On the New Definition of Injured Party’s Fiduciary

Regarding adoption of the Act No. 45/2013 Coll., Victim of Crime Act, was also conducted extensive amendments to the Code of Criminal Procedure, which among others significantly affected the position of the injured party in the criminal proceedings. The most significant changes, however, were made in regulating of the legal status of the representative of the injured. The purpose of this paper is not only to give information with respect to the changes in the legislation, but also to stimulate discussion on some particular issues which will be probably the subject of interest in the future of the courts and subsequently other possible legislative changes

An Eberhard-like theorem for pentagons and heptagons

Eberhard proved that for every sequence (p k ), 3≤k≤r, k≠6, of nonnegative integers satisfying Euler’s formula ∑ k≥3(6−k)p k =12, there are infinitely many values p 6 such that there exists a simple convex polyhedron having precisely p k faces of size k for every k≥3, where p k =0 if k>r. In this paper we prove a similar statement when nonnegative integers p k are given for 3≤k≤r, except for k=5 and k=7 (but including p 6). We prove that there are infinitely many values p 5,p 7 such that there exists a simple convex polyhedron having precisely p k faces of size k for every k≥3. We derive an extension to arbitrary closed surfaces, yielding maps of arbitrarily high face-width. Our proof suggests a general method for obtaining results of this kind