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}^{\dots}^{a}^</math>
+
<math>a^{a}^{\cdots}^{a}^</math>

Revision as of 12:50, 1 June 2017

TETRATE(a,n)


  • 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:

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