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,(/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.

31. By applying formal asymptotic analysis and Laplace transformation, we obtain two-dimensional model system of linearly viscoelastic "flexural" shell from three-dimensional equations.

32. Laplace, the astronomer , was still at work when death caught up with him at seventy - eight.

33. In order to improve the quality of Laplace operator image segmentation at a high real time capability this paper presented a synchronization dimensional structure filter for Laplace operator.

34. Two matrices have to be calculated when solving plane Laplace equation by the use of BEM.

35. On the basis of the superposition principle and Laplace transformation, the process of the transient state under different short circuit states of induction machine is analyzed.

36. Then by using multi-dimension Laplace transform, the computation formula of nonlinear transfer function matrices for MIMO bilinear system are deduced.

37. In this thesis, the Finite Element Method is applied to the solution of the Laplace equation formulated by means of stream function for the calculation of the static hydraulic thrust.

38. 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.

39. Infiltration pressure models fabricating MMC by the squeeze infiltration method are established according to the basic principle of hydromechanics and Laplace equation.

40. A Laplace transform finite element method for solving the dynamic coupled ther-moelasic bending problems of thin plates was proposed based on the variational principle of theProbems.

41. By using the Laplace transform technique, the one-dimensional analytical solution of dynamic response for biphasic saturated porous media.

42. In this paper I have strictly derived these formulae about Landau Diamagnetism by using the theory of statistical mechanics of ideal Fermi system and Laplace transformation.

43. In electric field calculation: electric field in circuit breaker is described by cylinder Laplace equation.

44. It is a pure real number operation and just needs calculations for a small number of values of Laplace transform variables (12 values for one sample time). So it is a rather rapid algorithm.

45. For the boundary element solution of the two dimensional Laplace equation, the calculation of two coefficient integral matrices is always needed.

46. It is calculated, in this paper, by means of combing Laplace"s integral transformation and singular function."

47. The three-dimensional model of an underwater explosion bubble near a surface ship is described. The boundary integral method is used to solve Laplace equation based on potential-flow theory.

48. In addition, we also introduced a numerical algorithm of inverse Laplace transform, which only needs a few Laplace variables in pure real domain.

49. The introduction of the synchronization dimensional structure filter makes the Laplace operator improve the segmentation quality with a high real time capability by the original arithmetic.

50. By the relationship of Laplace transform and Z-transform, the ARMA time series model for this system is obtained.

51. The vibration and sound radiation of a submerged spherical shell in the time-domain are studied by Laplace transform method, in which a pulse force is acted at the apex of the shell.

52. The laplace interpolation method involving rectangular space coordinates is used to make track planning for the manipulator's polishing and to calculate the anticipated movement track.

53. Furthermore, we shall give Pinching-estimate for general equation and the proof of n-dimensional for the Laplace equation and an application of Hamilton tensor maximum principle.

54. With the thought of "perturbation", this paper analyes the solution of Laplace equation for poles having irregular boundary.

55. Named for Pierre-Simon Laplace, the equation states that the sum of the second partial derivatives (the Laplace operator, or Laplacian) of an unknown function is zero.

56. Beside this two models, this paper proposes the application of Laplace transform method to calculate the damping coefficients of pneumatic actuator motion.

57. A general solution and the stress intensity factor are obtained in term of series expansion, which satisfies both Laplace equation and the permeable boundary condition.

58. It gives how to analyse the dynamic network Usmg the Laplace transform after doing the transform from time - domain to complex frequency domain.

59. The numerical manifold method of Laplace equation was presented, it was also more general than the minimum potential energy principle to obtain the governing equations of the NMM.

60. In line with the Laplace equation and by using the spline function B with arbitrary distribution nodes, the calculation of the higher even derivatives were get through with.

61. It takes neither differential equation nor Laplace transformation. Instead , some algebraic Methods: Will do.

62. The PK of the non-parenteral zero-order release and the first-order release was analyzed mainly by means of the Laplace Transform.

63. Assume linear, time-harmonic potential flow and utilize Green identity, the governing Laplace equation can be simplified into Fredholm integral equation of the second kind.

64. It is complicated and hard-controlled for beginner to solve the Laplace equation in the static electricity field.

65. Therefore, in the computation of the time response of a seismograph it is better to use the transfer function, from which the time response may be obtained by the inverse Laplace transformation.

66. Based on the gas flowing equation, each unit dynamic mathematical model was established using linearization and Laplace transform.

67. 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.

68. By making use of variational methods, we obtain two positive solutions ofp(x)-Laplace equation, which generlizes the corresponding relusts of Laplace equation.

69. The complex potential function method is combined with the semi - analytical method to solve 2 D Laplace problems.

70. Topics for the electric field mathematics include: The integral form of Coulomb's Law, Gauss's Law, the equations of Laplace and Poisson, and the divergence theorem.

71. It is found by contrast that the typical curves here approach the Laplace typical curves gradually as the number of terms in infinite series increases.

72. Governing equations adopted are Stokes equation for momentum and Laplace equation for energy.

73. The diagrammatic representation and Laplace method are presented on trend test of test-fix.

74. The analysis show that the finite difference method based on the free boundary problem and the laplace method based on the free boundary problem are two good numerical methods.

75. Interations are commonly used in solving Laplace equation , Poison equation , or use implicit scheme to solve differential equation(s).

76. This paper is based on the operation matrix and develop a numerical inversion of Laplace transform method.

76. Wish you can benefit from our online sentence dictionary and make progress day by day!

77. For the Laplace equation, using this formula can save the inner storage cell of computer by3/4, and, at the same time, quicken the convergence rate without increasing any additional computing works.

78. For certain initial conditions, we need only calculate their high order Laplace operator, then we can obtain the accurate solution of the initial value problem.

79. Lecture # 21 : Convolution formula: proof, connection with Laplace transform, application to physical problems.

80. Based on the limited momentum propagation velocity, this paper presents the solution of the transient momentum equation by laplace transform. The distribution functions of velocity and eddy are given.

81. In evaluation of errors of precise capacitors due to geometric, imperfection, one has to solve Laplace equation subject to irregular boundary condition.

82. Under the ordinary exciting signal, this method of calculation is just in the same form as that for inverse Laplace transformation of rational fraction by partial fraction expansion.

83. A new algorithm for Laplace transformation of function product shuffle product is studied in this paper.

84. The high - order boundary conditions for the problems of Laplace equation in infinite region hare been developed.

85. Laplace transformation, array, vector, determinate, linear equation set, Fourier series, partial differential equations.

86. Includes loading an image, can be binary, opening and closing operations, corrosion, grayscale, Laplace operator, add watermark and other operations.

87. The solutions of this model are determined using the Laplace transform with respect to time and a numerical Laplace inversion technique.