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Bernstein basis polynomial

Bernstein basis polynomial noun: any polynomial of the form b_i,n(t)=n choose itⁱ(1-t)ⁿ⁻ⁱ!!, being the iᵗʰ term of the binomial expansion of (t+(1-t))ⁿ!.

Noun

Bernstein basis polynomial (plural Bernstein basis polynomials)

  1. (numerical analysis) Any polynomial of the form b_i,n(t)=n choose itⁱ(1-t)ⁿ⁻ⁱ!!, being the iᵗʰ term of the binomial expansion of (t+(1-t))ⁿ!.

Forms of Bernstein basis polynomial

pluralBernstein basis polynomials

Origin of Bernstein basis polynomial

Named after Sergei Natanovich Bernstein (1880–1968), a Russian and Soviet mathematician of Jewish origin.

Questions about Bernstein basis polynomial

What does Bernstein basis polynomial mean?
Bernstein basis polynomial means any polynomial of the form b_i,n(t)=n choose itⁱ(1-t)ⁿ⁻ⁱ!!, being the iᵗʰ term of the binomial expansion of (t+(1-t))ⁿ!.
What part of speech is Bernstein basis polynomial?
Bernstein basis polynomial is a noun.
What is the plural of Bernstein basis polynomial?
The plural of Bernstein basis polynomial is Bernstein basis polynomials.

Words near Bernstein basis polynomial in the dictionary

  1. Bernsdorf
  2. Bernses
  3. Bernskoetter
  4. Bernskoetters
  5. Bernstein
  6. Bernstein basis polynomial
  7. Bernstein basis polynomials
  8. Bernstein polynomial
  9. Bernstein polynomials
  10. Bernsteinian
  11. Berntson

Source and license

Adapted from Wiktionary: Bernstein basis polynomial (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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