## 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)

x

1

2

3

4

5

=

0

1

2

3

4

O(x)

0

1

0,1

1,0

2,0,1

1,2,0

3,0,1,2

2,0,3,1

+ 6 more

...

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

mod

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

0

0

1, 2

0

0

2, 4

1, 6

0

6*

0

5*

4, 8

12*

6, 8

5, 10

0

16*

7*

1

0

## Wiki adoption

im making this blog post as a sort of announcement for my wiki adoption request

since there are plenty of pages that are completely empty and devoid of content, pages that just spam emojis and the infobox, even pages that have nothing to do with this wiki whatsoever, using bureucrat privileges to delete them would be, in my opinion, the best choice

there are also pages that dont have categories or need some cleaning up, but they are protected. this, along with inactive admins, is a thing that i would like to fix, at least temporarily

thats about it, there may be some other things, but these are all that i have planned