Laplace

1. However, Laplace expansion is efficient for small matrices only.: 但是，拉普拉斯展开仅对小型矩阵有效。

2. Laplace at seventy-eight died young.: 拉普拉斯78岁逝世时依然年轻。

3. With Laplace transforms, the question can be solved in Laplace d.: 利用拉普拉斯变换，将定解问题转换到拉普拉斯域内求解。

4. The generalized Riesz summability operators of Laplace series are introduced.: 引进了拉普拉斯级数的广义黎斯可和算子。

5. The Laplace space solution of this model can be derived by Laplace transforms.: 利用拉氏变换方法求出该模型在拉氏空间的解。

6. Two matrices have to be calculated when solving plane Laplace equation by the use of BEM.: 用边界元方法求解平面拉普拉斯方程时必须计算两个矩阵。

7. The laplace-transform method is only applicable to the frequency domain analysis for linear circuits.: 拉普拉斯变换法只适用于线性电路的频域分析。

8. Finally, by applying Laplace numerical inversion technique the solutions in time domain can be obtained.: 最后应用拉普拉斯数值反演技术得到时间域的解。

9. This paper presents the solutions in Laplace space derived by point-source function and Green's function.: 首先用点源函数和格林函数法，推导出拉普拉斯空间线源解。

10. Using Laplace transforms and a continued fraction method, the distribution of buffer content is achieved.: 运用拉氏变换和连分数的方法求得了缓冲器容量的稳态分布。

11. A method for determining kinetics rate constants of complex reactions by using Laplace transform is proposed.: 本文提出了用拉普拉斯变换求复杂网络反应动力学速度常数的方法。

12. Two solving methods are deduced using Laplace transform: the direct solving method and the state-space method.: 运用拉普拉斯变换推导出其两种求解方法：直接求解法和状态空间法。

13. By the relationship of Laplace transform and Z-transform, the ARMA time series model for this system is obtained.: 应用拉氏变换和Z变换间关系，得到系统的ARMA时间序列模型。

14. Poisson theorem and De Moivre-Laplace theorem present the approximate calculation formula of binomial distribution.: 泊松定理、隶莫佛-拉普拉斯定理给出了二项分布的近似计算公式。

15. After Laplace transformation of the above equations, the viscoelastic problems become elastic problems under the phase space.: 通过拉普拉斯变换，将粘弹性问题归结为相空间中类似弹性力学问题。

16. Then the numerical inversion of Laplace transform (NILT) is employed for the time domain response of the interconnect circuits.: 在此基础上运用数值反拉普拉斯变换(nilt)法分析互连电路的时域响应。

17. Methods Fast Multipole Boundary Element Method, the method of solving the singularity, and the method of Laplace Transformation.: 目的研究基于多极边界元法的三维位势问题解的奇异性处理方法。

18. It will introduce the responses of the step, ramp and impulse input for mechanical and circuit systems by using Laplace transform.: 本课程将介绍机械与电路等系统的模式，利用拉氏转换决定步阶，斜坡及脉冲等输入的响应。

19. Based on the gas flowing equation, each unit dynamic mathematical model was established using linearization and Laplace transform.: 根据气体流动方程，通过线性化和拉氏变换，建立各单元的动态数学模型。

20. This paper presents the analysis of the vertical viscoelastic dynamic responses of pipe group by Laplace numerical inversion method.: 应用担普拉斯数值反演方法分析了群桩垂向粘弹性动力反应。

21. By using the Laplace transform technique, the one-dimensional analytical solution of dynamic response for biphasic saturated porous media.: 并利用拉普拉斯变换技术，得到了液饱和两相多孔介质一维问题的动力响应解析解。

22. The double permeability reservoirs with skin and wellbore storage effects are studied by using Laplace-Weber dual integration transformations.: 本文对于考虑井筒储集效应和表皮效应情况下的双重渗透率问题进行了研究。

23. MathCAD combines a large library of functional capability including calculus, Laplace transforms, Bessel functions, statistics, and financial functions.: 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。

24. This was also stated in my Sobel and Laplace edge detection tutorial, but I just wanted reemphasize the point of why you would want to detect edges.: 这也是我在索贝尔和拉普拉斯边缘检测教程，但我只是想再次强调这一点的，为什么你会要检测的边缘。

25. Then by using multi-dimension Laplace transform, the computation formula of nonlinear transfer function matrices for MIMO bilinear system are deduced.: 然后，利用多维拉普拉斯变换，推导出双线性系统非线性传递函数矩阵的计算公式。

26. But climate simulations at the Institut Pierre Simon Laplace in Paris, reported in Astrophysical Journal Letters, reveal two possible flaws in that argument.: 但是，巴黎拉普拉斯学院的气候模拟研究所发表在《天体物理学杂志通讯》的报告指出，上述观点存在两个漏洞。

27. But climate simulations at the Institut Pierre Simon Laplace in Paris, reported in Astrophysical Journal Letters, reveal two possible flaws in that argument.: 但是，巴黎拉普拉斯学院的气候模拟研究所发表在《天体物理学杂志通讯》的报告指出，上述观点存在两个漏洞。

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