关于旋转对称布尔函数性质之研究

旋转对称函数为特殊布尔函数,本文阐述了旋转对称函数的定义,提出了旋转对称函数的性质,并给出了相应的证明,讨论了该函数在k图、bj图、谱系数图中的特点.     

Superexchange interaction enhancement of the quantum transport in a DNA-type molecule

We use the transfer matrix method and the Green function technique to theoretically study the quantum tunnelling through a DNA-type molecule. Ferromagnetic electrodes are used to produce the spin-polarized transmission probability and therefore the spin current. The distance-dependent crossover comes from the topological variation from the one-dimensional to the two-dimensional model transform as we switch on the interstrand coupling; a new base pair will present N-1 extrachannels for the charge and spin as N being the total base pairs. This will restrain the decay of the transmission and improve the stability of the quantum transport. The spin and charge transfer through the DNA-type molecule is consistent with the quantum tunneling barrier.     

A novel robust proportional-integral （PI） adaptive observer design for chaos synchronization

In this paper, chaos synchronization in the presence of parameter uncertainty, observer gain perturbation and exogenous input disturbance is considered. A nonlinear non-fragile proportional-integral (PI) adaptive observer is designed for the synchronization of chaotic systems; its stability conditions based on the Lyapunov technique are derived. The observer proportional and integral gains, by converting the conditions into linear matrix inequality (LMI), are optimally selected from solutions that satisfy the observer stability conditions such that the effect of disturbance on the synchronization error becomes minimized. To show the effectiveness of the proposed method, simulation results for the synchronization of a Lorenz chaotic system with unknown parameters in the presence of an exogenous input disturbance and abrupt gain perturbation are reported.     

Fano effect of a parallel-coupled triple Rashba quantum dot system

Using the nonequilibrium Keldysh Green's function technique, the Fano effect of a parallel-coupled triple Rashba quantum dot system is investigated. The conductance as a function of electron energy is numerically calculated. Compared with the case of a parallel-coupled double quantum dot system, two additional Fano resonance peaks occur in the conductance spectrum. By adjusting the structural parameters, the two Fano resonance peaks may change into the resonance peaks. In addition, the influence of Rashba spin-orbit interaction on the conductance is studied.     

野草状纳米氧化锌的制备及标准摩尔生成焓

本文采用反相微乳液法制备了尺寸均匀的野草状ZnO纳米结构. 依据热力学势函数法获得了纳米ZnO与块体ZnO标准摩尔生成焓的关系, 并结合微量热技术求得了所制备产物的标准摩尔生成焓, 为研究其它纳米材料的标准摩尔生成焓提供了一种广泛适用的新方法.     

用能量自洽法研究双原子分子离子XY+的五阶解析势能函数

将用于研究双原子分子离子XY⁺解析势能函数的能量自洽法(energy consistent method for ion XY⁺,ECMI)从三阶推广到五阶,并将双原子分子离子XY⁺的三阶解析势能函数ECMI(3)推广为五阶的解析势能函数ECMI(5),研究CO⁺的B²Σ⁺态和SO⁺的b⁴Σ^-态的解析势能函数.结果表明,CO⁺的B²Σ⁺态和SO⁺的b⁴Σ^-态的新解析势能函数ECMI(5)势与基于实验的RKR数据符合得很好,优于常用的中性双原子分子势能函数Morse势、HMS势和双原子分子离子XY⁺的ECMI(3)势在这两个离子状态下的表现.不仅如此,ECMI势给出了对原子分子碰撞等诸多研究非常重要的正确理解极限和全程势能数据.     

CdTe(110)表面原子与电子结构的第一性原理研究

采用基于密度泛函理论的第一性原理计算了CdTe(110)表面的原子和电子性质.结果表明,CdTe(110)理想表面在禁带中出现两个明显的表面态,弛豫后表层Cd原子和Te原子p态电子发生转移,Cd原子趋向于sp2平面杂化构型,Te原子趋向p3杂化的锥形构型.经过表面弛豫大大降低了表面能,增大了表面功函数,表面占据态和表面空态分别被推进价带顶之下和导带底之上,导致弛豫表面没有明显的表面态.     

比较基于化整交融应力拓扑优化诸解法的效果

由于单元应力属于局部性能约束,导致相应的结构拓扑优化存在难以承受的大量约束条件;尽管化整方法极大地减少了约束数量,但是优化结果中有少数应力超限现象.为此,本文在应力约束的结构拓扑优化中,瞄准克服应力超限和提高求解效率两个目标,进行了探索.提出了乘子法及序列二次规划(SQP)法两种解法,首先在化整交融(即化整-集成)解法...     

基于打洞函数法的BP神经网络水文预报方法

BP神经网络是目前水文预报中应用较为广泛的方法,但存在收敛速度慢、
易陷入局部最优的缺陷.由此提出了基于全局优化打洞函数法的水文预报方法,把打洞函数法和BP神经网络相结合,
利用打洞函数使BP算法跳出当前局部极小点,得到一个函数值更小的极小点,循环运算直至找到全局极小点.
实验表明该水文预报方法能够提高预报精度,显示了良好的适用性.     

一个含参数的零齐次核的Hilbert型积分不等式

通过引入一个独立参数α及一对共轭指数,应用权函数的方法,建立了一个具有最佳常数因子的核为零齐次的Hilbert型积分不等式,作为应用,考虑了其等价式.