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Based on the properties of miniature PSA oxygen production and a linear driving force approximation, a mathematical model for PSA processes of a Special Miniature Oxygen Concentrator is developed in this paper. The boundary and initial conditions for the model are analyzed and determined, and the finite difference method is applied to solve the partial differential equations.

基于微型变压吸附氧氮分离过程的特点和线性推动力模型，建立了描述该过程的数学模型，给出了求解的边界条件和初始条件，采用有限差分法对模型进行了求解。

Based on the properties of miniature PSA oxygen production and a linear driving force approximation,a mathematical model for PSA processes of a Special Miniature Oxygen Concentrator is developed in this paper.

所建立的数学模型可以较为准确地模拟微型变压吸附条件下的氧氮分离过程，为深入研究SARS患者专用PSA制氧机及其吸附器结构优化打下了基础

Directly from the theory of Kirchhoff diffraction, without any approximation about mathematical models, a series of improved digital calculation ways are used to ensure the high accuracy of OTF calculation.

直接从基尔霍夫衍射积分理论出发，在数学模型上考虑了瞳面振幅分布的不均匀性和倾斜因子，并采取一系列改进数值计算方法的措施，力求光学传递函数计算的高精度。

With mathematical transformation and approximation, the differential equation of the minority carrier density in a textured cell takes the same form as the flat cell.

而对绒面结构太阳电池的内量子效率和物理参数关系的理论推导，通过数学变换和高阶近似后所得结果，可归结为与平带同质结相同的形式。

With mathematical transformation and approximation, the differential equation of the minority carrier density in a textured cell takes the same form as the fiat cell.

而对绒面结构太阳电池的内量子效率和物理参数关系的理论推导，通过数学变换和高阶近似后所得结果，可归结为与平带同质结相同的形式。

In this paper, a fluid dynamics model of hydaulicline including frequency-dependent friction is developed andits approaximate expression is got. Two mathematical treat-ments for the approximation are considered.

l引言 由于在液压系统动力学中，液压管道的动力响应有重要影响，所以建立管道的动态模型，特别是准确反映液压管道内各变量间传递关系的分布参数模型，就成为一个重要问题。

CNC machine only to the general linear and circular interpolation, and other curves (such as becoming more open lines) with mathematical method linear and circular approximation, linear and circular interpolation can be special machine outside the curve.

一般数控机床仅对圆弧和直线插补，其它曲线用数学方法，采用直线和圆弧逼近，特殊机床可插补直线和圆弧外的曲线。

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。

According to the robust control H2 optimal performance specification, the practically desired diagonal elements of the system transfer matrix are suggested, and in view of the coupling action existing between the two closed loops, dynamic detuning factors are introduced to design the optimal double-loop controllers, and their executable PI/PID forms are derived using a mathematical rational approximation approach.

根据鲁棒控制H2最优性能指标，提出实际期望实现的系统传函矩阵中的对角元。考虑到两个闭环之间的耦合作用，引入动态解调因子设计最优双回路控制器，采用数学有理逼近的方法得到其实际可执行的PI/PID形式。

The technique gives analytical formulae for the noise performance of inductively degenerated CMOS low noise amplifier circuits with an ideal gate inductor for a fixed bias voltage and nonideal gate inductor for a fixed power dissipation, respectively, by mathematical analysis and reasonable approximation methods.

针对定偏置电压下理想栅电感和定功耗下的非理想栅电感两种情形，利用数学分析和合理的近似方法分别进行了详细的讨论，给出了简洁而有效的分析设计公式。

For the head-teacher of the class said that I had seriously broken the school rules,which led me to a three-day suspend class.

为什么呢？因为我的班主任说我严重的违反了校规，于是让我停课三天。

Many of them believe that the conversion of thousands of working-class folk in England spared that nation from the mass carnage and the tyranny that came with the revolution in France.

他们之中有许多人相信，在英国数以千计的劳工阶级之悔改信主使英国免於遭受如法国大革命所造成的大屠杀和专制暴政。