Über Polynomsysteme,die Sturm-Liouvilleschen Differenzengleichungen genügen

Ohne Zusammenfassung     

Experimentelle Identifikation viskoelastischer Eigenschaften von Bremsbelägen

Bremsenquietschen ist ein hochfrequentes störendes Geräusch, welches auf reibungsinduzierte selbsterregte Schwingungen des Bremssystems zurückzuführen ist. Dabei verliert die nicht quietschende Konfiguration ihre Stabilität, das Bremssystem beginnt mit wachsenden Amplituden zu schwingen und erreicht schließlich einen Grenzzykel. Bei der mechanisch-mathematischen Modellbildung zur Vorhersage des Bremsenquietschens ist das viskoelastische Verhalten der Reibmaterialien eine der wesentlichen Einflußgrößen. Aufgrund der starken Abhängigkeit der Reibmaterialien von der Art und Höhe der Belastung, wird nachfolgend ein Verfahren zur experimentellen Identifikation ihrer Eigenschaften unter Berücksichtigung von quietschrelevanten Belastungszuständen vorgestellt. Die experimentell identifizierten Parameter werden in ein Mehrkörper-Bremsenmodell einer Kraftfahrzeugscheibenbremse integriert und erste Ergebnisse der nichtlinearen Stabilitätsanalyse vorgestellt. (© 2010 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)     

Eine genäherte Behandlung des schweren symmetrischen Kreisels in nicht-Eulerschen Koordinaten

Summary The gyroscope has many technical applications as an essential member in a system with several degrees of freedom, the (dynamic) stability of which with respect to a certain equilibrium position may be of particular interest. To investigate the stability of a system by the well-known method of small oscillations, the movements of the different members must be described by convenient coordinates. As to the gyroscope, it is necessary for this purpose to replaceEuler's angles by other coordinates, with which the rigorous equations of its movement are deduced. Assuming only small displacements of the axis of symmetry from its undisturbed equilibrium position, and by making the problem dimensionless, a simple solution can be obtained for the nutation and precession of a heavy gyroscope both as a symmetrical top and as a gyroscopic pendulum. Further, the damping of the gyroscope by its movement around the equilibrium position has also been considered in order to be able to estimate its influence on the stability.     

抚顺煤田始新世琥珀中喜沼小蜉属(新属)——Philolimnias gen. nov. (Ephemeroptera,Insecta)的研究

本文重点记述抚顺煤田始新世琥珀中蜉蝣目一个新属——喜沼小蜉属(Philolimnias gen. nov.).这个属在分类上属于小蜉科(Ephemerellidae),与近代生存的小蜉属布形式,前缘区极窄,触角细长,尤其是抱握器更为特殊,为抚顺煤田独特性质的新种群,至今尚未发现,从分类观点,应当建立新属,喜沼小蜉属的建立将为始新世地层划分和对比提供化石依据。本文还讨论了几年来的抚顺煤田地层层序和时代的新成果(详细内容另文发表),这些成果已在抚顺煤矿中应用,并对于邻区的生产工作和地层对比也有一定的实际价值。     

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.     

Higher-Order (F,α,β,ρ,d,E)-Convexity in Fractional Programming

In this paper we define higher order (F,α,β,ρ,d,E)-convex function with respect to E-differentiable function K and obtain optimality conditions for nonlinear programming problem (NP) from the concept of higher order (F,α,β,ρ,d)-convexity. Here, we establish Mond-Weir and Wolfe duality for (NP) and utilize these duality in nonlinear fractional programming problem.     

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.