Lucas-Gauss theorem

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.creatorTorrence, Bruce-
Data de aceite: dc.date.accessioned2019-08-21T19:16:30Z-
Data de disponibilização: dc.date.available2019-08-21T19:16:30Z-
Data de envio: dc.date.issued2008-10-02-
Data de envio: dc.date.issued2008-
Data de envio: dc.date.issued2008-10-07-
Data de envio: dc.date.issued2008-10-07-
Data de envio: dc.date.issued2008-10-07-
Fonte completa do material: dc.identifierhttp://objetoseducacionais2.mec.gov.br/handle/mec/5974-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/487894-
Descrição: dc.descriptionComplex polynomial roots, devirative-
Descrição: dc.descriptionIn this Demonstration there are eight locators which represent the eight roots of the polynomial f(z)=(z-z1)(z-z2)…(z-z8). The convex hull of these roots is shown. Within, you see the roots of the derivative of f (and those of the higher derivatives).Applying the theorem to each derivative, you ultimately see a nested sequence of polygons: the convex hull of the roots of f, which contains the convex hull of the roots of f´, and so on. The relationship of the roots of a polynomial to the roots of its derivatives is complex, but is easily explored with this demonstration-
Descrição: dc.descriptionComponente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemática-
Idioma: dc.languageen-
Publicador: dc.publisherWolfram Demonstration Project-
Relação: dc.relationLucasGaussTheorem.nbp-
Direitos: dc.rightsDemonstration freeware using Mathematica Player-
???dc.source???: dc.sourcehttp://demonstrations.wolfram.com/LucasGaussTheorem/-
Palavras-chave: dc.subjectEducação Superior::Ciências Exatas e da Terra::Matemática::Álgebra-
Palavras-chave: dc.subjectPolynomial-
Palavras-chave: dc.subjectDerivative-
Título: dc.titleLucas-Gauss theorem-
???dc.description2???: dc.description2The Lucas–Gauss theorem states that the convex hull of the roots of any nonconstant complex polynomial contains the roots of its derivative-
???dc.description3???: dc.description3This demonstration needs the "MathematicaPlayer.exe" to run. Found in http://objetoseducacionais2.mec.gov.br/handle/mec/4737-
Aparece nas coleções:Repositório Institucional - MEC BIOE

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