English Dictionary

Bernstein basis polynomial

noun

(mathematical analysis, 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!.

The Bernstein basis polynomials are widely used in mathematical analysis.

意味（1）

(mathematical analysis, 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!.