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In this paper, we will discuss the existing condition of the periodic solution of Duffing type equation with damping term. We use homeomorphism and fixed point method to prove the periodic solutions existence. We try to loose its condition, analysis and then get the existing condition of periodic solution according to defining atmospheric dynamics equation.

本文中，我们探讨带阻尼项的Duffing型方程周期解的存在性条件，运用不动点方法和Leray-Schauder度理论来证明其存在周期解，尽可能放宽其约束条件，并针对具体的大气动力学方程，分析并求取其周期解的存在性条件。

Our study showed that povidone-iodine solution as well as sodium hypochlorite solution with the concentration greater than 0.125% was bactericidal. The use of these two antiseptics in the treatment of dermatophytosis complex seems to be promising.

我们研究发现普维酮－碘溶液和次氯酸钠溶液在浓度0.125%以上有杀菌效果，使用它们治疗复杂性足癣霉菌病似乎是大有可为的。

In most situations, the polysome system dynamic equation is the non-linearity the ordinary differential equation or the differential - algebra system of equations, it is generally obtains the equation through the computer value simulation then get the numerical solution, then through to numerical solution analysis, understanding polysome system dynamics characteristic.

多数情况下，多体系统的动力学方程是非线性常微分方程或微分-代数方程组，一般是通过计算机数值仿真得到方程的数值解，然后通过对数值解的分析，了解多体系统的动力学特性。

Secondly, the solution of the dirichlet's problem is given in semiexplicitformula, and under the special case the exact solution is obtained.

文章所论内容属当今数学的前沿问题，文章较好的解决了某些特定情况下的复杂问题，具有较高的理论意义和学术价值。

Secondly,the author puts emphasis on "the simple linear programming"----the teaching design's whole blueprint in high school, the strategy on how to deal with the relation between dual inequality and linear programming; how to establish the linear programming model; the strategy on how to find the optimal solution; the several situations of the optimal solution's positions.

其次重点研究了"高中简单的线性规划"教学设计的总体构想；处理线性规划与二元一次不等式关系的策略；如何建立线性规划模型；线性规划问题中最优解的找法策略，最优解的位置的几种情况。

Some constraints are selected, and omitted according to the most-obtuse-angle principle. The smaller problem is solved with the simplex method. Then the omitted constraints are added to restore the original problem. If all the constraints are satisfied, then a basic optimal solution is reached. In the other case, the dual simplex method is used to obtain the basic optimal solution.

该算法依据最钝角原理略去部分约束得到一个规模较小的子问题，用原始单纯形算法解之；再添加所略去的约束恢复原问题，若此时全部约束条件均满足则已获得一个基本最优解，否则用对偶单纯形算法继续求解。

By using the Euclidean algorithm and invertible linear transformation over an integral ring, the solution of integral indeterminate equations of the first degree was investigated in theory, and its matrix solution based on the elementary matrix transformation was proposed.

用欧几里德算法和整数环上的可逆线性变换，从理论上对整数一次不定方程组的解进行了深入研究，提出了用矩阵的初等变换求解整数一次不定方程组的矩阵解法，并利用MATLAB数学软件开发了相应的计算机程序。

Based on genetic algorithm,a new hybrid coding method using the integer and floating number was presented. The enumerable method guarantees each individual in the population to satisfy the constrains, thus the punishment function was avoided. The two adjustable parameters made the evolution process jump out of the local best solution perfectly.The application of the fitness assignment based on Pareto ranking attained inferior solution set of the multi-objective and multiple options were provided to the decision-maker.

设计了一种新的整数和浮点数结合的编码方式；通过列举法使得每代个体满足约束条件，避免了罚函数的使用；可调整的双参数变异算子使进化过程能够较好地跳出局部最优解；应用基于Pareto排序的适应值分配方式得到目标函数的非劣解集，为决策者提供了多种选择方式。

And also metal material's corrosion form and method of anticorrosion are analyzed. The review still includes water chemistry's function, principle, type and characteristic in utility boiler. And the dissertation's studying direction, content and method are determined against the current existing problem of water chemistry of utility boiler. 2. High temperature potential-pH equilibrium diagram's application and high temperature solution's practical pH calculation The application method of high temperature potential-pH equilibrium diagram and solution's practical pH at high temperature are analyzed and calculated.

本文所做的主要研究工作有：一、火力发电站热力系统防腐综述及论文研究方向与内容在查阅大量国内外文献和资料，并结合多年来工作和研究经验的基础上，对火力发电站热力系统的组成、工作环境、常用金属材料、常见腐蚀形态、常用腐蚀控制方法以及电站锅炉水化学工况的作用、原理、类型与特点等作了全面深入的分析和总结，并针对目前电站锅炉水化学工况应用中存在的问题，提出了本文的研究方向、内容和方法。

To be a contrast, Euler equations were solved in the same condition, and the numerical experiments demonstrated that for such strongly unsteady flows with a high Reynold number, the Euler solution is comparable to the N-S solution.

在同样计算条件下采用Euler方程进行对比性研究，数值实验发现对这类大雷诺数、强非定常性的问题，Euler方程和N-S方程得到的结果相差不大。

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。