10,101 Pages

# Alejandro Magno

• ## A little factorial extension 2

October 28, 2014 by Alejandro Magno

n!0 = n!

n!1 = (((...(((n!)!)!)...)!)!)!)! with n levels

n!(m+1) = (((...(((n!m)!m)!m)...)!m)!m)!m)!m with n levels

n![0] = n!

n![1] = n!n

n![1]0 = n![1]

n![1](m+1) = (((...(((n![1]m)![1]m)![1]m)...)![1]m)![1]m)![1]m)![1]m with n levels

n![1][1] = n![1]n

n![2] = n![1][1][1]...[1][1][1] with n [1]'s

n![m+1] = n![m][m][m]...[m][m][m] with n [m]'s

n![0,1] = n![n]

-- UNDER CONSTRUCTION --

• ## Hyper Notation

October 27, 2014 by Alejandro Magno

H = n^n

H = H

H = H

H = H with n entries

H = H

H = H

H = H

Rules are same as Extension 1 but H = H with n entries

Let & is any array

H = Check rules of basic and extensions 1 and 2 to resolve the array in the dimension (and maybe &)

-- UNDER CONSTRUCTION --

• ## Notation Comparison

October 27, 2014 by Alejandro Magno

Here, i will compare various notations.

FGH SGH Hardy BEAF BAN ExE HAN My EUAN Aarex's EUAN NFN Hyphen Notation Dollar Function R Function
0 w+1 1 {n+1} {n+1} nE0 1! n+1 n+1 1! n-1 n\$1 0R0
1 w*2 w {n*2} {n*2} nE1 2! n*2 n*2 2! n-1 n\$[0] 1R0
2 w^2 w^2 {n,2} {n,2} nE2 n! n^2 n^2 n! n-2 n\$[1] 2R0
3 w^w w^3 {n,n} {n,n} nEn n![2] n^n n^n n![2] n-n n\$[2] nR0
4 e(0) w^4 {n,n,2} {n,n,2} nEn#n n![3] n^^n n^n n![3] n-n-2 n\$[3] nR1

-- UNDER CONSTRUCTION --

â€¦

• ## Ultimate List of Numbers 2

October 26, 2014 by Alejandro Magno

So yeah, i'm reviving my list of numbers.

Ok. I'm making this list of numbers because many others have been making ones, and that inspired me to make one. This list will be better than my previous failed attempt, and it will have a lot of numbers.

This list was inspired by:

Aarex's Number List

Saibian's Number List

Mufano's Number List

Negative version of Sam's Absolute Infinity.

Negative version of Sam's Infinity.

The negative version of the biggest possible infinity in this list. Of course, absolute infinity is just a theory.

Negative version of Sam's Ordinal.

To get a better definition of these ordinals, see Negative Omega up to Negative Epsilon Zero.

-(e(0)) = lim(-w,-(w^w),-(w^w^w),...). I think you will understand theâ€¦

• ## Announcement

October 24, 2014 by Alejandro Magno

Closed because asdf i'm back.