q-Karamata functions and second order q-difference equations

In this paper we introduce and study $q$-rapidly varying functions on the lattice $q^{N_0}:=\{q^k:k\in N_0\}$, $q>1$, which naturally extend the recently established concept of $q$-regularly varying functions. These types of functions together form the class of the so-called $q$-Karamata functions. The theory of $q$-Karamata functions is then applied to half-linear $q$-difference equations to get information about asymptotic behavior of nonoscillatory solutions. The obtained results can be seen as $q$-versions of the existing ones in the linear and half-linear differential equation case. However two important aspects need to be emphasized. First, a new method of the proof is presented. This method is designed just for the $q$-calculus case and turns out to be an elegant and powerful tool also for the examination of the asymptotic behavior to many other $q$-difference equations, which then may serve to predict how their (trickily detectable) continuous counterparts look like. Second, our results show that $q^{N_0}$ is a very natural setting for the theory of $q$-rapidly and $q$-regularly varying functions and its applications, and reveal some interesting phenomena, which are not known from the continuous theory

Optimization of the structure and drive turntable WJ cabin, propose mechanism tipping cutting table

Diplomová práce obsahuje uvedení do tématu Waterjet obrábění, optimalizaci pohonu otočného křídla waterjet kabiny, návrh odlehčení otočného křídla, návrh variant systému sklápění střední konzoly otočného stolu waterjet kabiny. Návrhy jsou podloženy MKP výpočty provedeními v programu SIEMENS NX 9.0, 3D modelovou a výkresovou dokumentací zpracovanou v programu SOLIDWORKS 2013, srovnáním s konkurencí a ekonomickým hodnocením.Katedra konstruování strojůObhájenoDiploma thesis contains an introduction to the theme of Waterjet machining, optimization drive of waterjet cabin rotary wing, reduction weight of rotary wing proposal, design variants of tipping rotary desk of waterjet cabin. The proposals are based on FEM computations performed with usage of SIEMENS NX 9.0, 3D design and drawings performed in SolidWorks 2013. Additional content is comparison with the competitors and technical economic evaluation

Porovnání provozně ekonomických parametrů vybraných skupin tahačů návěsů

The aim of this diploma thesis is to find and evaluate decisive operational and economic indicators in a statistically significant group of trucks. They have a high level of chance and are therefore very difficult to determine in advance. These operating and economic indicators included repair and maintenance costs obtained from invoices, financial statements and the results of transport companies' operations. These costs were monitored for the time of operation of these trucks

Traffic Models as Support Tools of a Traffic Engineer - a Case Study

ústav aplikované matematik

Environmental sustainability of the city Pilsen

Tato bakalářská práce je vypracována na téma Environmentální udržitelnost města Plzeň. Cílem práce je představit čtenáři koncept udržitelného rozvoje. Na základě získaných informací následně aplikovat tyto znalosti na vybranou lokalitu.ObhájenoThis bachelor's thesis is prepared on the topic of environmental sustainability of the city of Pilsen. The aim of the work is to introduce the concept of sustainable development to the reader. Based on the information obtained, subsequently apply this knowledge to the selected location