Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Removable_singularity> ?p ?o. }
Showing items 1 to 36 of
36
with 100 items per page.
- Removable_singularity abstract "In complex analysis, a removable singularity (sometimes called a cosmetic singularity) of a holomorphic function is a point at which the function is undefined, but it is possible to define the function at that point in such a way that the function is regular in a neighbourhood of that point.For instance, the function has a singularity at z = 0. This singularity can be removed by defining f(0) := 1, which is the limit of f as z tends to 0. The resulting function is holomorphic. In this case the problem was caused by f being given an indeterminate form. Taking a power series expansion for shows thatFormally, if is an open subset of the complex plane , a point of , and is a holomorphic function, then is called a removable singularity for if there exists a holomorphic function which coincides with on . We say is holomorphically extendable over if such a exists.".
- Removable_singularity thumbnail Graph_of_x_squared_undefined_at_x_equals_2.svg?width=300.
- Removable_singularity wikiPageExternalLink www.encyclopediaofmath.org.
- Removable_singularity wikiPageExternalLink Removable_singular_point.
- Removable_singularity wikiPageID "81644".
- Removable_singularity wikiPageRevisionID "594486861".
- Removable_singularity hasPhotoCollection Removable_singularity.
- Removable_singularity subject Category:Analytic_functions.
- Removable_singularity subject Category:Meromorphic_functions.
- Removable_singularity type Abstraction100002137.
- Removable_singularity type AnalyticFunctions.
- Removable_singularity type Function113783816.
- Removable_singularity type MathematicalRelation113783581.
- Removable_singularity type MeromorphicFunctions.
- Removable_singularity type Relation100031921.
- Removable_singularity comment "In complex analysis, a removable singularity (sometimes called a cosmetic singularity) of a holomorphic function is a point at which the function is undefined, but it is possible to define the function at that point in such a way that the function is regular in a neighbourhood of that point.For instance, the function has a singularity at z = 0. This singularity can be removed by defining f(0) := 1, which is the limit of f as z tends to 0. The resulting function is holomorphic.".
- Removable_singularity label "Ophefbare singulariteit".
- Removable_singularity label "Removable singularity".
- Removable_singularity label "Riemannscher Hebbarkeitssatz".
- Removable_singularity label "Singularidade removível".
- Removable_singularity label "Singularité en analyse complexe".
- Removable_singularity label "Устранимая особая точка".
- Removable_singularity label "可去奇点".
- Removable_singularity label "可除特異点".
- Removable_singularity sameAs Riemannscher_Hebbarkeitssatz.
- Removable_singularity sameAs Singularité_en_analyse_complexe.
- Removable_singularity sameAs 可除特異点.
- Removable_singularity sameAs Ophefbare_singulariteit.
- Removable_singularity sameAs Singularidade_removível.
- Removable_singularity sameAs m.0l00b.
- Removable_singularity sameAs Q1974087.
- Removable_singularity sameAs Q1974087.
- Removable_singularity sameAs Removable_singularity.
- Removable_singularity wasDerivedFrom Removable_singularity?oldid=594486861.
- Removable_singularity depiction Graph_of_x_squared_undefined_at_x_equals_2.svg.
- Removable_singularity isPrimaryTopicOf Removable_singularity.
