近似法

The averaging method is used to analyze this model, the phase diagrams and the time history curve of this system are achieved, the results show that its movement converges to a limit circle oscillation. It demonstrates that the results obtained by the averaging method coincide with those by experiment well.

利用平均法对系统进行了近似求解，得到了系统的运动相图及时间历程曲线，结果表明系统运动收敛于稳定的极限环，所得结果与实验吻合得较好。

A similar normal state method of system reliability evaluation is presented based on the centre limit theorem of mathematical statistical theory.

基于数理统计理论中的中心极限定理，提出了一种适用于系统可靠性评定的近似正态法。

The success of the delta method depends on the linear approximation of the thermal drift, which must be viewed over a short period.

Delta法的成功与否决定于热漂移的线性近似情况，所以必须在较短的时间期间内进行。

From recording curves and experimental data treated by linear approximation of single specimen, it was shown that the test was successful and the measuring method can be used as reference for fatigue tests of the real components.

由记录曲线以及对测定数据作简单的单试样法线性近似处理的结果表明，试验是成功的。本文的测试方法也可用於实际构件疲劳试验。

On the basis of introducing the fixed point of Banach theorem, this paper firstly elaborates the important application of the existence of the solution of the linear algebraic equation and the ordinary differential equation, then it narrates the important application of obtaining the leading Newton repetitive process and the natural number the inferior square root and the equation root in the approximate calculation.

本文在介绍Banach不动点定理的基础上，首先阐述了其在线形代数方程、常微分方程解的存在性中的重要应用；然后讲述了其在求导Newton迭代法、求自然数的次平方根、求方程根的近似计算中的重要应用；最后，介绍了其在求一类递推数列极限中的应用。

In theory, the one-dimensional nonlinear longitudinal wave equations are deduced and the approximate analytical solutions are received.

理论上利用摄动法推导了一维非线性纵波方程的近似解析解。

Based on the analysis of some aspects, such as the approximative algorithm of FOC, the Tustin transform theory and its generating function formula's character, the convergence guarantee of binomial power function by Maclaurin expanding, and the consideration of the limitation of conventional methods, an improved method is proposed to compute the numerical evalution of FOC using PSE and Tustin transform and is further applied to solving the linear FOS.

以分数阶算子近似方法的分析研究为基础，基于Tustin变换理论及其用于分数阶算子的离散生成函数公式特点，利用二项式幂函数的Maclaurin展开能够保证收敛的特性，考虑常用算法的局限性，提出了一种改进的基于幂级数展开和Tustin变换的分数阶运算方法，并应用于线性分数阶系统的求解，给出了递推算法的详细推导。

The paper analyses material transportation problem and give the solvable methods; analyses delivery vehicle route problem, and then construct its corresponding mathematical model and present a heuristic algorithm based on C—W algorithm; analyses the optimum scheduling problem of trucks, and then construct its corresponding mathematical model and put forward a new algorithm; analyses the Postal Transportation Problem which will perhaps be used in supply chain of manufacturing system, and then construct its corresponding mathematical model and present an approximation algorithm.

分析了制造系统供应链中供需平衡、供需不平衡、有转运等各种情况下的物资调运问题，给出了求解方法；分析了制造系统供应链配送作业中的配送车辆路线问题，建立了相应的数学模型，提出了一种基于C-W算法的启发式算法，该算法较好地解决了有时间约束的配送问题；分析了制造系统供应链中的货运卡车优化调度问题，建立了相应的数学模型，提出了一种基于表上作业法的求解算法；分析了制造系统供应链中有潜在利用价值的邮政运输方式问题，在详细描述了该问题的基础上，建立了相应的数学模型，提出了一种近似求解算法，该算法较好地解决了邮政运输方式这样的多种物流、多种运输方式，有严格时限和众多外部约束的特大型、复杂、并行的交连系统的计划调度问题。

In order to solve the linear strong parametrical excitation equation, the method for solving strong parametrical excitation Mathieu equation is brought out. With the introduction of a new conversion, the strong parametrical excitation problem is converted to weak parametrical excitation problem. The second order approximate periodic solutions are obtained and the transition curves are gained by using a modified strained parametrical method.

为适应求解垂荡与纵摇耦合运动的线性强参数激励方程，提出了强参数激励Mathieu方程的求解方法，通过引入新的变换，将强参数激励问题转化为弱参数激励问题，应用改进的变形参数法求其二阶近似周期解和过渡曲线。

DRBEM requires inversion of a matrix formed by approximation function, which makes this method inefficient for large problem.

在双互易边界元法中需要对由近似函数形成的矩阵求逆，这在计算大型的实际工程问题是很费时的。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。