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A new generalized projection and its application to acceleration of audio declipping
(MDPI, 20190919)In convex optimization, it is often inevitable to work with projectors onto convex sets composed with a linear operator. Such a need arises from both the theory and applications, with signal processing being a prominent ... 
Straddled numbers: numbers equal to the sum of powers of consecutive primes from the least prime factor to the largest prime factor
(Bulgarian Academy of Sciences, 20190702)Positive integers equal to the sum of powers of consecutive primes from the least prime factor to the largest prime factor are studied. They are called the straddled numbers and their properties are derived. There are also ... 
On elliptic curves with a closed component passing through a hexagon
(Ovidius University, 20190601)In general, there exists an ellipse passing through the vertices of a convex pentagon, but there is no ellipse passing through the vertices of a convex hexagon. Thus, attention is turned to algebraic curves of the third ... 
Komprimované snímání perfúzního zobrazování v MRI
(Společnost elektrotechnického inženýrství, 20131120)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 ... 
Topological structuring of the digital plane
(DMTCS, 20130801)We discuss an Alexandroff topology on the digital plane having the property that its quotient topologies include the Khalimsky and MarcusWyse topologies. We introduce a further quotient topology of the topology discussed and ... 
Funkcionální analýza s aplikacemi ve zpracování signálů
(Vysoké učení technické v Brně, 20150101)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. ... 
Applications of the discontinuous Galerkin method to propagating acoustic wave problems
(SAGE Publishing, 20170616)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. 
On the stability of some properties of partial algebras under powers
(SAV, 20140401)In the paper, we study eight properties of partial algebras most of which are related to diagonality. For each of the properties, we give sufficient conditions under which this property is preserved by powers of partial algebras. 
Stability of the zero solution of nonlinear differential equations under the influence of white noise
(SpringerOpen, 20150507)The paper deals with a system of nonlinear differential equations under the influence of white noise. This system can be used as a mathematical model of various real problems in finance, mathematical biology, climatology, ... 
Threeaxes error modeling based on second order dual numbers
(SpringerVerlag, 20151117)The aim of the paper is to employ the dual numbers in the multi axes machine error modelling in order to apply the algebraic methods in computations. The calculus of higher order dual numbers allows us to calculate with ... 
Stability and asymptotic properties of a linear fractional difference equation
(Springer Nature, 20120723)This paper discusses qualitative properties of the twoterm linear fractional difference equation with respect to its stability and asymptotics. Some consequences to the theory of Volterra difference equations are presented ... 
Fredholm alternative for the secondorder singular Dirichlet problem
(Springer, 20140113)It is found condition guarantees the validity of the Fredholm alternative for the secondorder singular Dirichlet problem. 
Fredholm's third theorem for second order singular Dirichlet problem
(Springer, 20140318)There are found conditions guarantee the validity of the third Fredholm's theorem for the secondorder singular Dirichlet problem. 
Power functions and essentials of fractional calculus on isolated time scales
(Springer, 20130823)This paper concerns with a recently suggested axiomatic definition of power functions on a general time scale and its consequences to fractional calculus. Besides a discussion of existence and uniqueness of such functions, ... 
Automatic lane marking extraction from point cloud into polygon map layer
(Tayor and Francis, 20181129)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 ... 
Postnatal Development of the Urine Cortisol/Creatinine Ratio in the Dog
(University of Veterinary and Pharmaceutical Sciences in Brno, 20081219)The objective of this study was to determine the cortisol to creatinine ratio in urine of growing puppies between birth and the age of 8 weeks. Beagle puppies (n = 14) of three litters were used. The puppies of litters 1 ... 
The Effect of Sterilization on Size and Shape of Fat Globules in Model Processed Cheese Samples
(University of Veterinary and Pharmaceutical Sciences in Brno, 20060511)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 ... 
Simulation of the acoustic wave propagation using a meshless method
(EDP Sciences, 20170512)This paper presents numerical simulations of the acoustic wave propagation phenomenon modelled via Linearized Euler equations. A meshless method based on collocation of the strong form of the equation system is adopted. ... 
Local controllability of trident snake robot based on subRiemannian extremals
(Universit`a del Salento, 20170524)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 ... 
On a product of universal hyperalgebras
(Faculty of Mathematics and Computer Science, Ovidius University, 20150515)We introduce and study a new operation of product of universal hyperalgebras which lies, with respect to set inclusion, between the cartesian product of the hyperalgebras and the cartesian product of their idempotent hulls. ...