求解过程

Second, according to model characteristic, such as non-linear, non-convex, multiple-peaked and so on, the paper discusses limitation of traditional solving algorithm, such as branch and bound method, GBD method and OA method, puts forward penalty function-makeup integer algorithm and genetic algorithm, analyses procedures of genetic algorithm, such as selection, crossover and mutation, brings forward modifications for specific realized problems of genetic algorithm, such as selection of initial points, operator design, adoptive value adjustment, constraint treatment and so on, and works out correlated solving program.

其次针对该模型非线性、非凸、多峰等特点，讨论了分支定界法、GBD法和OA法等传统求解算法的局限性，提出了罚函数一凑整算法和遗传算法的求解思路，对遗传算法的选择、交叉、变异等过程进行分析，对遗传算法初始点选择、算子设计、适应值调整和约束处理等具体实现问题提出了改进措施，并编制了相关的求解程序。

In chapter four of this paper, based on the theory of chapter two, by applying the oblique elementary of matrix or the second oblique elementary of matrix, the algorithm for solving the greatest common factor is presented. Thus the solving of the greatest common factor becomes fast simple and practical.

在第四章中，以第二章作为理论基础，提供了分别依据第一斜消法、第二斜消法求解最大公因式的算法实现过程(具体为算法1、算法2)，实现了最大公因式求解的计算机编程处理，使多项式组的最大公因式的求解变得快速、简便、实用。

In this approach ,the sketch is designed with simple elements such as points , segments, circles or Child-Graphs which is combination of above simple elements ;geometric elements is designed in sequence can implement the function of unwell defined(less-constrain) parametric design.2Dand 3D constrains is treated consistently.

不同于常见的用底层图元进行设计的二维全约束求解方法，提出并实现了一种基于子图的序列化草图设计方法。使设计者既可用通常的点、线、圆弧等的基本图元，又可用高层的子图设计，可加快设计过程；序列化设计求解方法可实现变量化设计；基于标识的约束模型，使该方法可统一二、三维约束求解。

Its process mathematical description is illustrated through a typical binary distillation column design. Then the framework and strategy of solving the optimal design and control, which involve the solution of mixed integer dynamic optimization, are presented.

以典型二元精馏塔设计为例阐述了其过程系统的数学描述，给出其最优工艺设计和控制设计的求解框架和求解策略，以及其中混合整数动态优化问题的求解方法。

Then the stability solution of the variable cross-section compression bar, that is discribed by a partial differential equation with variable coefficient is transformed into solving a set of algebraic equations established in the subspace.

首先以均匀梁的低阶纵向振动模態函数构成求解子空间，然后在此子空间中把变截面压桿稳定由变系数偏微分方程描述的求解问题转化为非线性代数方程组的求解，从而简化了计算过程。

Aim To study the numerical solving process for the large sparse matrix linear equations. Methods To realize the above aim, program developing language C++, cross list data storage structure, the special method of pivoting and elimination of pivot element were adopted.

大型稀疏矩阵线性化方程组的数值求解问题，广泛存在于工程实践尤其是计算机仿真领域，如水力管网计算 [1] 、电力系统的大型导纳矩阵计算、高阶偏微分方程的数值求解[2 ] 以及铸件充型过程与凝固过程的数值模拟等。

Firstly, system model depicted by TSIOA is transformed into an USTGSS (untimed stable label transition graph of symbolic state) which does not contain abstract time delay transitions. Then, the testing methods based on LTS are used to the generate transition sequences from USTGSS according to structural coverage criteria. Finally, a process of constructing and executing the test cases is given, in which object functions of time delay variables are imported, and time delay variables used in the transition sequences are solved dynamically by linear programming techniques.

该方法首先将时间安全输入/输出自动机描述的系统模型转换为不含抽象时间延迟迁移的稳定符号状态迁移图(untimed stable transition graph of symbolic state，简称USTGSS)；然后采用基于标号迁移系统(labeled transition system，简称LTS)的测试方法来静态生成满足各种结构覆盖标准的包含时间延迟变量迁移动作序列；最后，给出了一个根据迁移动作序列构造和执行测试用例的过程，该过程引入了时间延迟变量目标函数，并采用线性约束求解方法动态求解迁移动作序列中的时间延迟变量。

In this paper, the generator model of constant transient voltage and the invariableness impedance model was used, and the saliency of generator is included; through the analysis of the characteristic of the network equation calculation in the transient stability analysis, a new node ordering algorithm is proposed. Better initial value can accelerate the convergence rate of the networking equations, reduce the number of iterations, thus to cut down the amount of calculating time.

本文首先建立了适合于暂态稳定分析的简单模型，其中发电机采用E_q恒定模型，考虑了发电机的暂态凸极效应，负荷采用恒定阻抗模型；研究了电力系统的暂态稳定分析方法，指出目前数值积分暂态稳定计算方法中存在的不足，主要是网络方程的求解速度过慢；分析了暂态稳定计算中网络方程的特点，将稀疏技术应用于网络方程的求解，提出了一种新的节点编号方法——最小度最小有源节点道路集算法，减少了网络方程的计算量；在进行交替迭代求解时，将预测算法应用于每一积分步网络方程功角和电压的初值估计当中，应用自回归算法和广义延拓算法，期望给出一个更有效的电压和功角初值方案，来加快方程的收敛过程，减少方程迭代的次数，以提高计算速度。

ABSTRACT Based on analyzing thermal process of reheating furnace in Steel Factory of BaoTou Iron and Steel Company.

摘 要：本文是在分析包头钢铁公司的步进式加热炉热过程的基础上，针对其具体情况，建立了加热炉生产热过程中包括辐射换热过程和钢坯加热过程及其耦合过程的热过程数学模型，并对热过程数学模型求解方法进行了研究。

Moldeling and simulation of bubble motion caused by ultrasound using MATLAB The model to describe bubble dynamic motion caused by ultrasound was presented, which included the effects of fluid viscosity, surface tension and vapor pressure of the solvent.

超声空化气泡运动过程模拟及模型的求解建立了超声作用于均相液体中空化泡运动的动力学模型，模型中考虑了液相的动力粘度、表面张力和溶剂的蒸汽压对空化泡运动特性的影响，用MATLAB对建立的普遍化的模型方程进行了数值求解和过程模拟。

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。