Manuals/calci/TETRATE
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TETRATE(a,n)
Description
- This function shows the tetration value of the given number.
- In , is the base value and is the power value.
- The hyperoperation after exponentiation is Tetration.
- Tetration is called iterated exponentiation.
- The notation 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}...} the application of exponentiation {\displaystyle n-1} n-1 times.
- Tetration is simply defined by:For any positive real {\displaystyle a>0} a>0 and non-negative integer {\displaystyle n\geq 0} n\geq 0, we define {\displaystyle \,\!{^{n}a}} \,\!{^{n}a} by:
,
is the power value.
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}...}
the application of exponentiation {\displaystyle n-1} n-1 times.