求解过程

Under reservoir condition, oil-water two-phase flow in porous rocks is the most common fluid movement pattern.

在电缆地层测试器的测量过程中，油水两相共渗的情况普遍存在，此时其测量过程的数学模型是非线性的耦合场问题，无法用解析方法求解。

Passivating electrolyte is taken into account. A mathematical model is presented to illustrate how the machined profile evolves as time elapses. Its numerical analysis and the results of experiment show the actual machining process accords well with mathematical model.

首先建立了反映实际加工过程的数学模型，并考虑非线性电解液的影响，利用参数化有限元分析技术对其蚀除过程进行模拟和数值求解，同时进行了相应的试验验证，试验结果显示，模拟蚀除的深度和直径与实际加工的深度和直径相符。

In chapter three, with the effective combination of the prior preference, posterior preference and interactive method, and based on the theory of satisficing decision making and goal programming, an interactive method for solving static or dynamic multicriteria programming is devised. In the method, by constructing the simplexes in the set of parameters and transforming them, the local preference information is interactively quested in th process of decision making. The prior and posterior preference are used to speed up the process of decision making and overcome the false convergency which may be occured in pure interactive algorithms. This method can be used to cope with linear, nonlinear and dynamic multicritcria programming.

在第3章多目标数学规划的参数单纯形方法中，通过多目标数学规划的验先偏好方法，交互式方式与验后偏好方法的有效组合，在满意决策和目标规划的理论基础上提出了一种求解多目标静态及动态规划的交互式方法，该方法通过在参数集中构造单纯形并进行其变换，在决策过程中交互地索取决策者的局部偏好信息，并利用决策者的验先偏好来提高决策过程进行的速度，及利用决策者的验后偏好来克服纯交互式算法中可能出现的假收敛现象。

Chapter Eight concludes the achievement of this dissertation, and some problems will be answered through more discussions. To sum up, this dissertation argues that Liber Abaci has three kinds of features, i.e., a rich content Mathematic, a variety of mathematics cultural exchange, and the dissemination diversify.

斐波那契注重问题求解，以设计出尽量简单的算法求出解答为目标，利用欧几里得《原本》定理进行几何证明代数方法合理性的过程中，不追求逻辑论证的完美，而是凭藉巧妙的几何图形构造，简化计算过程，从而得到问题的解答。

According to the experimental results the reaction mechanism of gasification is proposed: firstly, the catalyst releases an oxygen atom from its rich-oxygen site to combine with a carbon atom and create a CO, then the CO molecule desorbs from the catalyst surface; next, the catalyst absorbs a CO2 molecule; and finally on the catalyst surface another CO molecule is created and the original rich-oxygen site gets an oxygen atom. On the basis of gasification process the material balance equations were built, which were solved by using numerrical integral methods and the reaction rate constants for four steps were obtained: they are 0.0703mol·g-1·min-1·kPa-1, 0.0959mol·g-1·min-1·kPa-1, 0.00539 mol·g-1·min-1 and 0.0321 mol·g-1·min-1·kPa-1 respectively.

根据实验结果推导得出了该反应过程是催化剂表面富氧活性部位先与煤焦反应生成一个CO分子，然后此CO分子从催化剂表面脱附，接着催化剂吸附气态的CO2生成一个CO并且夺得一个氧原子实现自身还原的过程，在此基础上建立了煤的催化气化的物料平衡方程组，对各步骤的反应速率常数进行了求解，在本文采用的实验条件下，各反应步骤的反应速率常数分别为0.0703 mol·g-1·min-1·kPa-1；0.0959 mol·g-1·min-1·kPa-1；0.00539 mol·g-1·min-1·kPa-1； 0.0321mol·g-1·min-1·kPa-1。

This study examines the drying characteristics of China fir wood bunch in high temperature and the functions of v...

本文较系统全面地研究了杉木木束在高温干燥过程中的干燥特性，分析了各因素对干燥效益和能耗的影响，尤其是研究了木束内部水分迁移和热量传导过程的规律，建立并求解了传热传质的数学模型，为确定木束干燥生产的工艺参数及控制方案提供了理论依据。

Contact-state recognition takes a great role in robotic assembly manipulation. After modeling the force-sensing uncertainties and approximating the Coulomb friction cone with polyhedral cone, a linear programming procedure is formulated to test the feasibility of an assumed contact state.

对装配操作中接触状态的转移过程及其实现进行了分析，建立了接触约束网络图的构造过程，提出了操作中接触状态路径的规划算法以及接触状态改变与转移的机器人有关运动参数的求解方法及其优化指标。

Since the initial start of buried pipelines results in three-dimen-sional unstable heat transmission , and at initial start the temperature change of the soil around a pipeline is affected by the temperature inside the pipeline and the ground surface temperature annual fluctuation, the differential equation for heat transmission and the boundary value may be line...

埋地输油管道启输过程是三维非稳定传热问题，启输过程中管周土壤温度场的变化受管内热水温度和启输前地表面温度年波幅的影响，可将传热微分方程和边值条件线性组合成两个定解问题，用电子计算机进行数值求解，得出计算公式，以确定预热阶段管路任一点任一时刻的热水介质温度。

In order to deeply reveal the smoothing mechanism of roller burnishing and to overcome the difficulty in the selection of the burnishing cross feed dependent mainly upon experiences and hand feel, the roller burnishing process is taken as an issue of plane-strain mechanics and the micro-plastic deformation area is determined on the basis of the Von-Mises yield criterion and by using the Boussinesq-Flamant solution. Then, the contact pressure distribution is obtained based on the Hertz contact theory, and the stress distributions in the burnishing tool and the workpiece are respectively revealed.

为深入了解滚柱滚压表面光整机理，解决目前滚压量选择完全凭经验和手感的不足，将滚柱滚压加工过程视为平面应变力学情形，利用Boussinesq-Flamant问题的求解并根据Von-Mises屈服准则得出了滚压局部发生微塑性变形的区域，根据Hertz接触理论得出了滚压接触压力分布及滚压过程中工件和工具的应力分布。

According to the principles of tooth meshing and manufacturing helicoi ds, a mathematics model is constructed to reflect the manufacture process of nut , and the formula of the grinding wheel section is developed. The parameters of the section are obtained through numeral arithmetic; moreover the parameters of the dresser are worked out. Based on these work, the solid model of the ball scr ew nut, grinding wheel and tooth dresser are developed in the Pro/E software, wh at's more, the process of the dressing...

根据螺旋面加工原理、齿形啮合原理及回转面砂轮加工螺母工艺建立了相应的数学模型，并推导出砂轮截形的计算公式；采用数值计算方法求解砂轮截形参数，进一步得到修整器靠模板的参数；在此基础上，利用Pro/E软件对大导程滚珠丝杠螺母、砂轮和砂轮修整器进行了实体建模，并对砂轮的修整过程和螺母的加工过程进行了运动仿真，有效地验证了砂轮截形的计算结果。

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。