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Omni Archive
Vote for Us! (July) - Printable Version

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+---- Thread: Vote for Us! (July) (/showthread.php?tid=6485)

Pages: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23

RE: Vote for Us! (July) - Jaixe Furiael - 07-27-2017

Voted 25

RE: Vote for Us! (July) - Ash - 07-27-2017

vote #8

RE: Vote for Us! (July) - Skeletor - 07-27-2017

vote 11 (447/369/2448/1047)

RE: Vote for Us! (July) - PepsiYuuka - 07-27-2017

Vote 15.

RE: Vote for Us! (July) - Amaterasu - 07-28-2017

Vote 21 (449/371/2450/1049)

RE: Vote for Us! (July) - Cell - 07-28-2017

26

RE: Vote for Us! (July) - Guu - 07-28-2017

Voted: 24

Points go to Guu.

RE: Vote for Us! (July) - Summer - 07-28-2017

Vote 25!

RE: Vote for Us! (July) - Soldier 75 - 07-28-2017

Vote 3

RE: Vote for Us! (July) - PepsiYuuka - 07-28-2017

Vote 16. (12 hour)

RE: Vote for Us! (July) - Freeza - 07-28-2017

27

RE: Vote for Us! (July) - Makoto Yuki - 07-28-2017

Voted: 20

RE: Vote for Us! (July) - Ebonywood Hellscythe - 07-28-2017

Voted 23

Have a fun irrelevant maths fact (23 is boring and I've exhausted my supply relating to it).

If you keep flipping an unbiased coin until you get heads, what is the mean number of times you will have to flip it?

[spoiler]2. On average it will take 2 flips. Test it if you want.

Why?

Mean value will be equal to the sum of x*p where x is the flip number and p is the probability of it getting to that many flips. The sum of x*p is equal to S(n) as n -> infinty where S(n) = the sum of r*2^(-r) from r = 1 to r = n. (x = r, p = r*2^(-r))

Hence,

S(n) = 0.5 + 2*0.25 + 3*0.125 + 4*0.0625 + ... + (n-1)/[2^(n-1)] + n/(2^n)
0.5*S(n) = 0.25 + 2*0.125 + 3*0.0625 + 4*0.03125 + ... + (n-1)/(2^n) + n/[2^(n+1)]
S(n) - 0.5*S = 0.5*S = 0.5 + 0.25 + 0.125 + 0.0625 + ... + 1/(2^n) - n/[2^(n+1)]
S(n) = 1 + 0.5 + 0.25 + 0.125 + 0.0625 + ... - n/[2^(n+1)]
S(n) = 2 - n/[2^(n+1)]
As n -> inf, S(n) -> 2[/spoiler]

RE: Vote for Us! (July) - Tamsin Suzaku - 07-28-2017



Voted: 26 (458/377/2457/1056)

RE: Vote for Us! (July) - Soldier 75 - 07-28-2017

Vote 4

RE: Vote for Us! (July) - PepsiYuuka - 07-28-2017

Vote 17.

RE: Vote for Us! (July) - Cell - 07-29-2017

27

RE: Vote for Us! (July) - Summer - 07-29-2017

Vote 26!

RE: Vote for Us! (July) - Makoto Yuki - 07-29-2017

Voted: 21

RE: Vote for Us! (July) - Amaterasu - 07-29-2017

Vote 22 (464/382/2462/1061)