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- Gauss–Lucas_theorem abstract "In complex analysis, a branch of mathematics, the Gauss–Lucas theorem gives a geometrical relation between the roots of a polynomial P and the roots of its derivative P'. The set of roots of a real or complex polynomial is a set of points in the complex plane. The theorem states that the roots of P' all lie within the convex hull of the roots of P, that is the smallest convex polygon containing the roots of P. When P has a single root then this convex hull is a single point and when the roots lie on a line then the convex hull is a segment of this line. The Gauss–Lucas theorem, named after Carl Friedrich Gauss and Félix Lucas is similar in spirit to Rolle's theorem.".
- Gauss–Lucas_theorem wikiPageExternalLink LucasGaussTheorem.
- Gauss–Lucas_theorem wikiPageID "9397319".
- Gauss–Lucas_theorem wikiPageLength "5011".
- Gauss–Lucas_theorem wikiPageOutDegree "45".
- Gauss–Lucas_theorem wikiPageRevisionID "673817974".
- Gauss–Lucas_theorem wikiPageWikiLink Average.
- Gauss–Lucas_theorem wikiPageWikiLink Barycenter.
- Gauss–Lucas_theorem wikiPageWikiLink Barycentric_coordinates_(astronomy).
- Gauss–Lucas_theorem wikiPageWikiLink Bxc3xb4chers_theorem.
- Gauss–Lucas_theorem wikiPageWikiLink Carl_Friedrich_Gauss.
- Gauss–Lucas_theorem wikiPageWikiLink Category:Articles_containing_proofs.
- Gauss–Lucas_theorem wikiPageWikiLink Category:Convex_analysis.
- Gauss–Lucas_theorem wikiPageWikiLink Category:Polynomials.
- Gauss–Lucas_theorem wikiPageWikiLink Category:Theorems_in_complex_analysis.
- Gauss–Lucas_theorem wikiPageWikiLink Complex_analysis.
- Gauss–Lucas_theorem wikiPageWikiLink Complex_plane.
- Gauss–Lucas_theorem wikiPageWikiLink Content_(algebra).
- Gauss–Lucas_theorem wikiPageWikiLink Convex_combination.
- Gauss–Lucas_theorem wikiPageWikiLink Convex_hull.
- Gauss–Lucas_theorem wikiPageWikiLink Convex_polygon.
- Gauss–Lucas_theorem wikiPageWikiLink Cubic_function.
- Gauss–Lucas_theorem wikiPageWikiLink Derivative.
- Gauss–Lucas_theorem wikiPageWikiLink Descartes_rule_of_signs.
- Gauss–Lucas_theorem wikiPageWikiLink Félix_Lucas.
- Gauss–Lucas_theorem wikiPageWikiLink Gausss_lemma_(polynomial).
- Gauss–Lucas_theorem wikiPageWikiLink Geometry.
- Gauss–Lucas_theorem wikiPageWikiLink Hurwitzs_theorem_(complex_analysis).
- Gauss–Lucas_theorem wikiPageWikiLink Line_(geometry).
- Gauss–Lucas_theorem wikiPageWikiLink Line_segment.
- Gauss–Lucas_theorem wikiPageWikiLink Logarithmic_derivative.
- Gauss–Lucas_theorem wikiPageWikiLink Mardens_theorem.
- Gauss–Lucas_theorem wikiPageWikiLink Point_(geometry).
- Gauss–Lucas_theorem wikiPageWikiLink Polynomial.
- Gauss–Lucas_theorem wikiPageWikiLink Polynomial_function_theorems_for_zeros.
- Gauss–Lucas_theorem wikiPageWikiLink Properties_of_polynomial_roots.
- Gauss–Lucas_theorem wikiPageWikiLink Quadratic_function.
- Gauss–Lucas_theorem wikiPageWikiLink Quadrilateral.
- Gauss–Lucas_theorem wikiPageWikiLink Quartic_function.
- Gauss–Lucas_theorem wikiPageWikiLink Rational_root_theorem.
- Gauss–Lucas_theorem wikiPageWikiLink Real_number.
- Gauss–Lucas_theorem wikiPageWikiLink Rolles_theorem.
- Gauss–Lucas_theorem wikiPageWikiLink Root_of_a_function.
- Gauss–Lucas_theorem wikiPageWikiLink Rouchxc3xa9s_theorem.
- Gauss–Lucas_theorem wikiPageWikiLink Routh–Hurwitz_theorem.
- Gauss–Lucas_theorem wikiPageWikiLink Second_degree_polynomial.
- Gauss–Lucas_theorem wikiPageWikiLink Sendovs_conjecture.
- Gauss–Lucas_theorem wikiPageWikiLink Steiner_inellipse.
- Gauss–Lucas_theorem wikiPageWikiLink Sturms_theorem.
- Gauss–Lucas_theorem wikiPageWikiLink Wolfram_Demonstrations_Project.
- Gauss–Lucas_theorem wikiPageWikiLink Zero_of_a_function.
- Gauss–Lucas_theorem wikiPageWikiLinkText "Gauss–Lucas theorem".
- Gauss–Lucas_theorem hasPhotoCollection Gauss–Lucas_theorem.
- Gauss–Lucas_theorem wikiPageUsesTemplate Template:Reflist.
- Gauss–Lucas_theorem subject Category:Articles_containing_proofs.
- Gauss–Lucas_theorem subject Category:Convex_analysis.
- Gauss–Lucas_theorem subject Category:Polynomials.
- Gauss–Lucas_theorem subject Category:Theorems_in_complex_analysis.
- Gauss–Lucas_theorem comment "In complex analysis, a branch of mathematics, the Gauss–Lucas theorem gives a geometrical relation between the roots of a polynomial P and the roots of its derivative P'. The set of roots of a real or complex polynomial is a set of points in the complex plane. The theorem states that the roots of P' all lie within the convex hull of the roots of P, that is the smallest convex polygon containing the roots of P.".
- Gauss–Lucas_theorem label "Gauss–Lucas theorem".
- Gauss–Lucas_theorem sameAs Satz_von_Gauß-Lucas.
- Gauss–Lucas_theorem sameAs Teorema_de_Gauss-Lucas.
- Gauss–Lucas_theorem sameAs Théorème_de_Gauss-Lucas.
- Gauss–Lucas_theorem sameAs משפט_גאוס-לוקאס.
- Gauss–Lucas_theorem sameAs Gauss–Lucas-tétel.
- Gauss–Lucas_theorem sameAs 가우스-뤼카_정리.
- Gauss–Lucas_theorem sameAs Stelling_van_Gauss-Lucas.
- Gauss–Lucas_theorem sameAs Twierdzenie_Gaussa-Lucasa.
- Gauss–Lucas_theorem sameAs m.02876j4.
- Gauss–Lucas_theorem sameAs Теорема_Гаусса_—_Люка.
- Gauss–Lucas_theorem sameAs Q1008566.
- Gauss–Lucas_theorem sameAs Q1008566.
- Gauss–Lucas_theorem wasDerivedFrom Gauss–Lucas_theorem?oldid=673817974.
- Gauss–Lucas_theorem isPrimaryTopicOf Gauss–Lucas_theorem.