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Equivalence class

In mathematics, when the elements of some set S {\displaystyle S} have a notion of equivalence (formalized as an equivalence relation), then one may naturally split the set S {\displaystyle S} into equivalence classes. These equivalence classes are constructed so that elements a {\displaystyle a} and b {\displaystyle b} belong to the same equivalence…

Definition and notation, Examples & Quotient space in topology

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Quotient space in topology

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Equivalence class

Nodes73
Edges72
Triples22
Avg. degree1.97
Density0.027397
Components1

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Equivalence class

Top relations

related to Examples · 8
Equivalence class → Although, Congruence, Consider, For, Let, This, Under, Using
related to Properties · 5
Equivalence class → Conversely, Every, For, Therefore, Thus
see also · 5
Equivalence class → Equivalence, Generalization, Lie, Mathematical, Set
related to Quotient space in topology · 3
Equivalence class → By, However, In
is a · 1
Equivalence class → set consisting of a single element.If X

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Important terminology

displaystyle equivalence set relation class sim classes quotient element elements called every one space equivalent topology example may group canonical

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Equivalence classis aset consisting of a single element.If X0.90text
Equivalence classrelated to ExamplesLet0.60section
Equivalence classrelated to ExamplesFor0.60section
Equivalence classrelated to ExamplesAlthough0.60section
Equivalence classrelated to ExamplesConsider0.60section
Equivalence classrelated to ExamplesThis0.60section
Equivalence classrelated to ExamplesUsing0.60section
Equivalence classrelated to ExamplesCongruence0.60section
Equivalence classrelated to ExamplesUnder0.60section
Equivalence classrelated to PropertiesFor0.60section
Equivalence classrelated to PropertiesEvery0.60section
Equivalence classrelated to PropertiesTherefore0.60section

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