Thermodynamic studies on thin liquid films. III: Miscibility in adsorbed films at film interfaces

Thermodynamic treatment of surfactant mixture was developed for the adsorption at interfaces of thin liquid films and applied to the study of the foam film stabilized by decyl methyl sulfoxide (DeMS) in the presence of NaCl. The total surface density of NaCl and DeMS and the mole fraction of DeMS in the adsorbed film at the film surface were numerically evaluated by applying thermodynamic equations to the film tension as a function of the total molality of NaCl and DeMS and the mole fraction of DeMS in the mixture. Miscibility of NaCl and DeMS at the film surface was clarified by a phase diagram of adsorption and compared with that at the meniscus adjacent to the foam film. Judging from a phase diagram of phase transition, the transition in the DeMS foam film between common black and Newton black films, observed in part II, is a negative azeotropic transformation caused by the attractive interaction between the head group of DeMS molecule and Na⁺ or Cl^– in the adsorbed film.     

农田周围杂草带中普通田鼠种群数量的季节变动特征及杂草带年龄和植被之间的关系

本文中我们采用标志重捕方法从2003到2004年11月,对栖息在野花带的普通田鼠种群结构和数量动态进行比较系统的研究.结果表明,这两年中种群密度夏季最大分别达到410个体/ha和641个体/ha,春季最少分别达到166个体/ha和153个体/ha,从7月份开始增长,8月份种群密度减少并在11月份开始重新增长.种群中雌性个体数量比较多,雌性在种群中的居留时间比较长同时存活率比雄性高,这种现象导致种群数量的季节变化.种群周转率比较高,在两个捕鼠期间种群中的80%个体被更新,这表明普通田鼠在野花带中的活动非常活跃,不断与周围的其它种群进行交流,提高种群对环境的适应能力.种群中雌雄个体的领域之间没有年间变化,它们的活动领域比较小,领域长度2003年平均为11米,最长为37.5米,2004年平均为13米,最长为52米.本研究中我们没有找到环境因素和种群数量动态之间的相关关系.     

Characterizations of common fixed points of one-parameter nonexpansive semigroups, and convergence theorems to common fixed points

We first prove characterizations of common fixed points of one-parameter nonexpansive semigroups. We next present convergence theorems to common fixed points.     

Common fixed point of generalized weakly contractive maps in partial metric spaces

In this paper, using the context of complete partial metric spaces, some common fixed point results of maps that satisfy the generalized (φ,ψ)-weak contractive conditions are obtained. Our results generalize, extend, unify, enrich and complement many existing results in the literature. Example are given showing the validaty of our results.     

度量空间上具有变系数的收缩条件的两个集值映射的公共不动点

在完备的度量空间上利用满足具有某种变系数的收缩条件或φ-收缩条件的两个集值映射构造了一个收敛序列,然后证明了该序列的唯一极限就是两个映射的公共不动点并给出了映射族存在唯一公共不动点的充分条件,同时给出了几个特殊结果.所得结果推广和改进了一些已有的结论.