Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Identity_theorem> ?p ?o. }
Showing items 1 to 26 of
26
with 100 items per page.
- Identity_theorem abstract "In complex analysis, a branch of mathematics, the identity theorem for holomorphic functions states: given functions f and g holomorphic on a connected open set D, if f = g on some open non-empty subset of D, then f = g on D. Thus a holomorphic function is completely determined by its values on a (possibly quite small) neighborhood in D. This is not true for real-differentiable functions. In comparison, holomorphy, or complex-differentiability, is a much more rigid notion. Informally, one sometimes summarizes the theorem by saying holomorphic functions are "hard" (as opposed to, say, continuous functions which are "soft").The underpinning fact from which the theorem is established is the developability of a holomorphic function into its Taylor series.".
- Identity_theorem wikiPageID "3553654".
- Identity_theorem wikiPageRevisionID "584652747".
- Identity_theorem hasPhotoCollection Identity_theorem.
- Identity_theorem subject Category:Articles_containing_proofs.
- Identity_theorem subject Category:Theorems_in_complex_analysis.
- Identity_theorem type Abstraction100002137.
- Identity_theorem type Communication100033020.
- Identity_theorem type Message106598915.
- Identity_theorem type Proposition106750804.
- Identity_theorem type Statement106722453.
- Identity_theorem type Theorem106752293.
- Identity_theorem type TheoremsInComplexAnalysis.
- Identity_theorem comment "In complex analysis, a branch of mathematics, the identity theorem for holomorphic functions states: given functions f and g holomorphic on a connected open set D, if f = g on some open non-empty subset of D, then f = g on D. Thus a holomorphic function is completely determined by its values on a (possibly quite small) neighborhood in D. This is not true for real-differentiable functions. In comparison, holomorphy, or complex-differentiability, is a much more rigid notion.".
- Identity_theorem label "Identity theorem".
- Identity_theorem label "Identitätssatz für holomorphe Funktionen".
- Identity_theorem label "一致の定理".
- Identity_theorem sameAs Identitätssatz_für_holomorphe_Funktionen.
- Identity_theorem sameAs 一致の定理.
- Identity_theorem sameAs 항등_정리.
- Identity_theorem sameAs m.09l56_.
- Identity_theorem sameAs Q1038716.
- Identity_theorem sameAs Q1038716.
- Identity_theorem sameAs Identity_theorem.
- Identity_theorem wasDerivedFrom Identity_theorem?oldid=584652747.
- Identity_theorem isPrimaryTopicOf Identity_theorem.