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

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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.     

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.     

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.     

关于算术,对数,指数,几何平均不等式的概率证法

本用概率方法证明了关于两个相异的正数的几何平均、对数平均、指数平均和算术平均的不等式关系。     

Stetigkeit,Monotonie, Oszillation,Variation: Naheliegendes und Überraschendes

In this paper we discuss some interconnections between continuity, monotonicity, and oscillatory behaviour of real functions, with a particular emphasis on examples and counterexamples. The presentation is throughout elementary and requires only a modest background from a typical first year calculus course.