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61. Efficient calculating method for zonal polynomials is the key of good approximation for hypergeometric function with matrix argument.

62. Approximation and recovery of band - limited functions from shift - invariant operators is studied.

63. This type of approximation is made at a finite number of points.

64. A successive approximation quasi - Newton method for solving nonlinear complementarity problems is proposed.

65. Based on the thermodynamic model of ideal gas of cosmic strings, the string tension is calculated by the saddle point approximation and the expression of string tension is obtained.

66. The resulting sample average approximation problem is then solved by deterministic optimization technique.

67. In the thesis, I introduce a new method to calculate the amplitude for gluon radiation on the base of helicity amplitude approximation (HAA).

68. Methods:The error resulted by the Gauss-Newton method is analyzed, and optimum estimate by gradual approximation is obtained.

69. Under certain stability conditions, error analysis is carried out in the maximum norm, and optimal approximation results are derived.

70. Using the cascade algorithm, the discrete approximation sequences of wavelet packet basis functions are computed.

71. The second one, well, we know the approximation formula already, so I don't need to justify it for you.

72. The paper emphasizes on the methods of polynomial surface approximation which is part of numerical approximations, and analyzes the precision of polynomial function model through the measured data.

73. The results indicate that approximation algorithm is convenient and reliable to the engineering applications.

74. The jellium model in a certain approximation leads to the equation.

75. All Phase least square approximation to the discontinuous signal is also introduced with less error than the traditional method.

76. A constant input is especially required in a successive approximation converter because the input is compared with a reference several times over the conversion period.

77. By using the unified colored noise approximation method, the master equation for probability density,[sentencedict.com] the steady state probability distribution function and its extrema equation are derived.

78. The focus will be on modeling and engineering approximation schemes that describe the thermodynamics and kinetics of electrochemical systems.

79. While for the sinusoidal approximation method, a detail derivation of the amplitude of each sinusoidal function is re-derived for completeness.

80. We must seek two main approximation methods of solution, the variation method and perturbation theory.

81. By use of numerical approximation method, the paper uses the polynomial to approach segmentally the transient electric field from dipole dipole array.

82. To a very good approximation the total energy is conserved.

83. The successive approximation converter is of medium speed, and average resolution.

84. It is found that for a properly chosen zeroth order Hamiltonian, under adiabatic approximation, the result of quantization for both the chaotic state and the regular state has the similar precision.

84. Sentencedict.com try its best to collect and build good sentences.

85. From the Hamiltonian of the atomic system, making use of Born - Markoff approximation, the optical Bloch equations are derived.

86. In this paper the optimal design problem of the diffusion-fission cross section for a dynamical reactor is considered on the basis of the simple energy static diffusion approximation equation.

87. An approximation formula for the estimation of variance threshold is derived and shown quite close to simulation for data length larger than 24.

88. The concepts of rough set approximation operators under various fuzzy environment are defined. The representation theorems of the fuzzy approximation operators are examined.

89. Successive approximation method is adopted in the design, manufacture, and test of freeform optics.

90. The black - disk approximation used so far reproduces the coarse features, but not the finer details.