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1.
Considering a series representation of a coherent system using a shift transform of the components lifetime Ti, at its critical level Yi, we study two problems. First, under such a shift transform, we analyse the preservation properties of the non-parametric distribution classes and secondly the association preserving property of the components lifetime under such transformations.  相似文献   

2.
In this paper we introduce a new family of measures of divergence for the analysis of the degree of departure from a model with a constant hazard function and also for comparing if two models have proportional hazard rates. Our family of measures is based on the family of divergences introduced by Burbea and Rao (see [J. Burbea, C.R. Rao, On the convexity of higher order Jensen differences based on entropy functions, IEEE Transactions on Information Theory 28 (1982) 961–963]). Some well-known sets of data are reanalyzed using the new families of test statistics and confidence intervals introduced in this paper.  相似文献   

3.
This paper studies the coincidence of the τωτω and τδτδ topologies on the space of holomorphic functions defined on an open subset U   of a Banach space. Dineen and Mujica proved that τω=τδτω=τδ when U   is a balanced open subset of a separable Banach space with the bounded approximation property. Here, we study the τω=τδτω=τδ problem for several types of non-balanced domains U.  相似文献   

4.
In this paper, we are mainly concerned with some properties of the global attractor for some p-Laplacian equation with a Lyapunov function in a Banach space. Under some suitable assumptions, we prove the existence of multiple equilibrium points in a global attractor for some p-Laplacian equation.  相似文献   

5.
In this paper we investigate the solution of a complex standby system with constant waiting and different repairman criteria incorporating environmental failure. By using the method of functional analysis, especially, the C0C0 semigroup theory of bounded linear operators on Banach space, we prove the well-posedness and the existence of positive solution of the system. Under some appropriate hypothesis, we prove that the dynamic solution of the system converges its steady state in a stronger sense.  相似文献   

6.
By multidimensional matrix inversion, combined with an A r extension of Jackson’s 8 φ 7 summation formula by Milne, a new multivariable 8 φ 7 summation is derived. By a polynomial argument this 8 φ 7 summation is transformed to another multivariable 8 φ 7 summation which, by taking a suitable limit, is reduced to a new multivariable extension of the nonterminating 6 φ 5 summation. The latter is then extended, by analytic continuation, to a new multivariable extension of Bailey’s very-well-poised 6 ψ 6 summation formula. Partly supported by FWF Austrian Science Fund grants P17563-N13, and S9607 (the second is part of the Austrian National Research Network “Analytic Combinatorics and Probabilistic Number Theory”).  相似文献   

7.
In this work, we study the existence and regularity of solutions for some partial functional integrodifferential equations in Banach spaces. We suppose that the undelayed part admits a resolvent operator in the sense given by Grimmer in [R. Grimmer, Resolvent operators for integral equations in a Banach space, Transaction of American Mathematical Society 273 (1982) 333–349]. The delayed part is assumed to be locally Lipschitz. Firstly, we show the existence of the mild solutions. Secondly, we give sufficient conditions ensuring the existence of the strict solutions.  相似文献   

8.
We present a uniqueness theorem for k  -graph C?C?-algebras that requires neither an aperiodicity nor a gauge invariance assumption. Specifically, we prove that for the injectivity of a representation of a k  -graph C?C?-algebra, it is sufficient that the representation be injective on a distinguished abelian C?C?-subalgebra. A crucial part of the proof is the application of an abstract uniqueness theorem, which says that such a uniqueness property follows from the existence of a jointly faithful collection of states on the ambient C?C?-algebra, each of which is the unique extension of a state on the distinguished abelian C?C?-subalgebra.  相似文献   

9.
This paper proves three different coherence theorems for symmetric monoidal bicategories. First, we show that in a free symmetric monoidal bicategory every diagram of 2-cells commutes. Second, we show that this implies that the free symmetric monoidal bicategory on one object is equivalent, as a symmetric monoidal bicategory, to the discrete symmetric monoidal bicategory given by the disjoint union of the symmetric groups. Third, we show that every symmetric monoidal bicategory is equivalent to a strict one.  相似文献   

10.
In this paper we proved that for a large class of compact subsetsK in the complex plane,R(K) is dense inL q () if and only if the set of analytic bounded point evaluations forR q (K, ) is empty. As a consequence, we showed that this result is true for allK ifR(K) is replaced byA(K). Our main result includes the corresponding result of James Thomson for polynomials approximation as such a special case thatK is a disk.  相似文献   

11.
An application of the “generalized Zernike or disc polynomials”, recently introduced in the literature, is shown, resorting to the Lie algebra based investigation of the dynamics of quantum systems driven by two-mode interaction Hamiltonians. Further properties of the associated “disc functions” are deduced. Also, a generalization of the disc polynomials towards the Hahn polynomials is suggested.  相似文献   

12.
We analyze the multimodal logic S4 n with the central agent axiom. We present a Hilbert-type calculus, then derive a Gentzen-type calculus with cut, and prove a cut-elimination theorem. The work shows that it is possible to construct a cut-free Gentzen-type calculus for this logic. Moreover, it also provides analogous results for the multimodal logic K4 n with the central agent axiom.  相似文献   

13.
We give a constructive proof that any σ  -porous subset of a Hilbert space has Lebesgue measure zero on typical C1C1 curves. Further, we discover that this result does not extend to all forms of porosity; we find that even power-p   porous sets may meet many C1C1 curves in positive measure.  相似文献   

14.
Road freight transportation is a major contributor to carbon dioxide equivalent emissions. Reducing these emissions in transportation route planning requires an understanding of vehicle emission models and their inclusion into the existing optimization methods. This paper provides a review of recent research on green road freight transportation.  相似文献   

15.
The paper discusses the generalization of a construction described in [6] for the case when the starting point topology is replaced by a generalized topology. Research supported by Hungarian Foundation for Scientific Research, grant No. T 49786.  相似文献   

16.
We study a complete noncompact submanifold MnMn in a sphere Sn+pSn+p. We prove that there admit no nontrivial L2L2-harmonic 1-forms on M if the total curvature is bounded from above by a constant depending only on n. The gap theorem is a generalized version of Carron?s, Yun?s, Cavalcante?s and the first author?s results on submanifolds in Euclidean spaces and Seo?s result on submanifolds in hyperbolic space without the condition of minimality.  相似文献   

17.
In this paper, the wrap-around L2L2-discrepancy (WD) of asymmetrical design is represented as a quadratic form, thus the problem of constructing a uniform design becomes a quadratic integer programming problem. By the theory of optimization, some theoretic properties are obtained. Algorithms for constructing uniform designs are then studied. When the number of runs nn is smaller than the number of all level-combinations mm, the construction problem can be transferred to a zero–one quadratic integer programming problem, and an efficient algorithm based on the simulated annealing is proposed. When n≥mnm, another algorithm is proposed. Empirical study shows that when nn is large, the proposed algorithms can generate designs with lower WD compared to many existing methods. Moreover, these algorithms are suitable for constructing both symmetrical and asymmetrical designs.  相似文献   

18.
It is well known that he influence relation orders the voters the same way as the classical Banzhaf and Shapley–Shubik indices do when they are extended to the voting games with abstention (VGA) in the class of complete games. Moreover, all hierarchies for the influence relation are achievable in the class of complete VGA. The aim of this paper is twofold. Firstly, we show that all hierarchies are achievable in a subclass of weighted VGA, the class of weighted games for which a single weight is assigned to voters. Secondly, we conduct a partial study of achievable hierarchies within the subclass of H-complete games, that is, complete games under stronger versions of influence relation.  相似文献   

19.
For a Tychonoff space X  , we denote by Cp(X)Cp(X) and Cc(X)Cc(X) the space of continuous real-valued functions on X equipped with the topology of pointwise convergence and the compact-open topology respectively. Providing a characterization of the Lindelöf Σ-property of X   in terms of Cp(X)Cp(X), we extend Okunev?s results by showing that if there exists a surjection from Cp(X)Cp(X) onto Cp(Y)Cp(Y) (resp. from Lp(X)Lp(X) onto Lp(Y)Lp(Y)) that takes bounded sequences to bounded sequences, then υY is a Lindelöf Σ-space (respectively K-analytic) if υX has this property. In the second part, applying Christensen?s theorem, we extend Pelant?s result by proving that if X is a separable completely metrizable space and Y   is first countable, and there is a quotient linear map from Cc(X)Cc(X) onto Cc(Y)Cc(Y), then Y   is a separable completely metrizable space. We study also a non-separable case, and consider a different approach to the result of J. Baars, J. de Groot, J. Pelant and V. Valov, which is based on the combination of two facts: Complete metrizability is preserved by ?p?p-equivalence in the class of metric spaces (J. Baars, J. de Groot, J. Pelant). If X   is completely metrizable and ?p?p-equivalent to a first-countable Y, then Y is metrizable (V. Valov). Some additional results are presented.  相似文献   

20.
We study the interplay of C?C?-dynamics and K  -theory. Notions of chain recurrence for transformations groups (X,Γ)(X,Γ) and MF actions for non-commutative C?C?-dynamical systems (A,Γ,α)(A,Γ,α) are translated into K-theoretical language, where purely algebraic conditions are shown to be necessary and sufficient for a reduced crossed product to admit norm microstates. We are particularly interested in actions of free groups on AF algebras, in which case we prove that a K-theoretic coboundary condition determines whether or not the reduced crossed product is a matricial field (MF) algebra. One upshot is the equivalence of stable finiteness and being MF for these reduced crossed product algebras.  相似文献   

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