Exponential distributions on semigroups

Three fundamental characterizations of the standard exponential distribution on [0, ) are the remaining life, memoryless and constant failure properties. Analogs of these properties are studied for distributions on a class of semigroups in which the semigroup operation replaces addition, a compatible partial order replaces the ordinary order, and a left-invariant measure replaces Lebesgue measure. Partial characterizations of exponential distributions on such semigroups are obtained and the semigroup formulation provides new characterizations of certain aging properties studied in reliability-increasing failure rate, new better than used, and increasing failure rate average.     

Countable network weight and multiplication of Borel sets

A space Borel multiplies with a space if each Borel set of is a member of the -algebra in generated by Borel rectangles. We show that a regular space Borel multiplies with every regular space if and only if has a countable network. We give an example of a Hausdorff space with a countable network which fails to Borel multiply with any non-separable metric space. In passing, we obtain a characterization of those spaces which Borel multiply with the space of countable ordinals, and an internal necessary and sufficient condition for to Borel multiply with every metric space.

     

Weak separation properties for self-similar sets

We develop a theory for self-similar sets in that fulfil the weak separation property of Lau and Ngai, which is weaker than the open set condition of Hutchinson.

     

Normal subgroups of

We classify the normal subgroups of of index less than 960; they are all congruence subgroups.

     

Coating and water permeation properties of SiO2 thin films prepared by the sol-gel method on nylon-6 substrates

Nylon-6 substrates were coated with SiO₂ thin films by the sol-gel method and their water permeability coefficient was evaluated. Methyltriethoxysilane (MTES) and tetraethoxysilane (TEOS) were used as starting materials. The addition of MTES to TEOS has enabled the formation of crack-free thin films on the substrates. The thin films strongly adhered to the substrates. The water permeability coefficients of nylon-6 substrates coated with these thin films decreased with the increase in the ratio of TEOS to the total alkoxides. The pretreatment of the nylon-6 substrates with -aminopropyltriethoxysilane was found to be effective to suppress the water permeability. The water permeability was suppressed by about 40% under the optimal condition.     

The least element property of center location on tree networks with applications to distance and precedence constrained problems

In the classicalp-center location model on a network there is a set of customers, and the primary objective is to selectp service centers that will minimize the maximum distance of a customer to a closest center. Suppose that thep centers receive their supplies from an existing central depot on the network, e.g. a warehouse. Thus, a secondary objective is to locate the centers that optimize the primary objective as close as possible to the central depot. We consider tree networks and twop-center models. We show that the set of optimal solutions to the primary objective has a semilattice structure with respect to some natural ordering. Using this property we prove that there is ap-center solution to the primary objective that simultaneously minimizes every secondary objective function which is monotone nondecreasing in the distances of thep centers from the existing central depot.Restricting the location models to a rooted path network (real line) we prove that the above results hold for the respective classicalp-median problems as well.     

硅灰石矿物发光原料中Fe2+的去除与CaSiO3∶Eu3+的光谱特性

提出了用草酸．邻菲哕啉去除硅灰石中Fe^2 的方法，研究了浸取剂的浓度、浸取时间和温度等条件对Fe^2 的去除率的影响，在最佳的浸取条件下，Fe^2 的去除率达到98．35％。在去除猝灭剂后的硅灰石矿物中，掺加适量的稀土激活剂Eu^3 ，通过高温固相法制成荧光发光材料，发光强度明显提高，接近于化学试剂合成的发光材料。     

聚醚酮酮（PEKK）／4，4′-二苯氧基二苯砜（DPODPS）多嵌段共聚物的合成与性能

采用溶液缩聚法由酰氯端基聚醚酮酮(PEKK)齐聚物和4，4′-二苯氧基二苯砜(DPODPS)制备了PEKK／DPODPS多嵌段共聚物，用DSC、TGA等方法对共聚物进行了表征和性能测试。结果表明，随着共聚物中DPODPS含量的增加，共聚物的熔融温度逐渐降低，而其玻璃化转变温度则逐渐升高。当DPODPS质量分数在32．63％～40．73％范围内时，所得共聚物的Tg为185～193℃，比纯PEKK的Tg高出20～28℃；其Tm为322～346℃，比纯PEKK的Tm降低35～59℃，这既保持了纯PEKK的耐热性，又改善了熔融加工性能。该组成范围内的共聚物的拉伸强度(σi)为86．6～84．2MPa，拉伸模量(M)为3．1～3．4GPa，断裂伸长率(ε)为18．5％～20．3％。     

多环麝香的分子结构和香气之间的关系

本文综述了多环麝香的当前进展,并提出了系统的分类方法。对各种多环麝香(茚满型,萘满型,异色满型,氢化引达省型,苊型)香味与分子结构之间关系的研究进行了总结,还作了比较。并描述了多环分子中环上取代基的性质,数量和位置对麝香香味的影响。     

稀土与含硫有机配体配合物的研究 Ⅳ.轻稀土元素与3-苯基-5-(呋喃-2)吡唑啉二硫代甲酸固体配合物的合成及性质

吡唑啉类化合物具有杀菌特性和植物生长调节作用,3-苯基-5-(呋喃-2)吡唑啉二硫代甲酸盐能与许多过渡金属离子形成稳定的配合物。而与稀土的配合物尚未报道。为考察稀土与含硫有机配体形成配合物的条件及该配合物的性质,我们在非水体系和保护气氛