基于属性测度的决策系统研究

在属性集和属性测度理论基础上系统地讨论了属性测度综合评价和决策系统.把综合决策系统分为三个子系统;第一个为单指标性能函数分析子系统,第二个为多指标综合性能函数分析子系统;第三个为识别分析子系统.并在属性测度决策系统的基础上,给出了一个应用实例.通过实例的分析,表明该系统是合理、实用和有效的.     

含Eu3+离子的Na2O-K2 O-SiO2-Al2O3系统玻璃的制备及其变温发射光谱与结构特性

通过高温熔融法制备了含Eu^3 离子的Na2O-K2O-SiO2-Al2O3系统玻璃。在488nm波长光的激发下，系统地研究了上述玻璃从77K到700K温度范围的变温发光特征。发现总的荧光强度首先随温度的升高而大幅度升高，然后随温度的升高而减少，用声子辅助吸收与热激活过程及温度淬灭效应定性地解释了上述强度的变化，同时测量与分析了Eu^3 离子的晶格场参量。结果表明，Eu^3 离子与氧离子的距离随着温度升高而变短，而Eu^3 离子的配位数不随温度而变化。     

On certain spaces of lattice diagram determinants

The aim of this work is to study some lattice diagram determinants Δ_L(X,Y) as defined in (Adv. Math. 142 (1999) 244) and to extend results of Aval et al. (J. Combin. Theory Ser. A, to appear). We recall that M_L denotes the space of all partial derivatives of Δ_L. In this paper, we want to study the space M_i,j^k(X,Y) which is defined as the sum of M_L spaces where the lattice diagrams L are obtained by removing k cells from a given partition, these cells being in the “shadow” of a given cell (i,j) in a fixed Ferrers diagram. We obtain an upper bound for the dimension of the resulting space M_i,j^k(X,Y), that we conjecture to be optimal. This dimension is a multiple of n! and thus we obtain a generalization of the n! conjecture. Moreover, these upper bounds associated to nice properties of some special symmetric differential operators (the “shift” operators) allow us to construct explicit bases in the case of one set of variables, i.e. for the subspace M_i,j^k(X) consisting of elements of 0 Y-degree.     

不确定型AHP中判断矩阵一致性的定义

文章定义了区间矩阵的几种运算，并给出了不确定型判断矩阵满足一致性的条件。     

On RD‐rational Krylov approximations to the core‐functions of exponential integrators

The paper deals with the application of the restricted‐denominator rational Krylov method, recently discussed in (BIT 2004; 44 (3):595–615; SIAM J. Sci. Comput. 2005; 27 :1438–1457), to the computation of the action of the so‐called φ‐functions, which play a fundamental role in several modern exponential integrators. The analysis here presented is devoted in particular to the construction of error estimates of easy practical use. Copyright © 2007 John Wiley & Sons, Ltd.     

Functional equations for transfer-matrix operators in open Hecke chain models

We consider integrable open chain models formulated in terms of the generators of affine Hecke algebras. We use the fusion procedure to construct the hierarchy of commutative elements, which are analogues of the commutative transfer matrices. These elements satisfy a set of functional relations generalizing functional relations for a family of transfer matrices in solvable spin chain models of the U_q(gl(n|m)) type. __________ Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 150, No. 2, pp. 219–236, February, 2007.     

Dn中幂等元的一种关系

本研究了Dn中幂等元的某些性质。给出了幂等元的另一个等价刻划以及两幂等元之积仍是幂等元的一个充要条件。     

关于矩阵分解为稳定矩阵之和的讨论

要解决的问题是一个矩阵是否可以分解为若干稳定 (连续时间意义下 )矩阵的和 .通过推广Ito,Hattori and Maeda在文献 [2 ]中使用的方法并运用其中的成果 ,我们得到了更为准确的相关结论 .     

表有限域上矩阵为两个可逆矩阵的平方和

本文将有限域Ｆｑ（ｃｈａｒ Ｆｑ≠２）上的Ｄｉｃｋｓｏｎ方程：ｘ＾２＋ｙ＾２＝ａ（ａ≠０）当│Ｆｑ│≥７时在Ｆｑ＾－中有解的经典结果推广到ｎ阶方阵上，证明了只要Ｆ≠Ｆ２，除奇数阶纯量阵外每一ｎ阶方阵可表为两个可逆阵的平方和。     

An application of the capacitance matrix method to accommodate masked land areas and island circulations in a primitive equation ocean model

The capacitance matrix method has been implemented in a primitive equation ocean model to accommodate islands and portions of irregular coastal boundaries that cannot be treated adequately by boundary-fitted orthogonal curvilinear co-ordinates. The algorithm preserves the ability to solve the streamfunction equation using fast and accurate elliptic solvers that require a rectangular computational domain. By superposition of a set of island Green functions, the solution is adjusted to ensure continuity of pressure around each island. The implementation is tested by comparison with an analytic solution for wind-driven flow in a closed basin similar to the southwest Pacific Ocean.