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This technique is used for the axisymmetric magneticstatic problems and the result is good. In the second example of the forth chapter, the error of the third–order Asymptotic Boundary Condition is lower than that of the second-order Asympototic Boundary Condition.

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The electronic structure and magnetism of clusters Nin(n=2-6) have been studied by spin-polarized MS-Xα method. The results show that the effect of the cluster symmetry on its atomic magnetic moment and electronic density of states is very notable.

采用MS-Xα方法研究了Nin (n=2—6)原子簇的電子結(jié)構(gòu)和原子磁矩，發(fā)現(xiàn)團簇的幾何對稱性對原子磁矩和電子態(tài)密度的分布有重要影響直接看的黄色网址。

The modified double weight function method is to introduce new weight functions doing subtraction between two negative exponential-type functions. For a Pearson type three probability distribution, the MDWF is able to make estimations of the Standard Deviation and Coefficient of Skewness C(subscript S from the second-order weighted central moments reduced to the first-order weighted central moment estimations.

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In 1988, Song Dedun and Ding Jing further verified that the distributions whose inverse forms must be explicitly defined could by no means be a prerequisite for using the PWM method, and they applied PWM method successfully to the estimation of parameters in Pearson Type-Ill distribution (P-III distribution) although this sort of distribution nev...

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The equations of optimal probability density function of stochastic variable or limit state function are derived by use of the higher moments of the function.

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The random errors of main factors in flood regulation process are identified; and combining flood forecast, the randomnesses of main parameters such as initial reservoir level, inflow flood, outflow flood, etc., are analyzed. By using the first order second moment method and theoretic distribution, the random distributions of parameters are described then the routing process of a certain preflood limit water level is random, which can well reflect the random preflood influences in actual regulation.

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This problem is also important and valuable in Nonlinear Optics. It will be very helpful to understand how the aberrations affect the course of three- wave mixing, such as the change of conversion efficiency, the distribution of intensity and phase.Small signal solution of aberrated second harmonic generation is deduced from three-dimension three wave coupling functions. The numerical work gives out lot of results of different aberrations. The effects of the fundamental waves aberrations, which will change the conversion efficiency, distribution of intensity and phase in the frequency conversion, is analyzed. It shows that when walk-off and diffraction effects could be ignored approximately estimation of the phase distribution of second-harmonic wave could be done. The far field divergent angle and second moment radius of harmonic wave will vary with the aberration of fundamental wave, but the far field divergent angle will be obviously smaller than that of fundamental wave. The phase distribution of both fundamental and harmonic wave is measured using Hartmann-Shack wave front sensor in the experiment with 1064nm and 790nm lasers, respectively. Results are given.

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