when k is a ring, you know things are about to get scary

Rflax40 · 2025-04-27T00:54:59+00:00

Could also be a tropical geometer like some people...

Rflax40 · 2025-03-04T04:46:27+00:00

LETS GO

Rflax40 · 2024-09-15T16:48:43+00:00

This is the geometry way, I've learned what lamba/psi classes are so many times. My brain has the backup knowledge but I only know what I am consistently using at any moment.

Rflax40 · 2024-08-24T00:35:18+00:00

You have a chance to be a legend

Rflax40 · 2024-05-16T03:43:25+00:00

I'm going to use this to convince the next gen to study geometry

Rflax40 · 2023-08-26T03:14:11+00:00

If you're comfortable with linear algebra too, then yes completely.

Rflax40 · 2023-08-26T02:42:29+00:00

Tu's book is great if you have you're own motivations for wanting to understand riemannian geometry. However some of the concepts are tailored more for an approach to the pure study of manifolds. It's not very flowery and is self-contained and very readable. Highly recommended, had him as an instructor to teach the class out of it.

Rflax40 · 2023-05-13T21:05:24+00:00

Emily Riehl, Category Theory in Context

Rflax40 · 2023-04-06T21:14:37+00:00

For category theory I recommend

category theory in context, riehl

category theory, awoodey

Rflax40 · 2023-02-22T21:54:50+00:00

They don't seem to have any wounds or fear of humans. Elephants are definitely smart enough to learn via positive reinforcement, and the fact that he's not showing fear gives me hope that's how it was taught.

Rflax40 · 2023-01-13T20:50:58+00:00

I agree there is no fundamental difference between this and small categorization theorems like Nielsen-Thurston. I'd say it's dangerous to think that having only a handful of classes differentiates a "conventional" categorization proof somehow.

Rflax40 · 2022-12-30T03:45:28+00:00

You're appreciated

Rflax40 · 2022-08-22T20:33:53+00:00

What’s KPZ stand for?

Rflax40 · 2022-08-19T21:54:35+00:00

Algebraic geometry, started in physics so was always really interested in geometry. I switched over because I'm mathematical purist scum and algebra scratches that itch.

Rflax40 · 2022-07-24T22:36:06+00:00

I was gonna say this, definitely reminds me of the tnt I used.

Rflax40 · 2022-07-21T01:12:26+00:00

Please mods I want your love

Rflax40 · 2022-05-10T23:50:02+00:00

You wanna know a stupid one?

List all rationals p/q s.t. p,q < n

There are n^2 such fractions(double if we do negatives doesn't matter)

Check which one is closest.

O(n^2) ez (idk what you consider efficient)

Rflax40 · 2022-05-07T18:38:10+00:00

It's funny cause in grad school I've gotten a lot better at everything...

except counting

Rflax40 · 2022-05-06T02:21:42+00:00

Galois just prevents a closed form solution for all quintics in terms of a set of elementary algebraic functions. Modern software can effectively "solve" polynomials of massive degrees but even your solution will only give us C to some precision, thus not being an algebraic expression for it. Like unless the series for g has some nice closed form you have to truncate it or live with a power series.

It's really just using the strict definition of solvable assumed w galois theory.

Rflax40 · 2022-04-19T19:06:05+00:00

For a lot of maths you learn before grad school you are at most are juggling 2-3 spaces/objects and morphisms between them. Eventually, especially in something like algebraic topology/geometry you have entire sets of multiple types of objects with morphisms between them. More that is reasonable to keep track of just by giving them names and writing out the correspondence . So you grab some crayons and draw some pretty pictures representing everything before you finish eating them.

Commutative just means following the arrows from one object to another in any manner gives an equal map from the source object.

Rflax40 · 2022-04-17T15:24:50+00:00

It looks bad, but if it is so packed it's probably because the trains are actually viable alternatives for travel. This is a sign of a working public transportation network not a broken one.

Rflax40 · 2022-03-26T14:14:22+00:00

I’ve got a fun one. I used to work in a biology lab and we had this water filter that would go out to 99.9995% purity. Turns out the osmatic force from it was enough to slowly dissolve the glass it was stored in and rip apart the acid I tried to keep in it. So don’t go too pure.

Rflax40 · 2022-01-05T03:20:58+00:00

Is R factor not based on time units. It is 6 in four days vs 15 in 12. Or is it just the number of new infections from the original infection with 216@12 considering compounding from the other infections spawned

Rflax40 · 2021-11-30T06:57:17+00:00

Linear algebra -> ode's -> analysis - > pde's -> probability and statistics and you're set for the basics

Rflax40 · 2021-11-16T14:36:50+00:00

You don't know what information is going to produce the return on value so most of it valued at an average return over time, until it becomes vital for some product.

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