البوابة
من طرف 
A vector field is a map
that assigns each 
a vector function 
. In French, a vector field is called "un champ." Several vector fields are illustrated above. A vector field is uniquely specified by giving its divergence and curl within a region and its normal component over the boundary, a result known as Helmholtz's theorem (Arfken 1985, p. 79). Vector fields can be plotted using VectorFieldPlot[f,
x, xmin, xmax
, 
y, ymin, ymax
] in the Mathematica package VectorFieldPlots` (which can be loaded with the command <<VectorFieldPlots`) . Flows are generated by vector fields and vice versa. A vector field is a tangent bundle section of its tangent bundle.
