Difference between revisions of "Parametric operator"

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<font size="3">&#9758;</font> This page belongs to resource collections on [[Logic Live|Logic]] and [[Inquiry Live|Inquiry]].
 
<font size="3">&#9758;</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>.
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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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* [[Inquiry Live]]
 
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* [[Logic Live]]
 
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* [http://intersci.ss.uci.edu/wiki/index.php/Parametric_operator Parametric Operator @ InterSciWiki]
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* [http://mywikibiz.com/Parametric_operator Parametric Operator @ MyWikiBiz]
 
* [http://mywikibiz.com/Parametric_operator Parametric Operator @ MyWikiBiz]
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* [http://mathweb.org/wiki/Parametric_operator Parametric Operator @ MathWeb Wiki]
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* [http://ref.subwiki.org/wiki/Parametric_operator Parametric Operator @ Subject Wikis]
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* [http://netknowledge.org/wiki/Parametric_operator Parametric Operator @ NetKnowledge]
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* [http://en.wikiversity.org/wiki/Parametric_operator Parametric Operator @ Wikiversity]
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* [http://beta.wikiversity.org/wiki/Parametric_operator Parametric Operator @ Wikiversity Beta]
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* [http://wiki.oercommons.org/mediawiki/index.php/Parametric_operator Parametric Operator @ OER Commons]
 
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* [http://p2pfoundation.net/Parametric_Operator Parametric Operator @ P2P Foundation]
 
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* [http://semanticweb.org/wiki/Parametric_operator Parametric Operator @ SemanticWeb]
 
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===Logical operators===
 
===Logical operators===
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===Related articles===
 
===Related articles===
  
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* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Semiotic_Information Jon Awbrey, &ldquo;Semiotic Information&rdquo;]
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* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Introduction_to_Inquiry_Driven_Systems Jon Awbrey, &ldquo;Introduction To Inquiry Driven Systems&rdquo;]
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* [http://intersci.ss.uci.edu/wiki/index.php/Cactus_Language Cactus Language]
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* [http://intersci.ss.uci.edu/wiki/index.php/Futures_Of_Logical_Graphs Futures Of Logical Graphs]
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* [http://mywikibiz.com/Directory:Jon_Awbrey/Essays/Prospects_For_Inquiry_Driven_Systems Jon Awbrey, &ldquo;Prospects For Inquiry Driven Systems&rdquo;]
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* [http://intersci.ss.uci.edu/wiki/index.php/Propositional_Equation_Reasoning_Systems Propositional Equation Reasoning Systems]
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* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Inquiry_Driven_Systems Jon Awbrey, &ldquo;Inquiry Driven Systems : Inquiry Into Inquiry&rdquo;]
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* [http://intersci.ss.uci.edu/wiki/index.php/Differential_Logic_:_Introduction Differential Logic : Introduction]
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* [http://intersci.ss.uci.edu/wiki/index.php/Differential_Propositional_Calculus Differential Propositional Calculus]
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* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Propositional_Equation_Reasoning_Systems Jon Awbrey, &ldquo;Propositional Equation Reasoning Systems&rdquo;]
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* [http://intersci.ss.uci.edu/wiki/index.php/Differential_Logic_and_Dynamic_Systems_2.0 Differential Logic and Dynamic Systems]
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* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Differential_Logic_:_Introduction Jon Awbrey, &ldquo;Differential Logic : Introduction&rdquo;]
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* [http://intersci.ss.uci.edu/wiki/index.php/Prospects_for_Inquiry_Driven_Systems Prospects for Inquiry Driven Systems]
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* [http://intersci.ss.uci.edu/wiki/index.php/Introduction_to_Inquiry_Driven_Systems Introduction to Inquiry Driven Systems]
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* [http://planetmath.org/encyclopedia/DifferentialPropositionalCalculus.html Jon Awbrey, &ldquo;Differential Propositional Calculus&rdquo;]
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* [http://intersci.ss.uci.edu/wiki/index.php/Inquiry_Driven_Systems Inquiry Driven Systems : Inquiry Into Inquiry]
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* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Differential_Logic_and_Dynamic_Systems_2.0 Jon Awbrey, &ldquo;Differential Logic and Dynamic Systems&rdquo;]
 
  
 
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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.
 
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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* [http://intersci.ss.uci.edu/wiki/index.php/Parametric_operator Parametric Operator], [http://intersci.ss.uci.edu/ InterSciWiki]
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* [http://mywikibiz.com/Parametric_operator Parametric Operator], [http://mywikibiz.com/ MyWikiBiz]
 
* [http://mywikibiz.com/Parametric_operator Parametric Operator], [http://mywikibiz.com/ MyWikiBiz]
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* [http://mathweb.org/wiki/Parametric_operator Parametric Operator], [http://mathweb.org/wiki/ MathWeb Wiki]
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* [http://planetmath.org/ParametricOperator Parametric Operator], [http://planetmath.org/ PlanetMath]
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* [http://planetmath.org/encyclopedia/ParametricOperator.html Parametric Operator], [http://planetmath.org/ PlanetMath]
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* [http://wikinfo.org/w/index.php/Parametric_operator Parametric Operator], [http://wikinfo.org/w/ Wikinfo]
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* [http://planetphysics.org/encyclopedia/ParametricOperator.html Parametric Operator], [http://planetphysics.org/ PlanetPhysics]
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* [http://en.wikiversity.org/wiki/Parametric_operator Parametric Operator], [http://en.wikiversity.org/ Wikiversity]
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* [http://proofwiki.org/wiki/Definition:Parametric_Operator Parametric Operator], [http://proofwiki.org/ ProofWiki]
 
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* [http://beta.wikiversity.org/wiki/Parametric_operator Parametric Operator], [http://beta.wikiversity.org/ Wikiversity Beta]
 
* [http://beta.wikiversity.org/wiki/Parametric_operator Parametric Operator], [http://beta.wikiversity.org/ Wikiversity Beta]
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* [http://getwiki.net/-Parametric_Operator Parametric Operator], [http://getwiki.net/ GetWiki]
 
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* [http://wikinfo.org/index.php/Parametric_operator Parametric Operator], [http://wikinfo.org/ Wikinfo]
 
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* [http://textop.org/wiki/index.php?title=Parametric_operator Parametric Operator], [http://textop.org/wiki/ Textop Wiki]
 
 
* [http://en.wikipedia.org/w/index.php?title=Parametric_operator&oldid=40451935 Parametric Operator], [http://en.wikipedia.org/ Wikipedia]
 
* [http://en.wikipedia.org/w/index.php?title=Parametric_operator&oldid=40451935 Parametric Operator], [http://en.wikipedia.org/ Wikipedia]
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[[Category:Inquiry]]
 
[[Category:Inquiry]]

Latest revision as of 04:16, 7 November 2015

☞ This page belongs to resource collections on Logic and Inquiry.

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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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.

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