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A CLASS OF SPECTRALLY ARBITRARY RAY PATTERNS
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作者 Jiangwu Deng 《Annals of Applied Mathematics》 2017年第3期254-265,共12页
An n × n ray pattern A is said to be spectrally arbitrary if for every monic nth degree polynomial f(x) with coefficients from C, there is a complex matrix in the ray pattern class of A such that its characteri... An n × n ray pattern A is said to be spectrally arbitrary if for every monic nth degree polynomial f(x) with coefficients from C, there is a complex matrix in the ray pattern class of A such that its characteristic polynomial is f(x). In this paper, a family ray patterns is proved to be spectrally arbitrary by using Nilpotent-Jacobian method. 展开更多
关键词 ray pattern Nilpotent-Jacobian method spectrally arbitrary
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A STUDY ON DEFORMATIONS OF RAY AND ITS RELEVANT FACTORS
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作者 徐祥德 《Acta meteorologica Sinica》 SCIE 1991年第5期638-648,共11页
In this paper,the effects of first and second meridional derivative(i.e.h_s~,d^2f/dy^2,″)of the Coriolis parameter,Westerly profile and topography structure on ray routes are qualitatively analysed by use of a sim- p... In this paper,the effects of first and second meridional derivative(i.e.h_s~,d^2f/dy^2,″)of the Coriolis parameter,Westerly profile and topography structure on ray routes are qualitatively analysed by use of a sim- plified mathematical model.The analysis indicates that the second derivatives of the above relevant factors play an important role in the formation of great circle route.A profile of west wind similar to the real atmosphere may result in a“sine wave pattern”of ray.The effects of west wind shear,β factor and the slope of topography on the scale of radius of great circle,critical latitude of rays ard the amplitude of wave train of teleconnection aro also discussed.Additionally,the characters of critical velocity profile for meridionally trapped wave are men- tioned. 展开更多
关键词 first and second meridional derivative “sine wave pattern”of ray great circle route
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