查询词典 integral

There are many important mathematical analysis of elementary function is through the function series and definition of parameter improper integral.

数学分析中有许多重要的非初等函数是通过函数项级数以及含参量反常积分定义的。

The ellipsoidal coordinates are introduced to solve the unknown displacement and electric potential jumps in the integral equations under uniform loading.

引入椭球坐标系后，得到了均布载荷作用下未知位移间断和电势间断的解析解。

The ellipsoidal coordinates and the square root characteristics of the displacement jumps across the crack surface are cleverly used in the hypersingular integral equations for an arbitrary planar crack embedded into the infinite three dimensional homogeneous elastic solid.

对无限大三维均质弹性体中任意平片裂纹的超奇异积分方程，巧妙地引入椭球坐标系和利用裂纹表面位移间断具有平方根的特性，获得了受任意方向均布内压力作用下椭圆平片裂纹问题的超奇异积分方程的解析解。

Experimental investigation was carried out for the integral hydrobulge form-ing process of ellipsoidal shells.

对椭球壳体的整体无模胀形成形工艺进行了实验研究。

The solution of the equation and the period of the particle motion for a non-pertubated system are expressed exactly by means of Jacobian elliptic function and the 1-st kind elliptic integral.Melnikov function of the rotated periodic orbit is constructed,and also bifurcation of the system is analyzed by the method.

利用Jacobian椭圆函数和椭圆积分给出了系统的解和粒子运动周期，用Melnikov方法构造了旋转型周期轨道的Melnikov函数，并用这个方法分析了系统的局部分叉性质。

In Chapter 3, a certain polynomial Hamilton system with 3 degree is given. By elliptic integral formulas, the monotonicity of the periodic orbits of this system is verified.

在众多文章中，讨论次谐轨的分岔都需要一个条件，那就是在同宿轨附近的周期轨是单调的，第三章给出了一个具体的三次平面Hamilton系统，利用椭圆积分公式验证了这个系统的一对同宿轨附近的周期轨的周期是单调的，这包含了三种情况，周期轨在右边同宿轨内部，在左边同宿轨内部以及在整个同宿轨圈外部。

Under the assumption that the Earth is a triaxial rigid body which is rotating freely in the Euclidian space, the elliptic integral solution of the Euler dynamic equation is provided, and then the numerical solutions of the Euler dynamic as well as kinetic equation are realized.

在Euclid空间中，假定地球是一个作自由旋转的3个主惯性矩互不相等的刚体，给出了Euler动力学方程的椭圆积分解，并实现了Euler动力学方程和运动学方程的数值解。

Applying elliptic integral to calculate the electric potential due to uniformly charged ring, and then gets the general expression of the electric intensity by using gradient operation.

0引言对于均匀带电圆环电位和电场分布，在许多电磁学文献中仅仅只计算了与环面垂直的中心轴线和离圆环很远区域的电位和电场，而对其周围空间任意一点的值未作讨论。

It reduces a boundary valueproblem of elliptic equation to a singular integral equation on the boundary containing the finitepart of divergent integrals in the sense of distrib...

本文是在导师冯康教授指导下完成的，作者谨在此对他表示衷心的感谢。

Feng Qi and Bai-Ni Guo, Estimate for upper bound of an elliptic integral , Shuxue de Shijian yu Renshi 26 (1996), no.

祁锋，郭白妮，一个全椭圆积分的上界估计，数学的实践与认识 26 (1996)， no。

"Yes, now you can give yourself airs," she said, you have got what you wanted.

"对了，您现在高兴了，"她说道，这是您所期待的。

Then the LORD said to me: Rebel Israel is inwardly more just than traitorous Judah.

上主于是对我说：＂失节的以色列比失信的犹大，更显得正义。