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DerivedDistribution

find derived distribution of a distribution

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

DerivedDistribution(dist)

Parameters

dist

-

a Distribution object.

Description

• 

The DerivedDistribution method returns a Distribution object spanned by all the commutators of vector fields in dist.

• 

This method is of little interest if the input Distribution dist is involutive, since in that case DerivedDistribution(dist) will simply return dist itself.

• 

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

Examples

withLieAlgebrasOfVectorFields:

Build vector fields...

V1VectorFieldDx,space=x,y,z,w

V1x

(1)

V2VectorFieldDy+xDz+zDw,space=x,y,z,w

V2y+xz+zw

(2)

Construct the associated distribution...

ΣDistributionV1,V2

Σx,yz+xzz+w

(3)

Construct derived distribution...

DerivedDistributionΣ

x,z,yz+w

(4)

IsInvolutiveΣ

false

(5)

Compatibility

• 

The DerivedDistribution command was introduced in Maple 2020.

• 

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

See Also

Distribution (Object overview)

LieAlgebrasOfVectorFields[Distribution]

VectorField (Object overview)

LieAlgebrasOfVectorFields[VectorField]

LieAlgebrasOfVectorFields (Package overview)