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Gauss-Lucas theorem

Gauss-Lucas theorem proper noun: a theorem that gives a geometric relation between the roots of a polynomial P and the roots of its derivative P′. It states that the roots of P′ all lie within the convex hull of the roots of P.

Proper noun

the Gauss-Lucas theorem

  1. A theorem that gives a geometric relation between the roots of a polynomial P and the roots of its derivative P′. It states that the roots of P′ all lie within the convex hull of the roots of P.

Origin of Gauss-Lucas theorem

Named after Carl Friedrich Gauss and Félix Lucas.

Questions about Gauss-Lucas theorem

What does Gauss-Lucas theorem mean?
Gauss-Lucas theorem means a theorem that gives a geometric relation between the roots of a polynomial P and the roots of its derivative P′. It states that the roots of P′ all lie within the convex hull of the roots of P.
What part of speech is Gauss-Lucas theorem?
Gauss-Lucas theorem is a proper noun.

Words near Gauss-Lucas theorem in the dictionary

  1. Gauss-Bonnet theorem
  2. Gauss-Codazzi equation
  3. Gauss-Codazzi equations
  4. Gauss-Jordan elimination
  5. Gauss-Jordan eliminations
  6. Gauss-Lucas theorem
  7. Gauss-Seidel method
  8. gaussage
  9. gaussages
  10. Gaussberg
  11. gaussbergite

Source and license

Adapted from Wiktionary: Gauss-Lucas theorem (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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