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    Wyświetlanie 1-11 z 11
    Tytuł:
    Efficient Calculation of the Reed-Muller Form by Means of the Walsh Transform
    Autorzy:
    Porwik, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/908505.pdf
    Data publikacji:
    2002
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    informatyka
    Reed-Muller coefficients
    Walsh coefficients
    coefficient distribution
    Boolean function
    synthesis of Boolean functions
    Opis:
    The paper describes a spectral method for combinational logic synthesis using the Walsh transform and the Reed-Muller form. A new algorithm is presented that allows us to obtain the mixed polarity Reed-Muller expansion of Boolean functions. The most popular minimisation (sub-minimisation) criterion of the Reed-Muller form is obtained by the exhaustive search of all the polarity vectors. This paper presents a non-exhaustive method for Reed-Muller expansions. The new method allows us to build the Reed-Muller form based on the analysis of Walsh-Hadamard coefficients. The presented method has much less complexity than the procedures which have been applied until now. Both the transforms and the presented Walsh-Hadamard spectral characterization of the Reed-Muller expansion are compared. An analysis of the properties of the spectra obtained from these transforms is made.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2002, 12, 4; 571-579
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Application of multi-valued weighting logical functions in the analysis of a degree of importance of construction parameters on the example of hydraulic valves
    Autorzy:
    Deptuła, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/955221.pdf
    Data publikacji:
    2014
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    pompa
    zawór hydrauliczny
    optymalizacja
    optimization process
    weighting logical coefficients
    hydraulic valves
    pomps
    Opis:
    In the optimization process, changes in the construction parameters value influence the behaviour of functions depending on time. Weighting logical coefficients for the stabilisation time are taken into consideration here, i.e., a shorter (better) stabilisation time has a more important (bigger) value of the weighting coefficient. An example of applying weighting logical functions in the analysis of a degree of importance of construction parameters of a hydraulic valve is presented in the paper.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2014, 19, 3; 539-548
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The Spectral Test of the Boolean Function Linearity
    Autorzy:
    Porwik, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/908085.pdf
    Data publikacji:
    2003
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    informatyka
    Walsh coefficients
    coefficient distribution
    Boolean function
    bent functions
    linearity measure of a Boolean function
    Opis:
    The paper discusses the problem of recognizing the Boolean function linearity. A spectral method of the analysis of Boolean functions using the Walsh transform is described. Linearity and nonlinearity play important roles in the design of digital circuits. The analysis of the distribution of spectral coefficients allows us to determine various combinatorial properties of Boolean functions, such as redundancy, monotonicity, self-duality, correcting capability, etc., which seems more difficult be performed by means of other methods. In particular, the basic synthesis method described in the paper allows us to compute the spectral coefficients in an iterative manner. The method can be easily used in investigations of large Boolean functions (of many variables), which seems very attractive for modern digital technologies. Experimental results demonstrate the efficiency of the approach.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2003, 13, 4; 567-575
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Fast convergence of the Coiflet-Galerkin method for general elliptic BVPs
    Autorzy:
    Akbari, H.
    Powiązania:
    https://bibliotekanauki.pl/articles/330950.pdf
    Data publikacji:
    2013
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    general stationary elliptic BVPs
    Robin boundary condition
    orthogonal Coifman wavelets
    trivariate connection coefficients
    fast convergence
    Opis:
    We consider a general elliptic Robin boundary value problem. Using orthogonal Coifman wavelets (Coiflets) as basis functions in the Galerkin method, we prove that the rate of convergence of an approximate solution to the exact one is O(2-nN) in the H1 norm, where n is the level of approximation and N is the Coiflet degree. The Galerkin method needs to evaluate a lot of complicated integrals. We present a structured approach for fast and effective evaluation of these integrals via trivariate connection coefficients. Due to the fast convergence rate, very good approximations are found at low levels and with low Coiflet degrees, hence the size of corresponding linear systems is small. Numerical experiments confirm these claims.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2013, 23, 1; 17-27
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Dedicated spectral method of Boolean function decomposition
    Autorzy:
    Porwik, P.
    Stanković, R. S.
    Powiązania:
    https://bibliotekanauki.pl/articles/908408.pdf
    Data publikacji:
    2006
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    funkcja boolowska
    dekompozycja rozłączna
    spektrum Walsha
    współczynnik autokorelacji
    Boolean function
    Walsh spectrum
    autocorrelation coefficients
    disjoint decomposition
    Opis:
    Spectral methods constitute a useful tool in the analysis and synthesis of Boolean functions, especially in cases when other methods reduce to brute-force search procedures. There is renewed interest in the application of spectral methods in this area, which extends also to the closely connected concept of the autocorrelation function, for which spectral methods provide fast calculation algorithms. This paper discusses the problem of spectral decomposition of Boolean functions using the Walsh transform and autocorrelation characteristics.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2006, 16, 2; 271-278
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Iterative estimators of parameters in linear models with partially variant coefficients
    Autorzy:
    Hu, S.
    Meinke, K.
    Chen, R.
    Huajiang, O.
    Powiązania:
    https://bibliotekanauki.pl/articles/929607.pdf
    Data publikacji:
    2007
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    model liniowy
    estymacja parametrów
    algorytm iteracyjny
    współczynnik zmienności
    linear model
    parameter estimation
    iterative algorithms
    variant coefficients
    Opis:
    A new kind of linear model with partially variant coefficients is proposed and a series of iterative algorithms are introduced and verified. The new generalized linear model includes the ordinary linear regression model as a special case. The iterative algorithms efficiently overcome some difficulties in computation with multidimensional inputs and incessantly appending parameters. An important application is described at the end of this article, which shows that this new model is reasonable and applicable in practical fields.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2007, 17, 2; 179-187
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Oblique water wave diffraction by a step
    Autorzy:
    Dolai, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/264885.pdf
    Data publikacji:
    2017
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    finite step
    Havelock expansion
    Galerkin approximation
    Gegenbauer polynomial
    reflection and transmission coefficients
    aproksymacja Galerkina
    wielomian Gegenbauera
    odbicie
    Opis:
    This paper is concerned with the problem of diffraction of an obliquely incident surface water wave train on an obstacle in the form of a finite step. Havelock expansions of water wave potentials are used in the mathematical analysis to obtain the physical parameters reflection and transmission coefficients in terms of integrals. Appropriate multi-term Galerkin approximations involving ultraspherical Gegenbauer polynomials are utilized to obtain a very accurate numerical estimate for reflection and transmission coefficients which are depicted graphically. From these figures various interesting results are discussed.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2017, 22, 1; 35-47
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Scattering of oblique water waves by an infinite step
    Autorzy:
    Dolai, P.
    Dolai, D. P.
    Powiązania:
    https://bibliotekanauki.pl/articles/265749.pdf
    Data publikacji:
    2018
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    aproksymacja Galerkina
    wielomian Gegenbauera
    współczynnik transmisji
    infinite step
    Havelock expansion
    Galerkin approximation
    Gegenbauer polynomial
    reflection and transmission coefficients
    Opis:
    The present paper is concerned with the problem of scattering of obliquely incident surface water wave train passing over a step bottom between the regions of finite and infinite depth. Havelock expansions of water wave potentials are used in the mathematical analysis to obtain the physical parameters reflection and transmission coefficients in terms of integrals. Appropriate multi-term Galerkin approximations involving ultra spherical Gegenbauer polynomials are utilized to obtain very accurate numerical estimates for reflection and transmission coefficients. The numerical results are illustrated in tables.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2018, 23, 2; 327-338
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Response of corrugated interface on incident qSV-wave in monoclinic elastic half-spaces
    Autorzy:
    Singh, S. S.
    Lalvohbika, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/264383.pdf
    Data publikacji:
    2018
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    współczynnik odbicia
    współczynnik transmisji
    prędkość fazowa
    qSV and qP-waves
    reflection and transmission coefficients
    monoclinic medium
    corrugated interface
    phase velocity
    Opis:
    This paper is concerned with the problem of reflection and transmission of elastic waves due to an incident plane qSV-wave at a corrugated interface between two dissimilar monoclinic elastic half-spaces. Due to the corrugated nature of the interface, there exist regularly and irregularly reflected and transmitted elastic waves. Using Rayleigh’s method of approximation, the reflection and transmission coefficients of regular and irregular waves are obtained for the first order of approximation. We have found that these coefficients are functions of the angle of incidence, elastic constants, corrugation and the frequency parameter. These coefficients are obtained for a special type of interface, z =dcos py. We have computed these coefficients for a particular model and discussed the effects of corrugation and frequency parameter.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2018, 23, 3; 727-750
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Water wave scattering by an infinite step in the presence of an ice-cover
    Autorzy:
    Ray, S.
    De, S.
    Mandal, B. N.
    Powiązania:
    https://bibliotekanauki.pl/articles/265982.pdf
    Data publikacji:
    2019
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    fala wodna
    pokrywa lodowa
    aproksymacja Galerkina
    water wave scattering
    ice cover
    infinite step
    integral equation
    Galerkin approximation
    reflection and transmission coefficients
    Opis:
    The classical problem of water wave scattering by an infinite step in deep water with a free surface is extended here with an ice-cover modelled as a thin uniform elastic plate. The step exists between regions of finie and infinite depths and waves are incident either from the infinite or from the finite depth water region. Each problem is reduced to an integral equation involving the horizontal component of velocity across the cut above the step. The integral equation is solved numerically using the Galerkin approximation in terms of simple polynomial multiplied by an appropriate weight function whose form is dictated by the behaviour of the fluid velocity near the edge of the step. The reflection and transmission coefficients are obtained approximately and their numerical estimates are seen to satisfy the energy identity. These are also depicted graphically against thenon-dimensional frequency parameter for various ice-cover parameters in a number of figures. In the absencje of ice-cover, the results for the free surface are recovered.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2019, 24, 4; 157-168
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Time-optimal control of linear fractional systems with variable coefficients
    Autorzy:
    Matychyn, Ivan
    Onyshchenko, Viktoriia
    Powiązania:
    https://bibliotekanauki.pl/articles/2055161.pdf
    Data publikacji:
    2021
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    fractional calculus
    Riemann-Liouville derivative
    variable coefficients
    optimal control
    rachunek ułamkowy
    pochodna ułamkowa Riemanna-Liouville'a
    współczynnik zmienny
    sterowanie optymalne
    Opis:
    Linear systems described by fractional differential equations (FDEs) with variable coefficients involving Riemann–Liouville and Caputo derivatives are examined in the paper. For these systems, a solution of the initial-value problem is derived in terms of the generalized Peano–Baker series and a time-optimal control problem is formulated. The optimal control problem is treated from the convex-analytical viewpoint. Necessary and sufficient conditions for time-optimal control similar to that of Pontryagin’s maximum principle are obtained. Theoretical results are supported by examples.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2021, 31, 3; 375--386
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-11 z 11

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