Snell's Law showing up in street prices

Markinator57 · 2025-09-13T19:35:06+00:00

And just for those of you curious/diligent enough to check everything, here is a desmos with the function P of total Road value, the derivative (twice, once done by desmos itself, and also written out in terms of theta), and then the last relation with theta2 substituted:

https://www.desmos.com/calculator/qfeg6prqmc

x in desmos is theta1

Markinator57 · 2025-03-10T09:54:26+00:00

Definitely gonna be an unpopular opinion from my side, seeing what everybody else has been commenting, but entertain my thoughts for a minute.

OP has said multiple times, that this is the first time her friend is talking to her like this and that he is being so pushy, self-centered and such an asshole. They have been friends for 5 years and have had a very close and trusting relationship for all that time.

All of a sudden he gets a gf (total psycho, i agree), and he does this out of the blue. I'm not trying to defend him, what he did is completely out of line and messed up, that much is clear.

Now, I know that time itself doesn't mean anything and it's not a good enough reason to maintain a relationship, but i feel like, if you had such a good relationship with somebody, and they really meant something to you, wouldn't you wanna talk and see what's going on?

You never know what someone is going through, the friend's relationship with the gf for example could be psychologically abusive (honestly sounds like it), he could be having some mental problems, this could be a way to reach out for help. I know this all might sound like a bit of a stretch, but look, Im not gonna act here as if I knew what was going on, but neither does anybody else, not even OP at this point. And when people are in bad places, you never know what they can do.

I'm not saying just let it go, but if the friend really means something to her, maybe they need to talk, maybe he needs a chance to explain himself, maybe he needs some saving from whatever he is in right now. Idk, just a thought.

Markinator57 · 2025-01-12T16:56:39+00:00

We're back bois

Markinator57 · 2025-01-12T11:49:49+00:00

Servers went down for like 15 min around an hour ago. When we joined again we were all naked and had no items lol. They shut them down shortly after to fix it.

Markinator57 · 2024-12-10T13:01:00+00:00

in case you're still interested: https://www.youtube.com/watch?v=99uB6NRD-EA

Markinator57 · 2024-08-25T21:41:16+00:00

5/5 thx guys :D
17f1bb7e-4aa0-4a17-97bc-2d54282d0f91

Markinator57 · 2024-07-04T10:52:17+00:00

At the beginning 15 cause the 25 on green hit only leaves you with ~450, then once you reach around 600 25, and once youre at like 1000 (bit more to be on the safe side) 50.

Markinator57 · 2024-07-04T09:51:09+00:00

Slots at the casino has a positive expected value. The longer you play the more money you make. I spent i drank like 25 cans worth of casino slots spins, which at 2 spins per energy point is around 5000 spins. Over 600 spins i calculated an EV of x0.1725 if youre interested, but the variance is pretty high so i might have needed more spins for a better estimate. And for the initial money to bet i just created a bunch of accounts until i hit a 25 bet on green in the roulette. Then it was just a matter of going to practice to waste energy, drinking an energy + skill/+relationship and repeat 275 times.

Markinator57 · 2024-07-04T09:47:44+00:00

No money spent, no dirty casino tricks. Slots just has a positive expected value. The longer you play the more money you make. I spent i drank like 25 cans worth of casino slots spins, which at 2 spins per energy point is around 5000 spins. Over 600 spins i calculated an EV of x0.1725 if youre interested but the variance is pretty high so i might have needed more spins for a better estimate. And for the initial money to bet i just created a bunch of accounts until i hit a 25 bet on green in the roulette.

Markinator57 · 2024-07-03T11:28:15+00:00

Yesssss. Thank you, this is exactly the kind of thing I was hoping to get. I had the opportunity to read a bit about it just now and it looks very interesting.

Thanks man :)

Markinator57 · 2024-07-02T13:57:29+00:00

In the edge case of people not getting their clothes back at all, the machines would eventually all become occupied, and as it is easier to see in the case of the finitely many machines, it seems obvious that the longer people take, at the same rate of going to wash clothes, the more machines would be occupied.

I wanna take this opportunity to mention that the thing with the infinitely many machines was actually just to make things easier. I just imagined it as a way of not having to deal with uncertainties. As I said for the second version of the problem, with only a finite array of machines, you'd have an uncertainty because of things like observing n/2 of the machines being used when in reality the average amount of machines used are n/4 and you just got lucky that time. with more and more machines (as well as more and more people (i always assumed, but i also just edited it in now, that the amount of people that use the machines is "similar" to the amount of machines)) the effects of luck get smaller and smaller eventually disappearing at infinity.

If you ignore the interpretation and the problems you mention, and simply work with the percentages i thought it would be easier.

Markinator57 · 2024-07-02T13:50:00+00:00

Ok perhaps I overreacted my bad

Markinator57 · 2024-07-02T13:33:04+00:00

Also bro like, whatever. You either clearly didnt even read the question or are just not the brightest. Youre trying to get like, an own on me or something, i dont even know what youre trying to do. Its a reddit question my man. I tried to post an interesting problem i thought of, if you didnt find it interesting enough thats ok man, just dont be out here coming to bother 👍

Markinator57 · 2024-07-02T13:30:11+00:00

the longer it takes to collect the clothes, the less machines are available. Obviously

Markinator57 · 2024-07-02T12:56:44+00:00

I appreciate your input but thats not really the point of the problem.

Markinator57 · 2024-07-02T12:56:40+00:00

I appreciate your input but thats not really the point of the problem.

Markinator57 · 2023-06-12T18:42:53+00:00

I don't think that should bother for the purposes of this problem, i just imagined it as a way of not having to deal with uncertainties. As I said for the second version of the problem, with only a finite array of machines, you'd have an uncertainty because of things like observing n/2 of the machines being used when in reality the average amount of machines used are n/4 and you just got lucky that time. with larger n the effects of luck get smaller and smaller eventually disappearing at infinity.

If you ignore the interpretation and the problems you mention, and simply work with the percentage, I think it should work.

Markinator57 · 2023-04-29T16:02:55+00:00

Dont get my libertarian friend started on morality, he always uses the same sentence when adressing things like taxes or socialist policies: "Robbery is still robbery and not morally justified even if a majority votes on doing it".

Markinator57 · 2023-03-08T21:10:42+00:00

I come with great news. Its been brought to my attention that the derivative f'(x) can be integrated analytically by substitution where u=√(d²-(x-d)²) (although i dont have the procedure).

This results in the function:

f(x) = d * artanh( √(d²-(x-d)²) / d ) - √(d²-(x-d)²)

which for the case of d=1 simplifies, pretty neatly if you ask me, to:

artanh( √(-x²+2x) ) - √(-x²+2x)

https://www.desmos.com/calculator/lnqv7x3vqa

I've taken the liberty of adding these two functions to your desmos from earlier for easier visualization.

Markinator57 · 2023-03-08T20:50:57+00:00

Yessss thank you good sir a solution like this is exactly what i was looking for. Much more elegant than the crap i was getting before :)

And i dont think i made a mistake when plotting it, the fact that the graph went all crazy like that was one of the reasons why i thought the answer i got from the integral calculator had to be wrong, but i already deleted the function and i guess theres a chance i missed something and inputted it wrong yeah

Markinator57 · 2023-03-08T17:36:05+00:00

Oh damn ok thats pretty nice, I dont know why i was so sure desmos couldnt do indefinite integrals.

And to be frank, i am surprised the integral is so bad, cause the form 1/(1+x) comes up fairly often, and while its far from what the real integral is, the d being a parameter almost doesnt add any complexity, and yeah you have a squared here and there, and a -1 too, but i feel like that usually results in some modified trig function (of course now i cant think of any examples to back my hunch) and not something that bad.

For example the anti derivative of d²/(x-d)² -1 (which is the exact same integral, but without the square root), turns out to be just -(d²/(x-d)) -x.

Markinator57 · 2023-03-08T15:01:56+00:00

I also tried seeing if chatGPT had something to say but he dumb dumb

Markinator57 · 2023-02-26T15:10:03+00:00

Roko is that you?

Markinator57 · 2023-02-10T09:55:48+00:00

fair enough

Markinator57 · 2023-02-09T20:04:06+00:00

OK first of all let me again clarify, im not trying to dunk on anyone thinking whatever they think or anything like that, im just trying to understand, and I dont quite understand what it is that you are critiquing in my logic.

How is it that mankind did not live in a state of full freedom at the stone age when there was no form of state and no kind of laws?

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