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Exclusions

Exclusions
is an option that specifies where to exclude in regions used by functions like Plot, Plot3D and NIntegrate.
  • The following settings can be given:
Noneexclude nothing
Automaticexclude subregions associated with discontinuities
{x1,x2,...}exclude specific points
lhsrhsexclude 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
  • For a region defined by n variables, excluded subregions must be of dimension n-1.
  • Exclusions->Automatic excludes all subregions where discontinuities are found in functions being plotted. The discontinuities can involve either finite or infinite jumps in function values.
  • Exclusions->{{lhs1rhs1, ineqs1}, ...} excludes subregions defined by a single equation and any combination of inequalities.
  • Exclusions->{Automatic, {lhs1rhs1, ...}, ...} excludes both subregions found automatically and specified explicitly.
  • For plotting functions, ExclusionsStyle specifies how to draw excluded subregions and their boundaries.
EXAMPLESCLOSE ALL
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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