Параллелоэдры—это многогранники, разбивающие евклидово пространство параллельными
копиями. Этот класс многогранников имеет приложения как в математике, так и …

A sharp affine isoperimetric inequality is established which gives a sharp lower bound for the
volume of the polar body. It is shown that equality occurs in the inequality if and only if the …

… Fault tolerance evaluation of linear constrained MPC using zonotope-based set
computations. Journal of Systems and Control Engineering, 6(221):915–926. …

The state estimation of discrete-time systems in the presence of random disturbances and
measurement noise is an important field in modern control theory. A significant research effort …

Genetic regulatory networks usually encompass a multitude of complex, interacting feedback
loops. Being able to model and analyze their behavior is crucial for understanding their …

Reinforcement learning (RL) for a linear family of tasks is described in this paper. The key of
our discussion is nonlinearity of the optimal solution even if the task family is linear; we …

In this work interval arithmetic is used for the calculation of interval envelopes in the
parameter interval based fault isolation method. Thanks the advantage of interval arithmetic of …

We present a simple bijection between Baxter permutations of size $n$ and plane bipolar
orientations with n edges. This bijection translates several classical parameters of …

Recently Guth and Katz [16] invented, as a step in their nearly complete solution of Erdos’s
distinct distances problem, a new method for partitioning finite point sets in Rd, based on the …

We are studying the Tutte Polynomial of hyperplane arrangements. We discuss some previous
work done to compute these polynomials. Then we explain our method to calculate the …