MrRubix's Riddle/Problem Thread: Rebirth

[MrRubix]

Re: MrRubix's Riddle/Problem Thread: Rebirth

So how is it supposed to be done?

Here's my thoughts:

The ceiling is 15 feet, and the person is 6 feet tall. This means the bottom of the pole is about chest height. I would adjust my grip on the pole so that both hands are on the same side of the pole, and then pull it straight down so that the cup is not touching the top, and while looking up at the cup, just slam the pole down on the ground. The mug and the stuff inside should both fall down very uniformly if I did this right. I am also still looking up and concentrating on the falling cup, so I can catch it quite easily. I can assume that any drops that may spill from the cup will fall very near to the area that I am standing. I also assume that I am not close enough to the flames so as to be in danger of burning, so the small spillage that may occur seems negligible. Now, for the same reason I can put the mug on the floor, and maybe even pick up the pole and prop it against the window. I realize the pole may have been in the flames, and I guess I'm just assuming it is a metal pole (it didn't melt as if it were plastic). I can climb on the pole to avoid the flames if necessary to reach the window.

Seems like a pretty reasonable solution to me.

This is more or less what I did to get the cup (with one slight difference to get around the spillage issue), but your escape plan is not one I'd want to pursue, lol.

[awein999]

Re: MrRubix's Riddle/Problem Thread: Rebirth

hopefully you catch it...

[rushyrulz]

Re: MrRubix's Riddle/Problem Thread: Rebirth

letseeee... I would press really hard on the bottom of the cup with the pole so it goes through the bottom and hits the ceiling, no spillage since I'm pushing up. This could probably be done, seeing as you got like 500 fluid ounces of adrenaline pumping in a near-death situation. There would be a bit of leakage from the new hole, lubricating the pole with a fresh coat of gas and lessening the amount in the cup. Since the pole is now lubricated, the cup would slide down within my reach, I would bring the cup down to the ground, take the pole out of the hole in the cup upwards (the cup is now on the ground so there is no more leakage.), then assuming that my safe area is more than 10 feet, I would lay the pole down and wait for it to dry, if it's not 10 feet, wave it in the air to dry. Then I would pick the pole up once it was dry again and wave out the fire in a pathway to the window and make an orderly exit.

Thing that might be in question here: The reaction to the pressing up on the mug. Would the whole bottom cave, or would the sides crack? Nothing could cause too much of a mess that would exit my safe area.

EDIT: Math problem... ewww calculus...

[rzr]

Re: MrRubix's Riddle/Problem Thread: Rebirth

What's the video comprised of? Mobile web and dial up... no videos. Can someone tell me?

[ieatyourlvllol]

Re: MrRubix's Riddle/Problem Thread: Rebirth

Hmm...the pole vault method would probably be the most suitable. Additionally, to reduce the possibility of uncontrolled spillage upon catching the cup, you could try fashioning a net out of your clothing. Had there been an additional restriction like "you're not allowed to put the cup on the ground," I would have suggested that if your window was particularly big, you could make further use of your garments by wrapping them around the cup to temporarily inhibit seepage on a subsequent throw (out the window). Otherwise (if the risk was too high), you would use a similar process, except that the bundle would be tied around the pole with the cup base perpendicular. In this case, the gasoline would first contact the fabric at roughly halfway through your vault, but if possible (assuming average absorption and permeability), leakage would take longer than what would be required for you to finish your escape.

[MrRubix]

Re: MrRubix's Riddle/Problem Thread: Rebirth

Hmm...the pole vault method would probably be the most suitable. Additionally, to reduce the possibility of uncontrolled spillage upon catching the cup, you could try fashioning a net out of your clothing. Had there been an additional restriction like "you're not allowed to put the cup on the ground," I would have suggested that if your window was particularly big, you could make further use of your garments by wrapping them around the cup to temporarily inhibit seepage on a subsequent throw (out the window). Otherwise (if the risk was too high), you would use a similar process, except that the bundle would be tied around the pole with the cup base perpendicular. In this case, the gasoline would first contact the fabric at roughly halfway through your vault, but if possible (assuming average absorption and permeability), leakage would take longer than what would be required for you to finish your escape.

Right on

[Fractal_Monkey]

Re: MrRubix's Riddle/Problem Thread: Rebirth

No-one else going for the math one? Okay then, I'll try it.

Evaluate (Σ of k=2 to infinity) for (ζ(k)-1)
Where the zeta function (ζ) is defined as:
ζ(s) = (Σ of n=1 to infinity) for 1/(n^s)

Given that ζ(s) - 1 = 1/2^s + 1/3^s + 1/4^s + ...

(Σ of k=2 to infinity) for (ζ(k)-1) can be expressed as:

(1/2^2 + 1/3^2 + 1/4^2 + ...) + (1/2^3 + 1/3^3 + 1/4^3 + ...) + (1/2^4 + 1/3^4 + 1/4^4 + ...) + ...

These terms can be re-ordered as:

(1/2^2 + 1/2^3 + 1/2^4 + ...) + (1/3^2 + 1/3^3 + 1/3^4 + ...) + (1/4^2 + 1/4^3 + 1/4^4 + ...) + ...

Each bracketed series is a geometric progression with initial term 1/n^2 and ratio 1/n (n = 2, 3, 4, ...), so the sum of the general bracket is (1/n^2)(n/n-1) = 1/n(n-1). Therefore:

(Σ of k=2 to infinity) for (ζ(k)-1) = (Σ of n=2 to infinity) for (1/n(n-1))
= (Σ of n=1 to infinity) for (1/n(n+1))

Now, 1/n(n+1) = 1/n - 1/(n+1) , so

(Σ of n=1 to infinity) for (1/n(n+1)) = (Σ of n=1 to infinity) for (1/n) - (Σ of n=1 to infinity) for (1/(n+1))
= (1 + 1/2 + 1/3 + 1/4 + ...) - (1/2 + 1/3 + 1/4 + 1/5 + ...)
= 1 + 1/2 - 1/2 + 1/3 - 1/3 + 1/4 - 1/4 + ...
= 1 + 0 + 0 + 0 + ...
= 1

[MrRubix]

Re: MrRubix's Riddle/Problem Thread: Rebirth

Correct

I'll post new riddles later

[emerald000]

Re: MrRubix's Riddle/Problem Thread: Rebirth

I felt like posting a mathematical riddle of my own. It's a relatively simple problem within the reach of anyone. No need to use calculus or anything of the sort.

Assuming a > b > 0, order the harmonic mean, the geometric mean, the arithmetic mean and the root mean square in a relation of inequality. (Exemple: HM < AM < RM < GM)

Harmonic mean: 2ab/(a+b)
Geometric mean: sqrt(ab)
Arithmetic mean: (a+b)/2
Root mean square: sqrt((a²+b²)/2)

Ordering the inequalities is easy, proving it is somewhat harder.

[MrRubix]

Re: MrRubix's Riddle/Problem Thread: Rebirth

If nobody else is gonna take that one, I will, lol. I'll give someone else a chance though.


I'll add some more stuff later tonight.

[Fractal_Monkey]

Re: MrRubix's Riddle/Problem Thread: Rebirth

I've got the ordering and a proof, but I answered the last one. It's someone else's turn.

[orlando2k7]

Re: MrRubix's Riddle/Problem Thread: Rebirth

I was close to the answer for the math one.

I had it after the answer was revealed. :/

[MrRubix]

Re: MrRubix's Riddle/Problem Thread: Rebirth

New riddles up

[Bolth mannn]

Re: MrRubix's Riddle/Problem Thread: Rebirth

i know its already been answered...but id just control-spill the cup directly in the middle of the room and make sure it doesnt spread to the fire then just WAIT for help

EDIT: is the room big enough for me to do that?

[FuzenAkuma]

Re: MrRubix's Riddle/Problem Thread: Rebirth

Wouldn't the probability of choosing the two-headed quarter just be 1/573?