Letter Notation

Letter notation is a notation created by Googology Wiki user CatPrinceHQ3 which uses letters to describe itself.CatPrinceHQ's Googology Archived 2023-03-25.letter-notation-and-its-s CatPrinceHQ's Googology In this notation, a letter is an -illion number and a letter followed by a * is its uppercase ASCII value minus 64. 
It can also be condensed using ||. 
== Definition ==
The value of a string is 1000 raised to its value in bijective base-26, where instead of starting with 1234... we start with abc... Condensation is where for a letter A, A|n| is A repeated n times. It is allowed to put a number in front, multiplying the number.
== Definition using equations ==
Let \(f(X)\) for \(X\) made out of a string of letters be defined as follows:
\(f(X)=\overset{|X|-1}{\underset{i=0}{\sum}}(X_i)^{*}26^{|X|-i-1}\) where:
*\(|X|\) is the length of \(X\)
*\((X_i)^{*}\) is the 1-indexed position of \(X_i\) in the alphabet, or its uppercase ASCII value minus 64.
*\(X_i\) is the \(i-1\)th letter in \(X\).
\(v(X) = 1000^{f(X)}\) where \(v(X)\) is the value of \(X\) in CatPrince's Letter Notation.
\(v(X,n) = n 1000^{f(X)}\) where \(v(X,n)\) is the value of \(nX\) (\(X\) with \(n\) in front) in CatPrince's Letter Notation.
== Examples ==
f = sextillion
Take googology^^wiki.
Googology = 104760971760529
Wiki = 101231881
104760971760529^^101231881 which is approximately 10^^101231881
Now, it has an actual value.
== Issues ==
Unfortunately, Letter Notation is ill-defined due to the use of ambiguous ellipses.
== See Also ==
*Replication
*Multireplication
*Expandoreplication
*Tetrareplication
*Pentareplication
*Clonation
== Extensions ==
By BranchesofFate: Go to section 'CatPrinceHQ3's Letter Notation -> X.A.N. 
== Applications ==
This notation is used to represent numbers in these games:
* Idle Miner Tycoon
* Idle Bee Factory Tycoon
== Sources ==
Category:Functions
Category:Notations