2.2.2 Commands and Functions for INT |
abs | absolute value of a number |
AffHilbert | the affine Hilbert function |
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 |
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 |
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 |
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 |
ILogBase | integer part of the logarithm |
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 |
IsPositiveGrading | check if a matrix defines a positive grading |
IsPrime | prime integer test |
IsProbPrime | checks if an integer is a probable prime |
isqrt | (truncated) square root of an integer |
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 |
LogToTerm | returns a monomial (power-product) with given exponents |
MakeMatByRows, MakeMatByCols | convert a list into a 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 |
RatReconstructByContFrac, RatReconstructByLattice | rational reconstruction from modular image |
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 |
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 |
valuation | p-adic valuation |
WithoutNth | removes the N-th component from a list |
XelMat | matrices for std. term-orderings |
ZeroMat | matrix filled with 0 |