Spatial vision is not obvious for everyone; thus, solving stereometric problems can be difficult for some secondary school students. This thesis on "Creation of Interactive Aids for Teaching Stereometry at Secondary Schools" focuses on one part of stereometry - sections of solids&#...

Many different mathematical models exist to describe market penetration after a new product is launched on a market. They usually assume an infinite continuous population and continuous time. These premises might be at odds with the real world, as the population is probably much&#x...

Thesis deals with semidefinite programming in combinatorial optimization. The first part is summarizes the theory needed to work in this field. In the second section we are dealing with Shannon capacity of the graph, Lovasz $\vartheta$ function, and with MAX CUT problem. The m...

The main purpose of this thesis is to propose changes and improvements of the Elo rating system for a prediction of the NBA games results and compare the prediction outcomes with a model of selected bookmaker and with the FiveThirtyEight model based on the Elo rating....

The work is devoted to the study of the appearance of arbitrage opportunity in betting on sports results, in particular football. This analysis treats of betting reality and conditions of arbitrage opportunities. The work displays conditions for the bookmaker to choose the&...