# Exclusions

is an option that specifies where to exclude in regions used by functions like Plot, Plot3D, and NIntegrate.

# Details

• The following settings specify what to exclude:
•  None no exclusions All all computed exclusions Automatic automatically computed exclusions "Discontinuities" computed jump discontinuities "Singularities" computed singularities lhs==rhs explicitly defined by an equation {lhsrhs,cond} explicitly defined by an equation and a condition {spec1,spec2,…} union of exclusions given by speci
• is effectively equivalent to if \$PerformanceGoal is "Quality", and to otherwise.
• For a domain defined by n variables, exclusions must be of dimension .
• For a domain defined by one variable, Exclusions->{x1,x2,} will exclude the points xi.
• Exclusions"Discontinuities" typically includes piecewise discontinuities and branch-cut discontinuities.
• Exclusions"Singularities" typically includes poles and essential singularities.
• The automatically computed exclusions will typically include potential discontinuities and singularities, including removable discontinuities and singularities.
• For plotting functions, ExclusionsStyle specifies how to draw exclusions and their boundaries.

# Examples

open allclose all

## Basic Examples(5)

Exclude portions of a surface where it has jumps:

 In[1]:=
 Out[1]=

Leave the surface entirely connected:

 In[1]:=
 Out[1]=

Exclude portions of a curve where it has jumps:

 In[1]:=
 Out[1]=

Exclude a fixed set of points:

 In[1]:=
 Out[1]=

Specify where the function is discontinuous:

 In[1]:=
 Out[1]=