liesymm
hook
inner product (hook)
Calling Sequence
Parameters
Description
Examples
hook(f, V)
f
-
expression involving differential forms relative to specific coordinates
V
vector (or list)
This routine is part of the liesymm package and is loaded via with(liesymm).
Compute the inner product of f with respect to a vector V.
Use setup() to change the underlying coordinate system.
withliesymm:
setupx,y,z
x,y,z
hookfx,y,z,V
0
hookdfx,y,z,V
∂∂xfx,y,zV1x,y,z+∂∂yfx,y,zV2x,y,z+∂∂zfx,y,zV3x,y,z
hookdfx,y,z&ˆdz,V
∂∂xfx,y,zV1x,y,zdz−dxV3x,y,z+∂∂yfx,y,zV2x,y,zdz−dyV3x,y,z
See Also
liesymm[&^]
liesymm[d]
liesymm[Lie]
liesymm[setup]
liesymm[wedgeset]
with
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