CoincidentRootLoci : Table of Contents

• CoincidentRootLoci -- A package for computations with coincident root loci
• apolar -- the apolar map
• apolar(RingElement) -- the apolar ideal
• apolar(RingElement,ZZ) -- homogeneous components of the apolar ideal
• chowForm(CoincidentRootLocus) -- Chow form of a coincident root locus
• codim(CoincidentRootLocus) -- compute the codimension
• coefficientRing(CoincidentRootLocus) -- get the coefficient ring
• CoincidentRootLocus -- the class of all coincident root loci
• coincidentRootLocus -- makes a coincident root locus
• CoincidentRootLocus * CoincidentRootLocus -- projective join of coincident root loci
• coincidentRootLocus(...,Variable=>...) -- specify a name for a variable
• complexrank -- compute the complex rank
• CRL (missing documentation)
• degree(CoincidentRootLocus) -- compute the degree
• dim(CoincidentRootLocus) -- compute the dimension
• dual(CoincidentRootLocus) -- the projectively dual to a coincident root locus
• generic(...,Reduce=>...) -- reduce the number of variables
• generic(CoincidentRootLocus) -- get the generic element
• ideal(CoincidentRootLocus) -- the defining ideal of a coincident root locus
• isInCoisotropic(Ideal,CoincidentRootLocus) -- test membership in a coisotropic hypersurface
• isSubset(CoincidentRootLocus,CoincidentRootLocus) -- whether one object is a subset of another
• map(CoincidentRootLocus) -- the map associated to a coincident root locus
• member(RingElement,CoincidentRootLocus) -- test membership in a coincident root locus
• partition(CoincidentRootLocus) -- the partition associated to a coincident root locus
• polarDegrees -- polar degrees of a coincident root locus
• projectiveTangentSpace -- projective tangent space
• QepcadOptions -- set the number of cells in the garbage collected space
• random(CoincidentRootLocus) -- get a random element
• randomBinaryForm -- random homogeneous polynomial in two variables
• randomInCoisotropic(CoincidentRootLocus,ZZ) -- get a random element
• realrank -- compute the real rank
• realrank(...,Limit=>...) -- set a bound for the rank
• realrank(...,Range=>...) -- can be assigned an interval
• realrank(...,Verbose=>...) -- request verbose feedback
• realRankBoundary -- algebraic boundaries among typical ranks for real binary forms
• realroots -- real roots of a binary form
• recover -- recover the binary form from its apolar ideal
• ring(CoincidentRootLocus) -- get the ring of a coincident root locus
• singularLocus(CoincidentRootLocus) -- the singular locus of a coincident root locus
• subsets(CoincidentRootLocus) -- produce all the subloci
• supsets(CoincidentRootLocus) -- produce all the suploci
• switch(RingElement)