Difference between revisions of "Manuals/calci/TETRATE"

Revision as of 12:48, 1 June 2017

TETRATE(a,n)

This function shows the tetration value of the given number.
In $TETRATE(a,n)$ , $a$ is the base value and $n$ is the power value.
The hyperoperation after exponentiation is Tetration.
Tetration is called iterated exponentiation.
The notation $^{n}a$ means Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. TeX parse error: Double exponent: use braces to clarify"): {\displaystyle a^{a}^{a}^{\dots }} the application of exponentiation $n-1$ times.
Tetration is simply defined by:For any positive real a>0 and non-negative integer {\displaystyle n\geq 0} n\geq 0, we define {\displaystyle \,\!{^{n}a}} \,\!{^{n}a} by:

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 *The hyperoperation after exponentiation is Tetration.
 *Tetration is called iterated exponentiation.
-*The notation <math>^n a</math>  means <math>a^a^a^\dots</math> the application of exponentiation <math> n-1</math> times.
+*The notation <math>^n a</math>  means <math>a^{a}^{a}^{\dots}</math> the application of exponentiation <math> n-1</math> times.
 *Tetration is simply defined by:For any positive real  a>0 and non-negative integer {\displaystyle n\geq 0} n\geq 0, we define {\displaystyle \,\!{^{n}a}} \,\!{^{n}a} by: