排序方式: 共有8条查询结果,搜索用时 15 毫秒
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《Physics letters. A》2020,384(20):126459
We show that sums of carefully chosen coincidence rates in a multiphoton interferometry experiment can be simplified by replacing the original unitary scattering matrix with a coset matrix containing 0s. The number and placement of these 0s reduces the complexity of each term in the sum without affecting the original sum of rates. In particular, the evaluation of sums of modulus squared of permanents is shown to turn in some cases into a sum of modulus squared of determinants. The sums of rates are shown to be equivalent to the removal of some optical elements in the interferometer. 相似文献
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A system with n independent components which has a k-out-of-n: G structure operates if at least k components operate. Parallel systems are 1-out-of-n: G systems, that is, the system goes out of service when all of its components fail. This paper investigates the mean residual life function of systems with independent and nonidentically distributed components. Some examples related to some lifetime distribution functions are given. We present a numerical example for evaluating the relationship between the mean residual life of the k-out-of-n: G system and that of its components. 相似文献
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N. Balakrishnan Erhard Cramer 《Annals of the Institute of Statistical Mathematics》2008,60(1):151-171
Progressively censored order statistics from heterogeneous distributions are introduced and their properties are investigated.
After deriving the joint density function, some properties are established. In particular, the case of proportional hazards
leads to an interesting connection to the model of generalized order statistics. Finally, the special case of exponential
distribution is considered and some known results are generalized to this heterogeneous case, and their implications to robustness
are highlighted. 相似文献
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Thomas H. Pate 《Linear algebra and its applications》2010,432(1):116-133
Let V be a complex inner product space of positive dimension m with inner product 〈·,·〉, and let Tn(V) denote the set of all n-linear complex-valued functions defined on V×V×?×V (n-copies). By Sn(V) we mean the set of all symmetric members of Tn(V). We extend the inner product, 〈·,·〉, on V to Tn(V) in the usual way, and we define multiple tensor products A1⊗A2⊗?⊗An and symmetric products A1·A2?An, where q1,q2,…,qn are positive integers and Ai∈Tqi(V) for each i, as expected. If A∈Sn(V), then Ak denotes the symmetric product A·A?A where there are k copies of A. We are concerned with producing the best lower bounds for ‖Ak‖2, particularly when n=2. In this case we are able to show that ‖Ak‖2 is a symmetric polynomial in the eigenvalues of a positive semi-definite Hermitian matrix, MA, that is closely related to A. From this we are able to obtain many lower bounds for ‖Ak‖2. In particular, we are able to show that if ω denotes 1/r where r is the rank of MA, and , then
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In this paper, we establish an algorithm for the computation of the mean residual life of a (n − k + 1)-out-of-n system in the case of independent but not necessarily identically distributed lifetimes of the components. An application for the exponentiated Weibull distribution is given to study the effect of various parameters on the mean residual life of the system. Also the relationship between the mean residual life for the system and that of its components is investigated. 相似文献
6.
Si-Ju Kim 《Linear and Multilinear Algebra》1997,42(4):319-322
A square matrix A with per A≠0 is called convertible if there exists a (1, -1) matrix H such that per A=det(H o A) where H o A denote the Hadamard product of H and A In this paper, an upper bound of permanents of maximal convertible (0,1) matrices A with π(A)≥4(n-1) is obtained. 相似文献
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D. Berend 《Discrete Mathematics》2018,341(11):3241-3248
We provide an upper bound on the number of Sudoku squares, and explain intuitively why there is reason to believe that the bound is tight up to a multiplicative factor of a much smaller order of magnitude. A similar bound is established for Sudoku squares with rectangular regions. 相似文献
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