Manuals/calci/TETRATE

From ZCubes Wiki
Jump to navigation Jump to search
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 the application of exponentiation times.
  • For any positive real a>0 and non-negative integer we define by:

Failed to parse (unknown function "\begin{cases}"): {\displaystyle ^n{a} = \begin{cases} 1, & \mbox{if }n\mbox{ =0} \\ a^{a^{(n-1)}}, & \mbox{if }n\mbox{ >0} \end{cases}}

\begin{cases} n/2, & \mbox{if }n\mbox{ is even} \\ 3n+1, & \mbox{if }n\mbox{ is odd} \end{cases}

Examples

  1. TETRATE (3,2) = 27
  2. TETRATE (4,3) = 1.3407807929942597e+154
  3. TETRATE (10,2) = 10000000000

Related Videos

Exponent

See Also

References