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Multigrade operator (view source)

Revision as of 00:41, 11 May 2010

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The application of a multigrade operator <math>\Omega</math> to a finite sequence of operands (''x''<sub>1</sub>,&nbsp;…,&nbsp;''x''<sub>''k''</sub>) is typically denoted with the parameter ''k'' left tacit, as the appropriate application is implicit in the number of operands listed.  Thus <math>\Omega</math>(''x''<sub>1</sub>,&nbsp;…,&nbsp;''x''<sub>''k''</sub>) may be taken for <math>\Omega</math><sub>''k''</sub>(''x''<sub>1</sub>,&nbsp;…,&nbsp;''x''<sub>''k''</sub>).
 
The application of a multigrade operator <math>\Omega</math> to a finite sequence of operands (''x''<sub>1</sub>,&nbsp;…,&nbsp;''x''<sub>''k''</sub>) is typically denoted with the parameter ''k'' left tacit, as the appropriate application is implicit in the number of operands listed.  Thus <math>\Omega</math>(''x''<sub>1</sub>,&nbsp;…,&nbsp;''x''<sub>''k''</sub>) may be taken for <math>\Omega</math><sub>''k''</sub>(''x''<sub>1</sub>,&nbsp;…,&nbsp;''x''<sub>''k''</sub>).
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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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{{col-end}}
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===Peer nodes===
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{{col-break}}
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* [http://mywikibiz.com/Multigrade_operator Multigrade Operator @ MyWikiBiz]
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* [http://mathweb.org/wiki/Multigrade_operator Multigrade Operator @ MathWeb Wiki]
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* [http://netknowledge.org/wiki/Multigrade_operator Multigrade Operator @ NetKnowledge]
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{{col-break}}
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* [http://wiki.oercommons.org/mediawiki/index.php/Multigrade_operator Multigrade Operator @ OER Commons]
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* [http://p2pfoundation.net/Multigrade_Operator Multigrade Operator @ P2P Foundation]
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* [http://semanticweb.org/wiki/Multigrade_operator Multigrade Operator @ SemanticWeb]
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{{col-end}}
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===Logical operators===
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{{col-break}}
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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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{{col-begin}}
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{{col-break}}
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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]]
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* [[Multigrade operator]]
 
* [[Parametric operator]]
 
* [[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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{{col-end}}
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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==
Jon Awbrey
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