abs

absolute value of a number

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

FloorLog2, FloorLog10, FloorLogBase

integer part of the logarithm

FloorSqrt

(truncated) square root of an integer

gcd

greatest common divisor

GFanContainsPositiveVector

...

GFanGetAmbientDimension

...

GFanGetCodimension

...

GFanGetDimension

...

GFanGetDimensionOfLinealitySpace

...

GradingDim

Number of components in weighted degree

HilbertFn

the Hilbert function

IndetIndex

index of an indeterminate

iroot

integer part of rth 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 powerproduct in a ModuleElem

MayerVietorisTreeN1

N1st Betti multidegrees of monomial ideals using MayerVietoris 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

NumGens

number of generators

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

reg

CastelnuovoMumford regularity of a module

RegularityIndex

regularity index of a Hilbert function or series

RingID

identification for ring

rk

rank of a matrix or module

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
