About: Non-analytic smooth function

An Entity of Type: Thing, from Named Graph: http://dbpedia.org, within Data Space: dbpedia.org

Mathematical functions which are smooth but not analytic

Property	Value
dbo:description	mathematical functions which are smooth but not analytic (en) Type de fonction mathématiques (fr) aplicación infinitamente diferenciable pero que no puede expresarse como una serie de potencias convergente (es)
dbo:thumbnail	wiki-commons:Special:FilePath/Non-analytic_smooth_function.png?width=300
dbo:wikiPageWikiLink	dbr:Bump_function dbc:Articles_containing_proofs dbr:Laurent_Schwartz dbr:Dense_set dbr:Monomial dbr:Recursion dbr:Counterexample dbr:Sheaf_theory dbr:Radius_of_convergence dbr:Weierstrass_M-test dbr:Ball_(mathematics) dbr:Complex_plane dbr:Function_(mathematics) dbr:Integer dbr:Real_line dbr:Real_number dbr:Émile_Borel dbr:Ratio_test dbr:Fine_sheaf dbr:Dyadic_rational dbr:One-sided_limit dbr:Analytic_continuation dbr:Analytic_function dbr:Mollifier dbr:Mathematics dbr:Zero_function dbr:Complex_analysis dbr:Partition_of_unity dbr:Uniform_convergence dbr:Fabius_function dbr:Flat_function dbc:Smooth_functions dbr:Complex_manifold dbr:Mathematical_induction dbr:Reciprocal_rule dbr:Euclidean_norm dbr:Euclidean_space dbr:Origin_(mathematics) dbr:Taylor_series dbr:Chain_rule dbr:Differential_geometry dbr:Differentiable_manifold dbr:Borel's_lemma dbr:Boundedness_theorem dbr:Polynomial dbr:Converse_(logic) dbr:Degree_of_a_polynomial dbr:Essential_singularity dbr:Fourier_series dbr:Generalized_function dbr:Unit_interval dbr:Distribution_(mathematics) dbr:Continuous_function dbr:Exponential_function dbr:Support_(mathematics) dbr:Pathological_(mathematics) dbr:Natural_number dbr:Derivative dbr:Differentiable_function dbr:Smooth_function dbr:Great_Picard_theorem dbr:Holomorphic_functions_are_analytic dbr:File:Mollifier_Illustration.svg dbr:Cauchy-Hadamard_theorem dbr:Compact_support dbr:Nonnegative dbr:File:Non-analytic_smooth_function.png dbr:File:Smooth_non-analytic_function.png dbr:File:Smooth_transition_from_0_to_1.png dbr:Supremum_norm
dbp:title	Infinitely-differentiable function that is not analytic (en)
dbp:urlname	InfinitelydifferentiableFunctionThatIsNotAnalytic (en)
dbp:wikiPageUsesTemplate	dbt:Collapse_bottom dbt:Main dbt:Reflist dbt:Collapse_top dbt:Math dbt:= dbt:Planetmath_reference dbt:Short_description
dct:subject	dbc:Articles_containing_proofs dbc:Smooth_functions
rdfs:label	Non-analytic smooth function (en) Fonction régulière non analytique (fr) 비 해석적 매끄러운 함수 (ko)
owl:sameAs	freebase:Non-analytic smooth function wikidata:Non-analytic smooth function dbpedia-fr:Non-analytic smooth function dbpedia-ko:Non-analytic smooth function dbpedia-global:Non-analytic smooth function yago-res:Non-analytic smooth function
prov:wasDerivedFrom	wikipedia-en:Non-analytic_smooth_function?oldid=1264871065&ns=0
foaf:depiction	wiki-commons:Special:FilePath/Mollifier_Illustration.svg wiki-commons:Special:FilePath/Non-analytic_smooth_function.png wiki-commons:Special:FilePath/Smooth_transition_from_0_to_1.png wiki-commons:Special:FilePath/Smooth_non-analytic_function.png
foaf:isPrimaryTopicOf	wikipedia-en:Non-analytic_smooth_function
is dbo:wikiPageRedirects of	dbr:An_infinitely_differentiable_function_that_is_not_analytic dbr:An_infinitely_differentiable_function_that_is_not_analytic/proof dbr:Non-analitic_smooth_function dbr:Infinitely-differentiable_function_that_is_not_analytic
is dbo:wikiPageWikiLink of	dbr:Bump_function dbr:Smoothness dbr:Analytic_function dbr:Mollifier dbr:Flat_function dbr:Earle_Raymond_Hedrick dbr:Sigmoid_function dbr:Taylor_series dbr:Taylor's_theorem dbr:List_of_real_analysis_topics dbr:Klein–Kramers_equation dbr:An_infinitely_differentiable_function_that_is_not_analytic dbr:An_infinitely_differentiable_function_that_is_not_analytic/proof dbr:Non-analitic_smooth_function dbr:Infinitely-differentiable_function_that_is_not_analytic
is foaf:primaryTopic of	wikipedia-en:Non-analytic_smooth_function