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Msolve
-- Macaulay2 interface for msolve; computes real solutions and Groebner basis, etc.
msolveEliminate
-- compute the elimination ideal of a given ideal
msolveEliminate(...,Threads=>...)
-- compute the elimination ideal of a given ideal
msolveEliminate(...,Verbosity=>...)
-- compute the elimination ideal of a given ideal
msolveEliminate(Ideal,List)
-- compute the elimination ideal of a given ideal
msolveEliminate(Ideal,RingElement)
-- compute the elimination ideal of a given ideal
msolveEliminate(List,Ideal)
-- compute the elimination ideal of a given ideal
msolveEliminate(RingElement,Ideal)
-- compute the elimination ideal of a given ideal
msolveGB
-- compute generators of a Groebner basis in GRevLex order
msolveGB(...,Threads=>...)
-- compute generators of a Groebner basis in GRevLex order
msolveGB(...,Verbosity=>...)
-- compute generators of a Groebner basis in GRevLex order
msolveGB(Ideal)
-- compute generators of a Groebner basis in GRevLex order
msolveLeadMonomials
-- compute the leading monomials of a Groebner basis in GRevLex order
msolveLeadMonomials(...,Threads=>...)
-- compute the leading monomials of a Groebner basis in GRevLex order
msolveLeadMonomials(...,Verbosity=>...)
-- compute the leading monomials of a Groebner basis in GRevLex order
msolveLeadMonomials(Ideal)
-- compute the leading monomials of a Groebner basis in GRevLex order
msolveRealSolutions
-- compute all real solutions to a zero dimensional system using symbolic methods
msolveRealSolutions(...,Threads=>...)
-- compute all real solutions to a zero dimensional system using symbolic methods
msolveRealSolutions(...,Verbosity=>...)
-- compute all real solutions to a zero dimensional system using symbolic methods
msolveRealSolutions(Ideal)
-- compute all real solutions to a zero dimensional system using symbolic methods
msolveRealSolutions(Ideal,Ring)
-- compute all real solutions to a zero dimensional system using symbolic methods
msolveRealSolutions(Ideal,RingFamily)
-- compute all real solutions to a zero dimensional system using symbolic methods
msolveRUR
-- compute the rational univariate representation using symbolic methods
msolveRUR(...,Threads=>...)
-- compute the rational univariate representation using symbolic methods
msolveRUR(...,Verbosity=>...)
-- compute the rational univariate representation using symbolic methods
msolveRUR(Ideal)
-- compute the rational univariate representation using symbolic methods
msolveSaturate
-- compute a Groebner basis for the saturation of an ideal by a single polynomial in GRevLex order
msolveSaturate(...,Threads=>...)
-- compute a Groebner basis for the saturation of an ideal by a single polynomial in GRevLex order
msolveSaturate(...,Verbosity=>...)
-- compute a Groebner basis for the saturation of an ideal by a single polynomial in GRevLex order
msolveSaturate(Ideal,RingElement)
-- compute a Groebner basis for the saturation of an ideal by a single polynomial in GRevLex order
QQi
-- the class of all rational intervals