| 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) |
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http://jeff560.tripod.com/c.html https://books.google.com/books%3Fid=Az5tAAAAMAAJ |
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30084691 (xsd:integer) |
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| dbo:wikiPageWikiLink |
dbr:American_Journal_of_Mathematics dbr:Invariant_of_a_binary_form dbc:Invariant_theory dbr:Square_matrix dbr:Hankel_matrix dbr:Invariant_theory dbr:Polynomial dbr:Catalectic dbr:Springer-Verlag |
| 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) |
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30.0 |
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dbt:Citation dbt:Harv dbt:Harvtxt dbt:Quotebox dbt:Short_description |
| dcterms:subject |
dbc:Invariant_theory |
| gold:hypernym |
dbr:Polynomial |
| 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 |
freebase:Catalecticant wikidata:Catalecticant https://global.dbpedia.org/id/4gJqR |
| prov:wasDerivedFrom |
wikipedia-en:Catalecticant?oldid=1100328498&ns=0 |
| foaf:isPrimaryTopicOf |
wikipedia-en:Catalecticant |
| is dbo:wikiPageRedirects of |
dbr:Catalecticant_matrix dbr:Meicatalecticizant |
| is dbo:wikiPageWikiLink of |
dbr:Invariant_of_a_binary_form dbr:Glossary_of_classical_algebraic_geometry dbr:Glossary_of_invariant_theory dbr:Hankel_matrix dbr:James_Joseph_Sylvester dbr:Canonizant dbr:Catalecticant_matrix dbr:Meicatalecticizant |
| is foaf:primaryTopic of |
wikipedia-en:Catalecticant |