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TriangularSets : Index
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checkInterface
-- whether the Maple interface is working (for developers)
checkTriangularize
-- tests method "triangularize" (for developers)
codim(TriaSystem)
-- dimension of a triangular set
degree(TriaSystem)
-- product of the degrees in a triangular set
dim(TriaSystem)
-- dimension of a triangular set
freeVariables
-- free variables of a triangular set
freeVariables(TriaSystem)
-- free variables of a triangular set
gbList
-- list of generators of a Groebner basis
generators(TriaSystem)
-- equations of a triangular system
ineqs
-- inequations of a triangular system
ineqs(TriaSystem)
-- inequations of a triangular system
initial
-- initial of a polynomial
initial(RingElement)
-- initial of a polynomial
initial(TriaSystem)
-- initial of a polynomial
isPrimeSimple
-- simple primality test of triangular systems
isPrimeSimple(TriaSystem)
-- simple primality test of triangular systems
isRegularChain
-- whether a triangular set is a regular chain
isRegularChain(TriaSystem)
-- whether a triangular set is a regular chain
isStronglyNormalized
-- whether a triangular set is strongly normalized
isStronglyNormalized(TriaSystem)
-- whether a triangular set is strongly normalized
minimalObjects
-- minimal elements in a partial order
mvar
-- main variable of a polynomial
mvar(RingElement)
-- main variable of a polynomial
net(TriaSystem)
-- a triangular system
pseudoRemainder(RingElement,RingElement,RingElement)
-- pseudo-remainder
pseudoRemainder(RingElement,TriaSystem)
-- pseudo-remainder by a triangular set
resultant(RingElement,TriaSystem)
-- iterated resultant by a triangular set
RingElement % TriaSystem
-- pseudo-remainder by a triangular set
RingMap TriaSystem
-- apply ring map to a triangular system
saturate(TriaSystem)
-- saturated ideal of a triangular system
TriangularDecompAlgorithm
-- possible values: "Monomial", "Binomial", "Maple", "Epsilon"
triangularize
-- triangular decomposition of polynomial systems
triangularize(...,TriangularDecompAlgorithm=>...)
-- possible values: "Monomial", "Binomial", "Maple", "Epsilon"
triangularize(Ideal)
-- triangular decomposition of polynomial systems
triangularize(MonomialIdeal)
-- triangular decomposition of polynomial systems
triangularize(Ring,List)
-- triangular decomposition of polynomial systems
triangularize(Ring,List,List)
-- triangular decomposition of polynomial systems
triangularizeBatch
-- triangularize a batch of polynomial systems
TriangularSets
-- triangular decompositions of polynomial ideals
TriaSystem
-- a triangular system
triaSystem
-- a triangular system
triaSystem(Ring,List)
-- a triangular system
triaSystem(Ring,List,List)
-- a triangular system