查询词典 harmonic integrals

This paper studies a class of cubic system with planar polynomial.We use the qualitative theory of ordinary differential equations method of analysis, reached the following conclusions of four parts: First, we analyze the quality of all critical points of the system,and draw the conditions of existence of singular integrals for the system , in front based on the analysis, using Pioncare form series method to calculate the focal value of o(0,0). Finally, we also study the behavior of critical points at infinity.

中文摘要：本文研究了一类平面三次多项式系统，我们采用常微分方程的定性理论的分析方法，得出如下四个部分结论：第一部分，分析系统所有奇点的性态，并得出系统存在奇异积分直线的条件；在前面分析的基础上，用Pioncare形式级数法，计算出了系统在奇点o(0，0)的三个焦点量；最后，研究了系统无穷远奇点的性态。

Property 1 The double integral of the sum of two functions is equal to the sum of their double integrals, that is

性质 1 两个函数和的二重积分等于它们二重积分的和，即

Resorting to the elliptic variables and quasi-Abel-Jacobi coordinates, the independence of involutive systems of conserved integrals is proved.

在Abel-Jacobi坐标的"窗口"下，各种流的清晰演化图片呈现出来。

It reduces a boundary valueproblem of elliptic equation to a singular integral equation on the boundary containing the finitepart of divergent integrals in the sense of distrib...

本文是在导师冯康教授指导下完成的，作者谨在此对他表示衷心的感谢。

Based on the deduced vector potentials, the expressions of the electric fields are derived. Also the numerical evaluation method of Sommerfeld Integrals appeared in the expressions is discussed.

接着推导出半空间界面附近电偶极子的电场强度的表达式，并讨论表达式中索末菲积分的数值求解方法。

In the procedure of computing impedance matrix elements, an improved method of accurate evaluation of retarded time integrals with singularity in self-impedance elements in MOT scheme is presented, which improve the late-time stability of MOT scheme.

在阻抗矩阵元素计算中，研究了一种基于Duffy变换的包含时间迟滞项的奇异积分的精确计算方法，提高了计算精度，改善了MOT求解积分方程中的晚时不稳定性。

Here about this Monte-Carlo buzz word. Ideally, an exact evaluation of the global illumination value at a given pixel in a given scene would require the evaluation of several integrals.

这里是有关Monte-Carlo这一术语的介绍，位于特定场景中的一个给定点处的全局照明的精确求值需要使用多个积分。

In order to speed up the k-PNN query processing,efficient spatial and probabilistic pruning approaches are used to reduce the search space,thus the costly numerical evaluation of complex integrals can be avoided as much aspossible.

因此，必须尽量缩小查询所需搜索的空间范围，从而在不影响返回正确结果集的情况下，进一步减少所要考虑的非确定对象，在很大程度上避免利用原始计算公式来返回结果集。

When a solid regionin three-space is symmetric with respect to a point, the evaluation of triple integrals over is often facilitated by using spherical coordinates.

当空间立体区域关于某个点对称时，计算上的三重积分通常使用球坐标比较容易。

Some closedforms of formulae are also obtained for the evaluation of the Cauchy prin-cipal integrals over quadratic boundary elements and linear internal cells of2-D problems.

通过采用以上各种技术成功地解决了三维弹塑性有限形变问题边界元法中最关键的数值积分的精度和效率问题。

There are different types of personal loans available.

有许多不同类型的个人贷款优惠。

The above mentioned teaching model of spiral rising can be used to avoid rigidness in teaching.

上述螺旋式上升的教学模式，可以避免教学形成模式後的僵化现象。