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4.4.2 Commands and Functions for Lists

CoCoA provides a variety of commands for manipulating lists. Note in particular the command In which is useful for building lists.

The following are commands and functions for lists:

Append	append an object to an existing list
BBasis5	Border Basis of zero dimensional ideal
BlockMatrix	create a block matrix
BringIn	bring in objects from another ring
CartesianProduct, CartesianProductList	Cartesian product of lists
Comp	the N-th component of a list
Concat	concatenate lists
ConcatLists	concatenate a list of lists
Count	count the objects in a list
Diff	returns the difference between two lists
Distrib	the distribution of objects in a list
EqSet	checks if the set of elements in two lists are equal
FGLM5	perform a FGLM Groebner Basis conversion
First	the first N elements of a list
Flatten	flatten a list
GBM	intersection of ideals for zero-dimensional schemes
GenericPoints	random projective points
Head	the first element of a list
HGBM	intersection of ideals for zero-dimensional schemes
HIntersection	intersection of ideals
HIntersectionList	intersection of ideals
IdealAndSeparatorsOfPoints	ideal and separators for affine points
IdealAndSeparatorsOfProjectivePoints	ideal and separators for points
IdealOfPoints	ideal of a set of affine points
IdealOfProjectivePoints	ideal of a set of projective points
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	create a list satisfying given conditions
Insert	insert an object in a list
Interpolate	interpolating polynomial
Interreduce, Interreduced	interreduce a list of polynomials or vectors
Intersection	intersect lists, ideals, or modules
IntersectionList	intersect lists, ideals, or modules
IsIn	check if one object is contained in another
IsSubset	checks if the elements of one list are a subset of another
Last	the last N elements of a list
Len	the length of an object
LexSegmentIdeal	lex-segment ideal containing L, or with the same Hilbert fn as I
List	convert an expression into a list
MakeMatByRows, MakeMatByCols	convert a list into a matrix
MakeSet	remove duplicates from a list
Mat	convert an expression into a matrix
MatConcatAntiDiag	create a simple block matrix
MatConcatDiag	create a simple block matrix
MatConcatHor	create a simple block matrix
MatConcatVer	create a simple block matrix
Max, Min	a maximum or minimum element of a sequence or list
Monic	divide polynomials by their leading coefficients
NewList	create a new list
NonZero	remove zeroes from a list
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
PreprocessPts5	Reduce redundancy in a set of approximate points
Product	the product of the elements of a list
Remove	remove an object in a list
Reverse, Reversed	reverse a list
ScalarProduct	scalar product
SeparatorsOfPoints	separators for affine points
SeparatorsOfProjectivePoints	separators for projective points
Size	the amount of memory used by an object
SmoothFactor	find small prime factors of an integer
Sort	sort a list
SortBy	sort a list
Sorted	sort a list
SortedBy	sort a list
StableBBasis5	Stable Border Basis of ideal of points
StableBBasisNBM5	Numerical Border Basis of ideal of points
StableIdeal	stable ideal containing L
StronglyStableIdeal	strongly stable ideal containing L
Submat	submatrix
Subsets	returns all sublists of a list
Sum	the sum of the elements of a list
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

For details look up each item by name. Online, try ?ItemName or H.Syntax("ItemName").