Index

A

additive_identity() (sage.rings.semirings.tropical_semiring.TropicalSemiring method)

additive_semigroup_generators() (sage.rings.semirings.non_negative_integer_semiring.NonNegativeIntegerSemiring method)

C

components() (sage.rings.semirings.tropical_variety.TropicalVariety method)

contribution() (sage.rings.semirings.tropical_variety.TropicalCurve method)

D

dimension() (sage.rings.semirings.tropical_variety.TropicalVariety method)

dual_subdivision() (sage.rings.semirings.tropical_mpolynomial.TropicalMPolynomial method)

E

Element (sage.rings.semirings.tropical_mpolynomial.TropicalMPolynomialSemiring attribute) (sage.rings.semirings.tropical_polynomial.TropicalPolynomialSemiring attribute) (sage.rings.semirings.tropical_semiring.TropicalSemiring attribute)

extremum_cycle_mean() (sage.rings.semirings.tropical_matrix.Matrix_tropical_dense method)

F

factor() (sage.rings.semirings.tropical_polynomial.TropicalPolynomial method)

G

gen() (sage.rings.semirings.tropical_mpolynomial.TropicalMPolynomialSemiring method) (sage.rings.semirings.tropical_polynomial.TropicalPolynomialSemiring method) gens() (sage.rings.semirings.tropical_mpolynomial.TropicalMPolynomialSemiring method) (sage.rings.semirings.tropical_polynomial.TropicalPolynomialSemiring method) (sage.rings.semirings.tropical_semiring.TropicalSemiring method)

genus() (sage.rings.semirings.tropical_variety.TropicalCurve method)

I

infinity() (sage.rings.semirings.tropical_semiring.TropicalSemiring method) interpolation() (sage.rings.semirings.tropical_polynomial.TropicalPolynomialSemiring method)

is_simple() (sage.rings.semirings.tropical_variety.TropicalCurve method) is_smooth() (sage.rings.semirings.tropical_variety.TropicalCurve method) is_sparse() (sage.rings.semirings.tropical_polynomial.TropicalPolynomialSemiring method)

K

kleene_star() (sage.rings.semirings.tropical_matrix.Matrix_tropical_dense method)

L

lift() (sage.rings.semirings.tropical_semiring.TropicalSemiringElement method)

M

Matrix_tropical_dense (class in sage.rings.semirings.tropical_matrix) module sage.rings.semirings.non_negative_integer_semiring sage.rings.semirings.tropical_matrix sage.rings.semirings.tropical_mpolynomial sage.rings.semirings.tropical_polynomial sage.rings.semirings.tropical_semiring sage.rings.semirings.tropical_variety

multiplicative_identity() (sage.rings.semirings.tropical_semiring.TropicalSemiring method) multiplicative_order() (sage.rings.semirings.tropical_semiring.TropicalSemiringElement method)

N

newton_polytope() (sage.rings.semirings.tropical_mpolynomial.TropicalMPolynomial method) ngens() (sage.rings.semirings.tropical_mpolynomial.TropicalMPolynomialSemiring method) (sage.rings.semirings.tropical_polynomial.TropicalPolynomialSemiring method)

NonNegativeIntegerSemiring (class in sage.rings.semirings.non_negative_integer_semiring) number_of_components() (sage.rings.semirings.tropical_variety.TropicalVariety method)

O

one() (sage.rings.semirings.tropical_mpolynomial.TropicalMPolynomialSemiring method) (sage.rings.semirings.tropical_polynomial.TropicalPolynomialSemiring method) (sage.rings.semirings.tropical_semiring.TropicalSemiring method)

P

piecewise_function() (sage.rings.semirings.tropical_polynomial.TropicalPolynomial method) plot() (sage.rings.semirings.tropical_polynomial.TropicalPolynomial method) (sage.rings.semirings.tropical_variety.TropicalCurve method) (sage.rings.semirings.tropical_variety.TropicalSurface method)

plot3d() (sage.rings.semirings.tropical_mpolynomial.TropicalMPolynomial method)

R

random_element() (sage.rings.semirings.tropical_mpolynomial.TropicalMPolynomialSemiring method) (sage.rings.semirings.tropical_polynomial.TropicalPolynomialSemiring method)

roots() (sage.rings.semirings.tropical_polynomial.TropicalPolynomial method)

S

sage.rings.semirings.non_negative_integer_semiring module sage.rings.semirings.tropical_matrix module sage.rings.semirings.tropical_mpolynomial module sage.rings.semirings.tropical_polynomial module

sage.rings.semirings.tropical_semiring module sage.rings.semirings.tropical_variety module split_form() (sage.rings.semirings.tropical_polynomial.TropicalPolynomial method) strong_transitive_closure() (sage.rings.semirings.tropical_matrix.Matrix_tropical_dense method) subs() (sage.rings.semirings.tropical_mpolynomial.TropicalMPolynomial method)

T

term_order() (sage.rings.semirings.tropical_mpolynomial.TropicalMPolynomialSemiring method) tropical_variety() (sage.rings.semirings.tropical_mpolynomial.TropicalMPolynomial method) TropicalCurve (class in sage.rings.semirings.tropical_variety) TropicalMPolynomial (class in sage.rings.semirings.tropical_mpolynomial) TropicalMPolynomialSemiring (class in sage.rings.semirings.tropical_mpolynomial) TropicalPolynomial (class in sage.rings.semirings.tropical_polynomial)

TropicalPolynomialSemiring (class in sage.rings.semirings.tropical_polynomial) TropicalSemiring (class in sage.rings.semirings.tropical_semiring) TropicalSemiringElement (class in sage.rings.semirings.tropical_semiring) TropicalSurface (class in sage.rings.semirings.tropical_variety) TropicalToTropical (class in sage.rings.semirings.tropical_semiring) TropicalVariety (class in sage.rings.semirings.tropical_variety)

V

vertices() (sage.rings.semirings.tropical_variety.TropicalCurve method)

W

weak_transitive_closure() (sage.rings.semirings.tropical_matrix.Matrix_tropical_dense method)

weight_vectors() (sage.rings.semirings.tropical_variety.TropicalCurve method) (sage.rings.semirings.tropical_variety.TropicalVariety method)

Z

zero() (sage.rings.semirings.tropical_mpolynomial.TropicalMPolynomialSemiring method) (sage.rings.semirings.tropical_polynomial.TropicalPolynomialSemiring method) (sage.rings.semirings.tropical_semiring.TropicalSemiring method)