Acta Polytechnica. 2017, vol. 57
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PLATFORM WITH CAMERA SYSTEM FOR MEASUREMENT OF COMPENSATORY MOVEMENTS OF SMALL ANIMALS
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2017)The article introduces systems and methods of a controllable rotational platform used for measuring compensatory movement of small animals. The system, based on a camera subsystem, is located on a mechanical platform powered ... -
UNDERGROUND AIR DUCT TO CONTROL RISING MOISTURE IN HISTORIC BUILDINGS: IMPROVED DESIGN AND ITS DRYING EFFICIENCY
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2017)The underground air ducts along peripheral walls of a building are a remediation method, which principle is to enable an air flow along the moist building structure’s surface to allow a sufficient evaporation of moisture ... -
RELATION BETWEEN LEFT VENTRICULAR UNLOADING DURING ECMO AND DRAINAGE CATHETER SIZE ASSESSED BY MATHEMATICAL MODELING
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2017)The flow-dependent left ventricle overload is a well-known complication of the veno-arterial extracorporeal membrane oxygenation in a severe cardiogenic shock, which leads to a distension of the left ventricle and, frequently, ... -
FUNCTIONAL REALIZATIONS OF LIE ALGEBRAS AS NOETHER POINT SYMMETRIES OF SYSTEMS
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2017)Functional realizations of Lie algebras are applied to the problem of determining Lie and Noether point symmetries of Lagrangian systems in N dimensions, particularly in the plane. This encompasses both the case of ... -
ALGEBRAIC DESCRIPTION OF SHAPE INVARIANCE REVISITED
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2017)We revisit the algebraic description of shape invariance method in one-dimensional quantum mechanics. In this note we focus on four particular examples: the Kepler problem in flat space, the Kepler problem in spherical ... -
PARAMETERS EFFECTING FORCED VORTEX FORMATION IN BLADE PASSAGEWAY OF DYNAMIC AIR CLASSIFIER
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2017)Air classification of particulate materials is a method of classifying particles into coarse and fine fractions based on their size, density, or shape. Performance of the rotor air classifier is affected by operating ... -
RATIONALLY EXTENDED SHAPE INVARIANT POTENTIALS IN ARBITRARY D DIMENSIONS ASSOCIATED WITH EXCEPTIONAL Xm POLYNOMIALS
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2017)Rationally extended shape invariant potentials in arbitrary D-dimensions are obtained by using point canonical transformation (PCT) method. The bound-state solutions of these exactly solvable potentials can be written in ... -
NEW SPECTRAL STATISTICS FOR ENSEMBLES OF 2 × 2 REAL SYMMETRIC RANDOM MATRICES
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2017)We investigate spacing statistics for ensembles of various real random matrices where the matrix-elements have various Probability Distribution Function (PDF: f(x)) including Gaussian. For two modifications of 2 × 2 matrices ... -
GENERATION OF TRANSPORT PATHS IN FRACTURED POROUS MEDIA
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2017)In this article, a method for generation of transport paths in combined equivalent porous media / discrete fracture network computational meshes is proposed as an alternative to a particle tracking method. It is based on ... -
ON THE COMMON LIMIT OF THE PT-SYMMETRIC ROSEN–MORSE II AND FINITE SQUARE WELL POTENTIALS
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2017)Two PT-symmetric potentials are compared, which possess asymptotically finite imaginary components: the PT-symmetric Rosen-Morse II and the finite PT-symmetric square well potentials. Despite their different mathematical ... -
STRENGHT AND DYNAMIC ANALYSIS OF A STRUCTURAL NODE LIMITING THE MULTI-OUTPUT GEAR MECHANISM
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2017)The rapidly advancing technological development leads to designing and researching a new multi- output gear mechanism. The investigated new double-output gear mechanism has two output coaxial shafts located against the ... -
LAMBERT FUNCTION METHODs TO STUDY LASER DYNAMICS WITH TIME-DELAYED FEEDBACK
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2017)Time-delayed differential equations arise frequently in the study of nonlinear dynamics of lasers with optical feedback and because the analytical solution of such equations can be intractable, one resorts to numerical ... -
FURTHER GENERALISATIONS OF THE KUMMER-SCHWARZ EQUATION: ALGEBRAIC AND SINGULARITY PROPERTIES
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2017)The Kummer–Schwarz Equation, 2y'y'''− 3(y'')2 = 0, has a generalisation, (n − 1)y(n−2)y(n) − ny(n−1)2 = 0, which shares many properties with the parent form in terms of symmetry and singularity. All equations of the class ... -
CRYPTO-HERMITIAN APPROACH TO THE KLEIN–GORDON EQUATION
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2017)We explore the Klein-Gordon equation in the framework of crypto-Hermitian quantum mechanics. Solutions to common problems with probability interpretation and indefinite inner product of the Klein-Gordon equation are proposed. -
LIE ALGEBRA REPRESENTATIONS AND RIGGED HILBERT SPACES: THE SO(2) CASE
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2017)It is well known that related with the irreducible representations of the Lie group SO(2) we find a discrete basis as well a continuous one. In this paper we revisited this situation under the light of Rigged Hilbert ... -
A METHOD FOR EVALUATION OF NON-UNIFORM RADIANT-CONVECTIVE LOAD ON HUMAN BODY DURING MENTAL WORK
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2017)The objective of this study was to develop a documentation for the amendment of the microclimatic part of the Czech Government Regulation, particularly in a non-uniform radiant-convective load evaluation. Changes in ... -
CONTRA-ROTATING PROPELLER AERODYNAMICS SOLVED BY A 3D PANEL METHOD WITH COUPLED BOUNDARY LAYER
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2017)The aerodynamics of contra-rotating propellers is a complex three-dimensional problem of an unsteady flow, which is often approached by assuming numerous simplifications. Presented computational model combines a 3D panel ... -
ON THE SPECTRUM OF THE ONE-DIMENSIONAL SCHRÖDINGER HAMILTONIAN PERTURBED BY AN ATTRACTIVE GAUSSIAN POTENTIAL
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2017)We propose a new approach to the problem of finding the eigenvalues (energy levels) in the discrete spectrum of the one-dimensional Hamiltonian with an attractive Gaussian potential by using the well-known Birman-Schwinger ... -
SIMPLE MODELS OF THREE COUPLED PT -SYMMETRIC WAVE GUIDES ALLOWING FOR THIRD-ORDER EXCEPTIONAL POINTS
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2017)We study theoretical models of three coupled wave guides with a PT-symmetric distribution of gain and loss. A realistic matrix model is developed in terms of a three-mode expansion. By comparing with a previously postulated ... -
ON SELF-SIMILARITIES OF CUT-AND-PROJECT SETS
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2017)Among the commonly used mathematical models of quasicrystals are Delone sets constructed using a cut-and-project scheme, the so-called cut-and-project sets. A cut-and-project scheme (L,π1, π2) is given by a lattice L in Rs ...
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