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A double exponential function is a constant raised to the power of an exponential function. The general formula is , which grows even faster than an exponential function. For example, if a = b = 10:
Factorials grow faster than exponential functions, but much slower than double-exponential functions. The hyper-exponential function and Ackermann function grow even faster. See Big O notation for a comparison of the rate of growth of various functions. The inverse of a double exponential function is a double logarithm. From Wikipedia under the
GNU Free Documentation License PLoS Computational Biology: Getting Started in Text Mining
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lingpipe hu, 25 Jun 2009 19:28:07 GM The problem, of course, is that if any of the x values get sufficiently large (greater than log(. Double. .MAX_VALUE) , which is about 710), they overflow to positive infinity when you calculate the exponent; if all of the values are tiny (less than -750 or so), ... So the largest value passed to the . exponential function. is 0. If there are really tiny values after subtraction, they'll become zero and drop out, as they should with limited precision arithmetic. ... From Google Blog Search: "Double exponential function" |


