up previous next
2.2.3 Commands and Functions returning INT
abs absolute value of a number
AffHilbert the affine Hilbert function
AffHilbertFn the affine Hilbert function
AsINT convert into an INT
binomial binomial coefficient
BinomialRepr, BinomialReprShift binomial representation of integers
Bool01 Convert a boolean to an integer
ceil round rational up to integer
characteristic the characteristic of a ring
ContFrac continued fraction quotients
count count the objects in a list
deg the standard degree of a polynomial or moduleelem
den denominator
Depth Depth of a module
dim the dimension of a ring or quotient object
div quotient for integers
EvalHilbertFn evaluate the Hilbert function
factorial factorial function
FactorMultiplicity multiplicity of a factor of an integer
floor round rational down to integer
gcd greatest common divisor
GradingDim Number of components in weighted degree
hilbert the Hilbert-Poincare' function
HilbertFn the Hilbert function
ILogBase integer part of the logarithm
IndetIndex index of an indeterminate
iroot integer part of r-th root of an integer
isqrt (truncated) square root of an integer
lcm least common multiple
len the length of an object
LogCardinality extension degree of a finite field
LPosn the position of the leading power-product in a ModuleElem
MayerVietorisTreeN1 N-1st Betti multidegrees of monomial ideals using Mayer-Vietoris trees
MinPowerInIdeal the mininum power of a polynomial is an ideal
mod remainder for integers
multiplicity the multiplicity (degree) of a ring or quotient object
NextPrime find the next largest prime number
NextProbPrime find the next largest probable prime number
num numerator
NumCols number of columns in a matrix
NumCompts the number of components
NumIndets number of indeterminates
NumPartitions number of partitions of an integer
NumRows number of rows in a matrix
NumTerms number of terms in a polynomial
PowerMod compute a modular power efficiently
PrimitiveRoot find a primitive root modulo a prime
random random integer
randomized randomize the coefficients of a given polynomial
rank rank of a matrix or module
Reg, Reg5 Castelnuovo-Mumford regularity of a module
RegularityIndex regularity index of a Hilbert function or series
RootBound bound on roots of a polynomial over QQ
round round to integer
seed seed for random
sign the sign of a number
TimeOfDay the current time
UnivariateIndetIndex the index of the indeterminate of a univariate polynomial
valuation p-adic valuation