In this paper, we studied the value distribution of solutions and their arbitrary-order derivatives of the higher-or- der non-homogeneous linear differential equation f(k) + Ak-1(z) f(k-1) +...+ A₁ (z) f' +A0(z) f=F(z), where the coefficients were analytic functions or meromorphic functions of finite [p,q]-order in the unit disc. We obtained some oscillation theorems for f(i)(z)-φ(z), which were generalizations and improvements of some previous theorems. [ABSTRACT FROM AUTHOR]
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This paper investigates the proximate order and proximate type of /1 + f 2 of entire functions and analytic functions in the unit disc by the Nevanlinna value distribution theory, where f 1 (z), f 2 (z) are en-tire functions o r analytic functions in the unit disc with the same order and different type. Some results are obtained which enrich and improve some previous results. [ABSTRACT FROM AUTHOR]
Considering the high demand of interest points' positioning precision for aerotriangulation of UAV images, this paper proposes an improved sub-pixel location method based on Harris algorithm. Firstly, Harris algorithm was used to detect the origin interest points. Secondly, a least square fitting of Taylor expansion to the image grey scale surface was done around the neighborhoods of each origin interest point and a Gaussian-distance algorithm was employed to determine the weight. Thirdly, sub-pixel location of the interest point was obtained by calculating the extremities of the derived function. Tests were done for eight kinds of computer-simulated images and three kinds of actual UAV images, experimental results show that our proposed method has the desired efficiency and noise immunity, the positioning accuracy can meet the requirements of aerotriangulation of UAV images. [ABSTRACT FROM AUTHOR]