值型线性双层规划的共轭对偶及最优性条件

利用DC规划的Frenchel-Rockafellar对偶规划的思想, 提出了值型线性双层规划的共轭值型双层规划对偶. 证明了原规划和对偶规划之间的强对偶性定理, 并给出其相关的最优解条件.     

带有双障碍的反射倒向随机微分方程的逆比较定理

讨论了带有双障碍的反射倒向随机微分方程的逆比较问题，在适当的条件下建立了几个关于其生成元的逆比较定理.     

非光滑广义B—凸性与最优性和对偶性

利用Ｃｌａｒｋｅ广义方向导数讨论了局部Ｌｉｐｓｃｈｉｔｚ函数的性质。借此定义了一类广泛的（Ｂ，η）－不变凸性函数。得到了此类函数的非线性规划、多目标规划和极大极小规划的最优性和对偶性结果。     

被困的灵魂——《八月之光》中乔安娜·伯顿的双重性分析

白人的种族优越性和家庭使命的重负,使乔安娜的本能欲望遭受严重的压抑。在欲望决堤后,她虽深陷其中不能自拔,却无时无刻不在精神上忍受着煎熬。正是种族优越性和家庭使命造成的精神上的禁锢,使乔安娜的举止具有双重性并酿成了她的最后悲剧。     

几种思维方法在物理学习中的应用

通过举例说明几种思维方法在物理学习中的应用。     

M理论的进展

本介绍超弦理论与Ｍ理论的发展，展示了人们在追求物理基本理论的统一过程中，Ｍ理论所表现出的卓越特色。我们试图集中在主要物理思想的描述，略去繁琐的计算，其中包含了重要的概念，如对偶性，超对称性，超引力，Ｄ－ｂｒａｎｅｓ等。     

电场能量新计算公式的推导和验证

根据磁与电的对偶性，提出了电场能量的第三种表达式，并进行了理论推导和举例验证。得到了与磁场能对偶的电场能新表达式。此式明确地表达了电场能是由自有能构成的物理特性，为利用互有能求多导体系统任意对导体之间的电场力提供了方便。     

从动词 ahead看逆向思维在词汇中的应用

英语中短语动词数目繁多，结构极为复杂。论述了动词＋ａｈｅａｄ构成的短语动词。从逆向思维角度出发，剖析短语动词的特性以及在各种情景中所体现的丰富多彩的意义，并探讨逆向思维在词汇研究中的应用与作用。     

负折射物质特性的理论分析

从基本的电磁场理论出发,分析和解释负折射物质的电磁特性,以及负折射物质中的逆Cerenlov现象、逆Doppler现象、负折射率和完美透镜的工作原理,帮助人们更加清楚地认识负折射物质的本质特性,更好地开发和应用好负折射物质.     

Inconsistencies in Constituent Theories of World Views: Quantum Mechanical Examples

We put forward the hypothesis that there exist three basic attitudes towards inconsistencies within world views: (1) The inconsistency is tolerated temporarily and is viewed as an expression of a temporary lack of knowledge due to an incomplete or wrong theory. The resolution of the inconsistency is believed to be inherent to the improvement of the theory. This improvement ultimately resolves the contradiction and therefore we call this attitude the ‘regularising’ attitude; (2) The inconsistency is tolerated and both contradicting elements in the theory are retained. This attitude integrates the inconsistency and leads to a paraconsistent calculus; therefore we will call it the paraconsistent attitude. (3) In the third attitude, both elements of inconsistency are considered to be false and the ‘real situation’ is considered something different that can not be described by the theory constructively. This indicates the incompleteness of the theory, and leads us to a paracomplete calculus; therefore we call it the paracomplete attitude. We illustrate these three attitudes by means of two ‘paradoxical’ situations in quantum mechanics, the wave-particle duality and the situation of non locality. This revised version was published online in July 2006 with corrections to the Cover Date.