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, …, x_k) is typically denoted with the parameter k left tacit, as the appropriate application is implicit in the number of operands listed. Thus \(\Omega\)(x₁, …, x_k) may be taken for \(\Omega\)_k(x₁, …, x_k).

Syllabus

Focal nodes

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• Inquiry Live

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• Logic Live

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Peer nodes

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

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

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Logical operators

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• Exclusive disjunction
• Logical conjunction
• Logical disjunction
• Logical equality

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• Logical implication
• Logical NAND
• Logical NNOR
• Negation

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Related topics

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

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

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

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Relational concepts

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

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• Relation
• Relation composition
• Relation construction
• Relation reduction

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• Relation theory
• Relative term
• Sign relation
• Triadic relation

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Information, Inquiry

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• Inquiry
• Dynamics of inquiry

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• Semeiotic
• Logic of information

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• Descriptive science
• Normative science

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• Pragmatic maxim
• Truth theory

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Related articles

• Jon Awbrey, “Semiotic Information”

• Jon Awbrey, “Introduction To Inquiry Driven Systems”

• Jon Awbrey, “Prospects For Inquiry Driven Systems”

• Jon Awbrey, “Inquiry Driven Systems : Inquiry Into Inquiry”

• Jon Awbrey, “Propositional Equation Reasoning Systems”

• Jon Awbrey, “Differential Logic : Introduction”

• Jon Awbrey, “Differential Propositional Calculus”

• Jon Awbrey, “Differential Logic and Dynamic Systems”

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

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

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