查询词典 kernel of integral equation

Then introduces the basic concept and triple integral calculation method, the three-dimensional volume and triple integral calculation of triple integral mechanics.

随后介绍了三重积分的基本概念和计算方法，三重积分计算立体体积以及力学中三重积分的应用举例。

Vector to raster: Inside point diffuse method, diffuse from internal seeds within polygon to neighbor points, as far as to the boundary of polygon; Pluralism integral arithmetic, according to the close boundary of polygon, makes uncertain point calculate pluralism integral; Radial and scanning arithmetic, from a uncertain point which located outside of the figure to draw radial, according to the junction of radial and polygon to judge the internal and outside relationship; Boundary algebra filling, a vector convert to raster arithmetic which based on integral thought, suit for polygon vector convert which recorded topological relationship.

矢量转栅格：内部点扩散法，即由多边形内部种子点向周围邻点扩散，直至到达各边界为止；复数积分算法，即由待判别点对多边形的封闭边界计算复数积分，来判断两者关系；射线算法和扫描算法，即由图外某点向待判点引射线，通过射线与多边形边界交点数来判断内外关系；边界代数算法，是一种基于积分思想的矢量转栅格算法，适合于记

Starting from this dowble, firstly introduces the basic concept and the double integral method, double Integral calculation music volume and surface area of top cylinder, and the application examples in the double integral application in mechanics.

本文从二重积分入手，首先介绍了二重积分的基本概念和计算方法，二重积分计算曲顶柱体体积和曲面面积的在应用举例，以及二重积分在力学中的应用。

Since the commutators of both sing-ular integral operators and fractional integral operator with BMO functions areone of the special cases of〓,so the discussion of the boundedness of〓notonly gives a new proof of the boundedness of the two commutators,but al-soweakens some of restrictions into discuss the problem,thus it impro-vessome of results inwith the method of complex analysis,show-ed boundedness of〓,then directly obtained boundedness of the commutato-rs of fractional integral operator with BMO functions.

既然奇异积分算子和分数次积分算子与BMO函数的交换子是其特殊情形，所以〓的有界性的讨论不仅给出了中关于这两类交换子有界性的一个新的证明，而且减弱了中讨论这一问题时对齐型空间所作的限制，从而改进了中的结果（利用复分析的方法，先证明〓的有界性，从而直接得到分数次积分算子与BMO函数的交换子〓的有界性。

When system error is very huge, integral effect will be weakened even disappeared, and when the error is small,the effect will be enhanced. Overshoot caused by overlarge integral coefficient is solved completely, even saturation state or static difference due to little integral coefficient.

在改进的控制算法中，积分增量在整个控制过程中是变化的，系统偏差大时积分作用减弱甚至全无，而在偏差小时则加强。

At the beginning, the thesis offered an analysis on the backgrounds of Unit Integral English Teaching Approach, the reasons for choosing the research topic and its theoretical and practical significance. Through literature review and summary, the origin of Unit Integral English Teaching Approach, its basic conception and present achievements home and abroad were discussed. Then the theoretical support of Unit Integral English Teaching Approach, System Theory, was introduced and its basic axioms and principles were summarized. Upon this base, the experimental framework was put forward and the exemplification of the study was described in details.

本文首先对整体教学法产生的背景、课题选题的缘由、实验的理论和实践意义进行了论述，然后通过文献回顾与综述，阐明了单元整体教学法的起源、基本的概念以及目前国内外相关研究所取得的成果，并对整体教学法的主要理论依据—系统论的基本原理和原则进行了归纳分析，在此基础上提出单元整体教学研究的实验计划，详细描述了实验的实证性研究过程。

There are two difficult points in convolution integral: how to determine the limit of the integral, arid the integrands on the convolution integral.

确定卷积积分的积分限和在相应区间上的被积函数是计算卷积积分的两个难点。

An integral constant expression can involve only literals (2.13), enumerators, const variables or static data members of integral or enumeration types initialized with constant expressions (8.5), non-type template parameters of integral or enumeration types, and sizeof expressions.

整型常量表达式只能带有字面值(2.13)，枚举值，常变量，或是以常量表达式初始化(8.5)的整型或枚举类型的静态数据成员，整型或枚举类型的非类型模板参数，以及 sizeof 表达式。

And then hp version discontinuous space-time finite element methods is used for a kind of Volterra integrodifferential parabolic equation with weakly singular kernel.The uniqueness of the approximate solution of the equation and the error estimate for time in L_2 norm and space in L_2 norm is obtained.

其次利用hp间断有限元方法研究一类Volterra偏积分微分方程，证明了离散解的存在唯一性，并得到了时间L_2、空间L_2模的指数型误差估计。

In this thesis, we provide a simpler form of the axisymmetric boundary integral equation, and modify some aspects of the direct boundary integral method.

本论文给出了轴对称情形下边界积分方程的一个更简单的形式，并在若干方面改进了直接的边界积分算法。

It's bell can reach over a meter in diameter.

它的身体最大可以达到直径1米多。

Now they are overdue and I shall have to pay a fine.

现在他们过期了，我不得不付罚款。