FunctionSpace
Notable function spaces from functional analysis.
Entity["FunctionSpace",name] or 
represents an entity of type "FunctionSpace".
[prop]
gives the value of a specified property.
[{propi,…}]
gives the value of a list of properties.
EntityClass["FunctionSpace",{propispeci,…}]
represents a class of entities with values of propi defined by speci.
Sample Entities
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Sample Entity Classes
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Properties
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AdditionalPeople additional people involved AlternateNames alternate names AlternateNotations alternate notations AssociatedPeople associated people BesselInequality Bessel inequality CauchySchwarzInequality Cauchy‐Schwarz inequality Classes classes Classifications classifications Dimension dimension DualSpace dual space DualSpaceMap dual space map EmbeddingSpace embedding space EntityClasses entity classes EntityTypeList entity type list EponymousPeople eponymous people EquivalenceRelation equivalence relation FormattedASCIIName formatted ASCII name FormattedReferences references FormulationDate formulation date Formulators formulators HoelderTypeInequality Hölder‐type inequality InnerProduct inner product IsomorphicSpaces isomorphic spaces MeasureSpace measure space Name name NonorthonormalBasisExample nonorthonormal basis example Norm norm OrthonormalBasisExample orthonormal basis example ParameterRestrictions parameter restrictions Parameters parameters PlaintextName plaintext name PreDualSpace pre‐dual space PreDualSpaceMap pre‐dual space map QuasiNorm quasi‐norm References reference citations RelatedResults related results RelatedSpaces related spaces RelationshipGraph relationship graph SampleMembers sample members SampleNonmembers sample nonmembers Seminorms seminorms ShortNotation short notation Timeline timeline TriangleInequality triangle inequality TypesetDescription typeset description TypesetNotationsTable typeset notations table UnderlyingSpace underlying space
Details
- "FunctionSpace" entities include notable named function spaces parametrized based on domain and measure.
- "FunctionSpace" entity classes include classifications based on domain and mathematical properties.
- Some properties are available for the "FunctionSpace" entity type as a whole and can be given using the form EntityValue["FunctionSpace",property]. Such properties include:
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"Properties" the list of available properties "PropertyCanonicalNames" the standard names of available properties "SampleEntities" a sample list of available entities (typically of length 10) "SampleEntityClasses" a sample list of available entity classes (typically of length 10) "EntityCount" number of entities available "Entities" the list of available entities "EntityCanonicalNames" the standard names of available entities "EntityClasses" the list of available entity classes "EntityClassCanonicalNames" the standard names of available entity classes "PropertyClasses" the list of available property classes "PropertyClassCanonicalNames" the standard names of available property classes "PropertyCount" number of properties available - The following annotations can be used in the third argument of EntityValue["FunctionSpace",property,annotation]:
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"Source" source information for the property "Date" the date associated with the entity-property value (if any) "EntityAssociation" an association of entities and entity-property values "PropertyAssociation" an association of properties and entity-property values "EntityPropertyAssociation" an association in which the specified entities are keys, and values are a nested association of properties and entity-property values "PropertyEntityAssociation" an association in which the specified properties are keys, and values are a nested association of entities and entity-property values "Dataset" a dataset in which the specified entities are keys, and values are an association of property names and entity-property values - The following annotations can be used in the second argument of EntityValue[property,annotation]:
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"Qualifiers" the list of possible qualifiers for the property "QualifierValues" the list of possible values that can be given to each qualifier "DefaultQualifierValues" the list of default values for the property's qualifiers "Description" a brief textual description of the property "Definition" a detailed textual definition of the property "PhysicalQuantity" the physical quantity associated with the entity-property value "Unit" the unit associated with the entity-property value - A qualifier value of Automatic indicates that an applicable format of values can be used; e.g. for the "Date" qualifier, this includes a proper date or date span.
for entity discovery: