BernsteinBasis
Bernstein basis function of degree 
BernsteinBasis
BernsteinBasis[d,n,x]
represents the n
Bernstein basis function of degree d at x.
Details
- 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.
Examples
Basic Examples (3)
Evaluate a Bernstein basis polynomial numerically:
BernsteinBasis[4, 3, 0.5]Plot[BernsteinBasis[4, 3, x], {x, 0, 1}]Plot[Evaluate[Table[BernsteinBasis[3, k, x], {k, 0, 3}]], {x, 0, 1}]Expand into piecewise functions:
Table[PiecewiseExpand@BernsteinBasis[3, k, x], {k, 0, 3}]
Wolfram Research (2008), BernsteinBasis, Wolfram Language function, https://reference.wolfram.com/language/ref/BernsteinBasis.html.
Text
Wolfram Research (2008), BernsteinBasis, Wolfram Language function, https://reference.wolfram.com/language/ref/BernsteinBasis.html.
CMS
Wolfram Language. 2008. "BernsteinBasis." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/BernsteinBasis.html.
APA
Wolfram Language. (2008). BernsteinBasis. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/BernsteinBasis.html