Difference between revisions of "Parametric operator"
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In [[logic]] and [[mathematics]], a '''parametric operator''' <math>\Omega\!</math> with '''parameter''' <math>\alpha\!</math> in the '''parameter set''' <math>\Alpha\!</math> is an [[indexed family]] of operators <math>(\Omega_{\alpha})_{\Alpha} = \{\Omega_{\alpha} : \alpha \in \Alpha\}</math> with index <math>\alpha\!</math> in the index set <math>\Alpha\!</math>. | In [[logic]] and [[mathematics]], a '''parametric operator''' <math>\Omega\!</math> with '''parameter''' <math>\alpha\!</math> in the '''parameter set''' <math>\Alpha\!</math> is an [[indexed family]] of operators <math>(\Omega_{\alpha})_{\Alpha} = \{\Omega_{\alpha} : \alpha \in \Alpha\}</math> with index <math>\alpha\!</math> in the index set <math>\Alpha\!</math>. | ||
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* [[Multigrade operator]] | * [[Multigrade operator]] | ||
| − | {{ | + | ==Document history== |
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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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| + | {{col-begin}} | ||
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| + | * [http://mywikibiz.com/Parametric_operator Parametric Operator], [http://mywikibiz.com/ MyWikiBiz] | ||
| + | * [http://beta.wikiversity.org/wiki/Parametric_operator Parametric Operator], [http://beta.wikiversity.org/ Beta Wikiversity] | ||
| + | * [http://planetmath.org/encyclopedia/ParametricOperator.html Parametric Operator], [http://planetmath.org/ PlanetMath] | ||
| + | * [http://www.proofwiki.org/wiki/Definition:Parametric_Operator Parametric Operator], [http://www.proofwiki.org/ ProofWiki] | ||
| + | {{col-break}} | ||
| + | * [http://www.getwiki.net/-Parametric_Operator Parametric Operator], [http://www.getwiki.net/ GetWiki] | ||
| + | * [http://www.wikinfo.org/index.php/Parametric_operator Parametric Operator], [http://www.wikinfo.org/ Wikinfo] | ||
| + | * [http://www.textop.org/wiki/index.php?title=Parametric_operator Parametric Operator], [http://www.textop.org/wiki/ Textop Wiki] | ||
| + | * [http://en.wikipedia.org/w/index.php?title=Parametric_operator&oldid=40451935 Parametric Operator], [http://en.wikipedia.org/ Wikipedia] | ||
| + | {{col-end}} | ||
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| + | <br><sharethis /> | ||
[[Category:Automata Theory]] | [[Category:Automata Theory]] | ||
[[Category:Combinatorics]] | [[Category:Combinatorics]] | ||
[[Category:Computer Science]] | [[Category:Computer Science]] | ||
| + | [[Category:Differential Logic]] | ||
| + | [[Category:Equational Reasoning]] | ||
[[Category:Formal Languages]] | [[Category:Formal Languages]] | ||
[[Category:Formal Sciences]] | [[Category:Formal Sciences]] | ||
Revision as of 17:30, 21 April 2010
In logic and mathematics, a parametric operator \(\Omega\!\) with parameter \(\alpha\!\) in the parameter set \(\Alpha\!\) is an indexed family of operators \((\Omega_{\alpha})_{\Alpha} = \{\Omega_{\alpha} : \alpha \in \Alpha\}\) with index \(\alpha\!\) in the index set \(\Alpha\!\).
Related topic
Document history
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.
Template:Col-break- Parametric Operator, MyWikiBiz
- Parametric Operator, Beta Wikiversity
- Parametric Operator, PlanetMath
- Parametric Operator, ProofWiki
- Parametric Operator, GetWiki
- Parametric Operator, Wikinfo
- Parametric Operator, Textop Wiki
- Parametric Operator, Wikipedia
<sharethis />
