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IsSubspace

check if one distribution is contained in another

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

IsSubspace(dist1, dist2)

Parameters

dist1, dist2

-

Distribution objects

Description

• 

The IsSubspace method decides whether Distribution object dist1 specifies a subspace of tangent space which is contained in the subspace specified by Distribution dist2 at each point in space. It returns the values true or false.

• 

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

Examples

withLieAlgebrasOfVectorFields:

Build vector fields...

TVectorFieldDz,space=x,y,z

Tz

(1)

RVectorFieldyDx+xDy,space=x,y,z

Ryx+xy

(2)

Construct the associated distribution...

ΣDistributionT,R

Σyxx+y,z

(3)

GammaDistributionT+R

Γyx+xy+z

(4)

Test containment...

IsSubspaceGamma,Σ

true

(5)

IsSubspaceΣ,Gamma

false

(6)

Compatibility

• 

The IsSubspace 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)