《组合数学》教学指导

本文主要从组合数学的研究方法及主要内容来介绍组合数学的主要知识点。它包括排列组合的基本计数方法，组合恒等式的证明技巧中常用的公式及其技巧，母函数求特殊容量限制的排列和组合问题，以及利用间接方法来求解计数问题的容斥原理，解决特殊计数的整数分拆，以及如何建立递归关系，用递归关系求母函数的方法，解决存在问题的鸽巢原理及Ramsey的问题，还有集合上等价类计数问题的Polya计数定理应用。     

Development of Postgraduate Education in Chemical Engineering

1 Development of Postgraduate Education There were only 200 postgraduates were honored master degree from the year 1935 to 1949 in old China. While, after the establishment of new China, the postgraduate education has developed in a certain degree, there were 23,000 postgraduates were enrolled from 1950 to 1965, and there were no postgraduates during the period of 1966 to 1977 due to the "culture revolution".     

CHARACTERIZATION OF SOL-GEL-DERIVED ZrO2 FILM BY PHOTOTHERMAL RADIOMETRY

In modern industry,thin film on the substratc has much important role to decide the properties of product, especially for electrical, optical and wear-resistant etc, production. There are some technical methods to prepare thin film,including plasma spray,physical vapor deposition (PVD),chemical vapor deposition (CVD) and sol-gel,etc. Among of them,sol-gel method has been developed a popular tech nique for preparing thin films.     

基于V视差的地形高程栅格图快速构建方法

采用V视差方法对视差图进行预处理,以获取地形的有效重构区域,并避免重构不可通行区域;通过融合惯性测量单元与里程计的数据来更新高程栅格图,并结合中值滤波和邻域栅格滤波来平滑高程栅格图,实现了3维地形高程栅格图的快速构建.结果表明,所用方法具有较好的实时性和准确性,仅需对有效重构区进行地形重构,重构效率较高.     

一种改进的M元扩频通信算法

针对采用码相位循环移位获得的M元扩频需要额外同步信息的问题,提出一种改进型扩频通信算法.该算法采用m序列及其倒序序列构成系统扩频码集;在同相支路上利用扩频码的码极性调制进行传输,同时在正交支路利用扩频码码相位调制,实现M元扩频.该算法利用2种扩频方式的自身特点可快速准确地获取载波相位信息,具有不需要额外提供同步资源的优势.仿真结果表明,该算法可有效提高系统资源的利用率.     

基于地面快速鲁棒特征的智能车全局定位方法

针对目前视觉定位方法大多基于地面语义特征(如车道线、停车线等)容易受到其他地面语义特征(如箭头、斑马线等)的影响,提出了一种基于地面快速鲁棒特征(SURF)点的全局定位方法.该方法首先在鸟瞰图中检测SURF点,结合高精度GPS构建地面SURF地图.然后在此基础上,使用迭代最近点算法,将在线检测结果与地图匹配获得车辆全局定位,并通过扩展卡尔曼滤波将定位结果与惯导和里程计数据进行融合,提高全局定位精度.实验结果表明,所提出的方法可获得分米级定位结果,能满足智能车的定位需求.     

平板流固耦合振动的数值分析

采用了一种基于紧耦合的流固耦合算法,对流场与柔性平板之间的耦合运动进行了数值模拟.流场部分通过有限体积法求解任意拉格朗日 欧拉描述下的不可压缩N-S方程,而结构则由有限元法离散求解拉格朗日坐标下的弹性动力学方程.在一个时间步内,流场与结构计算区域的交界面上进行多次的数据传递和插值,以保证满足耦合面边界条件.计算了在静止流场中弹性板的自由振动和方柱后部平板的涡激振动现象,监测了平板的振幅和频率以及水动力载荷.通过与前人结果的比较,验证了所采用的流固耦合算法的可靠性.同时,分析了不同的材料参数对于平板耦合运动的影响.流体黏性越大对平板振动的阻尼作用越明显,而流体密度的增加会加速振动的衰减,并降低振动的频率.对于具有较低固有频率的结构,在耦合运动中的振动幅度和频率也较小.
     

中英文汽车广告语的语用策略对比研究

汽车产业的迅猛发展使得人们被铺天盖地的各种汽车广告语所包围,其中也包括越来越多的英文广告语,英文广告与中文广告的目的相同,但它们在语言运用的策略上却有所不同,分析它们之间的不同,一方面可以为中国企业做英文广告时提供借鉴,另一方面可以提高受众对广告语的理解水平,获取有价值的信息,实现理性购买。     

Spin-orbit-coupled Bose-Einstein condensates

Spin-orbit (SO) coupling--the interaction between a quantum particle's spin and its momentum--is ubiquitous in physical systems. In condensed matter systems, SO coupling is crucial for the spin-Hall effect and topological insulators; it contributes to the electronic properties of materials such as GaAs, and is important for spintronic devices. Quantum many-body systems of ultracold atoms can be precisely controlled experimentally, and would therefore seem to provide an ideal platform on which to study SO coupling. Although an atom's intrinsic SO coupling affects its electronic structure, it does not lead to coupling between the spin and the centre-of-mass motion of the atom. Here, we engineer SO coupling (with equal Rashba and Dresselhaus strengths) in a neutral atomic Bose-Einstein condensate by dressing two atomic spin states with a pair of lasers. Such coupling has not been realized previously for ultracold atomic gases, or indeed any bosonic system. Furthermore, in the presence of the laser coupling, the interactions between the two dressed atomic spin states are modified, driving a quantum phase transition from a spatially spin-mixed state (lasers off) to a phase-separated state (above a critical laser intensity). We develop a many-body theory that provides quantitative agreement with the observed location of the transition. The engineered SO coupling--equally applicable for bosons and fermions--sets the stage for the realization of topological insulators in fermionic neutral atom systems.