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Equicontinuity

In mathematical analysis, a family of functions is equicontinuous if all the functions are continuous and they have equal variation over a given neighbourhood, in a precise sense described herein. In particular, the concept applies to countable families, and thus sequences of functions.

Art, Overview & Equicontinuity between metric spaces

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Equicontinuity between metric spaces

Equicontinuity of maps valued in uniform spaces

Equicontinuous linear maps

Equicontinuity and uniform convergence

Generalizations

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Equicontinuity

Nodes54
Edges53
Triples35
Avg. degree1.96
Density0.037037
Components1

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Equicontinuity

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related to References · 31
Equicontinuity → Academic Press, Applied Mathematics, Barry, Beckenstein, Boca Raton, Boston, CRC Press, Edward, EMS Press, Encyclopedia, FL, Functional Analysis, International Series, ISBN, Lawrence, MA, Mathematics, McGraw-Hill Science/Engineering/Math, Michael, Narici
related to Equicontinuity in topological spaces · 2
Equicontinuity → Appropriate, The
is a · 1
Equicontinuity → version of equicontinuity used in the context of sequences of functions of random variables
related to Stochastic equicontinuity · 1
Equicontinuity → Stochastic

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equicontinuous displaystyle continuous functions every spaces uniform bounded pointwise compact family set subset space topological sequence uniformly may prime converges

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SubjectPredicateObjectConfidenceSrc
Equicontinuityis aversion of equicontinuity used in the context of sequences of functions of random variables0.90text
Equicontinuityrelated to Equicontinuity in topological spacesThe0.60section
Equicontinuityrelated to Equicontinuity in topological spacesAppropriate0.60section
Equicontinuityrelated to ReferencesEncyclopedia0.60section
Equicontinuityrelated to ReferencesMathematics0.60section
Equicontinuityrelated to ReferencesEMS Press0.60section
Equicontinuityrelated to ReferencesReed0.60section
Equicontinuityrelated to ReferencesMichael0.60section
Equicontinuityrelated to ReferencesSimon0.60section
Equicontinuityrelated to ReferencesBarry0.60section
Equicontinuityrelated to ReferencesFunctional Analysis0.60section
Equicontinuityrelated to ReferencesBoston0.60section

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