求解过程

Enthalpy and control volume method can be used to analyze ice-storage characteristics of tube with inner fin .

采用焓法和控制体积法对圆管内肋片蓄冷器的结冰特性进行分析，引入无量纲参数建立结冰过程的数学模型，并进行数值求解。

A method to get the repulsive force, which is based on Integral Element Equation, is introduced in this paper and the simulation of the process of the mechanism is completed.

本文采用积分方程法，考虑触头回路、栅片对磁场的综合作用，对磁场及电动斥力进行计算分析，并求解运动学及动力学方程，模拟在电动斥力作用下的机构运动过程。

The method based on cylindrical carrier model to use Watson transformation rebuild the path of integration along a steepest descent path on which the integrand decays most rapidly.

该方法根据圆柱载体的特殊结构，利用Watson变换将电场积分路径进行改造，改造后的积分路径缩减了求解电场过程，从而提高了积分计算效率。

The DRDC method has been improved in this paper.8 isometry transforms are added into the calculation of difference matrix of domain blocks and range blocks.The affine transform parameters,produced from the calculation of difference matrix,were used to calculate fractal codes corresponding to range blocks and a set of inference for formula was given.

对DRDC方法进行了改进，在定义域块与值域块的差值矩阵计算中，增加了8种旋转变换，并利用求解差值矩阵过程中产生的仿射变换参数来计算值域块所对应的分形码，并给出公式推导。

By investigating Newton\'s Problem of the Solid of Least Resistance,John Bernoulli\'s Brachystochrone Problem and Jacob Bernoulli\'s Isoperimetric Problem, the physics and Calculus background of the calculus of variations is illustrated,the fundamental thought together with the patterns of solutions are summarized,and the ideas and the interaction of the pioneers,such as the Bernoullis and B.

通过考察牛顿最小阻力体问题、约翰·伯努利最速降线问题和雅可布·伯努利等周问题等问题的提出过程及解决方法，深入探究了变分法诞生的深刻背景，提炼和概括出了伯努利兄弟和泰勒等先驱者解决变分问题的基本思想和求解模式，追溯了其微积分渊源，并分析了三位先驱(来源：ABCbc论文64网www.abclunwen.com)者之间的变分法思想传承及相互影响。3。

To sum up, a non-interior-point smoothing algorithm for solving the complementarity problem is proposed in this dissertation, which outperforms many existing non-interior-point smoothing algorithms in the sense that only one system of linear equations is solved and one linear search needs to be made for the solution at an iteration step.

特别是，本文提出的非内点光滑型牛顿算法在求解上述问题的过程中，在每一个迭代点处只需要解一个线性方程组和做一次线性搜索，比已有文献中的算法具有更大的优越性。

Here the educing process of solving differential equation with Laplace methods is practiced.

这里主要借鉴了用拉普拉斯变换法求解微分方程的推导过程。

The control principle of electrostatic shaping was introduced according to the balance between electrostatic force and resulting force formed by membrane deformation and the complex shaping process of SMEC. Then, taking the trisection circularity electrode for an example, the distribution characteristic of electric potential in the electrostatic field was analyzed, namely, the expression of potential function in the electrostatic field was deduced by Laplacian equation. And then, by combining the difference equation with electric potential expression, the numerical solutions of electrostatic force in single electrode mode and trisection circularity electrode mode were disposed. Finally, the calculated figure was compared with the ideal paraboloid and comparison shows that more accuracy would be achieved by multi-electrode control.

根据静电力与薄膜变形载荷作用力之间的平衡关系和静电拉伸薄膜反射镜成形的复杂过程，介绍了薄膜反射镜静电成形的控制原理；以三等分环状电极为例，分析了静电场中空间电势分布特性，即从拉普拉斯方程推导出静态场势函数的表达式；然后，利用差分与电势方程结合的方法，对单电极电场力和三等分环状电极电场力进行了数值求解；最后，将计算面形与理想抛物面进行了比较，结果显示，单电极情况下得到的薄膜反射镜面形不是理想抛物面，若采用多电极控制可获得更高的控制精度。

The control principle of electrostatic shaping was introduced according to the balance between electrostatic force and resulting force formed by membrane deformation and the complex shaping process of SMEC. Then, taking the trisection circularity electrode for an example, the distribution characteristic of electric potential in the electrostatic field was analyzed, namely, the expression of potential function in the electrostatic field was deduced by Laplacian equation. And then, by combining the difference equation with electric potential expression, the numerical solutions of electrostatic force in single electrode mode and trisection circularity electrode mode were disposed.

根据静电力与薄膜变形载荷作用力之间的平衡关系和静电拉伸薄膜反射镜成形的复杂过程，介绍了薄膜反射镜静电成形的控制原理；以三等分环状电极为例，分析了静电场中空间电势分布特性，即从拉普拉斯方程推导出静态场势函数的表达式；然后，利用差分与电势方程结合的方法，对单电极电场力和三等分环状电极电场力进行了数值求解；最后，将计算面形与理想抛物面进行了比较，结果显示，单电极情况下得到的薄膜反射镜面形不是理想抛物面，若采用多电极控制可获得更高的控制精度。

Because of the chemical systems complication and largeness, there are many influence factors of chemical engineering process. It is hardly to establish completely and strict mechanism model.

由于系统趋于复杂化和大型化，化工过程的影响因素很多，难以建立全面的、严格的机理模型，为此，我们提出了先用神经网络建模，再用遗传算法求解的优化方法。

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。