从球面到光滑流形映射的Munkholm型定理

本文应用 Smith周期变换理论 ,根据球面在周期变换下的指数 ,对球面到光滑流形的连续映射做了进一步探讨 ,从而得到了 Munkholm型定理 .     

中学化学概念探究教学初探——以氧化还原反应教学为例

中学化学概念教学的目的是让学生能够真正理解概念,形成并发展科学认识,面对化学概念教学中存在的诸多问题,如何提高中学化学概念教学的效果?如何开展中学化学概念的探究教学?本研究构建了适合学生具有前概念的探究教学模式,并以氧化还原反应教学为例,进行了初步的实践研究,提出了中学化学概念探究教学的核心策略.     

从球面到欧几里得空间的连续映射的性质及其应用

In this paper, we study the property of continuous mappings from a sphere to the Euclidean space. By using the theory of the periodic transformation in algebraic topology, we obtain a generalized Borsuk-Ulam theorem and then give some applications of the theorem.     

从球面到紧致光滑流形的连续映射

本文研究了球面到紧致光滑流形的连续映射的性质.利用Brouwer映射度理论和微分拓扑的基本方法,得到了Munkholm型定理.     

生物种群在污染环境中的生灭过程

建立了生物种群在污染环境中的一个线性生灭过程模型.利用马尔可夫过程的理论和方法,得到生物种群数量变化的概率分布,最后讨论了各模型参数的变化对生物种群生存的影响.     

异苯并二氢吡喃衍生物新合成方法的研究

用新方法合成了一系列异苯并二氢吡喃衍生物。其特点是产率高, 反应时间短, 成本低, 污染小。所合成的异色满麝香均经元素分析, 红外光谱和核磁共振谱予以证实。     

药物透皮参数的估计与研究

参考透皮给药的大量实验数据,选择一种非线性回归模型作为相应的数学模型,并通过这一模型中的透皮系数作为被估计的参数完成了这一工作,同时给出了对20种药物的不同渗透系数的估计．最后的讨论中发现,这一工作进一步支持了将皮肤视作单层渗透膜的理论．     

二溴对甲偶氮羧吸光光度法联合测定钡铁氧体中钡和锶

比较研究了二溴对甲偶氮羧与Ba~(2 )和Sr~(2 )的显色反应,在磷酸介质中Ba~(2 )的显色反应是高选择性的,允许6倍量锶存在;在硼酸-硼酸钠缓冲介质中,在一定的浓度范围内,显色配合物的吸光度具有加和性.拟定了钡铁氧体中钡与锶的联合测定新方法,分析结果满意.     

FINITE ELEMENT METHOD ON NUMERICAL SIMULATION OF STRATUM CORNEUM''''S PENETRATION PROPERTY

How the outer substance could penetrate through the skin lies in the stratum corneum, because it is the main barrier in the multi-layers of the skin. Supposing the keratin cell with a special geometry as tetrakaidecahedron, the penetration property of stratum corneum was the key problem which was numerically simulated with finite element method. At first the discretization of the stratum corneum region was given in two steps: first, the discretization of the keratin cell; second, the discretization of fattiness that surrounds the keratin. Then there was the work of numerical simulation. In this procedure, the finite element method and the multi-grid method were used. The former was to obtain the discretization of basic elements; the latter was to decrease the high frequency error. At last the visualization of the numerical simulation was shown.     

FINITE ELEMENT METHOD ON NUMERICAL SIMULATION OF STRATUM CORNEUM＇S PENETRATION PROPERTY

How the outer substance could penetrate through the skin lies in the stratum corneum, because it is the main barrier in the multi-layers of the skin. Supposing the keratin cell with a special geometry as tetrakaidecahedron, the penetration property of stratum corneum was the key problem which was numerically simulated with finite element method. At first the discretization of the stratum corneum region was given in two steps： first, the discretization of the keratin cell; second, the discretization of fattiness that surrounds the keratin. Then there was the work of numerical simulation. In this procedure, the finite element method and the multi-grid method were used. The former was to obtain the discretization of basic elements; the latter was to decrease the high frequency error. At last the visualization of the numerical simulation was shown.