Student[VectorCalculus][VectorSpace] - creates a vector space at a given point in a given coordinate system
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Calling Sequence
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VectorSpace(c, origin)
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Parameters
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c
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name or name[name, name, ...]; specify the coordinate system, possibly indexed by the coordinate variable names
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origin
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free or position Vector or list; root point of the vector space
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Description
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The VectorSpace(c, origin) command returns a module representing the vector space rooted at point origin in c coordinates.
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The order of the arguments may be reversed. If no coordinate system argument is present, the current coordinate system is used.
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The root point origin can be specified as a free or position Vector or as a list of coordinates. If it is a free or position Vector, its coordinate system attribute is checked and the Vector will be converted to c coordinates. If it is a list, the components are expected to be in c coordinates.
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Once coordinates c are specified, the unit basis vectors are evaluated at the point origin. If the unit basis vectors evaluate to zero an error is raised.
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The returned module is a valid right hand side for the space attribute on Vectors. If this attribute is present, it qualifies the Vector as a rooted Vector, and determines its root point and coordinate system.
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The module itself has 3 exports:
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GetRootPoint
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Return the root point of the vector space
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GetCoordinates
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Return the coordinate system of the vector space
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Vector(comps)
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Create a rooted Vector based on the vector space, with components comps. comps is expected to be of type list(algebraic).
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Examples
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