Bernstein basis polynomial

Noun

Meaning

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 term of the binomial expansion of



(
t
+
(
1
−
t
)

)

n





{\displaystyle (t+(1-t))^{n}\!}

.

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