منابع مشابه
Tropical Algebraic Geometry
There are many examples in algebraic geometry in which complicated geometric or algebraic problems can be transformed into purely combinatorial problems. The most prominent example is probably given by toric varieties — a certain class of varieties that can be described purely by combinatorial data, e.g. by giving a convex polytope in an integral lattice. As a consequence, most questions about ...
متن کاملAlgebraic Geometry
Physical objects and constraints may be modeled by polynomial equations and inequalities. For this reason algebraic geometry, the study of solutions to systems of polynomial equations, is a tool for scientists and engineers. Moreover, relations between concepts arising in science and engineering are often described by polynomials. Whatever their source, once polynomials enter the picture, notio...
متن کاملTropical Geometry
Tropical geometry still is a rather young field of mathematics which nevertheless over the past couple of years has proved to be rather powerful for tackling questions in enumerative geometry (see e.g. [Mik05], [GM08], [IKS04]). It also has been used to provide alternative algorithmic means to eliminate variables (see [StY08]). People from applied mathematics such as optimisation or control the...
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ژورنال
عنوان ژورنال: Hokkaido Mathematical Journal
سال: 2009
ISSN: 0385-4035
DOI: 10.14492/hokmj/1258554243