积分的

This theory system will pour into the new vigor to the integral geometry and the geometry probability, provides the new theory basis for the integral geometry and the geometry probability.

这一套崭新的理论系统将对积分几何和几何概率注入新的活力，为积分几何及几何概率提供新的理论依据。

On Buffon's problem for the complicated lattice Kinematic formulas in integral geometry are integral formulas that represent integrals of geometric functions on the intersection of fixed and moving domains.

2复杂网格的Buffon概率在积分几何中，运动公式是一些定义在定区域与动区域交集上的几何函数的积分公式。

The relationship between the G(superscript *) integral of release rate of non-spontaneous extending energy and stress-intensity factors was given. The relationships among G(superscript *) integral, load, geometry parameters and machine function parameters were provided. Furthermore, the stress intensity factor of center cracks in sectional I beam was obtained.

给出了工字型截面梁裂纹非自发扩展能量释放率G积分与应力强度因子的关系，同时也给出了G积分与载荷、几何参量以及机械性能参数的关系，进而得到工字型截面梁腹板中心裂纹的应力强度因子。

Based on the integral inequality and other quality proved,the paper discusses the conclusion of the mid-value in theorem of integration mean which is got in open interval.

在证明了定积分不等式等性质的基础上，给出并证明了积分中值定理的中值在开区间内取得的结论。

The direct method of solution for non-normal type of singular integral equation with Hubert kernel is discussed. Their solution have form of integral and the condition of solution have form of the system of equations.

给出了具有Hilbert核非正则型奇异积分方程的直接解法，对核密度函数k在附加某些条件下，得出了方程积分形式的解和方程组形式的可解条件。

Secondly, we introduce the integral operator , where is an operator-valued functions, and derive some argument properties of the integral operator and some interesting corollaries as the special case.

二、将一类被积函数为复值函数的积分算子推广到被积函数为解析算子值函数的情况，并讨论了这类积分算子的辐角性质。

In this paper,the singularity in the integrand of electrical field integral equation for 3-dimensional vector fields scattering is first analyzed.

本文研究了电场积分方程中被积函数奇异性的处理方法，特别是三维矢量散射分析中出现的高阶奇异性，给出了两种解决积分方程奇异性的数值方法。

Dept.of Microwave Eng.,UEST of China,Chengdu 610054,ChinaAbstract:In this paper,the singularity in the integrand of electrical field integral equation for 3-dimensional vector fields scattering is first analyzed.

本文研究了电场积分方程中被积函数奇异性的处理方法，特别是三维矢量散射分析中出现的高阶奇异性，给出了两种解决积分方程奇异性的数值方法。

This paper proposed an implicit technique based on the Jacobi's iteration method. The theoretical demonstration and analysis show that the proposed method meet both the real-time and the stability requirement well. The new method which can update stably the state of n mass points with the time complexity of O has great advantages over the existing implicit integration methods.

本文提出了一种基於雅可比迭代法的隐式数值积分算法，通过理论证明和分析，该算法稳定地更新n个质点的状态所需时间复杂度为O，较已有的隐式积分算法有了很大的改进。

It is found that there are similarities in terms of spectral integral among the wind input source terms given by Jeffreys, Sverdrup and Munk, and Plant and among the wave breaking dissipation source terms given by Tsikunov,Hasselmann and Philips,although the original forms and the physical considerations of these source terms are significantly different.

发现Jeffreys，Sverdrup和Munk以及Plant的风能输入源函数在谱积分意义下具有相似性，而Tsikunov，Hasselmann和Phillips的破波耗散源函数在谱积分意义下也具有相似性，尽管这些源函数的原始形式和物理背景显著地不同。

This paper discusses design and realizable methods of remote test output interface from logical design angle.

本文从逻辑设计的角度讨论遥测输出接口的设计及实现方法。

This also 星体投射plies to buildings, structures and geological features.

这也适用于建筑物和地质特征。