In mathematics, tropical geometry is the study of polynomials and their geometric properties when addition is replaced with minimization and multiplication...

Introduction to Tropical Geometry is a book on tropical geometry, by Diane Maclagan and Bernd Sturmfels. It was published by the American Mathematical...

Absolute geometry Affine geometry Algebraic geometry Analytic geometry Birational geometry Complex geometry Computational geometry Conformal geometry Constructive...

is cryptography based on the tropical semiring. Tropical geometry is an analog to algebraic geometry, using the tropical semiring. Litvinov, G. L. (2005)...

objects in a generalized algebraic geometry. Versions of a tropical geometry, of an absolute geometry over a field with one element and an algebraic analogue...

In algebraic geometry, a tropical compactification is a compactification (projective completion) of a subvariety of an algebraic torus, introduced by Jenia...

simplicial complexes and arise in various areas of polyhedral geometry, such as tropical geometry, splines and hyperplane arrangements. A polyhedral complex...

algebraic geometry. Versions of a tropical geometry, of an absolute geometry over a field of one element, and an algebraic analogue of Arakelov's geometry were...

mathematics are tropical geometry, commutative algebra, and optimization. Nonlinear algebra is closely related to algebraic geometry, where the main objects...

respectively. The tropical semiring has various applications (see tropical analysis), and forms the basis of tropical geometry. The name tropical is a reference...

commutative algebra and algebraic geometry, with an emphasis on toric varieties, Hilbert schemes, and tropical geometry. As a student at Burnside High School...

Tanzanian airline Tropical Airways, a defunct Haitian airline Tropical geometry, a mathematical area studying geometry over the tropical semiring MS Tropicale...

research involves combinatorial commutative algebra, graph theory, and tropical geometry. Chan was inspired to become a violinist as a pre-schooler, seeing...

applications to polyhedral combinatorics, linear programming, tropical geometry, toric geometry and other areas of mathematics. Given a convex polytope P...

appearance in tropical geometry. The cone over the Petersen graph is naturally identified with the moduli space of five-pointed rational tropical curves. The...

mathematics, including algebraic geometry, commutative algebra, discrete geometry, Gröbner bases, toric varieties, tropical geometry, algebraic statistics, and...

continuous model of self-organised criticality is proposed by using tropical geometry. Key theoretical issues yet to be resolved include the calculation...

In tropical geometry, a tropical projective space is the tropical analog of the classic projective space. Given a module M over the tropical semiring...

complex variables. Amoebas have applications in algebraic geometry, especially tropical geometry. Consider the function Log : ( C ∖ { 0 } ) n → R n {\displaystyle...

more exotic structure to which linear algebra can be applied, see Tropical geometry. The system of one equation in one unknown 2 x = 4 {\displaystyle...

In mathematics, real algebraic geometry is the sub-branch of algebraic geometry studying real algebraic sets, i.e. real-number solutions to algebraic equations...

equal to zero. The identity is also actually true in the context of tropical geometry, where multiplication is replaced with addition, and addition is replaced...

mathematician known for her work on algebraic geometry, particularly toric geometry, tropical geometry, and their applications to biological systems....

areas of mathematics involving convex and algebraic geometry, such as toric and tropical geometry. Free and open-source software portal Comparison of...

an American mathematician known for her work on cluster algebras, tropical geometry, algebraic combinatorics, amplituhedra, and the positive Grassmannian...

least squares is used. Linear interpolation Spline interpolation Tropical geometry Polygonal chain Apps, P., Long, N., & Rees, R. (2014). Optimal piecewise...

This is a glossary of algebraic geometry. See also glossary of commutative algebra, glossary of classical algebraic geometry, and glossary of ring theory...

{\displaystyle {\mathcal {G}}.} F1‑geometry has been linked to tropical geometry, via the fact that semirings (in particular, tropical semirings) arise as quotients...

reasons, in tropical geometry one replaces multiplication with addition and addition with maximization. In this context, addition is called "tropical multiplication"...

Takagi, Hiroshi (August 18, 2021). "A new tropical cyclone surge index incorporating the effects of coastal geometry, bathymetry and storm information". Scientific...