Bernstein basis polynomial

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English

Etymology

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

Noun

Bernstein basis polynomial (plural Bernstein basis polynomials)

(mathematical analysis, numerical analysis) Any polynomial of the form $b_{i,n}(t)={n \choose i}t^{i}(1-t)^{n-i}\!\!$ , being the i^th term of the binomial expansion of $(t+(1-t))^{n}\!$ .

Meronyms

binomial coefficient

Holonyms

Bernstein polynomial

See also

Beziér curve

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