Approximation (FSharp.Stats)

Approximation Type

Namespace: FSharp.Stats
Assembly: FSharp.Stats.dll
Parent Module: Interpolation
Base Type: obj

Constructors

Constructor	Description
`Approximation()` Full Usage: `Approximation()` Returns: `Approximation`	Returns: `Approximation`

Static members

Static member Description

Static member	Description
`Approximation.approxWithPolynomial (f, i, n, spacing)` Full Usage: `Approximation.approxWithPolynomial (f, i, n, spacing)` Parameters: f : `float -> float` - Function that should be approximated by a polynomial interpolating function. i : `Interval<float>` - Interval for which the function should be approximated n : `int` - number of points that should be placed within the interval (incl. start and end) spacing : `Spacing` - X values can be spaced equally or according to chebyshev. Returns: `PolynomialCoef` Coefficients for polynomial interpolation. Use Polynomial.fit to predict function values.	Determines polynomial coefficients to approximate the given function with (i) n equally spaced nodes or (ii) n nodes spaced according to Chebyshev. Use Polynomial.fit to get a polynomial function of the coefficients. f : `float -> float` Function that should be approximated by a polynomial interpolating function. i : `Interval<float>` Interval for which the function should be approximated n : `int` number of points that should be placed within the interval (incl. start and end) spacing : `Spacing` X values can be spaced equally or according to chebyshev. Returns: `PolynomialCoef` Coefficients for polynomial interpolation. Use Polynomial.fit to predict function values.
`Approximation.approxWithPolynomialFromValues (xData, yData, n, spacing)` Full Usage: `Approximation.approxWithPolynomialFromValues (xData, yData, n, spacing)` Parameters: xData : `seq<float>` - Note: Must not contain duplicate x values (use Approximation.regularizeValues to preprocess data!) yData : `seq<float>` - vector of y values n : `int` - number of points that should be placed within the interval (incl. start and end) spacing : `Spacing` - X values can be spaced equally or according to chebyshev. Returns: `PolynomialCoef` Coefficients for polynomial interpolation. Use Polynomial.fit to predict function values.	Determines polynomial coefficients to approximate the given data with (i) n equally spaced nodes or (ii) n nodes spaced according to Chebyshev. Use Polynomial.fit to get a polynomial function of the coefficients. xData : `seq<float>` Note: Must not contain duplicate x values (use Approximation.regularizeValues to preprocess data!) yData : `seq<float>` vector of y values n : `int` number of points that should be placed within the interval (incl. start and end) spacing : `Spacing` X values can be spaced equally or according to chebyshev. Returns: `PolynomialCoef` Coefficients for polynomial interpolation. Use Polynomial.fit to predict function values.


                
                  
                    
                      Approximation.approxWithPolynomial (f, i, n, spacing)

Full Usage: Approximation.approxWithPolynomial (f, i, n, spacing)

Parameters:

f : float -> float - Function that should be approximated by a polynomial interpolating function.

i : Interval<float> - Interval for which the function should be approximated

n : int - number of points that should be placed within the interval (incl. start and end)

spacing : Spacing - X values can be spaced equally or according to chebyshev.

Returns: PolynomialCoef Coefficients for polynomial interpolation. Use Polynomial.fit to predict function values.

Determines polynomial coefficients to approximate the given function with (i) n equally spaced nodes or (ii) n nodes spaced according to Chebyshev. Use Polynomial.fit to get a polynomial function of the coefficients.

f : float -> float: Function that should be approximated by a polynomial interpolating function.
i : Interval<float>: Interval for which the function should be approximated
n : int: number of points that should be placed within the interval (incl. start and end)
spacing : Spacing: X values can be spaced equally or according to chebyshev.

Returns: PolynomialCoef: Coefficients for polynomial interpolation. Use Polynomial.fit to predict function values.


                
                  
                    
                      Approximation.approxWithPolynomialFromValues (xData, yData, n, spacing)

Full Usage: Approximation.approxWithPolynomialFromValues (xData, yData, n, spacing)

Parameters:

xData : seq<float> - Note: Must not contain duplicate x values (use Approximation.regularizeValues to preprocess data!)

yData : seq<float> - vector of y values

n : int - number of points that should be placed within the interval (incl. start and end)

spacing : Spacing - X values can be spaced equally or according to chebyshev.

Returns: PolynomialCoef Coefficients for polynomial interpolation. Use Polynomial.fit to predict function values.

Determines polynomial coefficients to approximate the given data with (i) n equally spaced nodes or (ii) n nodes spaced according to Chebyshev. Use Polynomial.fit to get a polynomial function of the coefficients.

xData : seq<float>: Note: Must not contain duplicate x values (use Approximation.regularizeValues to preprocess data!)
yData : seq<float>: vector of y values
n : int: number of points that should be placed within the interval (incl. start and end)
spacing : Spacing: X values can be spaced equally or according to chebyshev.

Returns: PolynomialCoef: Coefficients for polynomial interpolation. Use Polynomial.fit to predict function values.