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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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==See also==
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==Related topic==
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* [[Operation (mathematics)|Operation]]
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* [[Operator]]
   
* [[Parametric operator]]
 
* [[Parametric operator]]
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{{aficionados}}<sharethis />
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==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.
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* [http://mywikibiz.com/Multigrade_operator Multigrade Operator], [http://mywikibiz.com/ MyWikiBiz]
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* [http://beta.wikiversity.org/wiki/Multigrade_operator Multigrade Operator], [http://beta.wikiversity.org/ Beta Wikiversity]
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* [http://planetmath.org/encyclopedia/MultigradeOperator.html Multigrade Operator], [http://planetmath.org/ PlanetMath]
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* [http://www.proofwiki.org/wiki/Definition:Multigrade_Operator Multigrade Operator], [http://www.proofwiki.org/ ProofWiki]
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* [http://www.getwiki.net/-Parametric_Operator&r=multigrade_operator Multigrade Operator], [http://www.getwiki.net/ GetWiki]
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* [http://www.textop.org/wiki/index.php?title=Multigrade_operator Multigrade Operator], [http://www.textop.org/wiki/ Textop Wiki]
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* [http://www.wikinfo.org/index.php/Multigrade_operator Multigrade Operator], [http://www.wikinfo.org/ Wikinfo]
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* [http://en.wikipedia.org/w/index.php?title=Multigrade_operator&oldid=40451309 Multigrade Operator], [http://en.wikipedia.org/ Wikipedia]
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<br><sharethis />
    
[[Category:Automata Theory]]
 
[[Category:Automata Theory]]
 
[[Category:Combinatorics]]
 
[[Category:Combinatorics]]
 
[[Category:Computer Science]]
 
[[Category:Computer Science]]
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[[Category:Differential Logic]]
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[[Category:Equational Reasoning]]
 
[[Category:Formal Languages]]
 
[[Category:Formal Languages]]
 
[[Category:Formal Sciences]]
 
[[Category:Formal Sciences]]
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