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.
建构主义教学观为复变函数与积分变换的教学提供了重要的指导意义。
Constructivism sets a new Angle of viewing teaching and learning, it provides an important direction of the teaching of complex variables and integral commutation.
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.
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.
怎么变换积分的顺序呢？
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.
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.
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.
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.
最后，运用复围道积分方法，找到了这些分量共形场的变换规律。
Their transformation rules are found by using the complex contour integral method.
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.
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.
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.
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.
采用积分变换与积分方程研究了单层饱和地基上刚性基础的竖向振动问题。
The vertical vibration of a rigid circular footing resting on a single-layered saturated ground is studied by employing the method of Hankel transform and integral 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.
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.
从广义惠更斯-菲涅耳衍射积分出发，导出了洛伦兹光束通过一阶轴对称光学系统传输变换的解析公式。
Based on the generalized Huygens-Fresnel diffraction integral, the analytic propagation expressions for Lorentz beams passing through first-order axisymmetric optical system are 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.
利用积分变换方法得出了两相材料中作用简谐集中力时的格林函数。
By using Fourier transform method, the Green function of a point harmonic force applied at a bi-material plane is obtained.
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.
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.
这里讨论了瞬变电磁法2.5维正演模拟中的两个积分变换：傅里叶逆变换和拉普拉斯逆变换。
The author has discussed two integral transforms for 2.5-D transient electromagnetic forward modeling, namely, inverse Fourier transform and inverse Laplace transform.
通过积分变换方法，求解热传导和热弹性力学方程组，由此得到激光辐照引起的温度场和热应力场的瞬态分布。
The equations of heat conduction and thermoelastic dynamics are solved through integral-transform method. Transient distribution of temperature field and thermal stress field is described.
在衍射理论基础上详细推导了三种再现算法(菲涅耳积分变换法、卷积法、傅立叶变换法)的数学表示。
Mathematical representations for three kinds of reconstruction algorithms (Fresnel integral, convolution and Fourier transform) of digital hologram are deduced based on the diffraction theory.
在衍射理论基础上详细推导了三种再现算法(菲涅耳积分变换法、卷积法、傅立叶变换法)的数学表示。
Mathematical representations for three kinds of reconstruction algorithms (Fresnel integral, convolution and Fourier transform) of digital hologram are deduced based on the diffraction theory.
应用推荐