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• In mathematical analysis, an integral transform useful in solving certain types of partial differential equations.

数学分析中的一种积分变换可用解决特定类型微分方程序。

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• The exact solutions of displacement and inner force for clamped rectangular thick plate were deduced with two-dimension finite integral transform method.

利用二维有限积分变换方法推导出了四边固支矩形位移内力精确

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• 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.

积分变换积分方程研究多孔饱和空间刚性垂直振动问题。

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• The problem of an anti plane Griffith crack moving along the interface of dissimilar piezoelectric materials is solved by using the integral transform technique.

利用积分变换技术，得到不同压电介质界面平面运动裂纹问题分析解

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• The author has discussed two integral transforms for 2.5-D transient electromagnetic forward modeling, namely, inverse Fourier transform and inverse Laplace transform.

这里讨论瞬变电磁法2.5模拟中的两个积分变换：傅里叶逆变换和拉普拉斯逆变换。

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• The analytical expressions for the dynamic stresses and perturbation of magnetic field vector are obtained by means of a finite integral transform and Laplace transform.

给出解析方法求解两种热载荷冲击作用下，正交各向异性圆柱体应力磁场矢量扰动的集中效应。

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• Parameters are evaluated by using an integral transform technique and a single perturbation technique. An improved method of moment is provided to treat experimental data.

分别积分变换奇异动法，导出了数学模型在拉氏域内的解和时间域内近似解析解，并用导得的解进行模型参数估值。

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• 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.

采用积分变换技巧推导环状光束通过湍流大气传输二阶矩束解析表达式，并研究了湍流对环状光束扩展的影响。

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• 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.

概率积分变换理论给出控制过程均值、过程方差标准化控制适用批量生产环境下对过程均值、过程方差的有效控制

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• 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.

通过积分变换方法求解热传导弹性力学方程组，由此得到激光辐照引起温度和热应力场的瞬态分布

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• 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.

采用积分变换积分方程研究了单层饱和地基刚性基础竖向振动问题

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• By using the Fourier transform, the problem can be solved with a pair of dual integral equations in which the unknown variable is the jump of displacements across the crack surfaces.

首先利用变换，使问题求解转换成对一对变量裂纹面上位移对偶积分方程的求解。

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• The equations of heat conduction and thermoelastic dynamics are solved through integral-transform method in circular cylindrical coordinates.

圆柱坐标系中利用积分变换求解热传导热弹性力学方程组

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• Laplace transform pairs of typical signals can be looked up in the table of Laplace transforms. Laplace integral forms of some signals can be calculated with the table of integrals.

典型信号拉普拉斯变换有些信号的拉普拉斯积分式也积分表可查，但实际上还有一些信号是查不到的。

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• It increases the virtual samples by the method of combining mirror transform, integral map and geometric transform such as shifting, rotating and zooming.

镜像变换平移旋转、缩放几何变换手段积分投影等方法结合来增加虚拟样本

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• Mathematical representations for three kinds of reconstruction algorithms (Fresnel integral, convolution and Fourier transform) of digital hologram are deduced based on the diffraction theory.

衍射理论基础详细推导了再现算法(菲涅耳积分变换法、卷积法傅立叶变换法)数学表示

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• The fast Fourier transform (FFT) will bring on higher error under nonsynchronous sampling and truncated non-integral period, thus more accurate interharmonic parameter values cannot be obtained.

快速傅里叶变换同步采样非整数周期截断的情况存在较大误差无法获得精确间谐波参数

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• The Radon transform of the projection is calculated in the filtered process of exact reconstruction, Siddon and Simpson integral are used to sample the pixels to get the projection.

精确重建滤波过程，需要计算投影数据雷当变换，本文采用普通累加辛普森直线积分完成象素网格采样

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• The paper introduces a process of 3 1/2 bite digital voltage using double-integral style A/D transform 5G14433chip as the core.

介绍了选用双积分型A/D转换器5G14433芯片核心设计组装一个3（1/2）位数字电压表实现过程

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• Their results show that the dynamic boundary element method is effective in the analysis of soil-structure interaction. boundary integral equation, potential function. Laplace transform.

结果表明动力边界单元土一结构动力耦合效应问题中的分析种有效方法。

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• The input transform and state feedback are used for multivariable control system, and the integral servo tracking controller is designed for the decoupled systeins.

解决双转子涡喷发动机变量系统的控制问题，采用输入变换状态反馈的方法，耦后的系统设计了伺服跟踪控制器

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• The temperature profiles of the flames are calculated from measurements of the fringe shift by solving Abel-type integral equation with the Laplace transform.

根据一原理酒精灯火焰氢气火焰温度分布进行全息干涉计量

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• The temperature profiles of the flames are calculated from measurements of the fringe shift by solving Abel-type integral equation with the Laplace transform.

根据一原理酒精灯火焰氢气火焰温度分布进行全息干涉计量

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