VectorCalculus - Maple Programming Help

VectorCalculus

 return information on a VectorCalculus object

Parameters

 v - Vector or module; any kind of Vector or a VectorSpace module

Description

 • The About(v) command returns the type and all relevant data of a VectorCalculus object in a human-readable format.

Examples

 > $\mathrm{with}\left(\mathrm{VectorCalculus}\right):$
 > $\mathrm{vs}≔\mathrm{VectorSpace}\left(\mathrm{polar}\left[r,\mathrm{\theta }\right],⟨0,1⟩\right):$
 > $\mathrm{About}\left(\mathrm{vs}\right)$
 $\left[\begin{array}{cc}{\mathrm{Type:}}& {\mathrm{Vector Space}}\\ {\mathrm{Coordinates:}}& {{\mathrm{polar}}}_{{r}{,}{\mathrm{\theta }}}\\ {\mathrm{Root Point:}}& \left[{1}{,}\frac{{\mathrm{\pi }}}{{2}}\right]\end{array}\right]$ (1)
 > $\mathrm{rv}≔\mathrm{vs}:-\mathrm{Vector}\left(\left[1,1\right]\right):$
 > $\mathrm{About}\left(\mathrm{rv}\right)$
 $\left[\begin{array}{cc}{\mathrm{Type:}}& {\mathrm{Rooted Vector}}\\ {\mathrm{Components:}}& \left[{1}{,}{1}\right]\\ {\mathrm{Coordinates:}}& {{\mathrm{polar}}}_{{r}{,}{\mathrm{\theta }}}\\ {\mathrm{Root Point:}}& \left[{1}{,}\frac{{\mathrm{\pi }}}{{2}}\right]\end{array}\right]$ (2)
 > $\mathrm{SetCoordinates}\left(\mathrm{spherical}\left[r,\mathrm{\phi },\mathrm{\theta }\right]\right)$
 ${{\mathrm{spherical}}}_{{r}{,}{\mathrm{\phi }}{,}{\mathrm{\theta }}}$ (3)
 > $\mathrm{fv}≔⟨1,\frac{\mathrm{\pi }}{2},\mathrm{\pi }⟩:$
 > $\mathrm{About}\left(\mathrm{fv}\right)$
 $\left[\begin{array}{cc}{\mathrm{Type:}}& {\mathrm{Free Vector}}\\ {\mathrm{Components:}}& \left[{1}{,}\frac{{\mathrm{\pi }}}{{2}}{,}{\mathrm{\pi }}\right]\\ {\mathrm{Coordinates:}}& {{\mathrm{spherical}}}_{{r}{,}{\mathrm{\phi }}{,}{\mathrm{\theta }}}\end{array}\right]$ (4)
 > $\mathrm{SetCoordinates}\left(\mathrm{cartesian}\left[x,y\right]\right)$
 ${{\mathrm{cartesian}}}_{{x}{,}{y}}$ (5)
 > $\mathrm{vf}≔\mathrm{VectorField}\left(⟨y,xy⟩\right):$
 > $\mathrm{About}\left(\mathrm{vf}\right)$
 $\left[\begin{array}{cc}{\mathrm{Type:}}& {\mathrm{Vector Field}}\\ {\mathrm{Components:}}& \left[{y}{,}{x}{}{y}\right]\\ {\mathrm{Coordinates:}}& {{\mathrm{cartesian}}}_{{x}{,}{y}}\end{array}\right]$ (6)
 > $\mathrm{pv}≔\mathrm{PositionVector}\left(\left[3,4\right]\right):$
 > $\mathrm{About}\left(\mathrm{pv}\right)$
 $\left[\begin{array}{cc}{\mathrm{Type:}}& {\mathrm{Position Vector}}\\ {\mathrm{Components:}}& \left[{3}{,}{4}\right]\\ {\mathrm{Coordinates:}}& {{\mathrm{cartesian}}}_{{x}{,}{y}}\\ {\mathrm{Root Point:}}& \left[{0}{,}{0}\right]\end{array}\right]$ (7)
 > $\mathrm{rv2}≔\mathrm{evalVF}\left(\mathrm{vf},⟨3,4⟩\right):$
 > $\mathrm{About}\left(\mathrm{rv2}\right)$
 $\left[\begin{array}{cc}{\mathrm{Type:}}& {\mathrm{Rooted Vector}}\\ {\mathrm{Components:}}& \left[{4}{,}{12}\right]\\ {\mathrm{Coordinates:}}& {{\mathrm{cartesian}}}_{{x}{,}{y}}\\ {\mathrm{Root Point:}}& \left[{3}{,}{4}\right]\end{array}\right]$ (8)