磁性Co/TiB2室温高效催化氨硼烷产氢及串联降解有机污染物

通过熔盐法制备TiB₂载体,并采用简单的沉淀-沉积法制备了Co/TiB₂磁性可回收纳米催化剂,用于室温催化氨硼烷（NH₃BH₃）溶液产氢及串联降解对硝基苯酚（4-NP）及偶氮染料酸性橙7（AO7）、酸性红1（AR1）和甲基橙（MO）等有机污染物。采用X射线衍射、扫描电子显微镜、透射电子显微镜、X射线光电子能谱、振动样品磁强计等表征方法对催化剂的微观形貌和结构等进行分析。结果表明,Co纳米粒子均匀地分布在TiB₂载体表面,晶粒尺寸约为40 nm,并且被TiB₂载体包覆,具有典型的金属-载体强相互作用。Co/TiB₂表现出优异的室温催化NH₃BH₃溶液产氢活性,产氢速率为565.8 mol_H2·mol_cat^-1·h^-1。在串联降解有机污染物反应中,Co/TiB₂在7 min内催化4-NP氨基化的转化率接近100%,反应速率常数高达0.72 min^-1;降解AO7的反应速率常数在3种偶氮染料中最高（0.34 min^-1）。通过EPR-DMPO（EPR=电子顺磁共振,DMPO=5,5-二甲基-1-吡咯啉-N-氧化物）自由基捕获实验检测出Co/TiB₂+NH₃BH₃催化体系中产生大量的氢自由基（·H）。得益于·H的强还原性,Co/TiB₂+NH₃BH₃催化体系能够将4-NP氨基化为具有更高价值的对氨基苯酚（4-AP）,同时能够还原偶氮染料分子中的显色基团偶氮基（—N=N—）。     

发酵法黄腐酸磺化产物减水性能的研究

以腐植酸（HA）类新技术产品－发酵法黄腐酸（BFA）的磺化（磺甲基化）产物为研究对象,就其物化特性和泡沫性能以及表面活性、水泥净浆流动度和减水率等一系列减水性能进行了较系统的考察和研究,并与常用减水剂木钙（木质磺酸钙）对比,提出发酵法黄腐酸应用于混凝土减水剂的可能性。文中还对BFA磺化（磺甲基化）产物的减水机理进行了探讨。     

利用有限向量空间的子空间构作二元(s,l)叠加码

一个二元叠加码(s,l)-码在许多领域有着极为广泛的应用.利用有限域F_q上的向量空间的子空间构作了矩阵M_q(m,d,k),并证明了它是一个(s,l)一码,计算了(s,l)-码的参数.     

Equivalent conditions on periodic feedback stabilization for linear periodic evolution equations

This paper studies the periodic feedback stabilization for a class of linear T  -periodic evolution equations. Several equivalent conditions on the linear periodic feedback stabilization are obtained. These conditions are related to the following subjects: the attainable subspace of the controlled evolution equation under consideration; the unstable subspace (of the evolution equation with the null control) provided by the Kato projection; the Poincaré map associated with the evolution equation with the null control; and two unique continuation properties for the dual equations on different time horizons [0,T]$[0,T]$ and [0,_n0T]$[0,n_{0}T]$ (where _n0$n_0$ is the sum of algebraic multiplicities of distinct unstable eigenvalues of the Poincaré map). It is also proved that a T-periodic controlled evolution equation is linear T-periodic feedback stabilizable if and only if it is linear T-periodic feedback stabilizable with respect to a finite-dimensional subspace. Some applications to heat equations with time-periodic potentials are presented.     

Norm-attaining functionals onC(Q, X)

Functionals (vector measures) defined on the spaceC(Q, X) of continuous abstract functions (whereQ is a compact Hausdorff space andX is a Banach space) and attaining their norm on the unit sphere are considered. A characterization of such functionals is given in terms of the Radon-Nikodym derivative of the vector measure with respect to the variation of the measure and in terms of analogs of the derivative. Applications to the characterization of finite-codimensional subspaces with the best approximation property are given. Similar results are obtained for the spaceB(Q, Σ, X) of uniform limits of simple functions. Translated fromMatematicheskie Zametki, Vol. 61, No. 1, pp. 45–56, January, 1997. Translated by V. E. Nazaikinskii     

The algebraic structure ofH-dissipative operators in a finite-dimensional space

We study properties of Jordan representations ofH-dissipative operators in a finite-dimensional indefiniteH-space. An algebraic proof is given of the fact that such operators always have maximal semidefinite invariant subspaces. Translated fromMatematicheskie Zametki, Vol. 63, No. 2, pp. 163–169, February, 1998. The authors axe grateful to Professor A. A. Shkalikov for useful discussions. The research of the first author was supported by INTAS under grant No. 93-0249. The research of the second author was supported by the International Science Foundation and the Russian Government under grant No. NZP300.     

关于线性子空间交的基

给出求两个子空间交的基的一般方法     

Two storage inventory model in a mixed environment

Multi-item inventory models with two storage facility and bulk release pattern are developed with linearly time dependent demand in a finite time horizon under crisp, stochastic and fuzzy-stochastic environments. Here different inventory parameters—holding costs, ordering costs, purchase costs, etc.—are assumed as probabilistic or fuzzy in nature. In particular cases stochastic and crisp models are derived. Models are formulated as profit maximization principle and three different approaches are proposed for solution. In the first approach, fuzzy extension principle is used to find membership function of the objective function and then it’s Graded Mean Integration Value (GMIV) for different optimistic levels are taken as equivalent stochastic objectives. Then the stochastic model is transformed to a constraint multi-objective programming problem using Stochastic Non-linear Programming (SNLP) technique. The multi-objective problems are transferred to single objective problems using Interactive Fuzzy Satisfising (IFS) technique. Finally, a Region Reducing Genetic Algorithm (RRGA) based on entropy has been developed and implemented to solve the single objective problems. In the second approach, the above GMIV (which is stochastic in nature) is optimized with some degree of probability and using SNLP technique model is transferred to an equivalent single objective crisp problem and solved using RRGA. In the third approach, objective function is optimized with some degree of possibility/necessity and following this approach model is transformed to an equivalent constrained stochastic programming problem. Then it is transformed to an equivalent single objective crisp problem using SNLP technique and solved via RRGA. The models are illustrated with some numerical examples and some sensitivity analyses have been presented.     

A new q-analogue of the sum of cubes

A new q-analogue of the sum of cubes is given with a combinatorial interpretation on the lattice of subspaces.