… Readdy, The cd-index of zonotopes and arrangements, in Mathematical Essays in Honor
of Gian-Carlo Rota, BE Sagan and RP Stanley, eds., Birkhäuser, Boston, 1998, pp. 23–40. …

We begin with a review of basic geometric notions such as hyperplanes and affine subspaces
in Rd, and we spend some time by discussing the notion of general position. Then we …

Interval simulation methods have proven powerful tools to calculate guaranteed bounds of
the state variables of systems with uncertain but bounded parameters. Such simulations can …

Virtual reality applications refer to the use of computers to simulate a physical environment
in such a way that humans can readily visualize, explore, and interact with “objects” in this …

In this article, we introduce certain flow polynomials associated with digraphs and use them
to study nowhere-zero flows from a commutative algebraic perspective. Using Hilbert's …

We show how to construct a cubic partial cube from any simplicial arrangement of lines or
pseudolines in the projective plane. As a consequence, we find nine new infinite families of …

In this paper we propose an algorithm for approximating the reachable sets of systems
defined by polynomial differential equations. Such systems can be used to model a variety of …

The safe and reliable operation of technical systems is of great significance for the protection
of human life and health, the environment, and of the vested economic value. The correct …

In most applications in control engineering not all state variables can be measured.
Consequently, state estimation is performed to reconstruct the non-measurable states taking into …

In 1993 Lutwak established some analogs of the Brunn-Minkowsi inequality and the
Aleksandrov-Fenchel inequality for mixed projection bodies. In this paper, following Lutwak, we give …