0
A little factorial extension 2
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 = (((...(((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 --
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Hyper Notation
- 1 Basic
- 2 Extension 1
- 3 Extension 2
- 4 Extension 3
- 5 Extension 4
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 --
4
Ultimate List of Numbers 2
So yeah, i'm reviving my list of numbers.
- 1 Introduction
- 2 Negative Infinities (-(Sam's Absolute Infinity) - -(Absolute Infinity))
- 2.1 Negative Sam's Absolute Infinity (-(Sam's Absolute Infinity))
- 2.2 Negative Sam's Infinity (-(Sam's Infinity))
- 2.3 Negative Absolute Infinity (-(Absolute Infinity))
- 3 Negative Ordinals (-(Absolute Infinity) - -w)
- 3.1 Negative Sam's Ordinal (-(Sam's Ordinal))
- 3.2 Negative fixed point of Aleph (-(a --> N_a))
- 3.3 Negative Aleph Aleph Aleph 1 (-(N_N_N_1))
- 3.4 Negative Aleph Aleph Omega (-(N_N_w))
- 3.5 Negative Aleph Aleph 1 (-(N_N_1))
- 3.6 Negative Aleph Church Kleene Ordinal (-(N_(w^CK_1)))
- 3.7 Negative Aleph Epsilon Zero (-(N_e(0)))
- 3.8 Negative Aleph Omega (-(N_w))
- 3.9 Negative Aleph Two (-(N_2))
- 3.10 Negative Aleph 1 (-(N_1))
- 3.11 Negative Chu…