分配问题的多角度分析

从数理逻辑、整数规划和博弈论三方面对分配问题进行分析,介绍不同的数学分支在分配问题中的应用.     

Controllable immobilization of polyacrylamide onto glass slide: synthesis and characterization

A novel route was introduced to synthesize dense polyacrylamide (PAM) onto the glass slide surface. To investigate the surface chemistry of the PAM on the glass slides, X-ray photoelectron spectroscopy (XPS) was utilized to obtain detailed chemical state information on the PAM layer constituents. The XPS peak data were consistent with the presented model of the PAM on the glass slide surface. Scanning electron microscopy and atomic force microscope data indicated the presence of PAM on the glass slides, which consist of nodules. The results showed that PAM was successfully immobilized onto glass slides with a two-tier structure under aqueous condition and a monolayer structure under anhydrous condition. Compared with those under aqueous condition, the controllability of the molecular layer on glass slides and the reproducibility under anhydrous condition were much better, which makes anhydrous condition an advisable condition for the study of the reaction mechanisms of glass slides modified by PAM.     

Effect of plane-mirror installation errors on pointing errors in periscope-type satellite optical communication terminals

In a satellite optical communication system, the pointing error is an important factor that strongly influences the system performance. For periscope-type satellite optical communication terminals, installation errors of 45° plane mirrors in the coarse point apparatus (CPA) can lead to pointing errors. In this respect, we classify the installation errors of two 45° plane mirrors in the system and derive the corresponding ??transfer?? matrices to describe them. Furthermore, we establish mathematical models of the pointing error caused by installation errors of 45° plane mirrors. These models allow one to calculate and compensate the pointing errors in periscope-type satellite optical communication terminals. The results of our simulations show that the pointing errors vary with the elevation axis angle but do not depend on the azimuth axis angle. Compared to the side-angle error, the slope-angle error brings a larger pointing error. However, the mathematical model we developed allows one to compensate more than 99.9?% of the overall pointing error. The present work provides a theoretical basis for the design of periscope-type satellite optical communication terminals.     

Phenol-formaldehyde resin route to the synthesis of several iron group transition metal phosphides

Abstract

A series of iron, cobalt and nickel metal phosphides of chemical formula Fe_xP, Co₂P and Ni₂P with high specific surface areas of 331.1, 294.2 and 228.0 m² g^?1, respectively, was firstly synthesized by phenol-formaldehyde resin route. It was found that the as-prepared Co₂P and Ni₂P samples synthesized using phenol-formaldehyde resin as a carbon source showed much higher BET surface areas than those prepared using other carbon sources reported before, including cinnamic strong alkali anion exchange resin, p-phenylenediamine and hexamethylenetetramine. This phenol-formaldehyde resin route was proved to be as universal as traditional H₂ reduction method.     

含苯并咪唑基配体钴(Ⅱ)配合物的合成、晶体结构和儿茶酚酶活性

合成和表征了一种钴(Ⅱ)配合物,[CoLCl]₂[CoLCl_0.5(H₂O)_0.5]₂ClO₄·10H₂O (1)(LH=(2-(二((1H-苯并咪唑-2-基)甲基)氨基)乙酸))。以3,5-二叔丁基儿茶酚(3,5-DTBC)为反应底物,用紫外光谱测试了1的儿茶酚酶催化活性。研究结果表明:在配合物的晶体结构中,不对称单元的2个Co(Ⅱ)都形成变形的三角双锥构型。在pH=5~11范围内,配合物1对3,5-DTBC的氧化显示了pH值依赖性,它的儿茶酚酶催化活性随着温度的升高而升高,并且其催化氧化3,5-DTBC的动力学符合米氏方程模型。     

硼的添加对Ti0.26Zr0.07V0.24Mn0.1Ni0.33贮氢合金结构和电化学性能的影响

Ti0.26Zr0.07V0.24Mn0.1Ni0.33Bx(x=0~0.10)系列合金均有V基固溶体相和C14型Laves相两相组成。添加B可提高Ti0.26Zr0.07V0.24Mn0.1Ni0.33合金的放电容量,Ti0.26Zr0.07V0.24Mn0.1Ni0.33B0.1合金电极在60 mA·g-1电流放电时的放电容量达到476.7 mAh·g-1。B的添加不同程度地降低了合金的高倍率放电性能,使合金电极表面上电化学反应的电荷转移电阻(R ct)显著增加,交换电流密度(I0)显著降低。添加B可显著改善Ti0.26Zr0.07V0.24Mn0.1Ni0.33合金电极的高温放电性能,Ti0.26Zr0.07V0.24Mn0.1Ni0.33B0.025合金电极在343 K高温下其放电容量达到525.6 mAh·g-1。     

稀土元素对Ti0.26Zr0.07V0.24Mn0.1Ni0.33贮氢合金微观结构和电化学性能的影响

本文研究了稀土元素对Ti0.26Zr0.07V0.24Mn0.1Ni0.33合金的微观结构和电化学性能的影响。结果表明,Ti0.26Zr0.07V0.24-xMn0.10Ni0.33REx(RE=Ce,Nd,Gd;x=0.01)合金均有V基固溶体相和C14型Laves相两相组成。合金中两相的晶格参数随加入稀土元素的不同而发生变化。稀土元素部分取代可改善合金电极的活化性能。然而,对合金电极的其他性能影响因元素种类不同而各异。Ce取代增大了合金电极的最大放电容量,Nd元素可以有效改善合金的高倍率放电性能。工作温度对合金电极的放电容量影响较大,Nd和Gd在333 K最大放电容量可达426和465 mAh.g-1。过高的温度使其循环容量衰减加剧。     

一种应用于活细胞中检测Hg(Ⅱ)的苯并噻唑类荧光探针

合成和表征了一种苯并噻唑类的荧光探针(YH1),并用光谱法研究了它对不同金属离子的响应。结果表明:YH1对Hg²⁺显示出好的选择性和灵敏度,与Hg²⁺作用后,在紫外光的激发下它的溶液颜色由蓝色变为无色。在1.4~8.8 μmol·L^-1浓度的范围内,YH1的荧光强度与Hg²⁺浓度有线性关系,其对Hg²⁺的检出限为0.56 μmol·L^-1。此外,YH1可跨过细胞膜,细胞毒性低,还可应用于HeLa活细胞中对Hg²⁺进行荧光成像。     

钛表面生物活性榍石/氧化钛复合涂层的结构和磷灰石形成机理

采用微弧氧化和热处理复合技术,在钛表面制备了具有双层结构的榍石/氧化钛复合涂层。榍石/氧化钛复合涂层的外层是由微弧氧化涂层经热处理后晶化生成;而内层是由钛基底的氧化生成,并且氧化钛表现出不同的Ti,O原子比。由于钛基底的氧化,孔径在50~500nm的微孔呈层状结构分布在涂层内层。与微弧氧化涂层相比,该复合涂层具有很好的磷灰石诱导能力,这是由于榍石沿着特定晶面和晶向与羟基磷灰石表现出良好的晶体学匹配关系,从而为磷灰石的成核和取向沉积过程提供良好的位点。