关于GC-Fusion框架的若干等式和不等式

人们对框架理论研究的日益广泛和深入,目前对框架的研究已做了多种推广.GC-Fusion框架就是Fusion框架的一种广义的连续形式的推广.本文针对GC-Fusion框架建立了若干等式和不等式.     

Self-focusing effect in voltage-controlled PPLN waveguide arrays

Self-focusing effect via Kerr nonlinearity is observed in periodically poled lithium niobate (PPLN) waveguide arrays formed by electro-optic effect. Voltage-control method is demonstrated to control the focusing and diffraction of light. Theoretical simulation results show good agreement with experimental results.     

半透射高光谱成像技术与支持向量机的马铃薯空心病无损检测研究

针对马铃薯空心病的难以检测问题,提出了一种基于半透射高光谱成像技术结合支持向量机(support vector machine,SVM)的马铃薯空心病无损检测方法。选取224个马铃薯样本(合格149个,空心75个)作为研究对象,搭建了马铃薯半透射高光谱图像采集系统,采集了马铃薯样本半透射高光谱图像(390~1 040 nm),对感兴趣区域内的光谱进行平均和光谱特征分析。采用变量标准化(normalize)对原始光谱进行光谱预处理,建立了全波段的SVM判别模型,模型对测试集样本的识别准确率仅为87.5%。为了提高模型性能,采用竞争性自适应重加权算法(competitive adaptive reweighed sampling algorithm, CARS)结合连续投影算法(successive projection algorithm, SPA)对光谱全波段520个变量进行变量选择,最终确定了8个光谱特征变量(454,601,639,664,748,827,874和936 nm),所选8个光谱变量建立的SVM模型对马铃薯测试集的识别率为94.64%。分别采用人工鱼群算法(artificial fish swarm algorithm,AFSA)、遗传算法(genetic algorithm,GA)和网格搜索法(grid search algorithm)对SVM模型的惩罚参数c和核参数g进行优化。经过建模比较分析,确定AFSA为最优优化算法,最优模型参数为c=10.659 1,g=0.349 7,确定AFSA-SVM模型为马铃薯空心病的最优识别模型,该模型总体识别率达到100%。试验结果表明：基于半透射高光谱成像技术结合CARS-SPA与AFSA-SVM方法能够对马铃薯空心病进行准确的检测,也为马铃薯空心病的快速无损检测提供技术支持。     

A new approach in analyzing extinction probability of Markov branching process with immigration and migration

We use a new approach to consider the extinction properties of the Markov branching process with immigration and migration recently discussed by Li and Liu [Sci. China Math., 2011, 54: 1043–1062]. Some much better explicit expressions are obtained for the extinction probabilities of the subtle super-interacting case.     

Synthesis and Crystal Structure of [2-Hydroxy- 5-（4-hydroxy-3-phenyliminomethylbenzyl）-benzylidene]-phenyl-amine

The title compound [2-hydroxy-5-（4-hydroxy-3-phenyliminomethyl-benzyl）-benzylidene]-phenyl-amine （C27H22N2O2, Mr = 406.47） was synthesized by 5,5′-methylene-bissalicylal- dehyde with aminobenezene, and its crystal structure was determined by single-crystal X-ray diffraction. The crystal belongs to the monoclinic system, space group C2/c with a = 4.4026（6）, b = 1.501（13）, c = 0.95818（12） nm, β = 90.868（2）°, V= 4.2813（9） nm^3, Z= 8, Dc= 1.292 g/cm^3,μ = 0.010, F（000） = 1744, R = 0.0576 and wR = 0.1450 for 3766 observed reflections with I 〉 2σ（I）. X-ray analysis reveals that the molecule has a pair of intramolecular OH…N hydrogen bonds.     

非线性两点边值问题的存在唯一性

对于非线性两点边值问题x″=f(t,x,x′),　x(0)=A,　x(1)=B,我们在f,fx,fx′,β(t),α′(t)都连续,且fx≥-β(t), -α(t)≤fx′≤M(1+|x′|),max β(t)-α2(t)+2α′(t)4t∈[0,1] ≤λ2<π24,α(1)≤2λcotλ,这些条件之下证明解之存在且唯一.     

电荷转移配合物[Himi]4[Mo8O26]·16H2O的合成与表征

本文以钼酸钠和咪唑(C_3H_4N_2,imi)为原料,合成了组成为[Himi]_4[Mo_8O_(26)]·16H_2O的电荷转移配合物。通过元素分析、红外光谱、紫外光谱、热重-差热分析对其进行了初步表征。红外光谱表明,固态配合物的阴、阳离子间存在电荷转移作用;紫外光谱显示,稀水溶液中配合物完全解离,彼此无相互作用。