Tropical : Index
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ambDim(TropicalCycle) -- computes the dimension of the ambient space of a tropical cycle
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ComputeMultiplicities -- option to compute the multiplicities in case they ideal is not prime
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cones(ZZ,TropicalCycle) -- computes the cones of a tropical cycle
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dim(TropicalCycle) -- computes the dimension of a tropical cycle
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fan(TropicalCycle) -- outputs the fan associated to the tropical cycle
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fVector(TropicalCycle) -- computes the fVector of a tropical cycle
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isBalanced -- checks whether a tropical cycle is balanced
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isBalanced(TropicalCycle) -- checks whether a tropical cycle is balanced
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IsHomogeneous -- option to declare if the input ideal is homogeneous
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isPure(TropicalCycle) -- checks whether a tropical cycle is pure
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isSimplicial(TropicalCycle) -- checks whether a tropical cycle is simplicial
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isTropicalBasis -- checks if a list of polynomials is a tropical basis for the ideal they generate
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isTropicalBasis(...,Strategy=>...) -- checks if a list of polynomials is a tropical basis for the ideal they generate
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isTropicalBasis(List) -- checks if a list of polynomials is a tropical basis for the ideal they generate
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linealitySpace(TropicalCycle) -- computes the lineality space of a tropical cycle
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maxCones(TropicalCycle) -- computes the maximal cone of a tropical cycle
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multiplicities -- returns the list of multiplicities on maximal cones in a tropical cycle
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multiplicities(TropicalCycle) -- returns the list of multiplicities on maximal cones in a tropical cycle
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Polymake interface instructions -- instructions for loading Polymake with this package.
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Prime -- option to declare if the input ideal is prime
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rays(TropicalCycle) -- computes the rays of a tropical cycle
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stableIntersection -- computes the stable intersection of two tropical varieties
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stableIntersection(...,Strategy=>...) -- computes the stable intersection of two tropical varieties
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stableIntersection(TropicalCycle,TropicalCycle) -- computes the stable intersection of two tropical varieties
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Symmetry -- option to declare if the input ideal has symmetries
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Tropical -- the main M2 package for tropical computations
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TropicalCycle -- a Type for working with tropical cycles
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tropicalCycle -- constructs a TropicalCycle from a Fan and a list with multiplicities
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tropicalCycle(Fan,List) -- constructs a TropicalCycle from a Fan and a list with multiplicities
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tropicalPrevariety -- the intersection of the tropical hypersurfaces
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tropicalPrevariety(...,Strategy=>...) -- the intersection of the tropical hypersurfaces
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tropicalPrevariety(List) -- the intersection of the tropical hypersurfaces
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tropicalPrevariety(List,List) -- the intersection of the tropical hypersurfaces
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tropicalVariety -- the tropical variety associated to an ideal
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tropicalVariety(...,ComputeMultiplicities=>...) -- the tropical variety associated to an ideal
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tropicalVariety(...,IsHomogeneous=>...) -- the tropical variety associated to an ideal
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tropicalVariety(...,Prime=>...) -- the tropical variety associated to an ideal
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tropicalVariety(...,Symmetry=>...) -- the tropical variety associated to an ideal
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tropicalVariety(Ideal) -- the tropical variety associated to an ideal
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tropicalVarietyWithVal -- EXPERIMENTAL: tropical variety with valuations
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tropicalVarietyWithVal(...,IsHomogeneous=>...) -- EXPERIMENTAL: tropical variety with valuations
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tropicalVarietyWithVal(...,Valuation=>...) -- EXPERIMENTAL: tropical variety with valuations
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tropicalVarietyWithVal(Ideal) -- EXPERIMENTAL: tropical variety with valuations
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Valuation -- option to declare a valuation for tropicalization
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visualizeHypersurface -- visualize the tropical hypersurface of the given polynomial
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visualizeHypersurface(RingElement) -- visualize the tropical hypersurface of the given polynomial