Letter Notation is a mathematical notation created by MatthewNotebook.[1]
Definition[]
The Letter Notation is in form similar to the Arrow notation. It is based on 26 functions A, B, …, and Z denoted by single capital alphabets allowing both the standard convention using parentheses and the abbreviation of the parentheses. Namely, A(x) for an input x can be also denoted by Ax.
Ax = 10x. A1 = 10; A5 = 100000; A100 = googol; AA100 = A(A100) = googolplex.
Bx = Ax(1). B1 = 10; B2 = AA1 = 1010 = Dialogue; B3 = AAA1 = 101010 = Trialogue;
Cx = Bx(1). C1 = 10; C2 = BB1 = B10 = Dekalogue;
Dx = Cx(1). D1 = 10; D2 = CC1 = C10 = Deka-taxis;
And etc etc. Although it is not clarified in the original definition, the domains of those functions are perhaps the set of positive integers.
Advantages[]
According to the creator, the main advantage of this notation is the Letter Notation is easy-to-learn.[2]
Disadvantages[]
According to the creator, the main disadvantage of this notation is that it cuts short at Z and thus has a limit to its growth.[2]
Suorces[]
- ↑ MatthewNotebook, My Googology Notation. (Retrieved at UTC 22:30 03/08/2021)
- ↑ 2.0 2.1 The first version of this article.