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<H1>asymptotic lower bound</H1>
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(definition)
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<strong>Definition:</strong>
An <a href="asympbound.html" tppabs="http://hissa.nist.gov/dads/HTML/asympbound.html"><em>asymptotic bound</em></a>, as function of the size of the input, on the best (fastest, least amount of space used, etc.) an <a href="algorithm.html" tppabs="http://hissa.nist.gov/dads/HTML/algorithm.html"><em>algorithm</em></a> can possibly achieve to solve a problem. That is, no algorithm can use fewer resources than the bound.
<P><strong>See also</strong>
<a href="omegaCapital.html" tppabs="http://hissa.nist.gov/dads/HTML/omegaCapital.html"><em> <img src="Omega-1.gif" tppabs="http://hissa.nist.gov/dads/HTML/Images/Omega.gif" border=0 height=10 width=9 alt="Capital Omega"></em></a>, <a href="asympupprbnd.html" tppabs="http://hissa.nist.gov/dads/HTML/asympupprbnd.html"><em>asymptotic upper bound</em></a>, <a href="#asymptotically tight bound"><em>asymptotically tight bound</em></a>.
<P>Author: <a href="terms.html#authorSKS" tppabs="http://hissa.nist.gov/dads/terms.html#authorSKS">SKS</a>
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(<a href="mailto:paul.black@nist.gov">paul.black@nist.gov</a>).
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Entry modified Sat Aug 28 13:01:32 1999.<BR>
HTML page formatted Wed Dec 22 09:34:44 1999.
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