Difference between revisions of "Parametric operator"
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| + | <font size="3">☞</font> This page belongs to resource collections on [[Logic Live|Logic]] and [[Inquiry Live|Inquiry]]. | ||
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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>. | ||
Revision as of 18:50, 10 May 2010
☞ This page belongs to resource collections on Logic and Inquiry.
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 \(\Alpha\!\).
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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.
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
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