VectorField

Creates a planar vector field plot.

Syntax

• VectorField(f, ❨xmin, xmax[, δx]❩, ❨ymin, ymax[, δy]❩)

  • f is a function D → ℝ² where D ⊂ ℝ²

  • xmin, xmax, ymin, and ymax are real numbers

  • δx and δy are non-negative real numbers

Description

The VectorField function creates a plot of the vector field f in the rectangular region [xmin, xmax] × [ymin, ymax] with a sampling distance of δx in the first dimension and δy in the second dimension. The sampling distance is the distance between arrows. If omitted, a reasonable default value is used (typically producing a plot with about 20 arrows along each direction).

The plot is shown in the current diagram and a reference to the plot is returned.

Examples

D ≔ diagram("vector field");
sf ≔ heatmap((x, y) ↦ x^2 + y^2, ❨−10, 10❩, ❨−10, 10❩, '("white", "red"));
vf ≔ VectorField((x, y) ↦ ❨2⋅x, 2⋅y❩, ❨−10, 10❩, ❨−10, 10❩)

See also

• heatmap