Sequence -- the class of all sequences -- (...)

Description

A sequence is an ordered collection of things enclosed by parentheses and separated by commas. Use # to get the length of a sequence of to get one of the elements.

i1 : v = (a,b,c)

o1 = (a, b, c)

o1 : Sequence

i2 : #v

o2 = 3

i3 : v#2

o3 = c

o3 : Symbol

To convert sequences to and from other types of BasicList, in addition to toSequence, one may use new.

i4 : new Array from (a,b,c)

o4 = [a, b, c]

o4 : Array

i5 : new Sequence from [a,b,c]

o5 = (a, b, c)

o5 : Sequence

For an overview of lists and sequences, see lists and sequences.

Functions and methods returning a sequence:

apply(BasicList,String,Function) -- see apply(BasicList,BasicList,Function) -- apply a function to pairs of elements, one from each list
apply(String,BasicList,Function) -- see apply(BasicList,BasicList,Function) -- apply a function to pairs of elements, one from each list
apply(String,String,Function) -- see apply(BasicList,BasicList,Function) -- apply a function to pairs of elements, one from each list
apply(String,Function) -- see apply(BasicList,Function) -- apply a function to each element of a list
ascii(String) -- see ascii -- ASCII character conversion
IndexedVariable .. IndexedVariable -- sequences of consecutive indexed variables
IndexedVariable ..< IndexedVariable -- sequences of consecutive indexed variables
List .. List -- rectangular sequences of consecutive lists and sequences
Sequence .. Sequence -- see List .. List -- rectangular sequences of consecutive lists and sequences
List ..< List -- rectangular sequences of consecutive lists and sequences
Sequence ..< Sequence -- see List ..< List -- rectangular sequences of consecutive lists and sequences
Sequence | Sequence -- see List | List -- join lists, sequences or arrays
String .. String -- a sequence of consecutive strings
String ..< String -- a sequence of consecutive strings, not including the endpoint
toSequence(BasicList) -- see toSequence -- convert to sequence
toSequence(String) -- see toSequence -- convert to sequence
toSequence(Thing) -- see toSequence -- convert to sequence
Command \ String -- see VisibleList / Function -- apply a function to elements of a list
Function \ String -- see VisibleList / Function -- apply a function to elements of a list
String / Command -- see VisibleList / Function -- apply a function to elements of a list
String / Function -- see VisibleList / Function -- apply a function to elements of a list
ZZ .. ZZ -- sequences of consecutive integers
ZZ ..< ZZ -- sequences of consecutive integers

Methods that use a sequence:

# Sequence -- see # List -- length or cardinality of a list, hash table, dictionary, set, or string
Sequence #? ZZ -- see #? -- check existence of value in a list, hash table, database, or string
Sequence <- Thing -- see <- -- assignment with left side evaluated
addHook(Sequence,Function) -- see addHook -- add a hook function to an object for later processing
basis(Sequence,RingMap) -- see basis -- basis or generating set of all or part of a ring, ideal or module
code(Sequence) -- see code -- display source code
directProduct(Sequence) -- see directProduct -- direct product
directSum(Sequence) -- see directSum -- direct sum of modules or maps
frames(Sequence) -- see frames -- get the frames associated to a closure
gcd(Sequence) -- see gcd -- greatest common divisor
gradedModule(Sequence)
HeaderType Sequence -- see HeaderType -- a class of lists with abbreviated constructors
help(Sequence) -- see help -- view documentation nodes
HH_ZZ Sequence (missing documentation)
hooks(Sequence) -- see hooks -- list hooks attached to a key
ideal(Sequence) -- see ideal(List) -- make an ideal
intersect(Sequence) -- see intersect -- compute an intersection
lcm(Sequence) -- see lcm -- least common multiple
Sequence # ZZ -- see List # ZZ -- get value from list, hash table, database, dictionary, or string
localDictionaries(Sequence) (missing documentation)
locate(Sequence) -- see locate -- locate source code
makePackageIndex(Sequence) -- see makePackageIndex -- create an index of installed packages
Matrix _ Sequence -- get entry of matrix
MutableMatrix _ Sequence -- see Matrix _ Sequence -- get entry of matrix
methods(Sequence) -- see methods -- list methods
Module / Sequence -- see Module / Module -- quotient module
monomialIdeal(Sequence) -- see monomialIdeal(Matrix) -- monomial ideal of lead monomials
MultigradedBettiTally Sequence -- see MultigradedBettiTally -- the class of all multigraded Betti tallies
MutableMatrix _ Sequence = Thing -- assignment to an element of a mutable matrix
options(Sequence) -- see options(Function) -- get the optional arguments and default values of a function or method
package(Sequence) -- see package -- get containing package
part(Sequence,RingMap) (missing documentation)
read(Sequence) -- read from a file
Ring / Sequence -- see Ring / Ideal -- make a quotient ring
RingElement Sequence -- evaluation of polynomials
runHooks(Sequence,Thing) -- see runHooks -- run the hook functions stored in an object
setRandomSeed(Sequence) -- see setRandomSeed -- set starting point for random number generator
span(Sequence) -- construct smallest interval
String ^ Sequence -- vertically stacked copies of a string
String _ Sequence -- substring
submatrixByDegrees(Matrix,Sequence,Sequence) -- see submatrixByDegrees -- submatrix consisting of rows and columns in an interval or box of degrees
subsets(Sequence,ZZ) -- see subsets -- produce the subsets of a set or list
substring(Sequence,String) -- see substring -- extract part of a string
SYNOPSIS(Sequence) -- see SYNOPSIS -- a standardized synopsis for use in documentation nodes
tensor(Sequence) -- see tensor -- tensor product
union(Sequence) -- see union -- compute the union
vars(Sequence) -- see vars(List) -- a sequence of variables
WrapperType Sequence -- see WrapperType -- a class of lists with abbreviated constructors

For the programmer

The object Sequence is a type, with ancestor classes VisibleList < BasicList < Thing.

The source of this document is in Macaulay2Doc/ov_lists.m2:721:0.