The term double exponential function can have two meanings:
- a function with two exponential terms, with different exponents
- a function f(x) = aax; this grows even faster than an exponential function; for example, if a = 10: f(−1) = 1.26, f(0) = 10, f(1) = 1010, f(2) = 10100 = googol, ..., f(100) = googolplex.
Factorials grow faster than exponential functions, but slower than double-exponential functions. Fermat numbers, generated by and double Mersenne numbers generated by are examples of double exponential functions.
Read more about this topic: Exponential Function
Famous quotes containing the words double and/or function:
“We are, I know not how, double within ourselves, with the result that we do not believe what we believe, and we cannot rid ourselves of what we condemn.”
—Michel de Montaigne (15331592)
“It is the function of vice to keep virtue within reasonable bounds.”
—Samuel Butler (18351902)
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