Macaulay2
»
Documentation
Packages
»
VectorFields
::
Index
next | previous | forward | backward | up |
index
|
toc
VectorFields : Index
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
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