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- Nowhere_continuous_function abstract "In mathematics, a nowhere continuous function, also called an everywhere discontinuous function, is a function that is not continuous at any point of its domain. If f is a function from real numbers to real numbers, then f(x) is nowhere continuous if for each point x there is an ε > 0 such that for each δ > 0 we can find a point y such that 0< |x − y| < δ and |f(x) − f(y)| ≥ ε. Therefore, no matter how close we get to any fixed point, there are even closer points at which the function takes not-nearby values.More general definitions of this kind of function can be obtained, by replacing the absolute value by the distance function in a metric space, or by using the definition of continuity in a topological space.".
- Nowhere_continuous_function wikiPageExternalLink TheModifiedDirichletFunction.
- Nowhere_continuous_function wikiPageExternalLink DirichletFunction.html.
- Nowhere_continuous_function wikiPageID "333677".
- Nowhere_continuous_function wikiPageRevisionID "595718869".
- Nowhere_continuous_function hasPhotoCollection Nowhere_continuous_function.
- Nowhere_continuous_function id "p/d032860".
- Nowhere_continuous_function title "Dirichlet-function".
- Nowhere_continuous_function subject Category:Mathematical_analysis.
- Nowhere_continuous_function subject Category:Topology.
- Nowhere_continuous_function subject Category:Types_of_functions.
- Nowhere_continuous_function comment "In mathematics, a nowhere continuous function, also called an everywhere discontinuous function, is a function that is not continuous at any point of its domain. If f is a function from real numbers to real numbers, then f(x) is nowhere continuous if for each point x there is an ε > 0 such that for each δ > 0 we can find a point y such that 0< |x − y| < δ and |f(x) − f(y)| ≥ ε.".
- Nowhere_continuous_function label "Dirichlet-Funktion".
- Nowhere_continuous_function label "Dirichletfunctie".
- Nowhere_continuous_function label "Función de Dirichlet".
- Nowhere_continuous_function label "Funkcja Dirichleta".
- Nowhere_continuous_function label "Funzione di Dirichlet".
- Nowhere_continuous_function label "Função de Dirichlet".
- Nowhere_continuous_function label "Nowhere continuous function".
- Nowhere_continuous_function label "Функция Дирихле".
- Nowhere_continuous_function label "دالة غير متصلة في أي مكان".
- Nowhere_continuous_function label "ディリクレの関数".
- Nowhere_continuous_function label "狄利克雷函数".
- Nowhere_continuous_function sameAs Dirichletova_funkce.
- Nowhere_continuous_function sameAs Dirichlet-Funktion.
- Nowhere_continuous_function sameAs Función_de_Dirichlet.
- Nowhere_continuous_function sameAs Funzione_di_Dirichlet.
- Nowhere_continuous_function sameAs ディリクレの関数.
- Nowhere_continuous_function sameAs Dirichletfunctie.
- Nowhere_continuous_function sameAs Funkcja_Dirichleta.
- Nowhere_continuous_function sameAs Função_de_Dirichlet.
- Nowhere_continuous_function sameAs m.01x6h_.
- Nowhere_continuous_function sameAs Q948386.
- Nowhere_continuous_function sameAs Q948386.
- Nowhere_continuous_function wasDerivedFrom Nowhere_continuous_function?oldid=595718869.
- Nowhere_continuous_function isPrimaryTopicOf Nowhere_continuous_function.