Forum:Decimal Diagonalization

Ok first we start with

$$X^0=1$$

Then

$$X^1=10$$

$$X^2=100$$

And so on, generally X to the n means "1 at the n+1th place" with zeroes filling the rest of the places

You can make more complex numbers like X^2+X^2 which is 200

To save space you can add a new notation like

a(X^b) = X^b+X^b+X^b for a X^b's

so for example 3(X^3) = X^3+X^3+X^3

or even chains with different powers, for example 3(X^3)+X^2 is 3100

Now you might say, even though X^100 = googol, the notation isn't too strong, but check this out

$$X^{X^{100}}$$

That was googolplex, thats right, the powers can also be expressed in terms of X's

Limit to the notation?

$$X^{X^{...}}$$

Who knows?. Maybe i'll add to it later, feel free to suggest and comment Chronolegends (talk) 17:35, May 7, 2017 (UTC)