colley's vector calc notation goes crazy
let's define function f, whose co-ordinate inputs are x, y, z; let's also define function x (just like a co-ordinate, but boldfaced), and let's have inputs s, t
yikes
problem from Putnam, that if you have the right idea can be solved pretty quickly:
Let A and B be different n by n matrices with real entries. If A^3 = B^3 and A^2 B = B^2 A, can A^2 + B^2 be invertible?
tbh, i haven't tried anki as extensively, so wouldn't be able to compare properly. but i really love mochi's ui. i know that it's easier to have different categories of cards in anki, like you can create huge reference cards, bunch of example cards and not have them in active recall; whereas with mochi you have to use the so called "tags" to distinguish between different types of cards, but they will still be part of active recall. also, anki is supposedly better for when you have tons and tons of cards. but then, if you do have so many cards, then you might not be able to have them as part of the active recall due to the sheer number (like you won't be able to do 200-300 cards daily).
in any case, hopefully mochi fixes their card deck sharing and i will share mine here / and in the blog post
linear algebra by lay and lay done
took me just under 6 weeks, produced around ~1000 flashcards
will write a blog post about how I self study math soon
next on: hubbard's vector calclus. this one is going to likely take longer. but seems first 4 chapters overlap a ton with linear algebra anyway
@00pium_math whenever I try to make them public, heroku app that hosts them (I use @MochiCardsApp for flashcards) just crashes. I don't think they were anticipating someone to have so many cards in a single deck
I really liked Eric's take on why alpha go is profound: A 10-layer network can only do 10 sequential steps of thinking, by construction. And yet those 10 steps can "amortize and approximate to very high fidelity a nearly intractable search problem."