IsSubspace - Maple Help
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IsSubspace

 check if solution space of a LHPDE object is subspace of solution space of another LHPDE object.

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

IsSubspace( obj1, obj2)

Parameters

obj1

-

a LHPDE object that is assumed to be in rif-reduced form (see IsRifReduced)

obj2

-

a LHPDE object

Description

• 

The IsSubspace method returns true if solution space of obj1 is a subspace of solution space of obj2. False otherwise.

• 

More precisely, the method returns true if at each point [Math Processing Error], the local solution space of obj1  at [Math Processing Error] is a subspace of the local solution space of obj2 at [Math Processing Error].

• 

The input arguments obj1 and obj2 need not have the same dependent variable names or dependencies.

• 

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

Examples

[Math Processing Error]

[Math Processing Error]

[Math Processing Error]

(1)

[Math Processing Error]

[Math Processing Error]

(2)

[Math Processing Error]

[Math Processing Error]

(3)

This LHPDE object's dependent variables have different names and dependencies.

[Math Processing Error]

[Math Processing Error]

(4)

[Math Processing Error]

[Math Processing Error]

(5)

Compatibility

• 

The IsSubspace command was introduced in Maple 2020.

• 

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

See Also

LHPDE (Object overview)

LieAlgebrasOfVectorFields[LHPDE]

IsRifReduced

 


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