Gauss–Lucas theorem
geometric relation between the roots of a polynomial and those of its derivative
Facts
7 properties- Instance of
- theorem
- Part of
- list of theorems[4]
- Maintained by WikiProject
- WikiProject Mathematics[8]
- Named after
- Carl Friedrich Gauss, Félix Lucas[2][3]
- Statement describes
- zero of a function[6]
- Studied by
- complex analysis[7]
🏷️ Also known as
en Gauss–Lucas theorem
ar مبرهنة غاوس–لوكاس
de Satz von Gauß-Lucas
es teorema de Gauss-Lucas
fr théorème de Gauss-Lucas
he משפט גאוס-לוקאס
hu Gauss–Lucas-tétel
it teorema di Gauss-Lucas
ja ガウス＝ルーカス定理
ja ガウス・リュカの定理
ja ガウス・ルーカスの定理
ko 가우스-뤼카 정리
nl Stelling van Gauss-Lucas
pl Twierdzenie Gaussa-Lucasa
pt teorema de Gauss–Lucas
ro teorema Gauss–Lucas
ru Теорема Гаусса — Лукаса
tr Gauss-Lucas teoremi
uk Теорема Гауса — Люка
zh 高斯-卢卡斯定理
🔖 Identifiers · 3
- Freebase ID
- /m/02876j4
- MathWorld ID
- LucasGaussTheorem
- Microsoft Academic ID (discontinued)
- 22091088
🔗 Connections
Instance of 1
Maintained by WikiProject 1
Named after 1
Part of 1
Statement describes 1
Studied by 1
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Summary
Gauss–Lucas theorem is a theorem[1].