A handy proof of Gay's theorem

In 1979, Gay proved that Broyden's methods, when used for n‐square linear systems, terminate in at most 2n iterations (SIAM J. Numer. Anal. 1979; 16 :623–630). Also, the ABS methods were introduced in 1984 (Numer. Math. 1984; 45 :1361–1376). In this paper we show another (handy) proof of Gay's theorem by these algorithms. Copyright © 2008 John Wiley & Sons, Ltd.     

Controllable spontaneous emission from a double Λ-type four-level atom in an anisotropic photonic crystal

The spontaneous emission behavior of a double Λ-type four-level atom embedded in a photonic crystal (PC) with anisotropic dispersion relations is investigated. It is shown that some interesting phenomena such as the spectral-line enhancement, the spectral-line narrowing, the spectral-line suppression and the spontaneous emission cancellation can be observed by adjusting the density of states of the photonic-band-gap (PBG) reservoir and the combination of two pump intensities. The proposed scheme can be achieved by use of coherent pump fields into the transitions from the upper levels to the ground level in rubidium atom confined in a PC. These theoretical investigations may provide more degrees of freedom to manipulate the atomic spontaneous emission.     

Effect of Side Chains and Sulfonic Groups on the Performance of Polycarboxylate-Type Superplasticizers in Concentrated Cement Suspensions

Polycarboxylate-type superplasticizers (PCs) containing different side chains and sulfonic groups have been synthesized, and the effect of side chains and sulfonic groups on their performance in cementitious systems has been intensively investigated by measuring zeta potential, thickness of absorption layer, paste fluidity, rheological properties as well as the setting time in this paper. Results show that the PC containing both short poly(ethylene oxide) (PEO) side chains and long PEO side chains with the molar ratio of 1:1 has a better dispersibility than the PC containing only short PEO side chains or only long PEO side chains in cement suspensions. The shorter the side chain of the PC, the longer the setting time of cement paste incorporating it. An appropriate increase of sulfonic group content is beneficial for the improvement of dispersibility for the PC and leads to no obvious change for the setting time. It also suggests that there is a geometrical balance between the PEO side chains and sulfonic groups for the performance of PC. This work is not only helpful for understanding the relationship of molecular structure of PCs and their performance, but also further designing optimum molecular structure of PC to meet the requirement in different concrete system.     

一个求解一类投影问题的总体线性收敛的迭代法

所求的解就是c在p上的投影。 对于问题(1.1),He基于求解线性互补问题的投影收缩(PC)法,把投影问题转化为等价的广义线性互补问题,提出了一个求解这类问题的迭代方法。 原始的PC方法只能证明迭代是全局收敛的,而无法估计其收敛速度。为此,[4]和[5]对原始的PC方法作了改进,提出了固定步长的PC法并证明了其收敛速度是线性的。但在实际应用中,固定步长的PC法比原始的PC法慢的多,而且在求步长时,还要估计约束矩阵范数的大小。 本文基于[5]的思想,对于(1.1)提出了一个新的PC方法,该方法是全局线性收敛的。 本文中用到的符号说明如下:x_i表示x的第i个分量。如果u∈(?)且Ω(?)(?)为凸闭集,则P_Ω[u]定义为u到Ω上的投影。特别地,u_+定义为u到非负卦限(?)上的投影,对于一个正定矩阵G,范数||u++G表示(u~TGu)(?)。     

稀土对小麦（Triticum aestivum）体内光合和呼吸速率及磷酸化功能的影响

以适当浓度稀土溶液处理小麦后，其光合和氧化磷酸化的磷氧比（Ｐ／Ｏ）、光合控制（Ｐｃ）、呼吸控制（ＲＣ）、状态３．４光合和呼吸速率（Ｓ３．Ｓ４）与对照样比均无显著性差异。状态２（Ｓ２）光合和呼吸速率提高，差异极显著。说明小麦用最适浓度稀土处理后，对其光合和呼吸的磷酸化机构和功能膜影响不大，但显著促进了光合和呼吸速率（Ｓ２），从而促进了电子传递链的活性，使ＡＴＰ形成量增加。     

A parametric investigation of the friction performance of PC‐ABS parts processed by FDM additive manufacturing process

The friction performance is an important factor of parts processed by fused deposition modeling (FDM) for various engineering applications. It is one type of failure made of surface contact. The proper use of FDM process parameters can bring a significant reduction in friction and the amount of wear, thereby leading to a reduction in the material waste. To date, very little studies have been performed in this area. This paper investigates the effect of FDM manufacturing parameters on the friction performance of polycarbonate‐acrylonitrile butadiene styrene prototypes processed by FDM using definitive screening design and partial least squares method. The observation of surface morphology was obtained by the scanning electron microscopy to examine the effect of process parameters on the microstructure. The experimental results have shown that layer thickness, air gap, raster angle, and build orientation are the most influential factors affecting the friction performance of FDM manufactured parts. The proposed approach presented in this study provides an impetus to develop analytical modeling and functional relationships between FDM manufacturing parameters and friction performance. Copyright © 2017 John Wiley & Sons, Ltd.     

Phase volume and size effects on the terminal relaxation of ABS melts

The dynamical viscoelasticity of ABS melts with different particle size was investigated at various levels of rubbery phase contents. The effects of the rubber are more pronounced in the terminal zone: a transition from viscoelastic liquid to viscoelastic solid behavior was observed which can be interpreted as a physical gelation occurring at a critical rubbery phase content. This critical content resulted in being smaller in the case of smaller particles. A quantitative explanation of the experimental findings was proposed in terms of the average interparticle distance and overlapping of the chains grafted onto the neighboring rubber particles. The gel-like transition appeared to correspond to an approximately constant level of grafted chains overlapping.Presented in part at the Symposium Recent Developments in Structured Continua, Montreal (Canada), 26–28 May 1993.     

一种执行机构等效装置设计

为了满足航天器桌面散态匹配试验测试需求,研制一种基于PC104总线的执行机构等效装置,详细阐述了等效装置的功能、工作原理、硬件电路设计、软件设计思想,该系统采用模块化、可配置软件架构设计,实现了正常、应急多测试工况一体化设计;应用严格的窗口比较器硬件电路设计技术,实现信号电压幅值的高精度采集,确保输入信号的可靠判定;利用FPGA技术突破信号脉宽高精度采集和信号延时高精度可控等关键技术,该系统实现了输入信号幅值、脉宽的实时采集、存储与显示,并按照事先设定的工作模式及配置参数,完成不同测试工况下输出信号的模拟反馈。试验结果表明,系统稳定可靠,人机界面友好,满足航天器多测试工况控制时序和功能检查需求。     

Fuel oil from ABS using a tandem PEG-enhanced denitrogenation-pyrolysis method: Thermal degradation of denitrogenated ABS

Thermal degradation of ABS and denitrogenated ABS samples (DABS), prepared by sequential hydrolysis of ABS using PEG/NaOH, has been investigated under inert gas and at atmospheric pressure in a temperature range between 40 and 700 °C, by means of TGA, TGA-IR, and TGA-MS, to study the link between original structure of DABS and eventual pyrolysis. For DABS, thermal decomposition begins at the side groups of -CONH₂ and/or -COOH, resulting in a lower initial degradation temperature of DABS (around 330 °C) relative to ABS (372.5 °C). Moreover, less HCN and acrylonitrile evolve from the DABS samples, while the evolution of CO₂ starts earlier and becomes more important, in line with the decreased number of -CN groups and the increased number of -COOH functional groups due to hydrolysis. The results from thermo-analytical experiments were confirmed by batch pyrolysis tests: the nitrogen content of oil produced from DABS pyrolysis is much lower, compared with that from ABS, proving that effective denitrogenation of ABS prior to pyrolysis is beneficial to the quality of pyrolysis oil.