VectorFields : Table of Contents

• VectorFields -- a package for manipulating polynomial vector fields
• applyVectorField -- apply a vector field to a function or functions
• bracket -- compute the Lie bracket of vector fields
• commutator -- the commutator of a collection of vector fields
• der -- compute the module of vector fields which send one set to another
• derivedSeries -- compute the derived series of a set of vector fields
• derlog -- 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
• isFiniteStratification -- checks if a stratification by integral submanifolds is finite
• isFreeDivisor -- check if the provided information is associated with a free divisor
• isHHolonomic -- test whether a hypersurface is H-holonomic
• isHolonomic -- test whether an algebraic set is holonomic
• isHomogeneousVectorField -- 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
• isLogarithmic -- check if the given vector fields are logarithmic
• isVectorField -- 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
• StratificationByRank -- a type to hold a rank computation
• stratifyByRank -- compute ideals describing where the vector fields have a particular rank