离散化

To overcome the shortcomings of existing algorithms, the distributed parallel reactive power optimization algorithm based on sub-area division of the power systems is proposed according to the distributed and decentralized charac

针对目前无功电压优化算法存在的不足，根据电力系统分布、分散的特点，提出了基于电网分区的分布式并行无功优化算法，并对其进行了多目标、软约束的模糊化处理和离散控制变量的罚函数处理，利用直接非线性原—对偶内点法寻优求解。

To overcome the shortcomings of existing algorithms, the distributed parallel reactive power optimization algorithm based on sub-area division of the power systems is proposed according to the distributed and decentralized characteristics of the power system. Here, multi-objective function and soft constraints are modeled using fuzzy sets, and the multi-objective reactive power optimization problem is solved by the direct nonlinear primal-dual interior point algorithm.

针对目前无功电压优化算法存在的不足，根据电力系统分布、分散的特点，提出了基于电网分区的分布式并行无功优化算法，并对其进行了多目标、软约束的模糊化处理和离散控制变量的罚函数处理，利用直接非线性原—对偶内点法寻优求解。

First of all,a more reasonable dither matrix is constructed through element re-composition and discrete rotation based on the primary dispersed-dot Bayer dither matrix.

首先，将原驱散式Bayer抖动矩阵进行元素重组和离散旋转以构造一个更为合理的抖动矩阵，然后按照新矩阵对图像进行半色调化处理。

The system can receive and pretreat the discrete data of TXT format, realize different pattern three-dimensional visualization of line, different color and texture, etc. and has the functions of real time dynamical browse, three-dimensional coordinates query, grid data and three-dimensional figure export etc.It has too the functions of three-dimensiona contrastive figure drawing and contrastive data export of alterant riverbed terrain.

该系统能够接受TXT格式的离散数据并进行预处理，实现线框、不同设色、光照、纹理映射等不同模式的三维河床地形可视化，具有实时动态浏览、三维坐标查询、网格数据及三维图形输出等功能；同时，还具有河床地形冲淤变化前后叠加三维对比效果图的绘制以及对比数据的输出等功能。

Of particular, hydrogen bonding which is a short-range force is not completely predictable from bulk electrostatics.

本文通过不同体系溶剂化性质的研究对离散—连续组合溶剂化模型进行了探讨。

Firstly,by using the estimating methodfor the compact embedding operators(from weighted Sobolev space to the weighted〓space),we obtain a necessary and sufficient condition for the discreteness of thespectrum of certain differential operators.Secondly,based on the property of thespectrum of difinitizable operators on the Krein space,we consider the left definitedifferential equations with middle deficiency indices,and give a completecharacterization for self-adjoint(J-self-adjoint)differential operators in theindefinite inner product space 〓.Especially,we prove that all the J-self-adjoint differential operators are definitizable.

我们首先运用加权Sobolev空间到加权〓空间嵌入算子紧性的判别方法，证明一类加权自伴微分算子具有离散谱的充要条件；然后，基于Krein空间上可定化算子谱的性质，对于具中间亏指数的左定型微分方程，建立其相应的微分算式在不定度规空间〓上所生成自伴算子的完备性刻画（特别证明了J-自伴微分算子具有可定化性）。

The essence idea of restoration based on Total Variation is that translate the problem into minimum of energy functional with TV regularization, then the Partial Differential Equations are got from the principle of variation, finally after discretization the optimal resolution with the numerical methods is obtained.

基于整体变分的图像恢复概括的说就是把图像恢复问题形式化为带有整体变分正则化项的图像能量泛函极值问题，采用变分原理将其中的最小化问题转为所要求解的偏微分方程，即Euler-Lagrange方程，利用数字图像本身的离散特征使用适当的数值方法来求它的最优解，最后达到逼近原始图像的目的。

In chapter 2, the paper considers about applying the regularized method with a variance uniformization constraint to image restoration, therefore we discusses the relation between the variance of the restored image and the singular value of the discrete matrix of the blur operator in detail, and theoretically proves the well-posedness of the regularized method with a variance uniformization constraint.

在第二章中，本文考虑将带一致方差约束的正则化方法应用于图像的恢复，为此详细讨论了恢复图像的方差与模糊算子的离散矩阵的奇异值之间的关系，并从理论上证明了带一致方差约束的正则化方法的适定性。

A 3D geological visualized model is prepared based on control point data, drill hole data and orientation data of discrete engineering as measured, which is able to conduct 3D visualized analysis closely related to a given project.

根据实测的离散工程控制点数据、钻孔数据和产状数据，构建了三维地质可视化模型，并能进行与工程密切相关的三维可视化分析。

Use the mew accelerate function of OpenGL to accelerate the units display. Have adopted the three dimension graphics and OpenGL's technology, it makes use of Stencil test to carry on cutting operation, which reduces complexity of programming and has raised the speed and efficiency of displaying.

根据离散元单元图可视化难点，结合目前各种国内外图形可视化加速方法特点，我们采用新大加速方法进行单元加速，利用OpenGL加速结合计算机图形学原理加快单元图形显示，通过对剖切单元表面的Stencil操作，减少了大量求法线操作，加快单元剖切操作，减少了编程复杂性，提高了显示速度和效率。

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。