Changes

*The hyperoperation after exponentiation is Tetration.

*The hyperoperation after exponentiation is Tetration.

*Tetration is called iterated exponentiation.

*Tetration is called iterated exponentiation.

*The notation <math>^n a</math>  means <math> a^a^a</math>.

*The notation <math>^n a</math>  means <math> a^a^\cdots^a</math> the application of exponentiation <math> n-1</math> times.

* <math>a^{a}^{\dots}^{a}^</math> the application of exponentiation <math> n-1</math> times.

*For any positive real a>0 and non-negative integer <math>n\ge 0</math> we define <math>^n a</math>by:

*Tetration is simply defined by:For any positive real a>0 and non-negative integer we define by:

<math>^n a</math> =

<math>a^{a}^cdots^{a}^</math>

\begin{cases}

*<math>\overbrace{ 1+2+\cdots+100 }</math>

1,  & \mbox{if }n\mbox{=0} \\

*<math>a^2</math>

a^{[(n-1)a]}, & \mbox{if }n\mbox{ >0}

\end{cases}</math>