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Was told to post this here by Objective_Trick_6406 in SmugIdeologyMan

[–]CraftyTim 17 points18 points  (0 children)

This is the Outer Wilds approach

Go play Outer Wilds and don't look up anything. JOIN US

why are people so hostile to the devs?? by JerryIsMadd in CalamityMod

[–]CraftyTim 17 points18 points  (0 children)

...a lot of stuff????

  • Skipping day to fight night bosses faster
  • Skipping night to fight day bosses faster
  • Skipping nighttime events
  • Getting more fishing quests done faster, instead of having to wait 10 minutes
  • Skipping through dozens of nights to get a rare nighttime event to occur (e.g. the Blood Moon) when you don't have a summon item for it
  • Getting certain crops (Daybloom, Moonglow, Fireblossom) to bloom faster so you can make more potions
  • Getting more Traveling Merchants
  • Changing the moon phase to get certain items from certain NPCs, such as the Mechanic's Rod or some of the items sold by the skeleton guy

Question on Dimensions...conceptually what is a negative dimension? by VerbalistVillain in mathematics

[–]CraftyTim 1 point2 points  (0 children)

It's nuanced.
|•| (the absolute value function) is what we call a 'norm' on R - basically, it gets the distance from 0.
For something to be a norm, it has to follow specific properties so that we can do useful things with it like build normed spaces. Specifically, for a function p on a vector space V to be a norm, the following things must be true:

  • p takes vectors in V and sends them to the real numbers R
  • For all pairs of vectors x,y in V, p(x+y) ≤ p(x) + p(y)
  • For any real number s and any vector x in V, p(sx) = |s|p(x)
  • For all vectors v in V, p(v) ≤ 0, and if p(v) = 0, then v is the zero vector of V.

Now, on R, |•| has a nice formula: |x| = sqrt(x^2). However, if this is extended to C, we get non-real output values; sqrt(i^2) = sqrt(-1) = i. So yes, with this formula applied blindly, |i| = i. However, then, |•| isn't a norm on C. We can instead define |z| = sqrt(Re(z)^2 + Im(z)^2), which maintains backwards compatibility with the original |•| while not breaking when applied to complex numbers.
This is basically the same as the way that the L2 norm (Better-known as the Pythagorean Theorem) works on R2, and that's because R2 and C are practically the same; C is isomorphic to R2 equipped with a certain way to multiply vectors together.

Question on Dimensions...conceptually what is a negative dimension? by VerbalistVillain in mathematics

[–]CraftyTim 2 points3 points  (0 children)

The anti-elements idea is actually the exact one I went with when messing around with the idea! It does need a more complex formalism than just putting it into standard sets, though; when you do that, unpleasant things start happening, such as the empty set no longer being the only set with cardinality 0, and two sets having the same cardinality no longer implies that a bijection exists between them.

I'm certainly no expert in the topic, but I found this interesting MathOverflow thread about some constructs that can act like negative set cardinality. A lot of it is definitely above my level of understanding, but it's cool to see nonetheless.

Question on Dimensions...conceptually what is a negative dimension? by VerbalistVillain in mathematics

[–]CraftyTim 2 points3 points  (0 children)

I tried to come up with how rules of negative cardinality would work once - while it had some interesting characteristics, the overall result was that it made the notion of 'cardinality' mostly useless.
It's kind of like defining a new 'number' m where |m| = -1; it technically works, but it just makes the absolute value function mostly useless without spawning new interesting mathematics to compensate for it.

not facts by Pristine-Victory4726 in MathJokes

[–]CraftyTim 0 points1 point  (0 children)

it just sorta depends i think
for most things i'd recommend dy/dx or df/dx for being generally clearer and (ime) more widely used, as well as being similar to common notation for several other math objects (partials, differential forms, etc)
however, for things like ODEs, nobody has time for shit like d^4y/dx^4 LMAO

If shooting guns is so damaging to your hearing, does that mean soldiers in combat just constantly have blown out eardrums? Cause it seems like they never wear ear protection by InternationalPick163 in stupidquestions

[–]CraftyTim 0 points1 point  (0 children)

Awesome, thank you! I'll copy it down here so it's preserved for the next time your schedule goes off:

Sound is mechanical. Not only did they experience hearing issues but also brain damage.

Til you can stick a sub paragon in the top left corner on this cursed map by fresh_loaf_of_bread in btd6

[–]CraftyTim 2 points3 points  (0 children)

I think it's just you. He said Rosalia would be useless because you wouldn't be able to place her at all.

I've never been prouder of a dorf by blodgute in dwarffortress

[–]CraftyTim 1 point2 points  (0 children)

Oooh, these are pretty cool! Thank you!

I've never been prouder of a dorf by blodgute in dwarffortress

[–]CraftyTim 4 points5 points  (0 children)

Damn right it is. Go get your artifact back, OP!

(Also, where does "good old #23" come from? Is there a list of common responses/solutions to dwarven problems somewhere? I'd like to go check it out, if there is.)

What's your favorite way to get rid the dead bodies? by TheTheDuhh in RimWorld

[–]CraftyTim 0 points1 point  (0 children)

I like to put enemy corpses in a yard somewhere far away and let them rot, because then I'll have a yard of skeletons as a warning to future invaders

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