探求高等数学中的对称美

高等数学中的对称关分为三类：形式和结构的对称性、命题关系中的对偶性及解题策略中的对称法。     

B（X）上保点谱的可加映射和初等算子

记Ｘ为复数域上无限维Ｂａｎａｃｈ空间，Ｈ为无限维复可分Ｈｉｌｅｒｔ空间。本文给出Ｂ（Ｘ）上保持点谱的满射可加射具有的形式，以及Ｂ（Ｈ）上某些初等算子保点谱的充要条件。     

优化路问题的代数方法—论动态规划（Ⅱ）

本文用同一思路求解多阶段有向图中三种优化路问题:最优路、N阶最优路及多指标Pareto优化路问题,它们都服从嘉量原理,都用同一个代数公式表达它们的嘉量,并可在同一种表格中进行计算,只是所在半域不同,以本文的方法讨论动态规划中一些离散决定型典型应用问题,其提法、建模思路以及求解过程都有可观的扩大与改善。     

Ge_x Si_(1-x)/Si超晶格中纵声学声子的喇曼散射强度研究

本文用光弹理论,在全面考虑了超晶格中两种材料的声速,质量密度和光弹常数存在差别的基础上,计算了Ge_xSi_(1-x)/Si超晶格中折迭纵声学声子的喇曼散射强度,在高达50cm~(-1)的频率范围内,理论值和实验符合得很好。     

Solitary wave solutions and cnoidal wave solutions to the combined KdV and mKdV equation

This paper presents a mapping approach for the construction of exact solutions to the combined KdV and mKdV equation. There exist two types of soliton solutions which will reduce back to those of the KdV and mKdV equations in some appropriate limits. Four types of the general cnoidal wave solutions are also obtained.     

改革高校经济学教育的思考

为强化素质教育,培养全球性经济背景下的科技人才,高校的经济学教育应通过组织新的经济学教材和改革教学方法,培养学生获得知识、应用知识并创造新知识等五种基本技能,达到经济学教育的基本目标.     

用~13CNMR波谱技术研究烃源岩显微组分的化学结构与成烃潜力

取１７个烃源岩的显微组分，用￣１３ＣＮＭＲ波谱技术进行了化学结构与成烃潜力的研究，按照脂碳的丰度与油气潜力碳的大小，各组分可按如下顺序排列：藻类体、树脂体、角质体、孢子体、木栓质体、镜质体、惰性体．以惰性碳、油潜力碳与气潜力碳划分显微组分为三组成，并构成三元图，藻类体位于图的上部，相当于Ｉ型干酪根；各稳定组分位于图的中部，相应干Ⅱ型干酚根；镜质体与惰质体位于图的左下部，相当于Ⅲ型干酪根．据此，可从烃源岩显微组分的分析组成估算它的生油与生气潜力     

Irradiation-induced reduction and luminescence properties of Sm doped in BaBPO5

Usually, Sm²⁺ ions could be reduced by heating the materials in reducing atmospheres. Exposure to ionizing radiations is also known to cause Sm³⁺→Sm²⁺ conversion. In this work, BaBPO₅ doped with the samarium ion was prepared by high temperature solid-state reaction. Sm²⁺ ions were obtained by two different reduction methods, i.e., heating in H₂ reduced atmosphere and X-ray irradiation. The measurements of X-ray diffraction (XRD), and scanning electron microscope (SEM) were investigated. It is found that the conversion of Sm³⁺→Sm²⁺ is very efficient in BaBPO₅ hosts after X-ray irradiation. Sm²⁺ ions under these two reduction methods exhibit different characteristics that were studied by measurements of luminescence and decay. The results showed that the luminescence properties of Sm²⁺ ions in BaBPO₅ were highly dependent on the sample preparation conditions.