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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