某些图论问题的进展

本文介绍了图论中某些问题的进展情况,其中问题1-50是Bondy和Murty著的"图论及其应用"一书附录Ⅳ中的问题,问题51-90是从其它方面收集来的新问题.     

D.C.优化的最速下降法的收敛性

Some properties of a class of quasi-differentiable functions(the difference of two finite convex functions) are considered in this paper. And the convergence of the steepest descent algorithm for unconstrained and constrained quasi-differentiable programming is proved.     

古典风险模型的破产概率与M/G/1忙期的最大工作量的分布

本文考虑了古典风险模型与排队论中M/G/1模型关系, 利用古典风险模型的破产概率导出了M/G/1中一个忙期内最大工作量的分布.     

弱相对非扩张映像不动点单调CQ算法与应用

Kamimura和Takahashi$^{[7]}$证明了相对非扩张映像CQ迭代算法的强收敛定理.该文构造了单调CQ算法, 用来逼近弱相对非扩张映像不动点, 证明了强收敛定理. 并将结果应用于逼近Banach空间极大单调算子的零点. 单调CQ算法比目前的CQ算法收敛速度快. 另外, 为证明弱相对非扩张映像不动点强收敛定理,该文运用了新的Cauchy列证明方法, 而不用Kadec-Klee性质, 该文结果改进了S.Matsushita 和 W.Takahashi及其它人的结果.     

Studies on The Adsorption Capacity for Bilirubin of The Adsorbent Chitosan-β-Cyclodextrin

Bilirubin is a metabolite of heme from hemoglobin in the blood. Disorders in its successive metabolism or excretion may cause the accumulation of the unconjugated bilirubin in blood of the patients who suffer from hyperbilirubinemia. The accumulation of bilirubin can cause serious tissue damage1,2. Hyperbilirubinemia may be treated by the removal of bilirubin from body. The ways for its removal include phototherapy, orally administered sorbents3 and adsorbents for hemoperfusion. Successful he…     

打开物质微观结构的大门--电子发现者J.J.汤姆孙

简要地论述了阴极射线的研究和电子的发现过程，以及J.J.汤姆孙和勒纳德在这些研究中的贡献。     

π-π interactions in the self-assembly of melamine and barbituric acid derivatives

Self-assembly of a pair of complementary molecular components, 5-(4-dodecyloxyben-zylidene)-(1H,3H)-2,4,6-pyrimidinetrione (PB12) and 4-amino-2,6-didodecylamino-1, 3, 5-triazine (M12) was studied by cyclic voltammogram, surface photovoltage spectroscopy, fluorescence spectroscopy, FTIR and X-ray diffraction. It is found that after mixing equimolar amount of PB12 and M12 at room temperature, not only triply complementary hydrogen bonds are formed between PB12 and M12 but also further self-assembly of the supermolecules based on network of hydrogen bonds occurs via π-π interactions. During the self-assembly of the supermolecules, π-π interactions are induced by delocalized interactions between the HOMO of M12 and the LUMO of PB12, resulting in the formation of a supramolecular nanotube with a layered structure bearing a d value of 0.41 nm and PB12 and M12are arranged alternatively between adjacent supermolecules.     

羧甲基壳聚糖对Eu^3＋离子吸附性能的研究

以壳聚糖为原料,在碱性条件下合成了羧甲基壳聚糖,考察了其对稀土离子Eu3 的吸附性能.讨论了时间,溶液的酸度、初始离子浓度、羧甲基取代度及离子强度对吸附性能的影响.发现羧甲基壳聚糖对Eu3 有较强的吸附性,吸附性满足Langmir等温式.     

BaCo_(0.02)~IICo_(0.04)~IIIBi_(0.94)O_3/BaSb_(0.04)Sn_(0.96)O_3复合热敏厚膜电学性能研究

采用丝网印刷工艺制备了BaCoII0.02CoIII0.04Bi0.94O3/BaSb0.04Sn0.96O3复合热敏厚膜。借助X射线衍射仪、扫描电子显微镜和阻温测试仪对复合热敏厚膜的微结构、电学性能进行了表征分析。结果表明复合热敏厚膜主相仍为钙钛矿结构的BaCoII0.02CoIII0.04Bi0.94O3和BaSb0.04Sn0.96O3,厚膜表面随BaCoII0.02CoIII0.04Bi0.94O3含量增加趋于致密均匀。复合热敏厚膜的烧结温度、室温电阻率(ρ25)、热敏常数(β25/85)和活化能(E a)随BaCoII0.02CoIII0.04Bi0.94O3含量的增加呈现下降趋势,其烧结温度、ρ25、β25/85和E a分别处于870~1000℃、2.5 kΩ·cm~2.35 MΩ·cm、2764~4030 K和0.238~0.348 eV范围内。