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- Pompeiu_derivative abstract "In mathematical analysis, a Pompeiu derivative is a real-valued function of one real variable that is the derivative of an everywhere differentiable function and that vanishes in a dense set. In particular, a Pompeiu derivative is discontinuous at any point where it is not 0. Whether non-identically zero such functions may exist was a problem that arose in the context of early-1900s research on functional differentiability and integrability. The question was affirmatively answered by Dimitrie Pompeiu by constructing an explicit example; these functions are therefore named after him.".
- Pompeiu_derivative wikiPageID "26580514".
- Pompeiu_derivative wikiPageLength "4323".
- Pompeiu_derivative wikiPageOutDegree "15".
- Pompeiu_derivative wikiPageRevisionID "622222987".
- Pompeiu_derivative wikiPageWikiLink Baire_category_theorem.
- Pompeiu_derivative wikiPageWikiLink Category:Real_analysis.
- Pompeiu_derivative wikiPageWikiLink Cube_root.
- Pompeiu_derivative wikiPageWikiLink Cubic_root.
- Pompeiu_derivative wikiPageWikiLink Dense_set.
- Pompeiu_derivative wikiPageWikiLink Derivative.
- Pompeiu_derivative wikiPageWikiLink Derivative_(mathematics).
- Pompeiu_derivative wikiPageWikiLink Differentiable.
- Pompeiu_derivative wikiPageWikiLink Differentiable_function.
- Pompeiu_derivative wikiPageWikiLink Dimitrie_Pompeiu.
- Pompeiu_derivative wikiPageWikiLink Function_(mathematics).
- Pompeiu_derivative wikiPageWikiLink G_delta_set.
- Pompeiu_derivative wikiPageWikiLink Gδ_set.
- Pompeiu_derivative wikiPageWikiLink Image_(function).
- Pompeiu_derivative wikiPageWikiLink Image_(mathematics).
- Pompeiu_derivative wikiPageWikiLink Inverse_function.
- Pompeiu_derivative wikiPageWikiLink Mathematical_analysis.
- Pompeiu_derivative wikiPageWikiLink Meagre_set.
- Pompeiu_derivative wikiPageWikiLink Residual_set.
- Pompeiu_derivative wikiPageWikiLink Uniform_convergence.
- Pompeiu_derivative wikiPageWikiLink Weierstrass_M-test.
- Pompeiu_derivative wikiPageWikiLinkText "Pompeiu derivative".
- Pompeiu_derivative wikiPageWikiLinkText "Pompeiu derivative".
- Pompeiu_derivative wikiPageWikiLinkText "Pompeiu's construction".
- Pompeiu_derivative hasPhotoCollection Pompeiu_derivative.
- Pompeiu_derivative subject Category:Real_analysis.
- Pompeiu_derivative hypernym Function.
- Pompeiu_derivative type ProgrammingLanguage.
- Pompeiu_derivative comment "In mathematical analysis, a Pompeiu derivative is a real-valued function of one real variable that is the derivative of an everywhere differentiable function and that vanishes in a dense set. In particular, a Pompeiu derivative is discontinuous at any point where it is not 0. Whether non-identically zero such functions may exist was a problem that arose in the context of early-1900s research on functional differentiability and integrability.".
- Pompeiu_derivative label "Pompeiu derivative".
- Pompeiu_derivative sameAs m.0bhbl6s.
- Pompeiu_derivative sameAs Q7227460.
- Pompeiu_derivative sameAs Q7227460.
- Pompeiu_derivative wasDerivedFrom Pompeiu_derivative?oldid=622222987.
- Pompeiu_derivative isPrimaryTopicOf Pompeiu_derivative.