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1. Like Laplace in his famous reply to Napoleon, Humean atheists have no need for the theistic hypothesis.

2. Because of this the technique of Laplace transformation is relevant to deducing the transient responses of networks.

3. Laplace at seventy-eight died young.

4. Laplace retired to Melun, a small city near Paris.

5. Impulse hyperbolic partial differential equation oscillation higher order Laplace operator.

6. Finally, it is easy to move form the Laplace domain into frequency domain.

7. When time domain solutions are required, the Laplace transform method is straightforward.

8. 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.

9. According to the Laplace equation satisfied by the voltage distribution of inter-electrode gap in ECM, an algorithm of cathode design is presented in the paper, error adjusting method.

10. Laplace at seventy - eight died young. He was still unsatisfied, still sure that he had a lot to learn.

11. In this paper, Laplace transform is applied to solve a solution of mixed question which satisfies the second boundry condition of the wave equation.

12. Using Laplace transforms and a continued fraction method, the distribution of buffer content is achieved.

13. To illustrate the partial fraction method, suppose that the inverse Laplace transform of the simple function is needed.

14. This is, of course, precisely the divinity with which Napoleon teased Laplace.

15. The book is self - contained , with appendices included on elementary matrix and Laplace transforms.

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

17. The formula for the beam's impact force was deduced by using the Galerkin Principle and Laplace Transform.

18. In this paper, solution to improper integral has been got by using Laplace transform and inverse Laplace transform to improper integral with variable.

19. In PS ALT, we obtain the Bayesian estimation of each parameter and marginal posterior density when the prior density of shape parameter is continuous using Laplace method under CE model.

20. The motion equation of the structure is in both time domain and Laplace domain.

21. Objective: This paper introduces an edge detection method of blood cell image, which is based on (wavelet transform WT) and( laplace operator LO).

22. It will introduce the responses of the step, ramp and impulse input for mechanical and circuit systems by using Laplace transform.

23. This paper studies the estimate values of the bounds of Laplace energy, as well as the upper and lower bounds of graph energy for a simple graph.

24. Then the problems with constant water temperatures are solved by means of Laplace transform.

25. Using both the fundamental solution of the fundamental equation and the boundary element method, the boundary integral equation in Laplace domain are obtained and solved numerically.

26. The testing curves of 200 wells are matched by using Laplace transform and inverse operation to determine the time-limit of each stage and the practical software is also edited.

27. First smoothing process was applied to the video images,(sentencedict.com/laplace.html) and then the number of the oil holes in the appointed depths was calculated out by the edge detection of Gauss Laplace operator.

28. The closed form solution can be obtained from method of S - transformation: a variation of Laplace transformation.

29. At first, we get the integro-differential equation satisfied by the expected discounted penalty function by using the method of renewal, and hence Laplace transform of it is derived.

30. At the same time, using the inverse transformation of Laplace to find the solution of differential equation.