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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 wikiPageID "9397319".
- Gauss–Lucas_theorem wikiPageRevisionID "587427541".
- Gauss–Lucas_theorem subject Category:Articles_containing_proofs.
- Gauss–Lucas_theorem subject Category:Convex_analysis.
- 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 label "Satz von Gauß-Lucas".
- Gauss–Lucas_theorem label "Stelling van Gauss-Lucas".
- Gauss–Lucas_theorem label "Teorema de Gauss-Lucas".
- Gauss–Lucas_theorem label "Théorème de Gauss-Lucas".
- Gauss–Lucas_theorem label "Twierdzenie Gaussa-Lucasa".
- Gauss–Lucas_theorem label "Теорема Гаусса — Люка".
- Gauss–Lucas_theorem sameAs Gauss%E2%80%93Lucas_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 가우스-뤼카_정리.
- Gauss–Lucas_theorem sameAs Stelling_van_Gauss-Lucas.
- Gauss–Lucas_theorem sameAs Twierdzenie_Gaussa-Lucasa.
- Gauss–Lucas_theorem sameAs Q1008566.
- Gauss–Lucas_theorem sameAs Q1008566.
- Gauss–Lucas_theorem wasDerivedFrom Gauss–Lucas_theorem?oldid=587427541.