Tropical geometry
id:
tropical-geometry-170-57649
title:
Tropical geometry
text:
In mathematics, tropical geometry is the study of polynomials and their geometric properties when addition is replaced with minimization and multiplication is replaced with ordinary addition:
- x ⊕ y = min { x, y },
- x ⊗ y = x + y. So for example, the classical polynomial x 3 + 2 x y + y 4 would become min { x + x + x, 2 + x + y, y + y + y + y }. Such polynomials and their solutions have important applications in optimization problems, for example the problem of optimizing departure times f
brand slug:
wiki
category slug:
encyclopedia
description:
Skeletonized version of algebraic geometry
original url:
https://en.wikipedia.org/wiki/Tropical_geometry
date created:
2004-07-30T10:06:08Z
date modified:
2024-09-01T03:31:48Z
main entity:
{"identifier":"Q2982669","url":"https://www.wikidata.org/entity/Q2982669"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/8/80/Cubique_tropicale_min.svg","width":354,"height":354}
fields total:
13
integrity:
16