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liesymm

  

d

  

the exterior derivative

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

d(form)

Parameters

form

-

expression involving differential forms relative to specific coordinates

Description

• 

This routine is part of the liesymm package and is loaded via with(liesymm) .

• 

It computes the exterior derivative of the differential form form with respect to the coordinates defined by setup() .

• 

For coordinate x, dx is a 1-form, and ddx=0.

• 

Expressions not involving the coordinates are treated as constants. The coordinate list is given by wedgeset(0).

Examples

withliesymm:

setupx,y,z

x,y,z

(1)

mapd,

dx,dy,dz

(2)

dx2dx

0

(3)

dx+y

dx+dy

(4)

dzdx &^ dy

&^dy,dz,dx

(5)

d1dx &^ dyc

0

(6)

See Also

liesymm

liesymm[&^]

liesymm[hook]

liesymm[Lie]

liesymm[setup]

liesymm[wedgeset]

with

 


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