完全随机缺失数据下配对试验的Bayes分析

采用Bayes分析方法,对完全随机缺失下配对试验设计数据进行统计分析,给出了参数的Bayes后验概率密度函数及参数的置信区间计算表达式,并对基于Bayes分析的假设检验功效进行了模拟.从模拟结果看,Bayes分析检验功效一致性地高于缺失数据配对删除的t检验方法,特别,在缺失数据相对较多或配对数据相关系数较低时,其表现出更大优势.     

三维重调和方程Adini元特征值展开式及其应用

讨论了重调和方程三维Adini元的特征值的渐进展开,通过展开式指出其特征值是下界逼近,并指出收敛阶为O(h~2),并用数值实验验证我们的理论分析.     

Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives

We prove optimality conditions for different variational functionals containing left and right Caputo fractional derivatives. A sufficient condition of minimization under an appropriate convexity assumption is given. An Euler–Lagrange equation for functionals where the lower and upper bounds of the integral are distinct of the bounds of the Caputo derivative is also proved. Then, the fractional isoperimetric problem is formulated with an integral constraint also containing Caputo derivatives. Normal and abnormal extremals are considered.     

Existence and controllability results for fractional semilinear differential inclusions

In this paper, we prove the existence and controllability results for fractional semilinear differential inclusions involving the Caputo derivative in Banach spaces. The results are obtained by using fractional calculation, operator semigroups and Bohnenblust–Karlin’s fixed point theorem. At last, an example is given to illustrate the theory.     

Analysis of global exponential stability and periodic solutions of FCNNs with constant delays and time-varying delays

In this paper, we investigate a class of fuzzy cellular neural networks with constant delays and time-varying delays. By constructing suitable Lyapunov functional and employing Young inequality, we find sufficient conditions for the existence, uniqueness, global exponential stability of equilibrium, and the existence of periodic solutions of fuzzy cellular neural networks with time-varying delays. The results of this paper are new and they extend previously known results.     

离散神经网络指数稳定的增强李亚普诺夫方法

This paper addresses the problem of robust stability for a class of discrete-time neural networks with time-varying delay and parameter uncertainties.By constructing a new augmented Lyapunov-Krasovskii function,some new improved stability criteria are obtained in forms of linear matrix inequality（LMI） technique.Compared with some recent results in the literature,the conservatism of these new criteria is reduced notably.Two numerical examples are provided to demonstrate the less conservatism and effectiveness of the proposed results.     

Nano-laser on silicon quantum dots

A new conception of nano-laser is proposed in which depending on the size of nano-clusters (silicon quantum dots (QD)), the pumping level of laser can be tuned by the quantum confinement (QC) effect, and the population inversion can be formed between the valence band and the localized states in gap produced from the surface bonds of nano-clusters. Here we report the experimental demonstration of nano-laser on silicon quantum dots fabricated by nanosecond pulse laser. The peaks of stimulated emission are observed at 605 nm and 693 nm. Through the micro-cavity of nano-laser, a full width at half maximum of the peak at 693 nm can reach to 0.5 nm. The theoretical model and the experimental results indicate that it is a necessary condition for setting up nano-laser that the smaller size of QD (d < 3 nm) can make the localized states into band gap. The emission energy of nano-laser will be limited in the range of 1.7-2.3 eV generally due to the position of the localized states in gap, which is in good agreement between the experiments and the theory.     

利用超高阶导模测量PMN-PT透明陶瓷二次电光系数

以亚毫米尺度的铌镁酸铅-钛酸铅(PMN-PT)透明陶瓷片为导波层制备了对称金属包覆波导,并利用自由空间耦合技术激发了波导中的超高阶导模.根据衰减全反射(ATR)峰的移动,得到了在波导两侧所施加电压与光强反射率的关系,从而计算了PMN-PT透明陶瓷片的二次电光系数.     

新型3-烯色满酮拼接季碳氧化吲哚类化合物的合成

以色酮取代氧化吲哚（1）为原料,在有机碱DABCO的催化作用下,进攻3-烯色满酮2的烯键,发生Michael加成反应,然后脱除OBoc基团生成烯键,合成了9个未见文献报道的3-烯色满酮拼接季碳氧化吲哚类化合物（3a～3i）,产率60%～87%,dr值为2:1～5:1,其结构经1H NMR,13C NMR和HR-MS（E...     

基于咪唑衍生物和2，5-二甲氧基对苯二甲酸的Zn (Ⅱ)-MOFs的合成、晶体结构和荧光性质

在2,5-二甲氧基对苯二甲酸（H2DTA）的存在下,不同结构的咪唑衍生物1,2,4,5-四（1H-咪唑-1-基）苯（1,2,4,5-TIB）、1,4-双（4-甲基-1H-咪唑-1-基）苯（1,4-BMIB）和1,4-双（4-甲基-1H-咪唑-1-基）萘（1,4-BMIN）在溶剂热条件下分别与锌离子反应构筑出3个三维金属有机骨架：{[Zn（DTA）（1,2,4,5-TIB）_0.5]·1.5H₂O}_n（1）、[Zn（DTA）（1,4-BMIB）_0.5（H₂O）]_n（2）和{[Zn（DTA）（1,4-BMIN）]·H₂O}_n（₃）。单晶结构解析揭示3个配合物均属于单斜晶系。其中,四配位1,2,4,5-TIB参与构筑的配合物1具有拓扑符号为（62.84）的四连接框架。而具有纤细骨架和低配位数的1,4-BMIB与1,4-BMIN参与构建的配合物₂和₃则分别是二重穿插的pcu型和三重穿插的dia型框架。此外,对比配体和配合物的荧光发射光谱,发现配合物的荧光较配体有了明显的增强和蓝移现象。