查询词典 evaluation of 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。

The thecretical analysis is done for the problems of the integral initial values, the accumulated error and the excursive error induced by numerical integrals. It is found that these errors possess characteristics of lower frequencies and they can be treated as the low frequency noise.

针对积分初值、数值积分积累误差和数值积分引入的偏移误差进行了理论分析，得出此类误差均具有低频特性的性质，可作为信号低频噪声进行处理。

Few nontrivial multiple integrals expressible in terms of simple analytic formulas are known.

归纳积分算子的迭核的过程中，多重积分在特殊迭核的情况下被表示为单积分。

Advanced course covering topics selected from: semimartingale theory, stochastic integrals, homogeneous chaos expansions, stochastic differential equations, Malliavin calculus, infinite dimensional processes, functional central limit theorems, Feynman-Kac formula, Feynman integral.

随机分析：高级课程，包括：半鞅理论，随机积分，齐次混沌展开，随机差分方程， Malliavin 微积分，，有限维过程，泛函中心极限理论， Feynman-Kac公式， Feynman积分，过滤理论的应用，无限粒子系统，量子力学，神经学中的随机模型。

For practical application the integrals in (3.79) and (3.80) have to be replaced by finite series.

为了实际应用，（3.79）和（3.80）里的积分项必须用有限级数代替。

All the most commonly used special functions are included: Bessel functions, Fresnel integrals, etc.

所有最常用的特殊功能包括：贝塞尔函数，菲涅耳积分等

Integral Calculus: definite and indefinite integrals; fundamental theorem of calculus; techniques of integration; Taylor's Theorem; applications in geometry, physics and engineering.

积分学：定积分与不定积分、本定理、积分的方法、勒定理、分学在几何、理和工程学上的应用。

But Severus escaped the hands of those that Julianus had sent to murder him and sent a letter to the praetorian guard, giving them the signal either to desert Julianus or to kill him.

赛维鲁总算逃过了尤利阿努斯派来的杀手，并写了一封信给罗马的禁卫军，向他们发出信号，要么抛弃尤利阿努斯，要么干掉他。他们立即服从了。

This text is in terms of this of " human nature ", it is under the influence of western literature human nature thought to probe into, awakening in human nature of novel works and all sorts of limitations that affectionate The school of Mandarin Duck and butterfly.

本文便是从"人性"这一角度，探讨在西方文学人性思想的影响下，清末民初鸳鸯蝴蝶派的言情、哀情小说作品在人性方面的觉醒与种种局限。