计算

Gauss- Seidel iteration method is to function in the calculation of the first equation obtained after the first argument, it updates the independent variables into the second equation.

详细说明：高斯-赛德尔迭代计算方法是在计算第一个方程函数得到第一个自变量后，吧自变量更新进入第二个方程计算。

The noise radiation of the gear case is estimated by a special method, in which, the impact of the vibration phase of each partial surface and the time of the sound wave from the surface to the position at which the noise is calculated are taken into account.

考虑到噪声辐射面各部分的振动相位和声波从它们传播到计算噪声点的时间互有区别，使用了在复数域迭加声波的辐射噪声计算方法。用这种方法计算了齿轮箱的辐射噪声分布。与已有的理论和试验结果进行了对比。

Average annual Growth Rate Two methods for calculating average annual growth rate are applied in China, one is often called "level approach" or the method of calculating geometric average, which is derived by comparing the level of the last year of the interval with that of the beginning year; the other is called accumulative approach or algebraic average or equation method, which is derived by the summation of the actual figure of each year in the interval divided by the figure in the base year.

平均增长速度我国计算平均增长速度有两种方法：一种是习惯上经常使用的"水平法"，又称几何平均法，是以间隔期最后一年的水平同基期水平对比来计算平均每年增长速度：另一种是"累计法"，又称代表平均法或方程法，是以间隔期内各年水平的总和同基期水平对比来计算平均每年增长速度。

Annual Average Growth Rate two methods for calculating annual average growth rate are applied in China, one is often called "level approach" or the method of calculating geometric average, which is derived by comparing the level of the last year of the interval with that of the beginning year; the other is called "accumulative approach" or algebraic average or equation method, which is derived by the summation of the actual figure of each year in the interval divided by the figure in the base year.

平均增长速度我国计算平均增长速度有两种方法：一种是习惯上经常使用的"水平法"，又称几何平均法，是以间隔期最后一年的水平同基期水平对比来计算平均每年增长速度；另一种是"累计法"，又称代数平均法或方程法，是以间隔期内各年水平的总和同基期水平对比来计算平均每年增长速度。

Tow methods for calculating average annual growth rate are applied in China, one is often called level approach or the method of calculating geometric average, which is derived by comparing the level of the last year of the interval with that of the beginning year; the other is called accumulative approach or algebraic average or equation method, which is derived

我国计算平均增长速度有两种方法：一种是习惯上经常使用的"水平法"，又称几何平均法，是以间隔期最后一年的水平同基期水平对比来计算平均每年增长速度：另一种是"累计法"，又称代数平均法或方程法，是以间隔期内各年水平的总和同基期水平对比来计算平均每年增长速度。

Tow methods for calculating average annual growth rate are applied in China, one is often called "level approach" or the method of calculating geometric average, which is derived by comparing the level of the last year of the interval withthat of the beginning year; the other is called "accumulative approach" or algebraic average or equation method, which is derived by the summation of the actual figure of each year in the interval divided by the figure in the base year.

我国计算平均增长速度有两种方法：一种是习惯上经常使用的"水平法"，又称几何平均法，是以间隔期最后一年的水平同基期水平对比来计算平均每年增长速度；另一种是"累计法"，又称代数平均法或方程法，是以间隔期内各年水平的总和同基期水平对比来计算平均每年增长速度。

To introduce the method of matrix, the optical system design in detail in the optical polarization Jones matrixes of application, On the other hand, the geometrical optics lens, the relations between the theoretical calculation, and the calculation results of calculation method and the results are compared, consistent, this method is feasible and reasonable.

将矩阵方法引入光学系统的设计中，详尽地给出在偏振光学中琼斯矩阵的应用；另一方面，对几何光学中的透镜间的关系进行理论计算，并把计算结果与普通的计算方法做出的结果比较，它们是相吻合的，说明此方法是可行的，合理的。

First low order approximation of generating function and approximate optimal trajectory were obtained. Then using low order approximation of generating function of Hamilton "relative motion" to the approximate optimal trajectory, improvement of the approximate optimal trajectory was iteratively made. In this way, high order approximation accuracy can be obtained by only using low order approximation, which is much cost effective in computing.

首先以较低的计算代价，获得最优控制Hamilton系统生成函数的低阶近似，得到一条近似的最优轨线，然后将最优控制Hamilton系统相对于近似最优轨线求"相对运动"，该"相对运动"仍具有Hamilton性质，利用这一"相对运动"的生成函数低阶近似，可以对近似最优轨线进行迭代修正，从而以计算代价较小的低阶近似逼近计算代价高得多的高阶近似的精度。

Applying atomic many-body theory to analyse the Goldston diagrams of effective Hamiltonian and wave operator about electron-electron correlation for open shell atoms, we use a simple method to evaluate the effective Hamiltonian and calculate the correlation effectes of Corbon with HFS model as a zeroth order approximation. Making contrasts with the experiment and the calculation based on HF model we get pleased results.

应用原子多体理论对开壳层原子中电子关联效应的有效哈密顿量及波算符的Goldston图进行了分析，在此基础上得到了计算有效哈密顿量的简单方法；以HFS模型为零级近似对中性碳原子基态的关联效应进行了计算并通过与实验结果及其他文献基于HF模型进行的计算相比较，得到了令人满意的结论。

Using Density Function Theory we receive the ground states of GaN and GaN2 are X 、X2B2 respectively.Murrell-Sorbie analytical potential energy functions of GaN have been derived by using ab initio data and the least-square fitting method, and harmonic frequency, force constant and spectroscopic data also have been calculated.

基于量子化学计算得出GaN和GaN2 基电子态及其离解极限之后，利用计算数据和最小二乘法得到了GaN 的M-S解析势能函数，并计算出各态的谐振频率、力常数和光谱数据。

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。