User blog:Kel47/Kel's Exploding T Notation

This is a new notation I came up with that's somewhat similar to Hyper E. It is called Kel's Exploding T Notation.

The rules are:

1. $$Ta = 10^a, a \in Z+$$

2. aTb = 10^{10}^{10}^{10}^b a tens

3. Tb@c = cTb

4. aTb@c...@y@z = aTb@c...@zTy

5. aTb@@c = aTb@c@c@c@c (c times)

6. aTb(@^c)d = aTb(@^c-1)d(@^c-1)d(@^c-1)d... (d times)

Examples:

T1 = 10^1 = 10

T2 = 10^2 = 100

T100 = 10^100 = Googol

2T100 = 10^(10^100) = Googolplex

8T100 = (10^^8)^100 = Googoloctiplex

100T100 = (10^^100)^100 = Googolcentiplex

2-entry numbers

T10@2 = 2T10 = 10^10^10 = Trialogue T100@10 = 10T100 = (10^^10)^100 = Googoldeciplex

3 Entry Numbers

T10@2@3 = T10@3T2 = T10@(10^10^10^2) = 10^10^10^2T10 $$\approx$$ 10^^(10^^4)^10 $$\approx. $$ 10^^^3

T10@10@100 Googolkel =T10@100T10 =(100T10)T10 =(10^^100^10)T10 =10^^(10^^101+1)

Linear Numbers

T10@2@2@4 = T10@2@4T2 = T10@(4T2)T2 = ((4T2)T2)T10 = ((10^^4^2)T2)T10 = $$\approx$$ 10^^(10^^(10^^4^2)^2) > 10^^^4

T10@10@10@100 Googolplexkel

T10@10@10@10@10@10 Sexdenalinakel

T10@10@10@10@10@10@10 Septendenalinakel