mathlib
b75ec5cf - feat(data/polynomial): Bernstein polynomials (#6465)

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4 years ago
feat(data/polynomial): Bernstein polynomials (#6465) The definition of the Bernstein polynomials `bernstein_polynomial (R : Type*) [ring R] (n ν : ℕ) : polynomial R := (choose n ν) * X^ν * (1 - X)^(n - ν)` and the fact that for `ν : fin (n+1)` these are linearly independent over `ℚ`. (Future work: use these to prove Weierstrass' theorem that polynomials are dense in `C([0,1], ℝ)`. Co-authored-by: Scott Morrison <scott.morrison@gmail.com>
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