VectorFields : Index

• applyVectorField -- apply a vector field to a function or functions
• applyVectorField(Matrix,List) -- apply a vector field to a function or functions
• applyVectorField(Matrix,RingElement) -- apply a vector field to a function or functions
• applyVectorField(Module,Ideal) -- apply a vector field to a function or functions
• applyVectorField(Module,RingElement) -- apply a vector field to a function or functions
• applyVectorField(Vector,List) -- apply a vector field to a function or functions
• applyVectorField(Vector,RingElement) -- apply a vector field to a function or functions
• bracket -- compute the Lie bracket of vector fields
• bracket(Matrix,Matrix) -- compute the Lie bracket of vector fields
• bracket(Matrix,Matrix,List) -- compute the Lie bracket of vector fields
• bracket(Module,Module) -- compute the Lie bracket of vector fields
• bracket(Vector,Vector) -- compute the Lie bracket of vector fields
• commutator -- the commutator of a collection of vector fields
• commutator(Matrix) -- the commutator of a collection of vector fields
• commutator(Module) -- the commutator of a collection of vector fields
• der -- compute the module of vector fields which send one set to another
• der(Ideal,Ideal) -- compute the module of vector fields which send one set to another
• der(VisibleList,Ideal) -- compute the module of vector fields which send one set to another
• derivedSeries -- compute the derived series of a set of vector fields
• derivedSeries(ZZ,Matrix) -- compute the derived series of a set of vector fields
• derivedSeries(ZZ,Module) -- compute the derived series of a set of vector fields
• derlog -- compute the logarithmic (tangent) vector fields to an ideal
• derlog(Ideal) -- compute the logarithmic (tangent) vector fields to an ideal
• derlog(RingElement) -- compute the logarithmic (tangent) vector fields to an ideal
• derlogH -- compute the logarithmic (tangent) vector fields to an ideal
• derlogH(List) -- compute the logarithmic (tangent) vector fields to an ideal
• derlogH(RingElement) -- compute the logarithmic (tangent) vector fields to an ideal
• differences between certain bracketing functions -- The difference between certain bracketing functions
• homogeneousVectorFieldDegree -- check if vector fields are homogeneous, and of what degree
• homogeneousVectorFieldDegree(Matrix) -- check if vector fields are homogeneous, and of what degree
• homogeneousVectorFieldDegree(Module) -- check if vector fields are homogeneous, and of what degree
• isFiniteStratification -- checks if a stratification by integral submanifolds is finite
• isFiniteStratification(StratificationByRank) -- checks if a stratification by integral submanifolds is finite
• isFreeDivisor -- check if the provided information is associated with a free divisor
• isFreeDivisor(Matrix) -- check if the provided information is associated with a free divisor
• isFreeDivisor(Module) -- check if the provided information is associated with a free divisor
• isFreeDivisor(RingElement) -- check if the provided information is associated with a free divisor
• isHHolonomic -- test whether a hypersurface is H-holonomic
• isHHolonomic(RingElement) -- test whether a hypersurface is H-holonomic
• isHolonomic -- test whether an algebraic set is holonomic
• isHolonomic(Ideal) -- test whether an algebraic set is holonomic
• isHolonomic(RingElement) -- test whether an algebraic set is holonomic
• isHomogeneousVectorField -- determine whether a matrix or module is generated by homogeneous vector fields
• isHomogeneousVectorField(Matrix) -- determine whether a matrix or module is generated by homogeneous vector fields
• isHomogeneousVectorField(Matrix,List) -- determine whether a matrix or module is generated by homogeneous vector fields
• isHomogeneousVectorField(Matrix,Set) -- determine whether a matrix or module is generated by homogeneous vector fields
• isHomogeneousVectorField(Module) -- determine whether a matrix or module is generated by homogeneous vector fields
• isHomogeneousVectorField(Module,List) -- determine whether a matrix or module is generated by homogeneous vector fields
• isHomogeneousVectorField(Module,Set) -- determine whether a matrix or module is generated by homogeneous vector fields
• isLieAlgebra -- check that a module of vector fields is closed under the Lie bracket
• isLieAlgebra(Module) -- check that a module of vector fields is closed under the Lie bracket
• isLogarithmic -- check if the given vector fields are logarithmic
• isLogarithmic(Matrix,Ideal) -- check if the given vector fields are logarithmic
• isLogarithmic(Module,Ideal) -- check if the given vector fields are logarithmic
• isLogarithmic(Vector,Ideal) -- check if the given vector fields are logarithmic
• isVectorField -- test whether a module or matrix can be interpreted as a collection of vector fields
• isVectorField(Matrix) -- test whether a module or matrix can be interpreted as a collection of vector fields
• isVectorField(Module) -- test whether a module or matrix can be interpreted as a collection of vector fields
• lowerCentralSeries -- compute the lower central series of a set of vector fields
• lowerCentralSeries(ZZ,Matrix) -- compute the lower central series of a set of vector fields
• lowerCentralSeries(ZZ,Module) -- compute the lower central series of a set of vector fields
• StratificationByRank -- a type to hold a rank computation
• stratifyByRank -- compute ideals describing where the vector fields have a particular rank
• stratifyByRank(Matrix) -- compute ideals describing where the vector fields have a particular rank
• stratifyByRank(Module) -- compute ideals describing where the vector fields have a particular rank
• VectorFields -- a package for manipulating polynomial vector fields