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Tytuł:
A Sharp Lower Bound For The Generalized 3-Edge-Connectivity Of Strong Product Graphs
Autorzy:
Sun, Yuefang
Powiązania:
https://bibliotekanauki.pl/articles/31341589.pdf
Data publikacji:
2017-11-27
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
generalized connectivity
generalized edge-connectivity
strong product
Opis:
The generalized $k$-connectivity $ \kappa_k (G) $ of a graph $G$, mentioned by Hager in 1985, is a natural generalization of the path-version of the classical connectivity. As a natural counterpart of this concept, Li et al. in 2011 introduced the concept of generalized $k$-edge-connectivity which is defined as $ \lambda_k (G) = \text{min} \{ \lambda_G (S) | S \subseteq V (G) $ and $ |S| = k \} $, where $ \lambda_G (S) $ denote the maximum number $ \mathcal{l} $ of pairwise edge-disjoint trees $ T_1 $, $ T_2 $, . . ., $ T_\mathcal{l} $ in $G$ such that $S \subseteq V (T_i)$ for $ 1 \le i \le \mathcal{l} $. In this paper we get a sharp lower bound for the generalized 3-edge-connectivity of the strong product of any two connected graphs.
Źródło:
Discussiones Mathematicae Graph Theory; 2017, 37, 4; 975-988
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On a visualization of the convergence of the boundary of generalized Mandelbrot set to (n-1)-sphere
Autorzy:
Katunin, A.
Fedio, K.
Powiązania:
https://bibliotekanauki.pl/articles/122318.pdf
Data publikacji:
2015
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
generalized Mandelbrot set
fractals
convergence
generalized sphere
Opis:
In this article we analyze the generalized Mandelbrot set in higher-order hypercomplex number spaces following both the Cayley-Dickson construction algebraic spaces and the spaces defined by Clifford algebras. The particular case of the generalized 3D quasi-Mandelbrot set was also considered. In particular, we investigated the increase of power of the iterated variable and proved that when this power tends to infinity, the Mandelbrot set is convergent to the unit circle. The same is true for the generalized Mandelbrot sets in higher-dimensional hypercomplex number spaces, i.e. when the power of iterated variable tends to infinity, the generalized Mandelbrot set is convergent to the unit (n-1)- sphere. The results of our investigation were visualized for the generalized Mandelbrot set in a complex number space and the generalized quasi-Mandelbrot set in a 3D Euclidean space.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2015, 14, 1; 63-69
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Generalized F tests and selective generalized F tests for orthogonal and associated mixed models
Autorzy:
Nunes, Célia
Pinto, Iola
Mexia, João
Powiązania:
https://bibliotekanauki.pl/articles/729658.pdf
Data publikacji:
2008
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
selective generalized F tests
generalized polar coordinates
associated models
Opis:
The statistics of generalized F tests are quotients of linear combinations of independent chi-squares. Given a parameter, θ, for which we have a quadratic unbiased estimator, θ̃, the test statistic, for the hypothesis of nullity of that parameter, is the quotient of the positive part by the negative part of such estimator. Using generalized polar coordinates it is possible to obtain selective generalized F tests which are especially powerful for selected families of alternatives. We build both classes of tests for the orthogonal and associated mixed models. The associated models are obtained adding terms to the orthogonal models.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2008, 28, 2; 229-246
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Properties of the generalized nonlinear least squares method applied for fitting distribution to data
Autorzy:
Benšić, Mirta
Powiązania:
https://bibliotekanauki.pl/articles/729766.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
generalized least squares
distribution fitting
generalized method of moments
Opis:
We introduce and analyze a class of estimators for distribution parameters based on the relationship between the distribution function and the empirical distribution function. This class includes the nonlinear least squares estimator and the weighted nonlinear least squares estimator which has been used in parameter estimation for lifetime data (see e.g. [6, 8]) as well as the generalized nonlinear least squares estimator proposed in [3]. Sufficient conditions for consistency and asymptotic normality are given. Capability and limitations are illustrated by simulations.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2015, 35, 1-2; 75-94
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Variance components estimation in generalized orthogonal models
Autorzy:
Fernandes, Célia
Ramos, Paulo
Ferreira, Sandra
Mexia, João
Powiązania:
https://bibliotekanauki.pl/articles/729930.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
generalized orthogonal models
variance components
generalized cross nesting designs
Opis:
The model $y = ∑_{j=1}^w X_j β̲_j + e̲$ is generalized orthogonal if the orthogonal projection matrices on the range spaces of matrices $X_j$, j = 1, ..., w, commute. Unbiased estimators are obtained for the variance components of such models with cross-nesting.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2007, 27, 1-2; 99-115
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stronger bounds for generalized degrees and Menger path systems
Autorzy:
Faudree, R.
Tuza, Zs.
Powiązania:
https://bibliotekanauki.pl/articles/972047.pdf
Data publikacji:
1995
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
generalized degree
Menger
Opis:
For positive integers d and m, let $P_{d,m}(G)$ denote the property that between each pair of vertices of the graph G, there are m internally vertex disjoint paths of length at most d. For a positive integer t a graph G satisfies the minimum generalized degree condition δₜ(G) ≥ s if the cardinality of the union of the neighborhoods of each set of t vertices of G is at least s. Generalized degree conditions that ensure that $P_{d,m}(G)$ is satisfied have been investigated. In particular, it has been shown, for fixed positive integers t ≥ 5, d ≥ 5t², and m, that if an m-connected graph G of order n satisfies the generalized degree condition δₜ(G) > (t/(t+1))(5n/(d+2))+(m-1)d+3t², then for n sufficiently large G has property $P_{d,m}(G)$. In this note, this result will be improved by obtaining corresponding results on property $P_{d,m}(G)$ using a generalized degree condition δₜ(G), except that the restriction d ≥ 5t² will be replaced by the weaker restriction d ≥ max{5t+28,t+77}. Also, it will be shown, just as in the original result, that if the order of magnitude of δₜ(G) is decreased, then $P_{d,m}(G)$ will not, in general, hold; so the result is sharp in terms of the order of magnitude of δₜ(G).
Źródło:
Discussiones Mathematicae Graph Theory; 1995, 15, 2; 167-177
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Generalized Ostrowski type inequalities for functions whose local fractional derivatives are generalized s-convex in the second sense
Autorzy:
Budak, H.
Sarikaya, M. Z.
Set, E.
Powiązania:
https://bibliotekanauki.pl/articles/122303.pdf
Data publikacji:
2016
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
generalized Hermite-Hadamard inequality
generalized Hölder inequality
generalized convex functions
nierówność Höldera
wypukłość funkcji
nierówność Hermite-Hadamarda
Opis:
In this paper, we establish some generalized Ostrowski type inequalities for functions whose local fractional derivatives are generalized s-convex in the second sense.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 4; 11-21
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Quasidifferentiable Calculus and Minimal Pairs of Compact Convex Sets
Autorzy:
Pallaschke, Diethard
Urbański, Ryszard
Powiązania:
https://bibliotekanauki.pl/articles/1373556.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Jagielloński. Wydawnictwo Uniwersytetu Jagiellońskiego
Tematy:
nonsmooth optimization
generalized convexity
Opis:
The quasidifferential calculus developed by V.F. Demyanov and A.M. Rubinov provides a complete analogon to the classical calculus of differentiation for a wide class of nonsmooth functions. Although this looks at the first glance as a generalized subgradient calculus for pairs of subdifferentials it turns out that, after a more detailed analysis, the quasidifferential calculus is a kind of Fréchet-differentiation whose gradients are elements of a suitable Minkowski–Rådström–Hörmander space. One aim of the paper is to point out this fact. The main results in this direction are Theorem 1 and Theorem 5. Since the elements of the Minkowski–Rådström–Hörmander space are not uniquely determined, we focus our attention in the second part of the paper to smallest possible representations of quasidifferentials, i.e. to minimal representations. Here the main results are two necessary minimality criteria, which are stated in Theorem 9 and Theorem 11.
Źródło:
Schedae Informaticae; 2012, 21; 107-125
0860-0295
2083-8476
Pojawia się w:
Schedae Informaticae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Generalized weighted Besov spaces on the Gegenbauer hypergroup
Autorzy:
Ibrahimov, Elman J.
Powiązania:
https://bibliotekanauki.pl/articles/963587.pdf
Data publikacji:
2014
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
gegenbauer hypergroup
generalized gegenbauer shifts operators
besov spaces
generalized convolution
gegenbauer transformations
Opis:
In this paper we study generalized weighted Besov type spaces on the Gegenbauer hypergroup. We give different characterizations of these spaces in terms of generalized convolution with a kind of smooth functions and by means of generalized translation operators. Also a discrete norm is given to obtain more general properties on these spaces. Obtained results are analogies of the results for generalized Bessel shifts obtained in the work [5].
Źródło:
Commentationes Mathematicae; 2014, 54, 1
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Minimum Size of a Graph with Given Tree Connectivity
Autorzy:
Sun, Yuefang
Sheng, Bin
Jin, Zemin
Powiązania:
https://bibliotekanauki.pl/articles/32083875.pdf
Data publikacji:
2021-05-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
generalized connectivity
tree connectivity
eneralized k-connectivity
generalized k-edge-connectivity
packing
Opis:
For a graph $G = (V, E)$ and a set $S ⊆ V$ of at least two vertices, an $S$-tree is a such subgraph $T$ of $G$ that is a tree with $S ⊆ V(T)$. Two $S$-trees $T_1$ and $T_2$ are said to be internally disjoint if $E(T_1) ∩ E(T_2) = ∅$ and $V(T_1) ∩ V(T_2) = S$, and edge-disjoint if $E(T_1) ∩ E(T_2) = ∅$. The generalized local connectivity $κ_G(S)$ (generalized local edge-connectivity $λ_G(S)$, respectively) is the maximum number of internally disjoint (edge-disjoint, respectively) $S$-trees in $G$. For an integer $k$ with $2 ≤ k ≤ n$, the generalized $k$-connectivity (generalized $k$-edge-connectivity, respectively) is defined as $κ_k(G) = min{κ_G(S) | S ⊆ V(G), |S| = k} (λ_k(G) = min{λ_G(S) | S ⊆ V(G), |S| = k}$, respectively). Let $f(n, k, t)$ ($g(n, k, t)$, respectively) be the minimum size of a connected graph $G$ with order $n$ and $κ_k(G) = t$ ($λ_k(G) = t$, respectively), where $3 ≤ k ≤ n$ and \(1≤t≤n-⌈\frac{k}{2}⌉\). For general $k$ and $t$, Li and Mao obtained a lower bound for $g(n, k, t)$ which is tight for the case $k = 3$. We show that the bound also holds for $f(n, k, t)$ and is tight for the case $k = 3$. When t is general, we obtain upper bounds of both $f(n, k, t)$ and $g(n, k, t)$ for $k ∈ {3, 4, 5}$, and all of these bounds can be attained. When $k$ is general, we get an upper bound of $g(n, k, t)$ for $t ∈ {1, 2, 3, 4}$ and an upper bound of $f(n, k, t)$ for $t ∈ {1, 2, 3}$. Moreover, both bounds can be attained.
Źródło:
Discussiones Mathematicae Graph Theory; 2021, 41, 2; 409-425
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the Bayes estimators of the parameters of inflated modified power series distributions
Autorzy:
Murat, Małgorzata
Szynal, Dominik
Powiązania:
https://bibliotekanauki.pl/articles/729948.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
posterior distributions
posterior moments
Bayes estimator
inflated distribution
generalized Pareto distribution
generalized Poisson distribution
generalized negative binomial distribution
lost games distribution
Opis:
In this paper, we study the class of inflated modified power series distributions (IMPSD) where inflation occurs at any of support points. This class includes among others the generalized Poisson,the generalized negative binomial and the lost games distributions. We derive the Bayes estimators of parameters for these distributions when a parameter of inflation is known. First, we take as the prior distribution the uniform, Beta and Gamma distribution. In the second part of this paper, the prior distribution is the generalized Pareto distribution.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2000, 20, 2; 189-209
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Slicing of generalized surfaces with curvature measures and diameters estimate
Autorzy:
Delladio, Silvano
Powiązania:
https://bibliotekanauki.pl/articles/1310942.pdf
Data publikacji:
1996
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
generalized Gauss graphs
rectifiable currents
generalized curvatures
Meusnier theorem
Fenchel inequality
diameter estimate
Opis:
We prove generalizations of Meusnier's theorem and Fenchel's inequality for a class of generalized surfaces with curvature measures. Moreover, we apply them to obtain a diameter estimate.
Źródło:
Annales Polonici Mathematici; 1996, 64, 3; 267-283
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the Maximum and Minimum Sizes of a Graph with Given k-Connectivity
Autorzy:
Sun, Yuefang
Powiązania:
https://bibliotekanauki.pl/articles/31341709.pdf
Data publikacji:
2017-08-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
k -connectivity
generalized connectivity
connectivity
Opis:
The concept of k-connectivity κk(G), introduced by Chartrand in 1984, is a generalization of the cut-version of the classical connectivity. For an integer k ≥ 2, the k-connectivity of a connected graph G with order n ≥ k is the smallest number of vertices whose removal from G produces a graph with at least k components or a graph with fewer than k vertices. In this paper, we get a sharp upper bound for the size of G with κk(G) = t, where 1 ≤ t ≤ n − k and k ≥ 3; moreover, the unique extremal graph is given. Based on this result, we get the exact values for the maximum size, denoted by g(n, k, t), of a connected graph G with order n and κk(G) = t. We also compute the exact values and bounds for another parameter f(n, k, t) which is defined as the minimum size of a connected graph G with order n and κk(G) = t, where 1 ≤ t ≤ n − k and k ≥ 3.
Źródło:
Discussiones Mathematicae Graph Theory; 2017, 37, 3; 623-632
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Colouring game and generalized colouring game on graphs with cut-vertices
Autorzy:
Sidorowicz, Elżbieta
Powiązania:
https://bibliotekanauki.pl/articles/744059.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
colouring game
generalized colouring game
Opis:
For k ≥ 2 we define a class of graphs ₖ = {G: every block of G has at most k vertices}. The class ₖ contains among other graphs forests, Husimi trees, line graphs of forests, cactus graphs. We consider the colouring game and the generalized colouring game on graphs from ₖ.
Źródło:
Discussiones Mathematicae Graph Theory; 2010, 30, 3; 499-533
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Wykorzystanie uogólnionego rozkładu gamma do generowania tablicy dwudzielczej
Using the generalized gamma distribution to generate contingency tables
Autorzy:
Sulewski, Piotr
Powiązania:
https://bibliotekanauki.pl/articles/433910.pdf
Data publikacji:
2014
Wydawca:
Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu
Tematy:
generation of two-way tables
generalized gamma distribution
generalized gamma random value
exponential distribution
Opis:
The article is devoted to the generation of two-way table contents using the generalized gamma distribution (GG). It describes the generalized gamma random number generator and how to create a two-way table by means of the empirical distribution function and theoretical exponential distribution, which is a special case of GG.
Źródło:
Śląski Przegląd Statystyczny; 2014, 12(18); 339-348
1644-6739
Pojawia się w:
Śląski Przegląd Statystyczny
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Comparison between GPC and adaptive GPC based on Takagi Sugeno multi-model for an Activated Sludge Reactor
Autorzy:
Matoug, L.
Khadir, M. T.
Powiązania:
https://bibliotekanauki.pl/articles/206049.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
adaptive generalized predictive control
generalized predictive control
Takagi Sugeno
activated sludge reactor
activated sludge model
Opis:
This paper investigates the use of Adaptive Generalized Predictive Control (TS-AGPC) for an activated sludge reactor, based on a Takagi Sugeno (TS) model, and presents the comparison between the latter and Generalized Predictive Control using an overall TS model (TS-GPC). The reduced bio-reactor Activated Sludge ASM1 Model, which describes the biological degradation of an activated sludge reactor, is designed based on several simplifications, as a TS model, its structure being based on a set of linear submodels, covering the process input-output space, interpolated by a nonlinear weighting function µ. The adaptive GPC approach is obtained by switching between linear submodels of the TS formulation. This is performed by selecting, in turns, a portion of the weighting function µ. The winning model will then act as an internal model for the TS-AGPC control law formulation, whereas the complete TS model is used in the calculation of the TS-GPC control law. Finally, the performance under input and parametric disturbances as well as control variable constraints of the TS-AGPC controller are compared to those for a global TS-GPC controller and a benchmark PID in terms of error and response dynamics.
Źródło:
Control and Cybernetics; 2017, 46, 2; 147-176
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The combined effect of fractional filter and Smith Predictor for enhanced closed-loop performanceof integer order time-delay systems: some investigations
Autorzy:
Nagarsheth, Shaival Hemant
Sharma, Shambhu Nath
Powiązania:
https://bibliotekanauki.pl/articles/229571.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
generalized fractional controller
Smith predictor
time delay system
generalized inverse
Bode’s ideal transfer function
Opis:
This paper proposes a generalized fractional controller for integer order systems with time delay. The fractional controller structure is so adopted to have a combined effect of fractional filter and Smith predictor. Interestingly, the resulting novel controller can be decomposed into fractional filter cascaded with an integer order PID controller. The method is applied to two practical examples i.e. liquid level system and Shell control fractionator system. The closed-loop responses resulting from the proposed method are compared with that of the available methods in the literature. For quantitative evaluations of the proposed method, Integral Absolute Error (IAE) and Integral Square Control Input (ISCI) performance criteria are employed. The proposed method effectively enhances the closed-loop response by improving the IAE values, reducing the control effort inputs to achieve the desired output. The disturbance rejection and robustness tests are also carried out. The robustness test reveals a significant improvement in the maximum absolute sensitivity measure. That is displayed in numerical simulations of the paper.
Źródło:
Archives of Control Sciences; 2020, 30, 1; 47-76
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The impact of exchange rate volatility on the Nigerian economic growth: An empirical investigation
Autorzy:
Ehikioya, Benjamin Ighodalo
Powiązania:
https://bibliotekanauki.pl/articles/522328.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Ekonomiczny w Katowicach
Tematy:
Developing country
Economic growth
Exchange rate volatility
Generalized Autoregressive Conditional Heteroscedasticity
Generalized Method of Moments
Opis:
Aim/purpose – Exchange rate volatility has remained a serious issue affecting economic stability, especially in developing countries. Thus, this study aimed at examining the impact of exchange rate volatility on economic growth in Nigeria. Design/methodology/approach – The study employed the Generalized Autoregressive Conditional Heteroscedasticity (GARCH) model and the system Generalized Method of Moments (GMM) technique to analyse the time series data from the period January 1980 to December 2017. The study used the Augmented Dickey–Fuller and Philips–Perron tests to determine the presence of a unit root and the Johansen co-integration test to establish the relationship among the variables in the study. Findings – The results of the estimates offer evidence that exchange rate volatility persists throughout the study period, and has a negative and significant effect on the economic growth of Nigeria. This result suggests that excessive volatility due to low inflows is inimical to the growth of the Nigeria economy. The findings of the study demonstrate a negative and significant relationship between inflation and economic growth. Moreover, while credit to the private sector and crude oil prices exerts positive and significant relationship with growth, the relationship between money supply, trade openness and government expenditure and economic growth is positive but insignificant. Research implications/limitations – Therefore, it is important for the government to pursue policies and programs that would help ensure exchange rate stability and boost local production for both consumption and export. In addition, a holistic program of economic reforms is important to complement the exchange rate policy and stimulate economic growth. Originality/value/contribution – The study shed some light on exchange rate volatility and confirmed its adverse effect and the importance of a stable environment on economic growth. In addition, the study introduced crude oil prices as a variable to the study of exchange rate volatility and economic growth from a developing country perspective.
Źródło:
Journal of Economics and Management; 2019, 37; s. 45-68
1732-1948
Pojawia się w:
Journal of Economics and Management
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On Korenblum convex functions
Autorzy:
Lopez, Lorena Maria
Ereú, Jurancy
Merentes, Nelson
Powiązania:
https://bibliotekanauki.pl/articles/960142.pdf
Data publikacji:
2017
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Convex function
generalized convexity
k-entropy
Opis:
We introduce a new class of generalized convex functions called the κ-convex functions, based on Korenblum's concept of κ-decreasing functions, where κ is an entropy (distortion) function. We study continuity and differentiability properties of these functions, and we discuss a special subclass which is a counterpart of the class of so-called d.c. functions. We characterize this subclass in terms of the space of functions of bounded second κ-variation, extending a result of F. Riesz. We also present a formal structural decomposition result for the κ-convex functions.
Źródło:
Commentationes Mathematicae; 2017, 57, 1
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Necessary and sufficient conditions for generalized convexity
Autorzy:
Krzyszkowski, Janusz
Powiązania:
https://bibliotekanauki.pl/articles/1311583.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
generalized convexity
unrestricted n-parameter family
Opis:
We give some necessary and sufficient conditions for an n-1 times differentiable function to be a generalized convex function with respect to an unrestricted n-parameter family.
Źródło:
Annales Polonici Mathematici; 1995, 61, 1; 77-88
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Domination in functigraphs
Autorzy:
Eroh, Linda
Gera, Ralucca
Kang, Cong
Larson, Craig
Yi, Eunjeong
Powiązania:
https://bibliotekanauki.pl/articles/743330.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
domination
permutation graphs
generalized prisms
functigraphs
Opis:
Let G₁ and G₂ be disjoint copies of a graph G, and let f:V(G₁) → V(G₂) be a function. Then a functigraph C(G,f) = (V,E) has the vertex set V = V(G₁) ∪ V(G₂) and the edge set E = E(G₁) ∪ E(G₂) ∪ {uv | u ∈ V(G₁), v ∈ V(G₂),v = f(u)}. A functigraph is a generalization of a permutation graph (also known as a generalized prism) in the sense of Chartrand and Harary. In this paper, we study domination in functigraphs. Let γ(G) denote the domination number of G. It is readily seen that γ(G) ≤ γ(C(G,f)) ≤ 2 γ(G). We investigate for graphs generally, and for cycles in great detail, the functions which achieve the upper and lower bounds, as well as the realization of the intermediate values.
Źródło:
Discussiones Mathematicae Graph Theory; 2012, 32, 2; 299-319
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the almost periodicity of a generalized trigonometric polynomial
Autorzy:
Stoiński, Stanisław
Powiązania:
https://bibliotekanauki.pl/articles/745021.pdf
Data publikacji:
2013
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
almost periodic function, generalized trigonometric polynomial
Opis:
This paper presents some remarks on various types of the almost periodicity of a generalized trigonometric polynomial and of the inverse of a generalized trigonometric polynomial of constant sign.
Źródło:
Commentationes Mathematicae; 2013, 53, 2
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Hamilton Cycles in Double Generalized Petersen Graphs
Autorzy:
Sakamoto, Yutaro
Powiązania:
https://bibliotekanauki.pl/articles/31343695.pdf
Data publikacji:
2019-02-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
double generalized Petersen graph
Hamilton cycle
Opis:
Coxeter referred to generalizing the Petersen graph. Zhou and Feng modified the graphs and introduced the double generalized Petersen graphs (DGPGs). Kutnar and Petecki proved that DGPGs are Hamiltonian in special cases and conjectured that all DGPGs are Hamiltonian. In this paper, we prove the conjecture by constructing Hamilton cycles in any given DGPG.
Źródło:
Discussiones Mathematicae Graph Theory; 2019, 39, 1; 117-123
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Integrability of trigonometric series with generalized semi-convex coefficients
Autorzy:
Krasniqi, X. Z.
Powiązania:
https://bibliotekanauki.pl/articles/254833.pdf
Data publikacji:
2012
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
trigonometric series
generalized semi-convex sequences
Opis:
In this paper we deal with cosine and sine trigonometric series with generalized semi-convex coefficients. Integrability conditions for them are obtained.
Źródło:
Opuscula Mathematica; 2012, 32, 3; 521-528
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A scheme for congruence semidistributivity
Autorzy:
Chajda, Ivan
Horváth, Eszter
Powiązania:
https://bibliotekanauki.pl/articles/728970.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
∧ -semidistributivity
generalized semidistribitive law
triangular scheme
Opis:
A diagrammatic statement is developed for the generalized semidistributive law in case of single algebras assuming that their congruences are permutable. Without permutable congruences, a diagrammatic statement is developed for the ∧-semidistributive law.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2003, 23, 1; 13-18
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
All maximal completely regular submonoids of $Hyp_G(2)$
Autorzy:
Kunama, Pornpimol
Leeratanavalee, Sorasak
Powiązania:
https://bibliotekanauki.pl/articles/38119704.pdf
Data publikacji:
2017-06-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
generalized hypersubstitution
regular element
completely regular
Opis:
In this paper we consider mappings σ which map the binary operation symbol f to the term σ (f) which do not necessarily preserve the arity. These mapping are called generalized hypersubstitutions of type τ = (2) and we denote the set of all these generalized hypersubstitutions of type τ = (2) by HypG(2). The set HypG(2) together with a binary operation defined on this set and the identity generalized hypersubstitution which maps f to the term f(x1, x2) forms a monoid. In this paper, we determine all maximal completely regular submonoids of this monoid.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2017, 37, 1; 105-114
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
M-solid generalized non-deterministic varieties
Autorzy:
Lekkoksung, Somsak
Powiązania:
https://bibliotekanauki.pl/articles/728876.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
generalized non-deterministic hypersubstitution
conjugate pair of additive closure operators
M-solid generalized non-deterministic variety
Opis:
A generalized non-deterministic hypersubstitution is a mapping which maps operation symbols of type τ to the set of terms of the same type which does not necessarily preserve the arity. We apply the generalized non-deterministic hypersubstitution to an algebra of type τ and obtain a class of derived algebras of type τ. The generalized non-deterministic hypersubstitutions can be also applied to sets of equations of type τ. We obtain two closure operators which turn out to be a conjugate pair of completely additive closure operators. This allows us to apply the theory of conjugate pairs of additive closure operators to characterize M-solid generalized non-deterministic varieties of algebras.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2016, 36, 1; 25-43
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Moments of order statistics of the Generalized T Distribution
Autorzy:
Genç, Ali
Powiązania:
https://bibliotekanauki.pl/articles/729774.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
best linear unbiased estimates
generalized Kampé de Fériet
function
generalized t (GT) distribution
moments of order statistics
Opis:
We derive an explicit expression for the single moments of order statistics from the generalized t (GT) distribution. We also derive an expression for the product moment of any two order statistics from the same distribution. Then the location-scale estimating problem of a real data set is solved alternatively by the best linear unbiased estimates which are based on the moments of order statistics.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2015, 35, 1-2; 95-106
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Generalized Pareto distribution based on generalized order statistics and associated inference
Autorzy:
Malik, Mansoor Rashid
Kumar, Devendra
Powiązania:
https://bibliotekanauki.pl/articles/1193074.pdf
Data publikacji:
2019-08-30
Wydawca:
Główny Urząd Statystyczny
Tematy:
generalized order statistics
generalized Pareto distribution
single and product moment
recurrence relations
characterization and maximum likelihood estimation
Opis:
In this paper, we have considered the generalized Pareto distribution. Various structural properties of the distribution are derived including (quantile function, explicit expressions for moments, mean deviation, Bonferroni and Lorenz curves and Renyi entropy). We have provided simple explicit expressions and recurrence relations for single and product moments of generalized order statistics from the generalized Pareto distribution. The method of maximum likelihood is adopted for estimating the model parameters. For different parameter settings and sample sizes, the simulation studies are performed and compared to the performance of the generalized Pareto distribution.
Źródło:
Statistics in Transition new series; 2019, 20, 3; 57-79
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Ring-like structures with unique symmetric difference related to quantum logic
Autorzy:
Dorninger, Dietmar
Länger, Helmut
Maczyński, Maciej
Powiązania:
https://bibliotekanauki.pl/articles/729037.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
generalized Boolean quasiring
symmetric difference
quantum logic
Opis:
Ring-like quantum structures generalizing Boolean rings and having the property that the terms corresponding to the two normal forms of the symmetric difference in Boolean algebras coincide are investigated. Subclasses of these structures are algebraically characterized and related to quantum logic. In particular, a physical interpretation of the proposed model following Mackey's approach to axiomatic quantum mechanics is given.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2001, 21, 2; 239-253
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Holomorph of generalized Bol loops II
Autorzy:
Jaíyéiọlá, Tèmítọ́pẹ́
Popoola, Bolaji
Powiązania:
https://bibliotekanauki.pl/articles/729179.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
generalized Bol loop
holomorph of a loop
Opis:
The notion of the holomorph of a generalized Bol loop (GBL) is characterized afresh. The holomorph of a right inverse property loop (RIPL) is shown to be a GBL if and only if the loop is a GBL and some bijections of the loop are right (middle) regular. The holomorph of a RIPL is shown to be a GBL if and only if the loop is a GBL and some elements of the loop are right (middle) nuclear. Necessary and sufficient conditions for the holomorph of a RIPL to be a Bol loop are deduced. Some algebraic properties and commutative diagrams are established for a RIPL whose holomorph is a GBL.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2015, 35, 1; 59-78
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Remarks on the generalized doubly truncated gamma distribution
Uwagi o uogólnionym podwójnie uciętym rozkładzie gamma
Autorzy:
Gerstenkorn, Tadeusz
Gerstenkorn, Joanna
Powiązania:
https://bibliotekanauki.pl/articles/904629.pdf
Data publikacji:
1997
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
truncated probability distributions
moments
generalized gamma distribution
Opis:
In the present paper we discuss a doubly truncated generalized gamma distribution and give formulae for the moments of this distribution and special cases together with examples of calculations.
Źródło:
Acta Universitatis Lodziensis. Folia Oeconomica; 1997, 141
0208-6018
2353-7663
Pojawia się w:
Acta Universitatis Lodziensis. Folia Oeconomica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A note on generalized flag structures
Autorzy:
Rybicki, Tomasz
Powiązania:
https://bibliotekanauki.pl/articles/1294378.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
generalized foliation
subfoliation
flag structure
distinguished chart
Opis:
Generalized flag structures occur naturally in modern geometry. By extending Stefan's well-known statement on generalized foliations we show that such structures admit distinguished charts. Several examples are included.
Źródło:
Annales Polonici Mathematici; 1998, 69, 1; 89-97
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A new application of the generalized traveling salesman problem in industry 4.0 and 5.0
Autorzy:
Zerovnik, Janez
Herakovic, Niko
Powiązania:
https://bibliotekanauki.pl/articles/2028007.pdf
Data publikacji:
2021
Wydawca:
Uniwersytet Ekonomiczny w Katowicach
Tematy:
Generalized traveling salesman problem
Flexible assembly workstation
Opis:
A novel application of the generalized traveling salesman is proposed. The practical problem considered is optimization of different optimization criteria in various models of a mixed assembly workstation. Several models that give rise to interesting optimization problems are discussed.
Źródło:
Multiple Criteria Decision Making; 2021, 16; 153-163
2084-1531
Pojawia się w:
Multiple Criteria Decision Making
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Text classification using word sequences
Autorzy:
Chudzian, P.
Powiązania:
https://bibliotekanauki.pl/articles/92904.pdf
Data publikacji:
2008
Wydawca:
Uniwersytet Przyrodniczo-Humanistyczny w Siedlcach
Tematy:
text classification
text representation
generalized suffix tree
Opis:
The article discusses the use of word sequences in text classification. As opposed to ngrams, word sequences are not of a fixed length and therefore allow the classifier to obtain flexibility necessary to operate on documents collected from various sources. Presented classifier is built upon the suffix tree structure which enables word sequences to take part in classification process. During classification, both single words and longer sequences are taken into account and have impact on the category assignment with respect to their frequency and length. The Suffix Tree Classifier and well known Naive Bayes Classifier are compared and their properties are discussed. Obtained results show that incorporating word sequences into text classification can increase accuracy and reveal some interesting relations between maximal length of used sequences and classifier's error rate.
Źródło:
Studia Informatica : systems and information technology; 2008, 1(10); 75-85
1731-2264
Pojawia się w:
Studia Informatica : systems and information technology
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Generalized Stokes parameters of random electromagnetic quasi-homogeneous beams on propagation
Autorzy:
Chen, J
Xin, Y
Chen, Y
Chen, F
Zhao, Q
Powiązania:
https://bibliotekanauki.pl/articles/174819.pdf
Data publikacji:
2013
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
electromagnetic
quasi-homogeneous
generalized Stokes parameters
polarization
Opis:
The expressions for the elements of the on-axis and transverse generalized Stokes parameters of random electromagnetic quasi-homogeneous beams on propagation are presented and are used to study the polarization properties of the beams. Some typical numerical calculations of the on-axis and transverse Stokes parameters, polarization properties of the beams on propagation are illustrated. The results show that for different sources all the on-axis parameters are identical in the near field and keep fixed values in the far field. But the transverse parameters are affected greatly by the properties of the source even in the near field. We have also found that the spatial profiles of the transverse parameters remain unchanged upon propagation.
Źródło:
Optica Applicata; 2013, 43, 2; s. 205-216
0078-5466
1899-7015
Pojawia się w:
Optica Applicata
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
α-Labelings of a Class of Generalized Petersen Graphs
Autorzy:
Benini, Anna
Pasotti, Anita
Powiązania:
https://bibliotekanauki.pl/articles/31339104.pdf
Data publikacji:
2015-02-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
generalized Petersen graph
α-labeling
graph decomposition
Opis:
An α-labeling of a bipartite graph $Γ$ of size $e$ is an injective function $f : V (Γ) → {0, 1, 2, . . ., e}$ such that ${|ƒ(x) − ƒ(y)| : [x, y] ∈ E(Γ)} = {1, 2, . . ., e}$ and with the property that its maximum value on one of the two bipartite sets does not reach its minimum on the other one. We prove that the generalized Petersen graph $P_{Sn,3}$ admits an α-labeling for any integer $n ≥ 1$ confirming that the conjecture posed by Vietri in [10] is true. In such a way we obtain an infinite class of decompositions of complete graphs into copies of $P_{Sn,3}$.
Źródło:
Discussiones Mathematicae Graph Theory; 2015, 35, 1; 43-53
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Implementation of a Value for Generalized Characteristic Function Games
Autorzy:
Michalak, T. P.
Rahwan, T.
Powiązania:
https://bibliotekanauki.pl/articles/91521.pdf
Data publikacji:
2014
Wydawca:
Warszawska Wyższa Szkoła Informatyki
Tematy:
generalized characteristic function games
Shapley value implementation
Opis:
Generalized characteristic function games are a variation of characteristic function games, in which the value of a coalition depends not only on the identities of its members, but also on the order in which the coalition is formed. This class of games is a useful abstraction for a number of realistic settings and economic situations, such as modeling relationships in social networks. To date, two main extensions of the Shapley value have been proposed for generalized characteristic function games: the Nowak-Radzik value and the S´anchez-Berganti˜nos value. In this context, the present article studies generalized characteristic function games from the point of view of implementation and computation. Specifically, the article presents a non-cooperative mechanism that implements the Nowak-Radzik value in Subgame-Perfect Nash Equilibria in expectation.
Źródło:
Zeszyty Naukowe Warszawskiej Wyższej Szkoły Informatyki; 2014, 8, 11; 7-27
1896-396X
2082-8349
Pojawia się w:
Zeszyty Naukowe Warszawskiej Wyższej Szkoły Informatyki
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Application of the second order generalized integrator in digital control systems
Autorzy:
Możdżyński, K.
Rafał, K.
Bobrowska-Rafał, M.
Powiązania:
https://bibliotekanauki.pl/articles/950660.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
second order generalized integrator
digital implementation
DSP
Opis:
The paper describes second order generalized integrator (sogi) which is specialized in band-pass filtering and orthogonalization of periodic signals. Modifications of the structure and the influence of parameters on the system performance is described. The article highlights the particular importance of model discretization method in the practical implementation, as well as reviews estimation methods of the: amplitude, frequency, offset and phase angle of the periodic signal. Examples of simulation and experimental results are presented.
Źródło:
Archives of Electrical Engineering; 2014, 63, 3; 423-437
1427-4221
2300-2506
Pojawia się w:
Archives of Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Generalized directional derivatives for locally Lipschitz functions which satisfy Leibniz rule
Autorzy:
Grzybowski, J.
Pallaschke, D.
Urbański, R.
Powiązania:
https://bibliotekanauki.pl/articles/970935.pdf
Data publikacji:
2007
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
generalized directional derivatives
point derivations
Lipschitz functions
Opis:
In this paper a concept of a generalized directional derivative, which satisfies Leibniz rule is proposed for locally Lipschitz functions, defined on an open subset of a Banach space. Although Leibniz rule is of less importance for a subdifferential calculus, it is of course of some theoretical interest to know about the existence of generalized directional derivatives which satisfy Leibniz rule. The proposed concept of generalized directional derivatives is adopted from the work of D. R. Sherbert (1964) who determined all point derivations for the Banach algebra of Lipschitz functions over a complete metric space.
Źródło:
Control and Cybernetics; 2007, 36, 4; 911-924
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The applications of the kernel densities to modeling the generalized pareto distributions
Autorzy:
Kuźmiński, Łukasz
Powiązania:
https://bibliotekanauki.pl/articles/424967.pdf
Data publikacji:
2013
Wydawca:
Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu
Tematy:
Kernel densities
extreme values
generalized Pareto distributions
Opis:
In this paper we present the tools used in the modeling of distributions with fat tails in the theory of extreme values. We present three tools: the sample distribution function, the histograms for grouped data and the kernel densities. The latter is described in detail. The presented examples show the application of the kernel densities to modeling the generalized Pareto distributions.
Źródło:
Econometrics. Ekonometria. Advances in Applied Data Analytics; 2013, 3(41); 55-64
1507-3866
Pojawia się w:
Econometrics. Ekonometria. Advances in Applied Data Analytics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Nonlocal problems for first order functional partial differential equations
Autorzy:
Turo, Jan
Powiązania:
https://bibliotekanauki.pl/articles/1293860.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
nonlocal problem
generalized solution
differential-functional equation
Opis:
Local existence of generalized solutions to nonlocal problems for nonlinear functional partial differential equations of first order is investigated. The proof is based on the bicharacteristics and successive approximations methods.
Źródło:
Annales Polonici Mathematici; 1999, 72, 2; 99-114
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Generalized symmetric spaces and minimal models
Autorzy:
Dumańska-Małyszko, Anna
Stępień, Zofia
Tralle, Aleksy
Powiązania:
https://bibliotekanauki.pl/articles/1311095.pdf
Data publikacji:
1996
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
minimal model
Koszul complex
generalized symmetric space
Opis:
We prove that any compact simply connected manifold carrying a structure of Riemannian 3- or 4-symmetric space is formal in the sense of Sullivan. This result generalizes Sullivan's classical theorem on the formality of symmetric spaces, but the proof is of a different nature, since for generalized symmetric spaces techniques based on the Hodge theory do not work. We use the Thomas theory of minimal models of fibrations and the classification of 3- and 4-symmetric spaces.
Źródło:
Annales Polonici Mathematici; 1996, 64, 1; 17-35
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Remarks on the generalized probability of the bifuzzy event
Uwagi o uogólnionym prawdopodobieństwie zdarzenia dwoistorozmytego
Autorzy:
Gerstenkorn, Tadeusz
Gerstenkorn, Joanna
Powiązania:
https://bibliotekanauki.pl/articles/907034.pdf
Data publikacji:
2008
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
bifuzzy (intuitionistic) event
generalized-probability
fuzzy set
Opis:
The presentation is a continuation of a paper at MSA’04 (T. Gerstenkorn, J. Gerstenkorn (2007)). In 1978 Ph. Smets proposed the so-called g-probability of a fuzzy event as a generalization of the L. Zadeh’s probability of 1968. In 1980 S. Heilpem also discusscd g-probability and analysed its properties. In 1992 Ph. Smets discussed once again the same his own problem and demonstrated its axiomatic properties. In this elaboration we desire to discuss the g-probability of the bifuzzy (intuitionistic) event and its properties as consistent with Kolmogoroff axiomatics.
Niniejsza prezentacja jest kontynuacją pracy pt. Probability of fuzzy event. Review of problems (Prawdopodobieństwo zdarzenia rozmytego. Przegląd zagadnień), przedstawionej na WAS'05 Acta Univ. Lodz., Folia Oeconomica 2007. W 1978 r. Philippe Smets zaproponował tzw. g-prawdopodobieństwo zdarzenia rozmytego jako pewne uogólnienie prawdopodobieństwa tegoż zdarzenia podanego Przez Lotfi Zadeha w 1968 r. W 1980 r. Stanisław Heilpem także rozważał g-prawdopodobieństwo i analizował jego własności. W 1982 r. Ph. Smets ponownie i szeroko rozpatrywał g-prawdopodobieństwo i dowodził jego aksjomatycznych własności. W przedstawianym opracowaniu pragniemy rozpatrzyć g-prawdopodobieństwo zdarzenia dwoistorozmytego (intuicjonistycznego) i jego własności jako zgodne z aksjomatyką Kołmogorowa.
Źródło:
Acta Universitatis Lodziensis. Folia Oeconomica; 2008, 216
0208-6018
2353-7663
Pojawia się w:
Acta Universitatis Lodziensis. Folia Oeconomica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Limit Property of The Compound Distribution Binomial-Generalized Two-Parameter Gamma
Własność graniczna złożonego rozkładu dwumiarowego z uogólnionym dwuparametrowym gamma
Autorzy:
Gerstenkorn, Tadeusz
Powiązania:
https://bibliotekanauki.pl/articles/905681.pdf
Data publikacji:
2006
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
limit distributions
compound distributions
generalized gamma distribution
Opis:
In 1920 M. Greenwood and G. U. Yule presented a compound distribution Poisson-two-parameter gamma and gave some interesting applications of this compounding. In 1973 H. Jakuszenkow published a compound of the Poisson distribution with the generalized two-parameter gamma one. In 1982 T. Gerstenkorn demonstrated a compound binomialgeneralized beta distribution and in the limit procedure received a compound binomialgeneralized three-parameter gamma one. Now there is presented a limit property of that distribution when one of its parameters takes a special constant value, i.e. if we have a particular two-parameter generalized gamma, giving the theorem of Jakuszenkow.
W roku 1920 M. Greenwood i G. U. Yule przedstawili złożony rozkład Poisson - dwuparametrowy gamma i podali interesujące zastosowanie tego złożenia. W 1973 r. H. Jakuszenkow podała złożenie rozkładu Poissona z uogólnionym dwuparametrowym rozkładem gamma. W 1982 r. T. Gerstenkorn opublikował złożony rozkład dwumianowy z uogólnionym beta i w przejściu granicznym otrzymał złożony rozkład dwumianowy z uogólnionym trzyparametrowym gamma. Obecnie przedstawiona jest własność graniczna tegoż rozkładu, dająca twierdzenie H. Jakuszenkow, jeśli jeden z parametrów tego rozkładu a = 2, tzn. przy ograniczeniu się do szczególnego dwuparametrowego uogólnionego rozkładu gamma.
Źródło:
Acta Universitatis Lodziensis. Folia Oeconomica; 2006, 196
0208-6018
2353-7663
Pojawia się w:
Acta Universitatis Lodziensis. Folia Oeconomica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Compact generalized weighted composition operators on the Bergman space
Autorzy:
Hu, O.
Zhu, X.
Powiązania:
https://bibliotekanauki.pl/articles/952852.pdf
Data publikacji:
2017
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Bergman space
generalized weighted composition operator
compactness
Opis:
We characterize the compactness of the generalized weighted composition operators acting on the Bergman space.
Źródło:
Opuscula Mathematica; 2017, 37, 2; 303-312
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On \(\mathbb{I}\)-approximate limits and \(\mathbb{I}\)-approximate smoothness
Autorzy:
Zduńczyk, Rafał
Powiązania:
https://bibliotekanauki.pl/articles/746328.pdf
Data publikacji:
2006
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Density point
algebra of sets
generalized derivative
Opis:
In this paper we present some results based on slightly modified idea of the \(\mathbb{I}\)-density introduced by Władysław Wilczyński. Some theorems are generalized versions of results from [2] and [3]. We investigate properties of functions from \(\mathbb{R}^X\), where \(X\) is supplied with the \(\mathbb{I}\)-density. We try to free our considerations from the assumption of Baire property, or measurability. In some cases this is not done yet. Star-marked statements still need that assumption, proofs presented here are done for Baire property, but it is possible to adapt them to measure. \(\mathbb{I}\)-density itself does not require any structure of considered space but a metric vector space over \(\mathbb{R}\). However, in last section we confine ourselves to \(\mathbb{R}\), for we make use of \(\mathbb{R}\)’s structure for simplicity. To find more about related topics see [4], [5], more bibliography one can find in [1] and [5].
Źródło:
Commentationes Mathematicae; 2006, 46, 1
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Generalized Saddle-Node Bifurcation of Degenerate Solution
Autorzy:
Liu, Ping
Wang, Yu-Wen
Powiązania:
https://bibliotekanauki.pl/articles/746396.pdf
Data publikacji:
2005
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Operator equation
bifurcation
generalized inverse of operator
Opis:
In this paper we discuss the bifurcation problem for the abstract operator equation of the form \(F (u, \lambda) = \theta\) with a parameter \(\lambda\), where \(F\colon X \times R \to Y\) is a \(C^1\) mapping, \(X, Y\) are Banach spaces. By the bounded linear generalized inverse \(A^+\) of \(A = F_u (u_0 , \lambda_0 )\), an abstract bifurcation theorem for the case \(\operatorname{dim}N (F_u (u_0 , \lambda_0 )) \geq \operatorname{codim} R(F_u (u_0 , \lambda_0 )) = 1\) has been obtained.
Źródło:
Commentationes Mathematicae; 2005, 45, 2
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Point derivations for Lipschitz functions andClarkes generalized derivative
Autorzy:
Demyanov, Vladimir
Pallaschke, Diethard
Powiązania:
https://bibliotekanauki.pl/articles/1339173.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
point derivations
generalized directional derivative
Lipschitz functions
Opis:
Clarke's generalized derivative $f^0(x,v)$ is studied as a function on the Banach algebra Lip(X,d) of bounded Lipschitz functions f defined on an open subset X of a normed vector space E. For fixed $x\in X$ and fixed $v\in E$ the function $f^0(x,v)$ is continuous and sublinear in $f\in Lip(X,d)$. It is shown that all linear functionals in the support set of this continuous sublinear function satisfy Leibniz's product rule and are thus point derivations. A characterization of the support set in terms of point derivations is given.
Źródło:
Applicationes Mathematicae; 1996-1997, 24, 4; 465-474
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł

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