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Tropical geometry is an exciting new field at the interface between algebraic geometry and combinatorics with connections to many other fields. At its heart it is geometry over the tropical semiring, which is R∪ with the usual operations of addition and multiplication replaced by minimum and addition respectively. This turns polynomials into piecewise linear functions,and replaces an algebraic variety by an object from polyhedral geometry,which can be regarded as a “combinatorial shadow” of the original variety.
Tropical geometry is an exciting new field at the interface between algebraic geometry and combinatorics with connections to many other fields. At its heart it is geometry over the tropical semiring, which is R∪ with the usual operations of addition and multiplication replaced by minimum and addition respectively. This turns polynomials into piecewise linear functions,and replaces an algebraic variety by an object from polyhedral geometry,which can be regarded as a “combinatorial shadow” of the original variety.
Desde los griegos a la actualidad, a lo largo de más de veinticinco siglos de historia, nunca se ha puesto en duda que la ciencia es el resultado de la interrelación de tres elementos básicos: la realidad o conjunto de los denominados hechos objetivos; la observación de los mismos mediante la experimentación; y la teoría, que construida a partir del más preciado de los dones del hombre, el pensamiento, trata de proporcionar una visión racional de los hechos. Sin estos tres elementos no sólo es i