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VectorCalculus[eval] - evaluation for Vectors
Calling Sequence
eval(v, t=a)
eval(v, eqns)
Parameters
v
-
Vector(algebraic); Vector or algebraic expression
t
name; usually a name but may be a general expression
a
expression
eqns
list or set; list or set of equations
Description
The eval(v, eqns) command is an extension of the top-level eval command which correctly evaluates free Vectors , rooted Vectors, position Vectors, and VectorFields for the VectorCalculus package. If v is not a Vector, the arguments are passed to the top level eval command.
If v is a rooted Vector then both the root point or origin and the components, corresponding to the coefficients of the basis vectors, are evaluted.
If v is a VectorField, then the components are evaluated and a VectorField is returned. To properly evalute a VectorField at a point use evalVF.
If v is a free Vector or a position Vector, then the components are evaluated. The type of the Vector does not change.
Examples
Evaluating free Vectors
Evaluating rooted Vectors: both the root point and the components are evaluated.
If the components have no variables then the root point is evaluated.
If the root point has no variables then the components are evaluated.
Evaluating position Vectors
Evaluating VectorFields: eval evaluates the components and returns a VectorField.
See Also
eval, VectorCalculus, VectorCalculus[evalVF], VectorCalculus[PositionVector], VectorCalculus[RootedVector], VectorCalculus[Vector], VectorCalculus[VectorField]
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