Student/VectorCalculus/IsVectorField - Maple Help

Student[VectorCalculus]

 IsVectorField
 determines if its argument is a vector field

 Calling Sequence IsVectorField(v)

Parameters

 v - Vector; Vector to be tested

Description

 • The IsVectorField(v) command returns true if v is a vector field (that is, if v was created by a call to the VectorField command), and false otherwise.

Examples

 > $\mathrm{with}\left(\mathrm{Student}\left[\mathrm{VectorCalculus}\right]\right):$
 > $v≔\mathrm{VectorField}\left(⟨{r}^{2},\frac{\mathrm{\theta }}{r}⟩,\mathrm{polar}\left[r,\mathrm{\theta }\right]\right)$
 ${v}{≔}\left({{r}}^{{2}}\right){\stackrel{{_}}{{e}}}_{{r}}{+}\left(\frac{{\mathrm{\theta }}}{{r}}\right){\stackrel{{_}}{{e}}}_{{\mathrm{θ}}}$ (1)
 > $\mathrm{IsVectorField}\left(v\right)$
 ${\mathrm{true}}$ (2)