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MassChangeAfterExponentialEquilibrationForPlaneSheet Class

Describes the mass change of a plane sheet (with given thickness and infinite lateral dimensions) in a diffusion process after a concentration change that is modeled by an exponential equilibration. The diffusion process occurs on both planes of the plane sheet.
Inheritance Hierarchy
SystemObject
  Altaxo.Calc.FitFunctions.DiffusionMassChangeAfterExponentialEquilibrationForPlaneSheet

Namespace: Altaxo.Calc.FitFunctions.Diffusion
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3448.0 (4.8.3448.0)
Syntax
C#
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public class MassChangeAfterExponentialEquilibrationForPlaneSheet : IFitFunction, 
	IImmutable, IFitFunctionWithDerivative, IEquatable<MassChangeAfterExponentialEquilibrationForPlaneSheet>

The MassChangeAfterExponentialEquilibrationForPlaneSheet type exposes the following members.

Constructors
 NameDescription
Public methodMassChangeAfterExponentialEquilibrationForPlaneSheetInitializes a new instance of the MassChangeAfterExponentialEquilibrationForPlaneSheet class
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Properties
 NameDescription
Public propertyHalfThickness Half the thickness of the plane sheet (Default value is 1). Note that the diffusion process occurs on both planes of the plane sheet. The resulting diffusion coefficent is then in units of the square of the thickness unit by the time unit that is used by the fit.
Public propertyNumberOfDependentVariables Number of dependent variables (i.e. y, in Altaxo this is commonly called v (like value)).
Public propertyNumberOfIndependentVariables Number of independent variables (i.e. x).
Public propertyNumberOfParameters Number of parameters of this fit function.
Public propertyThickness Total thickness of the plane sheet (Default value is 2). Note that the diffusion process occurs on both planes of the plane sheet. The resulting diffusion coefficent is then in units of the square of the thickness unit by the time unit that is used by the fit.
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Methods
 NameDescription
Public methodStatic memberCreate Creates the default fit function describing the mass change of a plane sheet after an exponential equilibration concentration change.
Public methodDefaultParameterValue Returns a default parameter value. You must ensure that the fit function would generate values with those default parameters.
Public methodDefaultVarianceScaling Returns the default variance scaling for the dependent variable i.
Public methodDependentVariableName Returns the ith dependent variable name.
Public methodEvaluate(Double, Double, Double) This evaluates a function value.
Public methodEvaluate(IROMatrixDouble, IReadOnlyListDouble, IVectorDouble, IReadOnlyListBoolean) Evaluates the function values at multiple x-points.
Public methodStatic memberEvaluate(Double, Double, Double, Double, Double, Double, Double) Evaluates the response of a concentration step at t0.
Public methodEvaluateDerivative Evaluates the gradient of the function with respect to the parameters.
Public methodStatic memberEvaluateUnitStep Evaluates the response of a unit step (M0 = 0, ΔM = 1) at t0 = 0.
Public methodStatic memberEvaluateUnitStepAndDerivativesWrtReducedVariables Evaluates the response of a unit step in dependence of the reduced variables and returns derivatives.
Public methodStatic memberEvaluateUnitStepWrtReducedVariables Evaluates the response of a unit step in dependence of the reduced variables.
Protected methodFinalizeAllows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection.
(Inherited from Object)
Public methodGetParameterBoundariesHardLimit 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.
Public methodGetParameterBoundariesSoftLimit 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.
Public methodGetTypeGets the Type of the current instance.
(Inherited from Object)
Public methodIndependentVariableName Returns the ith independent variable name.
Protected methodMemberwiseCloneCreates a shallow copy of the current Object.
(Inherited from Object)
Public methodParameterName Returns the ith parameter name.
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Events
 NameDescription
Public eventChanged Occurs when the fit function changed, including number or name of parameters, independent variables, dependent variables, or the scaling.
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See Also