积分的

What is the probability that the intersectingof two lines belongs to K? Finally, in this paper, we introduce the concept of double chord-power integrals ofa convex body in R~3, and some properties of double chord-power integrals of a convex body in R~3 are got.

最后，本文通过弦幂积分的理论体系和已经得到的平面上双弦幂积分的概念和性质，把双弦幂积分的概念推广到R~3上，得到了R~3上双弦幂积分的一些性质和结论。

This result is a higher-dimentional analogue of the Fundamental Theorem of Calculus: it expresses the integral over D of some kind of derivative of P and Q in terms of an integral of P and Q over the boundary of.

格林公式建立了曲线积分和二重积分的关系 O 这是微积分基本定理在高维情形的推广：它将上P、Q某种形式的导数的积分用的边界上 P、 Q 的积分表示出来。

The purpose of this paper is to present some ways of transformation based on decomposition of trigonometric reasoned formula of integral calculus, and furthermore, it can promote student s ability of integral calculation and use of recursion serial.

结合积分的计算，分析积分递推式的化归问题，三角有理式在积分中的拆分法的化归问题，有利于促进学生对于积分的计算以及递推序列的巧妙应用等数学能力的培养。

The indefinite integral calculation is one important sector in calculus.

不定积分的计算是微积分中的重要一环，熟练掌握不定积分的概念和正确选用不定积分的方法是实施不定积分的关键。

Meanwhile, having a good knowledge of the concept of the indefinite integral and selecting and using the indefinite integral method in the right way, is the key to put the indefinite integral calculates into practice.

不少学生对不定积分的计算总是掌握不好，究其原因，一是对不定积分的基本概念不清楚，二是对如何正确使用不定积分方法不清楚。1不定积分在计算中常用的概念1原函数的定义：若F′=f，则称F为f的一个原函数。

A method of integrating infinite integrals which occur in axisymmetrical field in eddy current testing is presented. Subtraction of asymptotic terms is proposed to speed up the truncation process of an infinite integration interval, which greatly improves the integration of infinite integrals.

本文对涡流检测中解析求解轴对称场时遇到的无穷积分给出一种简单有效的数值积分方法，提出一种改进积分收敛性的方法，加速了无穷积分的截断，显著提高了轴对称场的计算效率。

One method is the singularity transferring method for calculating integral value containing O(1/R) singularity in its integrand［1］.The other singularity is removed first and the integral contribution of this small area is proved to be zero.

另一种方法是为解决O(1/R2)高阶奇异积分的数值计算问题的，它是通过排除一包含奇点的有限小块，而这一小块区域对积分的贡献为零，从而使积分方程在整个积分域变得数值可积。

Numerical integration of ordinary integrals and line integrals.

一般的积分以及线积分的数值积分。

In the past, there exists difficulty for calculating nearly singular integrals arising from boundary element analysis of the problems of thin body. However, by now, the difficulty of nearly singular integrals has been resolved by analytical integral algorithm, which has been put into uses in analyzing the conventional structures and thin body structures in the potential problems.

过去边界元法求解薄体结构存在着几乎奇异积分的困难，目前几乎奇异积分问题已得到成功解决，解析积分算法也已成功应用于分析二维位势问题常规结构和薄体结构。

Also the elimination of singular integrands is discussed and treated properly.

在积分求解过程中，提出了动态分配积分阶次的方法，在保障计算精度的前提下，减小了计算量，并结合边界元法理论和实现冷却分析的数值积分过程；消除了积分的奇异性。

I can not make it blossom and suits me

我不能让树为我开花

When temperatures are above approximately 80 °C discolouration of the raceways or rolling elements is a frequent feature.

当温度高于 80 °C 左右时，滚道或滚动元件褪色是很常见的特征。