半导体中多光子吸收跃迁速率的全量子理论分析

本文从非线性光学中辐射跃迁速率的表达式出发,在全量子理论下,导出了半导体中任意阶多光子吸收跃迁速率的一般表达式。理论分析结果表明,n光子吸收跃迁速率与光强的n次方和n阶光子相干度成正比。本文在多能带及二能带理论模型下,对多光子吸收跃迁速率的一般表达式进行了化简,并对非线性相互作用项对跃迁速率的贡献,作了讨论。     

线性驱动下一级相变的重正化群理论

把重正化群理论应用于一受外场驱动而发生一级相变的系统中，结果表明，与有序化过程一样，该系统也由零温不动点所决定，并得到磁化强度及结构函数的新的动力学标度关系．由此可获得滞后回约面积与变场速率的标度关系．     

Φ12LMQ型钢筋冷拉机原理及主要参数选择

介绍了一种新型钢筋冷拉机的工作原理和主要参数：变形速度Ｖ△Ｌ、单位时间伸长率ε、送进速度Ｖ２、冷拉速度Ｖ１及其之间的关系．这种冷拉机具有生产率高、冷拉质量稳定等特点．     

连铸小方坯的组织与性能研究

The hot cracking of the continuous casting bullit is connected with its macrostructure and mechanical property burnt. The macrostructure and the mechanical property of 0. 13 wt- %C continuous casting bullit was investigated. The results are as follows: 1) the classical representation of the casting bullit shows three distinct zones, a peripherial region of small equiaxed grains, a columnar zone, and a central equiaxed zone. The rapid increase of the under cooling layer thickness is the criterion of the transformation from the columnar zone to central equiaxed zone; 2) The hardness decreases with the reducing of the solidification speed; 3) The tensile strength decreases gradually from the peripherial equiaxed maximum principal strain zone to central equiaxed zone ,and increases with the drop of the temperature.     

Deposition of boron nitride on graphite at 1300 K

A method for the deposition of BN onto graphite and other substrates is described. Boron trichloride (BCl₃) and ammonia (NH₃) diluted with Ar were used as reacting gases. The deposition process was carried out at 1300 K as well as lower temperatures in an open system at pressures of 1 atm. The consequences of the introduction of hydrogen to the system were considered. It was demonstrated that the replacement of argon with hydrogen increases the efficiency of the process as well as the theoretical rate of BN deposition. However, the acceleration of the deposition seems to be unprofitable, because the resulting supersaturation leads to the formation of an amorphous phase. The modification of the experimental conditions were proposed.Dedicated to Professor Dr. rer. nat. Dr. h.c. Hubertus Nickel on the occasion of his 65th birthday     

代谢综合征的流行病学调查与分析

目的：了解20岁以上成年人代谢综合征的发生率；对比分析其相关的危险因素及保护因素。方法：(1)通过1026名20岁以上成人体检，应用修订的代谢综合征的美国诊断标准，凡具备以下5项标准中3项及3项以上，即①体质指数(BMI)≥24，②甘油三酯ρ(TG)≥150mg／dL，③高密度脂蛋白胆固醇ρ(HDL—C)男＜40mg／dL、ρ(HDL—C)女＜50mg／dL，④空腹血糖ρ(FBC)≥110mg／dL，⑤收缩期血压(SBP)≥130mmHg或舒张期血压(DBP)≥85mmHg或SBP／DBP≥130mmHg／85mmHg(1mmHg＝0．133kPa)，诊断为代谢综合征，共检出136名为病例组。(2)从既往无高血压、糖尿病、冠心病及血脂异常史，且本次筛检未纳入代谢综合征的人群中，抽取与病例组性别、年龄相当的136名进行配对调查分析，计算其相关因素的χ^2值、P值、机会比(OR)值，以及机会比值的95％可信限(OR 95％CI)。结果：(1)从1026名中共检出代谢综合征136名，其发生率为13．26％；(2)调查分析发现摄入过量和长时间处于坐位而又缺乏运动两项可能为代谢综合征的危险因素；而运动可能是代谢综合征的保护因素。结论：(1)本次广东地区部分人群筛查20岁以上成人代谢综合征的发生率为13．26％，虽较美国人为低，但中年组为17．48％，老年组高达29．27％，必须引起重视；(2)坚持终身运动和合理膳食可能是预防代谢综合征的切实可行、经济、有效的措施。     

一个数学建模问题的简单解法

银行利率给出了一个简单计算方法 ,这种方法更符合中学生思维的习惯 .     

动态随机弹性在期权定价中的应用

给出动态随机弹性的概念及运算性质,讨论了动态随机弹性在期权定价模型中的应用.主要结果有:(1)在波动率为常数时,期权价格对的弹性,得到了动态随机弹性服从运动,并给出了相应的经济解释;(2)由于波动率一般不是常数,也是随机过程,因此本文进一步研究了期权价格对波动率的弹性,就股票价格的波动情况给出了数学描述和金融意义上的解释.     

Mathematical analysis of investment systems

Investment systems are studied using a framework that emphasize their profiles (the cumulative probability distribution on all the possible percentage gains of trades) and their log return functions (the expected average return per trade in logarithmic scale as a function of the investment size in terms of the percentage of the available capital). The efficiency index for an investment system, defined as the maximum of the log return function, is proposed as a measure to compare investment systems for their intrinsic merit. This efficiency index can be viewed as a generalization of Shannon's information rate for a communication channel. Applications are illustrated.     

Global existence and blow-up of solutions to a parabolic system with nonlocal sources and boundaries

This paper deals with a semi-linear parabolic system with nonlinear nonlocal sources and nonlocal boundaries.By using super-and sub-solution techniques,we first give the sufficient conditions that the classical solution exists globally and blows up in a finite time respectively,and then give the necessary and sufficient conditions that two components u and v blow up simultaneously.Finally,the uniform blow-up profiles in the interior are presented.