Kinetic analysis of self-condensing vinyl polymerization with unequal reactivities

The distribution function of the hyperbranched polymers formed from the self-condensing vinyl polymerization with unequal reactivities was derived and the differential equations for the second moments are established, based on the variable of the conversion of B^＊ groups. The various average degrees of branching can be designed by suitable values of reactivities ratio （r） and the conversion of A group （x）. In order to reach the maximum degree of branching at a specified x, r needed is dependant on the value of x. The higher the x, the less the r needed is for the maximum value of degree of branching. At the end of the reaction, the maximum degree of branching reaches 0.5 with r=2.59.     

关于三维和三维正态分布随机变量在原点型区域内的概率估计

在任意区域上计算二维和三维正态分布随机量的概率是相当繁难的。本文利用区域变换法对原点型区域(即包含坐标原点的域)上如何简便有效地近似计算正态随机量的概率这一问题进行了探索,给出了若干估计方法和近似计算的公式以及相应的误差界。本文主要定理是定理2.1和定理3.1。     

旋涡星系旋臂的准确图样

根据已导出的旋涡星系扰动引力势的一般形式解,考虑在无限薄盘(α→∞)的情况下,作旋臂图样曲线.适当地调节参量Ω_P 和 B(m,n),计算得到的理论曲线与实际观测到的旋臂符合较好.克服了由林家翘理论作出的旋臂图样与实际旋臂有时相差甚远的问题,并利用星系 M_(51)的旋臂作了这2个理论的比较.     

Probabilistic D-Clustering

We present a new iterative method for probabilistic clustering of data. Given clusters, their centers and the distances of data points from these centers, the probability of cluster membership at any point is assumed inversely proportional to the distance from (the center of) the cluster in question. This assumption is our working principle. The method is a generalization, to several centers, of theWeiszfeld method for solving the Fermat–Weber location problem. At each iteration, the distances (Euclidean, Mahalanobis, etc.) from the cluster centers are computed for all data points, and the centers are updated as convex combinations of these points, with weights determined by the above principle. Computations stop when the centers stop moving.     

Number crunching vs. number theory: computers and FLT,from Kummer to SWAC (1850–1960), and beyond

The present article discusses the computational tools (both conceptual and material) used in various attempts to deal with individual cases of FLT, as well as the changing historical contexts in which these tools were developed and used, and affected research. It also explores the changing conceptions about the role of computations within the overall disciplinary picture of number theory, how they influenced research on the theorem, and the kinds of general insights thus achieved. After an overview of Kummer’s contributions and its immediate influence, I present work that favored intensive computations of particular cases of FLT as a legitimate, fruitful, and worth-pursuing number-theoretical endeavor, and that were part of a coherent and active, but essentially low-profile tradition within nineteenth century number theory. This work was related to table making activity that was encouraged by institutions and individuals whose motivations came mainly from applied mathematics, astronomy, and engineering, and seldom from number theory proper. A main section of the article is devoted to the fruitful collaboration between Harry S. Vandiver and Emma and Dick Lehmer. I show how their early work led to the hesitant introduction of electronic computers for research related with FLT. Their joint work became a milestone for computer-assisted activity in number theory at large.     

一种大功率连续波磁控管的高频电磁场与热应力场耦合分析

本文发展一种应用于大功率连续波磁控管腔体的高频电磁场-热应力场耦合分析方法。首先,采用等效电路理论与数值仿真方法研究一种大功率连续波磁控管谐振系统在无隔模带、单环隔模带和双环隔模带情形下的工作模式、谐振频率和品质因数的内在关系;其次,对扇形和扇槽形阳极叶片的温度分布进行理论推导。研究发现,隔模带能够提高谐振系统的模式分隔能力,但也会增大损耗、降低品质因数;再者,通过对比不同冷却条件下谐振系统的热应力、形变、温度和谐振频率,设计出满足30kW连续波输出磁控管散热的冷却水路和相匹配的冷却条件;最后,结合二者得到阳极叶片温度与π工作模式谐振频率间的对应关系并给出磁控管的热漂移曲线。     

功率分流式混合动力系统结构优化与性能验证

对某具有双行星排的功率分流式混合动力系统进行了结构优化,并对优化后的系统进行运动学、动力学和效率分析,随后介绍了系统的工作模式及特点.基于Matlab/Simulink与LMS AMESim软件建立联合仿真平台,进行整车性能仿真.结果表明,整车能量消耗和动力性能均得到改善.纯电动模式下,城市工况(UDC)整车电能消耗降低8%;混动模式下,新欧洲行驶工况(NEDC)整车油耗降低6%.纯电动模式最高车速从110 km·h~(-1)增加到160 km·h~(-1).混动模式0～100 km·h~(-1)加速时间从14.5 s减少到10.0 s.     

山东省近海主要海洋捕捞经济鱼类资源变动分析

根据山东省1996—2017年渔业统计数据,对山东省11种主要经济海洋鱼类捕捞量的变动与鱼种结构进行分析,并结合捕捞方式,讨论4个优势种捕捞量变化的原因。结果表明:山东近海主要经济鱼类的捕捞总量在1996—1999年保持增长态势,之后下降明显;鱼种结构的多样性与均匀性不断增加;经多年捕捞利用,蓝点马鲛、带鱼衰退明显,个体趋于小型化;鳀鱼在2003年以后虽然出现衰退现象,但生殖力明显增大。总之,山东近海主要经济鱼类资源总量整体呈下降趋势,蓝点马鲛、带鱼、鳀鱼仍处于衰退状态,需要加强保护。     

宫颈HPV感染与宫颈瘤样病变的相关性

为了研究湘西地区妇女宫颈人乳头瘤病毒（HPV）感染与宫颈瘤样病变的相关性,为宫颈癌的早期预防提供科学参考,选取692例湘西籍患者为研究对象,所有患者均行宫颈HPV检测,以其中HPV检查结果阳性的234例患者作为观察组,阴性的234例患者作为对照组,均在阴道镜监视下进行宫颈多点活检及宫颈管搔刮病理学检查,病理检测结果分为癌前病变（CINⅠ,Ⅱ,Ⅲ）、宫颈癌、慢性宫颈炎.结果显示：湘西地区女性中HPV感染以HPV16（25.64%）类型最多,其余依次为HPV52,HPV51,HPV58,HPV18,HPV53为常见;CIN的加重程度随HPV感染率升高,CINⅠ,Ⅱ,Ⅲ两两比较差异具有统计意义;HPV阳性率为33.81%,HR-HPV（+）31.74%,其中单一感染HR-HPV（+）21.97%,双重或多重感染11.99%,LR-HPV（+）感染1.88%.说明在宫颈癌的筛查中高危HPV检查具有临床价值,多途径切断高危HPV感染对本地区妇女宫颈癌的一级预防具有重要意义.