Points : Index
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affineFatPoints -- produces the ideal and initial ideal from the coordinates of a finite set of fat points
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affineFatPoints(Matrix,List,Ring) -- produces the ideal and initial ideal from the coordinates of a finite set of fat points
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affineFatPointsByIntersection -- computes ideal of fat points by intersecting powers of maximal ideals
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affineFatPointsByIntersection(Matrix,List,Ring) -- computes ideal of fat points by intersecting powers of maximal ideals
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affineMakeRingMaps -- evaluation on points
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affineMakeRingMaps(Matrix,Ring) -- evaluation on points
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affinePoints -- produces the ideal and initial ideal from the coordinates of a finite set of points
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affinePoints(Matrix,Ring) -- produces the ideal and initial ideal from the coordinates of a finite set of points
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affinePointsByIntersection -- computes ideal of point set by intersecting maximal ideals
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affinePointsByIntersection(Matrix,Ring) -- computes ideal of point set by intersecting maximal ideals
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affinePointsMat -- produces the matrix of values of the standard monomials on a set of points
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affinePointsMat(Matrix,Ring) -- produces the matrix of values of the standard monomials on a set of points
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AllRandom -- Option to randomPointsMat.
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expectedBetti -- The betti table of r points in Pn according to the minimal resolution conjecture
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minMaxResolution -- Min and max conceivable Betti tables for generic points
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omegaPoints -- linear part of the presentation of canonical module of points
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Points -- A package for making and studying points in affine and projective spaces
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points -- make the ideal of a set of points
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projectiveFatPoints -- produces the ideal and initial ideal from the coordinates of a finite set of fat points
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projectiveFatPoints(...,VerifyPoints=>...) -- Option to projectiveFatPoints.
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projectiveFatPoints(Matrix,List,Ring) -- produces the ideal and initial ideal from the coordinates of a finite set of fat points
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projectiveFatPointsByIntersection -- computes ideal of fat points by intersecting powers of point ideals
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projectiveFatPointsByIntersection(Matrix,List,Ring) -- computes ideal of fat points by intersecting powers of point ideals
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projectivePoints -- produces the ideal and initial ideal from the coordinates of a finite set of projective points
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projectivePoints(...,VerifyPoints=>...) -- Option to projectivePoints.
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projectivePoints(Matrix,Ring) -- produces the ideal and initial ideal from the coordinates of a finite set of projective points
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projectivePointsByIntersection -- computes ideal of projective points by intersecting point ideals
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projectivePointsByIntersection(Matrix,Ring) -- computes ideal of projective points by intersecting point ideals
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randomPoints -- ideal of a random set of points
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randomPointsMat -- matrix of homogeneous coordinates of random points in projective space
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randomPointsMat(...,AllRandom=>...) -- matrix of homogeneous coordinates of random points in projective space
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randomPointsMat(Ring,ZZ) -- matrix of homogeneous coordinates of random points in projective space
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VerifyPoints -- Option to projectivePoints.