Manuals/calci/TETRATE

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 (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   times.
  • Tetration is simply defined by:For any positive real a>0 and non-negative integer {\displaystyle n\geq 0} n\geq 0, we define {\displaystyle \,\!{^{n}a}} \,\!{^{n}a} by: