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GetSpace

get the space where a VFPDO is operates on

GetSystemCount

get the number of elements returned by a VFPDO object

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

GetSpace( obj)

GetSystemCount( obj)

Parameters

obj

-

a VDPDO object

Description

• 

An VFPDO object Δ is an appliable operator. It takes in a list of linear homogeneous differential expressions and returns as a differential operator on vector field that has same components as the differential expressions.

• 

The GetSpace(obj) returns a list of space variables that a VFPDO object is operated on.

• 

The GetSystemCount(obj) gives you the number of differential expressions.

• 

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

Examples

with(LieAlgebrasOfVectorFields):

X := VectorField(xi(x,y)*D[x] + eta(x,y)*D[y], space=[x,y]);

Xξx,yx+ηx,yy

(1)

Delta := VFPDO([a[1]*diff(xi(x,y),x) - a[2]*xi(x,y), diff(eta(x,y),x,x)-(a[1]^2+a[2]^2)*eta(x,y)], X);

ΔX→a1ⅆⅆxXxa2Xx,xxXy+a12a22Xy

(2)

GetSystemCount(Delta);

2

(3)

GetSpace(Delta);

x,y

(4)

Compatibility

• 

The GetSpace and GetSystemCount commands were introduced in Maple 2020.

• 

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

See Also

VFPDO (Object overview)

LieAlgebrasOfVectorFields[VFPDO]

VFPDO as operator