up previous next

2.2.2 Commands and Functions for INT

abs	absolute value of a number
AffHilbertFn	the affine Hilbert function
ascii	convert between characters and ascii code
AsINT	convert into an INT
AsRAT	convert into a RAT
binomial	binomial coefficient
BinomialRepr, BinomialReprShift	binomial representation of integers
ContFracToRat	convert continued fraction to rational
CRT	Chinese Remainder Theorem
CRTPoly	Chinese Remainder Theorem on polynomial coefficients
cyclotomic	n-th cyclotomic polynomial
date	the date
DecimalStr	convert rational number to decimal string
den	denominator
DensePoly	the sum of all power-products of a given degree
div	quotient for integers
ElimMat	matrix for elimination ordering
EvalHilbertFn	evaluate the Hilbert function
exponents	the list of exponents of the leading term of a polynomial
Ext	presentation Ext modules as quotients of free modules
factorial	factorial function
FactorMultiplicity	multiplicity of a factor of an integer
first	the first N elements of a list
flatten	flatten a list
FloatApprox	approx. of rational number of the form M*2^E
FloatStr	convert rational number to a decimal string
FloorLog2, FloorLog10, FloorLogBase	integer part of the logarithm
FloorSqrt	(truncated) square root of an integer
format	convert object to formatted string
GBasisTimeout	compute a Groebner basis with a timeout
gcd	greatest common divisor
GCDFreeBasis	determine (minimal) GCD free basis of a set of integers
GenericPoints	random projective points
Get	read characters from a device
GetCol	convert a column of a matrix into a list
GetRow	convert a row of a matrix into a list
HilbertFn	the Hilbert function
IdentityMat	the identity matrix
incr, decr	increment/decrement a counter
indent	prints in a more readable way
indet	individual indeterminates
insert [OBSOLESCENT]	[OBSOLESCENT] insert an object in a list
InverseSystem	Inverse system of an ideal of derivations
IO.SprintTrunc	convert to a string and truncate
iroot	integer part of r-th root of an integer
IsEven, IsOdd	test whether an integer is even or odd
IsInteger	check if a RINGELEM is integer
IsOne	test whether an object is one
IsPositiveGrading	check if a matrix defines a positive grading
IsPrime	prime integer test
IsProbPrime	checks if an integer is a probable prime
IsSqFree	check if an INT or RINGELEM is square-free
IsZero	test whether an object is zero
IsZeroCol, IsZeroRow	test whether a column(row) is zero
last	the last N elements of a list
lcm	least common multiple
LexMat	matrices for std. term-orderings
MakeMatByRows, MakeMatByCols	convert a list into a matrix
MakeTerm	returns a monomial (power-product) with given exponents
MakeTermOrd	Make a term order matrix from a given matrix
MantissaAndExponent10	convert rational number to a float
MantissaAndExponent2	convert rational number to a binary float
max	a maximum element of a sequence or list
min	a minimum element of a sequence or list
minors	list of minor determinants of a matrix
mod	remainder for integers
NewFreeModule	create a new FreeModule
NewList	create a new list
NewMat	Zero matrix
NewMatFilled	matrix filled with value
NewPolyRing	create a new PolyRing
NewRingFp	create a new finite field
NewRingTwinFloat	create a new twin-float ring
NextPrime	find the next largest prime number
NextProbPrime	find the next largest probable prime number
num	numerator
NumPartitions	number of partitions of an integer
operators, shortcuts	Special characters equivalent to commands
partitions	partitions of an integer
PowerMod	compute a modular power efficiently
PrimitiveRoot	find a primitive root modulo a prime
product	the product of the elements of a list
random	random integer
randomized	randomize the coefficients of a given polynomial
RandomSubset	random subset
RandomSubsetIndices	indices for random subset
RandomTuple	random tuple
RandomTupleIndices	indices for random tuples
RandomUnimodularMat	random unimodular matrix
RatReconstructByContFrac, RatReconstructByLattice	rational reconstruction from modular image
RatReconstructPoly	Rational reconstruction of polynomial coefficents
RatReconstructWithBounds	deterministic rational reconstruction from modular image
RefineGCDFreeBasis	refine an integer GCD free basis
remove	remove an object in a list
RevLexMat	matrices for std. term-orderings
RingElem	convert an expression into a RINGELEM
RingQQt	pre-defined polynomial rings
ScientificStr	convert integer/rational to a floating-point string
seed	seed for random
SetRow	set a list as a row into a matrix
SetStackSize	secret ;-)
sign	the sign of a number
SmoothFactor	find small prime factors of an integer
SourceRegion	read commands from a region in a file
spaces	return a string of spaces
StarPrint, StarSprint	print polynomial with *'s for multiplications
StdDegLexMat	matrices for std. term-orderings
StdDegRevLexMat	matrices for std. term-orderings
submat	submatrix
subsets	returns all sublists of a list
sum	the sum of the elements of a list
SwapRows	swap two rows in a matrix
SymbolRange	range of symbols for the indeterminates of a PolyRing
syz	syzygy modules
tuples	N-tuples
WithoutNth	removes the N-th component from a list
XelMat	matrices for std. term-orderings
ZeroMat	matrix filled with 0