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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==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://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://netknowledge.org/wiki/Parametric_operator Parametric Operator @ NetKnowledge]
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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===
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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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* [[Inquiry]]
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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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* [[Pragmatic theory of truth]]
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* [[Semeiotic]]
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* [[Semiotic information]]
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===Related articles===
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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://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://mywikibiz.com/Directory:Jon_Awbrey/Papers/Inquiry_Driven_Systems Jon Awbrey, &ldquo;Inquiry Driven Systems : Inquiry Into Inquiry&rdquo;]
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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://mywikibiz.com/Directory:Jon_Awbrey/Papers/Differential_Logic_:_Introduction Jon Awbrey, &ldquo;Differential Logic : Introduction&rdquo;]
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* [http://planetmath.org/encyclopedia/DifferentialPropositionalCalculus.html Jon Awbrey, &ldquo;Differential Propositional Calculus&rdquo;]
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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;]
  
 
==Document history==
 
==Document history==

Revision as of 04:08, 11 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 \(\Alpha\!\).

Syllabus

Focal nodes

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Peer nodes

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Logical operators

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Related topics

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Relational concepts

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Information, Inquiry

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Related articles

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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