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The head question is answered in a single-valued manner on a basis provided by this authors thinking scheme: it turns out that only four massive leptons accompanied by four massless neutrinos are allowed. Among the allowed set of leptons heavy electron has been found, appending known three: electron, muon and tauon, so far, not admitted by physicists community.
Fractal image compression is a promising brand new compression method. In the paper several algorithms are compared. A majority of those algorithms accelerate the encoding process by reduction of the size of the domain pool. I show in the paper that unlike assumed in many algorithms, the optimal domain block need not be located in the close neighborhood of the range block. I suggest two techniques...
The classical Gersgorin's theorem is extended for regular pencils and stable Roesser models. The extension for regular pencils is based on application of the elementary row and column operations to polynominal matrix of the regular pencil. The extended Gersgorin's theorem for regular pencils is illustrated by an example.
The problem of detection and elimination of impulsive disturbances from ARMA signals is considered and a new low-complexity variable-order recursive algorithm is proposed for its solution.
The paper is concerned with a new time and memory efficient representation of a disjunctive graph. The disjunctive graph is a popular model used for describing instances of the job shop scheduling problem. The proposed data structure has the form of a graph matrix and combines advantages of a few classical graph representations.
In this paper, a new class of intelligent analog-digital systems for the measurement of mechanical quantities, such as acceleration, displacement, mass size, pressure and others, is considered. The basic feature of these systems is that they employ sensors with parameters adjusted adaptively to the statistics of measured processes and disturbances. The problems of practical realization of such systems...
The article presents physical basics of human speech production. There are considered the most fundamental phonemes-vowels. Acoustic properties of vowels are extracted. It is observed that the most important are positions and shapes of first two formants. The rest of the spectral attributes of vowels, exception is voiced excitation, can be canelled. Vowels are still recognized by human. In the article...
Scattering parameters for nonuniform lossy transmission line, directly in time-domain, has been derived. The parameters have the form of infinite fast convergent series. Only a few terms of that series are needed to obtain sufficient exactness and the number of terms is controlled. Some examples of simulation are presented.
In this paper, non-standard 2D state space models of the Roesser type and their equivalence under similarity and elementary operations are discussed. Non-standard models cover a wider repertory of systems than traditional ones of both theoretical and practical importance.
In a paper written in 1932 Wigner presented an expression which nowadays is called the Wigner distribution. However, Wigner himself informed that it has been found in cooperation with L.Szilard. Therefore, let us use the name Szilard-Wigner distribution (SWD). In Wigner's notation the SWD is a 2n-D function P(x,p), where x are the n-D coordinates of the wave function [formula] and p are the coordinates...
Basing on the results published in the earlier papers by the author, an extension of the Irvin criterion for the case of conducting crack, propagating in elastic dielectric influenced by strong electromagnetic field is derived. The criterion includes beside the mechanical stress intensity coefficients, which appear in the purely mechanical case, the electromagnetic stress intensity coefficients and...
Linear-quadratic optimal control problem for 2-D continuous-discrete systems is considered. The developed method is based on the entire functions theory. The problem under consideration is reduced to extremal one in Hilbert space of mentioned functions. The obtained optimality conditions are expressed in terms of solutions to adjoint system. With a few optimization theory some properties of Winner-Paley...
In the present paper local constrained controllability problems for nonlinear discrete 2D system with constant coefficients and constrained controls are formulated and discussed. Using some mapping theorems taken from functional analysis and linear approximation methods sufficient conditions for constrained controllability are derived and proved. The present paper extends in some previous results...
A new extended Roesser type model is introduced. It is shown that: 1. Any singular 2D general model (1) with [formula] can be reduced to the model (6) or (6'), 2. Regular singular 2D model (9) can be reduced to standard extended Roesser type model (11) if its pencil is regular. Sufficient conditions are established under which a singular 2D general model (1) can be reduced to standard models of the...
In this paper the behaviour of BIBO-stable discrete-time systems is investigated. A complete characterization of all discrete-time LTI-systems of convolution type is given in the paper. The result is a generalization of results given by S.Boyd and I.Sandberg.
In this paper a structural method for 3D object modelling and representation is presented. The process of construction of 3D objects is realized by modelling 2D-patterns and extruding them by means of the defind operations: traditional, rotational and generalized extrusion (sweeping) operations. Modelling of 2D-patterns is performed by grouping primitives into 2D features. All the presented extrusion...
The aim of this contribution is to derive the membrane model of geometrically non-linear elastic plates from the three-dimensional theory of a thin anisotropic body.
A new nD Roesser model with extended inputs is introduced. nD Roesser models with square matrices and extended inputs equivalent to the singular nD Fornasini-Marchesini models and nD Fornasini-Marchesini models with square matrices equivalent to the singular nD Roesser models are derived. A formula determination the solution of standard 2D Roesser model with extended inputs is also derived.
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