## FANDOM

10,821 Pages

Review of operators from successor function to tetration.

Although people have been saying in the comments that I should just stick to my previous notations I personally feel that I won't be satisfied with the notation until it is absolutely perfect with no chances of confusing any one.

To start off IĀ  am going to review what I would call the genesis operators of googology mainly addition and multiplicationĀ  although this may seem like a waste of time I feel that it is essential for my notation.

Before we start off with that we are going to review the successor function mainly s(n)=n+1

examples of the successor function are s(1)=2

Moving onto addition the 2nd most simple operator it represents the sum of two numbers.

An example of addition is the classic 1+1 featured in various jokes

Another is Also the first operator that could be classed as a googolism as you can get some pretty big numbers just with addition.

The next level above that is multiplication this is repeated addittion so for example 3*3=9 or 3+3+3 as there or 3 lots of 3.

Beyond that we get to exponents this is repeated multiplication of the same number by itself.

weĀ  denote this as x^y

An example of this is 2^10=1024 this means that you multiply 2 by itself 10 times.

Beyond that we get to tetration or repeated exponents.

an example of tetration is;

2^2^2 this means take two raise it to the power of two to make four you then take that number and raise it to power of 4 to make 16.

Another example of tetration is 10^(10^10) or ten raised to the power of ten billion.

Hopefully I explained it fairly well.