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2.5.3 Commands and Functions for LIST
append append an object to a list
apply apply homomorphism
ApproxPointsNBM Numerical Border Basis of ideal of points
ApproxSolve Approximate real solutions for polynomial system
ascii convert between characters and ascii code
BettiMatrix the matrix of the graded Betti numbers
CartesianProduct, CartesianProductList Cartesian product of lists
CheckArgTypes Check types in a list
coefficients list of coefficients of a polynomial
CoefficientsWRT list of coeffs and PPs of a poly wrt indet or list of indets
ColMat single column matrix
concat concatenate lists
ConcatHorList create a simple block matrix
ConcatLists concatenate a list of lists
ConcatVerList create a simple block matrix
ContentWRT content of a polynomial wrt and indet or a list of indets
ContFracToRat convert continued fraction to rational
count count the objects in a list
DiagMat matrix with given diagonal
diff returns the difference between two lists
distrib the distribution of objects in a list
DivAlg division algorithm
elim eliminate variables
ElimHomogMat matrix for elimination ordering
ElimMat matrix for elimination ordering
EqSet checks if the set of elements in two lists are equal
eval substitute numbers or polynomials for indeterminates
EvalQuasiPoly Evaluate a quasi-polynomial at an integer
Ext presentation Ext modules as quotients of free modules
FGLM5 perform a FGLM Groebner Basis conversion
first the first N elements of a list
flatten flatten a list
foreach loop command
FrobeniusMat compute a matrix of the Frobenius Map
FVector compute the f-vector of a top simplices list
GBM intersection of ideals for zero-dimensional schemes
gcd greatest common divisor
GCDFreeBasis determine (minimal) GCD free basis of a set of integers
HGBM intersection of ideals for zero-dimensional schemes
HilbertSeriesShifts the Hilbert-Poincare series
homog homogenize with respect to an indeterminate
ideal ideal generated by list
IdealAndSeparatorsOfPoints ideal and separators for affine points
IdealAndSeparatorsOfProjectivePoints ideal and separators for points
implicit implicitization
ImplicitHypersurface implicitization of hypersurface
ImplicitPlot outputs the zero locus of a bivariate polynomial to a file
ImplicitPlotOn outputs the zero locus of a bivariate polynomial to a file
in list element selector in list constructor
InitialIdeal Initial ideal
insert [OBSOLESCENT] [OBSOLESCENT] insert an object in a list
Interpolate interpolating polynomial
interreduce, interreduced interreduce a list of polynomials
intersection intersect lists, ideals, or modules
IntersectionList intersect lists, ideals, or modules
IsFactorClosed test whether a list of PPs is factor closed
IsHomog test whether given polynomials are homogeneous
IsIn check if one object is contained in another
IsSubset checks if the elements of one list are a subset of another
IsTree5 checks if a facet complex is a tree
jacobian the Jacobian of a list of polynomials
last the last N elements of a list
lcm least common multiple
len the length of an object
LexSegmentIdeal lex-segment ideal containing L, or with the same HilbertFn as I
LinKerBasis find the kernel of a matrix
MakeMatByRows, MakeMatByCols convert a list into a matrix
MakeSet remove duplicates from a list
MakeTerm returns a monomial (power-product) with given exponents
matrix convert a list into a matrix
max a maximum element of a sequence or list
MaxBy a maximum element of a list
min a minimum element of a sequence or list
MinBy a minimum element of a list
ModuleElem create a module element
MultiplicationMat the multiplication matrix of a ringelem
NewPolyRing create a new PolyRing
NmzComputation flexible access to Normaliz
NmzEhrhartRing Computes the Ehrhart ring
NmzIntClosureMonIdeal integral closure of a monomial ideal
NmzIntClosureToricRing integral closure of a toric ring
NmzNormalToricRing normalization of a toric ring
NonZero remove zeroes from a list
NR normal reduction
operators, shortcuts Special characters equivalent to commands
permutations returns all permutations of the entries of a list
PlotPoints outputs the coordinates of the points to a file
PlotPointsOn outputs the coordinates of the points to a file
PolyAlgebraHom homomorphism of polynomial algebras
PolyRingHom homomorphism of polynomial rings
PrintBettiDiagram the diagram of the graded Betti numbers
product the product of the elements of a list
QZP change field for polynomials and ideals
RandomSubset random subset
RandomTuple random tuple
RationalAffinePoints Affine rational solutions
RationalProjectivePoints Projective rational solutions
RationalSolve Rational solutions for polynomial system
RatReconstructWithBounds deterministic rational reconstruction from modular image
RefineGCDFreeBasis refine an integer GCD free basis
remove remove an object in a list
reverse, reversed reverse a list
RingsOf list of the rings of an object
RMap [OBSOLESCENT] [OBSOLESCENT] define ring homomorphism for function image
RowMat single row matrix
ScalarProduct scalar product
SeparatorsOfPoints separators for affine points
SeparatorsOfProjectivePoints separators for projective points
SetRow set a list as a row into a matrix
shape extended list of types involved in an expression
SimplexInfo Stanley-Reisner ideal, AlexanderDual complex, ideal of top simplices
SimplicialHomology compute the simplicial homology of a top simplices list
sort sort a list
SortBy sort a list
sorted sort a list
SortedBy sort a list
StableBBasis5 Stable Border Basis of ideal of points
StableIdeal stable ideal containing L
StagedTrees staged trees from Statistics
StronglyStableIdeal strongly stable ideal containing L
SubalgebraRepr representation of a polynomial as a subalgebra element
submat submatrix
submodule submodule generated by list
subsets returns all sublists of a list
sum the sum of the elements of a list
SymbolRange range of symbols for the indeterminates of a PolyRing
syz syzygy modules
tail remove the first element of a list
toric saturate toric ideals
tuples N-tuples
WithoutNth removes the N-th component from a list
ZPQ change field for polynomials and ideals