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1·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，可用来解决特定类型的偏微分方程序。

2·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的方法推导出了四边固支矩形厚板位移和内力的精确解。

3·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.

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。

4·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上的反平面运动裂纹问题的分析解。

5·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。

6·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.

给出一种解析方法求解在两种热载荷冲击作用下，正交各向异性圆柱体的动应力和磁场矢量扰动的集中效应。

7·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.

分别用积分变换法和奇异摄动法，导出了数学模型在拉氏域内的解和时间域内的近似解析解，并用导得的解进行模型参数估值。

8·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。

9·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.

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。

10·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。