阶数

The Pade approximation is combined with 3-D frequency-domain finite difference (3D-FDFD) for the first time. The impact of expansion point and the order of rational function on the accuracy and the convergence radius is discussed in this dissertation.

主要包括以下内容：首次将Pade逼近运用到三维频域有限差分法中，详细讨论了Pade逼近中展开点选取、收敛半径与有理阶数的关系问题。

In this paper, the c cyclic graph whose largest eigenvalue of its Laplaeian matrix equals v is obtained, and the relation of c and m is studied.

得到了Laplacian谱半径等于阶数的所有c圈图，研究了c与m之间的关系。

The PIB of the cylindrically polarized beam depends on the ratio of the waist width to wavelength, the order of the Laguerre polynomial, and the angle between the electrical vector and the radial direction.

束腰宽度与波长的比值、拉盖尔多项式的阶数、电场矢量与径向之间的夹角都对圆柱偏振光束的桶中功率参数产生了重要的影响。

The order of DAE is usually higher in real systems, so computers are required to perform the completion and calculation of DAE.

应用中的DAE的阶数都很高，需要通过计算机来完成DAE的完备化和数值计算。

Based on this concept, the method of dynamic multi-dimension order control in Taylor series expansion technique for transient stability analysis is presented.

在计算暂态稳定轨迹的过程中，根据各个状态变量的不同动态特性和计算精度约束，对时间常数不同的环节采用不同的阶数。

Suppose that G is a finite group and p is a prime such that p||G|.

设G为有限群，p是G阶数的一个素因子，即p||G|。

Rational number wavelet filter can be constructed by reducing the order of vanishing moments of wavelet function, but the value of free variable that appears in design equations should be selected in a certain range, because the wavelet construction must meet Daubechies compact-support condition.

有理系数小波滤波器的设计可以通过降低小波函数消失矩阶数来实现，但设计方程中出现的自由变量的取值需要在一定的范围之内，因为需要满足Daubechies紧支集条件。

Finally, For the first time, the Ritz variational based mode matching method using new basis functions is proposed to deal with a discontinuity region. The general process to construct the linear equation group is developed, and the equation group's rank is only half of that of the cascading treatment. Thus the efficiency can be increased.

还首次采用新型基函数并利用里兹变分法和模式匹配法提出了构造处理一段不连续性问题的线性方程组的一般理论，方程阶数可比常规的级联处理方法降低一倍，可提高计算效率。

It is often seen that only lower order modes of the beam without large overallmotions are chosen to reduce the number of the generalized coordinates,the simulation,however,is able to reach certain accuracy.

本章对不同转速和中心刚体半径下模态截断法和有限元法的仿真结果进行比较，根据两种方法的振动基频的相对误差确定了模态截断的阶数与转速、中心刚体半径的关系，提出了模态截断的准则，解决了模态截断法的精度问题。

But with the increase of the Volterra filter order,the number of filter coefficient assumes the geometric series increasment.

但随着Volterra滤波器阶数的增加，对应的滤波系数个数呈几何级数增长，实现非常困难。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。