PARTITION A GRAPH WITH SMALL DIAMETER INTO TWO INDUCED MATCHINGS

§1　IntroductionGraphs considered in this paper are finite and simple.For a graph G,its vertex setandedge set are denoted by V(G) and E(G) ,respectively.If vertices u and v are connected inG,the distance between u and v,denoted by d G(u,v) ,is the length ofa shortest(u,v) -pathin G.The diameter of a connected graph G is the maximum distance between two verticesof G.For X V(G) ,the neighbor set NG(X) of X is defined byNG(X) ={ y∈V(G) \X:there is x∈X such thatxy∈E(G) } .NG({ x} )…     

Operatorenkalkül über freien Monoiden I: Strukturen

In part I algebraic structures (esp. rings) on the sets of polynomials and formal power series on an at most countable alphabetA are considered. Given a partial order onA the words ofA ^* are mixed together in consistence with it. It is shown that the structures derived are associative iff the given partial order is of linear type. The coefficients appearing at these operations are identified as generalizations of the ordinary binomial coefficients and a number of relations involving them are listed up.(Part II will bring a generalization ofRota's theory of polynomial sequences of binomial type to the structures studied in I.In Part III the theory of special binomial systems will be continued until the analogue of Lagrange inversion and a short development of generalized Sheffer polynomials will be given).     

Anmerkungen betreffend eine „Statistische Technologie“

Zusammenfassung Der Zweck einer Statistischen Technologie im Bereiche der Unternehmensforschung wird kurz zu begründen versucht. Die Verarbeitung extensionaler und intensionaler statistischer Nachrichten durch eine Kalkültechnik soll nach dem Baukastenprinzip organisiert werden.

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Summary The purpose of a Statistical Technology within operations research is demonstrated. It is intended to build up the processing of extensional and intensional statistical informations similar to the principle of component parts.

     

光电跟踪系统稳定精度测试方法研究

针对光电跟踪系统稳定精度测试需求,提出一种稳定精度动态测试方法。该方法基于光学自准直原理,采用面阵CCD探测器,结合图像求取质心算法,实现被测系统的动态测试,通过该装置获得了稳定精度测试结果。结果表明:测试50 rad级两轴两框架系统动态稳定精度,通过该测试方法测出其稳定精度最大为48 rad。     

Visible‐Light‐Promoted C(sp3)−H Alkylation by Intermolecular Charge Transfer: Preparation of Unnatural α‐Amino Acids and Late‐Stage Modification of Peptides

Disclosed herein is the visible‐light‐promoted deaminative C(sp³)?H alkylation of glycine and peptides using Katritzky salts as electrophiles. Simple reaction conditions and excellent functional‐group tolerance provide a general strategy for the efficient preparation of unnatural α‐amino acids and precise modification of peptides with unnatural α‐amino‐acid residues. Mechanistic studies suggest that visible‐light‐promoted intermolecular charge transfer within a glycine–Katritzky salt electron donor‐acceptor (EDA) complex induces a single‐electron transfer process without the assistance of photocatalyst.     

频域光存储中存储密度与读写速率的研究

本文对频域光存储中影响存储密度和读写速率的因素进行探讨,对实现高密度存储和高速数据传输所要求的材料特性和读写条件进行深入的分析,得到的最佳参量空间将为频域光存储的系统研究提供理论依据。     

泥沙输运模拟综述——现状及其发展趋势

随着流体力学中数值方法的飞速发展,计算模型已经成为研究流体运动,泥沙输运和不同环境(诸如河流,湖泊及沿海地区)中相应污染物归趋过程等方面非常有吸引力的工具,在过去的30多年里,发展了许多计算水动力学/泥沙输运模型.文章追溯当前具有代表性的(一维、二维、三维)模型的发展历程,描述他们各自的特点,优势及局限,力图作为对模型方面感兴趣读者的第一指南,同时也为大家讨论模型的局限性,未来的发展趋势和研究需求方面搭建一个平台.给出了模型的表达,时空特性,水动力学和沉积物的耦合方式,处理非恒定流,推移质和悬移质,泥沙交换过程,泥沙类型(粘性或非粘性)及非均匀泥沙输运的能力.总结了不同模型的应用实例,读者可以运用这些例子作为研究模型设置,模型率定及模型验证的参考.给出了选择泥沙输运模型应遵循的原则,模型输入及率定方面存在的问题及改进的途径.探讨了现有水动力学/泥沙输运模型在处理复杂湍流,泥沙携带,流动与输沙耦合,非均匀泥沙,离散和扩散系数,河岸来沙处理等方面的局限性及改进的方向.最后,对基于多相流思想的泥沙输运模型及其它一些交叉性问题作了评述与展望.     

矩形薄板的刚柔耦合动力学系统的建模理论研究

以由中心刚体与柔性板构成的刚柔耦合系统为对象,研究了零次近似模型和耦合模型在动力学方程以及实际计算中表现出来的差异.首先,从连续介质理论出发,在变形位移中,计及了在结构动力学中被忽略的变形位移的附加耦合项,建立了由中心刚体与柔性板构成的刚柔耦合系统的一次近似动力学模型.用一致质量有限元法对柔性板进行离散,基于Jourdain速度变分原理推导出大范围运动为自由的柔性板刚柔耦合动力学连续变分方程.通过数值仿真研究中心刚体和柔性板的大范围运动和变形运动的规律,揭示刚柔耦合动力学性质.通过数值对比,指出了零次近似模型的局限性.