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<H1>exponential</H1>
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(definition)
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<strong>Definition:</strong>
(1) Any function which is the sum of constants times other constants to the power of the argument: f(x)= <img src="Sigma.gif" tppabs="http://hissa.nist.gov/dads/HTML/Images/Sigma.gif" border=0 height=10 width=8 alt="Capital Sigma"><sub>i=0</sub><sup>k</sup>c<sub>i</sub>b<sub>i</sub><sup>xp<sub>i</sub></sup>. (2) In complexity theory, the measure of computation, m(n) (usually execution time or memory space), is bounded by an exponential function of the problem size, n. More formally m(n) = <a href="bigOnotation.html" tppabs="http://hissa.nist.gov/dads/HTML/bigOnotation.html"><em>O(k<sup>n</sup>)</em></a>.
<P><strong>See also</strong>
<a href="logarithmic.html" tppabs="http://hissa.nist.gov/dads/HTML/logarithmic.html"><em>logarithmic</em></a>, <a href="linear.html" tppabs="http://hissa.nist.gov/dads/HTML/linear.html"><em>linear</em></a>, <a href="polynomial.html" tppabs="http://hissa.nist.gov/dads/HTML/polynomial.html"><em>polynomial</em></a>.
<P>Author: <a href="terms.html#authorPEB" tppabs="http://hissa.nist.gov/dads/terms.html#authorPEB">PEB</a>
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Entry modified Wed Sep 22 16:46:19 1999.<BR>
HTML page formatted Wed Dec 22 09:35:17 1999.
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