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Normaliz : Index
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
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allComputations
createMonomialSubalgebra
-- creates a monomial subalgebra
createMonomialSubalgebra(List)
-- creates a monomial subalgebra
diagInvariants
-- ring of invariants of a diagonalizable group action
diagInvariants(Matrix,Matrix,Ring)
-- ring of invariants of a diagonalizable group action
diagInvariants(Matrix,Matrix,Ring,allComputations=>...)
-- ring of invariants of a diagonalizable group action
diagInvariants(Matrix,Matrix,Ring,grading=>...)
-- ring of invariants of a diagonalizable group action
ehrhartRing
-- Ehrhart ring
ehrhartRing(List)
-- Ehrhart ring
ehrhartRing(List,allComputations=>...)
-- Ehrhart ring
ehrhartRing(List,RingElement)
-- Ehrhart ring
ehrhartRing(List,RingElement,allComputations=>...)
-- Ehrhart ring
finiteDiagInvariants
-- ring of invariants of a finite group action
finiteDiagInvariants(Matrix,Ring)
-- ring of invariants of a finite group action
finiteDiagInvariants(Matrix,Ring,allComputations=>...)
-- ring of invariants of a finite group action
finiteDiagInvariants(Matrix,Ring,grading=>...)
-- ring of invariants of a finite group action
generators(MonomialSubalgebra)
-- generators of a monomial subalgebra
getNumInvs
-- returns the numerical invariants computed
grading
intclMonIdeal
-- normalization of Rees algebra
intclMonIdeal(Ideal)
-- normalization of Rees algebra
intclMonIdeal(Ideal,allComputations=>...)
-- normalization of Rees algebra
intclMonIdeal(Ideal,grading=>...)
-- normalization of Rees algebra
intclMonIdeal(Ideal,RingElement)
-- normalization of Rees algebra
intclMonIdeal(Ideal,RingElement,allComputations=>...)
-- normalization of Rees algebra
intclMonIdeal(Ideal,RingElement,grading=>...)
-- normalization of Rees algebra
intclToricRing
-- integral closure of a toric ring
intclToricRing(List)
-- integral closure of a toric ring
intclToricRing(List,allComputations=>...)
-- integral closure of a toric ring
intclToricRing(List,grading=>...)
-- integral closure of a toric ring
intclToricRing(MonomialSubalgebra)
-- integral closure of a toric ring
intclToricRing(MonomialSubalgebra,allComputations=>...)
-- integral closure of a toric ring
intclToricRing(MonomialSubalgebra,grading=>...)
-- integral closure of a toric ring
intersectionValRingIdeals
-- intersection of valuation ideals
intersectionValRingIdeals(Matrix,Ring)
-- intersection of valuation ideals
intersectionValRingIdeals(Matrix,Ring,allComputations=>...)
-- intersection of valuation ideals
intersectionValRingIdeals(Matrix,Ring,grading=>...)
-- intersection of valuation ideals
intersectionValRings
-- intersection of ring of valuations
intersectionValRings(Matrix,Ring)
-- intersection of ring of valuations
intersectionValRings(Matrix,Ring,allComputations=>...)
-- intersection of ring of valuations
intersectionValRings(Matrix,Ring,grading=>...)
-- intersection of ring of valuations
Keeping results of the computation by Normaliz
MonomialSubalgebra
-- class of monomial subalgebras
nmzDataPath
-- global variable, the path where Normaliz stores its files
nmzFilename
-- global variable holding the filename
nmzNumberThreads
-- global variable holding the number of threads
nmzVersion
-- global variable holding the Normaliz version
Normaliz
-- an interface to use Normaliz in Macaulay 2
normaliz
-- calls Normaliz
normaliz(List)
-- calls Normaliz with several input matrices
normaliz(List,allComputations=>...)
-- calls Normaliz with several input matrices
normaliz(List,grading=>...)
-- calls Normaliz with several input matrices
normaliz(Matrix,String)
-- calls Normaliz
normaliz(Matrix,String,allComputations=>...)
-- calls Normaliz
normaliz(Matrix,String,grading=>...)
-- calls Normaliz
normalToricRing
-- normalization of a toric ring
normalToricRing(Ideal,Thing)
-- normalization of a toric ring given by a binomial ideal
normalToricRing(Ideal,Thing,allComputations=>...)
-- normalization of a toric ring given by a binomial ideal
normalToricRing(Ideal,Thing,grading=>...)
-- normalization of a toric ring given by a binomial ideal
normalToricRing(List)
-- normalization of a toric ring
normalToricRing(List,allComputations=>...)
-- normalization of a toric ring
normalToricRing(List,grading=>...)
-- normalization of a toric ring
normalToricRing(MonomialSubalgebra)
-- normalization of a toric ring
normalToricRing(MonomialSubalgebra,allComputations=>...)
-- normalization of a toric ring
normalToricRing(MonomialSubalgebra,grading=>...)
-- normalization of a toric ring
numgens(MonomialSubalgebra)
-- number of generators of a monomial subalgebra
output files written by Normaliz
RationalCone
-- class of rational cones
readMultipleNmzData
-- reads an output file of Normaliz containing several matrices
readMultipleNmzData(String)
-- reads an output file of Normaliz containing several matrices
readNmzData
-- reads an output file of Normaliz containing one matrix
readNmzData(String)
-- reads an output file of Normaliz containing one matrix
ring(MonomialSubalgebra)
-- surrounding ring of a monomial subalgebra
rmNmzFiles
-- removes the files created by Normaliz
setNmzOption
-- sets a command line option for Normaliz
setNmzOption(String,Boolean)
-- sets a command line option for Normaliz
showNmzOptions
-- prints the enabled options
The generators of the integral closure of the Rees algebra of a monomial ideal.
The Hilbert basis and the support hyperplanes of a rational cone.
The lattice points, Ehrhart series and the support hyperplanes of an integral polytope.
torusInvariants
-- ring of invariants of torus action
torusInvariants(Matrix,Ring)
-- ring of invariants of torus action
torusInvariants(Matrix,Ring,allComputations=>...)
-- ring of invariants of torus action
torusInvariants(Matrix,Ring,grading=>...)
-- ring of invariants of torus action
vars(MonomialSubalgebra)
-- row matrix of the generators of a monomial subalgebra
writeNmzData
-- creates an input file for Normaliz
writeNmzData(List)
-- creates an input file for Normaliz with several matrices
writeNmzData(Matrix,String)
-- creates an input file for Normaliz with one matrix