Difference between revisions of "Manuals/calci/TETRATE"
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*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}^{\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: | *Tetration is simply defined by:For any positive real a>0 and non-negative integer we define by: | ||
| − | <math>a^{a}^ | + | <math>a^{a}^cdots^{a}^</math> |
Revision as of 12:51, 1 June 2017
TETRATE(a,n)
- is the base value.
- is power value.
is the base value.
is power value.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 (syntax error): {\displaystyle a^{a}^{\dots}^{a}^} the application of exponentiation times.
- Tetration is simply defined by:For any positive real a>0 and non-negative integer we define by:
,
means Failed to parse (syntax error): {\displaystyle a^{a}^{\dots}^{a}^}
the application of exponentiation 
times.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}^cdots^{a}^}