积分的

On the whole, we do as follows: Firstly, we list some conceptions and lemmas for later use. Secondly, we inducted the absolute value norm in the two-dimensional vector interspace, and also proved the two-dimensional vector interspace is a Banach Interspace. Thirdly, we define two-dimensional vector-valued functions on a interval by the definition of -fine partitions in part 1. Then, some sufficient and necessary conditions of integrabel are given, and discuss the property of the integral on two-dimensional vector-valued functions.

主要包括以下内容：在第一部分，我们介绍了本文所用到的几个基本概念和引理；第二部分，我们在二维向量空间中引入了绝对值范数，并且证明了二维向量空间是一个Banach空间；在第三部分中，通过第一部分关于-精细分划的定义，我们给出了在某区间上二维向量值函数积分的定义以及可积的充分必要条件，并讨论了二维向量值函数积分的一些性质。

In order to get the principle of cell distribution in buffer, the local rate function is obtained, which can be expressed in detail with the help of DuBoisReymond equation and conditional integral. This gives us the system's rate function.

为了能够分析缓存器中分组信息变化的规律，论文首先给出了主干系统的本地速率函数，利用变量积分的DuBois-Reymond方程，给出了本地速率函数所满足的微分方程，在条件积分的约束下求得本地速率函数表达式，由此求得系统的速率函数。

In this paper. we discuss the history origin of integral geometry, its product anddevelopment in the introduction. Also. the kinematic in-variant density formulas forpairs of needles and lines in R~2 and R~3 the concept and properties of chord-powerintegrals of a convex body are introduced in brief.

本文在绪论部分综述了积分几何与几何概率的历史渊源及它的产生与发展，简单介绍了R~2和R~3上点偶、线偶的运动不变密度公式以及凸体的弦幂积分的概念和性质。

Firstly, illustrate the fundamentals (differential-integral optimizing theory) of the category of algorithms briefly in the sight of differential and integral calculus. Then two examples of the category of algorithms are listed.

首先从函数逼近的角度论述了数值积分与全局最优化的关系，随后从微积分的基本原理和定积分的定义出发对该类算法的几何意义和数学基础作了简要论述；在此基础上给出了该类算法的几个具体实现。

This article introduces some new methods, which utilize the own specialties and integral characters in Laplace transform to solve some special types of infinite integral. For example,,.

本文介绍的求值方法是利用Laplacc变换本身的特点及其具有的积分性质，来求一些特殊类型的无穷限积分的值，例如，，型。

And it makes a detailed and brief exposition, and offers some extremely targeted examples of the application, in order to understand the integrability conditions and enhance the understanding and application capability.

文章最后专门讨论了复合函数的黎曼可积性和可积函数列的逐项积分，得出了如何根据特定条件来判断一个复合函数可积性的定理和判定一个函数列可逐项积分的一个充分条件，并将其推广，得到一个更弱的充分条件。

By separating the singular parts from surface integrals and developing an effective algorithm for solving rapid oscillatory multiple integrals, all the difficulties encountered in practical compuation were overcame.

通过分离面积分中的奇异性成分以及发展针对快速振荡的多重积分的有效算法，克服了积分核的实际计算中的困难。

By applying the H〓lder inequality, the Gronwall inequality, the Doob's inequality and the properties of the Ito stochastic integral to the integral form of the test equation, several important inequalities related to the analytical solution are proved, and the local order of the numerical solutions in mean square sense is obtained accordingly.

通过对试验方程的积分形式使用Holder不等式、Gronwall不等式、Doob不等式和Ito随机积分的性质，得出了试验方程解析解满足的几个重要不等式，进而得出了数值方法在均方意义下的局部误差阶。

These methods lead to the absence of the assessment subject and results in inevitable systematic error.

本文介绍了支持向量机方法和模糊积分，通过与基于投票方式的集成支持向量机、单一支持向量机和模糊神经网络的方法进行比较，结果表明基于模糊积分的集成支持向量机的分类准确性明显好于其它几种方法。

By analyzing the strange behaviors of massless integrations in dimensional regularisation, It was proposed that for a special kind integration, which is sero mathmatically, should not be simply treated as sero physically, as a fact it is the difference of the same magnitude ultraviolet divergence and infrared divergence.

通过研究维数正规化中的无质量积分的奇妙特性，本文指出对一种特殊类型的动量积分，从数学上看DR给出的结果为零，但物理上不能把结果简单处理为零，而是反映了大小相等的紫外和红外发散之差。

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。