In the case of random walks in convex bodies, we show that this new bound is better than the known bounds for the worst case.
Therefore, a concave body may be virtually cut into several convex subbodies at the stage of creating the geometry model of the body.
All the objects except one were oval and loaf-shaped; they had a flat base and a rounded, convex body (figures 3 and 4).
In the model presented in this paper, it is assumed that enforcement costs are non-linear, specifically that they are a convex function of effort.
Section 2 describes the approach for the construction of enclosing and enclosed ellopsoids of convex polyhedra.
One approach to solve convex optimization problems is via the solution of its dual.
This occurs at an interior point since is convex and intersects exactly at one point.
Formally, and more generally, an exclusive reliance on accounting prices is justified only if production technologies are convex.