The aim of this thesis is to evaluate body proportions horses in individuals with licenses for jumping competitions in the context of their own performance. This work included the horses, which showed a jump performance in races registered under the auspices of the Czech Equestrian Federation in 2012 and 2013. The database for statistical evaluation was manual entry of data after measurement of the monitored variables and taking pictures. From the obtained photographs were measured angles in a computer program. The first theoretical part focuses on the history of breeding, list of commonly used breeds of sport horses, jumping obstacles and insight into the rules jumping competitions. As the theoretical part is devoted to the anatomy of the horse's body. In the practical part are statistically evaluated the effects of each effect using the general linear model. In case that the influence proved was subsequently assessed by a multiple comparison by Scheffe. Of the 10 observed proportions was statistically highly significant 1 and 5 statistically significant. The gender analysis showed that the highest values achieved stallions whose average performance was 137,08 cm. From this we can conclude that this is the highest-performing sex. Gender analysis showed that the longest blade occurs in a group called " Other sporting breeds ". Conversely, the shortest length was measured in the Czech warmblood. As another method of Pearson's correlation was used to measure the strength of the linear relationship between two variables. This method confirmed the correlation between the observed seven dimensions.

This diploma thesis deals with the performance of show jumping horses in the Czech Republic, as well as worldwide. The theoretical overview describes the historical development and also the current situation in the show jumping discipline, presented are the binding rules for this discipline, and the subsequent chapter mentions particular show jumping horse breeds which are bred for performing on the highest levels. The thesis deals with the statistical evaluation of particular factors, such as age, sex, breed, coat color and year of start, and their individual impact on the performance of horses. Data for analysis have been gathered from the overview of sporting horses (“prehľad športových koní” ) published on web pages of the Czech Equestrian Federation and web pages of the FEI (International Federation for Equestrian Sports) from years 2010 and 2016. Statistically significant impact has been proven for all above mentioned factors, while the coat color has been proven as statistically significant only in the year 2010. It is possible to claim that horses of Isabella color are statistically the least successful. Zangersheide has been evaluated as the most successful horse breed in the Czech Republic with the highest performance AAP 5,14. Stallions are considered the sex with the highest performance with AAP 4,44, and the best results have been reached by horses in the age category 7-12 years, AAP 4,02 in particular. In addition, the category of horses aged 7-12 years showed also the highest amount of starts in competitions, 22 starts in average. The overall performance in 2016 has significantly improved compared to 2010, increasing by AAP 0,42 in average. Zangersheide has been proven the most successful horse breed worldwide with 710,95 AAP, followed by the Holsteiner Horse with 706,55 AAP and the Oldenburg Horse as the third most successful breed with 673,44 AAP. The worldwide situation has also improved when compared to 2010, and the performance keeps increasing. Furthermore, the lowest and also the highest rankings increase as well. Among the age categories, horses aged 17 and more years are the leading category worldwide, while the youngest horses reach the lowest amount of AAP. Considering the factor of sex, the best results have been proven for mares, while geldings earned the lowest amounts of AAP. It is possible to observe and positively conclude that the world trend in many respects coincides with the trend in the Czech Republic, and it is a matter of time when the rankings in the Czech Republic reach the worldwide levels.

Multiple original results in the theory of automata and formal languages are presented, dealing mainly with combinatorial problems and complexity questions related to reset words and road coloring. The other results concern jumping finite automata and related types of rewriting systems. Powered by TCPDF (www.tcpdf.org)

The diploma thesis deals with computational analysis of driving behavior of a vehicle. The first section summarizes and explains the basic parameters of steering geometry. Next section covers the tests which are used to study driving behavior of vehicles. The practical part consists of computational model that is able to simulate and evaluate tests of step steer input.

In the present thesis we deal with several possible approaches to financial de- rivatives pricing. In the first part, we introduce the basic types of derivatives and the methods of trading. Furthermore, we present several models for the valuati- on of specific financial derivative, i.e. options. Firstly we describe Black-Scholes model in detail, which considers that the development of the underlying asset price is governed by Wiener process. Following are the jumps diffusion models that are extension of the Black-Scholes model with jumps. Then we get to jump models, which are based on Lévy processes. Finally, we will deal with the model, which considers that the development of the underlying asset price is governed by fractional Brownian motion with Hurst's coefficient greater than 1/2. All models are suplemented with sample examples. 1