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 b i , n ( t ) = ( n i ) t i ( 1 − t ) n − i {\displaystyle 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 {\displaystyle (t+(1-t))^{n}\!} . ==== Meronyms ==== binomial coefficient ==== Holonyms ==== Bernstein polynomial ==== See also ==== Beziér curve