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Search Results: 1 - 10 of 518 matches for " Ond?ej Zindulka "
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Hausdorff dimension of metric spaces and Lipschitz maps onto cubes
Tamás Keleti,András Máthé,Ondej Zindulka
Mathematics , 2012, DOI: 10.1093/imrn/rns223
Abstract: We prove that a compact metric space (or more generally an analytic subset of a complete separable metric space) of Hausdorff dimension bigger than $k$ can be always mapped onto a $k$-dimensional cube by a Lipschitz map. We also show that this does not hold for arbitrary separable metric spaces. As an application we essentially answer a question of Urba\'nski by showing that the transfinite Hausdorff dimension (introduced by him) of an analytic subset $A$ of a complete separable metric space is the integer part of $\dim_H A$ if $\dim_H A$ is finite but not an integer, $\dim_H A$ or $\dim_H A-1$ if $\dim_H A$ is an integer and at least $\omega_0$ if $\dim_H A=\infty$.
Properties of functions with monotone graphs
Ondej Zindulka,Michael Hru?ák,Tamás Mátrai,Ale? Nekvinda,Václav Vlasák
Mathematics , 2012,
Abstract: A metric space (X,d) is monotone if there is a linear order < on X and a constant c>0 such that d(x,y) < c d(x,z) for all x
Computational Studies of Bacterial Colony Model  [PDF]
Ondej Pártl
American Journal of Computational Mathematics (AJCM) , 2013, DOI: 10.4236/ajcm.2013.32023

Microbiological experiments show that the colonies of the bacterium bacillus subtilis placed on a dish filled with an agar medium and nutrient form varied spatial patterns while the individual cells grow, reproduce and migrate on the dish in clumps. In this paper, we discuss a system of reaction-diffusion equations that can be used with a view to modelling this phenomenon and we solve it numerically by means of the method of lines. For the spatial discretization, we use the finite difference method and Galerkin finite element method. We present how the spatial patterns obtained depend on the spatial discretization employed and we measure the experimental order of convergence of the numerical schemes used. Further, we present the numerical results obtained by solving the model in a cubic domain.

Symplectic difference systems: oscillation theory and hyperbolic Prüfer transformation
Ond ej Do ly
Abstract and Applied Analysis , 2004, DOI: 10.1155/s108533750430607x
Abstract: We present basic methods of oscillationtheory of symplectic difference systems (SDSs). A particularattention is devoted to the variational principle and to thetransformation method. Hyperbolic Prüfer transformation for SDSs is established.
Use of CFD Tool Ansys Fluent for Fire Safety Improvement of an Indoor Sports Arena
Ond ej Zavila
Transactions of the VSB - Technical University of Ostrava, Safety Engineering Series , 2012, DOI: 10.2478/v10281-012-0004-y
Abstract: The focus of the article is the design of a HVAC (heating, ventilation and air-conditioning) system for the main central space of a real multifunctional indoor sports arena. Numerical simulation of the air flow provided a basis to determine the optimal number of fire ventilators, their capacity and placement, and also to determine the maximum air-flow velocity in openings designed for evacuation in the event of an emergency. The ANSYS Fluent 13.0 software one of the world's most sophisticated CFD (computational fluid dynamics) codes was used for the numerical simulation. In this case, the specific problem of a turbulent flow in a complex geometry was under investigation. This study should serve as a base for future installation of the system in the indoor sports arena.
Analyza systému Android ve vztahu ke klientské ásti informa ních systém
Ondej Berger
Systémová Integrace , 2011,
Abstract: There is a quite massive development in mobile technologies. Relatively new platform Android is becoming an interesting alternative for developing a client application for information systems because of its adaptability to various devices from cell phones to netbooks. Following text targets to analysis how to create a mobile client on Android and Android based application components. Android application parts and other important aspects (like context awarennes) are analysed in way how to use them as parts of mobile client. There is also a small development comparsion with Java Micro Edition because Android uses Java as its programming language.
Car rest-view mirror holder position determination by an industrial camera
Ondej Matú?ek
GRANT journal , 2012,
Abstract: Presented article occupies with the position determinationpossibility of few types a car rear-view mirror holder placed on awindscreen. The aim of experiments was to verify a possibility ofholder scanning and to reliably determine their location. Holders areplaced on the glass with black printmaking. According to thisexperiment recommended adjustment of each component for futureposition determination by an industrial camera was set.
A remark on the linearization technique in half-linear oscillation theory
Ondej Do?ly
Opuscula Mathematica , 2006,
Abstract: We show that oscillatory properties of the half-linear second order differential equation $$(r(t)\Phi(x'))'+c(t)\Phi(x)=0,\quad\Phi(x)=|x|^{p-2}x,\quad p>1,$$ can be investigated via oscillatory properties of a certain associated second order linear differential equation. In contrast to paper [6], we do not need to distinguish between the cases $p\ge 2$ and $p\in (1, 2]$. Our results also improve the oscillation and nonoscillation criteria given in [4].
Balík, Stanislav: Komunální politika. Obce, akté i a cíle místní politiky. Praha: Grada Publishing, 2009
Ondej Kopa
St?edoevropské Politické Studie , 2010,
Abstract: book review
Makariusová, Radana: Transformace světového ádu. Akté i a globální vládnutí. Plzeň: Ale eněk, 2010, 229 stran, ISBN: 978-80-7380-295-0.
Ondej Lánsky
St?edoevropské Politické Studie , 2011,
Abstract: Book Review
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