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Sendov's conjecture

Sendov's conjecture proper noun: a conjecture concerning the relationship between the locations of roots and critical points of a polynomial function of a complex variable. It states that for a polynomial f(z)=(z-r_1)⋯(z-r_n), qquad (n>2) with all roots r₁, ..., rₙ inside the closed unit disk |z| ≤ 1, each of the n roots is at a distance no more than 1 from at least one critical point.

Proper noun

Sendov's conjecture

  1. A conjecture concerning the relationship between the locations of roots and critical points of a polynomial function of a complex variable. It states that for a polynomial f(z)=(z-r_1)⋯(z-r_n), qquad (n>2) with all roots r₁, ..., rₙ inside the closed unit disk |z| ≤ 1, each of the n roots is at a distance no more than 1 from at least one critical point.

Synonyms of Sendov's conjecture

Origin of Sendov's conjecture

Named after Bulgarian mathematician Blagovest Sendov.

Questions about Sendov's conjecture

What does Sendov's conjecture mean?
Sendov's conjecture means a conjecture concerning the relationship between the locations of roots and critical points of a polynomial function of a complex variable. It states that for a polynomial f(z)=(z-r_1)⋯(z-r_n), qquad (n>2) with all roots r₁, ..., rₙ inside the closed unit disk |z| ≤ 1, each of the n roots is at a distance no more than 1 from at least one critical point.
What part of speech is Sendov's conjecture?
Sendov's conjecture is a proper noun.

Words near Sendov's conjecture in the dictionary

  1. sendings-off
  2. sendling
  3. sendlings
  4. sendoff
  5. sendoffs
  6. Sendov's conjecture
  7. Sendra
  8. sends
  9. sends a boy to do a man's job
  10. sends a message
  11. sends a shiver down someone's spine

Source and license

Adapted from Wiktionary: Sendov's conjecture (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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