Power series with restricted coefficients and a root on a given ray

We consider bounds on the smallest possible root with a specified argument of a power series with coefficients in the interval . We describe the form that the extremal power series must take and hence give an algorithm for computing the optimal root when is rational. When we show that the smallest disc containing two roots has radius coinciding with the smallest double real root possible for such a series. It is clear from our computations that the behaviour is more complicated for smaller . We give a similar procedure for computing the smallest circle with a real root and a pair of conjugate roots of a given argument. We conclude by briefly discussing variants of the beta-numbers (where the defining integer sequence is generated by taking the nearest integer rather than the integer part). We show that the conjugates, , of these pseudo-beta-numbers either lie inside the unit circle or their reciprocals must be roots of power series; in particular we obtain the sharp inequality .

     

置换法制备铜纳米微粒和纳米棒(英)

0 IntroductionIn recentyears, the nanosized m etallic m aterialshave attracted m ore and m ore attention because oftheirvirtue ofunusualoptical, electronic, m agnetic,and chem icalproperties[1￣5].They are expected to havem any potential applications in d…     

A five-channel grating spectrometer for millimeter waves

A five-channel grating spectrometer for use in millimeter wave band (25100GHz) is described with its design theory of optical path, and measured results of insertion loss and resolving power.     

超声搅拌悬浮液进样FAAS法测定铁皮石斛(枫斗)中的铜

研究了铁皮石斛 (枫斗 )中铜的分析方法。样品在 80± 2℃烘干 4h ,研磨过 2 0 0目筛 ,然后加入 5mL 0 1 5 %琼脂悬浮液 ,用超声搅拌混匀后直接上机测定。测定结果与传统湿法一致 ,t检验表明两者无显著性差异 ,相对误差小于 0 96%。该法简便、快速、准确。     

细胞不同代谢类型的热化学研究Ⅰ.生长、非生长及内源代谢水平的量热测定

细胞是生命的基本单位．对其代谢过程能量输出水平的直接测定，对细胞生理学来说是重要的实验基础数据，对于生物生理和研究能量代谢方面也有一定的理论意义．当然细胞的多样性及其代谢过程的复杂性使这一研究工作相当困难·作为开展研究的第一步我们选择便于培养处理的单细胞生物大肠杆菌作为研究对象，并对其所进行时三种基本代谢类型29Llxi：L谢；非生长依队和内派代谢分别进行研究，本文分别测定了＊烟三种不同类型代谢的热功率输出水平，得到了单个细胞在上述代谢过程热功率输出的定量数据．实验结果表明，不同类型代谢的能量输出水平…     

不同前处理制样方法对钢中氧、氮测定结果的影响

讨论了不同物理和化学制样方法对钢中氧、氮测定结果的影响。试验结果表明,物理制样采用锉刀打磨样品表面后剪切,再用乙醚清洗除去油污;化学制样先用20%盐酸溶液溶解样品表面氧化层,再用滴加了4滴30%过氧化氢的10%草酸溶液浸泡,取出后依次用水、无水乙醇浸洗,风干。用以上两种方法制样,钢标准样品中氧、氮含量测定值与标示值一致。在测定钢中氮含量时,可用乙醚清洗后直接测定,以缩短检测周期和减轻劳动强度。该研究结果可用于指导钢样品中氧、氮含量测定时样品的处理。     

高效液相色谱法测定山楂中的苦杏仁甙

 建立了从山楂中提取苦杏仁甙的方法,样品先用石油醚脱脂，然后用甲醇进行索氏提取。用高效液相色谱法定量测定了山楂中的苦杏仁甙,色谱条件如下：反相C18柱,流动相为15%的甲醇水溶液,检测波长为215 nm。测定了含不同比例山楂籽的山楂样品,结果表明含山楂籽比例高的山楂样品中苦杏仁甙的含量高,且山楂粗粒样品中苦杏仁甙的提取量比粉末样品的提取量高。     

Synthesis of novel 1,4-disubstituted 1,2,3-triazoles bearing organosilicon-sulfur groups via the click reaction sonocatalyzed by LaCuxMn1-xO3 nanoparticles

A highly efficient and environmentally friendly one-pot procedure for the synthesis of 1,2,3-triazoles by 1,3-dipolar cycloaddition of benzyl halides, terminal alkynes, and sodium azide over LaCu_xMn_1-xO₃ perovskite oxides was developed. LaCu_0.7Mn_0.3O₃ was found to be active with low catalyst loading under ultrasonic irradiation in aqueous media. The reaction was performed efficiently in the presence of the nanocatalyst in the absence of any additive or base with a noticeable reduction in the reaction time. The catalyst could be recycled and reused at least five times without any significant effect on the results of the reaction. Moreover, a series of novel organosilicon-sulfur substituted 1,2,3-triazole derivatives was synthesized using carbon disulfide and tris(trimethylsilyl)methylithium.     

Dispersion Properties of Aligned Multi-Walled Carbon Nanotubes

Aligned carbon nanotubes (CNTs) composites can be prepared by post-growth alignment or through the use of CNT bundles. Post-growth alignment requires stringent processing conditions (high-voltage electric field/high-strength magnetic field). In this study, we focused on well-aligned multi-walled CNT bundles (AMWNTs). Achieving a balance between dispersion and required orientation was the main aim of this study. Ultrasonic dispersion will inevitably produce heat, which will adversely affect dispersion. Hence, we developed and attached a temperature-control system to a water bath ultrasonic dispersion device. Further, we studied effects of additional factors such as the type and amount of surfactant on dispersion.     

Physical layer security of vehicular networks with cooperative jamming helpers

As an important part of the intelligent transportation system (ITS), vehicular networks can provide drivers and passengers with more comfortable and convenient services such as efficient traffic management and infotainment. However, the security threats on data exchanges over vehicular networks have become increasingly severe. Different from conventional cryptographic technologies, the application of physical layer security (PLS) to vehicular networks has been investigated to prevent the security of exchanging data from the eavesdropper and measure precisely the leaked information to the eavesdropper, due to its low complexity and communication overhead. In this work, we are concerned with the PLS of cooperative vehicular networks consisting of a source vehicle, a destination vehicle, an eavesdropping vehicle and a cooperative jamming vehicle. First, to improve the secrecy performance, the cooperative jamming helper emits jamming signals to degrade the eavesdropping channel without harming the legitimate channel. Then, based on the Rayleigh fading channel models and the traffic models, the closed-form expressions of the secrecy outage probability (SOP) and the average secrecy capacity (ASC) of the considered vehicular networks are derived, which deliver more implications of various system parameters on SOP and ASC performances and can be computed without simulations at a lower complexity. Second, a definition of the optimal jamming vehicle is introduced and then the cooperative jamming vehicle selection strategy is presented. The existence of the optimal jamming vehicle is measured in probability, which is explored analytically. Third, the optimal power allocation that maximizes the secrecy capacity is found analytically for the source vehicle and the cooperative jamming helper. Finally, simulations are also presented to demonstrate the validation of these analytical results and confirm the advantages of the cooperative jamming strategy and the optimal power allocation. From the numerical results, more observations on the effects of the main system parameters on secrecy performances are obtained, which provides some useful guides for practice.