W pracy zaproponowano modyfikację metody charakterystyk bazującej na stochastycznej metodzie różnic skończonych. Podejście takie pozwoliło na uwzględnienie przestrzennej zmienności podłoża gruntowego przy ocenie nośności granicznej ławy fundamentowej posadowionej na losowym podłożu. Przeprowadzono analizę wpływu dyskretyzacji ośrodka gruntowego na rozwiązanie oraz rozpatrzono jego zbieżności.

Ramsey-type theorems are strongly related to some results from information theory. In this paper we present these relations.

The Urban Initiative Laboratory (UIL) aims to upgrade the smart city concept in Gdańsk by introducing the Food-Water-Energy (FWE) nexus to the city. It was agreed in the CRUNCH international consortium that projects on different scales would be implemented in the individual countries to test the Integrated Decision Supportive system platform, which would, in principle, concern urban scale. The regular urban scale was to be researched...

Based on state and channel isomorphism we point out that semidefiniteprogramming can be used as a quick test for nonzero one-way quantum channelcapacity. This can be achieved by searching for symmetric extensions of statesisomorphic to a given quantum channel. With this method we provide examplesof quantum channels that can lead to high entanglement transmission but stillhave zero one-way capacity, in particular, regions of symmetric...

In this survey we present exact values and bounds on the Shannon capacity for different classes of graphs, for example for regular graphs and Kneser graphs. Additionally, we show a relation between Ramsey numbers and Shannon capacity.