查询词典 integral formula

By use of symmetry of integral domain to coordinate surface, coordinate axis and coordinate origin, some useful formula to compute the integral are constructed, which are illustrated very useful and effective.

通过对积分区域的对称性和被积函数的奇偶性的讨论，从积分区域关于坐标平面、坐标轴和坐标原点对称出发，建立了简化各类积分计算的常见公式，并用例于展示了公式的有效性。

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。

On the basis of the idea of partition of unity, a discontinuous function and the two-dimensional asymptotic crack-tip displacement fields are added to the displacement interpolation formula to account for discontinuity of the contact surface and stress singularity near the contact surface tip respectively. Governing equations are deduced by virtual work principle and the integral of the discontinuous functions are calculated by Gauss integral through sub-elements cut by discontinuous surface.

该方法基于单位分解思想，在位移插值形式中引入不连续函数和裂尖渐近位移场函数分别反映接触面的不连续性和接触面端点的奇异性；根据虚功原理建立有限元支配方程，接触面不连续函数积分采用分区高斯积分的方法。

In this paper the direct boundary integral equation of two-dimensional Laplace equation for Dirichlet problem is considered, which is deduced by Green's formula and the fundamental solution, and is a Fredholm integral equation of the first kind.

本文考虑用Green 公式和基本解推导得出直接边界积分方程来求解二维Laplace 方程的Dirichlet 问题，该直接边界积分方程是第一类Fredholm 积分方程。

By integral transformation of basic equations, the stress and displacement expressions with unknown coefficients of elastic and viscoelastic materials were obtained in Laplace domain respectively, and introducing dislocation density functions, the singular integral equations were got according to the boundary conditions and interface connection conditions, further adopting Gauss integration and Gauss-Jacobi integration formula, the problem was reduced to algebraic equations, then it can be solved with the method of collocation dots in Laplace domain. Finally, the time response of dynamic stress intensity factor was calculated with the inverse Laplace integral transformation.

采用积分变换方法，得到Laplace域内弹性和粘弹性材料的应力和位移的含未知系数的表达式；引入位错密度函数，并通过边界条件和界面连接条件，导出反映裂纹尖端奇异性的奇异积分方程组，采用Gauss积分，并运用Gauss-Jacobi求积公式化奇异积分方程组为代数方程组，利用配点法进行求解；最后经过Laplace逆变换，求得动态应力强度因子的时间响应。

Proves the calculus basic formula by the relation between function increment and differential,states briefly the intrinsic connection among indefinite integral, definite integral,derivativee and defferential.

利用函数增量与微分的关系证明了微积分基本公式，简洁地阐明了导数、微分、不定积分和定积分的内在联系。

To perfect it,this paper,by using the basic knowledge in definite integral Newton—'Leibniz formula,offers an applied method of definite integral,partial quantity function infinitesimal calculus method,which is both theoretically reliable and easily applied.

一般教材都使用"微元法"给出被积函数，这一方法在理论上并非严格，为弥补该方法在理论上的不足之处，将定积分的应用方法总结为"部分量函数微积分法"。

For example, in a calculus course it's not terribly difficult to memorize the formula for integration by parts for integrals. However, if you don't understand how to actually use the formula and identify the appropriate parts of the integral you will find the memorized formula worthless.

例如，你会发现通过微积分来学习微积分学是很容易的，但是，如果你不了解怎么正确地使用这些公式和区分不同的微积分，你会发现你所学的公式都是毫无用处的。

This paper puts forward the triangle element method for calculating gravity anomaly of three-dimensional sphere-coronal model by using the divergence theorem. In this study, the volume integration was changed into surface integral, a series of triangles were used to fit the surface, and then the Green's formula was adopted to change surface integral into line integral. At the same time, a reasonable calculation program was given.

提出利用高斯公式将体积分变成包围该积分域的全表面积，应用一系列三角形拟合计算表面，然后通过格林公式把对每个三角形的面积分变成对三角形每边的线积分之和的三角元法来计算三度体球冠模型重力异常，同时给出了合理的计算方案。

Plot --- composite numerical quadrature formula to solve the problem of integration functions for composite trapezoidal plot formula and compound parabolic formula, the right to issue integral calculation.

数值积---复合求积公式对积分问题的求解功能用复合梯形求积公式和复合抛物线公式，对给定的积分问题进行计算。

This paper analyzes the compound attractor structure of a new three-dimensional autonomous chaotic system.

分析了一种新的三维自治混沌系统吸引子的复合结构。

ON shut rivals out of their transmission systems and shy away from reinvesting their profits in network improvements.

ON将竞争者挡在了其输送体系之后，并不愿将其收益再投资于网络改建工作。