离散化误差

In addition, there was some difference in cycle between self – generating sine signal and the actual electrical network, so the great accumulated error and non synchronous error will be presented after several cycles.

另外，由于在传统的傅立叶系数数值求解时，微处理器进行离散化，所用的内部产生的正弦信号周期不能与实际电网周期完全相等，因此在多个电周期后，会有较大的积累误差和非同步误差。

Because of error by dispersing albinism differential equation, the response of difference equation is changed relative to differential equation.

由于离散化引入了误差导致白化微分方程和差分方程的响应发生了变化。

The unique advantage of this halfanalytical numerical method is that the analytical process of Conformal Mapping can transform an irregular area into a regular one such as a rectangle. Therefore, the discretization error of numerical methods on the boundary can be avoided, and the numerical algorithm can be implemented more easily, with the computing efficiency improved.

这种保角变换的半解析数值方法的突出优点是：利用前期的保角变换解析处理将不规则的场域转化为规则的矩形域，从而避免了纯数值技术对复杂边界的离散化误差，降低了后期数值计算的算法复杂度，并提高了计算效率。

First,an optimal filtering operator on the continuous fractional Fourier domain is provided according to the orthogonality principle about the linear minimum mean square error estimation,and then,a discrete algorithm of the filtering operator is further proposed.

首先由线性最小均方误差估计的正交条件出发，得到了连续分数阶傅立叶域上的等效Wiener滤波算子的求解方法；在此基础上，进一步给出了滤波算子的离散化算法。

The auxiliary technologies for hexahedral mesh generation are studied thoroughly in this article. The technologies mainly cover the parametric description of three-dimensional geometric solid boundary, the controlling of mesh precision by imposing maximum geometric discretization error, the topology analysis of mesh, the optimization of node labeling and the display of mesh with removed hidden lines.

对六面体网格生成的辅助技术进行了较深入的研究，其中主要讨论了三维空间几何实体边界的参数化描述、利用最大几何离散误差来控制网格的离散精度、在对网格的拓扑关系进行正确分析的基础上提出改进的节点编号优化算法以及快速的网格消影显示等技术。

For the diffractive optical element realizing beam shaping in the fractional Fourier transform domain,the transform matrix calculated by the discrete sampling points was compared with that calculated by the Fresnel integral,and the discretization error of the intensity distribution on the output plane was qualitatively obtained.

针对分数傅里叶变换衍射光学光束整形器件，比较了按离散点与按菲涅耳积分计算得到的变换矩阵间的差距，从中分析得出按离散点计算的变换矩阵引入的离散化误差与分数傅里叶变换系统参数的关系。

In this paper,based on the skew tent map, a class of discretized finite state chaotic maps are proposed which allow an exact numerical study without round_off errors.

基于skew tent映射，提出了一类离散化的有限状态混沌映射，它允许精确的数值计算，没有舍入误差。

The variational problem of semi-discrete problem is given, the well-posedness of the variational problem is proved, and some error estimates are presented.

给出半离散化问题的变分问题，证明了变分问题的适定性，并给出了误差估计。

The contour smoothing processing focused on the common zigzag and blurred effect occurred in conventional segmented images. The problems of fragments and furcations were also solved by the characteristic analysis of the local gray level.

该算法把消除颗粒噪声、采样离散化误差作为边缘平滑的重点；通过对图像局部灰度特性的分析解决了轮廓跟踪过程中出现的断边、分支问题。

On the basis of the investigation of different moments, the concept of generalized moments is firstly defined and then, an abstract algorithm framework for computing the accurate generalized moments is presented. The framework replaces integrals on 2-dimensions space by summations on 1-dimension ORBIR list without introducing the error incurred by discrete sampling, and therefore, reduces the computation complexity for moments generation.

矩在工程实践中的应用非常广泛，在考察矩的实质的基础上，定义了泛化矩的概念，并研究泛化矩的生成框架，该框架在不引入离散化过程中存在的采样误差的前提下，将矩生成过程中需要的二重积分运算转化为在一维的ORBIR矩形序列上的求和，因此降低了矩生成的计算复杂度。

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。