求解过程

Using the method we calculate the 〓 elasticdifferential scattering cross section, excitation differential scattering crosssection, and excitation cross section of electron collision with 〓 We transform the electron and molecule problem into electron problemby Born-Oppenheimer approximate. Mr Rossi, Dr. the Flinders University ofSouth Australia, calculated electron collision with molecule, but theexchange term he used become bigger and bigger as incident energyincreases, it is unreasonable, besides, the potential of electron and nucleus heused is somewhat rough. At present we correct these two terms. The potentialconsists of static potential, exchange potential, polarization potential.

电子与分子的碰撞过程的相互作用势主要是由静态势、交换势和极化势三部分决定的，这里对这三部分在动量空间中进行分波展开，推导出易于计算的表达形式，根据这些公式，并参考Rossi的弹性碰撞程序编写了计算电子与分子碰撞激发截面的程序，利用程序计算出势能矩阵元，通过求解Lippmann-Schwinger方程求得T矩阵元，便可求得散射截面。

It is unnecessary to find the solutions of Diophantine Equation and identify the extra auxiliary parameters.

一种方式是间接方法，先估计过程模型参数，再通过求解Diophantine方程得到控制参数［1］。

A nonlinear predictive functional control algorithm using Hammerstein models has been developed. The characteristic of this strategy does not need nonlinear optimization that is replaced with linear optimization. Prediction of process output is calculated directly by parameters of model and does not require solving the Diophantine equation.

本文提出了基于Hammerstein模型的非线性预测函数控制，该算法的特点只需进行线性寻优而不需要进行非线性优化，同时过程的预测输出只需应用模型参数直接计算得到而不需要求解Diophantine方程。

The controller's parameters were identified directly without solving the Diophantine equation or the inverse of matrices, and the online computing time was shortened, which makes the approach be very suitable for the fast rolling process.

采用对模型要求宽松的广义预测控制方法，基于广义误差估计值对控制器参数进行自适应调整，直接辨识控制律参数，省略Diophantine方程的求解、矩阵的求逆，缩短在线计算的时间，适用于快速的轧钢过程。

In this paper, a Robust Discrete Optimization model of elevator group control system is presented for dealing with the uncertainty in elevator traffic flow and computational complexity in scheduling. Based on RDO theory, we propose a new elevator group scheduling Algorithm. Comparison is carried between the RDO algorithm and other scheduling algorithms under the virtual simulation platform of elevator group scheduling.

针对电梯群控调度过程中交通流的不确定性和优化求解复杂性问题，本文通过建立电梯群控调度系统的鲁棒离散优化模型，实现了一种基于鲁棒离散优化理论的新的电梯群控优化调度算法。

It is a heuristic algorithm that can be used to solve discrete optimization problems.

模拟退火法的构想源於金属冷却结晶的过程，是一种常用於求解最佳化问题的启发式演算法。

The Mixed Discrete variable Complex Programming method is used to solute the mathematical model of oil pipeline.

该方法可以根据所求解问题的规模、目标函数和约束函数的形态和复杂程度，在运算过程中对所输出的信息进行人工干预或改变计算策略，把程序的机械运行和使用者的智慧融合在一起，有效灵活地解决离散变量约束非线性

At the same time, the effect of deterministic disturbances can be eliminated.

这一过程需要求解矩阵的逆。

The dynamic contact of the drop hammer with the laminate was simulated by geometric contact model provided by ABAQUS/Explicit code.

在冲击动态接触过程的处理上，则采用了ABAQUS中主从面几何接触模型，直接利用冲击物的初始速度条件和几何边界条件，将落锤冲击与复合板的变形和破坏进行联立求解。

Furthermore, to counter the uncertainty of the processing time in the practical production process, this paper builds a single machine earliness/tardiness with fuzzy processing time.

本文针对实际加工过程中作业时间的不确定性，研究了任务加工时间为模糊区间的单机提前／拖期问题，提出采用模拟退火算法对该模型进行求解，仿真结果表明，该方法具有较强的实用性。

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。