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- Lipschitz_continuity abstract "In mathematical analysis, Lipschitz continuity, named after Rudolf Lipschitz, is a strong form of uniform continuity for functions. Intuitively, a Lipschitz continuous function is limited in how fast it can change: for every pair of points on the graph of this function, the absolute value of the slope of the line connecting them is no greater than a definite real number; this bound is called the function's "Lipschitz constant" (or "modulus of uniform continuity").In the theory of differential equations, Lipschitz continuity is the central condition of the Picard–Lindelöf theorem which guarantees the existence and uniqueness of the solution to an initial value problem. A special type of Lipschitz continuity, called contraction, is used in the Banach fixed point theorem.The concept of Lipschitz continuity is well-defined on metric spaces. A generalization of Lipschitz continuity is called Hölder continuity.".
- Lipschitz_continuity thumbnail Lipschitz_continuity.png?width=300.
- Lipschitz_continuity wikiPageID "51731".
- Lipschitz_continuity wikiPageRevisionID "601370319".
- Lipschitz_continuity hasPhotoCollection Lipschitz_continuity.
- Lipschitz_continuity subject Category:Lipschitz_maps.
- Lipschitz_continuity subject Category:Structures_on_manifolds.
- Lipschitz_continuity type Artifact100021939.
- Lipschitz_continuity type Object100002684.
- Lipschitz_continuity type PhysicalEntity100001930.
- Lipschitz_continuity type Structure104341686.
- Lipschitz_continuity type StructuresOnManifolds.
- Lipschitz_continuity type Whole100003553.
- Lipschitz_continuity type YagoGeoEntity.
- Lipschitz_continuity type YagoPermanentlyLocatedEntity.
- Lipschitz_continuity comment "In mathematical analysis, Lipschitz continuity, named after Rudolf Lipschitz, is a strong form of uniform continuity for functions.".
- Lipschitz_continuity label "Application lipschitzienne".
- Lipschitz_continuity label "Función lipschitziana".
- Lipschitz_continuity label "Funzione lipschitziana".
- Lipschitz_continuity label "Função Lipschitz contínua".
- Lipschitz_continuity label "Lipschitz continuity".
- Lipschitz_continuity label "Lipschitz-Stetigkeit".
- Lipschitz_continuity label "Lipschitz-continuïteit".
- Lipschitz_continuity label "Warunek Lipschitza".
- Lipschitz_continuity label "Липшицево отображение".
- Lipschitz_continuity label "リプシッツ連続".
- Lipschitz_continuity label "利普希茨連續".
- Lipschitz_continuity sameAs Lipschitzovsky_spojité_zobrazení.
- Lipschitz_continuity sameAs Lipschitz-Stetigkeit.
- Lipschitz_continuity sameAs Función_lipschitziana.
- Lipschitz_continuity sameAs Application_lipschitzienne.
- Lipschitz_continuity sameAs Funzione_lipschitziana.
- Lipschitz_continuity sameAs リプシッツ連続.
- Lipschitz_continuity sameAs 리프시츠_연속.
- Lipschitz_continuity sameAs Lipschitz-continuïteit.
- Lipschitz_continuity sameAs Warunek_Lipschitza.
- Lipschitz_continuity sameAs Função_Lipschitz_contínua.
- Lipschitz_continuity sameAs m.0dmqw.
- Lipschitz_continuity sameAs Q652707.
- Lipschitz_continuity sameAs Q652707.
- Lipschitz_continuity sameAs Lipschitz_continuity.
- Lipschitz_continuity wasDerivedFrom Lipschitz_continuity?oldid=601370319.
- Lipschitz_continuity depiction Lipschitz_continuity.png.
- Lipschitz_continuity isPrimaryTopicOf Lipschitz_continuity.