特征方程

The 3D elastic mechanics and finite-element structure analysis priniple were provided.The mechanics characteristics of the three-faced aluminous rotating mirror were analyzed,and the finite-element model was established.

给出了3维弹性力学空间问题基本方程和有限元结构强度分析原理，分析了三面体铝合金转镜空间结构强度的力学特征，建立了有限元模型，分析了其在轴孔与轴的3种配合关系下的应力分布。

In the second part of the paper, the sport techniques of the flight elements was analysised in-depth theoretically by the movement technical structure:①the giant swing was first analysised in mechanics by applying the Kane's method, the dynamic equation of 5-link multi-body model was established, and the computer simulation software of the giant swing on the high bar was developed.

其次，作为单杠上飞行动作系统性研究的另一主要方面，本论文对飞行动作一般技术结构中的各技术环节进行了深入的理论分析：①着重对飞行动作准备阶段的回环运动技术进行了动力学分析，主要采用了多体力学理论中的Kane方法，建立了5环节人体回环运动的动力学方程，并应用计算机数值仿真技术研制开发了用于回环运动动力学分析的数值仿真软件，进而以动作实例对回环运动进行了数值仿真与误差分析，其所得到的数值仿真结果能够满足对人体回环运动的动力学分析和仿真要求；②对于飞行动作的撒手技术环节，本论文从人体环节相对运动角度，来分析撒手时人体质心的运动以及撒手时角动量参数，并列举了几种飞行动作撒手技术的基本力学指标；③关于飞行动作的空中技术，论文在总结了空翻转体动力学机理的研究成果基础上，对人体空中运动定量化问题进行了一般性描述，并进一步应用刚体动力学理论，着重建立起了描述空翻与转体技术之间定量化的关系，讨论了空翻转体运动的稳定性及其运动模式的转换问题，它对于定量地评定空翻转体技术以及今后对空翻转体动作进行数值仿真都具有理论上和实践上的重要意义；④关于飞行动作再握技术环节，本论文避免了以再握瞬时性的力学参数指标来描述再握技术特征的简单化途径，提出以再握下摆与回环下摆相对比的方法来研究再握技术，并以飞行动作再握技术的具体实例进行了对比分析，表明再握下摆技术相比回环下摆技术有着相当的困难性和复杂性，运动员对再握下摆过程中各环节的相对运动实施有效的控制，是连接高难动作以及顺利流畅地完成成套动作的关键。

The results of FT-IR 1H-NMR indicate the structure of polyester, and the 13C-NMR analysis of three quaternary carbon showed the existing of hyperbranched struscture, MALDI-TOF MS showed the hyperbranched polyester structure, the degree of branching of the polyesters determined by 13C-NMR being 0.408. The esterification reaction kinetics followed a second-order equation and the reaction rate was controled by the concemtration of carboxyl group and hydroxyl group,-d/dt=K.

以IR、1H-NMR证实了聚酯结构的存在，13C-NMR谱图上3种季碳的特征峰有力证实了超支化分子结构的存在，MALDI-TOF MS证明了超支化聚酯的成功合成，并计算超支化聚酯的支化度为0.408；探讨并建立了超支化聚酯的缩聚反应动力学方程－d/dt=K，该缩聚反应属于二级反应，反应速率由羟基浓度和羟基浓度共同决定。

A seven-node difference scheme of the diffusion equation was proposed to study the behaviors of transient electromagnetic field in complicated 3-D geoelectric body. Models of roadway and anomaly body were set up for simulating the transient field excited by a vertical magnetic dipole source. The result of numerical simulation shows that the presence of low resistive conductor leads to noticeable distortion of isolines for the "smoke ring" field, whereas the distortion is not so obvious where the roadway and the poor conductor are located.

为了探讨复杂三维地电体中瞬变电磁场的响应特征，推导了三维扩散方程的七点差分格式，建立了巷道和异常体模型，并对垂直磁偶源激发的瞬变场进行了数值模拟，观察到早期&烟圈&场在低阻体处等值线发生的明显畸变，在巷道和高阻体处的畸变较弱，随着时间的增加异常体的影响逐渐减弱。

The scatter point plots show the volatility clustering,therefore we fit the volatility of returns series by the modelling methods in Chapter 3,while fitting the conditional mean equations of returns series with ARMA(1,1) models.

日收益率的散点图显示出波动集聚特征，因此论文分别用第三章介绍建模方法拟合收益率序列的波动，同时用ARMA（1，1）模型拟合收益率序列的条件均值方程。

In this paper, taking nodal injection power and voltage operation curve of PV node as foundation, according to the basic property of numerical characteristics of random variables and relevant equations for probabilistic load flow calculation the expectations of nodal current, reactive power at PV node and power at balancing node as well as computing formula of covariances are derived by different methods; the computation accuracy of various algorithms are compared and analyzed.

文章以节点注入功率和PV节点电压运行曲线为基础，依据随机变量数字特征的基本性质和概率潮流计算的相关方程，分别采用不同的方法推导了节点电流、PV节点的无功功率及平衡节点功率的均值和协方差计算公式，比较和分析了各种算法的计算精度。

Accounting to analyzing the data gathered from animal experiments and analyzing phase diagram, we qualitatively analyzed the equation of model, and got the eigenfunctions.

根据动物实验中采集的数据，利用相图分析方法对模型中的微分方程进行了定性分析。并利用动物实验数据，绘制其相图并拟合出特征曲线。

It is based on the deep understanding of the structure properties of power flow equation.

第六章根据潮流方程的结构特征，提出了一种十分简单有效的邻近潮流解算法。

Are given out, and then a survey and review of the literature up to 1980 is given of the linear theory of the ideal and resistive hydromagnetic instability of tokamak. Some important characteristics of MHD instabilities are discussed in more details. Since sawtooth oscillation is discovered in ST tokamak, many theory models are proposed to explain the disruptive part of sawtooth, however, there is no satisfactory theory of the internal disruption.

本论文对锯齿振荡和L-H转换作了研究，主要开展的工作如下：在论文的开始部分，给出了基本的MHD方程，对至1980年文献水平的托卡马克中理想和电阻性情况下的磁流体不稳定性的线性理论作了简要回顾，讨论了某些重要的不稳定性特征。

The analyticity of the propagators for higher order equations ina Banach space is studied,and a characterization is obtained.

研究Banach空间中高阶方程传播算子的解析性，获得一个特征刻划。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失