"Gauss-Lucas theorem" meaning in English

See Gauss-Lucas theorem in All languages combined, or Wiktionary

Proper name

Forms: the Gauss-Lucas theorem [canonical]
Etymology: Named after Carl Friedrich Gauss and Félix Lucas. Head templates: {{en-proper noun|def=1}} the Gauss-Lucas theorem
  1. (complex analysis) 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. Categories (topical): Complex analysis
    Sense id: en-Gauss-Lucas_theorem-en-name-ck2Riekr Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: complex-analysis, mathematics, sciences
     
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        "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."
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        "(complex analysis) 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."
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        "complex-analysis",
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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