On the Meromorphic Solutions of Linear Differential Equations

In this paper, we investigate the growth of meromorphic solutions of higher order linear differential equation f^（k） ＋Ak-1 （z）e^Pk-1^（z） f^（k-1） ＋…＋A1 （z）e^P1（z） f′ ＋Ao（z）e^Po（z） f = 0 （k ≤ 2）, where Pj（z） （j = 0, 1,..., k - 1） are nonconstant polynomials such that deg Pj = n （j = 0, 1,..., k - 1） and Aj（z）（≠ 0） （j = 0, 1,..., k - 1） are meromorphic functions with order p（Aj） 〈 n （j = 0, 1,..., k - 1）.     

ROLE OF α-PSEUDO-UNIVEX FUNCTIONS IN VECTOR VARIATIONAL-LIKE INEQUALITY PROBLEMS

In this paper, we introduce a new class of generalized convex function, namely, a-pseudounivex function, by combining the concepts of pseudo-univex and α-invex functions. Further, we establish some relationships between vector variational-like inequality problems and vector optimization problems under the assumptions of α-pseudo-univex functions. Results obtained in this paper present a refinement and improvement of previously known results.     

LEARNING CAUSAL GRAPHS OF NONLINEAR STRUCTURAL VECTOR AUTOREGRESSIVE MODEL USING INFORMATION THEORY CRITERIA

Detection and clarification of cause-effect relationships among variables is an important problem in time series analysis. Traditional causality inference methods have a salient limitation that the model must be linear and with Gaussian noise. Although additive model regression can effectively infer the nonlinear causal relationships of additive nonlinear time series, it suffers from the limitation that contemporaneous causal relationships of variables must be linear and not always valid to test conditional independence relations. This paper provides a nonparametric method that employs both mutual information and conditional mutual information to identify causal structure of a class of nonlinear time series models, which extends the additive nonlinear times series to nonlinear structural vector autoregressive models. An algorithm is developed to learn the contemporaneous and the lagged causal relationships of variables. Simulations demonstrate the effectiveness of the nroosed method.     

New rapid transfer alignment method for SINS of airborne weapon systems

Transfer alignment is an effective alignment method for the strapdown inertial navigation system （SINS） of airborne weapon systems. The traditional transfer alignment methods for large misalignment angles alignment use nonlinear transfer align- ment models and incorporate nonlinear filtering. A rapid transfer alignment method with linear models and linear filtering for ar- bitrary misalignment angles is presented. Through the attitude quaternion decomposition, the purpose of transfer alignment is converted to estimate a constant quaternion. Employing special manipulations on measurement equation, velocity and attitude linear measurement equations are derived. Then the linear trans- fer alignment model for arbitrary misalignment angles is built. An adaptive Kalman filter is developed to handle modeling errors of the measurement noise statistics. Simulation results show feasibili- ty and effectiveness of the proposed method, which provides an alternative rapid transfer alignment method for airborne weapons.     

井井子沟芦草沟组沉积相研究

本文依据沉积学、层序地层学的基本方法与理论基础,结合实测剖面资料及前人所做部分成果,分析了准噶尔盆地博格达山前冲断带附近的井井子沟芦草沟组的沉积环境与发展演化,并依据相标志划分出沉积相。在完成研究地区的芦草沟组地层剖面野外实测工作后,推断出井井子沟大部分地层曾经处于湖泊环境,再进行细微的沉积相划分,可归纳出深湖到浅湖和滨浅湖两类沉积亚相。     

层次分析法在丽江市旅游景点选择中的应用

以丽江城区的4A景点木府、玉水寨和观音峡为例,主要考虑景点的景色、民族特色、费用、旅行时间和景区服务等因素.通过调查问卷的方式收集数据,利用层次分析法,建立能够全面了解景点的综合评价体系.该评价体系不仅可以为游客找到理想的旅游景点,而且也可以通过游客对景点的要求为景区管理者提供一些参考.     

基于问题解决的线性代数概念教学

概念是线性代数教学的基础,概念教学既是教学的重点,也是教学的难点.学生存在着为什么引入这些概念,为什么这样定义这些概念等疑问.教材中存在着概念引入分析不到位、概念强行引入等问题.教师作为学生与教材之间的纽带,必须按照"教师为主导,学生为主体"的教学原则,根据学生已有的知识基础,遵循"从具体到一般、从感性认识到理性认识"的认知规律,采取"探究式"教学方法,以适应"创新精神、创新意识和创新能力培养"的要求,审视概念的教学.教学实践表明,基于问题解决的线性代数概念教学是一个有效的方法.     

徐州地区馒头组旋回地层学研究

徐州地区寒武系发育完整,沉积标志清晰,旋回性明显,馒头组是华北板块东南地层区的代表性地层。经过对徐州大北望地区馒头组剖面的认真详细的观测、描述和分析,在旋回地层学理论中,尤其是米兰科维奇旋回的理论指导下,在馒头组划分出11种米级旋回序列类型,并探讨了各序列的岩相组成和沉积环境。单个米级旋回多属于六级旋回,以底部的快速海侵面开始,向上构成一个米级向上变浅序列。经分析,合并为11个五级旋回,两个半四级旋回,每个旋回均包含了一个完整的海进-海退序列。     

一种改进的全局和声搜索算法求解线性互补问题

给出求解线性互补问题的一个新方法。将线性互补问题等价地转化为绝对值方程,进而转化为一个不可微优化问题。提出了一个改进的和声搜索算法,算法使用位置更新和小概率变异策略。实验结果表明,本算法具有较强的全局搜索能力、数值稳定性好、参数少等优点。本方法对矩阵M无限制,适用于各类线性互补问题。     

不确定时滞中立系统的鲁棒能稳性条件

讨论了一类同时具有状态时滞和输入时滞的不确定中立系统的时滞依赖鲁棒能稳性条件.通过选择适当的Liapunov泛函,结合自由权矩阵思想和一些有用信息,以线性矩阵不等式的形式给出了不确定性中立系统的时滞依赖鲁棒能稳性条件,降低了原有文献的保守性,最后用数值算例验证了结论的可行性和有效性.