一阶理论

In this paper, based on the invariant subspace theory and adjoint operator concept of linear operator, a new matrix representation method is proposed to calculate the normal forms of n order general nonlinear dynamic systems.

对于 n阶一般的非线性动力系统，根据线性算子的不变子空间理论和共轭算子概念，提出一种计算其规范形的新的矩阵表示方法。

This paper,by means of a new method,the graph theory,reanalyses the stability of antisymmetric discrete Hopfield networks,avoiding the construction of energy function.The nessesary and sufficient conditions for a network to converge to a cycle of length 4 are presented,and the number of cycles of length 4 associated with a p-order antisymmetric discrete Hopfield network is discussed,with some suspicions presented.

本文应用一种新的方法——图论方法重新系统地研究了反对称离散Hopfield网络的稳定性理论，这种方法回避了构造能量函数的麻烦，本文给出了网络收敛于长度为4的环吸引子的充分及必要条件，讨论了p阶反对称离散Hopfield网络含有长度为4的环吸引子的数目，并提出了几个尚待解决的猜想。

Based on the improved first order second moment theory and aimed at the problems of mechanical reliability analysis and mechanical reliability design of single designing variable, this paper put forward a kind of explicit iteration algorithm for computing the structural reliability and determining the designing parameters of structural reliability.

引言改进的一次二阶矩理论是结构可靠性分析和设计的一种实用方法[1]，具有建立结构可靠性分析和设计计算模型简单等优点，在这种方法中，Hasofer和Lind推荐的可靠度指标是定量评估机械可靠性的一种基本参数。

Finally, For the first time, the Ritz variational based mode matching method using new basis functions is proposed to deal with a discontinuity region. The general process to construct the linear equation group is developed, and the equation group's rank is only half of that of the cascading treatment. Thus the efficiency can be increased.

还首次采用新型基函数并利用里兹变分法和模式匹配法提出了构造处理一段不连续性问题的线性方程组的一般理论，方程阶数可比常规的级联处理方法降低一倍，可提高计算效率。

This paper studied a filtering high order numerical method for one dimension constant coefficient hy2 perbolic function. The stability and error analysis show the efficiency of this method. Numerical examples are also given to verify the analysis results.

摘 要 考虑一维常系数双曲型方程的高阶数值解法，引进了一种稳定性过滤算子FN ，最后从理论和数值实验上分析了该过滤算子对数值解稳定性和精度的影响。

Developed two computer software namedSEMA and MMEA, which can calculate the single line mooring force and thestiffness matrix of the whole mooring system. And use these softwares to compute theforce-excursion relationship of a four lines moored Spar platform in different intialhorizontal force conditions, shown the influences of the intial horizontal force to themooring stiffness. 3. The Spar can be simplified as a large diameter, truncated cylinder, we focus onthe diffraction problem in bichromatic incident waves, and the boundary integralequation method is applied.

按照上述理论和方法编制了计算单根系泊索系泊力的SEMA程序和计算系泊刚度的MMEA程序，并利用这两套程序，在不同预张力的初始条件下，对一座四索系泊Spar平台的系泊系统进行了分析，揭示了Spar平台整体系泊力随位移变化的规律， 3、将Spar平台主体简化为大尺度的直立浮动圆柱体，对双频入射波作用下平台主体的绕射问题进行了深入的理论研究，并且采用边界积分方程法，对二阶差频波浪力进行了求解。

In this dissertation, InGaAs/InGaAsP/InP MQW microdisk laser and its characterization were presented. Some conclusions are as following: the characteristics of lasing threshold was discussed by using rate equation. The dependent relations between threshold and cavity volume, spontaneous emission coupling efficiency β were investigated. The whispering gallery mode and spontaneous emission in a microdisk geometry were then studied. Almost all spontaneous emission was coupled into the lowest order TE mode when the normalized thickness of photonics well was between 0.15 and 0.5. The design principle and device process of InGaAs/InGaAsP/InP MQW microdisk laser were presented. The microdisk lasers with the diameter of 8μm, 4. 5μm and 2μm were succesfully fabricated by using etching techniques. The pulse lasing thresholds for the microdisk with the diameter of 8μm and 4. 5μm were 170μW and 15μW, a record results compared with the published in the literature. The cw lasing threshold for a 2-μm-diameter microdisk was only a few μW. We haven't found similar report up to now. To solve the problem of directional output in a microdisk laser, the power coupling efficiency in a double disk geometry was investigated with the theory of waveguide mode couple. A new structure of electrically pumped microdisk laser with output waveguide was designed, making a foundation for the practical use of microdisk laser.

本文主要研究InGaAs/InGaAsP/InP多量子阱半导体碟型激光器的研制和特性表征，并取得如下结果：利用速率方程理论讨论了激光器激射阈值的特性，分析了阈值与腔体积和自发发射耦合系数β之间的关系；讨论了微碟光子阱结构中的自发发射特性和微碟中WGM模式特性；光子阱结构在其归一化厚度在0.15-0.5之间时，几乎全部自发发射进入到最低阶TE模式中；研究了InGaAs/InGaAsP/InP多量子阱微碟激光器的结构设计原理和器件的制备工艺；利用刻蚀方法成功制备出直径分别为8μm、4.5μm、2μm的碟型微腔激光器；直径8μm和4.5μm的微碟脉冲光泵浦激射阈值分别为170μW、15μW，是目前所见文献报导中比较低的；直径2μm的微碟连续光泵浦激射阈值仅几μW，目前尚未见到达到类似结果的研究报导；为解决微碟激光器激射光定向引出的问题，通过波导耦合模理论分析了双层碟之间功率耦合效率；据此设计了新型带耦合输出波导的电泵浦微腔激光器，为进一步研制可实用的电泵浦微腔激光器打下基础。

A theoretical study on mechanism of mass and heat transfer was carried out based on several assumptions, namely one dimensional steady flow and non condensable gas in the air gap.

采用一维定常流动及空气间隙层中不冷凝的假定，对空气隙膜蒸馏系统的传质传热机理进行了理论研究，数学推导中对相关物理量进行了量阶分析，提出小量假设，导出了计算蒸馏通量的理论公式。

The random errors of main factors in flood regulation process are identified; and combining flood forecast, the randomnesses of main parameters such as initial reservoir level, inflow flood, outflow flood, etc., are analyzed. By using the first order second moment method and theoretic distribution, the random distributions of parameters are described then the routing process of a certain preflood limit water level is random, which can well reflect the random preflood influences in actual regulation.

对防洪调度过程各主要相关参数进行了随机误差识别，结合洪水预报对起始水位、人库洪水、泄流等主要参数的随机性进行分析，应用一次二阶矩法和相应的理论分布函数描述事件的随机分布，对应某一汛限水位的调洪过程不再是一确定过程，而是具有随机分布特性，反映了实际防洪调度中各随机因素的影响作用。

In this paper an innovative method for machining sculptured surfaces is presented. By using a disc cutter with a concave end instead of traditional ball-ended or drum-shaped tools, and adjusting the cut- ted axis to swing relative to the component being machined under some special rules, the envelope formed by the trace of the tool-nose may have the same derivative up to the third order as the required theoretical surface.

本文提出了一种加工自由曲面的新方法，即采用中凹的盘形铣刀取代传统的球头或鼓形铣刀，在每一行程中让刀具轴线相对于工件按特定的规律摆动，使得在垂直于进给方向的法截面中，由刀尖轨迹形成的包络面与理论曲面的法截线具有相同的1～3阶导数，从而在保持精度不变的前提下，使实际行程次数得以大幅度的减少。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。