| has gloss | eng: In mathematics, the super-root is one of the two inverse functions of tetration. Just as exponentiation has two inverse functions: roots and logarithms, likewise tetration has two inverse functions: super-roots and super-logarithms. The super-root is the inverse function of tetration with respect to the base: if ^n y = x, then y is an nth super root of x. For example, :^4 2 = 2^2^2^2}}} = 65,536 so 2 is the 4th super-root of 65,536 and :^3 3 = 3^3^3}} = 7,625,597,484,987 so 3 is the 3rd super-root (or super cube root) of 7,625,597,484,987. |
