解释结构模型在专业课程体系结构解析中的应用——以信息管理与信息系统专业为例

以信息管理与信息系统专业为例,引入解释结构模型对专业课程体系结构进行解析,通过设计区域划分算法,对专业课程体系进行子系统划分,从而提炼出若干专业方向;通过设计层级划分算法,并利用其对专业课程体系进行层级划分,形成课程间的衔接关系,为培养方案制订及教学计划优化提供了有力支撑。提出连通度的概念,并利用其筛选核心元素,为主干课程的确定提供了理论依据,通过子系统划分、层级划分及主干课程确定,建立了专业课程体系的多级递阶结构,为专业课程体系解析提供了方法指导。     

B~n上推广的Roper-Suffridge算子的性质

讨论改进后的Roper-Suffridge延拓算子保持双全纯映照子族的性质.借助双全纯映照子族的解析特征及其偏差结论,得到改进后的Roper-Suffridge延拓算子在一定条件下保持α次殆β型螺形映照、α次β型螺形映照、强β型螺形映照的性质,从而得到改进后的算子在一定条件下保持α次殆星形性、α次星形性和强星形性.所得结论为在多复变数空间中构造这些双全纯映照提供了一种新的途径.     

Output tracking and synchronization of chaotic Chua’s circuit with disturbances via model predictive regulator

In this paper, we consider the output tracking and synchronization problem for a piecewise linear chaotic Chua’s circuit, which is expected to follow the reference signal generated by another autonomous chaotic Chua’s circuit. A novel model predictive regulator is proposed to guarantee the chaos synchronization in the presence of external disturbance. Moreover with this regulator, the optimal transient tracking performance for synchronization is ensured even when the piecewise autonomous and controlled Chua’s circuits switch asynchronously. The proposed approach is highly efficient in the sense that the regulation conditions can be satisfied by solving a set of linear matrix inequalities and several Sylvester equations instead of many partial differential regulator equations in the well-known nonlinear output regulation theory.     

标准体系的比例型寿命使用期模型与分析

本文在基于标准被废除按比例进行时的标准体系使用期的两个新模型。首先给出了模型假设条件,然后定义了标准使用期。根据假设给出了两个模型条件下的标准使用期公式,最后通过数值示例说明了标准使用期的公式使用。     

Consecutive-(r,f,k)out-of-n:F和Consecutive(f,g)-out-of-(r,n):F线性系统的可靠性

Consecutive-(r,f,k)-out-of-n:F系统由n个单元顺序连结而成,仅当在连续的r个单元中,至少有f个失效或者至少连续k个失效,整个系统才失效;而Consecutive-(f,g)-out-of-(r,n):F系统由n个单元顺序连结而成,仅当在整个系统中至少有f个失效或者在连续的r个单元中,至少有g个失效,整个系统才失效。本文运用马氏链嵌入方法,在单元之间相互独立以及单元之间马氏相关这两种情况下,给出线性系统的可靠性。     

带有潜伏期的狂犬病模型及控制策略研究

研究建立了狗与人两个群体的SEIR狂犬病模型,把狂犬病潜伏期阶段的传染性加入到模型中,利用遗传算法对1996年到2015年的数据进行拟合,估出了中国狂犬病的基本再生数R0≈1.66,证明了狂犬病无病平衡点的全局稳定性以及模型的一致持续性.根据数值模拟结果,发现处于潜伏期的犬类对人类狂犬病造成威胁.因此控制狂犬病的一个关键措施就是要做好犬的管理,减少与犬只的接触,这对抑制狂犬病的爆发有着重要的作用,也为我国狂犬病的控制提供了可靠的理论依据.     

Statistical analysis of Fe abundances gradients in the Galaxy

Using the high precision data of the proper motions and parallaxes from Hipparcos catalogue, we obtained the orbital parameters of 1302 stars in the Galaxy based on the mass distribution model provided by Allen and Santillón. Fe abundances of 1295 stars among our samples were analyzed. With the correlation analyses between [Fe/H] and orbital parameters, we obtained that the Fe gradient is - 0.057 ± 0.007 dex/kpc along the direction of the maximum galactocentric distance (hereafter DG_max) in the range of 8.5 kpc < DG_max < 17 kpc. We also got the result that the vertical gradient is steeper than the radial gradient. Furthermore, we divided the samples into two subgroups: giants and dwarfs; F, G and K stars; and then analyzed them respectively. Our results show that the gradient becomes flatter and flatter from giants to dwarfs, from F type to G and K type stars. We also divided the samples into disk and halo stars using maximum vertical distance Z_max = 1 kpc as the criterion and got the result that the abundances of the disk stars are much higher than that of the halo stars. Our work suggests the existence of the galactic gradient and supports those chemlcal evolution medels which show that the halo was formed before the disk at the early stage of the Galaxy.     

Minimizing multi-homogeneous Bézout numbers by a local search method

Consider the multi-homogeneous homotopy continuation method for solving a system of polynomial equations. For any partition of variables, the multi-homogeneous Bézout number bounds the number of isolated solution curves one has to follow in the method. This paper presents a local search method for finding a partition of variables with minimal multi-homogeneous Bézout number. As with any other local search method, it may give a local minimum rather than the minimum over all possible homogenizations. Numerical examples show the efficiency of this local search method.

     

浅水方程近岸行为的数值模拟

二维浅水流动几乎仅在水平方向上,这一特点容许在数学形式上对ＮＳ方程进行简化：通过描述水流运动的平均行为而使得问题降低一维［１０］,从而在数值上表现为大大减少计算量,这一相对简单性正是浅水方程之所以吸引如此多的计算数学家和流体力学家关注的原因之一．通过降维而减少计算量的思想在深水方程中表现为通过边界积分法而捕捉气液交界面的行为［１］． 浅水方程的数值模拟在计算机出现的早期就开始得到应用．在本世纪四十年代后期,Ｃｈａｒｎｅｙ等人就利用它做了大气的数值模拟［２］,Ｈａｎｓｅｎ数值模拟了海洋流动［５］．…