QQ -- the class of all rational numbers

i1 : 1/2 + 3/5

     11
o1 = --
     10

o1 : QQ

Functions and methods returning a rational number:

• QQ * QQ -- see * -- a binary operator, usually used for multiplication
• QQ * ZZ -- see * -- a binary operator, usually used for multiplication
• ZZ * QQ -- see * -- a binary operator, usually used for multiplication
• + QQ -- see + -- a unary or binary operator, usually used for addition
• QQ + QQ -- see + -- a unary or binary operator, usually used for addition
• QQ + ZZ -- see + -- a unary or binary operator, usually used for addition
• ZZ + QQ -- see + -- a unary or binary operator, usually used for addition
• - QQ -- see - -- a unary or binary operator, usually used for negation or subtraction
• QQ - QQ -- 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
• ZZ - QQ -- see - -- a unary or binary operator, usually used for negation or subtraction
• QQ / QQ -- see / -- a binary operator, usually used for division
• QQ / ZZ -- see / -- a binary operator, usually used for division
• ZZ / QQ -- see / -- a binary operator, usually used for division
• gcd(QQ,QQ) -- see gcd -- greatest common divisor
• gcd(QQ,ZZ) -- see gcd -- greatest common divisor
• gcd(ZZ,QQ) -- see gcd -- greatest common divisor
• latticeVolume -- Returning the lattice volume of a polyhedron.
• volume -- computes the volume of a polytope

Methods that use a rational number:

• QQ ! -- see ! -- factorial
• CC % QQ -- see % -- a binary operator, usually used for remainder and reduction
• QQ % QQ -- see % -- a binary operator, usually used for remainder and reduction
• QQ % ZZ -- see % -- a binary operator, usually used for remainder and reduction
• RR % QQ -- see % -- a binary operator, usually used for remainder and reduction
• CC * QQ -- see * -- a binary operator, usually used for multiplication
• QQ * CC -- see * -- a binary operator, usually used for multiplication
• QQ * RR -- see * -- a binary operator, usually used for multiplication
• QQ * RRi -- see * -- a binary operator, usually used for multiplication
• RR * QQ -- see * -- a binary operator, usually used for multiplication
• RRi * QQ -- see * -- a binary operator, usually used for multiplication
• CC + QQ -- see + -- a unary or binary operator, usually used for addition
• QQ + CC -- see + -- a unary or binary operator, usually used for addition
• QQ + RR -- see + -- a unary or binary operator, usually used for addition
• QQ + RRi -- see + -- a unary or binary operator, usually used for addition
• RR + QQ -- see + -- a unary or binary operator, usually used for addition
• RRi + QQ -- see + -- a unary or binary operator, usually used for addition
• CC - QQ -- see - -- a unary or binary operator, usually used for negation or subtraction
• QQ - CC -- see - -- a unary or binary operator, usually used for negation or subtraction
• QQ - RR -- see - -- a unary or binary operator, usually used for negation or subtraction
• QQ - RRi -- see - -- a unary or binary operator, usually used for negation or subtraction
• RR - QQ -- see - -- a unary or binary operator, usually used for negation or subtraction
• RRi - QQ -- see - -- a unary or binary operator, usually used for negation or subtraction
• CC / QQ -- see / -- a binary operator, usually used for division
• QQ / CC -- see / -- a binary operator, usually used for division
• QQ / RR -- see / -- a binary operator, usually used for division
• QQ / RRi -- see / -- a binary operator, usually used for division
• RR / QQ -- see / -- a binary operator, usually used for division
• RRi / QQ -- see / -- a binary operator, usually used for division
• CC // QQ -- see // -- a binary operator, usually used for quotient
• QQ // QQ -- see // -- a binary operator, usually used for quotient
• QQ // ZZ -- see // -- a binary operator, usually used for quotient
• RR // QQ -- see // -- a binary operator, usually used for quotient
• abs(QQ) -- see abs -- absolute value function
• QQ * BettiTally -- see BettiTally -- the class of all Betti tallies
• CC == QQ (missing documentation)
• crossPolytope(ZZ,QQ) -- see crossPolytope -- computes the d-dimensional crosspolytope with diameter 2s
• factor(QQ) -- see factor(RingElement) -- factor a ring element
• hypercube(ZZ,QQ) -- see hypercube -- Returns the d-dimensional hypercube
• hypercube(ZZ,QQ,QQ) -- see hypercube -- Returns the d-dimensional hypercube
• hypercube(ZZ,QQ,ZZ) -- see hypercube -- Returns the d-dimensional hypercube
• hypercube(ZZ,ZZ,QQ) -- see hypercube -- Returns the d-dimensional hypercube
• imaginaryPart(QQ) -- see imaginaryPart -- imaginary part
• interval(QQ) -- see interval -- construct an interval
• interval(QQ,QQ) -- see interval -- construct an interval
• interval(QQ,RR) -- see interval -- construct an interval
• interval(QQ,ZZ) -- see interval -- construct an interval
• interval(RR,QQ) -- see interval -- construct an interval
• interval(ZZ,QQ) -- see interval -- construct an interval
• isMember(QQ,RRi) -- membership test in an interval
• isReal(QQ) -- see isReal -- whether a number is real
• lcm(QQ,QQ) -- see lcm -- least common multiple
• lcm(QQ,ZZ) -- see lcm -- least common multiple
• lcm(ZZ,QQ) -- see lcm -- least common multiple
• lift(CC,type of QQ) -- see lift -- lift to another ring
• lift(Ideal,type of QQ) -- see lift -- lift to another ring
• lift(Matrix,type of CC_*,type of QQ) -- see lift -- lift to another ring
• lift(Matrix,type of QQ,type of QQ) -- 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 QQ) -- see lift -- lift to another ring
• lift(Matrix,type of RRi_*,type of QQ) -- see lift -- lift to another ring
• lift(QQ,type of QQ) -- see lift -- lift to another ring
• lift(QQ,type of ZZ) -- see lift -- lift to another ring
• lift(RR,type of QQ) -- see lift -- lift to another ring
• lift(RRi,type of QQ) -- see lift -- lift to another ring
• promote(RR,type of QQ) -- see promote -- promote to another ring
• QQ * Polyhedron -- rescales a polyhedron by a given positive factor
• QQ == CC (missing documentation)
• QQ == QQ (missing documentation)
• QQ == RR (missing documentation)
• QQ == RRi (missing documentation)
• QQ == ZZ (missing documentation)
• realPart(QQ) -- see realPart -- real part
• round(QQ) -- see round -- round a number
• RR == QQ (missing documentation)
• RRi == QQ (missing documentation)
• simplex(ZZ,QQ) -- see simplex -- Produces a full-dimensional simplex
• toCC(QQ) -- 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,QQ) -- see toCC -- convert to high-precision complex number
• toCC(ZZ,ZZ,QQ) -- see toCC -- convert to high-precision complex number
• ZZ == QQ (missing documentation)

For the programmer

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