduces rididuclous conxepts like diamonds, cyclotomic spectra, mixed-characteridtic shtukas, liquid vector spaces. Expects us to believe that ain't just some made-up bullshit

Galois Theory Reading Group

Book: "Field and Galois Theory" by Patrick Morandi

Download link:
>https://www.medellin.unal.edu.co/~mmtoro/doc/campos/Morandi.pdf
>http://gen.lib.rus.ec/search.php?req=morandi+galois&lg_topic=libgen&open=0&view=simple&res=25&phrase=1&column=def

Errata:
>https://wordpress.nmsu.edu/pamorand/files/2018/10/Errata.pdf

This thread is dedicated to the study of Galois theory as a group. The idea is to discuss the subject with other anons as you work through the book, whether it be doing the exercises, helping each other through tough theorems and proofs, or asking interesting questions about the material itself.

I've opted for this book since it assumes very little, and has an appendix with most of the results one needs that are perhaps more complicated. It is also crystal clear in its explanations, and the exercises are fair.

>What you will get out of this
Good knowledge of the basics of field and Galois theory that are pretty much a prerequisite for any sort of algebraic number theory, arithmetic or algebraic geometry, and perhaps some use for other fields, such as algebraic topology.

>Minimal prerequisites
1. Basic ring theory: first isomorphism theorem, ideal correspondence, prime and maximal ideals, basics of UFDs, PIDs and polynomial rings.
2. Basic group theory: cosets, normal subgroups and quotients, Lagrange's theorem, actions.
3. Basic linear algebra / vector spaces over a field: bases, dimension, rank-nullity, determinants.

Most of the above prerequisites are briefly looked at in the appendix, so might be worth to read over it first.

>Minimal objectives
Chapter 1, sections 1-5 cover all the basics of field theory and the fundamental theorem of Galois theory ~ 60 pages. Can skip the sections on purely inseparable extensions and the fundamental theorem of algebra. You should at least try to complete section 5 to get the most out of the preceding 4 chapters.

This supreme gentleman is really good looking.

/sci/ I’m at a loss.. I want to start my own business(es) which preferably rely heavily on mathematics but I also want to do research really bad and I don’t think it’s possible to do proper research while doing business/working.. what do I do? Become a math autist like perelman and live a NEET life and contribute to math or do I work on a proper career? If I pick the latter, is there any hope at doing math at retirement age (~60)?

>>9867655
That would be the supreme gentleman.

>>9356591
>see quora questions about CS
>All answers are made by indians talking out of their asses

>>9340315
>your area of study
Math
>explain what's fascinating about it and why you study it
Studying algebraic structures makes me fucking tingle.

>>9107017
Its better for you if they succeed.
improves the name of the uni
Furthermore.
Knowing succesfull people might land you some nice gigs later on.
realy bro, you should be thinking in terms of mutual benefit instead of
>i want to do better than them because that reinforces my narcisistic personality disorder.

>>9025319
>implying Galois was a brainlet

>>8991993
[math]1-\sum_{i=1}^{\infty}(9\times10^{-i}) = 0.1 - \sum_{i=2}^{\infty}(9\times10^{-i}) = \dots = \frac{1}{10^{n-1}}-\sum_{i=n}^{\infty}(9\times10^{-i}) [/math]
[math]\lim_{n\rightarrow\infty}\left[\frac{1}{10^{n-1}}-\sum_{i=n}^{\infty}(9\times10^{-i})\right] = 0-0 = 0[/math]
[math]\therefore 1-\sum_{i=1}^{\infty}(9\times10^{-i}) = 0[/math]

so 1 = 0.999...

>>8983874

[math]\sum\limits_{n=1}^{\infty}\frac{1}{n^3+\sin^2(n)} \leq \sum\limits_{n=1}^{\infty}\frac{1}{n^3}[/math]
By the weierstrass M test, the series converges!

>>8982110
>>8982094

[math]B_{R_{A_{I_{N_{L_{E_{T}^{T}}^{ET}}^{LET}}^{NLET}}^{INLET}}^{AINLET}}^{R^{A^{I^{N^{L^{E^{T}_{T}}_{ET}}_{LET}}_{NLET}}_{INLET}}_{AINLET}}[/math]

>>8975939
Why couldn't any of the review authors spell 'burp' properly?

>>8973444

>>8960328
The supreme gentleman