decomposable.html

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<H1>decomposable searching problem</H1>
<P>
(definition)

<P>
<strong>Definition:</strong>
A searching problem for which one can decompose the searched domain into subsets, find answers from these subsets, and combine these answers to form the solution to the original problem.  More formally a problem with a query Q is decomposable given if there exists an efficiently computable <a href="associative.html" tppabs="http://hissa.nist.gov/dads/HTML/associative.html"><em>associative</em></a> and <a href="commutative.html" tppabs="http://hissa.nist.gov/dads/HTML/commutative.html"><em>commutative</em></a> binary operator @ satisfying the condition: Q(x, A  union B) = @(Q(x,A),Q(x,B)).
<P><em>Note:
From Algorithms and Theory of Computation Handbook, page 20-26, Copyright &copy; 1999 by CRC Press LLC.</em>
<P>Author: <a href="terms.html#authorCRC-A" tppabs="http://hissa.nist.gov/dads/terms.html#authorCRC-A">CRC-A</a>

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Entry modified Wed Dec 29 12:11:17 1999.<BR>
HTML page formatted Wed Dec 29 12:16:32 1999.

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