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- Absolute_continuity abstract "In calculus, absolute continuity is a smoothness property of functions that is stronger than continuity and uniform continuity. The notion of absolute continuity allows one to obtain generalisations of the relationship between the two central operations of calculus, differentiation and integration, expressed by the fundamental theorem of calculus in the framework of Riemann integration. Such generalisations are often formulated in terms of Lebesgue integration. For real-valued functions on the real line two interrelated notions appear, absolute continuity of functions and absolute continuity of measures. These two notions are generalized in different directions. The usual derivative of a function is related to the Radon–Nikodym derivative, or density, of a measure.".
- Absolute_continuity wikiPageExternalLink www.encyclopediaofmath.org.
- Absolute_continuity wikiPageExternalLink Absolute_continuity.
- Absolute_continuity wikiPageID "252670".
- Absolute_continuity wikiPageRevisionID "597983576".
- Absolute_continuity hasPhotoCollection Absolute_continuity.
- Absolute_continuity subject Category:Continuous_mappings.
- Absolute_continuity subject Category:Measure_theory.
- Absolute_continuity subject Category:Real_analysis.
- Absolute_continuity type Abstraction100002137.
- Absolute_continuity type ContinuousMappings.
- Absolute_continuity type Function113783816.
- Absolute_continuity type MathematicalRelation113783581.
- Absolute_continuity type Relation100031921.
- Absolute_continuity comment "In calculus, absolute continuity is a smoothness property of functions that is stronger than continuity and uniform continuity. The notion of absolute continuity allows one to obtain generalisations of the relationship between the two central operations of calculus, differentiation and integration, expressed by the fundamental theorem of calculus in the framework of Riemann integration. Such generalisations are often formulated in terms of Lebesgue integration.".
- Absolute_continuity label "Absolue continuité".
- Absolute_continuity label "Absolute Stetigkeit".
- Absolute_continuity label "Absolute continuity".
- Absolute_continuity label "Absolute continuïteit".
- Absolute_continuity label "Ciągłość bezwzględna".
- Absolute_continuity label "Continuità assoluta".
- Absolute_continuity label "Абсолютная непрерывность".
- Absolute_continuity label "絶対連続".
- Absolute_continuity label "绝对连续".
- Absolute_continuity sameAs Absolutně_spojitá_funkce.
- Absolute_continuity sameAs Absolute_Stetigkeit.
- Absolute_continuity sameAs Absolue_continuité.
- Absolute_continuity sameAs Continuità_assoluta.
- Absolute_continuity sameAs 絶対連続.
- Absolute_continuity sameAs 절대_연속.
- Absolute_continuity sameAs Absolute_continuïteit.
- Absolute_continuity sameAs Ciągłość_bezwzględna.
- Absolute_continuity sameAs m.01lh1n.
- Absolute_continuity sameAs Q332504.
- Absolute_continuity sameAs Q332504.
- Absolute_continuity sameAs Absolute_continuity.
- Absolute_continuity wasDerivedFrom Absolute_continuity?oldid=597983576.
- Absolute_continuity isPrimaryTopicOf Absolute_continuity.