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 '''parametric set''' <math>\Alpha\!</math> is a [[family (mathematics)|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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In [[logic]] and [[mathematics]], a '''parametric operator''' <math>\Omega\!</math> with '''parameter''' <math>\alpha\!</math> in the '''parametric set''' <math>\Alpha\!</math> is an [[family (mathematics)|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>.
  
 
==See also==
 
==See also==

Revision as of 02:30, 13 February 2008

In logic and mathematics, a parametric operator \(\Omega\!\) with parameter \(\alpha\!\) in the parametric set \(\Alpha\!\) is an indexed family of operators \((\Omega_{\alpha})_{\Alpha} = \{\Omega_{\alpha} : \alpha \in \Alpha\}\) with index \(\alpha\!\) in the index set \(\Alpha\!\).

See also

Aficionados



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