In the paper we introduce the notion of weighted 2-sections of hypergraphs with integer weights and study the following hypergraph reconstruction problems: (1) Given a weighted graph , is there a hypergraph H such that is its weighted 2-section? (2) Given a weighted 2-section , find a hypergraph H such that is its weighted 2-section. We show that (1) is NP-hard even if G is a complete graph or integer weights w does not exceed...

W pracy przedstawiono przegląd technik eksperymentalnych umożliwiających detekcję elektronów rozproszonych w przedziale dużych kątów rozproszenia, ze szczególnym uwzględnieniem techniki lokalnego pola magnetycznego. Przedstawione zostały wyniki pomiarów i obliczeń teoretycznych różniczkowych przekrojów czynnych dla dużych kątów rozproszenia elektronów na atomach gazów szlachetnych i małych molekuł.

Permanent urban growth of the world of today world implies demanding challenges for the steel construction industry. Nowadays, one of the most important issues is the cost optimization of steel structures. Since the weight of building materials is a major component of the total cost, engineers and designers try to reduce structural weight, without compromising durability and sustainability of a steel structure. Therefore, light...

The paper presents the analytical method of modelling the diverging track of railway turnout with nonlinear curvature sections. These sections were used for smoothing the graph of curvature in the extreme areas of turnout. The problem of the curvature distribution was identified with the use of differential equations. The resulting solutions are of universal nature for example the ability of assuming any values of curvature at...