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Support (mathematics)

In mathematics, the support of a real-valued function f {\displaystyle f} is the subset of the function's domain consisting of those elements that are not mapped to zero. If the domain of f {\displaystyle f} is a topological space, then the support of f {\displaystyle f} is instead defined as the smallest closed set containing all points not mapped to…

Compact support, Family of supports & Generalization

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Overview

Formulation

Closed support

Compact support

Essential support

Generalization

In probability and measure theory

Support of a distribution

Singular support

Family of supports

Advanced semantic analysis

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Map overview Semantic statistics

Support (mathematics)

Nodes87
Edges86
Triples2
Avg. degree1.98
Density0.022989
Components1

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Important terminology Word statistics

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Important terminology

displaystyle support function mathbb space set functions closed compact subset distribution defined supp operatorname topological also distributions continuous example since

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
group ringsinstance ofis the countable set of all integer sequences that have only finitely many nonzero entries.Functions of finite support are used in defining algebraic structures0.80text
free abelian groupsinstance ofis the countable set of all integer sequences that have only finitely many nonzero entries.Functions of finite support are used in defining algebraic structures0.80text

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