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Starting with properties of cubic parabola, it is demonstrated elementarily that solving elliptic equations using Jacobian elliptic functions, analytic solutions for a class of nonlinear wave equations and properties of nonlinear waves can be obtained, especially for solitary waves.

从立方抛物线的特性谈起，用较初浅的方法，借助于雅可比椭圆函数求椭圆方程的解，说明一类非线性波方程可用行波法求解析解。

This curriculum primary coverage includes: Function and limit, a circular function derivative and differential, theorem of mean and derivative application, indefinite integral, definite integral, definite integral application, space analytic geometry and vector algebra, function of many variables differential method and application, multiple integral, curvilinear integral and surface integral, infinite series, differential equation.

该课程的主要内容有：函数与极限，一元函数的导数与微分，中值定理与导数的应用，不定积分，定积分，定积分的应用，空间解析几何和向量代数，多元函数微分法及其应用，重积分，曲线积分与曲面积分，无穷级数，微分方程。

This research has used research techniques and so on literature analytic method, interview law, questionnaire survey procedure, cut-and-try method, the data analysis and the experimental result indicated that, the experience type study theory took one kind emphasized specially experience the new teaching theory, suits specially in music this kind of art class teaching activity.

本研究采用了文献分析法、访谈法、问卷调查法、实验法等研究方法，数据分析与实验结果表明，体验式学习理论作为一种特别强调体验活动的新的教学理论，特别适合于艺术类教学活动。

This article through the cut-and-try method, the literature law, the data method of average, the comparison analytic method, the method of inspection studies the discussion feedback teaching method application in the high school basketball teaching to aspect and so on student movement technology, skill influences as well as in the teaching feasibility and the main teaching superiority.

摘 要：本文通过实验法，文献法，数据统计法，对照分析法，观察法来研究探讨反馈教学法应用在高中篮球教学中对学生运动技术、技能等方面的影响以及在教学中的可行性和主要教学优势。

A novel assessment method for green lighting product is provided in this paper, which is developed on the basis of life cycle assessment and the analytic hierarchy process.

从绿色设计出发，根据生命周期评价方法和层次分析法，建立了一种新颖的绿色照明产品的评价方

Based on the analytic method of cyclic spectrum density, the paper pointed out that the impact frequency could be extracted effectively with the help of scanning cyclic frequency domain.

通过对循环谱密度分析方法的特性分析，指出应用循环谱密度分析方法可以在循环频率域有效提取出滚动轴承的冲击故障频率。

The governing equation of in-plane vibration of cable-restraint system is derived by means of D'Alembert principle, and then those partial differential equations are transformed into a set of ordinary differential equations by Garlerkin method. The method of Runge-Kutta integration is applied to solve the equation. The simulation analysis is made to prove that this vibration control has obvious damping effects and then the influence of cable tension, support mass, natural frequency and spring stiffness on the damping are discussed. Eventually, the approximate analytic solution of the optimum damping parameter is obtained to provide a simple and effective reference and design method for the engineers.

通过D'Alembert原理建立拉索－弹性约束系统振动方程，通过Galerkin方法将偏微分方程转化为常微分方程，应用龙格－库塔积分法求解方程；经过仿真分析，验证了该振动控制具有明显的减振效果，并且讨论了初始拉力、支座质量、振动频率及弹簧刚度对减振效果的影响；最后给出了计算最优阻尼参数的近似解析式，为工程师提供了简便有效的参考依据及设计方法。

Based on the principle of the analytic hierarchy process, under the condition of the given pairwise comparison judgment matrix of the decision maker, a new method to determine the decision maker's priority vector for the comparison objects, called chain comparison method, is proposed with a numerical example illustrating its applicability.

基于层次分析法(analytic hierarchy process， AHP)的基本原理，在假定决策者两两比较判断矩阵已知的情况下，提出了一种根据两两比较判断矩阵确定决策者对决策对象的综合决策权重向量的新方法―链比较法，并用一个数值例示进行了说明。

Moreover, analytic hierarchy process are used to determine a priority vector in the evaluation of customer satisfaction indices, and the scales, the computation of a priority vector, group decision, the consistency test and adjustment of a judgment matrix in AHP are studied and improved.

顾客满意度指数测评时，用层次分析法确定权重，对层次分析法的标度、权重计算、群决策、判断矩阵的一致性检验与修正5方面进行了研究与改进。

In Chapter 2, we mainly study the exact inversion and approximate inversion of the exponential Radon transform, and obtain the Sobolev analytic results; for convenience of practical calculation, we establish the another form of reconstruction formula through harmonic decomposition.

第二章我们主要讨论平面上的指数型Radon变换的精确反演和近似反演，得到了它们的有关Sobolev分析结果；为了实际计算的方便，我们用调和分解法作了进一步讨论，得到了重构公式的另一种表达形式。

The work of this paper is as follows: 1. Looking back the progressing history of the linear motor, introducing the features of the elevator driven by linear induction motor, radicating the topic of this paper "the digital frequency variable control of the elevator bi-side direct driven by linear induction motor". The research of this paper covers the conventional VVVF control, space vector based VVVF control, vector control and DTC.

本文主要开展了以下几个方面的工作： 1 回顾了直线电机发展历史，电机的驱动技术演变，特别是针对直线电机的驱动，简要介绍了直线感应电机驱动电梯的优点和不同结构类型，对传统的v／f控制，基于空间矢量法的v／f控制，矢量控制，和基于电压空间矢量的直接转矩控制进行了比较，确立了本课题的研究主题：直线感应电机双边直推式驱动电梯的全数字变频控制。

The article combines with the treatment of a superficial civil air defense work to introduce how the grouting method to improve the performance of the backfill soil.

文章从治理漂浮人防工事的角度提出了注浆技术在改善回填土性质方面的应用，并详细阐述了注浆技术的施工流程。