atlas[`&@`] - Natural vector operator

Calling Sequence:

     &@(x)

Parameters:

        x - variable

Description:

Examples:
restart:
with(atlas):

Declare Functions
Functions(f=f(x,y,z));

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

Declare forms:
Forms(e[i]=1);

Declare coframe:
Coframe(e[1]=d(x),e[2]=d(y),e[3]=d(z));

Declare frame:
Frame(E[k]);

Using &@ procedure:
&@(x),&@(y),&@(z);

iota[&@(x)](e[k]);

To basis decomposition:
&@(z)=ToBasis(&@(z));

&@(phi)=ToBasis(&@(phi));

See Also:

atlas , atlas[iota] , atlas[Frame] , atlas[Coframe] , atlas[ToBasis] .