User blog:Nayuta Ito/Extended Butt Notation

When I was playing Tangerine Tycoon, I thought, "Why do people always write 'ae^b' for $$a\times 10^b$$? 10 is of course not e!" Then, I found "change notation" button, so I pressed it several times to get "right" expression.

While pressing the button, I found something strange:

a ( Y  ) b

This is called "butt notation" and there is even an achievement for finding this.

Now, stop playing the game and start the googology.

Definition:$$A(Y)B=a\times 10^b$$ //Y is not a variable but a part of the notation.

(Y) is right-associative because that's bigger than the left one.

$$A(YY)0=A$$

$$A(YY)B=A(Y)A(YY)(B-1)$$

Yeah, the same pattern as up-arrow notation comes in.

//WIP