User:Cloudy176/Department of bubbly negative numberbottles/Jonathan's Functions

Hello, I am Jonathan! (No, sorry, not Jonathan Bowsers) I have created some functions that I'd like to post on my Googology page: (yeah, it's a little messy, I'll be editing them)

My New Googology System -

10 + 10 = 20

10 (+) 10 = 10^^^... (10 + 10 amount of ^’s) …^^^10

10 * 10 = 100

10 (*) 10 = 10^^^... (10*10 amount of ^’s) …^^^10

10^10 = 1E10

10(^)10 = 10^^^... (10^10 amount of ^’s) …^^^10

–––––

10 ((^)) 10 = 10^^^... (10^^^... (10^10 amount of ^’s) …^^^10 amount of ^’s) …^^^10

Can also be written as = [10,10] [2^1] or for short, since ten is given, [2^1]

Funs:

[2,1]

[10,10]

[10 (+) 10, 10 (+) 10]

[ [2^1], [2^1] ] --- can also be written as --- |2,2,1|


 * 2,2,2|


 * 10,10,10|


 * |10,10,10|, |10,10,10| , |10,10,10| | --- 3:3 (10’s are given )

10:10:10:10:10 (works right to left) --- 10_5

10_10_10 --- 10-(f3)-3 --- (f is for function, started with : - (f1)  and then _ - (f2))

10-(f10)-10 - J1

10-(f 10(+)10)-10

10-(f 10-(f10)-10)-10 - J2

J3

J10

J(J(J10) - J10,3

J(J(J(J(J(J(J(J(J(J10))))))))) - J10,10 - J>2

J>10

J>(J>10) --- J>>2

J>>10

J>>>10 --- J<3>10

J<10>10

J<(J<10>10)>10 --- J^2

J<(J<(J<10>10)>10)>10 --- J^3

J^4

J^10

J^(J^10) --- J^^2 (10’s are given)

J^(J^(J^10)) --- J^^3

J^^10 --- •J-2•

J^^^... w/ 10 (*) 10 amount of ^’s …^^^10 --- •J-(10 (*) 10)•

•J-(•J-10•)•

•J-(•J-(•J-10)•)• --- J°3

J°10 = j(1)

J°J°J°J°J°J°J°J°J°J°10 = j(10)

Jonathan’s Unfathomably Large Number

j(100)