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Homogeneous relation

In mathematics, a homogeneous relation (also called endorelation) on a set X is a binary relation between X and itself, i.e. it is a subset of the Cartesian product X × X. This is commonly phrased as "a relation on X" or "a (binary) relation over X". An example of a homogeneous relation is the relation of kinship, where the relation is between people.

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Overview

Particular homogeneous relations

Properties

Operations

Enumeration

Examples

Generalizations

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Map overview Semantic statistics

Homogeneous relation

Nodes95
Edges94
Triples17
Avg. degree1.98
Density0.021053
Components1

How this topic connects Entity context

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Homogeneous relation

Top relations

related to Enumeration · 5
Homogeneous relation → A002416, Boolean, Considering, OEIS, The
related to Example · 4
Homogeneous relation → Earth's, Sixteen, The, This
related to Operations · 4
Homogeneous relation → All, Binary, If, Operations
related to Properties · 2
Homogeneous relation → Some, The
is a · 1
Homogeneous relation → relation of kinship
related to Particular homogeneous relations · 1
Homogeneous relation → Some

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Important terminology

relation also homogeneous transitive relations called reflexive total symmetric partial order binary graph orders number set example irreflexive antisymmetric endorelation

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Homogeneous relationis arelation of kinship0.90text
Homogeneous relationrelated to EnumerationThe0.60section
Homogeneous relationrelated to EnumerationBoolean0.60section
Homogeneous relationrelated to EnumerationConsidering0.60section
Homogeneous relationrelated to EnumerationA0024160.60section
Homogeneous relationrelated to EnumerationOEIS0.60section
Homogeneous relationrelated to ExampleSixteen0.60section
Homogeneous relationrelated to ExampleEarth's0.60section
Homogeneous relationrelated to ExampleThe0.60section
Homogeneous relationrelated to ExampleThis0.60section
Homogeneous relationrelated to OperationsIf0.60section
Homogeneous relationrelated to OperationsAll0.60section

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    Min side: 3
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