几何造型中的裁剪曲面

在深入研究裁剪曲面的基础上，本文引入３种关于裁剪曲面的规范化操作及相应的逆操作，并运用扩展的欧拉公式给予合理性验证，并进一步提出了构造裁剪曲面几何（ＣＴＳＧ）这一概念，探索边界表示向构造实体几何（ＣＳＧ）转换的新途径。     

固体粉末的分形几何体尖端烧结模型

本文提出一个分形几何模型(Fractal geometry model)。用它描述固体粉末体系的结构特征,并在此基础上建立了单金属粉末体系烧结过程的动力学模型。以单分子反应为例,研究了与烧结有关的若干因素。将理论预测与已有实验进行比较,得到了较满意的结果。     

高阶非线性非完整系统的相对论性广义Boltzmann—Hamel方程

本文由万有D'Alembert原理推导出高阶非线性非完整系统的相对论性广义Boltzmann-Hamcl方程。     

Connecting Conditions and Constraint Equations in Applied Science

IntroductionIn applied science , e . g . machinery , vibrationmechanics , fluid mechanics , and management science , toobtain the opti mal solution of some issues , the objectfunction is usually shown since the abstract mathematicsmodel is set , and all kinds of boundary conditions andconnecting conditions or constraint conditions are putforward . Above these conditions are shown with the shapesof constraint equations . For example ,in machinery opti maldesign, to get the opti mal solution of …     

空间体验的几何、物质和时间维度

从欧氏几何空间,建筑空间的物质属性和空间的时间性3个方面进行论述,从空间概念的由来、空间概念和现代建筑运动的紧密关系、物质材料对空间的直接影响、空间和时间体验等方面出发,展开讨论,对空间概念进行多方位多层次的解析,旨在对被经常论及的"空间"概念进行更深层次的探讨.     

Algebraic Self-Dualityc as the ”Ultimate Explanation”

Shahn Majids philosophy of physics is critically presented. In his view the postulate that the universe should be self-explaining implies that no fundamental theory of physics is complete unless it is self-dual. Majid shows that bicrossproduct Hopf algebras have this property. His philosophy is compared with other approaches to the ultimate explanation and briefly analyzed.     

Global analysis theory of climate system and its applications

The idea and main theoretical results of the global analysis theory of climate system are briefly summarized in this paper. A theorem on the global behavior of climate system is given, i.e. there exists a global attractor in the dynamical equations of climate, any state of climate system will be evolved into the global attractor as time increases,indicating the nonlinear adjustment process of climate system to external forcing. The different effects of external forcing, dissipation and nonlinearity on the long-term behavior of solutions are pointed out, and some main applications of the global analysis theory are also introduced. Especially, three applications, the adjustment and evolution processes of climate, the principle of numerical model design and the optimally numerical integration, are discussed.