MassBasedFloryDistributionWithFixedGaussianBroadening Class

Mass based Flory distribution based on the decadic logarithm of the molecular weight. It designates the mass based distribution of the molecular weight after a polymerization reaction. The two parameters are the area A and the probability for a terminal reaction tau. The Flory distribution is broadened by a Gaussian function, whose sigma is not a parameter, but is dependent on the independent variable (molecular weight). The dependency of sigma is a polynomial function of the decadic logarithm of the molecular weight with fixed polynomial coefficients.

Inheritance Hierarchy

SystemObject
Altaxo.Calc.FitFunctions.ChemistryMassBasedFloryDistributionWithFixedGaussianBroadening

Namespace: Altaxo.Calc.FitFunctions.Chemistry
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3448.0 (4.8.3448.0)

Syntax

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public class MassBasedFloryDistributionWithFixedGaussianBroadening : IFitFunctionWithDerivative, 
	IFitFunction, IFitFunctionPeak, IImmutable, IEquatable<MassBasedFloryDistributionWithFixedGaussianBroadening>

The MassBasedFloryDistributionWithFixedGaussianBroadening type exposes the following members.

Constructors

	Name	Description
	MassBasedFloryDistributionWithFixedGaussianBroadening	Initializes a new instance of the MassBasedFloryDistributionWithFixedGaussianBroadening class with default values.
	MassBasedFloryDistributionWithFixedGaussianBroadening(Int32, Int32)	Initializes a new instance of the MassBasedFloryDistributionWithFixedGaussianBroadening class with the specified number of terms and order of background polynomial.

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Properties

	Name	Description
	Accuracy	Gets the accuracy of the evaluation of the fit function. Standard is 1e-3.
	IndependentVariableIsDecadicLogarithm	If false, the independent variable is the molecular weight M. If true, the independent variable is log10(M). The default value is true.
	MolecularWeightOfMonomerUnit	Gets the molecular weight of the monomer unit.
	NumberOfDependentVariables	Number of dependent variables (i.e. y, in Altaxo this is commonly called v (like value)).
	NumberOfIndependentVariables	Number of independent variables (i.e. x).
	NumberOfParameters	Number of parameters of this fit function.
	NumberOfTerms	Gets or sets the number of peak terms.
	OrderOfBaselinePolynomial	Gets or sets the order of the baseline polynomial.
	ParameterNamesForOnePeak	Gets the parameter names for one peak.
	PolynomialCoefficientsForSigma	Gets the polynomial coefficients for sigma. The polynomial is evaluated in the decadic logarithm of the molecular weight.

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Methods

	Name	Description
	Create_1_M1	Creates a new instance of the fit function with one term and no baseline.
	DefaultParameterValue	Returns a default parameter value. You must ensure that the fit function would generate values with those default parameters.
	DefaultVarianceScaling	Returns the default variance scaling for the dependent variable i.
	DependentVariableName	Returns the ith dependent variable name.
	Evaluate(Double, Double, Double)	This evaluates a function value.
	Evaluate(IROMatrixDouble, IReadOnlyListDouble, IVectorDouble, IReadOnlyListBoolean)	Evaluates the function values at multiple x-points.
	EvaluateDerivative	Evaluates the gradient of the function with respect to the parameters.
	Finalize	Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object)
	GetInitialParametersFromHeightPositionAndWidthAtRelativeHeight	Gets the initial parameters for one term (peak) by providing the height of the peak, the position of the peak, the width of the peak, and the relative height at which the width was measured.
	GetMSigmaLog10Delta	Enumerates the molecular weights, sigmas, and log10 deltas for the Gaussian broadening.
	GetNAndRelativeSigmaEnd	Calculates the number of points and the relative sigma end for a given molecular weight.
	GetParameterBoundariesForPositivePeaks	Gets the parameter boundaries in order to have positive peaks only.
	GetParameterBoundariesHardLimit	Gets the parameter boundaries that are really a hard limit, i.e. outside those limits, the function would probably evaluate NaN values, or makes no sense.
	GetParameterBoundariesSoftLimit	Gets the intended parameter boundaries. This are soft limits, boundaries so that the intended purpose of the fit function is fullfilled. Example: in the exponential decay Exp(-a*t) a is intended to be positive. This is a soft limit, and not a hard limit, because a could be also negative, and the fit nevertheless would succeed.
	GetPositionAreaHeightFWHMFromSinglePeakParameters(IReadOnlyListDouble)	Gets the position, the area under the peak, the height, and the Full Width Half Maximum (FWHM) from the parameters of a single peak.
	GetPositionAreaHeightFWHMFromSinglePeakParameters(IReadOnlyListDouble, IROMatrixDouble)	Gets the position, the area under the peak, the height, and the Full Width Half Maximum (FWHM) from the parameters of a single peak. If the covariance matrix is given, then also the standard deviations of position, area, height, FWHM are calculated (otherwise, zero values are returned for the standard deviations).
	GetType	Gets the Type of the current instance. (Inherited from Object)
	GetYOfOneTerm	Evaluates the mass based Flory distribution in dependency of the molecular mass M. ATTENTION: the first argument is always M, not log10(M)!
	IndependentVariableName	Returns the ith independent variable name.
	MemberwiseClone	Creates a shallow copy of the current Object. (Inherited from Object)
	ParameterName	Returns the ith parameter name.
	ToString	Returns a string that represents the current object. (Overrides ObjectToString)

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Events

	Name	Description
	Changed	Occurs when the fit function changed, including number or name of parameters, independent variables, dependent variables, or the scaling.

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Reference

Altaxo.Calc.FitFunctions.Chemistry Namespace