求解过程

BED belongs to an unsteady state where the feed is strongly nonideal. A solution which is effective, quick and easy to run is hard to find out.

间歇萃取精馏属于非理想性极强的非稳态过程，很难找到一种快捷有效且易于执行的求解方法。

There are two procedures including solving nonlinear equations and orbit prediction. The difficulty of the problem in this paper rests with interlace and interference of the two nonlinear procedures, which lead dispersion with the normal algorithm.

其难点在于求解非线性方程组和轨道递推两个非线性过程交织在一起，互相干扰，双重的非线性对微小的误差产生的强烈的放大作用，导致使用通常的算法根本无法得到收敛的解。

Different from the traditional approach of solving GDA by singular value decomposition,the new algorithm utilizes kernel modified Gram-Schmidt orthogonalization algorithm to extract the optimal transformation matrix directly,which can not only effectively hold the most discriminant information in the null space of within-class scatter matrix,but also make the solution more stable in numeric.

与传统用奇异值分解获取目标特征子空间的方式不同，新算法运用核修正格兰-施密特正交化过程直接提取最优投影变换矩阵，不仅有效地地保留了类内散度矩阵最具辨别力的零空间信息，同时使所求解在数值上更稳定。

The quadrupolar ring's temperature field is studied numerically by finite difference method, its null drift is analyzed at given temperature circumitance.

通过有限差分法，对光纤环的Shupe效应作了研究，对四极子光纤环在非稳态传热的过程中的温度场进行数值求解，分析了光纤环在试验提供的温度环境下的温度零漂。

The study of traffic administration is mainly in virtue of mathematical method and physics law that can describe the phenomena and characteristic of traffic, simply that is the process of mathematics modeling, numerical simulation and finding its solution.

交通管理问题的研究手段主要是借助于数学方法和物理定律对交通现象和特性进行描述，简单的说就是数学模型的建立及其数值模拟和求解的过程。

To deal with data containing time drift, orthogonal polynomials fitting instead of least squares method is used.

研究了一种适用于这种过程的数据处理方法，利用权函数为1的特殊正交多项式做最佳平方逼近，从而避免求解病态方程组，得到较好的处理结果。

In the parallel program, the in-core and out-of-core algorithms can be identified and chosen to use automatically. So the algorithms are united.(3) The re-orthonormalization technique is used to solve the loss of orthonormality of basis vector during the classical GMRES method solving large-scale three dimensional elasto-static BE problems.

3采用重正交技术解决了经典GMRES方法在求解大型三维弹性静力边界元问题过程中出现的基向量正交性丧失的问题；结合边界元基本解和系数矩阵的特点以及并行化的要求，研究了几种预条件技术；并以重正交技术和预条件技术实现了经典GMRES的实用化。

The HELS method expresses sound field as a series of base functions,which are obtained by the Gram-Schmidt orthonormalization of spherical wave functions.

针对HELS方法重建声场过程中矩阵病态和奇异的问题，提出了采用奇异值分解的方法求解组合系数。此外，提出了采用循环迭代的优化方法确定线性组合的项数。

The every frame image was transformed by dyadic discrete wavelet and the characteristic of wavelet transform coefficient was analyzed. Low frequency coefficients were analyzed by fast principal component method which quoted Gram-Schmidt orthonormalization procedure in fixed-point algorithm then distilled principal component and reconstructed the low frequency coefficients. To suppress image noise, the high frequency coefficients were equated to zero.

该算法对热图像序列中的每帧图像进行二进制离散小波变换，提取出低频部分的系数；对低频系数进行改进PCA分析，通过固定点算法并引入Gram-Schmidt正交化过程求解特征向量；令高频系数为零，抑制图像的噪声。

In the paper, the Level Set Method is applied to track the moving interface between two fluids and every phase is calculated respectively combined the interface effects. Finally, Sewage outfall problem is simulated by 2D and 3D system based the paper, and the process and mechanism of the saline intrusion is explained.

本文从两流体的角度，采用Level Set方法追踪两流体分层界面的运动，对每相流体分别求解，并考虑界面处两流体间的相互作用，模拟了污水排海等分层流问题，详细阐述了海水入侵过程和机理。

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。