MonomialIntegerPrograms : Index
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bettiTablesWithHilbertFunction -- list or tally all Betti tables that can be obtained from monomial ideals with a particular (partial or complete) Hilbert function
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bettiTablesWithHilbertFunction(...,BoundGenerators=>...) -- list or tally all Betti tables that can be obtained from monomial ideals with a particular (partial or complete) Hilbert function
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bettiTablesWithHilbertFunction(...,Count=>...) -- list or tally all Betti tables that can be obtained from monomial ideals with a particular (partial or complete) Hilbert function
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bettiTablesWithHilbertFunction(...,FirstBetti=>...) -- list or tally all Betti tables that can be obtained from monomial ideals with a particular (partial or complete) Hilbert function
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bettiTablesWithHilbertFunction(...,GradedBettis=>...) -- list or tally all Betti tables that can be obtained from monomial ideals with a particular (partial or complete) Hilbert function
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bettiTablesWithHilbertFunction(...,SquareFree=>...) -- list or tally all Betti tables that can be obtained from monomial ideals with a particular (partial or complete) Hilbert function
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bettiTablesWithHilbertFunction(List,PolynomialRing) -- list or tally all Betti tables that can be obtained from monomial ideals with a particular (partial or complete) Hilbert function
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BoundGenerators
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codimensionIP -- compute the codimension of a monomial ideal using integer programming
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codimensionIP(MonomialIdeal) -- compute the codimension of a monomial ideal using integer programming
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Count
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degreeIP -- compute the degree of a monomial ideal using integer programming
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degreeIP(...,KnownDim=>...) -- compute the degree of a monomial ideal using integer programming
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degreeIP(MonomialIdeal) -- compute the degree of a monomial ideal using integer programming
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dimensionIP -- compute the dimension of a monomial ideal using integer programming
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dimensionIP(MonomialIdeal) -- compute the dimension of a monomial ideal using integer programming
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FirstBetti
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GradedBettis
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IgnorePrimes -- Ignores certain primes when computing top minimal primes.
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KnownDim -- compute the minimal primes of maximum dimension using integer programming
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loadBuiltinCodimAndDegree -- change codim and degree to use the default, built-in methods.
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loadSCIPCodimAndDegree -- change codim and degree to use the default, built-in methods.
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minimalPrimesIP -- one line description if different from minimalPrimesIP
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minimalPrimesIP(MonomialIdeal) -- one line description if different from minimalPrimesIP
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minimalPrimesIP(MonomialIdeal,ZZ) -- one line description if different from minimalPrimesIP
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monomialIdealsWithHilbertFunction -- find all monomial ideals in a polynomial ring with a particular (partial or complete) Hilbert function
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monomialIdealsWithHilbertFunction(...,BoundGenerators=>...) -- find all monomial ideals in a polynomial ring with a particular (partial or complete) Hilbert function
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monomialIdealsWithHilbertFunction(...,FirstBetti=>...) -- find all monomial ideals in a polynomial ring with a particular (partial or complete) Hilbert function
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monomialIdealsWithHilbertFunction(...,GradedBettis=>...) -- find all monomial ideals in a polynomial ring with a particular (partial or complete) Hilbert function
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monomialIdealsWithHilbertFunction(...,SquareFree=>...) -- find all monomial ideals in a polynomial ring with a particular (partial or complete) Hilbert function
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monomialIdealsWithHilbertFunction(List,PolynomialRing) -- find all monomial ideals in a polynomial ring with a particular (partial or complete) Hilbert function
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MonomialIntegerPrograms -- A package for fast monomial ideal computations using constraint integer programming
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ScipPrintLevel -- adjust how much solving information is displayed in MonomialIntegerPrograms
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SquareFree
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topMinimalPrimesIP -- compute the minimal primes of maximum dimension using integer programming
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topMinimalPrimesIP(...,IgnorePrimes=>...) -- Ignores certain primes when computing top minimal primes.
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topMinimalPrimesIP(...,KnownDim=>...) -- compute the minimal primes of maximum dimension using integer programming
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topMinimalPrimesIP(MonomialIdeal) -- compute the minimal primes of maximum dimension using integer programming