the Hearth @Felthry@awoo.space

allow me to say, just briefly--

skunks are _adorable_.

The function f=exp(-x⁻²) (or really its analytic completion) is really quite fascinating. Its derivatives are zero at x=0. All of them. df/dx = d²f/dx² = d³f/dx³ = dⁿf/dxⁿ = 0 for any integer n and probably nonintegers too, I don't know how fractional calculus works

Hm. Do they make MEMS relays? If not: why not? If so: why?

the way people treat units in science is really disorienting and weird to us and I don't understand why it's so common for people to just... ignore units

I don't even know how to explain what it is that they're doing that bugs us but it's really wrong and hinders our understanding of things a lot

I think we're finally over this cold. that was not pleasant and colds should stop existing

I wonder, if you were to ask the average person who plays games why their favorite game is their favorite, and then ask the same question of the average Gamer™, would there be a noticeable difference in the quality of response

can we stop having a cold now please

Good quote from this game: "She's not afraid to explore and experiment [with cooking], which often results in total disasters.", delivered in a perfectly casual cheery tone that just makes it really amusing to me.

what's a sekiro?

hm, I suppose technically this should include the radius-zero circle as the first of the sequence

Then again, even knowing the current official romanization of foreign place names and comparing to that of the recent past looks really weird. Like, look at Mumbai vs Bombay, or Beijing vs Peking.

Latinized versions of Arabic names are so... odd. How do you get Avicenna from ibn Sīnā? Or Algoritmi from al-Khwārizmī?

I suppose that's just our modern knowledge of foreign language pronunciation/romanization rules, though. I suppose the people at the time were just making their best efforts to transcribe the sound of the name.

in this game (bravely second) you get the ability to talk to cats partway through the game.

I just discovered that if you go back to one of the early towns, there's a mountain goat standing by the side of the street, and if you talk to it after getting the ability to talk to cats, it says, "Do I look like a cat to you?"

every time I notice someone delete and redraft a post I am immediately curious what the error in the original was.

random math-y thought: clearly, the first circle that hits any integer points at all is the one with radius 1, which hits the points (1,0), (-1,0), (0,1), and (0,-1). Four points total. A little later on, with radius sqrt(5), you hit eight points: (1,2), (2,1), (-1,2), (2,-1), (1,-2), (-2,1), (-1,-2), and (-2,-1)

What is the sequence of radii rn such that the circle at the origin with radius rn hits more integer points than any origin-centered circle with radius r < rn?

I would like to stop having a nose now please

It occurred to me that several sports have defined roles for individual players, and now I'm wondering if those roles are written into the official rules or if they're just roles that players developed as part of their strategy and it caught on.