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RegionFunction

RegionFunction
is an option for plotting functions which specifies the region to include in the plot drawn.

MORE INFORMATION

The setting RegionFunction->r specifies that a point should be included in the region when r[args] yields True.

The arguments supplied to r are as follows:

	Plot and ListLinePlot	x , y
	ParametricPlot	x, y, u or x, y, u, v
	RegionPlot	x, y
	ContourPlot and ListContourPlot	x, y, f
	DensityPlot and ListDensityPlot	x, y, f
	ContourPlot3D and ListContourPlot3D	x, y, z, f
	Plot3D, ListPlot3D and ListSurfacePlot3D	x, y, z
	ParametricPlot3D	x, y, z, u or x, y, z, u, v
	RegionPlot3D	x, y, z

Adaptive refinement is typically used to determine the boundaries of the region specified by RegionFunction.

The boundary of regions defined by RegionFunction is drawn with a style specified by the setting for BoundaryStyle.

Basic Examples (2)

Plot over an annulus region:

Region cuts in the radial direction:

PlotRange RegionPlot RegionPlot3D Exclusions BoundaryStyle Filling ClippingStyle

Equations and Inequalities over Domains

The Representation of Solution Sets

Inequalities

Demonstrations with RegionFunction (Wolfram Demonstrations Project)

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