Mass |
Describes the mass change of a sphere (with given radius) in a diffusion process after a concentration step change.
Inheritance HierarchyNamespace: Altaxo.Calc.FitFunctions.Diffusion
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3448.0 (4.8.3448.0)
SyntaxC#
public class MassChangeAfterStepForSphere : IFitFunction, IFitFunctionWithDerivative, IImmutable, IEquatable<MassChangeAfterStepForSphere>
The MassChangeAfterStepForSphere type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | MassChangeAfterStepForSphere | Initializes a new instance of the MassChangeAfterStepForSphere class |
Properties| Name | Description | |
|---|---|---|
 | Diameter | Diameter of the sphere. The default value is 2. The resulting diffusion coefficent is then in units of the square of the diameter unit by the time unit that is used by the fit. |
| 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. |
| Radius | Radius of the sphere. The default value is 1. The resulting diffusion coefficent is then in units of the square of the radius unit by the time unit that is used by the fit. |
Methods| Name | Description | |
|---|---|---|
 | Create | Creates the default fit function describing the mass change of a sphere after a concentration step. |
| 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. |
| Evaluate(Double, Double, Double, Double, Double, Double) | Evaluates the mass change for the given time and parameters: M(t) = M0 + ΔM * unitstep(D*(t - t0)/d^2) |
| EvaluateDerivative | Evaluates the gradient of the function with respect to the parameters. |
| EvaluateUnitStep | Evaluates the response of a unit step (M0 = 0, ΔM = 1) at t0 = 0. |
| EvaluateUnitStepAndDerivativesWrtReducedVariable | Evaluates the response of a unit step in dependence of the reduced variables. |
| EvaluateUnitStepWrtReducedVariable | Evaluates the response of a unit step in dependence of the reduced variable. |
 | Finalize | Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object) |
| 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. |
| GetType | Gets the Type of the current instance. (Inherited from Object) |
| 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. |
Events| Name | Description | |
|---|---|---|
 | Changed | Occurs when the fit function changed, including number or name of parameters, independent variables, dependent variables, or the scaling. |
Remarks
Ref: Crank, "The Mathematics of Diffusion", 2nd edition, 1975, Oxford University Press.
See Also