Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Equivalence_class> ?p ?o }
- Equivalence_class abstract "In mathematics, when a set has an equivalence relation defined on its elements, there is a natural grouping of elements that are related to one another, forming what are called equivalence classes. Notationally, given a set X and an equivalence relation ~ on X, the equivalence class of an element a in X is the subset of all elements in X which are equivalent to a. It follows from the definition of the equivalence relations that the equivalence classes form a partition of X. The set of equivalence classes is sometimes called the quotient set or the quotient space of X by ~ and is denoted by X / ~.When X has some structure, and the equivalence relation is defined with some connection to this structure, the quotient set often inherits some related structure. Examples include quotient spaces in linear algebra, quotient spaces in topology, quotient groups, homogeneous spaces, quotient rings, quotient monoids, and quotient categories.".
- Equivalence_class thumbnail Congruent_non-congruent_triangles.svg?width=300.
- Equivalence_class wikiPageID "9260".
- Equivalence_class wikiPageLength "15623".
- Equivalence_class wikiPageOutDegree "70".
- Equivalence_class wikiPageRevisionID "681657865".
- Equivalence_class wikiPageWikiLink Abstract_algebra.
- Equivalence_class wikiPageWikiLink Binary_relation.
- Equivalence_class wikiPageWikiLink Canonical_form.
- Equivalence_class wikiPageWikiLink Cardinality.
- Equivalence_class wikiPageWikiLink Category:Mathematical_relations.
- Equivalence_class wikiPageWikiLink Congruence_relation.
- Equivalence_class wikiPageWikiLink Connected_component_(graph_theory).
- Equivalence_class wikiPageWikiLink Coset.
- Equivalence_class wikiPageWikiLink Directed_graph.
- Equivalence_class wikiPageWikiLink Disjoint_sets.
- Equivalence_class wikiPageWikiLink Equivalence_partitioning.
- Equivalence_class wikiPageWikiLink Equivalence_relation.
- Equivalence_class wikiPageWikiLink Euclidean_division.
- Equivalence_class wikiPageWikiLink Euclidean_plane.
- Equivalence_class wikiPageWikiLink Even_number.
- Equivalence_class wikiPageWikiLink Field_of_fractions.
- Equivalence_class wikiPageWikiLink Function_(mathematics).
- Equivalence_class wikiPageWikiLink Glossary_of_graph_theory.
- Equivalence_class wikiPageWikiLink Graph_(mathematics).
- Equivalence_class wikiPageWikiLink Group_action.
- Equivalence_class wikiPageWikiLink Homogeneous_space.
- Equivalence_class wikiPageWikiLink Image_(mathematics).
- Equivalence_class wikiPageWikiLink Injective_function.
- Equivalence_class wikiPageWikiLink Injective_map.
- Equivalence_class wikiPageWikiLink Integer.
- Equivalence_class wikiPageWikiLink Integral_domain.
- Equivalence_class wikiPageWikiLink Invariant_(mathematics).
- Equivalence_class wikiPageWikiLink Inverse_image.
- Equivalence_class wikiPageWikiLink Kernel_(set_theory).
- Equivalence_class wikiPageWikiLink Kernel_of_a_function.
- Equivalence_class wikiPageWikiLink Lie_group.
- Equivalence_class wikiPageWikiLink Linear_algebra.
- Equivalence_class wikiPageWikiLink Linear_map.
- Equivalence_class wikiPageWikiLink Modular_arithmetic.
- Equivalence_class wikiPageWikiLink Morphism.
- Equivalence_class wikiPageWikiLink Parallel_(geometry).
- Equivalence_class wikiPageWikiLink Parallel_lines.
- Equivalence_class wikiPageWikiLink Parity_(mathematics).
- Equivalence_class wikiPageWikiLink Partition_of_a_set.
- Equivalence_class wikiPageWikiLink Point_at_infinity.
- Equivalence_class wikiPageWikiLink Quotient_algebra.
- Equivalence_class wikiPageWikiLink Quotient_category.
- Equivalence_class wikiPageWikiLink Quotient_group.
- Equivalence_class wikiPageWikiLink Quotient_module.
- Equivalence_class wikiPageWikiLink Quotient_monoid.
- Equivalence_class wikiPageWikiLink Quotient_ring.
- Equivalence_class wikiPageWikiLink Quotient_space_(linear_algebra).
- Equivalence_class wikiPageWikiLink Quotient_space_(topology).
- Equivalence_class wikiPageWikiLink Rational_number.
- Equivalence_class wikiPageWikiLink Reflexive_relation.
- Equivalence_class wikiPageWikiLink Remainder.
- Equivalence_class wikiPageWikiLink Section_(category_theory).
- Equivalence_class wikiPageWikiLink Semigroup.
- Equivalence_class wikiPageWikiLink Set_(mathematics).
- Equivalence_class wikiPageWikiLink Software_testing.
- Equivalence_class wikiPageWikiLink Subset.
- Equivalence_class wikiPageWikiLink Surjective_function.
- Equivalence_class wikiPageWikiLink Surjective_map.
- Equivalence_class wikiPageWikiLink Symmetric_relation.
- Equivalence_class wikiPageWikiLink Topological_space.
- Equivalence_class wikiPageWikiLink Topology.
- Equivalence_class wikiPageWikiLink Transitive_relation.
- Equivalence_class wikiPageWikiLink Transversal_(combinatorics).
- Equivalence_class wikiPageWikiLink Two-dimensional_space.
- Equivalence_class wikiPageWikiLink Well-defined.
- Equivalence_class wikiPageWikiLink File:Congruent_non-congruent_triangles.svg.
- Equivalence_class wikiPageWikiLinkText "''equivalent''".
- Equivalence_class wikiPageWikiLinkText "Equivalence class".
- Equivalence_class wikiPageWikiLinkText "classes".
- Equivalence_class wikiPageWikiLinkText "congruence class".
- Equivalence_class wikiPageWikiLinkText "equivalence class".
- Equivalence_class wikiPageWikiLinkText "equivalence".
- Equivalence_class wikiPageWikiLinkText "equivalent".
- Equivalence_class wikiPageWikiLinkText "quotient set".
- Equivalence_class hasPhotoCollection Equivalence_class.
- Equivalence_class wikiPageUsesTemplate Template:About.
- Equivalence_class wikiPageUsesTemplate Template:Citation.
- Equivalence_class wikiPageUsesTemplate Template:Math.
- Equivalence_class wikiPageUsesTemplate Template:Mvar.
- Equivalence_class wikiPageUsesTemplate Template:Reflist.
- Equivalence_class subject Category:Mathematical_relations.
- Equivalence_class hypernym Classes.
- Equivalence_class type Article.
- Equivalence_class type MeanOfTransportation.
- Equivalence_class type Article.
- Equivalence_class type Concept.
- Equivalence_class type Relation.
- Equivalence_class comment "In mathematics, when a set has an equivalence relation defined on its elements, there is a natural grouping of elements that are related to one another, forming what are called equivalence classes. Notationally, given a set X and an equivalence relation ~ on X, the equivalence class of an element a in X is the subset of all elements in X which are equivalent to a. It follows from the definition of the equivalence relations that the equivalence classes form a partition of X.".
- Equivalence_class label "Equivalence class".
- Equivalence_class sameAs Classe_dequivalxc3xa8ncia.
- Equivalence_class sameAs Ækvivalensklasse.
- Equivalence_class sameAs Ekvivalentklaso.
- Equivalence_class sameAs Ekvivalenssiluokka.
- Equivalence_class sameAs 동치류.