Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Uniform_continuity> ?p ?o }
- Uniform_continuity abstract "In mathematics, a function f is uniformly continuous if, roughly speaking, it is possible to guarantee that f(x) and f(y) be as close to each other as we please by requiring only that x and y are sufficiently close to each other; unlike ordinary continuity, the maximum distance between f(x) and f(y) cannot depend on x and y themselves. For instance, any isometry (distance-preserving map) between metric spaces is uniformly continuous.Every uniformly continuous function between metric spaces is continuous. Uniform continuity, unlike continuity, relies on the ability to compare the sizes of neighbourhoods of distinct points of a given space. In an arbitrary topological space, comparing the sizes of neighborhoods may not be possible. Instead, uniform continuity can be defined on a metric space where such comparisons are possible, or more generally on a uniform space.We have the following chain of inclusions for functions over a compact subset of the real line Continuously differentiable ⊆Lipschitz continuous ⊆ α-Hölder continuous ⊆ uniformly continuous = continuous".
- Uniform_continuity wikiPageID "32337".
- Uniform_continuity wikiPageLength "15836".
- Uniform_continuity wikiPageOutDegree "54".
- Uniform_continuity wikiPageRevisionID "707698285".
- Uniform_continuity wikiPageWikiLink Absolute_continuity.
- Uniform_continuity wikiPageWikiLink Banach_space.
- Uniform_continuity wikiPageWikiLink Cantor_function.
- Uniform_continuity wikiPageWikiLink Category:Calculus.
- Uniform_continuity wikiPageWikiLink Category:Continuous_mappings.
- Uniform_continuity wikiPageWikiLink Category:General_topology.
- Uniform_continuity wikiPageWikiLink Category:Mathematical_analysis.
- Uniform_continuity wikiPageWikiLink Cauchy-continuous_function.
- Uniform_continuity wikiPageWikiLink Compact_space.
- Uniform_continuity wikiPageWikiLink Complete_metric_space.
- Uniform_continuity wikiPageWikiLink Continuous_function.
- Uniform_continuity wikiPageWikiLink Darboux_integral.
- Uniform_continuity wikiPageWikiLink Differentiable_function.
- Uniform_continuity wikiPageWikiLink Discrete_space.
- Uniform_continuity wikiPageWikiLink Equicontinuity.
- Uniform_continuity wikiPageWikiLink Euclidean_distance.
- Uniform_continuity wikiPageWikiLink Fourier_transform.
- Uniform_continuity wikiPageWikiLink Function_(mathematics).
- Uniform_continuity wikiPageWikiLink Functional_analysis.
- Uniform_continuity wikiPageWikiLink Heine–Cantor_theorem.
- Uniform_continuity wikiPageWikiLink Hölder_condition.
- Uniform_continuity wikiPageWikiLink Interval_(mathematics).
- Uniform_continuity wikiPageWikiLink Isometry.
- Uniform_continuity wikiPageWikiLink Linear_map.
- Uniform_continuity wikiPageWikiLink Lipschitz_continuity.
- Uniform_continuity wikiPageWikiLink Locally_compact_space.
- Uniform_continuity wikiPageWikiLink Mathematics.
- Uniform_continuity wikiPageWikiLink McGraw-Hill_Education.
- Uniform_continuity wikiPageWikiLink Metric_space.
- Uniform_continuity wikiPageWikiLink Microcontinuity.
- Uniform_continuity wikiPageWikiLink Neighbourhood_(mathematics).
- Uniform_continuity wikiPageWikiLink Non-standard_analysis.
- Uniform_continuity wikiPageWikiLink Non-standard_calculus.
- Uniform_continuity wikiPageWikiLink Quantifier_(logic).
- Uniform_continuity wikiPageWikiLink Real_number.
- Uniform_continuity wikiPageWikiLink Tietze_extension_theorem.
- Uniform_continuity wikiPageWikiLink Topological_space.
- Uniform_continuity wikiPageWikiLink Topological_vector_space.
- Uniform_continuity wikiPageWikiLink Totally_bounded_space.
- Uniform_continuity wikiPageWikiLink Trigonometric_functions.
- Uniform_continuity wikiPageWikiLink Uniform_continuity.
- Uniform_continuity wikiPageWikiLink Uniform_space.
- Uniform_continuity wikiPageWikiLinkText "Uniform continuity".
- Uniform_continuity wikiPageWikiLinkText "Uniform_continuity".
- Uniform_continuity wikiPageWikiLinkText "below".
- Uniform_continuity wikiPageWikiLinkText "uniform continuity".
- Uniform_continuity wikiPageWikiLinkText "uniform".
- Uniform_continuity wikiPageWikiLinkText "uniformly continuous functions".
- Uniform_continuity wikiPageWikiLinkText "uniformly continuous".
- Uniform_continuity first "L.D.".
- Uniform_continuity id "Uniform_continuity&oldid=12797".
- Uniform_continuity last "Kudryavtsev".
- Uniform_continuity title "Uniform continuity".
- Uniform_continuity wikiPageUsesTemplate Template:Citation.
- Uniform_continuity wikiPageUsesTemplate Template:Cite_book.
- Uniform_continuity wikiPageUsesTemplate Template:Harv.
- Uniform_continuity wikiPageUsesTemplate Template:Sfn.
- Uniform_continuity wikiPageUsesTemplate Template:SpringerEOM.
- Uniform_continuity subject Category:Calculus.
- Uniform_continuity subject Category:Continuous_mappings.
- Uniform_continuity subject Category:General_topology.
- Uniform_continuity subject Category:Mathematical_analysis.
- Uniform_continuity type Field.
- Uniform_continuity type Function.
- Uniform_continuity type Mapping.
- Uniform_continuity comment "In mathematics, a function f is uniformly continuous if, roughly speaking, it is possible to guarantee that f(x) and f(y) be as close to each other as we please by requiring only that x and y are sufficiently close to each other; unlike ordinary continuity, the maximum distance between f(x) and f(y) cannot depend on x and y themselves.".
- Uniform_continuity label "Uniform continuity".
- Uniform_continuity sameAs Q741865.
- Uniform_continuity sameAs Равномерна_непрекъснатост.
- Uniform_continuity sameAs Stejnoměrně_spojitá_funkce.
- Uniform_continuity sameAs Di-dorredd_unffurf.
- Uniform_continuity sameAs Gleichmäßige_Stetigkeit.
- Uniform_continuity sameAs Continuidad_uniforme.
- Uniform_continuity sameAs Ühtlane_pidevus.
- Uniform_continuity sameAs Tasainen_jatkuvuus.
- Uniform_continuity sameAs Continuité_uniforme.
- Uniform_continuity sameAs Continuidade_uniforme.
- Uniform_continuity sameAs פונקציה_רציפה_במידה_שווה.
- Uniform_continuity sameAs Egyenletesen_folytonos_függvény.
- Uniform_continuity sameAs Continuità_uniforme.
- Uniform_continuity sameAs 一様連続.
- Uniform_continuity sameAs Бірқалыпты_үзіліссіз_функция.
- Uniform_continuity sameAs 균등_연속_함수.
- Uniform_continuity sameAs Uniforme_continuïteit.
- Uniform_continuity sameAs Funkcja_jednostajnie_ciągła.
- Uniform_continuity sameAs Continuidade_uniforme.
- Uniform_continuity sameAs m.07ybw.
- Uniform_continuity sameAs Continuitate_uniformă.
- Uniform_continuity sameAs Равномерная_непрерывность.
- Uniform_continuity sameAs Равномерна_непрекидност.
- Uniform_continuity sameAs Likformig_kontinuitet.
- Uniform_continuity sameAs Рівномірна_неперервність.
- Uniform_continuity sameAs Q741865.
- Uniform_continuity sameAs 一致连续.
- Uniform_continuity wasDerivedFrom Uniform_continuity?oldid=707698285.