What
Replace (ℝ, +, ×) by the tropical semiring (ℝ, min, +). Tropical polynomials define piecewise-linear hypersurfaces; tropical Gröbner bases exist.
Applications
Phylogenetics, polyhedral combinatorics, mirror symmetry, initial degenerations of varieties.
Tracked from mathematical coverage gap analysis.
What
Replace (ℝ, +, ×) by the tropical semiring (ℝ, min, +). Tropical polynomials define piecewise-linear hypersurfaces; tropical Gröbner bases exist.
Applications
Phylogenetics, polyhedral combinatorics, mirror symmetry, initial degenerations of varieties.
Tracked from mathematical coverage gap analysis.