NumericalHilbert : Index
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adjointMatrix -- Conjugate transpose of a complex matrix
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adjointMatrix(Matrix) -- Conjugate transpose of a complex matrix
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BM -- Mourrain algorithm for dual space computation
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colReduce -- Column reduces a matrix
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colReduce(Matrix,Number) -- Column reduces a matrix
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DZ -- Macaulay matrix algorithm for dual space computation
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eliminatingDual -- eliminating dual space of a polynomial ideal
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eliminatingDual(..., Tolerance => ...) -- optional argument for numerical tolernace
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eliminatingDual(Point,Ideal,List,ZZ) -- eliminating dual space of a polynomial ideal
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eliminatingDual(Point,Matrix,List,ZZ) -- eliminating dual space of a polynomial ideal
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gCorners -- generators of the initial ideal of a polynomial ideal
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gCorners(..., ProduceSB => ...) -- generators of the initial ideal of a polynomial ideal
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gCorners(..., Strategy => ...) -- optional argument for dual space algorithm
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gCorners(..., Tolerance => ...) -- optional argument for numerical tolernace
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gCorners(Point,Ideal) -- generators of the initial ideal of a polynomial ideal
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gCorners(Point,Matrix) -- generators of the initial ideal of a polynomial ideal
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innerProduct -- Applies dual space functionals to polynomials
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innerProduct(PolySpace,DualSpace) -- Applies dual space functionals to polynomials
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innerProduct(PolySpace,PolySpace) -- Applies dual space functionals to polynomials
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innerProduct(PolySpace,RingElement) -- Applies dual space functionals to polynomials
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innerProduct(RingElement,DualSpace) -- Applies dual space functionals to polynomials
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innerProduct(RingElement,RingElement) -- Applies dual space functionals to polynomials
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localHilbertRegularity -- regularity of the local Hilbert function of a polynomial ideal
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localHilbertRegularity(..., Tolerance => ...) -- optional argument for numerical tolernace
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localHilbertRegularity(Point,Ideal) -- regularity of the local Hilbert function of a polynomial ideal
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localHilbertRegularity(Point,Matrix) -- regularity of the local Hilbert function of a polynomial ideal
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NumericalHilbert -- numerically compute local dual space and Hilbert functions
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numericalImage -- Image of a matrix
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numericalImage(Matrix,Number) -- Image of a matrix
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numericalKernel -- Kernel of a matrix
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numericalKernel(Matrix,Number) -- Kernel of a matrix
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orthogonalInSubspace -- Orthogonal of a space
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orthogonalInSubspace(DualSpace,PolySpace,Number) -- Orthogonal of a space
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orthogonalInSubspace(PolySpace,PolySpace,Number) -- Orthogonal of a space
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ProduceSB -- generators of the initial ideal of a polynomial ideal
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reduceSpace -- reduce the generators of a space
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reduceSpace(..., Monomials => ...) -- reduce the generators of a space
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reduceSpace(..., Tolerance => ...) -- optional argument for numerical tolernace
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reduceSpace(DualSpace) -- reduce the generators of a space
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reduceSpace(PolySpace) -- reduce the generators of a space
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sCorners -- socle corners of a monomial ideal
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sCorners(Matrix) -- socle corners of a monomial ideal
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sCorners(MonomialIdeal) -- socle corners of a monomial ideal
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Strategy (NumericalHilbert) -- optional argument for dual space algorithm
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Tolerance (NumericalHilbert) -- optional argument for numerical tolernace
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truncate(DualSpace,List,ZZ) -- truncate a polynomial space or dual space
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truncate(DualSpace,ZZ) -- truncate a polynomial space or dual space
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truncate(PolySpace,List,ZZ) -- truncate a polynomial space or dual space
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truncate(PolySpace,ZZ) -- truncate a polynomial space or dual space
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truncatedDual -- truncated dual space of a polynomial ideal
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truncatedDual(..., Strategy => ...) -- optional argument for dual space algorithm
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truncatedDual(..., Tolerance => ...) -- optional argument for numerical tolernace
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truncatedDual(Point,Ideal,ZZ) -- truncated dual space of a polynomial ideal
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truncatedDual(Point,Matrix,ZZ) -- truncated dual space of a polynomial ideal
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zeroDimensionalDual -- dual space of a zero-dimensional polynomial ideal
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zeroDimensionalDual(..., Strategy => ...) -- optional argument for dual space algorithm
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zeroDimensionalDual(..., Tolerance => ...) -- optional argument for numerical tolernace
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zeroDimensionalDual(Point,Ideal) -- dual space of a zero-dimensional polynomial ideal
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zeroDimensionalDual(Point,Matrix) -- dual space of a zero-dimensional polynomial ideal