查询词典 Fresnel integral

Through the hypersingular integral equations of 3-d crack perpendicular to the interface given in the preceding, the principles of finite-part integrals and of limit are further made use of to pick the hypersingular integral equations of 3-d crack terminating at the interface On the basis of the equations, starting strictly from 3-d theory of elasticity, stress singularities of intersection-line near the front edge of the 3-d crack terminating at the interface are analyzed by virtue of dominant-part analysis of 2-d hypersingular integrals.

根据前面所得到的与界面垂直的单片裂纹超奇异积分方程，进一步运用有限部积分原理和极限理论，推导出了与界面垂直相抵的三维平片裂纹的超奇异积分方程。在此基础上，严格从三维理论出发，使用二维超奇异积分的主部分析方法，对与界面垂直相抵的三维平片裂纹前沿交线上的应力奇性指数进行了分析。

In the second chapter the theory of weighted residual technique is illustrated and the boundary integral function of the potential problem is deduced by it. Method of obtaining Greens function fundamental solution is presented. It also illustrates how to deal with inhomogeneous regions and the third boundary condition. At last the numerical solution of boundary integral function is presented.

第二章首先说明了加权余量法的原理，并由此推出了势问题的边界元积分方程，还介绍了无限域中格林函数的基本解的求法，以及多介质域和第三类边界条件的处理方法，最后说明了边界积分方程的数值解法。

The ratio of the vertical load distributed between the arch rib and the tie beam of the two schemes is the same. For the integral girder deck scheme, the longitudinal beams and the deck slab of endure more axial force compared to the ballast girder deck scheme, especially to the deck slab with a conspicuous increase of the axial force and higher stress, and the tie beam endure less. The force-bearing characteristics of the cross beams under the integral girder deck scheme is obviously better than that of the ballast girder deck scheme, especially at the two ends of each cross beam.

在受力上，与道碴板桥面方案相比，整体桥面方案竖向荷载在拱肋和系梁之间的分配基本相同，混凝土板和纵梁分担的纵向力则相对更大，尤其是混凝土板，增幅较明显，应力水平整体较高，系梁分担的纵向力则得到减小，横梁的受力状况整体桥面方案明显优于道碴板桥面方案，特别是在梁端处。

In order to calculate the integral of the Planck's blackbody formula within a limited region, trapezoid method and Simpson's method two kinds of numerical integral methods were used, and the analysis and comparison were carried on.

对普朗克黑体公式有界域内的积分，利用梯形法和辛普森法两种数值积分方法进行了分析和比较。

Currently used methods of transformation are: 1 integral average method, 2 average integral method, and 3 trapezoid method.

现有方法：①积分平均法，②平均积分法，③梯形法。

Triple integral expression of the radiation impedance of square piston is deduced and the numerical results of the radiation impedance are calculated with the method of Gaussian numerical integral.

利用高斯数值积分方法，推导了方形活塞辐射阻抗的三重积分表达式，计算了方形活塞声源的辐射阻抗。

Quadrature including the trapezoidal method, abnormal integral triple integral,...

包括梯形求积法，反常积分，三重积分，龙贝格方法，辛卜生方法等6种方法。

Since you are trying to build a network of nerve cells, you'd better learn about a linked integral instead of unlinked parts, because the linked integral you learn in a field possesses the same model with the one already known in another field.

因为你正在试图建立神经细胞的网络，最好学习一个连接的整体而不是没有连接的部分，因为你在一个领域学习的连接的整体具有你在另外一个领域已经知道的相同的模式。

And by using the initial conditions as well as the end conditions, the dynamic problem is then transferred to a second kind Volterra integral equation about the function of the axial strain with respect to time which can also be solved successfully by the interpolation method. For piezoelectric and pyroelectric hollow cylinders, by following the solving procedure for elastic hollow cylinder and by using the electric boundary conditions, the dynamic problems are transferred to two Volterra integral equations about two functions of time, one is axial strain and the other is related to electric displacement, which can also be solved efficiently and quickly by employing interpolation method. The elastodynamic solutions of hollow spheres, which are made of elastic, piezoelectric and pyroelectric materials, respectively, for spherically symmetric problems are also obtained.

对于弹性空心圆柱，通过引入一特定函数将非齐次边界条件化为齐次边界条件，然后利用正交展开技术，导出关于时间函数的方程，再结合初始条件和端部边界条件，将原问题转化为关于一个时间函数的第二类Volterra积分方程，运用插值法可给出此积分方程的解；对于压电和热释电空心圆柱，利用求解弹性空心圆柱相似的方法，再结合电学边界条件，原问题转化为关于两个时间函数（轴向应变和与电位移有关的函数）的第二类Volterra积分方程组，同样可用插值法来构造相应的递推公式高效地求解此积分方程组。

Using the divergence theorem, converted the area integral of the flux of stress for the surface force to a volume integral of the divergence of stress.

应用散度定理，将通量应力的面积积分转换成应力散度的体积积分。

The use of the web to spread fears that flicking the switch on the LHC could create a Black Hole that could swallow up the Earth particularly concerned him, he said.

他说，使用互联网散布恐慌说启动LHC会生成一个可能吞噬地球的黑洞的做法让他感到忧虑。

Not a single word have I written down.

我一个字也没有写下来。