Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Classification_of_discontinuities> ?p ?o }
- Classification_of_discontinuities abstract "Continuous functions are of utmost importance in mathematics, functions and applications. However, not all functions are continuous. If a function is not continuous at a point in its domain, one says that it has a discontinuity there. The set of all points of discontinuity of a function may be a discrete set, a dense set, or even the entire domain of the function. This article describes the classification of discontinuities in the simplest case of functions of a single real variable taking real values.The oscillation of a function at a point quantifies these discontinuities as follows: in a removable discontinuity, the distance that the value of the function is off by is the oscillation; in a jump discontinuity, the size of the jump is the oscillation (assuming that the value at the point lies between these limits from the two sides); in an essential discontinuity, oscillation measures the failure of a limit to exist.".
- Classification_of_discontinuities thumbnail Discontinuity_removable.eps.png?width=300.
- Classification_of_discontinuities wikiPageExternalLink Discontinuity.
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- Classification_of_discontinuities wikiPageWikiLink Dirichlet_function.
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- Classification_of_discontinuities wikiPageWikiLink Domain_(mathematics).
- Classification_of_discontinuities wikiPageWikiLink Domain_of_a_function.
- Classification_of_discontinuities wikiPageWikiLink Ed_Pegg,_Jr..
- Classification_of_discontinuities wikiPageWikiLink Essential_singularity.
- Classification_of_discontinuities wikiPageWikiLink F-sigma_set.
- Classification_of_discontinuities wikiPageWikiLink Frodas_theorem.
- Classification_of_discontinuities wikiPageWikiLink Function_(mathematics).
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- Classification_of_discontinuities wikiPageWikiLink G-delta_set.
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- Classification_of_discontinuities wikiPageWikiLink Isolated_point.
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- Classification_of_discontinuities wikiPageWikiLink Mathematics.
- Classification_of_discontinuities wikiPageWikiLink Monotonic_function.
- Classification_of_discontinuities wikiPageWikiLink Nowhere_continuous.
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- Classification_of_discontinuities wikiPageWikiLink One-sided_limit.
- Classification_of_discontinuities wikiPageWikiLink Oscillation_(mathematics).
- Classification_of_discontinuities wikiPageWikiLink Rational_point.
- Classification_of_discontinuities wikiPageWikiLink Real_number.
- Classification_of_discontinuities wikiPageWikiLink Regular_space.
- Classification_of_discontinuities wikiPageWikiLink Removable_singularity.
- Classification_of_discontinuities wikiPageWikiLink Singularity_(mathematics).
- Classification_of_discontinuities wikiPageWikiLink The_Wolfram_Demonstrations_Project.
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- Classification_of_discontinuities wikiPageWikiLink File:Discontinuity_essential.eps.png.
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- Classification_of_discontinuities wikiPageWikiLinkText "Classification of discontinuities".
- Classification_of_discontinuities wikiPageWikiLinkText "Classification of discontinuities#Essential discontinuity".
- Classification_of_discontinuities wikiPageWikiLinkText "Classification of discontinuities#Jump discontinuity".
- Classification_of_discontinuities wikiPageWikiLinkText "Classification of discontinuities#Removable discontinuity".
- Classification_of_discontinuities wikiPageWikiLinkText "classification of discontinuities".
- Classification_of_discontinuities wikiPageWikiLinkText "discontinuities in the solution".
- Classification_of_discontinuities wikiPageWikiLinkText "discontinuities".
- Classification_of_discontinuities wikiPageWikiLinkText "discontinuity".
- Classification_of_discontinuities wikiPageWikiLinkText "discontinuous".
- Classification_of_discontinuities wikiPageWikiLinkText "jump discontinuity".
- Classification_of_discontinuities wikiPageWikiLinkText "removable discontinuity".
- Classification_of_discontinuities wikiPageWikiLinkText "right-continuous/left-limit".
- Classification_of_discontinuities wikiPageWikiLinkText "simple discontinuities".
- Classification_of_discontinuities first "L.D.".
- Classification_of_discontinuities hasPhotoCollection Classification_of_discontinuities.
- Classification_of_discontinuities id "4447".
- Classification_of_discontinuities id "Discontinuity_point".
- Classification_of_discontinuities last "Kudryavtsev".
- Classification_of_discontinuities oldid "12112".
- Classification_of_discontinuities title "Discontinuity point".
- Classification_of_discontinuities title "Discontinuity".
- Classification_of_discontinuities title "Discontinuous".
- Classification_of_discontinuities urlname "Discontinuity".
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- Classification_of_discontinuities subject Category:Mathematical_analysis.
- Classification_of_discontinuities type Article.
- Classification_of_discontinuities type Article.
- Classification_of_discontinuities type Field.
- Classification_of_discontinuities comment "Continuous functions are of utmost importance in mathematics, functions and applications. However, not all functions are continuous. If a function is not continuous at a point in its domain, one says that it has a discontinuity there. The set of all points of discontinuity of a function may be a discrete set, a dense set, or even the entire domain of the function.".
- Classification_of_discontinuities label "Classification of discontinuities".
- Classification_of_discontinuities sameAs Classificació_de_discontinuïtats.
- Classification_of_discontinuities sameAs Unstetigkeitsstelle.
- Classification_of_discontinuities sameAs Clasificación_de_discontinuidades.
- Classification_of_discontinuities sameAs Classification_des_discontinuités.
- Classification_of_discontinuities sameAs נקודת_אי_רציפות.
- Classification_of_discontinuities sameAs Szakadás_(matematika).
- Classification_of_discontinuities sameAs Punto_di_discontinuità.
- Classification_of_discontinuities sameAs 不連続性の分類.
- Classification_of_discontinuities sameAs 불연속성의_분류.
- Classification_of_discontinuities sameAs Discontinuïteit.
- Classification_of_discontinuities sameAs Punkt_nieciągłości.
- Classification_of_discontinuities sameAs m.07w4f1.
- Classification_of_discontinuities sameAs Прекиди_функције.
- Classification_of_discontinuities sameAs Diskontinuitet.
- Classification_of_discontinuities sameAs Q541961.