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GetDependentsCount

get the number of elements that a LHPDO object operates on

GetDependencies

get the dependencies of elements that a LHPDO object may operate on

GetSystemCount

get the number of elements returned by a LHPDO object

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

GetDependentsCount( obj)

GetDependencies( obj)

GetSystemCount( obj)

Parameters

obj

-

a LHPDO object

Description

• 

An LHPDO object Δ is an appliable operator. If it acts on a list containing m elements and returns a list containing s elements, then GetDependentsCount(Delta) returns m and GetSystemCount(Delta) returns  s.

• 

The m elements acted on by LHPDO Delta may have dependency restrictions.  These restrictions can be retrieved by the call GetDependencies(Delta).

• 

These methods are associated with the LHPDO object. For more detail, see Overview of the LHPDO object.

Examples

withLieAlgebrasOfVectorFields:

ΔLHPDOdiffξx,y,y,y=0,diffηx,y,x=diffξx,y,y,diffηx,y,y=0,diffξx,y,x=0

Δη,ξ→yyξ,xη+yξ,yη,xξ

(1)

The operator Delta takes in a list of 2 elements and returns a list of 4 elements...

GetDependentsCountΔ

2

(2)

GetSystemCountΔ

4

(3)

The arguments of Delta here may both depend on (x,y) ...

GetDependenciesΔ

x,y,x,y

(4)

QLHPDOdiffux,x,xux,diffvy,y,y

Qu,v→xxuu,yyv

(5)

The operator Q acts on a list of 2 elements, say [u,v]...

GetDependentsCountQ

2

(6)

The first list item u may depend on x only, the second item v may depend on y only...

GetDependenciesQ

x,y

(7)

Compatibility

• 

The GetDependentsCount, GetDependencies and GetSystemCount commands were introduced in Maple 2020.

• 

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

See Also

LHPDO (Object overview)

LieAlgebrasOfVectorFields[LHPDO]

LHPDO as operator

GetIndependents