In Vienna, Josef Hlávka is mainly remembered as one of the most successful architects and builders of the 1860s. In a period of ten years from the 1860 to the 1870, he designed and built almost 150 buildings. One of the most significant achievements is the Vienna Opera which he built at the request of Emperor Franz Joseph I during the period of 1863-1869. The Emperor was very pleased with it and presented him with a special prize. and Josef Pechar, Marina Hužvárová.
The study illuminates the reign of King of the Romans and Hungary Sigismund of Luxembourg in the North of Veneto (Belluno, Feltre, Serravalle). This region was in Sigismund’s power only for a short time in 1411/12-1420 in connection with his military conflict with the Republic of Venice. Based on for the most part unpublished sources from the archives of the city of Bel- luno, attention is devoted to the people with whom the king entrusted administration of the area (imperial vicars and captains/castellans). It shows that the majority of these people and the garrisons assigned to them, the number of which reaches several dozen or even hundreds, apparently came from the Czech lands mainly in the period 1415-1420. Following step-by-step various aspects of the activity of the royal representatives and their garrisons, frequent conflicts with the local self-government and population stand out. and Ondřej Schmidt.
The entropy region is a fundamental object of study in mathematics, statistics, and information theory. On the one hand, it involves pure group theory, governing inequalities satisfied by subgroup indices, whereas on the other hand, computing network coding capacities amounts to a convex optimization over this region. In the case of four random variables, the points in the region that satisfy the Ingleton inequality (corresponding to abelian groups and to linear network codes) form a well-understood polyhedron, and so attention has turned to Ingleton-violating points in the region. How far these points extend is measured by their Ingleton score, where points with positive score are Ingleton-violating. The Four-Atom Conjecture stated that the Ingleton score cannot exceed 0.089373, but this was disproved by Matúš and Csirmaz. In this paper we employ two methods to investigate Ingleton-violating points and thereby produce the currently largest known Ingleton scores. First, we obtain many Ingleton-violating examples from non-abelian groups. Factorizability appears in many of those and is used to propose a systematic way to produce more. Second, we rephrase the problem of maximizing Ingleton score as an optimization question and introduce a new Ingleton score function, which is a limit of Ingleton scores with maximum unchanged. We use group theory to exploit symmetry in these new Ingleton score functions and the relations between them. Our approach yields some large Ingleton scores and, using this methodology, we find that there are entropic points with score 0.09250007770, currently the largest known score., Nigel Boston and Ting-Ting Nan., and Obsahuje bibliografické odkazy