Mathematica > Data Manipulation > Numerical Data > Curve Fitting & Approximate Functions > Splines > BernsteinBasis
Mathematica > Data Manipulation > Statistical Data Analysis > Curve Fitting & Approximate Functions > Splines > BernsteinBasis
Mathematica > Mathematics and Algorithms > Statistical Data Analysis > Curve Fitting & Approximate Functions > Splines > BernsteinBasis
BUILT-IN MATHEMATICA SYMBOL

BernsteinBasis

BernsteinBasis[d, n, x]
represents the n^(th) Bernstein basis function of degree d at x.

DetailsDetails

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • BernsteinBasis is defined for real argument x.
  • BernsteinBasis[d, n, x] equals between and and zero elsewhere.

ExamplesExamplesopen allclose all

Basic Examples (3)Basic Examples (3)

Evaluate a Bernstein basis polynomial numerically:

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The first few polynomials:

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Expand into piecewise functions:

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