Word Pronunciation & Dictionary

sendov's conjecture

Word Rarity Very rare

Frequency: Zipf frequency 0.00 in modern English

Syllables: sendov's -con-jec-ture
IPA

32

Scrabble Score

17

Letters

4

Syllables

11

Unique Chars

Meaning

name

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.

Etymology

Named after Bulgarian mathematician Blagovest Sendov.

Synonyms

Ilieff's conjecture

Questions

What does sendov's conjecture mean?: 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.
Where does sendov's conjecture come from?: Named after Bulgarian mathematician Blagovest Sendov.

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