ZZ -- the class of all integers

Functions and methods returning an integer:

• # BasicList -- see # List -- length or cardinality of a list, hash table, dictionary, set, or string
• # Dictionary -- see # List -- length or cardinality of a list, hash table, dictionary, set, or string
• # HashTable -- see # List -- length or cardinality of a list, hash table, dictionary, set, or string
• # List -- length or cardinality of a list, hash table, dictionary, set, or string
• # Net -- see # List -- length or cardinality of a list, hash table, dictionary, set, or string
• # Sequence -- see # List -- length or cardinality of a list, hash table, dictionary, set, or string
• # Set -- see # List -- length or cardinality of a list, hash table, dictionary, set, or string
• # String -- see # List -- length or cardinality of a list, hash table, dictionary, set, or string
• ZZ * ZZ -- see * -- a binary operator, usually used for multiplication
• + ZZ -- see + -- a unary or binary operator, usually used for addition
• ZZ + ZZ -- see + -- a unary or binary operator, usually used for addition
• - ZZ -- see - -- a unary or binary operator, usually used for negation or subtraction
• ZZ - ZZ -- see - -- a unary or binary operator, usually used for negation or subtraction
• ZZ / ZZ -- see / -- a binary operator, usually used for division
• ZZ // ZZ -- see // -- a binary operator, usually used for quotient
• AtomicInt &= ZZ -- atomic fetch and bitwise and
• AtomicInt += ZZ -- atomic fetch and add
• AtomicInt -= ZZ -- atomic fetch and subtract
• AtomicInt ^^= ZZ -- atomic fetch and bitwise xor
• AtomicInt |= ZZ -- atomic fetch and bitwise or
• binomial -- binomial coefficient
• binomial(Number,Number) -- see binomial -- binomial coefficient
• binomial(ZZ,ZZ) -- see binomial -- binomial coefficient
• changeBase(String,ZZ) -- see changeBase -- change integer base
• char -- get the characteristic of the ring or field
• degreeLength -- the length of the degree vector
• depth -- depth of an object
• dim -- compute the Krull dimension
• dim(GaloisField) -- see dim(Ring) -- compute the Krull dimension
• fileMode(String) -- get file mode
• gcd(ZZ,ZZ) -- see gcd -- greatest common divisor
• height -- height of an object
• leadComponent(Vector) -- see leadComponent -- the leading component(s) of a vector or matrix
• length -- length of an object
• length(Module) -- compute the length of a module
• maxPosition(BasicList) -- see maxPosition -- position of the largest element
• minPosition(BasicList) -- see minPosition -- position of the smallest element
• nextPrime -- compute the smallest prime greater than or equal to a given number
• numColumns -- see numColumns(Matrix) -- number of columns in a matrix or mutable matrix
• numgens -- the number of generators
• numRows -- see numRows(Matrix) -- number of rows in a matrix or mutable matrix
• pdim -- compute the projective dimension
• position -- the first element of a list satisfying a condition
• powermod(ZZ,ZZ,ZZ) -- see powermod -- powers of integers mod N
• random(ZZ) -- see random(ZZ,ZZ) -- get a random integer or real number
• random(ZZ,ZZ) -- get a random integer or real number
• rank -- compute the rank
• regularity -- compute the Castelnuovo-Mumford regularity
• size2(CC) -- see size2 -- number of binary digits to the left of the point
• size2(RR) -- see size2 -- number of binary digits to the left of the point
• size2(RRi) -- see size2 -- number of binary digits to the left of the point
• size2(ZZ) -- see size2 -- number of binary digits to the left of the point
• width -- width of an object
• ZZ & ZZ -- logical and

Methods that use an integer:

• ZZ ! -- see ! -- factorial
• BasicList #? ZZ -- see #? -- check existence of value in a list, hash table, database, or string
• List #? ZZ -- see #? -- check existence of value in a list, hash table, database, or string
• Net #? ZZ -- see #? -- check existence of value in a list, hash table, database, or string
• Sequence #? ZZ -- see #? -- check existence of value in a list, hash table, database, or string
• String #? ZZ -- see #? -- check existence of value in a list, hash table, database, or string
• CC % ZZ -- see % -- a binary operator, usually used for remainder and reduction
• QQ % ZZ -- see % -- a binary operator, usually used for remainder and reduction
• RR % ZZ -- see % -- a binary operator, usually used for remainder and reduction
• ZZ % MonomialIdeal -- see % -- a binary operator, usually used for remainder and reduction
• ZZ % ZZ -- see % -- a binary operator, usually used for remainder and reduction
• CC * ZZ -- see * -- a binary operator, usually used for multiplication
• ProjectiveHilbertPolynomial * ZZ -- see * -- a binary operator, usually used for multiplication
• QQ * ZZ -- see * -- a binary operator, usually used for multiplication
• RR * ZZ -- see * -- a binary operator, usually used for multiplication
• RRi * ZZ -- see * -- a binary operator, usually used for multiplication
• ZZ * CC -- see * -- a binary operator, usually used for multiplication
• ZZ * ProjectiveHilbertPolynomial -- see * -- a binary operator, usually used for multiplication
• ZZ * QQ -- see * -- a binary operator, usually used for multiplication
• ZZ * RR -- see * -- a binary operator, usually used for multiplication
• ZZ * RRi -- see * -- a binary operator, usually used for multiplication
• CC + ZZ -- see + -- a unary or binary operator, usually used for addition
• QQ + ZZ -- see + -- a unary or binary operator, usually used for addition
• RR + ZZ -- see + -- a unary or binary operator, usually used for addition
• RRi + ZZ -- see + -- a unary or binary operator, usually used for addition
• ZZ + CC -- see + -- a unary or binary operator, usually used for addition
• ZZ + QQ -- see + -- a unary or binary operator, usually used for addition
• ZZ + RR -- see + -- a unary or binary operator, usually used for addition
• ZZ + RRi -- see + -- a unary or binary operator, usually used for addition
• CC - ZZ -- see - -- a unary or binary operator, usually used for negation or subtraction
• QQ - ZZ -- see - -- a unary or binary operator, usually used for negation or subtraction
• RR - ZZ -- see - -- a unary or binary operator, usually used for negation or subtraction
• RRi - ZZ -- see - -- a unary or binary operator, usually used for negation or subtraction
• ZZ - CC -- see - -- a unary or binary operator, usually used for negation or subtraction
• ZZ - QQ -- see - -- a unary or binary operator, usually used for negation or subtraction
• ZZ - RR -- see - -- a unary or binary operator, usually used for negation or subtraction
• ZZ - RRi -- see - -- a unary or binary operator, usually used for negation or subtraction
• CC / ZZ -- see / -- a binary operator, usually used for division
• QQ / ZZ -- see / -- a binary operator, usually used for division
• RR / ZZ -- see / -- a binary operator, usually used for division
• RRi / ZZ -- see / -- a binary operator, usually used for division
• ZZ / CC -- see / -- a binary operator, usually used for division
• ZZ / QQ -- see / -- a binary operator, usually used for division
• ZZ / RR -- see / -- a binary operator, usually used for division
• ZZ / RRi -- see / -- a binary operator, usually used for division
• CC // ZZ -- see // -- a binary operator, usually used for quotient
• QQ // ZZ -- see // -- a binary operator, usually used for quotient
• RR // ZZ -- see // -- a binary operator, usually used for quotient
• ZZ // MonomialIdeal -- see // -- a binary operator, usually used for quotient
• > ZZ
• >= ZZ
• ZZ ^^ ZZ -- see ^^ -- logical exclusive-or
• abs(ZZ) -- see abs -- absolute value function
• all(ZZ,Function) -- see all(BasicList,Function) -- whether all elements of a list satisfy a specified condition
• any(ZZ,Function) -- see any(BasicList,Function) -- whether any elements of a list satisfy a specified condition
• apply(ZZ,Function) -- apply a function to {0,..., n-1}
• ascii(ZZ) -- see ascii -- ASCII character conversion
• basis(InfiniteNumber,ZZ,Ideal) -- see basis -- basis or generating set of all or part of a ring, ideal or module
• basis(InfiniteNumber,ZZ,Matrix) -- see basis -- basis or generating set of all or part of a ring, ideal or module
• basis(InfiniteNumber,ZZ,Module) -- see basis -- basis or generating set of all or part of a ring, ideal or module
• basis(InfiniteNumber,ZZ,Ring) -- see basis -- basis or generating set of all or part of a ring, ideal or module
• basis(List,ZZ,Ideal) -- see basis -- basis or generating set of all or part of a ring, ideal or module
• basis(List,ZZ,Matrix) -- see basis -- basis or generating set of all or part of a ring, ideal or module
• basis(List,ZZ,Module) -- see basis -- basis or generating set of all or part of a ring, ideal or module
• basis(List,ZZ,Ring) -- see basis -- basis or generating set of all or part of a ring, ideal or module
• basis(ZZ,Ideal) -- see basis -- basis or generating set of all or part of a ring, ideal or module
• basis(ZZ,InfiniteNumber,Ideal) -- see basis -- basis or generating set of all or part of a ring, ideal or module
• basis(ZZ,InfiniteNumber,Matrix) -- see basis -- basis or generating set of all or part of a ring, ideal or module
• basis(ZZ,InfiniteNumber,Module) -- see basis -- basis or generating set of all or part of a ring, ideal or module
• basis(ZZ,InfiniteNumber,Ring) -- see basis -- basis or generating set of all or part of a ring, ideal or module
• basis(ZZ,List,Ideal) -- see basis -- basis or generating set of all or part of a ring, ideal or module
• basis(ZZ,List,Matrix) -- see basis -- basis or generating set of all or part of a ring, ideal or module
• basis(ZZ,List,Module) -- see basis -- basis or generating set of all or part of a ring, ideal or module
• basis(ZZ,List,Ring) -- see basis -- basis or generating set of all or part of a ring, ideal or module
• basis(ZZ,Matrix) -- see basis -- basis or generating set of all or part of a ring, ideal or module
• basis(ZZ,Module) -- see basis -- basis or generating set of all or part of a ring, ideal or module
• basis(ZZ,Ring) -- see basis -- basis or generating set of all or part of a ring, ideal or module
• basis(ZZ,RingMap) -- see basis -- basis or generating set of all or part of a ring, ideal or module
• basis(ZZ,ZZ,Ideal) -- see basis -- basis or generating set of all or part of a ring, ideal or module
• basis(ZZ,ZZ,Matrix) -- see basis -- basis or generating set of all or part of a ring, ideal or module
• basis(ZZ,ZZ,Module) -- see basis -- basis or generating set of all or part of a ring, ideal or module
• basis(ZZ,ZZ,Ring) -- see basis -- basis or generating set of all or part of a ring, ideal or module
• BesselJ(ZZ,Number) -- see BesselJ -- Bessel function of the first kind
• BesselY(ZZ,Number) -- see BesselY -- Bessel function of the second kind
• BettiTally ZZ -- see BettiTally -- the class of all Betti tallies
• hilbertPolynomial(ZZ,BettiTally) -- see BettiTally -- the class of all Betti tallies
• hilbertSeries(ZZ,BettiTally) -- see BettiTally -- the class of all Betti tallies
• lift(BettiTally,type of ZZ) -- see BettiTally -- the class of all Betti tallies
• ZZ * BettiTally -- see BettiTally -- the class of all Betti tallies
• binomial(RingElement,ZZ) -- see binomial -- binomial coefficient
• changeBase(String,ZZ,ZZ) -- see changeBase -- change integer base
• changeBase(ZZ,ZZ) -- see changeBase -- change integer base
• check(ZZ) -- see check -- perform tests of a package
• check(ZZ,Package) -- see check -- perform tests of a package
• check(ZZ,String) -- see check -- perform tests of a package
• code(ZZ) -- see code -- display source code
• columnAdd(MutableMatrix,ZZ,Number,ZZ) -- see columnAdd -- add a multiple of one column to another
• columnAdd(MutableMatrix,ZZ,RingElement,ZZ) -- see columnAdd -- add a multiple of one column to another
• columnMult(MutableMatrix,ZZ,Number) -- see columnMult -- multiply a column by a ring element
• columnMult(MutableMatrix,ZZ,RingElement) -- see columnMult -- multiply a column by a ring element
• columnPermute(MutableMatrix,ZZ,List) -- see columnPermute -- permute some columns
• columnSwap(MutableMatrix,ZZ,ZZ) -- see columnSwap -- interchange columns
• compareExchange(AtomicInt,ZZ,ZZ) -- see compareExchange -- compare and possibly exchange the value of an atomic integer
• compositions(ZZ) -- see compositions -- list the compositions of an integer
• compositions(ZZ,ZZ) -- see compositions -- list the compositions of an integer
• concatenate(ZZ) -- see concatenate -- join strings
• debug(ZZ) (missing documentation)
• degreesMonoid(ZZ) -- see degreesRing(List) -- the ring or monoid of degrees
• degreesRing(ZZ) -- see degreesRing(List) -- the ring or monoid of degrees
• diagonalMatrix(Ring,ZZ,ZZ,List) -- make a diagonal matrix from a list
• diagonalMatrix(RingFamily,ZZ,ZZ,List) -- see diagonalMatrix(Ring,ZZ,ZZ,List) -- make a diagonal matrix from a list
• diagonalMatrix(ZZ,ZZ,List) -- see diagonalMatrix(Ring,ZZ,ZZ,List) -- make a diagonal matrix from a list
• diff(ProjectiveHilbertPolynomial,ZZ)
• divideByVariable(Matrix,RingElement,ZZ) -- see divideByVariable -- divide all columns by a (power of a) variable
• drop(BasicList,ZZ) -- see drop -- drop some elements from a list or sequence
• Ideal == ZZ -- see equality and containment
• ZZ == Ideal -- see equality and containment
• examples(ZZ) -- see examples -- list the examples in documentation
• exchange(AtomicInt,ZZ) -- see exchange -- exchange the value of an atomic integer
• Ext^ZZ(Matrix,Ideal) -- see Ext^ZZ(Matrix,Module) -- map between Ext modules
• Ext^ZZ(Matrix,Module) -- map between Ext modules
• Ext^ZZ(Matrix,Ring) -- see Ext^ZZ(Matrix,Module) -- map between Ext modules
• Ext^ZZ(Ideal,Matrix) -- see Ext^ZZ(Module,Matrix) -- map between Ext modules
• Ext^ZZ(Module,Matrix) -- map between Ext modules
• Ext^ZZ(Ring,Matrix) -- see Ext^ZZ(Module,Matrix) -- map between Ext modules
• Ext^ZZ(Ideal,Ideal) -- see Ext^ZZ(Module,Module) -- Ext module
• Ext^ZZ(Ideal,Module) -- see Ext^ZZ(Module,Module) -- Ext module
• Ext^ZZ(Ideal,Ring) -- see Ext^ZZ(Module,Module) -- Ext module
• Ext^ZZ(Module,Ideal) -- see Ext^ZZ(Module,Module) -- Ext module
• Ext^ZZ(Module,Module) -- Ext module
• Ext^ZZ(Module,Ring) -- see Ext^ZZ(Module,Module) -- Ext module
• Ext^ZZ(Ring,Ideal) -- see Ext^ZZ(Module,Module) -- Ext module
• Ext^ZZ(Ring,Module) -- see Ext^ZZ(Module,Module) -- Ext module
• Ext^ZZ(Ring,Ring) -- see Ext^ZZ(Module,Module) -- Ext module
• exteriorPower(ZZ,Matrix) -- exterior power of a matrix
• exteriorPower(ZZ,Module) -- exterior power of a module
• factor(ZZ) -- see factor(RingElement) -- factor a ring element
• Fano(ZZ,Ideal) -- see Fano -- compute the ideal of a Fano scheme in the Grassmannian
• Fano(ZZ,Ideal,Ring) -- see Fano -- compute the ideal of a Fano scheme in the Grassmannian
• fileMode(ZZ,File) -- set file mode
• fileMode(ZZ,String) -- set file mode
• fillMatrix(MutableMatrix,ZZ) -- see fillMatrix -- fill a mutable matrix with random numbers
• fittingIdeal(ZZ,Matrix) -- see fittingIdeal -- Fitting ideal of a module
• fittingIdeal(ZZ,Module) -- see fittingIdeal -- Fitting ideal of a module
• gcd(QQ,ZZ) -- see gcd -- greatest common divisor
• gcd(RingElement,ZZ) -- see gcd -- greatest common divisor
• gcd(ZZ) -- see gcd -- greatest common divisor
• gcd(ZZ,QQ) -- see gcd -- greatest common divisor
• gcd(ZZ,RingElement) -- see gcd -- greatest common divisor
• gcdCoefficients(RingElement,ZZ) -- see gcdCoefficients -- greatest common divisor with coefficients
• gcdCoefficients(ZZ,RingElement) -- see gcdCoefficients -- greatest common divisor with coefficients
• gcdCoefficients(ZZ,ZZ) -- see gcdCoefficients -- greatest common divisor with coefficients
• Ideal _ ZZ -- see generators of rings, ideals, and modules
• Matrix _ ZZ -- see generators of rings, ideals, and modules
• Module _ ZZ -- see generators of rings, ideals, and modules
• genericMatrix(Ring,RingElement,ZZ,ZZ) -- see genericMatrix -- make a generic matrix of variables
• genericMatrix(Ring,ZZ,ZZ) -- see genericMatrix -- make a generic matrix of variables
• genericSkewMatrix(Ring,RingElement,ZZ) -- see genericSkewMatrix -- make a generic skew symmetric matrix of variables
• genericSkewMatrix(Ring,ZZ) -- see genericSkewMatrix -- make a generic skew symmetric matrix of variables
• genericSymmetricMatrix(Ring,RingElement,ZZ) -- see genericSymmetricMatrix -- make a generic symmetric matrix
• genericSymmetricMatrix(Ring,ZZ) -- see genericSymmetricMatrix -- make a generic symmetric matrix
• Monoid _ ZZ -- see get a ring variable by index -- get a ring variable by index
• Ring _ ZZ -- see get a ring variable by index -- get a ring variable by index
• getPrimeWithRootOfUnity(ZZ,ZZ) -- see getPrimeWithRootOfUnity -- find a prime p with a primitive n-th root of unity r in ZZ/p
• GF(ZZ) -- see GF -- make a finite field
• GF(ZZ,ZZ) -- see GF -- make a finite field
• Grassmannian(ZZ,ZZ) -- see Grassmannian -- compute the ideal of the Grassmannian of linear subspaces of a vector space
• Grassmannian(ZZ,ZZ,PolynomialRing) -- see Grassmannian -- compute the ideal of the Grassmannian of linear subspaces of a vector space
• help(ZZ) -- see headlines -- display a table of documentation headlines
• infoHelp(ZZ) -- see headlines -- display a table of documentation headlines
• viewHelp(ZZ) -- see headlines -- display a table of documentation headlines
• HH^ZZ Module -- local cohomology of a module
• HH_ZZ Sequence (missing documentation)
• hilbertFunction(ZZ,Ideal) -- see hilbertFunction -- the Hilbert function
• hilbertFunction(ZZ,Module) -- see hilbertFunction -- the Hilbert function
• hilbertFunction(ZZ,Ring) -- see hilbertFunction -- the Hilbert function
• hooks(ZZ) -- see hooks -- list hooks attached to a key
• Ideal ^ ZZ -- power of an ideal
• MonomialIdeal ^ ZZ -- see Ideal ^ ZZ -- power of an ideal
• imaginaryPart(ZZ) -- see imaginaryPart -- imaginary part
• insert(ZZ,Thing,BasicList) -- see insert -- copy a list, inserting an element
• interval(QQ,ZZ) -- see interval -- construct an interval
• interval(RR,ZZ) -- see interval -- construct an interval
• interval(ZZ) -- see interval -- construct an interval
• interval(ZZ,QQ) -- see interval -- construct an interval
• interval(ZZ,RR) -- see interval -- construct an interval
• interval(ZZ,ZZ) -- see interval -- construct an interval
• isMember(ZZ,RRi) -- see isMember(QQ,RRi) -- membership test in an interval
• isPrime(ZZ) -- see isPrime -- whether a integer or polynomial is prime
• isPseudoprime(ZZ) -- whether an integer is probably prime
• isReal(ZZ) -- see isReal -- whether a number is real
• isUnit(ZZ) -- see isUnit -- whether a ring element is a unit
• kill(ZZ) -- kill a process
• koszul(ZZ,Matrix) -- a differential in a Koszul complex
• lcm(QQ,ZZ) -- see lcm -- least common multiple
• lcm(RingElement,ZZ) -- see lcm -- least common multiple
• lcm(ZZ) -- see lcm -- least common multiple
• lcm(ZZ,QQ) -- see lcm -- least common multiple
• lcm(ZZ,RingElement) -- see lcm -- least common multiple
• lcm(ZZ,ZZ) -- see lcm -- least common multiple
• leadTerm(ZZ,Ideal) -- get the ideal of lead polynomials
• leadTerm(ZZ,GroebnerBasis) -- see leadTerm(ZZ,Matrix) -- get the matrix of lead polynomials of each column
• leadTerm(ZZ,Matrix) -- get the matrix of lead polynomials of each column
• leadTerm(ZZ,Vector) -- see leadTerm(ZZ,Matrix) -- get the matrix of lead polynomials of each column
• leadTerm(ZZ,RingElement) -- get the lead polynomials using part of the monomial order
• CC << ZZ -- see left shift
• RR << ZZ -- see left shift
• RRi << ZZ -- see left shift
• ZZ << ZZ -- see left shift
• lift(CC,type of ZZ) -- see lift -- lift to another ring
• lift(Ideal,type of ZZ) -- see lift -- lift to another ring
• lift(Matrix,type of CC_*,type of ZZ) -- see lift -- lift to another ring
• lift(Matrix,type of QQ,type of ZZ) -- see lift -- lift to another ring
• lift(Matrix,type of RR_*,type of ZZ) -- see lift -- lift to another ring
• lift(Matrix,type of RRi_*,type of ZZ) -- see lift -- lift to another ring
• lift(Matrix,type of ZZ,type of ZZ) -- see lift -- lift to another ring
• lift(QQ,type of ZZ) -- see lift -- lift to another ring
• lift(RR,type of ZZ) -- see lift -- lift to another ring
• lift(RRi,type of ZZ) -- see lift -- lift to another ring
• lift(ZZ,type of ZZ) -- see lift -- lift to another ring
• BasicList # ZZ -- see List # ZZ -- get value from list, hash table, database, dictionary, or string
• List # ZZ -- get value from list, hash table, database, dictionary, or string
• Net # ZZ -- see List # ZZ -- get value from list, hash table, database, dictionary, or string
• Sequence # ZZ -- see List # ZZ -- get value from list, hash table, database, dictionary, or string
• String # ZZ -- see List # ZZ -- get value from list, hash table, database, dictionary, or string
• locate(ZZ) -- see locate -- locate source code
• map(Module,Module,ZZ) -- see map(Module,Module,RingElement) -- construct the map induced by multiplication by a ring element on the generators
• map(Module,ZZ,ZZ) -- see map(Module,Module,RingElement) -- construct the map induced by multiplication by a ring element on the generators
• map(Module,ZZ,Function) -- create a matrix from a free module by specifying a function that gives each entry
• map(Module,ZZ,List) -- create a matrix by giving a sparse or dense list of entries
• Matrix ^ ZZ -- power
• MutableMatrix ^ ZZ -- see Matrix ^ ZZ -- power
• Matrix ^** ZZ (missing documentation)
• minors(ZZ,Matrix) -- ideal generated by minors
• Module ^ ZZ -- direct sum
• Module ^** ZZ -- tensor power
• mutableIdentity(Ring,ZZ) -- make a mutable identity matrix
• mutableIdentity(RingFamily,ZZ) -- see mutableIdentity(Ring,ZZ) -- make a mutable identity matrix
• mutableMatrix(Ring,ZZ,ZZ) -- make a mutable matrix filled with zeroes
• mutableMatrix(RingFamily,ZZ,ZZ) -- see mutableMatrix(Ring,ZZ,ZZ) -- make a mutable matrix filled with zeroes
• Net ^ ZZ -- raise a net or string
• String ^ ZZ -- see Net ^ ZZ -- raise a net or string
• String | ZZ -- see Net | Net -- join strings or nets
• ZZ | String -- see Net | Net -- join strings or nets
• new AtomicInt from ZZ -- initialize an atomic integer
• new ZZ from AtomicInt -- load an atomic integer
• numeric(ZZ,CC) -- see numeric -- convert to floating point
• numeric(ZZ,Constant) -- see numeric -- convert to floating point
• numeric(ZZ,IndeterminateNumber) -- see numeric -- convert to floating point
• numeric(ZZ,InfiniteNumber) -- see numeric -- convert to floating point
• numeric(ZZ,Matrix) -- see numeric -- convert to floating point
• numeric(ZZ,Number) -- see numeric -- convert to floating point
• numeric(ZZ,RRi) -- see numeric -- convert to floating point
• numeric(ZZ,Vector) -- see numeric -- convert to floating point
• numeric(ZZ,VisibleList) -- see numeric -- convert to floating point
• numericInterval(ZZ,Constant) -- see numericInterval -- convert a constant to an interval
• options(ZZ) -- see options(Function) -- get the optional arguments and default values of a function or method
• pack(BasicList,ZZ) -- see pack -- pack elements of a list or string into several shorter lists or strings
• pack(String,ZZ) -- see pack -- pack elements of a list or string into several shorter lists or strings
• pack(ZZ,BasicList) -- see pack -- pack elements of a list or string into several shorter lists or strings
• pack(ZZ,String) -- see pack -- pack elements of a list or string into several shorter lists or strings
• pad(Net,ZZ) -- see pad -- pad a string or net with spaces
• pad(String,ZZ) -- see pad -- pad a string or net with spaces
• pad(ZZ,Net) -- see pad -- pad a string or net with spaces
• pad(ZZ,String) -- see pad -- pad a string or net with spaces
• part(InfiniteNumber,ZZ,Number) -- see part -- select terms of a polynomial by degree(s) or weight(s)
• part(InfiniteNumber,ZZ,RingElement) -- see part -- select terms of a polynomial by degree(s) or weight(s)
• part(InfiniteNumber,ZZ,VisibleList,RingElement) -- see part -- select terms of a polynomial by degree(s) or weight(s)
• part(Nothing,ZZ,RingElement) -- see part -- select terms of a polynomial by degree(s) or weight(s)
• part(Nothing,ZZ,VisibleList,RingElement) -- see part -- select terms of a polynomial by degree(s) or weight(s)
• part(ZZ,InfiniteNumber,Number) -- see part -- select terms of a polynomial by degree(s) or weight(s)
• part(ZZ,InfiniteNumber,RingElement) -- see part -- select terms of a polynomial by degree(s) or weight(s)
• part(ZZ,InfiniteNumber,VisibleList,RingElement) -- see part -- select terms of a polynomial by degree(s) or weight(s)
• part(ZZ,Nothing,RingElement) -- see part -- select terms of a polynomial by degree(s) or weight(s)
• part(ZZ,Nothing,VisibleList,RingElement) -- see part -- select terms of a polynomial by degree(s) or weight(s)
• part(ZZ,Number) -- see part -- select terms of a polynomial by degree(s) or weight(s)
• part(ZZ,RingElement) -- see part -- select terms of a polynomial by degree(s) or weight(s)
• part(ZZ,VisibleList,RingElement) -- see part -- select terms of a polynomial by degree(s) or weight(s)
• part(ZZ,ZZ,Number) -- see part -- select terms of a polynomial by degree(s) or weight(s)
• part(ZZ,ZZ,RingElement) -- see part -- select terms of a polynomial by degree(s) or weight(s)
• part(ZZ,ZZ,VisibleList,RingElement) -- see part -- select terms of a polynomial by degree(s) or weight(s)
• part(ZZ,Ideal) (missing documentation)
• part(ZZ,Matrix) (missing documentation)
• part(ZZ,Module) (missing documentation)
• part(ZZ,Ring) (missing documentation)
• Partition _ ZZ -- get element
• partitions(ZZ) -- see partitions -- list the partitions of an integer
• partitions(ZZ,ZZ) -- see partitions -- list the partitions of an integer
• peek'(ZZ,Thing) -- see peek' -- examine contents of an object
• permanents(ZZ,Matrix) -- see permanents -- ideal generated by square permanents of a matrix
• permutations(ZZ) -- see permutations -- produce all permutations of a list
• pfaffians(ZZ,Matrix) -- see pfaffians -- ideal generated by Pfaffians
• position(ZZ,Function) -- see position -- the first element of a list satisfying a condition
• product(ZZ,Function) -- product of consecutive values of a function
• projectiveHilbertPolynomial(ZZ) -- see projectiveHilbertPolynomial -- Hilbert polynomial of projective space
• projectiveHilbertPolynomial(ZZ,ZZ) -- see projectiveHilbertPolynomial -- Hilbert polynomial of projective space
• ProjectiveHilbertPolynomial ZZ -- value of polynomial
• quotientRemainder(ZZ,ZZ) -- see quotientRemainder(RingElement,RingElement) -- quotient and remainder
• random(ZZ,Module) -- see random(List,Module) -- get a random vector in the module
• random(ZZ,Ideal) -- get a random homogeneous element from a graded ideal
• random(ZZ,Ring) -- get a random homogeneous element from a graded ring
• randomMutableMatrix(ZZ,ZZ,RR,ZZ) -- a random mutable matrix of integers
• randomSubset(Set,ZZ) -- see randomSubset
• randomSubset(VisibleList,ZZ) -- see randomSubset
• randomSubset(ZZ) -- see randomSubset
• randomSubset(ZZ,ZZ) -- see randomSubset
• read(File,ZZ) -- read from a file
• realPart(ZZ) -- see realPart -- real part
• regex(String,ZZ,String) -- see regex -- evaluate a regular expression search
• regex(String,ZZ,ZZ,String) -- see regex -- evaluate a regular expression search
• remove(MutableList,ZZ) -- see remove -- remove an entry from a mutable hash table, list, or database
• replace(ZZ,Thing,BasicList) -- copy a list, replacing an element
• CC >> ZZ -- see right shift
• RR >> ZZ -- see right shift
• RRi >> ZZ -- see right shift
• ZZ >> ZZ -- see right shift
• Ring / ZZ -- see Ring / Ideal -- make a quotient ring
• Ring ^ ZZ -- make a free module
• RingFamily ^ ZZ -- see Ring ^ ZZ -- make a free module
• MonoidElement ^ ZZ -- see RingElement ^ ZZ -- power
• RingElement ^ ZZ -- power
• RingMap ^ ZZ -- power
• rotate(ZZ,VisibleList) -- see rotate -- rotate a list
• round(ZZ) -- see round -- round a number
• round(ZZ,CC) -- see round -- round a number
• round(ZZ,Number) -- see round -- round a number
• round(ZZ,RR) -- see round -- round a number
• round(ZZ,RRi) -- see round -- round a number
• rowAdd(MutableMatrix,ZZ,Number,ZZ) -- see rowAdd -- add a multiple of one row to another
• rowAdd(MutableMatrix,ZZ,RingElement,ZZ) -- see rowAdd -- add a multiple of one row to another
• rowMult(MutableMatrix,ZZ,Number) -- see rowMult -- multiply a row by a ring element
• rowMult(MutableMatrix,ZZ,RingElement) -- see rowMult -- multiply a row by a ring element
• rowPermute(MutableMatrix,ZZ,List) -- see rowPermute -- permute some rows
• rowSwap(MutableMatrix,ZZ,ZZ) -- see rowSwap -- interchange rows
• scan(ZZ,Function) -- see scan -- apply a function to each element in a list or sequence
• Schubert(ZZ,ZZ,VisibleList) -- see Schubert -- compute the Plücker ideal of a Schubert variety
• select(ZZ,Set,Function) -- see select(Set,Function) -- select a part of a set
• select(ZZ,BasicList,Function) -- select a limited number of elements from a list
• select(ZZ,Function) -- select integers
• selectInSubring(ZZ,Matrix) -- see selectInSubring -- select columns in a subring
• selectKeys(ZZ,HashTable,Function) -- see selectKeys -- select a part of a hash table by keys
• selectPairs(ZZ,BasicList,Function) -- see selectPairs -- select a part of a hash table by pairs
• selectPairs(ZZ,HashTable,Function) -- see selectPairs -- select a part of a hash table by pairs
• select(ZZ,HashTable,Function) -- see selectValues -- select part of a hash table by values
• selectValues(ZZ,HashTable,Function) -- see selectValues -- select part of a hash table by values
• separate(String,ZZ,String) -- see separate -- split a string into substrings using a regular expression
• setRandomSeed(ZZ) -- see setRandomSeed -- set starting point for random number generator
• someTerms(RingElement,ZZ,ZZ) -- see someTerms -- select some terms of a polynomial
• store(AtomicInt,ZZ) -- see store -- store the value of an atomic integer
• String _ ZZ -- get element from string
• submatrixByDegrees(Matrix,ZZ,ZZ) -- see submatrixByDegrees -- submatrix consisting of rows and columns in an interval or box of degrees
• subsets(List,ZZ) -- see subsets -- produce the subsets of a set or list
• subsets(Sequence,ZZ) -- see subsets -- produce the subsets of a set or list
• subsets(Set,ZZ) -- see subsets -- produce the subsets of a set or list
• subsets(ZZ) -- see subsets -- produce the subsets of a set or list
• subsets(ZZ,ZZ) -- see subsets -- produce the subsets of a set or list
• substitute(Matrix,ZZ) -- see substitute -- substituting values for variables
• substring(String,ZZ) -- see substring -- extract part of a string
• substring(String,ZZ,ZZ) -- see substring -- extract part of a string
• substring(ZZ,String) -- see substring -- extract part of a string
• substring(ZZ,ZZ,String) -- see substring -- extract part of a string
• sum(ZZ,Function) -- sum consecutive values of a function
• switch(ZZ,ZZ,BasicList) -- see switch -- copy a list, switching two elements
• symmetricPower(ZZ,Matrix) -- see symmetricPower -- symmetric power
• symmetricPower(ZZ,Module) -- see symmetricPower -- symmetric power
• take(BasicList,ZZ) -- see take -- take some elements from a list or sequence
• take(Thing,ZZ) -- see take -- take some elements from a list or sequence
• Monoid ^** ZZ -- see tensor(Monoid,Monoid) -- tensor product of monoids
• Ring ^** ZZ -- see tensor(Monoid,Monoid) -- tensor product of monoids
• tests(ZZ,Package) -- see tests -- locate a package's tests
• tests(ZZ,String) -- see tests -- locate a package's tests
• toCC(ZZ) -- see toCC -- convert to high-precision complex number
• toCC(ZZ,CC) -- see toCC -- convert to high-precision complex number
• toCC(ZZ,QQ) -- see toCC -- convert to high-precision complex number
• toCC(ZZ,QQ,QQ) -- see toCC -- convert to high-precision complex number
• toCC(ZZ,QQ,RR) -- see toCC -- convert to high-precision complex number
• toCC(ZZ,QQ,ZZ) -- see toCC -- convert to high-precision complex number
• toCC(ZZ,RR) -- see toCC -- convert to high-precision complex number
• toCC(ZZ,RR,QQ) -- see toCC -- convert to high-precision complex number
• toCC(ZZ,RR,RR) -- see toCC -- convert to high-precision complex number
• toCC(ZZ,RR,ZZ) -- see toCC -- convert to high-precision complex number
• toCC(ZZ,ZZ) -- see toCC -- convert to high-precision complex number
• toCC(ZZ,ZZ,QQ) -- see toCC -- convert to high-precision complex number
• toCC(ZZ,ZZ,RR) -- see toCC -- convert to high-precision complex number
• toCC(ZZ,ZZ,ZZ) -- see toCC -- convert to high-precision complex number
• Tor_ZZ(Ideal,Ideal) -- see Tor_ZZ(Module,Module) -- compute a Tor module
• Tor_ZZ(Ideal,Module) -- see Tor_ZZ(Module,Module) -- compute a Tor module
• Tor_ZZ(Ideal,Ring) -- see Tor_ZZ(Module,Module) -- compute a Tor module
• Tor_ZZ(Module,Ideal) -- see Tor_ZZ(Module,Module) -- compute a Tor module
• Tor_ZZ(Module,Module) -- compute a Tor module
• Tor_ZZ(Module,Ring) -- see Tor_ZZ(Module,Module) -- compute a Tor module
• Tor_ZZ(Ring,Ideal) -- see Tor_ZZ(Module,Module) -- compute a Tor module
• Tor_ZZ(Ring,Module) -- see Tor_ZZ(Module,Module) -- compute a Tor module
• Tor_ZZ(Ring,Ring) -- see Tor_ZZ(Module,Module) -- compute a Tor module
• truncate(BettiTally,InfiniteNumber,ZZ) (missing documentation)
• truncate(BettiTally,ZZ,InfiniteNumber) (missing documentation)
• truncate(BettiTally,ZZ,ZZ) (missing documentation)
• truncate(Nothing,ZZ,Matrix) (missing documentation)
• truncate(ZZ,Ideal)
• truncate(ZZ,Matrix)
• truncate(ZZ,Module)
• truncate(ZZ,Ring)
• truncate(ZZ,ZZ,Matrix) (missing documentation)
• truncateOutput(ZZ) -- see truncateOutput
• uniquePermutations(ZZ) -- see uniquePermutations -- produce all unique permutations of a list
• vars(ZZ) -- see vars(List) -- a sequence of variables
• VirtualTally ^** ZZ -- Cartesian power of sets and tallies
• VisibleList _ ZZ -- get element from list
• wedgeProduct(ZZ,ZZ,Module) -- the exterior multiplication map
• ZZ .. ZZ -- sequences of consecutive integers
• ZZ ..< ZZ -- sequences of consecutive integers
• ZZ : Thing -- repeat an item
• ZZ _ Module -- get the zero vector in a module
• ZZ | ZZ -- logical or
• ZZ ~ -- logical not

For the programmer

The object ZZ is a ring, with ancestor classes Number < Thing.

The source of this document is in Macaulay2Doc/ov_rings.m2:185:0.