查询词典 iterated integral

Based on the Biot s two-phase theory for fluid-saturated porous media, considering the inertia force of the solid and the liquid, and the coupling function between the solid and the liquid, and the compressibility of the liquid in allusion to the character of the nearly saturated soils. The dynamic governing differential equations are solved by Hankel transform. Then, considering the boundary condition, the dual integral equations of vertical vibration are established which are reduced to Fredholm integral equation of the second kind.

本文基于Biot两相介质动力固结理论，针对准饱和土地基的特点，考虑了流体的可压缩性，土体和流体的惯性及水土之间的耦合作用，运用Hankel变换技术求解动力控制方程，然后按混合边值条件建立起对偶积分方程，并将其化为易于数值计算的第二类Fredholm积分方程，分别研究了准饱和土半空间地基、上覆单相弹性层的准饱和土地基和准饱和粘弹性地基上刚性基础的竖向振动特性。

Using Biot's 2D elastodynamic theory solves the saturated soil equation. The Fredholm integral equation of the second kind can be built by using the fundamental solution of circular load, the compatibility condition and superposition method. The Fredholm integral equation of the second kind of pile groups can be solved by using numerical method. The numerical solutions of pile groups axial forces, pore pressures under vertical harmonic loading and shear forces, moments and pore pressures under horizontal harmonic loading can be obtained.

采用Biot提出的三维波动原理，利用圆形简谐载荷作用下的Biot固结方程的基本解和桩土之间的变形协调条件，并采用叠加原理得到饱和土中群桩的第二类Fredholm积分方程，应用数值法求解群桩的第二类Fredholm积分方程，得到在垂直简谐载荷作用下群桩的轴力、孔压随桩身变化的数值结果以及在水平简谐载荷作用下群桩的剪力、弯矩和孔压随桩身变化的数值结果。

Chapter 4 The Computation of Complex Argument Fresnel Integral and Complex Ar gument Transition Function and Their Properties The computation of complex argument Fresnel integral and complex argument transition function is a difficult problem meeted in electromagnetic scattering of lossy dielectric wedges.

第四章 复宗量Fresnel积分和复宗量过渡函数的计算及其性质复宗量菲涅耳积分的计算和复宗量过渡函数的计算是有耗介质劈电磁散射中遇到的一个难题，目前无表可查，对其性质也知之不详。

EMG signal analysis software from DASYLab 6.0 rectus femoralis, biceps femoris, tibialis anterior , the gastrocnemius and other muscles of the original EMG signal, the 10-500Hz to the band-pass filter processing, the full-wave rectifier on the turn, rate of 10 Hz low-pass smoothing wave treatment, and then by the integral operation, the available IEMG values, and divided by the integral interval of time, come to the average EMG EMG signal amplitude, and action cycle the largest standardized EMG values.

肌电讯号由DASYLab 6.0软体分析股直肌、股二头肌、胫骨前肌、腓肠肌等肌群之原始肌电讯号后，进行10-500Hz的band-pass滤波处理，经全波整流上翻、10 Hz低通率波平滑化处理，再经积分运算后，可得积分肌电值，并除以积分区间之作用时间，得出肌电讯号的平均肌电振幅，并以动作周期中最大肌电值进行标准化处理。

Methods From the fundamental equation in Laplace domain, using Multiple Reciprocity Method-Boundary Element Method, the integral equations and the boundary integral equations are derived and solved numerically.

方法由 Laplace 变换域中的基本方程出发，利用多重互换边界元方法，得到了积分方程和边界积分方程，并求得数值解。

Firstly, Hallen integral equation was performed to analyze the antenna. Then, the Equivalent Theory was used to build the electric field integral equation, the EFIE was translated into matrix equations by Galerkin method, and the scattering field can be calculated by the surface currents of the metal target. Finally, numerical calculation to representative scatters was conducted.

首先推导了有耗媒质中圆柱对称天线的海伦积分方程；然后利用等效原理建立导体表面的电流积分方程，并采用伽略金方法将积分方程组转化为矩阵方程组，求解出散射体表面的等效电流分布，计算出其散射场；最后以典型散射体为例，进行了仿真计算分析。

For calculation of the double integration on the boundary, the analytical formula of the first integral is deduced in detail with linear basic function, and a Gauss integration formula is used in the second integral.

以上算法利用Fortran 90 程序语言编制了计算程序。

Different kinds of integrations have to be evaluated in boundary element methods. The nearly singular integral is the most difficult one of them. A self-adaptive Gauss integral method is proposed to divide the element into finer meshes under the specified conditions.

边界元法通常需要采用数值方法解决单元内的各种积分问题，而准奇异积分是各种积分中数值处理最为困难的部分。

In the paper, an integral type rheologic equation suitable for linear visco - elastoplastic rheologic model is presented, and the rheologic equation of a general rheologic integral model is given.

给出了适合线性粘弹塑性流变模型的积分形式流变方程，并给出了普遍流变积分模型的流变方程。

By studying double-power integral, the geometric invariants and geometric probability can studied from the perspective. In particular, more complicated geometric probability can be resolved with the double-power integral inequality.

通过对双弦幂积分的研究，可以从新的角度更进一步的研究几何不变量和凸几何，特别是双弦幂不等式能解决更为复杂的几何概率问题。

However it can often be frust ating for a child when people are unable to pronounce their name.

但它往往可以令人沮丧的一个孩子当人们无法断言他们的名字。

All these compounds were obtained from this genus for the first time. Compound, 4-cumylphenol, was a new nature product.

所有化合物均为首次从本属海藻中分离得到，其中4cumylphenol为新天然产物。