Linear inequality implies linearity and order. When combined, the two produce an ordered vector space. Each linear inequality in the simplest environment of the sort is some half-space. Simultaneity implies many instances and so leads to the intersections of half-spaces. These yield polyhedra as well as arbitrary convex sets, identifying the theory of linear inequalities with convexity.
| Full text file: | Kutateladze_talk_lya-100.pdf |
| Presentation file: | Kutateladze_prezentation.pdf |