Difference between revisions of "Boolean function"

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* [http://p2pfoundation.net/Boolean_Function Boolean Function @ P2P Foundation]
 
* [http://p2pfoundation.net/Boolean_Function Boolean Function @ P2P Foundation]
 
* [http://semanticweb.org/wiki/Boolean_function Boolean Function @ SemanticWeb]
 
* [http://semanticweb.org/wiki/Boolean_function Boolean Function @ SemanticWeb]
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* [http://ref.subwiki.org/wiki/Boolean_function Boolean Function @ Subject Wikis]
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* [http://beta.wikiversity.org/wiki/Boolean_function Boolean Function @ Wikiversity Beta]
 
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Revision as of 00:00, 21 June 2010

This page belongs to resource collections on Logic and Inquiry.

A finitary boolean function is a function of the form \(f : \mathbb{B}^k \to \mathbb{B},\) where \(\mathbb{B} = \{ 0, 1 \}\) is a boolean domain and where \(k\!\) is a nonnegative integer. In the case where \(k = 0,\!\) the function is simply a constant element of \(\mathbb{B}.\)

There are \(2^{2^k}\) such functions. These play a basic role in questions of complexity theory as well as the design of circuits and chips for digital computers.

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Portions of the above article were adapted from the following sources under the GNU Free Documentation License, under other applicable licenses, or by permission of the copyright holders.

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