Difference between revisions of "Manuals/calci/TETRATE"

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*The hyperoperation after exponentiation is Tetration.
 
*The hyperoperation after exponentiation is Tetration.
 
*Tetration is called iterated exponentiation.
 
*Tetration is called iterated exponentiation.
*The notation <math>^n a</math>  means <math> a^a^a</math>.
+
*The notation <math>^n a</math>  means <math> a^a</math>.
 
* <math>a^{a}^{\dots}^{a}^</math> the application of exponentiation <math> n-1</math> times.
 
* <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:

Revision as of 12:56, 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}^}