Bernstein basis polynomial

English

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

Bernstein basis polynomial (plural Bernstein basis polynomials)

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

单词	Bernstein basis polynomial
释义	Bernstein basis polynomial 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 ${\\displaystyle b_{i,n}(t)={n \\choose i}t^{i}(1-t)^{n-i}\\!\\!}$ , being the i^th term of the binomial expansion of ${\\displaystyle (t+(1-t))^{n}\\!}$ . Meronyms binomial coefficient Holonyms Bernstein polynomial See also Beziér curve
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