FourTiTwo : Index
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FourTiTwo -- Interface for 4ti2
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getMatrix -- reads a matrix from a 4ti2-formatted input file
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getMatrix(String) -- reads a matrix from a 4ti2-formatted input file
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hilbertBasis -- calculates the Hilbert basis of the cone; invokes "hilbert" from 4ti2
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hilbertBasis(...,InputType=>...) -- calculates the Hilbert basis of the cone; invokes "hilbert" from 4ti2
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hilbertBasis(Matrix) -- calculates the Hilbert basis of the cone; invokes "hilbert" from 4ti2
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InputType
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putMatrix -- writes a matrix into a file formatted for 4ti2
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putMatrix(File,Matrix) -- writes a matrix into a file formatted for 4ti2
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rays -- calculates the extreme rays of the cone; invokes "rays" from 4ti2
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rays(Matrix) -- calculates the extreme rays of the cone; invokes "rays" from 4ti2
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toBinomial -- creates a toric ideal from a given set of exponents of its generators
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toBinomial(Matrix,Ring) -- creates a toric ideal from a given set of exponents of its generators
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toricCircuits -- calculates the circuits of the toric ideal; invokes "circuits" from 4ti2
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toricCircuits(Matrix) -- calculates the circuits of the toric ideal; invokes "circuits" from 4ti2
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toricGraver -- calculates the Graver basis of the toric ideal; invokes "graver" from 4ti2
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toricGraver(Matrix) -- calculates the Graver basis of the toric ideal; invokes "graver" from 4ti2
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toricGraver(Matrix,Ring) -- calculates the Graver basis of the toric ideal; invokes "graver" from 4ti2
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toricGraverDegrees -- displays the degrees of all Graver basis elements for the toric ideal I_A
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toricGraverDegrees(Matrix) -- displays the degrees of all Graver basis elements for the toric ideal I_A
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toricGroebner -- calculates a Groebner basis of the toric ideal I_A, given A; invokes "groebner" from 4ti2
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toricGroebner(...,Weights=>...) -- calculates a Groebner basis of the toric ideal I_A, given A; invokes "groebner" from 4ti2
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toricGroebner(Matrix) -- calculates a Groebner basis of the toric ideal I_A, given A; invokes "groebner" from 4ti2
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toricGroebner(Matrix,Ring) -- calculates a Groebner basis of the toric ideal I_A, given A; invokes "groebner" from 4ti2
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toricMarkov -- calculates a generating set of the toric ideal I_A, given A; invokes "markov" from 4ti2
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toricMarkov(...,InputType=>...) -- calculates a generating set of the toric ideal I_A, given A; invokes "markov" from 4ti2
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toricMarkov(Matrix) -- calculates a generating set of the toric ideal I_A, given A; invokes "markov" from 4ti2
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toricMarkov(Matrix,Ring) -- calculates a generating set of the toric ideal I_A, given A; invokes "markov" from 4ti2