怎么变换积分的顺序呢？
通过计算机模拟和波面实际测量，对十字路径积分法、傅里叶变换积分法和区域波前重构法三种主要算法的重建精度进行了对比研究。
The simulation and the experiment results demonstrated the precision of cross path integration techniques, Fourier transform integration and area wave-front reconstruction method.
另一件关于二重积分的是，我们已经讲过了，如何做更复杂的变量变换。
OK, now another thing we've seen with double integrals is how to do more complicated changes of variables.
给出曲面积分在空间坐标的正交变换下的一个计算公式。
A calculating formula for surface integrals under orthogonal transformation of space coordinates is given.
MathCAD组合了一个庞大的功能库，包括微积分、拉普拉斯变换、贝塞尔函数、统计和财务函数。
MathCAD combines a large library of functional capability including calculus, Laplace transforms, Bessel functions, statistics, and financial functions.
通过积分变换的方法可以求出每一层表面处位移与力之间的关系，进而形成层刚度矩阵。
The layer stiff matrix, which expresses the relation of force and displacement on surface of every layer, could be calculated to apply integral transformation.
数学分析中的一种积分变换，可用来解决特定类型的偏微分方程序。
In mathematical analysis, an integral transform useful in solving certain types of partial differential equations.
该文讨论傅氏变换中的二个时域积分特性，在求解频谱函数中的应用方法，并举例予以说明。
This paper discusses the application methods on solving frequency function and sets examples, in the two integral characters of time domain on Fourier conversion.
在具体计算中，由于应用积分变换以及将多重无穷求和化为单一无穷和，极大地简化了计算，节省了计算时间。
In the calculation of the DGF, it is simplified by using the integral transformation and replacing the multi-infinite summation with a single one.
应用含参变量积分变换的方法，给出了一类无穷积分的求值公式。
It is given a evaluation formula for a class of infinite integrals by applying Parametric Variable integral transformation.
用概率积分变换理论，给出了控制过程均值、过程方差的标准化控制图，适用于小批量生产环境下对过程均值、过程方差的有效控制。
A standard control chart based on probability integral transform theory is given, which can be used to control process mean and variance efficiently in the low volume manufacturing.
利用二维有限积分变换的方法推导出了四边固支矩形厚板位移和内力的精确解。
The exact solutions of displacement and inner force for clamped rectangular thick plate were deduced with two-dimension finite integral transform method.
利用积分变换技术，得到不同压电介质界面上的反平面运动裂纹问题的分析解。
The problem of an anti plane Griffith crack moving along the interface of dissimilar piezoelectric materials is solved by using the integral transform technique.
采用积分变换技巧，推导出了环状光束通过湍流大气传输二阶矩束宽的解析表达式，并研究了湍流对环状光束扩展的影响。
The closed-form expression for the mean squared beam width of annular beams propagating through atmospheric turbulence is derived by using the integral transform technique.
用积分变换和积分方程研究多孔饱和半空间上刚性圆板的垂直振动问题。
The vertical vibration of a rigld circular plate on a poroelastic half space is studied by using the technique of integral transform and integral equation.
通过引入辅助问题并利用积分变换方法，推导出二维、双层球壳红外CAT通用算法，并对内表面为第三类边界条件进行了分析和讨论。
A general solution of IR CAT for two dimensions and two layers spherical shell is developed by introducing an auxiliary problem and using the integral transforms.
本文采用积分变换的方法，推导出正交各向异性有限深地基域内受集中力作用的解答。
The fundamental solutions for the two-dimensional orthotropic layered foundation subjected to a concentrated load acted in any direction can be deduced by using the integral transforms.
通过对海浪模拟信号的仿真，实验结果表明，该方法可以有效实现测量信号的高精度积分变换，为实际信号的测量提供了新的有效方法。
Simulation result of wave signal demonstrates the high precision of this method in acceleration integration transformation and indicates this method is effective for practical measurement.
采用了模态变换和精细积分法，解决了考虑多阶模态的阻尼矩阵给求解所带来的困难。
To overcome the difficulties in the solving process brought by the multi-modal damping model, the modal transformation strategy and the precise time-integration method are applied.
采用积分变换和传递矩阵方法，求解了成层土在内部环形荷载作用下的基本解；
The fundamental solutions for displacements and stress components of the layered soil due to unit internal ring loading are first derived with integral transforms and the transfer matrix method.
借助于型参数，通过变换动量积分方程，得出动量损失厚度近似解的表达式。
By type factors and transitional momentum integral equation, the approximate expression of momentum thickness is presented as well.
提出一种稳定和精确的坐标变换和闭合积分方法，用以求解描述周期势场中布朗粒子作定向运动的乘性朗之万方程。
A stable and accurate integral closed algorithm is presented, which is used to solve multiplicative Langevin equation describing the directed motion of a particle in a periodic potential.
在此基础上推导了适合瞬态弹性波对异质体散射求解的变换域位移场积分方程。
Furthermore, an integral equation in transformed filed, which suited to calculate the instantaneous elastic wave scattering by a number of irregular scatterers embedded in an elastic body is derived.
本文主要对积分变换在解微分方程及计算某些实积分方面的应用做了一点浅显的讨论。
In this paper, we mainly discuss the application of integral transformation in solving differential equations and calculating some real integral.
在现有断裂动力学问题文献中，一般采用拉氏变换与积分变换方法，得到的回路积分最后还需借助于数值方法求解。
In present research on fracture dynamic problems, Laplace or integral transformation was generally used, and numerical methods had to be adopted to solve the loop integral.
在二维情况下，忽略热扩散效应，利用汉克尔积分变换法和最陡下降法，求解热扩散方程和波动方程，得出了位移的解析表达式。
The thermal equation and wave equation are solved by the methods of Hankel transform and steepest descent, and the general expression of displacement is obtained.
基于势流理论，考虑流场的可压缩性，首先利用积分变换导得了势流问题的一个动力学倒易定理。
A reciprocal theorem of dynamics for potential flow problems is first derived by means of the Laplace transform in which the compressibility of water is taken into account.
另一种处理方法是只对弥散项实施积分变换，应用边界条件，得出变分方程。
The other method is to perform the integration by parts only to dispersion term, then introduce the boundary conditions, and finally obtain the variation equation.
结果表明，Z变换算法的模拟结果比卷积分更接近理论值。
It indicates that simulation results by Z transform method are closer to analytical values than recursion convolution algorithm.
结果表明，Z变换算法的模拟结果比卷积分更接近理论值。
It indicates that simulation results by Z transform method are closer to analytical values than recursion convolution algorithm.
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