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RegionMemberFunction—Wolfram Language Documentation

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• See Also
  • RegionMember
  • RegionDistanceFunction
  • RegionDistance
  • RegionNearest
• Related Guides
  • Region Properties and Measures

RegionMemberFunction[reg,…]

represents a function whose values give whether a point is in a region reg or not.

Use RegionMember to generate a RegionMemberFunction:

Apply it to a list of points to test membership:

Test for points within an Interval:

Apply it to a list of points to test membership:

Test for points within a Disk:

Apply it to a list of points to test membership:

Test for points within a Cylinder:

Apply it to a list of points to test membership:

Regions in :

A union of two disks as an ImplicitRegion:

Apply it to a list of points to test membership:

A union of two cylinders as an ImplicitRegion:

Apply it to a list of points to test membership:

A disk represented as a ParametricRegion:

Apply it to a list of points to test membership:

MeshRegion in 1D:

Apply it to a list of points to test membership:

2D:

Apply it to a list of points to test membership:

3D:

Apply it to a list of points to test membership:

BoundaryMeshRegion in 1D:

Apply it to a list of points to test membership:

2D:

Apply it to a list of points to test membership:

3D:

MeshCoordinates are always members of the region:

Generate points on a region by filtering a uniform set of points:

Get the region bounds:

Uniformly sample over the bounding box of the region:

Select member points:

Visualize member points:

Color points based on which region they belong to:

Create membership functions for each:

Generate points over a bounding box of both regions:

Visualize:

Use random points in a region to perform Monte Carlo integration:

Evaluate a function at each sample point and take their average:

Compare with the exact value:

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