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Tropical : Index
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
ambDim(TropicalCycle)
-- computes the dimension of the ambient space of a tropical cycle
BergmanFan
-- the Bergman fan of a matroid
ComputeMultiplicities
-- option to compute the multiplicities in case they ideal is not prime
cones(ZZ,TropicalCycle)
-- computes the cones of a tropical cycle
dim(TropicalCycle)
-- computes the dimension of a tropical cycle
fan(TropicalCycle)
-- outputs the fan associated to the tropical cycle
fVector(TropicalCycle)
-- computes the fVector of a tropical cycle
isBalanced
-- checks whether a tropical cycle is balanced
isBalanced(TropicalCycle)
-- checks whether a tropical cycle is balanced
IsHomogeneous
-- option to declare if the input ideal is homogeneous
isPure(TropicalCycle)
-- checks whether a tropical cycle is pure
isSimplicial(TropicalCycle)
-- checks whether a tropical cycle is simplicial
isTropicalBasis
-- checks if a list of polynomials is a tropical basis for the ideal they generate
isTropicalBasis(...,Strategy=>...)
-- checks if a list of polynomials is a tropical basis for the ideal they generate
isTropicalBasis(List)
-- checks if a list of polynomials is a tropical basis for the ideal they generate
linealitySpace(TropicalCycle)
-- computes the lineality space of a tropical cycle
maxCones(TropicalCycle)
-- computes the maximal cone of a tropical cycle
multiplicities
-- returns the list of multiplicities on maximal cones in a tropical cycle
multiplicities(TropicalCycle)
-- returns the list of multiplicities on maximal cones in a tropical cycle
Polymake interface instructions
-- instructions for loading Polymake with this package.
Prime
-- option to declare if the input ideal is prime
rays(TropicalCycle)
-- computes the rays of a tropical cycle
stableIntersection
-- computes the stable intersection of two tropical varieties
stableIntersection(...,Strategy=>...)
-- computes the stable intersection of two tropical varieties
stableIntersection(TropicalCycle,TropicalCycle)
-- computes the stable intersection of two tropical varieties
Symmetry
-- option to declare if the input ideal has symmetries
Tropical
-- the main M2 package for tropical computations
TropicalCycle
-- a Type for working with tropical cycles
tropicalCycle
-- constructs a TropicalCycle from a Fan and a list with multiplicities
tropicalCycle(Fan,List)
-- constructs a TropicalCycle from a Fan and a list with multiplicities
tropicalPrevariety
-- the intersection of the tropical hypersurfaces
tropicalPrevariety(...,Strategy=>...)
-- the intersection of the tropical hypersurfaces
tropicalPrevariety(List)
-- the intersection of the tropical hypersurfaces
tropicalPrevariety(List,List)
-- the intersection of the tropical hypersurfaces
tropicalVariety
-- the tropical variety associated to an ideal
tropicalVariety(...,ComputeMultiplicities=>...)
-- the tropical variety associated to an ideal
tropicalVariety(...,IsHomogeneous=>...)
-- the tropical variety associated to an ideal
tropicalVariety(...,Prime=>...)
-- the tropical variety associated to an ideal
tropicalVariety(...,Symmetry=>...)
-- the tropical variety associated to an ideal
tropicalVariety(Ideal)
-- the tropical variety associated to an ideal
Valuation
-- visualize the tropical hypersurface of the given polynomial
visualizeHypersurface
-- visualize the tropical hypersurface of the given polynomial
visualizeHypersurface(RingElement)
-- visualize the tropical hypersurface of the given polynomial