“Mathematics Is A Giant Room, Full Of Toys—some Of Which Have Very Long Instruction Manuals.”

BCC

A minimal figure-eight knot on the body-centered cubic lattice

(source code)

What's the beef between engineers and physicists and even mathematicians.

Why physicists mock mathematicians: Because playing 51 dimensional chess against your own brain seems silly to us when there’s a whole cosmos to explore.

Why mathematicians mock physicists: The universe can only be understood because some nerd spent the time playing 51 dimensional chess and in the process they created some useful stuff for the physicists to steal and abuse the hell out of.

Why everyone mocks the engineers: π=e=3 is an abomination before God and those pencil pushing dorks make more money than us so we feel the need to vindicate our $75000 student debt.

Want to learn something new in 2022??

Absolute beginner adult ballet series (fabulous beginning teacher)

40 piano lessons for beginners (some of the best explanations for piano I’ve ever seen)

Excellent basic crochet video series

Basic knitting (probably the best how to knit video out there)

Pre-Free Figure Skate Levels A-D guides and practice activities (each video builds up with exercises to the actual moves!)

How to draw character faces video (very funny, surprisingly instructive?)

Another drawing character faces video

Literally my favorite art pose hack

Tutorial of how to make a whole ass Stardew Valley esque farming game in Gamemaker Studios 2??

Introduction to flying small aircrafts

French/Dutch/Fishtail braiding

Playing the guitar for beginners (well paced and excellent instructor)

Playing the violin for beginners (really good practical tips mixed in)

Color theory in digital art (not of the children’s hospital variety)

Retake classes you hated but now there’s zero stakes:

Calculus 1 (full semester class)

Learn basic statistics (free textbook)

Introduction to college physics (free textbook)

Introduction to accounting (free textbook)

Learn a language:

Ancient Greek

Latin

Spanish

German

Japanese (grammar guide) (for dummies)

French

Russian (pretty good cyrillic guide!)

I want you all to know that an Arab Muslim from Tunis proposed the Theory of Evolution near 600 years before Charles Darwin even took his first breath. Don’t let them erase you.

Right. So. A Tarot sequence of three cards, A -> B -> C is exact if everything you take from A as part of B is all that you leave behind when you interpret B as part of C.

For example let's look at a relationship spread:

Self -> Other -> Dynamic

Start with the Self, then identify the self with aspects of the Other; those aspects are precisely the parts of the Other that you ignore when interpreting the Other in the Dynamic. With me so far?

Let's add another link to the sequence:

Self -> Other -> Dynamic -> void

"void" has no card. It has no interpretation, consumes all, and yields nothing. All aspects of the Dynamic are consumed by the void, but when we know this sequence to be exact this tells us much:

The aspects of the Self that we see in the Other are those parts we leave behind when we see the Other in the Dynamic. The aspects of the Other that we see in the Dynamic are those parts we leave behind in the void (which is everything). So for this sequence to be exact we know that the Dynamic is fully explored by those parts of the Other than we cannot identify with the Self.

free recall

here I am sitting and trying to learn something from a textbook by making notes and ugh I don't think this is gonna work

what I'm writing down will probably leave my head the second I switch tasks

today I found a cool video about taking notes during lectures and a method called free recall is mentioned there:

to summarize: taking notes during the lecture is ineffective, because it requires dividing attention into writing and processing the auditory input. instead of doing that one should just listen and then try to write down the contents of the lecture from memory. I can believe that – this is how I studied for my commutative algebra exam and the whole process went really fast. I highly recommens this guy's channel, he is a neuroscientist and bases his videos off of research findings

I will try to do this with textbooks and after a while I'll share how it felt and if I plan to keep doing it. the immediate advantage of this approach is that it gives raw information for what needs the most work and what can be skipped, which is often hard to see when trying to evaluate one's knowledge just by thinking about it. another thing that comes to mind is the accountability component – it is much easier to focus on the text while knowing that one is supposed to write down as much as possible after. kinda like the "gamify" trick I saw in the context of surviving boring tasks with adhd

I'll use this method to study differential geometry, algebraic topology, galois theory and statistics. let's see how it goes

Julie D’Aubigny was a 17th-century bisexual French opera singer and fencing master who killed or wounded at least ten men in life-or-death duels, performed nightly shows on the biggest and most highly-respected opera stage in the world, and once took the Holy Orders just so that she could sneak into a convent and shag a nun.

(via Feminism)

ok i get it now, most people need plans and structures so then they can study what they're really into in the future

btw today i'm doing operations on topo spaces, i love that already

i gotta say i don't buy all them planning strategies and tips that require more effort than just sitting and doing the work

i mean that might help some people but i find that when i am doing something important to me i need no plans nor do i need motivation, i also don't procrastinate, everything falls into its right place

and if achieving something takes so much effort in preparation, is this even supposed to be a thing? idk, maybe that's the reason why i have no external proof of my work lol

Real estate agent, 5 minutes into the meeting with a topologist: So, when you were talking about "contracting" a "house with two rooms",