By using the expansion of spherical wave functions for a cylindrical wave function and with the help of the theory of hypergeometric functions, the Sommerfeld type integral contained in the electromagnetic fields is expressed as a rapidly and absolutely convergent series of spherical wave functions; and the coefficients of the series are the Legender Polynomials with the complex argument for the constitutive parameter.

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By using the expansion of spherical wave functions for a cylindrical wave function and with the help of the theory of hypergeometric functions, the Sommerfeld type integral contained in the electromagnetic fields is expressed as a rapidly and absolutely convergent series of spherical wave functions; and the coefficients of the series are the Legender Polyno...

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The object of projectile design is analyzed, and the layer-TOPSIS method is provided for the evaluation of total effectiveness by taking the layer concept into the TOPSIS method. In the calculation of object weights, the grade calculation method is suggested, which has less dependence on the subjectivity of decision-maker and can take account of both sensitivity and allowableness of objects, the geometric-arithmetic method is provided for grade weight calculation and methods for sensitive weight and allowable weight are given. Of modes in system analyzing, the penetration model of target with spherical-fragment is carried out based on the theory of Dynamic Spherical Cavity Expansion, and it is a supplement of the models for calculation the damage of the fragmentation warhead to target.

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The scattering properties of particles with different shape parameters are simulated respectively in the modes of reflection and refraction. Both in the modes of reflection and refraction, the phase difference of non-spherical particle's PDA signal is the unbiased estimate of the corresponding phase difference of ideal spherical particle, and the standard deviation of angle roughness scale on particle surface impacts little on the distribution of phase difference.

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In order to calculate the electric field intensities of spherical electrode s in 3-D electrostatic fields precisely, the spherical surface curve quadrangular BEM based on spherical systems is put forward.

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Therefore in the teaching students should be made to actuallyfeel that spherical geometry knowledge can be used to solve or explainsome real problems in both life and production, to reach the relatedconclusions about spherical geometry by comparing it with Euclideangeometry, and to have anidea of some non-Euclidean geometry models aswell as differences between flat geomtry models and spherical geometry ones.

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Spherical harmonics is of importance for spherical signal analysis. This paper matches shape similarity among images by a spherical harmonic descriptor.

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Theorem 1: If a spherical triangle spherical triangle to the other extreme triangle , the other spherical triangle ...

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An initial spherical parameterization is firstly constructed by lifting planar parameterization to the sphere through the stereographic projection. Then we introduce an efficient approach based on bary centric coordinate to improve the initial spherical parameterization. At last, a uniform spherical parameterization is generated by a Moebius transformation.

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The device comprises an arc discharge vacuum chamber; wherein, the arc discharge vacuum chamber is connected with a vacuum pump and is internally provided with a graphite cathode and a graphite anode which are connected with a DC supply. The device is characterized in that the graphite cathode and the graphite anode are respectively provided with an upper spherical crown shape graphite plate and a lower spherical crown shape graphite plate which are matched with each other and formed a spherical crown shape capacitor.

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