Certain Solutions of Equation f（z,0,…,0,uk,0,…,0）=0

ＣｅｒｔａｉｎＳｏｌｕｔｉｏｎｓｏｆＥｑｕａｔｉｏｎｆ（ｚ，０，…，０，ｕ_ｋ，０，…，０）＝０ＬｉｕＧｕａｎｇｍｉｎ（刘光民）（ＫａｉｆｅｎｇＴｅａｃｈｅｒ＇ｓＣｏｌｌｅｇｅ）ＬｉｕＧｕａｎｇｍｉｎ（ＫａｉｆｅｎｇＴｅａｃｈｅｒ＇ｓＣｏｌｌｅｇｅ）?..     

ARIMA,cointegration, Kalman-filter, α -stable distributions

A group of scientists, from Ukraine, the United Kingdom and Switzerland met at the 3rd International Congress on Industrial and Applied Mathematics (ICIAM95) Hamburg. They decided to pool their applied research efforts and experiences in the domain of mathematics, statistics and economics and to collaborate in empirical research on the subject of the transitional economies of Ukraine and Eastern Europe after 1989. The activity started in autumn 1995 within the framework of a project titled Analysis of Economic and Environmental Time Series (AEETS).At theMinisymposium Cointegrating, Kalman Filtering of Economic Time Series, α-stable Distributions, of the ICIAM07 in Zurich, the AEETS group has presented a sample of recently treated questions. In this abstract two of these subjects are summarised. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)     

关于[m,n,p_1,p_2,…,p_s]指数型群

本文给出了[m,n,p_1,p_2,…,p_s]指数型群的结构,改进了前人的结果.     

平而不俗,内涵丰富,多元联系,异彩纷呈

2012年高考北京数学试题在秉承前几年命题理念的基础上更趋稳定与成熟.试题平而不俗、内涵丰富;稳中有变,变中有新;题在书外,根在书内.试题注重能力立意,着力考查考生对数学本质的理解,有利于数学素质教育的实施,有利于数学教育改革的发展,对中学数学教学起到了积极而正确的引领作用.下面仅对文、理13题予以解析,供参考.     

Preferences,agreement, consensus — measuring,aggregation and control

This paper presents a model for analysis and a practical method of management of a session meant at attainment of consensus regarding preferences over a set of multi-aspect options, these preferences being expressed through pairwise comparisons or orderings. The model and the method accept and process valued or fuzzy preferences, while preserving an entirely crisp procedure throughout the approach. The aggregation method presented previously in Owsiski and Zadrony [17, 18] is referred to and expanded for the case of clusterwise preference aggregation and consensus measurement. The framework of the clustering approach of Owsiski [19] is applied, allowing for a natural definition of consensus.     

Constructions of （q,K, λ, t,Q） almost difference families

The concept of a （q, k, λ, t） almost dltterence tamlly （ADF） nas oeen introduced and studied by C. Ding and J. Yin as a useful generalization of the concept of an almost difference set. In this paper, we consider, more generally, （q, K,λ, t, Q）-ADFs, where K = {k1, k2,.…, kr} is a set of positive integers and Q = （q1,q2,... ,qr） is a given block-size distribution sequence. A necessary condition for the existence of a （q, K, λ, t, Q）-ADF is given, and several infinite classes of （q, K, A, t, Q）-ADFs are constructed.     

B0,I0,B1,I1,C0-半群

利用半群的理想和双理想呈现的包含关系定义了新的半群类B0,I0,B1,I1,C0-半群,讨论其性质,证明了正则半群S是C0-半群的充要条件是S是矩形带;B0,I0,B1,I1,C0-半群各自的直积半群和关于同余的商半群保持B0,I0,B1,I1,C0性.     

GSOR,GAOR,GSSOR和GSAOR

M.M.Martins于1986年提出了解线性代数方程组的MSOR方法,其实这种方法就是[2]中GAOR方法的特例,而且在[2]中还讨论了GSAOR方法,收敛性条件只含Jacobi迭代矩阵的谱半径,不含方程组的系数,特别是建立了GAOR或GSAOR收敛和方程组系数A为H阵的等价性,故所得结果比较好.又[1]中的定理1也是[4]中一个     

О решеткахИ-Радикалов, строгих слева Радикалов, наследственных слева радикалов

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Quasi-P*-Maps,P(τ, α, β)-Maps,Exceptional Family of Elements,and Complementarity Problems

Quasi-P_*-maps and P(, , )-maps defined in this paper are two large classes of nonlinear mappings which are broad enough to include P_*-maps as special cases. It is of interest that the class of quasi-P_*-maps also encompasses quasimonotone maps (in particular, pseudomonotone maps) as special cases. Under a strict feasibility condition, it is shown that the nonlinear complementarity problem has a solution if the function is a nonlinear quasi-P_*-map or P(, , )-map. This result generalizes a classical Karamardian existence theorem and a recent result concerning quasimonotone maps established by Hadjisawas and Schaible, but restricted to complementarity problems. A new existence result under an exceptional regularity condition is also established. Our method is based on the concept of exceptional family of elements for a continuous function, which is a powerful tool for investigating the solvability of complementarity problems.     

Приближение классов B p, θ Ω , периодических функций многих переменных линейными методами

The author studies problems of the approximation of the classes B _{p, θ} ^Ω 1 ≤ p ≤ ∞, of periodic functions in several variables by linear methods in the metric of the space L _∞.