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- 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 x and 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.The equicontinuity of a set of functions is a generalization of the concept of uniform continuity.Every continuous function on a compact set is uniformly continuous.".
- Uniform_continuity wikiPageID "32337".
- Uniform_continuity wikiPageRevisionID "594339916".
- Uniform_continuity first "L.D.".
- Uniform_continuity hasPhotoCollection Uniform_continuity.
- Uniform_continuity id "Uniform_continuity&oldid=12797".
- Uniform_continuity last "Kudryavtsev".
- Uniform_continuity title "Uniform continuity".
- 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 Abstraction100002137.
- Uniform_continuity type ContinuousMappings.
- Uniform_continuity type Function113783816.
- Uniform_continuity type MathematicalRelation113783581.
- Uniform_continuity type Relation100031921.
- 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 x and y cannot depend on x and y themselves.".
- Uniform_continuity label "Continuidad uniforme".
- Uniform_continuity label "Continuidade uniforme".
- Uniform_continuity label "Continuità uniforme".
- Uniform_continuity label "Continuité uniforme".
- Uniform_continuity label "Funkcja jednostajnie ciągła".
- Uniform_continuity label "Gleichmäßige Stetigkeit".
- Uniform_continuity label "Uniform continuity".
- Uniform_continuity label "Uniforme continuïteit".
- Uniform_continuity label "Равномерная непрерывность".
- Uniform_continuity label "一様連続".
- Uniform_continuity label "一致连续".
- Uniform_continuity sameAs Stejnoměrně_spojitá_funkce.
- Uniform_continuity sameAs Gleichmäßige_Stetigkeit.
- Uniform_continuity sameAs Continuidad_uniforme.
- Uniform_continuity sameAs Continuité_uniforme.
- Uniform_continuity sameAs Continuità_uniforme.
- Uniform_continuity sameAs 一様連続.
- Uniform_continuity sameAs 균등연속.
- Uniform_continuity sameAs Uniforme_continuïteit.
- Uniform_continuity sameAs Funkcja_jednostajnie_ciągła.
- Uniform_continuity sameAs Continuidade_uniforme.
- Uniform_continuity sameAs m.07ybw.
- Uniform_continuity sameAs Q741865.
- Uniform_continuity sameAs Q741865.
- Uniform_continuity sameAs Uniform_continuity.
- Uniform_continuity wasDerivedFrom Uniform_continuity?oldid=594339916.
- Uniform_continuity isPrimaryTopicOf Uniform_continuity.