Stability of quantization dimension and quantization for homogeneous Cantor measures

We effect a stabilization formalism for dimensions of measures and discuss the stability of upper and lower quantization dimension. For instance, we show for a Borel probability measure with compact support that its stabilized upper quantization dimension coincides with its packing dimension and that the upper quantization dimension is finitely stable but not countably stable. Also, under suitable conditions explicit dimension formulae for the quantization dimension of homogeneous Cantor measures are provided. This allows us to construct examples showing that the lower quantization dimension is not even finitely stable. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

On the Projections of the Mutual Multifractal Rényi Dimensions

In this paper, we compare the mutual multifractal Rényi dimensions to the mutual multifractal Hausdorff and pre-packing dimensions. We also provide a relationship between the mutual multifractal Rényi dimensions of orthogonal projections of a couple of measures $(\mu,\nu)$ in $\mathbb{R}^n$. As an application, we study the mutual multifractal analysis of the projections of measures.     

New expressions for the surface roughness length and displacement height in the atmospheric boundary layer

An alternative model for the prediction of surface roughness length is developed. In the model a new factor is introduced to compensate for the effects of wake diffusion and interactions between the wake and roughness obstacles. The experiments are carried out by the use of the hot wire anemometry in the simulated atmospheric boundary layer in a wind tunnel. Based on the experimental data, a new expression for the zero-plane displacement height is proposed for the square arrays of roughness elements, which highlights the influence of free-stream speed on the roughness length. It appears that the displacement height increases with the wind speed while the surface roughness length decreases with Reynolds number increasing. It is shown that the calculation results based on the new expressions are in reasonable agreement with the experimental data.     

TiO2和SiO2薄膜应力的产生机理及实验探索

对最常用的TiO₂和SiO₂薄膜应力, 包括应力模型、应力测试方法和不同实验条件下的应力测试结果作了研究.基于曲率法模型，对TiO₂和SiO₂单层膜和多层膜进行了实验测试，得到了一些有价值的结果，特别是离子辅助淀积和基板温度等工艺参数对薄膜应力的影响.提出了薄膜聚集密度是应力的重要因素，低聚集密度产生张应力，而高聚集密度产生压应力.在多层膜中通过调节工艺参数，适当地控制张应力或压应力，可使累积应力趋向于零. 关键词： 薄膜应力 离子辅助淀积 聚集密度     

蛋白质构型变化的二维广义郎之万方程描述

采用二维广义郎之万方程描述蛋白质构型的随机变化,并与电子输运过程的原子密度填充模型相协调. 假设通过键和通过空间的两类电子输运路径分别受到高斯分数噪声和高斯白噪声的影响. 推导了电子转移给体-受体距离涨落和荧光寿命涨落自相关函数的一般表达式. 采用数值拉普拉斯反变换计算了蛋白质构型涨落动力学,并详尽讨论了长时间和短时间行为的渐近解析. 最后,明确了基于二维广义郎之万方程的蛋白质构型描述与一维描述之间的关系.     

靛红键合固定相分离黄酮类化合物

以γ-[(2,3)-环氧丙氧]丙基三甲氧基硅烷(KH-560)为偶联剂,采用固液相表面连续反应法,制备了靛红键合硅胶固定相(ISSP)。采用红外光谱法、元素分析和热重分析表征配体的结构,根据碳含量数据计算得到硅胶上的靛红配体键合量为0.294mmol·g-1。将新固定相用于中草药有效成分黄酮类化合物的分离,分别考察了流动相pH值和甲醇含量对黄酮类化合物分离选择性的影响,探讨了相关色谱保留机理。结果表明,采用甲醇-0.01mol·L-1磷酸二氢钠(4060,pH=4.0)二元流动相,橙皮苷、芦丁、7-甲基黄烷酮、7-羟基黄烷酮、紫花牡荆素和染料木素在靛红键合相上达到了基线分离。该固定相不仅具有反相色谱特征,除疏水作用外,靛红配体还能为黄酮类化合物提供氢键、偶极作用等位点,因而显示较强的分离能力。更多还原     

Constructions for optimal (u×v,{3,4},1,Q)-OOSPCs

Multiple-weight optical orthogonal signature pattern codes (OOSPCs) were introduced by Kwong and Yang for 2-D image transmission in multicore-fiber optical code-division multiple-access (OCDMA) networks with multiple quality of services (QoS) requirement. In this paper, an upper bound on the maximum code size of a $(u\times v,W,\lambda ,Q)$-OOSPC is obtained. A link between optimal $(u\times v,W,\lambda ,Q)$-OOSPCs and block designs is developed. Several infinite families of optimal $(u\times v,\{3,4\},1,Q)$-OOSPCs are presented by means of semi-cyclic group divisible designs ($(W,Q)$-SCGDDs) and perfect relative difference families.     

重组蛋白A亲和填料的制备及其性能评价

为了获得一种优良的抗体纯化介质,制备了重组金黄色葡萄球菌蛋白A(rProtein A)亲和填料,并考察了所制备的亲和填料的纯化性能。利用自行构建的rProtein A工程菌,经诱导表达、纯化获得rProtein A纯品,将其偶联到经环氧氯丙烷活化的Sepharose 4 Fast Flow凝胶上,得到rProtein A亲和填料,并使用兔抗尿酸氧化酶抗体对该填料的性能进行验证。结果显示,在自制的rProtein A亲和填料上rProtein A浓度为1.5×10~4 mol/L。采用Scatchard模型分析,得到其解离常数和最大表观吸附量分别为2.28×10~7 mol/L和20.697 g/L,说明制得的rProtein A亲和填料对抗体有很好的结合能力。将该填料于0.1 mol/L NaOH溶液中浸泡1 h,其色谱性能未见变化。将该填料用于纯化兔抗体,湿胶结合抗体量可达19 mg/mL;一步柱色谱即可得到电泳纯度的抗体样品,回收率高于96%。本研究为rProtein A亲和填料的国产化奠定了基础。