工矿企业能量平衡通用模式的研究

提出了适用于工矿企业能量平衡的一种通用模式，将与ＧＢ３４８４－８３《企业能量平衡通则》再增加“一表两图”──“企业能量平衡表”、“企业能源网络图”和“企业能流图”的效果相一致，能更加科学、合理地反映企业能量平衡的结果。     

镁改型蛭石对铵离子的交换性能

对经人工改型所得的镁型蛭石进行了铵离子交换性能的研究．在不同pH值下测定了镁型蛭石对NHr的全交换容量，在不同温度下测定了样品的平衡等温线．结果表明，镁型蛭石对NH4^ 的交换总量随pH值的变化而波动，在pH值为7时其交换总量为59．32mmol／100g，其选择性随温度的降低而升高，这为蛭石作为一种新型填料提供了一定的理论依据。     

EXPONENTIAL STABILITY AND PERIODIC SOLUTION OF HYBRID BIDIRECTIONAL ASSOCIATIVE MEMORY NEURAL NETWORKS WITH DISCRETE DELAYS

In this paper, we study the existence, uniqueness, and the global exponential stability of the periodic solution and equilibrium of hybrid bidirectional associative memory neural networks with discrete delays. By ingeniously importing real parameters di > 0 (i = 1,2, …, n) which can be adjusted, making use of the Lyapunov functional method and some analysis techniques, some new sufficient conditions are established. Our results generalize and improve the related results in [9]. These conditions can be used both to design globally exponentially stable and periodical oscillatory hybrid bidirectional associative neural networks with discrete delays, and to enlarge the area of designing neural networks. Our work has important significance in related theory and its application.     

Assembly and Photophysics of Ternary Luminescent Lanthanide Molecular Complex Systems

In this paper, according to the molecular fragment principle, a series of eight ternary luminescent lanthanide complex systems were assembled, and whose compositions were determined with elemental analysis and infrared spectrum: Ln(MA)₃(L)·H₂O, where Ln = Sm, Eu, Tb, Dy; HMA = α‐methylacrylic acid; L = 1,10‐phenanthroline (phen), 2,2′‐bipyridine (bipy). The photophysical properties of these functional molecular systems were studied with ultraviolet‐visible absorption spectrum, and fluorescence excitation and emission spectrum. It was found that the heterocylic compounds (phen and bipy) act as the main energy donor and luminescence sensitizer for their suitable energy match and effective energy transfer to the emission energy level of Ln³⁺ ions. MMA ligand was only used as the terminal structural ligand to influence the luminescence. Especially terbium complex systems show the strongest luminescence for the optimum energy match and transfer between phen (bipy) and Tb³⁺ ion.     

Fixed Point Theorems on Product Topological Spaces and Applications

A new collectively fixed point theorem for a family of set-valued mappings defined on product spaces of non-compact topological spaces without linear structure is proved and some special cases are also discussed. As applications, some non-empty intersection theorems of sets with convex sections and equilibrium existence theorem of abstract economies are obtained under much weaker assumptions. Our results includes a number of known results as many special cases.     

格序半群同余格LC（S）的完全分配性

本文首先引入值和正则Ｌ－同余的概念并讨论了正则Ｌ－同余的基本性质，在此基础上，给出了格ＬＣ（Ｓ）是完全分配格的几个等价刻化。     

高等代数与解析几何一体化教学思考

本探讨了高等代数与解析几何进行一体化教学的必要性，研究了高等代数与解析几何进行一体化教学以后教学内容的协调性与教学手段的合理性，强调了数学实验在高等代数与解析几何一体化教学中的重要性。     

带有边集限制的最均匀支撑树问题

本在无向网络中，建立了带有边集限制的最均匀支撑树问题的网络模型．中首先解决最均匀支撑树问题，并给出求无向网络中最均匀支撑树的多项式时间算法；然后，给出了求无向网络中带有边集限制的最小树多项式时间算法；最后，在已解决的两个问题的基础上解决了带有边集限制的最均匀支撑树问题．