Floating Numbers
A Floating 1 is a rare floating object in the shape of a 1. It is made out of 1-particles. Its size is ly |3-particles |}
- THE Floating Ƕ
Order function
Let's consider a function O(a), where 'a' is an array of numbers. The function then swaps two numbers at a time, using the most efficient method, ordering them from smallest to largest and outputs the amount of swaps it took.
O(5,3) = 1 (5,3 --> 3,5)
O(2,0,1) = 2 (2,0,1 --> 1,0,2 --> 0,1,2)
If we want to know what the largest output of a 3 element O(a,b,c) with a, b and c being equal to or smaller than n, we can write it as
or without tex, simply as O[n](a,b,c).
O[0](x elements) = 0 (trivial)
O[n](a) = 0 (trivial)
O[x](x elements)
to be continued
Dice and Coins
Bellow are the odds of guessing the outcomes of x dice rolls and n coin flips, in order of chance:
(combinations of dice and coins go up to 10:10, alone chances go up to 1 trillion)
1 coin flip - 1 in 2
2 coin flips - 1 in 4
1 dice roll - 1 in 6
3 coin flips - 1 in 8
1 coin flip, 1 dice roll - 1 in 12
4 coin flips - 1 in 16
2 coin flips, 1 dice roll - 1 in 24
5 coin flips - 1 in 32
2 dice rolls - 1 in 36
3 coin flips, 1 dice roll - 1 in 48
6 coin flips - 1 in 64
1 coin flip, 2 dice rolls - 1 in 72
4 coin flips, 1 dice roll - 1 in 96
7 coin flips - 1 in 128
2 coin flips, 2 dice rolls - 1 in 144
5 coin flips, 1 dice roll - 1 in 192
3 dice rolls - 1 in 216
8 coin flips - 1 in 256
3 coin flips, 2 dice rolls - 1 in 288
6 coin flips, 1 dice roll - 1 in 384
1 coin fli…
Unusual time units
Planck time - 1 lp Kilo planck time - 1000 lp Mega planck time - 1,000,000 lp Giga planck time - 1,000,000,000 lp Tera planck time - 1,000,000,000,000 lp Peta planck time - 1,000,000,000,000,000 lp Exa planck time - 1,000,000,000,000,000,000 lp
Yoctosecond - 539,100,000,000,000,000,000 lp
Zetta planck time - 53.91 yoctoseconds
Yoctominute - 60 yoctoseconds
Zeptosecond - 1000 yoctoseconds
Yoctohour - 3 zaptoseconds 600 yoctoseconds
Yotta planck time - 53.91 zeptoseconds
Zeptominute - 60 zeptoseconds
Yoctoday - 86 zeptoseconds 400 yoctoseconds
Yoctoweek - 604 zeptoseconds 8 yoctoseconds
Attosecond - 1000 zeptoseconds
Yoctomonth - 2 attoseconds 628 zeptoseconds
Zeptohour - 3 attoseconds 600 zaptoseconds
Yoctoyear - 31 attoseconds 540 zeptoseconds
Attominut…
Omega power modulos
Thanks to the patterns of division, we can combine them and transfinite ordinals.
n* = n possible answers