浅水长波近似方程组的多孤波解、有理分式解

使用王明亮引进的齐次平衡法，求出了浅水长波近似方程组的Backlund变换以及它与热传导方程和二阶线性方程之间的Darboux变换，并借助于这些变换，获得了浅水长波近似方程组的多孤波解、有理分式解。推广了王明亮等人的结果。     

函数连分式的一个收敛定理及其应用

本文指出邹海著的《最优设计中的新计算法》中判定函数连分式收敛性的定理九是不正确的。建立了一个有别于前者的判别法,并由此重新给出三种最优设计的新计算方法。     

降水时间份额和降水强度分配比的取值分析

基于福建惠安和大亚湾两个厂址各两年的逐时降水数据进行统计,估算事故冲洗因子计算公式中的两个参数“降水时间份额FW”和“降水强度分配比ft”的数值,通过分析其取值为FWT=1．0,FW2=0．91,FW3=0．35和FW4=0．28;f1=0．60,f2=0．25和f3≥0．15。     

Photoresponse and carrier transport of protocrystalline silicon multilayer films

Alternating multilayer films of hydrogen diluted hydrogenated protocrystalline silicon (pc-Si:H) were prepared using a plasma-enhanced chemical vapor deposition technique.The microstructure of the deposited films and photoresponse characteristics of their Schottky diode structures were investigated by Raman scattering spectroscopy,Fourier transform infrared spectroscopy and photocurrent spectra.Microstructure and optical absorption analyses suggest that the prepared films were pc-Si:H multilayer films with a two-phase structure of silicon nanocrystals (NCs) and its amorphous counterpart and the band gap of the films showed a decreasing trend with increasing crystalline fraction.Photocurrent measurement revealed that silicon NCs facilitate the spatial separation of photo-generated carriers,effectively reduce the non-radiative recombination rate,and induce a photoresponse peak value shift towards the short-wavelength side with increasing crystallinity.However,the carrier traps near the surface defects of silicon NCs and their spatial carrier confinement result in a significant reduction of the diode photoresponse in the longwavelength region.An enhancement of the photoresponse from 350 to 1000 nm was observed when applying an increased bias voltage in the diode,showing a favorable carrier transport and an effective collection of photo-generated carriers was achieved.Both the spatial separation of the restricted electron-hole pairs in silicon NCs and the de-trapping of the carriers at their interface defects are responsible for the red-shift in photoresponse spectra and enhancement of external quantum efficiency.The results provide fundamental data for the carrier transport control of high-efficiency pc-Si:H solar cells.     

关于循环节长度计算公式的改进

设p为正整数,p=2α.5β.m,α,β为非负整数,(m,10)=1.若m标准分解式为m=p1t1p2t2…pktk,其中pi为不等于2和5的质数,ti∈Z,令τ(m)=[φ(p1t1),φ(p2t2),…,φ(pktk)],则既约真分数q/p转化为循环小数时,其循环节长度h|τ(m)。     

一类函数迭代的性质

采用矩阵法求出分式线性函数f(x)=(ax+b)/(cx+d)的n次迭代表达式fn(x),并分别对fn(x)的周期性、单调性、不动点进行讨论.     

不同提取水温对龙须菜多糖的得率、组成和免疫活性的影响

系统研究了不同提取水温（30～100℃,温度梯度10℃,共8组）对龙须菜非胶体粗多糖的得率、多糖、蛋白、硫酸基、3,6内醚半乳糖、半乳糖含量的影响,并进一步比较了各组多糖的体外免疫活性和抗病毒能力。结果表明：不同提取水温对龙须菜非胶体粗多糖的得率影响显著（P〈0.01）,50℃提取水温组的粗多糖得率较高,蛋白含量较低（P〈0.01）,在30～50℃提取水温范围内,总糖含量显著上升;50℃水温组非胶体粗多糖的硫酸基含量显著高于40℃组,各组非胶体多糖的3,6内醚半乳糖含量在15%～20%之间,而半乳糖的含量则在30%～40%;各组非胶体多糖均表现出显著的体外免疫活性,其中50℃提取水温组的免疫活性显著高于其它各组,各组非胶体多糖均没有表现出抗疱疹病毒（HSV-Ⅰ和Ⅱ）活性。因此,综合多糖得率、生化组成及免疫活性,建议龙须菜免疫多糖的最佳提取水温为50℃。     

流动剪切对原油乳化含水率的影响及基于焓的定量表征

油水两相的乳化特性对两相流的流型和压降规律有显著影响。流动条件下的原油乳化含水率是影响油水两相流动特性的关键。针对4种原油,通过油水两相的乳化实验,研究了搅拌转速、水相比例、温度及搅拌时间对原油乳化含水率的影响。研究发现,当水相比例低于某一临界值时,在一定搅拌转速范围内会发生完全乳化现象,当水相比例高于该临界值时,只发生部分乳化。不同原油发生完全乳化的临界水相比例不同,与原油物性相关;对于非完全乳化的情况,原油乳化含水率随搅拌转速的增大而增大,随水相比例、温度的升高而减小,随搅拌时间的增加而增大;油水两相乳化过程中消耗的能量可采用比焓进行表征,不同剪切条件下的原油乳化含水率可以与比焓进行归一化关联,并且二者符合幂律关系。