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This paper deduces the mathematical model of a single-inverted pendulum system by Lagrange equation and designs its controller by the adaptive fuzzy method, later, combining its model and controller in Matlab simulation and operating it.

根据Lagrange方程建立了单级倒立摆系统的数学模型，利用模糊自适应控制算法设计了倒立摆系统的控制器，并在Matlab的仿真模块中将倒立摆系统的数学模型和控制器结合起来。

Fourthly, this dissertation deduces the response function of money base in open economy and unveils the meanings of the parameters of McCallum rule.

四、推导了在开放经济条件下我国基础货币的反应函数，并揭示了麦卡勒姆规则中各系数的经济含义。

The paper presents the formulation of the inverse kinematics of the 3-RSS/RU parallel mechanism and analyzes the direct solution. It deduces velocity Jacobian matrix. The moment transfer Jacobian matrix is obtained base on the principle of virtual work and simulated the input and output.

本论文首先推导了3-RSS/RU并联机器人的运动学反解方程，并对位置正解进行了分析，推导了速度雅可比矩阵，在此矩阵的基础上，利用虚功原理得到了力矩传递雅可比矩阵，对力矩的输入输出做出了仿真。

In the first part, the thesis firstly constructs the production possibility sets deduced from constant, nonincreasing, nondecreasing and nondetermined returns to scale. Based on the above point, the thesis systematically deduces the models of DEA which evaluate production efficiency for exogenously fixed inputs and the models of ADEA (Allocative Data Envelopement Analysis) which evaluate cost, revenue, profit efficiencies and allocation efficiency in production possibility sets, and then discusses the solution properties of these mathematics models.

在第一部分中，首先以生产规模收益率不变、非增、非减和不确定四种情形下的生产可能集的构成为出发点，系统地归纳出在这四种生产可能集上评价具有固定不变输入或输出生产有效性的DEA模型及其相应情形下评价生产成本、收入、利润和生产配置有效性的ADEA模型，并讨论了这些数学规划模型解的性质。

Secondly, point out that meshless method is different from finite element method in handling boundary condition and numerical integral because the approximation function of meshless method is not inserted function, it have itself special methods. Deduces meshless Galerkin essential equation of parabolic partial differential equation with the method ofweighted residuals------Galerkin. Furthermore, discusses the main factors which may effectthe calculation precision and give some suggestion with which can get the best result.

其次，由于无网格法的近似函数不是插值函数，所以无网格Galerkin法在处理边界条件和对区域积分时是不同于有限元的，它有其独特的处理方法，从加权残量法——Galerkin出发，推导出抛物型偏微分方程无网格Galerkin法的基本方程，并对影响无网格Galerkin法的主要因素进行探讨，给出了取得最佳效果的相应建议。

Finally,the article deduces the foundation of model,the demarcation of parameter and the process of patulous calculate on detail.

文章针对模型的建立、参数标定以及推广计算过程进行了详细的推导，并进行了实例分析。

Utilizing the expression of maximum deviatoric stress yield rule on π plance and the relationship betwen π plane and principal stress this paper deduces and examines the shape and position of maximum deviatoric stress yield rule on π plane and the relation to Mises circle and Tresca hexagon .

利用π平面与主应力空间的关系及最大偏应力屈服准则在π平面上的表达式，推导验证最大偏应力屈服准则在π平面上图形的形状、方位及其与Mises圆和纯拉伸Tresca六边形的关系。

This paper defines the velocity of money and deduces the model of money dynamics, proving that the movement of money has a main circular direction of movement and the nature of continuous media. It also proves the hypothesis that money moves like fluid, proposed by Irving Fisher and Fran? ois Quesnay, thus deducing the model of the cross-border movement of money.

通过定义货币流通速度，推导出货币动力学模型，证明了货币运动有一总的循环运动方向和货币运动具有连续介质特征，也证明了费雪和魁奈等人提出货币运动如同流体的假说，从能量的角度推导出货币跨国运动模型。

The paper prices bond and bond option, analyzing dynamic interest rate, regime-switching and option pricing. According to the affection of regime-switching to interest rate derivative pricing, the paper deduces the partial differential equation of bond pricing with Ito lemma, and obtains characteristic function and recursion equation of bond option.

从利率动态变化、结构转换和期权定价三个方面进行分析，对结构转换下的债券和债券期权进行定价，考虑了结构转换对利率衍生物定价的影响，利用Ito引理获得债券定价的偏微分方程，并得到债券期权定价的特征函数与递归等式。

And in the end this part goes on to a group of women like Reisz, and deduces that the freak women are victims in the male-centered society.

男权社会中像芮芝小姐一样遭到社会排斥从而导致性格扭曲的女性都是受害者。

Objective: To study the effect of polycythemia on blood oxygen saturation.

裴蕾目的：观察RBC剧增而引起的高粘血症对血氧饱和度的影响。

Based on SIMPLER algorithm in the curvilinear body-fitted coordinates, the calculations were performed for Pr=0.7, Re=10~1000 on non-orthogonal non-staggered grids which are generated by elliptic equation systems.

采用曲线坐标系下压力与速度耦合的SIMPLER算法，数值研究了周期性渐扩渐缩波纹通道内脉动流动与换热情况，流动Re数的范围为10~1000，Pr数为0.7。