PolynomialCoef (FSharp.Stats)

PolynomialCoef Type

Namespace: FSharp.Stats
Assembly: FSharp.Stats.dll
Parent Module: Polynomial
Base Type: obj
All Interfaces: IEquatable<PolynomialCoef> , IStructuralEquatable , IComparable<PolynomialCoef> , IComparable , IStructuralComparable

contains polynomial coefficients sorted from intercept to highest order factor

Record fields

Record Field	Description
`C0_CX` Full Usage: `C0_CX` Field type: `Vector<float>`	vector of polynomial coefficients sorted as [constant;linear;quadratic;...] Field type: `Vector<float>`

Instance members

Instance member	Description
`this.Differentiate` Full Usage: `this.Differentiate` Parameters: level : `int` - Level of differentiation: 1 = fst derivative, 2 = snd derivative, ... . Returns: `PolynomialCoef` Coefficients of the derivative polynomial	Determines the coefficients of the derivative of the given polynomial. Level 1 = fst derivative, level 2 = snd derivative, ... . The resulting polynomial is `level` degrees lower than the original polynomial. level : `int` Level of differentiation: 1 = fst derivative, 2 = snd derivative, ... . Returns: `PolynomialCoef` Coefficients of the derivative polynomial Example `// e.g. days since a certain event let xData = vector [\|1.;2.;3.;4.;5.;6.\|] // e.g. temperature measured at noon of the days specified in xData let yData = vector [\|4.;7.;9.;8.;7.;9.;\|] // Estimate the polynomial coefficients. In Interpolation the order is equal to the data length - 1. let coefficients = Interpolation.Polynomial.coefficients xData yData // Get curvature function coefficients. Interpolation.Polynomial.Differentiate 2` val xData: obj val yData: obj val coefficients: obj
`this.GetDerivative` Full Usage: `this.GetDerivative` Parameters: level : `int` - depth of derivative: 1 = slope, 2 = curvature, ... x : `float` - x value of which the corresponding y value should be predicted Returns: `float` predicted derivative with given polynomial coefficients at X=x	calculates derivative values at X=x with given polynomial coefficients. Level 1 = fst derivative; Level2 = snd derivative ... level : `int` depth of derivative: 1 = slope, 2 = curvature, ... x : `float` x value of which the corresponding y value should be predicted Returns: `float` predicted derivative with given polynomial coefficients at X=x Example `// e.g. days since a certain event let xData = vector [\|1.;2.;3.;4.;5.;6.\|] // e.g. temperature measured at noon of the days specified in xData let yData = vector [\|4.;7.;9.;8.;7.;9.;\|] // Estimate the polynomial coefficients. In Interpolation the order is equal to the data length - 1. let coefficients = Interpolation.Polynomial.coefficients xData yData // Predict the curvature of the interpolating function at midnight between day 1 and 2. Interpolation.Polynomial.GetDerivative 2 1.5` val xData: obj val yData: obj val coefficients: obj
`this.GetIntegralBetween` Full Usage: `this.GetIntegralBetween` Parameters: x1 : `float` - start x value x2 : `float` - end x value Returns: `float` integral of the polynomial in the range defined by x1 and x2	calculates the area under the curve from x=x1 to x=x2 with given polynomial coefficients. x1 : `float` start x value x2 : `float` end x value Returns: `float` integral of the polynomial in the range defined by x1 and x2 Example `// e.g. days since a certain event let xData = vector [\|1.;2.;3.;4.;5.;6.\|] // e.g. temperature measured at noon of the days specified in xData let yData = vector [\|4.;7.;9.;8.;7.;9.;\|] // Estimate the polynomial coefficients. In Interpolation the order is equal to the data length - 1. let coefficients = Interpolation.Polynomial.coefficients xData yData // Get area under the curve between x=0 and x=2. Interpolation.Polynomial.GetIntegralBetween 0. 2.` val xData: obj val yData: obj val coefficients: obj
`this.Integrate` Full Usage: `this.Integrate` Returns: `PolynomialCoef` Coefficients of the integral polynomial	Determines the coefficients of the integral of the given polynomial. The resulting polynomial is one degree higher than the original polynomial. Returns: `PolynomialCoef` Coefficients of the integral polynomial Example `// e.g. days since a certain event let xData = vector [\|1.;2.;3.;4.;5.;6.\|] // e.g. temperature measured at noon of the days specified in xData let yData = vector [\|4.;7.;9.;8.;7.;9.;\|] // Estimate the polynomial coefficients. In Interpolation the order is equal to the data length - 1. let coefficients = Interpolation.Polynomial.coefficients xData yData // Get integral function coefficients. Interpolation.Polynomial.Integrate()` val xData: obj val yData: obj val coefficients: obj
`this.Predict` Full Usage: `this.Predict` Returns: `float -> float` predicted y value with given polynomial coefficients at X=x	takes x value to predict the corresponding interpolating y value Returns: `float -> float` predicted y value with given polynomial coefficients at X=x Example `// e.g. days since a certain event let xData = vector [\|1.;2.;3.;4.;5.;6.\|] // e.g. temperature measured at noon of the days specified in xData let yData = vector [\|4.;7.;9.;8.;7.;9.;\|] // Estimate the polynomial coefficients. In Interpolation the order is equal to the data length - 1. let coefficients = Interpolation.Polynomial.coefficients xData yData // Predict the temperature value at midnight between day 1 and 2. coefficients.Predict 1.5` val xData: obj val yData: obj val coefficients: obj

Static members

Static member Description

Static member	Description
`PolynomialCoef.Create(c)` Full Usage: `PolynomialCoef.Create(c)` Parameters: c : `Vector<float>` Returns: `PolynomialCoef`	c : `Vector<float>` Returns: `PolynomialCoef`


                
                  
                    
                      PolynomialCoef.Create(c)

Full Usage: PolynomialCoef.Create(c)

Parameters:

c : Vector<float>

Returns: PolynomialCoef

c : Vector<float>

Returns: PolynomialCoef

PolynomialCoef Type

Record fields

Instance members

Example

Example

Example

Example

Example

Static members