Yeah Thinkpads are obviously a popular suggestion here. I’d check out System76 too (their cheapest stuff may or may not fit your definition of “cheap”).
Yeah Thinkpads are obviously a popular suggestion here. I’d check out System76 too (their cheapest stuff may or may not fit your definition of “cheap”).
Cooking in a cast iron pan will give you even more iron.
https://mathoverflow.net/questions/142205/presentation-of-the-monster-group mentions a presentation of the monster with 12 generators.
Creating a physical rotation puzzle that implements the monster group would be quite a task!
I know exactly one party trick based on mathematical group theory, which I have actually used to impress non-mathematicians at a party.
There’s a concept called the “center” of a “group”, which is the set of operations that commute with every other operation in the group. The center always contains the identity operation of doing nothing. The group of scramblings of a Rubik’s cube happens to contain exactly two elements in its center: the identity, and a move called the “superflip” which takes a little bit of effort to memorize how to do, but it’s not so hard. Much easier than actually solving a scrambled Rubik’s cube. It’s like you do a simple move repeated 4x, and then you do that whole 4x set 3x with some rotations in between. Not terribly complicated. Importantly, once you memorize it it’s not difficult to do just by feel, since it’s a fixed sequence of mechanical motions.
So, the party trick goes like this:
You have a Rubik’s cube that is exactly a superflip away from the solved state. You hand it to an unsuspecting party guest and say “go ahead and make one or two turns” (it’s important to say something like “one or two” because if they do 3 the trick becomes challenging, and if they do 4 or more it might become impossibly difficult unless you’re actually good at solving Rubik’s cubes, which I am not). They take this obviously unsolved cube and make a couple more moves so now it appears even more scrambled.
You take the cube back and do the superflip behind your back, without looking at the cube.
Then you move the cube out from behind your back, and at the same time (trying to be slick about it) you undo the one or two moves remaining before it is solved. Everyone gasps and say “omg he solved it behind his back” (when really you did no such thing).
This works because if S is the superflip and X is the simple moves they did to it, S X S is equal to just X because S commutes with everything. (S is also its own inverse, so that S S = 1.)
One thing that definitely feels like “magic” is Monstrous Moonshine (https://en.wikipedia.org/wiki/Monstrous_moonshine) and stuff related to the j-invariant e.g. the fact that exp(pi*sqrt(163)) is so close to an integer (https://en.wikipedia.org/wiki/Heegner_number#Almost_integers_and_Ramanujan.27s_constant). I hardly understand it at all but it seems mind-blowing to me, almost in a suspicious way.
So just like a citrus fruit intermediate between lemon and lime?
Explain more… do you mean, just something exactly intermediate between octopus and ice cream in every respect? Or like, octopus with the flavor of ice cream, or texture of ice cream inside?
That’s prudent.
One time I ordered like a whole liter of silicone lube (to refill smaller containers from). I got this funny feeling from it being such a large amount of rare precious stuff, like it was a cask of fine whisky or something.
I disagree very strongly with the recommendation for only water-based for sex. Oil is much preferable for having sex for a long time, since it doesn’t evaporate and dry out the way all water-based lubes do.
I personally use coconut oil and also silicone lube on occasion since it’s even more powerful and long-lasting.
Latex condoms do have that warning not to use them with oils, but polyisoprene condoms + coconut oil is a combination I’ve used for a long time and trust very much.
I would guess that chemical effects would be diverse while “physical” effects would not be so diverse. Keep in mind that things like mesothelioma from asbestos are kinda sorta “physical” effects because it’s from jagged roughness of the particles at the nanoscale rather than any specific chemistry.
This may be true but I hate the practice of referring to “plastic” as if it’s a single substance. It’s a bunch of different materials that don’t really have that much in common with each other, especially from a health/toxicity standpoint.
For example, people treat it as common sense that “you shouldn’t burn plastic” because the smoke is “toxic”. For PVC this is totally true, it makes very nasty stuff like dioxin that will poison you. But on the other hand you can burn polyethylene (think milk jug) and it’s no more toxic than burning a candle. Definitely way healthier to breath than wood campfire smoke, for example.
There’s also such a silly pattern where people learn some chemical might have some effect on the body and suddenly everyone is up in arms about it. For example Bisphenol A in many applications was replaced by the very similar Bisphenol S just so things could be labeled “BPA Free”. BPS probably has similar estrogenic effects to BPA.
I’d say the moral of the story is be wary of received wisdom about chemical toxicity from people who aren’t chemists.
I mean, milk could also easily be death-free, but it’s not vegan. It’s also not suffering-free. So this suggestion kind of misses the point.
“Never attribute to malice that which is adequately explained by stupidity.” - Hanlon’s Razor
lmao
Be the change you want to see in the Fediverse.
Running short distances for no particular reason. Like if I’m a short distance from the car and realize I forgot something in it, I’ll run there and then run back.
Sometimes people are like “what’s wrong?? why are you running??” and I’m just like why not? It’s fun.
My alphabet soup must be haunted. It says “oooOOOooo…”
I dropped out of physics grad school (got a master’s degree as consolation prize). I needed a job, and knew how to code. So I applied to some big tech company and I was like “you’re going to pay me HOW much??” I had no idea I could get paid so much for just writing code and fixing bugs and stuff.
But now I really want to throw away that money and stability to work on AI alignment research, because it’s the most important thing in the world.
I got a grant to do independent research on the AI alignment problem and was able to quit my job.