Orlicz-Sobolev空间的中点局部一致凸性

本文研究了Orlicz-Sobolev空间的中点局部一致凸性，通过结合Orlicz空间和Sobolev空间的技巧得到分别赋Luxemburg范数和赋Orlicz范数的Orlicz-Sobolev空间具有中点局部一致凸性的充要条件．     

关于微分熵的一类强偏差定理

利用关于乘积分布密度的相对熵和相对熵率的概念,建立了相依连续型随机变量序列关于参考微分熵的一类强偏差定理,证明中给出了将Laplace变换应用于微分熵强偏差定理的研究的一种途径．     

GENERALIZED CIRCLES AND THEIR CONFORMAL MAPPING IN A SUBSPACE OF A WEYL SPACE

The authors give the necessary and sufficient conditions for a generalized circle in a Weyl hypersurface to be generalized circle in the enveloping Weyl space. They then obtain the neccessary and sufficient conditions under which a generalized concircular transformation of one Weyl space onto another induces a generalized transformation oil its subspaces. Finally, it is shown that any totally geodesic or totally umbilical hypersurface of a generalized concircularly flat Weyl space is also generalized concircularly flat.     

逆序数的应用

本文通过“1 4-1 5”智力玩具和最优戴断切割问题两个实例 ,讨论了逆序数在解决实际问题中的应用     

凸域内弦的平均长度

本文研究了凸域内弦的平均长度.通过广义支持函数与凸域的弦幂积分,建立了凸域内弦的平均长度的一般公式,并用此公式得出了圆域和矩形域内弦的平均长度.     

Synthesis, Crystal Structure and Electrochemical Properties of a Novel Phenothiazine Derivative

A new compound 1,1‘-bis(3-pyridyl)-propylene(3,7-diformyl-N-ethylphenothiazinyl)ketone (C30H23N3O2S, Mr = 489.4) has been synthesized, and its crystal structure was determined by single-crystal X-ray diffraction method. The crystal is of orthorhombic, space group Ima2 with a = 27.491 (5), b = 11.942(2), c = 7.389(2) A, V = 2425.8(7) A^3, Z = 8, Dc =1.340 g/cm^3,μ = 0,167 mm ^1, F(000) = 1024, the final R = 0.0363 and wR = 0.0869 for 2054 unique reflections with Rint = 0.0254. The structural determination shows that the molecule assumes a butterfly configuration with nearly planar wings. In addition, the electrochemical study indicates that there is a high electronic delocalization in the molecule.     

新显色剂2-(2-咪唑偶氮)-5-二甲氨基苯甲酸与镍(Ⅱ)的显色反应研究

研究了新显色剂2-(2-咪唑偶氮)-5-二甲氨基苯甲酸(IZDBA)与Ni(Ⅱ)的显色反应。结果表明,在pH 6.0的HAc-NaAc缓冲溶液中,IZDBA可与Ni(Ⅱ)形成一种配合比为2∶1的稳定红色配合物,其最大吸收波长位于580 nm处,而试剂的最大吸收波长为390nm,对比度为190 nm。配合物的表观摩尔吸光系数为2.95×104L.mol-1.cm-1;Ni(Ⅱ)量在0~0.8 mg/L范围内遵守比耳定律。在硫脲和氟化铵存在下,方法可直接用于测定镍催化剂和铸造铝合金中的微量镍。本法与原子吸收光谱法相对照,结果基本一致。     

Eu(Ⅲ)与EHPG配合反应的循环伏安特性和光谱研究

在0.02mol/LpH6.0的HAc-NaAc缓冲溶液和室温条件下,用循环伏安法、荧光光谱和紫外差光谱研究了Eu3 与N,N′-亚乙基-二[2-(2-羟基苯基)甘氨酸](EHPG)的配合反应。结果表明,Eu3 与EHPG形成1/1的配合物。循环伏安法测定Eu3 在-0.2～-1.2V电位扫描范围内裸玻碳电极上有一对氧化还原峰,EHPG无电化学活性,Eu-EHPG在电极上呈现准可逆电化学行为。荧光光谱测定表明,随着Eu3 的不断滴加EHPG在310nm处的最大荧光峰强度逐渐降低。而其紫外差光谱在240nm和293nm处的吸收峰逐渐增强,当Eu3 达到一定量时,在310nm处的荧光强度、240nm和292nm处的吸收峰强度不再发生变化。通过计算,在240nm处配合物Eu-EHPG的摩尔吸光系数为Δε=19.06×103cm-1.mol-1.L,条件稳定常数为lgKEu-EHPG=13.90。     

Formation and Structure of [Al_(13)(μ_3-OH)_6(μ_2-OH)_6(μ_2-OH)_(12)(H_2O)_(24)]Cl_(15)·13H_2O

1 INTRODUCTION At present, the polyaluminium compounds are mainly studied by single-crystal X-ray diffraction method to obtain the components, structures and exis- tence forms of aluminium in hydrolysis system, and then hydrolysis courses and mechanisms of each hydrolytic polyaluminium cation could be further dis- closed[1～5]. Generally, the single crystals suitable for X-ray diffraction are obtained from the crystallization of polyaluminium cations into sulfates or selenates. Following …     

二甲醚电氧化及其阳极催化剂研究

Anode electro-catalysts for direct dimethyl-ether fuel cell (DDFC), Pt/C, PtRu/C (1∶1) and PtSn/C (3∶2), were prepared by chemical impregnation-reduction method with formaldehyde as the reductant. DME electro-oxidation and adsorption at Pt electrode and Pt electro-catalysts were investigated by Cyclic Voltammetry(CV), Quasi-steady state polarization and Gas Chromatography(GC). CV showed that there were two current peaks of DME electro-oxidation at Pt electrode around 0.8V (vs RHE); DME was adsorbed at Pt electrode more weakly and slowly than oxygen, methanol, even hydrogen; the onset potential of DME oxidation was 50mV less than that of methanol, and DME peak potential 110 mV lower, thus more advantageous for using in fuel cells than methanol. GC showed that small amount of HCHO was generated during DME electro-oxidation. The mechanism of DME electro-oxidation was proposed. Among the three electro-catalysts (Pt/C, PtRu/C and PtSn/C), Pt alloy catalysts, especially PtRu/C, showed a higher performance toward DME electro-oxidation, as in the case of methanol. Temperature experiments showed that both DME electro-oxidation and adsorption on Pt and Pt alloy catalysts were favored with increased temperature.