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Wyświetlanie 1-3 z 3
Tytuł:
Constructive Consistent Approximations in Pairwise Comparisons
Autorzy:
Smarzewski, Ryszard
Kozera, Ryszard
Powiązania:
https://bibliotekanauki.pl/articles/2201835.pdf
Data publikacji:
2022
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
cryptography
computer science
applied mathematics
Opis:
In this paper we investigate groups which admit the existence of weighted consistent approximations for pairwise comparisons matrices. These approximations are defined by extending the classical matrix projection for R_{+} to abstract weighted projections on the non-linear sets of transitive group-valued matrices. It is of interest that all of them are represented by general explicit formulae dependent on an abstract logarithmic function. This general approach is applied to the groups Z^{∗}_{p} and F^{∗}_{2m} which are of fundamental importance in in cryptography. Finally, we use our unified mathematical model of pairwise comparisons for continuous one-parameter unitary groups, which play a fundamental role in physics.
Źródło:
Advances in Science and Technology. Research Journal; 2022, 16, 4; 243--255
2299-8624
Pojawia się w:
Advances in Science and Technology. Research Journal
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Review of the book by Piotr Krzyżanowski: ,,Scientific and Engineering Computations - Fast, Reliable and Effective''
Autorzy:
Kozera, Ryszard
Okulicka-Dłużewska, Felicja
Smoktunowicz, Alicja
Powiązania:
https://bibliotekanauki.pl/articles/748775.pdf
Data publikacji:
2013
Wydawca:
Polskie Towarzystwo Matematyczne
Opis:
Scientific computation is at present one of the most efficient approaches available to researchers and developers for applied mathematics, technical, economical and natural sciences. This book provides practical guidance on how to perform numerical computer simulations using advanced computational and visualization software tools, and the book in particular caters for nonspecialists in this area seeking to utilize such approaches in their work. The book leads the reader step by step through different types of realization of computational tasks, with an increasing degree of depth. Initially MATLAB and Octave software packages are covered, followed by numerical libraries (for example BLAS and LAPACK), methods for optimizing the numerical programs in C and finally visualization packages. Catering for different levels of expertise and covering the most important tools, the book allows the reader to select and learn approaches suitable for their situation and computational task. Throughout there is a rich variety of well selected examples, exercises, source codes, pictures, diagrams and tables collating the experimental results. For example, the reader is familiarized with some numerical applications of solving ordinary and partial differential equations (ODEs or PDEs). In section 7.9.2 the equation of the van der Pola, which appears in the analysis of simple electrical circuits, is discussed. The programming script solving the equation in question is given and important pertinent details are given. Difficulties with the stability of the solution for ODE is on the other hand discussed for the specific Lorentz equation in the following section, 7.9.3., and likewise the pertinent programming script solving the Lorentz system is provided. Then in section 7.10 some numerical examples for solving PDEs are discussed. Theclassical equation of diffusion over a rectangle is here considered. All important issues related to discretization and the corresponding numerical schemes are covered for this particular type of equation.In summary, this book is particularly recommended to the nonspecialists, as it offers an attractive and soft entrance into the delicate matter of complicated scientific computation. The examples presented in the book are chosen carefully, and theexercises are stimulating, and help the reader gather the author’s expertise. This book should make resolution of computational problems both easier and enjoyable.
Scientific computation is at present one of the most efficient approaches available to researchers and developers for applied mathematics, technical, economical and natural sciences. This book provides practical guidance on how to perform numerical computer simulations using advanced computational and visualization software tools, and the book in particular caters for nonspecialists in this area seeking to utilize such approaches in their work. The book leads the reader step by step through different types of realization of computational tasks, with an increasing degree of depth. Initially MATLAB and Octave software packages are covered, followed by numerical libraries (for example BLAS and LAPACK), methods for optimizing the numerical programs in C and finally visualization packages. Catering for different levels of expertise and covering the most important tools, the book allows the reader to select and learn approaches suitable for their situation and computational task. Throughout there is a rich variety of well selected examples, exercises, source codes, pictures, diagrams and tables collating the experimental results. For example, the reader is familiarized with some numerical applications of solving ordinary and partial differential equations (ODEs or PDEs). In section 7.9.2 the equation of the van der Pola, which appears in the analysis of simple electrical circuits, is discussed. The programming script solving the equation in question is given and important pertinent details are given. Difficulties with the stability of the solution for ODE is on the other hand discussed for the specific Lorentz equation in the following section, 7.9.3., and likewise the pertinent programming script solving the Lorentz system is provided. Then in section 7.10 some numerical examples for solving PDEs are discussed. Theclassical equation of diffusion over a rectangle is here considered. All important issues related to discretization and the corresponding numerical schemes are covered for this particular type of equation.In summary, this book is particularly recommended to the nonspecialists, as it offers an attractive and soft entrance into the delicate matter of complicated scientific computation. The examples presented in the book are chosen carefully, and theexercises are stimulating, and help the reader gather the author’s expertise. This book should make resolution of computational problems both easier and enjoyable.
Źródło:
Mathematica Applicanda; 2013, 41, 1
1730-2668
2299-4009
Pojawia się w:
Mathematica Applicanda
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
ON THE CHOICE OF SYNTHETIC MEASURES FOR ASSESSING ECONOMIC EFFECTS
Autorzy:
Binderman, Zbigniew
Bolesław, Borkowski
Koszela, Grzegorz
Kozera, Ryszard
Szczesny, Wiesław
Powiązania:
https://bibliotekanauki.pl/articles/453525.pdf
Data publikacji:
2017
Wydawca:
Szkoła Główna Gospodarstwa Wiejskiego w Warszawie. Katedra Ekonometrii i Statystyki
Tematy:
multidimensional analysis
synthetic measure
ranking methods
Opis:
Multidimensional analysis uses various measures for assessing economic effects. However, no single synthetic measure, regardless how popular, can give a satisfactory solution to the above problem. In general, various approaches of combining measures can lead to stable outcomes. Nevertheless, when combining "weak" classifiers one can obtain inevitably poorer classification. We propose here a new approach to construct doubly synthetic measures. The main goal of this work is to analyse the influence these new synthetic measures on the ranking of multidimensional objects.
Źródło:
Metody Ilościowe w Badaniach Ekonomicznych; 2017, 18, 1; 7-17
2082-792X
Pojawia się w:
Metody Ilościowe w Badaniach Ekonomicznych
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-3 z 3

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