Multigrade operator

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A multigrade operator $$\Omega\!$$ is a parametric operator with parameter $$k\!$$ in the set $$\mathbb{N}\!$$ of non-negative integers.

The application of a multigrade operator $$\Omega\!$$ to a finite sequence of operands $$(x_1, \ldots, x_k)\!$$ is typically denoted with the parameter $$k\!$$ left tacit, as the appropriate application is implicit in the number of operands listed. Thus $$\Omega (x_1, \ldots, x_k)\!$$ may be taken for $$\Omega_k (x_1, \ldots, x_k).\!$$

Focal nodes

 * Inquiry Live
 * Logic Live

Peer nodes

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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

 * Cactus Language
 * Futures Of Logical Graphs
 * Propositional Equation Reasoning Systems


 * Differential Logic : Introduction
 * Differential Propositional Calculus
 * Differential Logic and Dynamic Systems


 * Prospects for Inquiry Driven Systems
 * Introduction to Inquiry Driven Systems
 * Inquiry Driven Systems : Inquiry Into Inquiry

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, InterSciWiki
 * Multigrade Operator, MyWikiBiz
 * Multigrade Operator, PlanetMath
 * Multigrade Operator, Wikinfo
 * Multigrade Operator, Wikiversity
 * Multigrade Operator, Wikiversity Beta
 * Multigrade Operator, Wikipedia