bernstein basis polynomial

Questions

What does bernstein basis polynomial mean?

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!.

Where does bernstein basis polynomial come from?

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

How to pronounce bernstein basis polynomial

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