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1.
《代数通讯》2013,41(11):4853-4870
Let k be an arbitrary field of characteristic zero, and U be the quantized enveloping algebra U q (sl(2)) over k. The aim of this present paper is to study the ideals of U at q not a root of unity. It turns out that every non-zero ideal of U can be generated by at most two highest weight vectors under the adjoint action, and by a sum of two highest weight vectors. This weight property make it possible to give a complete list of all prime (primitive, maximal) ideals of U according to their generators. 相似文献
2.
Jirapha Limbupasiriporn 《Journal of Geometry》2010,98(1-2):139-149
The problem of determining the minimum weight and the minimum-weight vectors of the dual code of a finite projective plane has attracted much attention over the years. In this paper, we present a survey of the structure of possible small weight vectors in the dual code of planes of even order. In particular, we discuss small sets of even type in the plane that could give words of low weight in the dual code. 相似文献
3.
Modeling graphs using dot product representations 总被引:1,自引:0,他引:1
Given a simple (weighted) graph, or a collection of graphs on a common vertex set, we seek an assignment of vectors to the
vertices such that the dot products of these vectors approximate the weight/frequency of the edges. By transforming vertices
into (low dimensional) vectors, one can bring geometric methods to bear in the analysis of the graph(s). We illustrate our
approach on the Mathematicians Collaboration Graph [Grossman (1996) The Erdős number project, ] and the times series of Interstate Alliance Graphs (Gibler and Sarkees in J Peace Res 41(2):211–222, 2004). 相似文献
4.
In the present paper, we consider the problem of the optimal reconstruction of the solution of the wave equation from the approximate values of the Fourier coefficients of the function specifying the initial form of the string. For an operator defined on the weight space of vectors from l 2, we present the solution of the more general problem of reconstruction from the approximate values of the coordinates of these vectors. 相似文献
5.
《Comptes Rendus de l'Academie des Sciences Series IIA Earth and Planetary Science》1998,326(6):703-708
We establish the completeness of root vectors for a non-selfadjoint Douglis-Nirenberg elliptic problem with an indefinite weight matrix in appropriate Lp Sobolev spaces. 相似文献
6.
We examine some geometric configurations of points in designs that give rise to vectors in the codes associated with the designs. In particular we look at small sets of points in projective planes of even order that are met evenly by all the lines of the plane, and find vectors of small weight in the binary hull and in the code's orthogonal.
Dedicated to Professor Helmut Karzel on the occasion of his 70th
birthday 相似文献
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Marc G. Genton Nicola M. R. Loperfido 《Annals of the Institute of Statistical Mathematics》2005,57(2):389-401
This paper introduces generalized skew-elliptical distributions (GSE), which include the multivariate skew-normal, skew-t, skew-Cauchy, and skew-elliptical distributions as special cases. GSE are weighted elliptical distributions but the distribution
of any even function in GSE random vectors does not depend on the weight function. In particular, this holds for quadratic
forms in GSE random vectors. This property is beneficial for inference from non-random samples. We illustrate the latter point
on a data set of Australian athletes. 相似文献
9.
Xiaoping Xu 《Frontiers of Mathematics in China》2011,6(4):759-774
Singular vectors of a representation of a finite-dimensional simple Lie algebra are weight vectors in the underlying module
that are nullified by positive root vectors. In this article, we use partial differential equations to explicitly find all
the singular vectors of the polynomial representation of the simple Lie algebra of type F
4 over its 26-dimensional basic irreducible module, which also supplements a proof of the completeness of Brion’s abstractly
described generators. Moreover, we show that the number of irreducible submodules contained in the space of homogeneous harmonic
polynomials with degree k ⩾ 2 is greater than or equal to 〚k/3〛 + 〚(k − 2)/3〛 + 2. 相似文献
10.
In this paper, we propose methods to derive interval weight vectors from reciprocal relations for reflecting the inconsistency when decision makers provide preferences over alternatives (or criteria). Several goal programming models are established to minimize the inconsistency based on multiplicative and additive consistency, respectively. Especially, if we obtain a crisp weight vector from a reciprocal relation, then it is consistent. Then, we extend the proposed methods to incomplete reciprocal relations and interval reciprocal relations and develop the corresponding models to derive interval weight vectors. Several examples are also given to compare the developed methods with the existing ones. 相似文献
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St��phane Manuel 《Designs, Codes and Cryptography》2011,59(1-3):247-263
The main contribution of this paper is to provide a classification of disturbance vectors used in differential collision attacks against ${\tt{SHA}-1}$ . We show that all published disturbance vectors can be classified into two types of vectors, type-I and type-II. We present a deterministic algorithm which produce efficient disturbance vectors with respect to any given cost function. We define two simple cost functions to evaluate the efficiency of a candidate disturbance vector. Using our algorithm and those cost function we retrieved all previously known vectors and found that the most efficient disturbance vector is the one first reported as Codeword2 by Jutla and Patthak, A matching lower bound on the minimum weight of SHA-1 expansion code. Cryptology ePrint Archive, Report 2005/266, (2005). We also present a statistical evaluation of local collisions?? holding probabilities and show that the common assumption of local collision independence is flawed. 相似文献
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Stochastic multicriteria acceptability analysis (SMAA) is a family of methods for aiding multicriteria group decision making in problems with inaccurate, uncertain, or missing information. These methods are based on exploring the weight space in order to describe the preferences that make each alternative the most preferred one, or that would give a certain rank for a specific alternative. The main results of the analysis are rank acceptability indices, central weight vectors and confidence factors for different alternatives. The rank acceptability indices describe the variety of different preferences resulting in a certain rank for an alternative, the central weight vectors represent the typical preferences favouring each alternative, and the confidence factors measure whether the criteria measurements are sufficiently accurate for making an informed decision. 相似文献
15.
《代数通讯》2013,41(5):2417-2423
Abstract We give a short proof of the irreducibility of Harish-Chandra modules of sufficiently high highest weight of the lowest K-type for the groups Sp n (?) and U( p, q). The proof uses the action of the Casimir operator on holomorphic highest weight vectors and elementary inequalities. 相似文献
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基于相对熵的多属性决策组合赋权方法 总被引:5,自引:0,他引:5
综合各种赋权方法给出的主观和客观属性权重信息,建立了求解多属性决策问题属性权重的优化模型,并改进了文献[11]中模型的求解方法.根据各种主客观赋权法给出的赋权结果的贴近度确定其在权重集成中的加权系数,贴近度通过计算权重向量的相对熵来得到,最后通过应用实例对此方法予以说明. 相似文献
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This paper presents a curve reconstruction algorithm based on discrete data points and normal vectors using B-splines.The proposed algorithm has been improved in three steps:parameterization of the discrete data points with tangent vectors,the B-spline knot vector determination by the selected dominant points based on normal vectors,and the determination of the weight to balancing the two errors of the data points and normal vectors in fitting model.Therefore,we transform the B-spline fitting problem into three sub-problems,and can obtain the B-spline curve adaptively.Compared with the usual fitting method which is based on dominant points selected only by data points,the B-spline curves reconstructed by our approach can retain better geometric shape of the original curves when the given data set contains high strength noises. 相似文献
20.
Khaled A.S. Abdel-Ghaffar 《Linear algebra and its applications》2012,436(7):2665-2669
We present a formula enumerating matrices over a finite field of a given rank and a given number of rows of unit weight, i.e., each having a single nonzero entry. We also determine the number of subspaces of a given dimension containing a given number of vectors of unit weight. 相似文献