ParametricDerivatives - Maple Help
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ParametricDerivatives

 find the parametric derivatives of a LAVF object

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

ParametricDerivatives( obj)

ParametricDerivatives( obj, order= m .. n)

ParametricDerivatives( obj, order= m)

Parameters

obj

-

a LAVF object

m, n

-

non-negative integers

Description

• 

The ParametricDerivatives method finds the parametric derivatives of a LAVF object. The parametric derivatives are returned as a list of functions.

• 

The method is front-end to the corresponding method of a LHPDE object. That is, let L be a LAVF object and S be its determining system as a LHPDE object (i.e. S = GetDeterminingSystem(L)), then the call ParametricDerivatives(L) is equivalent to ParametricDerivatives(S). All remaining input arguments will be passed down to its determining system S level. See the method ParametricDerivatives of a LHPDE object for more detail.

• 

This method is associated with the LAVF object. For more detail, see Overview of the LAVF object.

Examples

First, construct an indeterminate vector field and a determining system, then construct an LAVF object from them...

(1)

(2)

(3)

Now we can find the parametric derivatives of L...

(4)

(5)

Compatibility

• 

The ParametricDerivatives command was introduced in Maple 2020.

• 

For more information on Maple 2020 changes, see Updates in Maple 2020.

See Also

LAVF (Object overview)

LieAlgebrasOfVectorFields[VectorField]

LieAlgebrasOfVectorFields[LHPDE]

LieAlgebrasOfVectorFields[LAVF]

ParametricDerivatives

 


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