Manuals/calci/TETRATE

TETRATE(a,n)

• $a$ is the base value.
• $n$ is power value.

Description

• This function shows the tetration value of the given number.
• In $TETRATE(a,n)$,$a$ is the base value and $n$ is the power value.
• The hyperoperation after exponentiation is Tetration.
• Tetration is called iterated exponentiation.
• The notation $^{n}a$ 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}} .
• 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}^{\dots}^{a}^} the application of exponentiation $n-1$ 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}^}

• $\overbrace {1+2+\cdots +100}$
• $a^{2}$