Multigrade operator

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In logic and mathematics, a multigrade operator $$\Omega$$ is a parametric operator with parameter k in the set N of non-negative integers.

The application of a multigrade operator $$\Omega$$ to a finite sequence of operands (x1, …, xk) is typically denoted with the parameter k left tacit, as the appropriate application is implicit in the number of operands listed. Thus $$\Omega$$(x1, …, xk) may be taken for $$\Omega$$k(x1, …, xk).

Focal nodes

 * Inquiry Live


 * Logic Live

Peer nodes

 * Multigrade Operator @ MyWikiBiz
 * Multigrade Operator @ MathWeb Wiki
 * Multigrade Operator @ NetKnowledge
 * Multigrade Operator @ OER Commons


 * Multigrade Operator @ P2P Foundation
 * Multigrade Operator @ SemanticWeb
 * Multigrade Operator @ Subject Wikis
 * Multigrade Operator @ Wikiversity Beta

Logical operators

 * Exclusive disjunction
 * Logical conjunction
 * Logical disjunction
 * Logical equality


 * Logical implication
 * Logical NAND
 * Logical NNOR
 * Negation

Related topics

 * Ampheck
 * Boolean domain
 * Boolean function
 * Boolean-valued function
 * Differential logic


 * Logical graph
 * Minimal negation operator
 * Multigrade operator
 * Parametric operator
 * Peirce's law


 * Propositional calculus
 * Sole sufficient operator
 * Truth table
 * Universe of discourse
 * Zeroth order logic

Relational concepts

 * Continuous predicate
 * Hypostatic abstraction
 * Logic of relatives
 * Logical matrix


 * Relation
 * Relation composition
 * Relation construction
 * Relation reduction


 * Relation theory
 * Relative term
 * Sign relation
 * Triadic relation

Information, Inquiry

 * Inquiry
 * Dynamics of inquiry


 * Semeiotic
 * Logic of information


 * Descriptive science
 * Normative science


 * Pragmatic maxim
 * Truth theory

Related articles

 * Jon Awbrey, &ldquo;Semiotic Information&rdquo;


 * Jon Awbrey, &ldquo;Introduction To Inquiry Driven Systems&rdquo;


 * Jon Awbrey, &ldquo;Prospects For Inquiry Driven Systems&rdquo;


 * Jon Awbrey, &ldquo;Inquiry Driven Systems : Inquiry Into Inquiry&rdquo;


 * Jon Awbrey, &ldquo;Propositional Equation Reasoning Systems&rdquo;


 * Jon Awbrey, &ldquo;Differential Logic : Introduction&rdquo;


 * Jon Awbrey, &ldquo;Differential Propositional Calculus&rdquo;


 * Jon Awbrey, &ldquo;Differential Logic and Dynamic Systems&rdquo;

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.


 * Multigrade Operator, MyWikiBiz
 * Multigrade Operator, MathWeb Wiki
 * Multigrade Operator, PlanetMath
 * Multigrade Operator, PlanetPhysics
 * Multigrade Operator, ProofWiki


 * Multigrade Operator, Wikiversity Beta
 * Multigrade Operator, GetWiki
 * Multigrade Operator, Wikinfo
 * Multigrade Operator, Textop Wiki
 * Multigrade Operator, Wikipedia