Variations on a theme: Clifford’s parallelism in elliptic space

In 1873, W. K. Clifford introduced a notion of parallelism in the three-dimensional elliptic space that, quite surprisingly, exhibits almost all properties of Euclidean parallelism in ordinary space. The purpose of this paper is to describe the genesis of this notion in Clifford’s works and to provide a historical analysis of its reception in the investigations of F. Klein, L. Bianchi, G. Fubini, and E. Bortolotti. Special emphasis is placed upon the important role that Clifford’s parallelism played in the development of the theory of connections.     

铸造工艺仿真设计前处理及过程处理应用技术

以应用ProCAST和MAGMAsoft 2款软件为例，针对铸造工艺仿真设计前处理和过程处理每个环节的主要内容与使用方法进行了较为详细地归纳、分析和总结。提出了处理过程的技术路线，并系统地介绍了每项应用内容的操作平台与使用步骤，从而为高效地应用铸造工艺仿真设计提供理论和技术支持。     

Whole genome sequencing as a means to assess pathogenic mutations in medical genetics and cancer

The past decade has seen the emergence of next-generation sequencing (NGS) technologies, which have revolutionized the field of human molecular genetics. With NGS, significant portions of the human genome can now be assessed by direct sequence analysis, highlighting normal and pathological variants of our DNA. Recent advances have also allowed the sequencing of complete genomes, by a method referred to as whole genome sequencing (WGS). In this work, we review the use of WGS in medical genetics, with specific emphasis on the benefits and the disadvantages of this technique for detecting genomic alterations leading to Mendelian human diseases and to cancer.     

A Forward Selection Method on Customer Credit

In this paper, we discuss a selection and evaluation method of customer credit for the commercial bank loans operation, and put forth a forward selection model by optimization techniques. At last, we also give an example to analyze its application.     

Research on Tracing Evaluation System in Virtual Enterprise Based on Neural Network

The tracing evaluation index system was designed to be used in virtual enterprise and established neural network trace evaluation model. As a result, it was more simple and nicer than the traditional method, so it had wider application foreground.     

碳钢在NaHCO3+NaCl溶液中的亚稳态孔蚀特征

用动电位极化和恒电位极化法研究了A3碳钢在不同浓度NaCl的0.5mol/LNaHCO₃溶液中亚稳态孔蚀行为。实验发现亚稳态电流波动峰具有快速上升、缓慢下降的特点。亚稳孔出现电位E_m 服从正态分布,随着Cl^-浓度的提高,E_m 值向负方向移动。亚稳孔的峰频变化规律与电位关系不大。恒电位极化时,当电位高于E_m而大大低于孔蚀电位E_b 时,电流波动保持一定时间后会最终消失,并产生直径为微米级的小蚀孔。当电位接近孔蚀电位时,一段时间的电流波动后电流往往迅速上升,最终转变为稳定蚀孔.     

修配法解装配尺寸链的简易计算

推导出了修配法解装配尺寸链的简易计算公式．使修配法分析计算更为简便，更易于掌握。     

离散边界条件系统的最优控制

研究离散边界条件系统的最优控制问题，给出了最优控制存在的必要条件，证明了此类系统最优控制仍有最大值原理成立。     

关于人体经络的一个试探性观点

在考察针刺穴位治疗作用的基础上，根据现有的实验事实，将人体经络的观念和经改进后的神经-内分泌-免疫系统的观念统一起来，提出人体经络是具有敏感节点和功能连接的神经-内分泌-免疫网络的假说。人体经络的复杂网络不仅是遍及全身的系统，而且可以通过敏感节点及其功能连接对身体起调控作用。     

ON THE COLLISION DETECTION PROBLEM OF TWO MOVING OBJECTS DESCRIBED BY ALGEBRAIC SETS

In this paper, the collision problem of two moving objects is investigated. The objects are described by two algebraic sets （ellipses or circles in the paper）. The collision problem discussed involves both static and dynamic case. The static case is that each object moves with known velocity. We use nonlinear programming to decide whether the objects collide. The dynamic case is that each object is controlled by a constraint external force which can be regulated online. For the dynamic case, the collision problem can be modelled as a Minmax problem which can be solved by using differential games. If collision occurs, the time and place of the first collision are given. The moving trajectories are provided in the paper.