| 1. | Laplace transformation the uniqueness of primitive function and inverseimage function
象函数的唯一性问题 |
| 2. | Bilateral laplace transformation
双侧拉普拉斯变换 |
| 3. | Inverse laplace transformation
拉普拉斯逆变换 |
| 4. | A laplace transformation method forevaluation of the ruin probability for risk model with diffusion
带扩散风险模型破产概率的拉普拉斯变换方法 |
| 5. | The laplace transformation comes from the area of operational mathematics and is extremely useful analysis and design of linear systems
拉氏变换来自工程数学，对分析和设计线性系统非常有用。 |
| 6. | Laplace transformation , array , vector , determinate , linear equation set , fourier series , partial differential equations
本课程介绍拉普拉斯转换、矩阵、向量、行列式、线性方程组、傅立叶级数、偏微分方程式。 |
| 7. | In traditional theory of signal and system , the relationship between single side laplace transformation and fourier transformation exists faults . the theory from this paper overcomes these faults
摘要在传统的信号与系统理论中，单边拉氏变换和傅氏变换关系存在瑕疵。文中给出的单边拉氏变换和傅氏变换关系的理论克服了传统理论的瑕疵。 |
| 8. | This paper deals with the fundamental principle of the laplace transformation and discusses its applications in solving problems of differential equation with coefficients , solving integral eqution and calculating generalized integral
摘要阐述了拉普拉斯变换的基本原理，讨论了它在解常微分方程（组）初值问题、解积分方程以及广义积分计算这3个方面的应用。 |
| 9. | The main original work includes : 1 . with laplace transformation , the solution for longitudinal vibration of a pile with variable cross - section is derived when surrounding soil is simulated respectively with normal voigt model and normal maxwell model
主要工作包括： 1 、采用拉氏变换法分别得到了标准voigt模型和标准maxwell模型条件下成层土中任意段变截面桩纵向振动解。 |
| 10. | A homogenization - based method for predicting the viscoelastic property of multi - layered composite material is presented . by laplace transforming the governing equation of the viscoellastic problem of jointed rock , the dependent relation of the laplace transformation of the effective relaxation modulus of jointed rock on the joint distribution was derived by applying the homogenization method in laplace transformed domain . then , the effective relaxation modulus was obtained from the inverse transformation
首先对层状复合材料粘弹性问题的控制方程进行laplace变换，在像空间中利用均匀化理论建立宏观松弛模量的laplace变化与各层形式的依赖关系解析表达式，通过laplace逆变换可获得等效松弛模量预测的解析表达式，并给出了体积变形为弹性、剪切变形符合三元件模型的单向节理岩石的粘弹性松弛模量预测的数值算例。 |
