一个求解二项式系数幂和序列递推公式的方法

根据同余理论并利用二项式系数幂和序列在模p下具有周期性的事实,提出一种求解递推公式的方法,从理论上证明其可行性.使得求解和验证二项式系数幂和序列递推公式具有完备的理论基础.     

磷钼酸作为低温碳燃料电池的碳间接电氧化介质

以磷钼酸作为低温下碳间接电氧化的介质构建新型碳燃料电池。通过线性电位扫描和计时电流法研究不同碳材料、不同反应条件、不同反应时间、不同磷钼酸浓度对碳间接电氧化性能的影响。采用循环伏安法研究碳在磷钼酸介质中的间接电氧化机理。研究结果表明,椰壳活性炭的间接电氧化活性要明显高于煤和煤质活性炭。以磷钼酸为介质时,采用光照与升温80oC避光的条件均可以提高碳间接电氧化性能,且提高程度接近。由循环伏安测试分析出磷钼酸中+6价Mo可将碳氧化,且被还原成+5价Mo,随后又在阳极上重新被电氧化回+6价Mo,通过该过程将从碳材料上获得的电子转移到阳极上,从而实现碳在低温条件下的间接电氧化过程。并且通过对光照条件的分析,证实光对磷钼酸催化碳电氧化反应有两方面的促进作用:一方面光的热效应使反应温度升高,从而提高反应速率;另一方面磷钼酸利用其特有结构吸收光能,提高磷钼酸与碳的反应速率,且后者促进作用更明显。以VO2+/VO2+为阴极构建的碳燃料电池全电池室温下功率是0.087m W?cm-2,验证了碳燃料电池在常温条件下运行的可行性。     

基于CH3NH3PbI3单晶的Ta2O5顶栅双极性场效应晶体管

Organic-inorganic hybrid perovskite methylammonium lead iodide (CH₃NH₃PbI₃) generally tends to show n-type semiconductor properties. In this work, a field-effect transistor (FET) device based on a CH₃NH₃PbI₃ single crystal with tantalum pentoxide (Ta₂O₅) as the top gate dielectric was fabricated. The p-type field-effect transport properties of the device were observed in the dark. The hole mobility of the device extracted from transfer characteristics in the dark was 8.7×10^-5 cm²·V^-1·s^-1, which is one order of magnitude higher than that of polycrystalline FETs with SiO₂ as the bottom gate dielectric. In addition, the effect of light illumination on the CH₃NH₃PbI₃ single-crystal FET was studied. Light illumination strongly influenced the field effect of the device because of the intense photoelectric response of the CH₃NH₃PbI₃ single crystal. Different from a CH₃NH₃PbI₃ polycrystalline FET with a bottom gate dielectric, even with the top gate dielectric shielding, light illumination of 5.00 mW·cm^-2 caused the hole current to increase by one order of magnitude compared with that in the dark (V_GS (gate-source voltage)=V_DS (drain-source voltage)=20 V) and the photoresponsivity reached 2.5 A·W^-1. The introduction of Ta₂O₅ as the top gate dielectric selectively enhanced hole transport in the single-crystal FET, indicating that in the absence of external factors, by appropriate device design, CH₃NH₃PbI₃ also has potential for use in ambipolar transistors.     

含周期性空腔结构吸声机理的研究*

首先建立并验证了含轴对称空腔周期性结构吸声特性计算的简化有限元仿真方法。在水下环境,用简化的有限元模型结合遗传算法对含周期性圆柱空腔结构的吸声性能进行了优化设计。从能量耗散、变形和模态的角度分析了含周期性空腔结构的吸声机理。空腔结构谐振包括表层的弯曲振动和空腔附近粒子的径向运动,且径向运动随吸声结构厚度方向也是变化的。相对低频区主要激起表层振动模态,高频区激起径向运动模态,且径向振动对声学性能影响很大,其更有利于促进纵波转化为能量更易消散的横波。     

对酒精-水小孔周期性泄流的实验与分析

介绍酒精-水周期性泄流实验的装置,阐述实验现象,记录实验数据并进行归纳整理,用计算机软件描绘图形,通过反复实验和分析,得出与以往盐水-水等不一样的酒精-水小孔周期性泄流的振荡规律.     

Experimental investigation on a software synchronous optical sampling technique based on periodically poled lithium niobate

A software synchronous optical sampling system is constructed based on sum frequency generation (SFG) in periodically poled lithium niobate (PPLN). Five gigahertz of a non-return-to-zero (NRZ) data signal is sampled by sampling pulse with the repetition frequency of 29.31 MHz. The power of the SFG light is set at 23 dBm, and an eye diagram is successfully recovered. A band-pass filter is added before the sampling pulse is subjected to erbium-doped fiber amplifier to reduce gain competition and ensure a high power level of SFG.     

周期性递推数列题型分类解析

周期性是函数的一个重要性质,利用函数的周期性可缩短研究范围,把函数在一个周期内的图象和性质研究透了,那么函数在定义域内的图象和性质也就清楚了.数列是一种特殊的函数,利用函数的思想方法类比函数的周期性解决周期数     

具周期性的含卷积核与余割核混合的积分方程

运用所给出的引理及离散的Fourier变换, 在$L_2[-\pi, \pi]$上讨论了一类具周期性的含卷积核与余割核$\csc(\tau-\theta)$混合的奇异积分方程,把此类方程转化为离散跃度问题, 得到了方程的可解条件和一般解的显式.     

ESTIMATION FOR THE ASYMPTOTIC BEHAVIOR OF THE DELAYED COMPETITION MODEL

In ecological dynamic systems, the competition between species is a very universal phenomenon, which can be described by the well-known Volterra-Lotka model in a diffusion form. Noticing that the living space usually changes in a seasonal manner and the population development of the species may also undergo time-delay im- pact, a developed form of this model is investigated in this article. The main approaches employed here are the upper-lower solution method and the energy-estimate technique. The results show that whether the species may sustain survival or not depends on the relations among the birth rate, the death rate, the competition rate, the diffusivity and the time delay. For the survival case, the population evolutions of the two species may appear asymptotic periodicity with distinct upper bound and this bound depends heavily on the time delay. These results can be also checked by the intuitionistic numerical simulations.