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Vector Calculus

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examples/VectorCalculus
The VectorCalculus Package

VectorCalculus/About
return information on a VectorCalculus object

VectorCalculus/AddCoordinates
add a new coordinate system

VectorCalculus/ConvertVector
converts Cartesian free Vectors, rooted Vectors and position Vectors among themselves

VectorCalculus/CrossProduct
computes the cross product of Vectors and differential operators

VectorCalculus/DirectionalDiff
computes the directional derivative of a scalar field in the direction given by a vector

VectorCalculus/DotProduct
computes the dot product of Vectors and differential operators

VectorCalculus/GetPVDescription
return a description of a position Vector in a specified coordinate system.

VectorCalculus/GetRootPoint
return the root point of rooted Vector

VectorCalculus/GetSpace
return the VectorSpace of a rooted Vector

VectorCalculus/Hessian
computes the Hessian Matrix of a function from R^n to R

VectorCalculus/IsPositionVector
determines if its argument is a position Vector

VectorCalculus/IsRootedVector
determines if its argument is a rooted Vector

VectorCalculus/IsVectorField
determines if its argument is a vector field

VectorCalculus/Jacobian
computes the Jacobian Matrix of a list or Vector of expressions

VectorCalculus/MapToBasis
convert Vectors and vector fields between different coordinate systems

VectorCalculus/Norm
compute the norm of a Vector or vector field

VectorCalculus/Normalize
normalize a Vector or vector field

VectorCalculus/PlotPositionVector
plot a curve or surface defined by a position Vector

VectorCalculus/PlotVector
Plot a VectorCalculus object

VectorCalculus/+
An overloaded version of Plus that deals with adding Vectors

VectorCalculus/PositionVector
create a position Vector with specified components and a coordinate system

VectorCalculus/RootedVector
create a Vector rooted at a given point with specified components in a given coordinate system

VectorCalculus/SpaceCurve
Calling Sequence

VectorCalculus/*
An overloaded version of Star that deals with scalar multiplication of Vectors

VectorCalculus/TangentLine
Calling Sequence

VectorCalculus/TangentPlane
compute the plane tangent to a surface

VectorCalculus/Vector
create a free Vector with specified components and a coordinate system

VectorCalculus/Flux
compute the flux of a vector field through a surface in R^3 or a curve in R^2

VectorCalculus/LineInt
compute the line integral of a vector field in R^n

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