# BernsteinBasisFunction class

Namespace: [Grasshopper2.Types.Functions.Standard](https://developer.rhino3d.com/api/gh2/namespace/grasshopper2.types.functions.standard.md) · Assembly: [Grasshopper2](https://developer.rhino3d.com/api/gh2/assembly/grasshopper2.md)

```cs
[IoId("00000000-ef20-42ee-93e8-25430faefdf0")]
public class BernsteinBasisFunction : FunctionWithCaching
```

Represents an immutable bernstein polynomial basis function on the unit domain.

## Constructors

- [BernsteinBasisFunction](https://developer.rhino3d.com/api/gh2/type/grasshopper2.types.functions.standard.bernsteinbasisfunction/ctor.md): (3 overloads)

## Properties

- [Coefficient](https://developer.rhino3d.com/api/gh2/type/grasshopper2.types.functions.standard.bernsteinbasisfunction/coefficient.md): Gets the coefficient (Degree choose Index).
- [Degree](https://developer.rhino3d.com/api/gh2/type/grasshopper2.types.functions.standard.bernsteinbasisfunction/degree.md): Degree of curve.
- [Index](https://developer.rhino3d.com/api/gh2/type/grasshopper2.types.functions.standard.bernsteinbasisfunction/index.md): Index of polynomial.
- [Notation](https://developer.rhino3d.com/api/gh2/type/grasshopper2.types.functions.standard.bernsteinbasisfunction/notation.md)
- [Ui](https://developer.rhino3d.com/api/gh2/type/grasshopper2.types.functions.standard.bernsteinbasisfunction/ui.md)

## Methods

- [DomainEstimate](https://developer.rhino3d.com/api/gh2/type/grasshopper2.types.functions.standard.bernsteinbasisfunction/domainestimate.md)
- [EmitDerivative](https://developer.rhino3d.com/api/gh2/type/grasshopper2.types.functions.standard.bernsteinbasisfunction/emitderivative.md)
- [EmitIntegral](https://developer.rhino3d.com/api/gh2/type/grasshopper2.types.functions.standard.bernsteinbasisfunction/emitintegral.md)
- [Y](https://developer.rhino3d.com/api/gh2/type/grasshopper2.types.functions.standard.bernsteinbasisfunction/y.md)

## Inherited Members

- From [FunctionWithCaching](https://developer.rhino3d.com/api/gh2/type/grasshopper2.types.functions.functionwithcaching.md): [Derivative](https://developer.rhino3d.com/api/gh2/type/grasshopper2.types.functions.functionwithcaching/derivative.md), [Integral](https://developer.rhino3d.com/api/gh2/type/grasshopper2.types.functions.functionwithcaching/integral.md), [Nomen](https://developer.rhino3d.com/api/gh2/type/grasshopper2.types.functions.functionwithcaching/nomen.md), [Store](https://developer.rhino3d.com/api/gh2/type/grasshopper2.types.functions.functionwithcaching/store.md)
- From [Function](https://developer.rhino3d.com/api/gh2/type/grasshopper2.types.functions.function.md): [Asymptotes](https://developer.rhino3d.com/api/gh2/type/grasshopper2.types.functions.function/asymptotes.md), [AutoCoDomain](https://developer.rhino3d.com/api/gh2/type/grasshopper2.types.functions.function/autocodomain.md), [Holes](https://developer.rhino3d.com/api/gh2/type/grasshopper2.types.functions.function/holes.md), [Integrate](https://developer.rhino3d.com/api/gh2/type/grasshopper2.types.functions.function/integrate.md), [Poles](https://developer.rhino3d.com/api/gh2/type/grasshopper2.types.functions.function/poles.md), [YYYY](https://developer.rhino3d.com/api/gh2/type/grasshopper2.types.functions.function/yyyy.md)