Exponential Function - Double Exponential Function

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:

    “Each in their double Eden closed
    They fail to see the gardener there
    Has planted Error....”
    —Philip Larkin (1922–1986)

    “The function of muscle is to pull and not to push, except in the case of the genitals and the tongue.”
    —Leonardo Da Vinci (1425–1519)