Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Absolute_continuity> ?p ?o }
- 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 generalizations 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 generalizations 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.We have the following chains of inclusions for functions over a compact subset of the real line: absolutely continuous ⊆ uniformly continuous = continuousand: Continuously differentiable ⊆ Lipschitz continuous ⊆ absolutely continuous ⊆ bounded variation ⊆ differentiable almost everywhere".
- Absolute_continuity wikiPageExternalLink index.html.
- Absolute_continuity wikiPageExternalLink gsm-105.
- Absolute_continuity wikiPageExternalLink mathscinet-getitem?mr=2527916.
- Absolute_continuity wikiPageExternalLink www.encyclopediaofmath.org.
- Absolute_continuity wikiPageExternalLink Absolute_continuity.
- Absolute_continuity wikiPageExternalLink a-first-course-in-sobolev-spaces.
- Absolute_continuity wikiPageExternalLink ?q=an:1180.46001&format=complete.
- Absolute_continuity wikiPageID "252670".
- Absolute_continuity wikiPageLength "16181".
- Absolute_continuity wikiPageOutDegree "81".
- Absolute_continuity wikiPageRevisionID "705530554".
- Absolute_continuity wikiPageWikiLink Absolute_continuity.
- Absolute_continuity wikiPageWikiLink Almost_all.
- Absolute_continuity wikiPageWikiLink Almost_everywhere.
- Absolute_continuity wikiPageWikiLink Antisymmetric_relation.
- Absolute_continuity wikiPageWikiLink Borel_set.
- Absolute_continuity wikiPageWikiLink Bounded_variation.
- Absolute_continuity wikiPageWikiLink Calculus.
- Absolute_continuity wikiPageWikiLink Cantor_function.
- Absolute_continuity wikiPageWikiLink Category:Continuous_mappings.
- Absolute_continuity wikiPageWikiLink Category:Measure_theory.
- Absolute_continuity wikiPageWikiLink Category:Real_analysis.
- Absolute_continuity wikiPageWikiLink Compact_space.
- Absolute_continuity wikiPageWikiLink Complex_measure.
- Absolute_continuity wikiPageWikiLink Continuous_function.
- Absolute_continuity wikiPageWikiLink Derivative.
- Absolute_continuity wikiPageWikiLink Differentiable_function.
- Absolute_continuity wikiPageWikiLink Disjoint_sets.
- Absolute_continuity wikiPageWikiLink Distribution_(mathematics).
- Absolute_continuity wikiPageWikiLink Equivalence_(measure_theory).
- Absolute_continuity wikiPageWikiLink Equivalence_class.
- Absolute_continuity wikiPageWikiLink Function_(mathematics).
- Absolute_continuity wikiPageWikiLink Fundamental_theorem_of_calculus.
- Absolute_continuity wikiPageWikiLink Gerald_Teschl.
- Absolute_continuity wikiPageWikiLink Henri_Lebesgue.
- Absolute_continuity wikiPageWikiLink Integral.
- Absolute_continuity wikiPageWikiLink Interval_(mathematics).
- Absolute_continuity wikiPageWikiLink Lebesgue_integration.
- Absolute_continuity wikiPageWikiLink Lebesgue_measure.
- Absolute_continuity wikiPageWikiLink Lebesgues_decomposition_theorem.
- Absolute_continuity wikiPageWikiLink Lebesgue–Stieltjes_integration.
- Absolute_continuity wikiPageWikiLink Lipschitz_continuity.
- Absolute_continuity wikiPageWikiLink Lp_space.
- Absolute_continuity wikiPageWikiLink Luzin_N_property.
- Absolute_continuity wikiPageWikiLink Measure_(mathematics).
- Absolute_continuity wikiPageWikiLink Metric_derivative.
- Absolute_continuity wikiPageWikiLink Metric_space.
- Absolute_continuity wikiPageWikiLink Null_set.
- Absolute_continuity wikiPageWikiLink Partially_ordered_set.
- Absolute_continuity wikiPageWikiLink Preorder.
- Absolute_continuity wikiPageWikiLink Probability_density_function.
- Absolute_continuity wikiPageWikiLink Radon–Nikodym_theorem.
- Absolute_continuity wikiPageWikiLink Real_line.
- Absolute_continuity wikiPageWikiLink Reflexive_relation.
- Absolute_continuity wikiPageWikiLink Riemann_integral.
- Absolute_continuity wikiPageWikiLink Signed_measure.
- Absolute_continuity wikiPageWikiLink Singular_measure.
- Absolute_continuity wikiPageWikiLink Transitive_relation.
- Absolute_continuity wikiPageWikiLink Uniform_continuity.
- Absolute_continuity wikiPageWikiLink Weierstrass_function.
- Absolute_continuity wikiPageWikiLink Σ-finite_measure.
- Absolute_continuity wikiPageWikiLinkText "Absolute continuity".
- Absolute_continuity wikiPageWikiLinkText "Absolute continuity#Absolute continuity of measures".
- Absolute_continuity wikiPageWikiLinkText "Absolute continuity#Equivalent definitions".
- Absolute_continuity wikiPageWikiLinkText "Absolute_continuity".
- Absolute_continuity wikiPageWikiLinkText "Absolute_continuity#Absolute_continuity_of_measures".
- Absolute_continuity wikiPageWikiLinkText "Absolutely continuity of a measure with respect to another measure".
- Absolute_continuity wikiPageWikiLinkText "Absolutely continuous function".
- Absolute_continuity wikiPageWikiLinkText "absolute continuity".
- Absolute_continuity wikiPageWikiLinkText "absolutely continuous distribution".
- Absolute_continuity wikiPageWikiLinkText "absolutely continuous functions".
- Absolute_continuity wikiPageWikiLinkText "absolutely continuous measure".
- Absolute_continuity wikiPageWikiLinkText "absolutely continuous".
- Absolute_continuity wikiPageWikiLinkText "continuous".
- Absolute_continuity wikiPageUsesTemplate Template:Citation.
- Absolute_continuity wikiPageUsesTemplate Template:Reflist.
- Absolute_continuity subject Category:Continuous_mappings.
- Absolute_continuity subject Category:Measure_theory.
- Absolute_continuity subject Category:Real_analysis.
- Absolute_continuity hypernym Property.
- Absolute_continuity type Building.
- Absolute_continuity type Function.
- Absolute_continuity type Mapping.
- 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 generalizations 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 generalizations are often formulated in terms of Lebesgue integration.".
- Absolute_continuity label "Absolute continuity".
- Absolute_continuity sameAs Q332504.
- Absolute_continuity sameAs Absolutně_spojitá_funkce.
- Absolute_continuity sameAs Absolut_stetige_Funktion.
- Absolute_continuity sameAs Absoluuttinen_jatkuvuus.
- Absolute_continuity sameAs Absolue_continuité.
- Absolute_continuity sameAs Abszolút_folytonosság.
- Absolute_continuity sameAs Continuità_assoluta.
- Absolute_continuity sameAs 絶対連続.
- Absolute_continuity sameAs 절대_연속_함수.
- Absolute_continuity sameAs Absolute_continuïteit.
- Absolute_continuity sameAs Ciągłość_bezwzględna.
- Absolute_continuity sameAs m.01lh1n.
- Absolute_continuity sameAs Абсолютная_непрерывность.
- Absolute_continuity sameAs Абсолютна_неперервність.