About: Catalecticant

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

In mathematical invariant theory, the catalecticant of a form of even degree is a polynomial in its coefficients that vanishes when the form is a sum of an unusually small number of powers of linear forms. It was introduced by ; see . The word catalectic refers to an incomplete line of verse, lacking a syllable at the end or ending with an incomplete foot.

Property Value
dbo:abstract
  • In mathematical invariant theory, the catalecticant of a form of even degree is a polynomial in its coefficients that vanishes when the form is a sum of an unusually small number of powers of linear forms. It was introduced by ; see . The word catalectic refers to an incomplete line of verse, lacking a syllable at the end or ending with an incomplete foot. (en)
dbo:wikiPageExternalLink
dbo:wikiPageID
  • 30084691 (xsd:integer)
dbo:wikiPageLength
  • 3456 (xsd:nonNegativeInteger)
dbo:wikiPageRevisionID
  • 1100328498 (xsd:integer)
dbo:wikiPageWikiLink
dbp:align
  • right (en)
dbp:quote
  • But the catalecticant of the biquadratic function of x, y was first brought into notice as an invariant by Mr Boole; and the discriminant of the quadratic function of x, y is identical with its catalecticant, as also with its Hessian. Meicatalecticizant would more completely express the meaning of that which, for the sake of brevity, I denominate the catalecticant. (en)
dbp:source
  • , quoted by (en)
dbp:width
  • 30.0
dbp:wikiPageUsesTemplate
dcterms:subject
gold:hypernym
rdfs:comment
  • In mathematical invariant theory, the catalecticant of a form of even degree is a polynomial in its coefficients that vanishes when the form is a sum of an unusually small number of powers of linear forms. It was introduced by ; see . The word catalectic refers to an incomplete line of verse, lacking a syllable at the end or ending with an incomplete foot. (en)
rdfs:label
  • Catalecticant (en)
owl:sameAs
prov:wasDerivedFrom
foaf:isPrimaryTopicOf
is dbo:wikiPageRedirects of
is dbo:wikiPageWikiLink of
is foaf:primaryTopic of
Powered by OpenLink Virtuoso    This material is Open Knowledge     W3C Semantic Web Technology     This material is Open Knowledge    Valid XHTML + RDFa
This content was extracted from Wikipedia and is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License