Browsing Ústav matematiky by Title
Now showing items 1-20 of 48
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Analysis of Machinability and Crack Occurrence of Steels 1.2363 and 1.2343ESR Machined by Die-Sinking EDM
(MDPI, 2020-04-19)Die-sinking electric discharge machining (EDM) is an indispensable technological operation, especially in the production of molds and all internal and external shapes and cavities. For this reason, the effect of machine ... -
Applications of the discontinuous Galerkin method to propagating acoustic wave problems
(SAGE Publishing, 2017-06-16)The purpose of this article is to demonstrate that the discontinuous Galerkin method is efficient and suitable to solve linearized Euler equations, modelling sound propagation phenomena. -
Automatic lane marking extraction from point cloud into polygon map layer
(Tayor and Francis, 2019-01-25)This paper concentrates on the road inventory process. The key part of road marking detection and reconstruction is based on spanning tree usage. The spanning trees are obtained from alpha shapes of the detected road ... -
A characterization of sliding vectors by dual numbers, some dual curves and the screw calculus
(Elsevier, 2019-12-31)Moving vectors, motors and screws are introduced and the mathematical background is explained: dual numbers are used for their description. Further, the paper deals with the dual space and curves in it. Some examples (in ... -
Connections in control strategy
(Estonian Academy of Sciences, 2014-03-14)We present an infinitesimal interpretation of the control theory, particularly of the part concerning dynamic systems. We use the original concept of a bundle connection, which lies in the idea of fibre transportation along ... -
Cube-root-subgroups of SL_2 over imaginary quadratic integers
(Vladimir Andrunakievich Institute of Mathematics and Computer Science, 2021-09-01)All cube roots of the identity in the special linear group of $2\times 2$-matrices with entries in the ring of integers in $\mathbb Q[\sqrt{d}]$ are described. These matrices generate subgroups of the third order; it is ... -
Decaying positive global solutions of second order difference equations with mean curvature operator
(University of Szeged, 2020-12-21)A boundary value problem on an unbounded domain, associated to difference equations with the Euclidean mean curvature operator is considered. The existence of solutions which are positive on the whole domain and decaying ... -
Discrete Riccati matrix equation and the order preserving property
(Elsevier, 2021-02-03)It is known that if a symmetric matrix differential equation has the order preserving property and the matrix dimension is at least 2, then this equation is the Riccati matrix differential equation (see A.N. Stokes, A ... -
Dual Numbers Approach in Multiaxis Machines Error Modeling
(Hindawi, 2014-06-01)Multiaxis machines error modeling is set in the context of modern differential geometry and linear algebra. We apply special classes of matrices over dual numbers and propose a generalization of such concept by means of ... -
The Effect of Sterilization on Size and Shape of Fat Globules in Model Processed Cheese Samples
(University of Veterinary and Pharmaceutical Sciences in Brno, 2006-05-11)Model cheese samples from 4 independent productions were heat sterilized (117 C, 20 minutes), after the melting process and packing with an aim to prolong their durability. The objective of the, study was to assess changes ... -
Existence and exact multiplicity of positive periodic solutions to forced non-autonomous Duffing type differential equations
(Bolyai Institute, University of Szeged, 2021-09-08)The paper studies the existence, exact multiplicity, and a structure of the set of positive solutions to the periodic problem u''=p(t)u+q(t,u)u+f (t); u(0)=u(\omega), u'(0)=u'(\omega), where p, f\in L([0,\omega]) and q : ... -
Fluid metabolism in athletes running seven marathons in seven consecutive days
(Frontiers, 2018-02-12)Navzdory poklesu tělesné hmotnosti byla rovnováha tekutin a elektrolytů udržována bez poklesu plazmatického objemu a celkové tělesné vody po sedmi maratónech během sedmi po sobě jdoucích dnů. Toto je první úplná studie o ... -
Fredholm alternative for the second-order singular Dirichlet problem
(Springer, 2014-01-13)It is found condition guarantees the validity of the Fredholm alternative for the second-order singular Dirichlet problem. -
Fredholm's third theorem for second order singular Dirichlet problem
(Springer, 2014-03-18)There are found conditions guarantee the validity of the third Fredholm's theorem for the second-order singular Dirichlet problem. -
Funkcionální analýza s aplikacemi ve zpracování signálů
(Vysoké učení technické v Brně, 2015-01-01)Látka je rozčleněna do sedmi kapitol s cílem podat ucelený výklad základů lineární funkcionální analýzy, který čtenáři umožní hlouběji pochopit matematickou podstatu a usnadnit tak následné studium podle aplikačního zaměření. ... -
Identifying the Coronal Source Regions of Solar Wind Streams from Total Solar Eclipse Observations and in situ Measurements Extending over a Solar Cycle
(IOP PUBLISHING LTD, 2021-04-12)This letter capitalizes on a unique set of total solar eclipse observations acquired between 2006 and 2020 in white light, Fe xi 789.2 nm (T-fexi = 1.2 0.1 MK), and Fe xiv 530.3 nm (T-fexiv = 1.8 0.1 MK) emission complemented ... -
The Influence of WEDM Parameters Setup on the Occurrence of Defects when Machining Hardox 400 Steel
(MDPI, 2019-11-09)The unconventional WEDM technology is a highly used technology for producing precise and indented shaped parts of all at least electrically conductive materials. This wide use makes this technology applicable in almost all ... -
Komprimované snímání perfúzního zobrazování v MRI
(Společnost elektrotechnického inženýrství, 2013-11-20)Perfúzní zobrazování v MRI je lékařská diagnostická metoda, kdy pacientovi podáme kontrastní látku a poté průběžně sledujeme průběh její koncentrace v postižené oblasti. Tuto závislost můžeme přibližně matematicky popsat ... -
Local controllability of trident snake robot based on sub-Riemannian extremals
(Universit`a del Salento, 2017-05-24)To solve trident snake robot local controllability by differential geometry tools, we construct a privileged system of coordinates with respect to the distribution given by Pffaf system based on local nonholonomic conditions ... -
Maxwell Points of Dynamical Control Systems Based on Vertical Rolling Disc-Numerical Solutions
(MDPI, 2021-07-12)We study two nilpotent affine control systems derived from the dynamic and control of a vertical rolling disc that is a simplification of a differential drive wheeled mobile robot. For both systems, their controllable Lie ...