Study of the sodium dodecyl sulphate–protein complexes: evidence of their wormlike conformation by treating them as random coil polymers

The Kuhn statistical segment length, A, was determined for the sodium dodecyl sulphate (SDS)–protein complexes in two binding levels of SDS adsorbed onto the protein. These complexes are treated as random coil polymers. For the SDS–protein complex of binding level 1.4 g SDS per gram of protein, the value of A was found equal to 76 and 37 Å in 0.01 and 0.1 M ionic strength, correspondingly. For the complex of binding level 0.4 g SDS per gram of protein, the value of A was found equal to 30 Å. The calculation was based mainly on two equations (Eqs. 4 and 5; Dondos and Benoît, Polymer 18:1161, 1977; Dondos and Staikos, Colloid Polym Sci 273:623, 1995, correspondingly). Our findings are supported by gel permeation chromatography results, drawn according to the “modified universal calibration” and suggest that these complexes should be considered as wormlike polymers presenting a considerable draining effect.     

A Note on a Remez-Type Inequality for Trigonometric Polynomials

We obtain sharp bounds, in the uniform norm along the unit circle , of exponentials of logarithmic potentials, if the logarithmic capacity of the subset of , where they are at most 1, is known.     

Sensitivity analysis for shortest path problems and maximum capacity path problems in undirected graphs

This paper addresses sensitivity analysis questions concerning the shortest path problem and the maximum capacity path problem in an undirected network. For both problems, we determine the maximum and minimum weights that each edge can have so that a given path remains optimal. For both problems, we show how to determine these maximum and minimum values for all edges in O(m + K log K) time, where m is the number of edges in the network, and K is the number of edges on the given optimal path.     

Hybrid of chitin and humic acid as high performance sorbent for Ni(II)

Hybrid of humic acid (HA) and chitin has been synthesized and the hybrid material (chitin-HA) was then applied as sorbent to adsorb Ni(II). The HA was extracted from peat soil of Gambut District, South Kalimantan, Indonesia, according to the procedure recommended by IHSS (International Humic Substances Society). The chitin was isolated from crab shell waste of sea food restaurants through deproteination using NaOH 3.5% (w/v) and followed by removal of inorganic impurities using HCl 1 M. The synthesis of chitin-HA was performed by reacting gelatinous chitin solution in HCl 0.5 M and HA solution in NaOH 0.5 M. Parameters investigated in this work consists of effect of medium acidity on the sorption, sorption rate (k_s) and desorption rate (k_d) constants, Langmuir (monolayer) and Freundlich (multilayer) sorption capacities, and energy (E) of sorption. The k_s and k_d were determined according to a kinetic model of first order sorption reaching equilibrium, monolayer sorption capacity (b) and energy (E) were determined according to the Langmuir isotherm model, and multilayer sorption capacity (B) was determined based on the Freundlich isotherm model.Sorption of Ni(II) on both chitin and chitin-HA was maximum at pH 8.0. The kinetic expression resulted from the proposed kinetic model has been shown to be more applicable than the commonly known Lagergren equation obtained from the pseudo-first order sorption model. The application of the proposed model revealed that the presence of HA increased the k_s from 0.018 min⁻¹ for chitin to 0.031 min⁻¹ for chitin-HA. As for k_s, the value of b was also bigger in the presence of HA, i.e. 7.42 × 10⁻⁵ mol/g for chitin and 9.93 × 10⁻⁵ mol/g for the chitin-HA. Unlike k_s and b, the value of E slightly decreased from 23.23 to 21.51 kJ/mol for the absence and presence of HA, respectively. It can also be deduced that the presence of HA on chitin contributed more to the additional layer of Ni(II) sorbed on sorbent. Without HA, B for chitin was only 6.17 times higher than b, while with the presence of HA, the enhancement of the sorption capacity from the multilayer (B) to the monolayer (b) was 19.40. The increase of k_s, b, B, and the decrease of E would be very benefit in the real application of chitin-HA for the recovery of Ni(II) from aqueous samples.     

闪锌矿相GaN热容和格林爱森参数

利用壳层模型分子动力学方法，在高温高压条件下对闪锌矿相GaN的压力体积关系、定压和定容热容及格林爱森参数进行了比较研究，其中Ga-Ga、Ga-N和N-N三组离子对间的相互作用通过极化势模型来描述，即出于对半导体材料GaN离子特性的考虑而分别给予Ga离子和N离子以两组不同大小的电荷．结果表明计算得到的环境条件下的热力学参数和最近的其他理论结果吻合，同第一性原理计算结果比较，定容热容在低温下的差别可以用来解释不同方法所采用的不同近似机制．最后在300?2000 K和0?40 GPa条件下，对闪锌矿相GaN的物理特性做了总结．     

两平行圆柱的电容、电势和电场

运用复变函数、保角变换等理论，把横截面为两平行圆柱变换成横截面为两平行板，计算出两平行圆柱单位长度的电容、电势和电场强度．     

Subextensive Singularity in the 2D ± <Emphasis Type="Italic">J</Emphasis> Ising Spin Glass

The statistics of low energy states of the 2D Ising spin glass with +1 and −1 bonds are studied for L × L square lattices with L≤ 48, and p = 0.5, where p is the fraction of negative bonds, using periodic and/or antiperiodic boundary conditions. The behavior of the density of states near the ground state energy is analyzed as a function of L, in order to obtain the low temperature behavior of the model. For large finite L there is a range of T in which the heat capacity is proportional to T ^{5.33 ± 0.12}. The range of T in which this behavior occurs scales slowly to T = 0 as L increases. Similar results are found for p = 0.25. Our results indicate that this model probably obeys the ordinary hyperscaling relation d ν = 2 − α, even though T _c = 0. The existence of the subextensive behavior is attributed to long-range correlations between zero-energy domain walls, and evidence of such correlations is presented. PACS numbers: 75.10.Nr, 75.40.Mg, 75.60.Ch, 05.50.+q     

一种新的基于子线段的立体匹配算法

立体匹配是计算机视觉领域中最活跃的研究主题之一。为了精确并更快速的进行同名点匹配,提出了一种基于小波变换的子线段匹配方法。该方法利用样条二进小波变换系数在不同尺度下的模极大点,能提供在不同尺度下信号急速变化点的位置信息,采用由粗到细的匹配策略匹配这些特征点,并由这些特征点两两相邻的点构建子线段。采用加速方法,快速匹配子线段两端点之间的点。这种方法较好地解决了匹配精度和匹配速度之间的平衡问题。采用该方法对篦冷机内水泥熟料高度进行测量,实验表明,该方法能较精确地得出水泥熟料料层的分布状况。     

多元混合理想气体有关问题的研究

用类比推理的方法讨论了多元混合理想气体有关的物理量和方程，给出了一些有意义的结果．     

范氏气体的准静态绝热方程

应用两种不同方法导出范氏气体的准静态绝热方程，解决了相关文献未能解决的问题．