atlas[Frame] - declaration of frame vectors

Calling Sequence:

     Frame(Id[j])

Parameters:

      Id[j] -indexed variable the frame vectors

Description:

The Frame  procedure declares frame vectors. If  E[j] is defined as a frame then vectors  (n=dim) make the frame. Frame declaration is only possible if coframe has been defined (see atlas[Coframe] ).

Examples:
restart:
with(atlas):

Declare forms:
Forms(e[j]=1,xi=1);

Declare vectors:
Vectors(X,Y,Z,E[j]);

One can not declare frame before coframe declaration:
Frame(E[k]);

Declare coframe:
Coframe(e[j],j=1..n);

Declare frame:
Frame(E[k]);

It is obvious that
'iota[E[i]](e[j])'=iota[E[i]](e[j]);

"To basis" decomposition
X=ToBasis(X);

xi=ToBasis(xi);

See Also:

atlas , atlas[Coframe] , atlas[ToBasis] .