2.2.3 Commands and Functions returning INT |
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 |
CatalanNumber | Catalan number |
ceil | round rational up to integer |
characteristic | the characteristic of a ring |
ContFrac | continued fraction quotients |
CoprimeFactor | determine factor of N coprime to given base |
count | count the objects in a list |
CyclotomicIndex, CyclotomicTest | computes the index of a given cyclotomic polynomial |
date | the date |
deg | the standard degree of a polynomial or moduleelem |
den | denominator |
depth | Depth of a module |
dim | the dimension of a (quotient) ring |
div | quotient for integers |
EulerTotient | Euler Totient function for positive integers |
EvalHilbertFn | evaluate the Hilbert function |
factorial | factorial function |
FactorMultiplicity | multiplicity of a factor of an integer |
fibonacci | n-th fibonacci number |
floor | round rational down to integer |
FloorLog2, FloorLog10, FloorLogBase | integer part of the logarithm |
FloorRoot | integer part of r-th root of an integer |
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 |
KroneckerSymbol | Kronecker symbol of R mod M |
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 |
LRSDegeneracyOrder | the LRS degeneracy order of a polynomial |
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 |
moebius | Moebius function of a poset |
MoebiusFn | Moebius function mu on the whole numbers |
multiplicity | the multiplicity (degree) of a ring |
NextPrime, NextProbPrime | find the next prime number |
NmzVerbosityLevel | Get the verbosity level for Normaliz |
num | numerator |
NumBChambers | number of bounded chambers of an arrangement of hyperplanes |
NumChambers | number of chambers of an arrangement of hyperplanes |
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 |
NumRealRoots | number of real roots of a polynomial |
NumRows | number of rows in a matrix |
NumTerms | number of terms in a polynomial |
PosetNRank | rank of the node N from the relations of the graded poset |
PosetRank | rank of the poset from its relations |
power | compute a power |
PowerMod | compute a modular power efficiently |
PrevPrime, PrevProbPrime | find the previous prime number |
PrimitiveRoot | find a primitive root modulo a prime |
primorial | primorial function |
radical | radical of an ideal |
random | random integer |
RandomNBitPrime | Random prime with N bits |
RandomSmallPrime | Random prime between 5 and N |
reg | Castelnuovo-Mumford regularity of a module |
RegularityIndex | regularity index of a Hilbert function or series |
RingID | identification for ring |
rk | rank of a matrix or module |
round | round to integer |
ScalarProduct | scalar product |
sign | the sign of a number |
SmallestNonDivisor | find smallest prime which does not divide an integer |
SystemCommand | run a system command |
TimeOfDay | the current time |
UnivariateIndetIndex | the index of the indeterminate of a univariate polynomial |
VerbosityLevel | verbosity level |