Gauss–Lucas theorem

geometric relation between the roots of a polynomial and those of its derivative
Intangible theorem Q1008566
Press Enter · cited answer in seconds

Gauss–Lucas theorem

Summary

Gauss–Lucas theorem is a theorem[1]. It draws 98 Wikipedia views per month (theorem category, ranking #228 of 1,306).[2]

Key Facts

  • Gauss–Lucas theorem's instance of is recorded as theorem[3].
  • Carl Friedrich Gauss is named after Gauss–Lucas theorem[4].
  • Félix Lucas is named after Gauss–Lucas theorem[5].
  • Gauss–Lucas theorem's part of is recorded as list of theorems[6].
  • Gauss–Lucas theorem's Commons category is recorded as Gauss–Lucas theorem[7].
  • Gauss–Lucas theorem's Freebase ID is recorded as /m/02876j4[8].
  • Gauss–Lucas theorem's uses is recorded as fundamental theorem of algebra[9].
  • Gauss–Lucas theorem's statement describes is recorded as zero of a function[10].
  • Gauss–Lucas theorem's studied by is recorded as complex analysis[11].
  • Gauss–Lucas theorem's MathWorld ID is recorded as LucasGaussTheorem[12].
  • Gauss–Lucas theorem's maintained by WikiProject is recorded as WikiProject Mathematics[13].
  • Gauss–Lucas theorem's Microsoft Academic ID is recorded as 22091088[14].

Why It Matters

Gauss–Lucas theorem draws 98 Wikipedia views per month (theorem category, ranking #228 of 1,306).[2] It has Wikipedia articles in 15 language editions, a strong signal of global cultural recognition.[15]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . Freebase Data Dumps. wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [15] . Wikidata sitelinks. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Gauss–Lucas theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/gauss-lucas-theorem
MLA “Gauss–Lucas theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/gauss-lucas-theorem.
BibTeX @misc{4ortxyz_gauss-lucas-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Gauss–Lucas theorem}}, year = {2026}, url = {https://4ort.xyz/entity/gauss-lucas-theorem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Gauss–Lucas theorem — https://4ort.xyz/entity/gauss-lucas-theorem (retrieved 2026-05-03)

Canonical URL: https://4ort.xyz/entity/gauss-lucas-theorem · Last refreshed: