BUILT-IN MATHEMATICA SYMBOL

# Exclusions

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

## DetailsDetails

• The following settings can be given:
•  None exclude nothing True exclude subregions associated with discontinuities {x1,x2,...} exclude specific points lhs==rhs exclude a subregion defined by an equation {lhs1=rhs1,lhs2=rhs2,...} exclude several subregions defined by equations {{lhs1=rhs1,ineqs1},...} exclude subregions defined by equations and inequalities
• is effectively equivalent to if \$PerformanceGoal is , and to otherwise.
• For a region defined by n variables, excluded subregions must be of dimension .
• excludes all subregions where discontinuities are found in functions being plotted. The discontinuities can involve either finite or infinite jumps in function values.
• Exclusions->{{lhs1==rhs1, ineqs1}, ...} excludes subregions defined by a single equation and any combination of inequalities.
• Exclusions->{Automatic, {lhs1==rhs1, ...}, ...} excludes both subregions found automatically and specified explicitly.
• For plotting functions, ExclusionsStyle specifies how to draw excluded subregions and their boundaries.

## ExamplesExamplesopen allclose all

### Basic Examples (5)Basic Examples (5)

Exclude portions of a surface where it has jumps:

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Leave the surface entirely connected:

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Exclude portions of a curve where it has jumps:

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Exclude a fixed set of points:

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Specify where the function is discontinuous:

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