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Wyszukujesz frazę "algebraic analysis" wg kryterium: Temat


Wyświetlanie 1-10 z 10
Tytuł:
Two centuries of the term "algebraic analysis"
Autorzy:
Przeworska-Rolewicz, Danuta
Powiązania:
https://bibliotekanauki.pl/articles/1207439.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
algebraic analysis
right invertible operator
operational calculus
Opis:
The term "Algebraic Analysis" in the last two decades is used in two completely different senses. It seems that at least one is far away from its historical roots. Thus, in order to explain this misunderstanding, the history of this term from its origins is recalled.
Źródło:
Banach Center Publications; 2000, 53, 1; 47-70
0137-6934
Pojawia się w:
Banach Center Publications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some remarks on aplications of algebraic analysis to economics
Autorzy:
Binderman, Zbigniew
Wierzbicki, Marek
Powiązania:
https://bibliotekanauki.pl/articles/453736.pdf
Data publikacji:
2011
Wydawca:
Szkoła Główna Gospodarstwa Wiejskiego w Warszawie. Katedra Ekonometrii i Statystyki
Tematy:
algebraic analysis
right invertible operator
difference operator
quotations of Stock Exchange
Jacobian matrix
Opis:
In this paper, the author continues the investigations started in his earlier work [Binderman 2009]. Here, problems of linear equation Dx=y with the difference operator D are studied. The work is an introduction to applications of the theory of right invertible operators to economics. As an example, quotations of KGHM on Warsaw Stock Exchange are considered.
Źródło:
Metody Ilościowe w Badaniach Ekonomicznych; 2011, 12, 1; 15-26
2082-792X
Pojawia się w:
Metody Ilościowe w Badaniach Ekonomicznych
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Non-Leibniz algebras with logarithms do not have the trigonometric identity
Autorzy:
Przeworska-Rolewicz, D.
Powiązania:
https://bibliotekanauki.pl/articles/1207627.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
sine mapping
algebra with unit
algebraic analysis
logarithmic mapping
Leibniz condition
cosine mapping
Opis:
Let X be a Leibniz algebra with unit e, i.e. an algebra with a right invertible linear operator D satisfying the Leibniz condition: D(xy) = xDy + (Dx)y for x,y belonging to the domain of D. If logarithmic mappings exist in X, then cosine and sine elements C(x) and S(x) defined by means of antilogarithmic mappings satisfy the Trigonometric Identity, i.e. $[C(x)]^2 + [S(x)]^2 = e$ whenever x belongs to the domain of these mappings. The following question arises: Do there exist non-Leibniz algebras with logarithms such that the Trigonometric Identity is satisfied? We shall show that in non-Leibniz algebras with logarithms the Trigonometric Identity does not exist. This means that the above question has a negative answer, i.e. the Leibniz condition in algebras with logarithms is a necessary and sufficient condition for the Trigonometric Identity to hold.
Źródło:
Banach Center Publications; 2000, 53, 1; 177-189
0137-6934
Pojawia się w:
Banach Center Publications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A Functorial Approach to the Behaviour of Multidimensional Control Systems
Autorzy:
Pommaret, J. F.
Quadrat, A.
Powiązania:
https://bibliotekanauki.pl/articles/908250.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
automatyka
robotyka
multidimensional systems
weak primeness
controllability
algebraic analysis
torsion and extension functors
rings of differential operators
Opis:
We show how to use the extension and torsion functors in order to compute the torsion submodule of a differential module associated with a multidimensional control system. In particular, we show that the concept of the weak primeness of matrices corresponds to the torsion-freeness of a certain module.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2003, 13, 1; 7-13
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An algebraic analysis approach to 2-D discrete problems
Autorzy:
Przeworska-Rolewicz, D.
Wysocki, H.
Powiązania:
https://bibliotekanauki.pl/articles/206798.pdf
Data publikacji:
2001
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
analiza algebraiczna
operator początkowy
operator różnicowy
2D systems
algebraic analysis
backward shift
difference operator
forward shift
initial operator
right inverse
right invertible operator
Opis:
A model of algebraic analysis for the 2-index sequences (of the type 2-D) is considered. For difference operators of the form D{x_m,n}:= {x_m+1,n+1 - A_m,nX_m,n} the right inverses and the corresponding initial operators are constructed. Having already known the initial operators, one can determine solutions of the corresponding initial value problems.
Źródło:
Control and Cybernetics; 2001, 30, 2; 149-158
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fourier-like methods for equations with separable variables
Autorzy:
Przeworska-Rolewicz, Danuta
Powiązania:
https://bibliotekanauki.pl/articles/729392.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
algebraic analysis
commutative algebra with unit
Leibniz condition
logarithmic mapping
antilogarithmic mapping
right invertible operator
sine mapping
cosine mapping
initial value problem
boundary value problem
Fourier method
Opis:
It is well known that a power of a right invertible operator is again right invertible, as well as a polynomial in a right invertible operator under appropriate assumptions. However, a linear combination of right invertible operators (in particular, their sum and/or difference) in general is not right invertible. It will be shown how to solve equations with linear combinations of right invertible operators in commutative algebras using properties of logarithmic and antilogarithmic mappings. The used method is, in a sense, a kind of the variables separation method. We shall obtain also an analogue of the classical Fourier method for partial differential equations. Note that the results concerning the Fourier method are proved under weaker assumptions than these obtained in [6] (cf. also [7, 8, 11]).
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2009, 29, 1; 19-42
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Single-Frame Attitude Determination Methods for Nanosatellites
Autorzy:
Cilden Guler, D.
Conguroglu, E. S.
Hajiyev, C.
Powiązania:
https://bibliotekanauki.pl/articles/221643.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
attitude determination
single-frame methods
algebraic method
covariance analysis
vector observation
Opis:
Single-frame methods of determining the attitude of a nanosatellite are compared in this study. The methods selected for comparison are: Single Value Decomposition (SVD), q method, Quaternion ESTimator (QUEST), Fast Optimal Attitude Matrix (FOAM) − all solving optimally the Wahba’s problem, and the algebraic method using only two vector measurements. For proper comparison, two sensors are chosen for the vector observations on-board: magnetometer and Sun sensors. Covariance results obtained as a result of using those methods have a critical importance for a non-traditional attitude estimation approach; therefore, the variance calculations are also presented. The examined methods are compared with respect to their root mean square (RMS) error and variance results. Also, some recommendations are given.
Źródło:
Metrology and Measurement Systems; 2017, 24, 2; 313-324
0860-8229
Pojawia się w:
Metrology and Measurement Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Operation valuation of volumetric compressors by means of dimensional analysis
Autorzy:
Rosłanowski, J.
Charchalis, A.
Powiązania:
https://bibliotekanauki.pl/articles/244479.pdf
Data publikacji:
2014
Wydawca:
Instytut Techniczny Wojsk Lotniczych
Tematy:
operation of volumetric compressor
algebraic diagram
dimensional analysis physical dimension quantity
Joul multiplied second
Opis:
The following article introduces determination method of displacement compressors basing on its work parameters, by means of dimensional analysis. Operation of displacement compressors as volumetric compressing devices, according to J. Girtler, has been treated as a new physical quantity of [J·s] dimension. Such operation can be interpreted as mechanical energy transfer, through working organ, to gas factor volume in working space of the compressor in a definite time. Operation of volumetric compressor in which energy transfer, takes place, can be an information carrier of its technical condition. It expresses transformation of energy delivered to the gas, being forced through, by the compressor. This quantity can be determined, on the basis of, algebraic diagram of dimensional analysis, constructed by S. Drobot. The above diagram allowed us to control correctness of inference rules, in relation to mathematics, used in numerical functions of volumetric compressors operation, fitted in installations. Constructional solutions of compressors depend on the kind of compressed factor, the way of cooling, size of compressor and on the kind of propulsion and destination of compressor.
Źródło:
Journal of KONES; 2014, 21, 1; 233-240
1231-4005
2354-0133
Pojawia się w:
Journal of KONES
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A data association model for analysis of crowd structure
Autorzy:
Zitouni, M. Sami
Śluzek, Andrzej
Powiązania:
https://bibliotekanauki.pl/articles/2055152.pdf
Data publikacji:
2022
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
data association
visual surveillance
crowd analysis
algebraic model
powiązanie danych
nadzór wizyjny
analiza tłumu
tryb algebraiczny
Opis:
The paper discusses a non-deterministic model for data association tasks in visual surveillance of crowds. Using detection and tracking of crowd components (i.e., individuals and groups) as baseline tools, we propose a simple algebraic framework for maintaining data association (continuity of labels assigned to crowd components) between subsequent video-frames in spite of possible disruptions and inaccuracies in tracking/detection algorithms. Formally, two alternative schemes (which, in practice, can be jointly used) are introduced, depending on whether individuals or groups can be prospectively better tracked in the current scenario. In the first scheme, only individuals are tracked, and the continuity of group labels is inferred without explicitly tracking the groups. In the second scheme, only group tracking is performed, and associations between individuals are inferred from group tracking. The associations are built upon non-deterministic estimates of memberships (individuals in groups) and estimates obtained directly from the baseline detection and tracking algorithms. The framework can incorporate any detectors and trackers (both classical or DL-based) as long as they can provide some geometric outlines (e.g., bounding boxes) of the crowd components. The formal analysis is supported by experiments in sample scenarios, where the framework provides meaningful performance improvements in various crowd analysis tasks.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2022, 32, 1; 81--94
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-10 z 10

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