Value sharing results for shifts of meromorphic functions

In this paper, we deal with the value distribution of difference products of entire functions, and present some result on two difference products of entire functions sharing one value with the same multiplicities. The research findings also include an analogue for shift of a well-known conjecture by Brück. Our theorems improve the results of I. Laine and C.C. Yang [I. Laine, C.C. Yang, Value distribution of difference polynomials, Proc. Japan Acad. Ser. A Math. Sci. 83 (2007) 148-151], K. Liu and L.Z. Yang [K. Liu, L.Z. Yang, Value distribution of the difference operator, Arch. Math. 92 (2009) 270-278], and J. Heittokangas et al. [J. Heittokangas, R. Korhonen, I. Laine, J. Rieppo, J.L. Zhang, Value sharing results for shifts of meromorphic function, and sufficient conditions for periodicity, J. Math. Anal. Appl. 355 (2009) 352-363]. Moreover, we show by illustrating a number of examples that our results are best possible in certain senses.     

自动铺丝平行等距轨迹规划算法实现

针对复合材料自动铺丝技术轨迹规划问题,提出了一种新的基于测地线的平行等距轨迹规划算法.该算法首先将已知的第一条轨迹线在曲面上等弧长离散得到若干数据点,然后在数据点处曲线切矢和曲面法矢的向量积方向上利用测地线的短程性获得下一条铺放轨迹上数据点,并利用B样条曲线拟和数据点生成铺放轨迹,最后使轨迹线铺满模具表面.算法中测地线利用微分方程组数值求解得到,以曲面曲线弧长为自变量,可实现等距线求解的自适应步长调整和较高的精度.经实际算例验证,该算法简单实用,精度能够满足铺丝技术工艺要求.     

Early Aerobic Exercise Combined with Hydrogen-Rich Saline as Preconditioning Protects Myocardial Injury Induced by Acute Myocardial Infarction in Rats

Applied Biochemistry and Biotechnology - The feasibility of microalgae cultivation using cooking cocoon wastewater (CCW) collected from a silk production factory was investigated in this work....     

On matrices related with Fibonacci and Lucas numbers

In this paper, we obtain some new results on matrices related with Fibonacci numbers and Lucas numbers. Also, we derive the relation between Pell numbers and its companion sequence by using our representations.     

Imaginary eigenvalues of Zakharov–Shabat problems with non-zero background

The focusing Zakharov–Shabat scattering problem on the infinite line with non-zero boundary conditions for the potential is studied, and sufficient conditions on the potential are identified to ensure that the problem admits only purely imaginary discrete eigenvalues. The results, which generalize previous work by Klaus and Shaw, are applicable to the study of solutions of the focusing nonlinear Schrödinger equation with non-zero background.     

X-cor夹层结构剪切模量有限元分析

通过显微镜观察X-cor夹层结构中的Z-pin端部树脂区,提出树脂区椭圆形态的基本假设并给出描述树脂区细观结构的参数方程,建立了一个集结构设计与几何分析为一体的X-cor夹层结构几何分析模型.根据几何分析模型,利用大型有限元软件ANSYS建立X-cor夹层结构剪切模量的有限元模型并计算了剪切模量,研究了Z-pin植入角度、直径和密度的改变对X-cor夹层结构剪切模量的影响.分析结果表明：剪切模量随Z-pin植入角度增加而增加,而且随Z-pin直径和密度增加而增加.通过有限元模型计算,得到了Z-pin结构参数对X-cor夹层结构剪切模量的影响规律,数值计算结果误差范围是±10%,验证了所提有限元模型的合理性,这说明该模型可用于预测其剪切模量.     

涉及微分多项式的亚纯函数唯一性

本文研究了[fn(f-1)m](k)和[gn(g-1)m](k)分担1CM的唯一性问题,其中f和g为超越亚纯函数.此外,我们的定理在一定程度上推广了张晓宇等人的结果。     

Utility indifference valuation of corporate bond with rating migration risk

A pricing model for a corporate bond with rating migration risk is established in this article. With the technology of utility-indifference valuation under the Markov-modulated framework, we analyze the price of a multi-rating bond and obtain closed formulae in a three-rating case. Based on the pricing formulae, the impacts of the parameters on the indifference price are analyzed and some reasonable financial explanations are provided as well.     

Tungstate-mediated In-situ Passivation of Grain Boundary Grooves in Perovskite Solar Cells

Possessed with advantageous optoelectronic properties, perovskites have boosted the rapid development of solution-processed solar cells. The performance of perovskite solar cells (PSCs) is significantly weakened by the carrier loss at grain boundary grooves (GBGs); however, it receives limited attention and there lacks effective approach to solve this issue. Herein, for the first time, we constructed the tungstate/perovskite heterointerface via a “two step” in situ reaction approach that provides effective defect passivation and ensures efficient carrier dynamics at the GBGs. The exposed perovskite at grain boundaries is converted to wide-band-gap PbWO₄ via an in-situ reaction between Pb²⁺ and tungstate ions, which passivate defects due to the strong ionic bonding. Moreover, recombination loss is further suppressed via the heterointerface energetics modification based on an additional transformation from PbWO₄ to CaWO₄. PSCs based on this groove modification strategy showed good universality in both normal and inverted structure, with an improved efficiency of 23.25 % in the n-i-p device and 23.33 % in the p-i-n device. Stable power output of the modified device could maintain 91.7 % after around 1100 h, and the device efficiency could retain 92.5 % after aging in air for around 2110 h, and 93.1 % after aging at 85 °C in N₂ for 972 h.