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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==Related topic==
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==Syllabus==
  
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===Focal nodes===
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* [[Inquiry Live]]
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* [[Logic Live]]
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===Peer nodes===
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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]
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* [http://ref.subwiki.org/wiki/Parametric_operator Parametric Operator @ Subject Wikis]
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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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===Logical operators===
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* [[Exclusive disjunction]]
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* [[Logical conjunction]]
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* [[Logical disjunction]]
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* [[Logical equality]]
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* [[Logical implication]]
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* [[Logical NAND]]
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* [[Logical NNOR]]
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* [[Logical negation|Negation]]
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===Related topics===
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* [[Ampheck]]
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* [[Boolean domain]]
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* [[Boolean function]]
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* [[Boolean-valued function]]
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* [[Differential logic]]
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* [[Logical graph]]
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* [[Minimal negation operator]]
 
* [[Multigrade operator]]
 
* [[Multigrade operator]]
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* [[Parametric operator]]
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* [[Peirce's law]]
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* [[Propositional calculus]]
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* [[Sole sufficient operator]]
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* [[Truth table]]
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* [[Universe of discourse]]
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* [[Zeroth order logic]]
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===Relational concepts===
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* [[Continuous predicate]]
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* [[Hypostatic abstraction]]
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* [[Logic of relatives]]
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* [[Logical matrix]]
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* [[Relation (mathematics)|Relation]]
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* [[Relation composition]]
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* [[Relation construction]]
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* [[Relation reduction]]
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* [[Relation theory]]
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* [[Relative term]]
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* [[Sign relation]]
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* [[Triadic relation]]
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===Information, Inquiry===
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{{col-break}}
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* [[Inquiry]]
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* [[Dynamics of inquiry]]
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* [[Semeiotic]]
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* [[Logic of information]]
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* [[Descriptive science]]
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* [[Normative science]]
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* [[Pragmatic maxim]]
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* [[Truth theory]]
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===Related articles===
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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://intersci.ss.uci.edu/wiki/index.php/Propositional_Equation_Reasoning_Systems Propositional Equation Reasoning Systems]
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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://intersci.ss.uci.edu/wiki/index.php/Differential_Logic_and_Dynamic_Systems_2.0 Differential Logic and Dynamic Systems]
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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://intersci.ss.uci.edu/wiki/index.php/Inquiry_Driven_Systems Inquiry Driven Systems : Inquiry Into Inquiry]
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==Document history==
 
==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.
 
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://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 \(\Alpha.\!\)

Syllabus

Focal nodes

Peer nodes

Logical operators

Template:Col-breakTemplate:Col-breakTemplate:Col-end

Related topics

Template:Col-breakTemplate:Col-breakTemplate:Col-breakTemplate:Col-end

Relational concepts

Template:Col-breakTemplate:Col-breakTemplate:Col-breakTemplate:Col-end

Information, Inquiry

Template:Col-breakTemplate:Col-breakTemplate:Col-breakTemplate:Col-breakTemplate:Col-end

Related articles

Template:Col-breakTemplate:Col-breakTemplate:Col-breakTemplate:Col-end

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.

Retrieved from "https://mywikibiz.com/index.php?title=Parametric_operator&oldid=466841"