Difference between revisions of "Manuals/calci/TETRATE"

Revision as of 12:54, 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}} .
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a^{a}^{\dots}^{a}^} the application of exponentiation $n-1$ times.
Tetration is simply defined by:For any positive real a>0 and non-negative integer we define by:

Failed to parse (syntax error): {\displaystyle a^{a}^cdots^{a}^}

@@ Line 8: / Line 8: @@
 *The hyperoperation after exponentiation is Tetration.
 *Tetration is called iterated exponentiation.
-*The notation <math>^n a</math>  means <math>a^{a}^{\dots}^{a}^</math> the application of exponentiation <math> n-1</math> times.
+*The notation <math>^n a</math>  means <math> a^a^a</math>.
+* <math>a^{a}^{\dots}^{a}^</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  we define by:
 <math>a^{a}^cdots^{a}^</math>
 *<math>\overbrace{ 1+2+\cdots+100 }</math>
 *<math>\cdots</math>