Cellular Model with Improved Decoupling Approximation in Random Nonlinear Composite

Cellular model with improved decoupling approximation is proposed to study the effective nonlinear response in random nonlinear granular materials. The results are compared with numerical simulations on random nonlinear resistor networks, a good agreement is obtained.     

A Strict Inequality for the Random Triangle Model

The random triangle model on a graph G, is a random graph model where the usual i.i.d. measure is perturbed by a factor q ^t(), where q1 is a constant, and t() is the number of triangles in the random subgraph . Here we consider the case where G is the usual two-dimensional triangular lattice, for which there exists a percolation threshold p _c (q) such that the probability of getting an infinite connected component of retained edges is 0 for p<p _c (q), and 1 for p>p _c (q). It has previously been shown that p _c (q) is a decreasing function of q. Here we strengthen this by showing that p _c (q) is strictly decreasing. This confirms a conjecture by Häggström and Jonasson.     

An Efficient Broadband Decoupling Sequence for Liquid Crystals

A new and efficient broadband decoupling sequence is presented. It is based on the phase cycling of two pulses with small phase angles. The pulse width is 180° ± 30°, and the phase angle is ±10°–12°. The sequence contains 16 elements, and is called SPARC-16 as an abbreviation forsmallphaseanglerapidcycling. The application of this sequence to a liquid crystalline compound, 4-n-pentyl-4′-cyanobiphenyl (5CB), is reported. The signal-to-noise ratios and the linewidths of the¹³C peaks of 5CB with SPARC-16 decoupling and with other decoupling methods are compared. The results show that the broadband decoupling efficiency of SPARC-16 is considerably better than those of other methods.     

Leggett-Garg Inequality and Quantumness Under the Influence of Random Telegraph Noise

International Journal of Theoretical Physics - The violation of the Leggett-Garg inequality and the quantum witness of a two-level system are investigated under the influence of stochastic...     

An Isoperimetric Inequality for Fundamental Tones of Free Plates

We establish an isoperimetric inequality for the fundamental tone (first nonzero eigenvalue) of the free plate of a given area, proving the ball is maximal. Given τ > 0, the free plate eigenvalues ω and eigenfunctions u are determined by the equation ΔΔu − τΔu = ωu together with certain natural boundary conditions. The boundary conditions are complicated but arise naturally from the plate Rayleigh quotient, which contains a Hessian squared term |D ² u|².     

基于改进交叉熵算法的随机需求车辆路径设计方法

传统的车辆路径规划方法无法有效地应对实时在线客户需求量随机变化的情形且收敛速度过慢,为了克服其缺点,设计了一种基于蒙特卡罗和重要性采样的交叉熵车辆路径规划方法;首先对随机动态车辆路径规划问题进行了数学建模,然后,描述了蒙特卡罗和交叉熵算法实现稀有事件概率估计的原理,并引入Tsallis熵实现对传统交叉熵的改进,采用蒙特卡罗多次采样获得的费用期望作为路径真实费用的估计值,通过交叉熵算法对重要性概率密度函数和分位数进行不断更新,以增加重要样本获取的概率,从而实现最优路径的获取;最后定义了具体的基于Tsallis熵的随机动态车辆路径规划方法;在MATLAB仿真工具下进行试验,结果表明文中方法能有效地解决随机动态车辆路径问题,与其它方法相比,具有收敛速度快和收敛精度高的优点,是一种有效的随机动态车辆路径规划方法。     

一种改进的AUVs变结构滑模控制策略研究

针对现有的变结构滑模控制切换面单一性会导致系统状态在原点处收敛缓慢的缺陷,对自主式水下机器人(AUVs)变结构滑模控制设计了折线型的切换面,并且进一步改进实现了速度控制和定点定速控制。改进的切换面由斜率不同的自线段构成,并在拐点处通过S型函数光滑过渡。将切换面的斜率减小到0时,则可以实现速度控制,同时为了消除速度控制的稳态误差,引进了采用能智积分方法的积分项。最后在某AUV上进行仿真实验,结果证实了应用折线型切换面可以减少控制系统的上升时间,提高反应速度;速度控制的稳态误差接近0,并很好地实现定点定速的控制效果。该方法可以有效用于AUVs的控制。     

静电场描绘的一种改进方法

本文介绍的是使用算术平均法作出等势线,描绘静电场。与课本中的方法进行比较,结果误差更小,更准确的描绘了静电场的分布。     

An Improved Anharmonic Potential for CHF3

We have investigated the potential energy surface of CHF₃theoretically using standard quantum chemical methods. The harmonic force field was obtained by an MP2 calculation, while the cubic and quartic components have been evaluated at the SCF level in Cartesian coordinates. Finally we scaled the geometry and the potential in symmetry coordinates to reproduce the experimental ground state rotational constants, fundamentals, overtones, and quartic and sextic centrifugal distortion constants of two isotopomers.     

确定地下水污染强度的一种改进的遗传算法

应用反问题方法探讨山东淄博市张店区沣水南部区域地下水中硫酸盐的年入渗强度的数值反演问题.基于最佳摄动思想提出一种改进的遗传算法,数值试验表明了该算法的可行性和有效性.将该算法应用于实际问题的求解,计算结果与实际部门的估算值基本吻合.     

一种改进的光学层析图像重建方法

Alexander D．Klose将联合差分方法用于光学层析图像重建的梯度计算中,但给出的对光学参量的求导算法有局限,他的算法只能实现对边界点光学参量的导数计算,而无法实现对内部点光学参量导数的计算,会导致图像重建失败。在联合差分算法的基础上,研究了针对内部点光学参量的求导方法,给出了一种基于树形结构的对内部点光学参量求导的策略。具体实现时,为了降低计算复杂度,采用近似梯度计算方法。算法的仿真实验结果表明：该方法可以有效地实现对内部点光学参量的导数计算,提出的近似计算方法可降低梯度计算复杂度,提高运算速度,并可得到良好的图像重建质量。     

一种改进的图像组合滤波方法

利用小波阈值去噪和Wiener滤波的特点,在文献［7］的基础上提出了一种改进的组合滤波方法,在进行空域自适应滤波之前,先对经BayesShrink处理过的预去噪图像重新估计其噪声方差,通过数值计算给出了该噪声方差的一种近似最优估计公式.实验结果表明该方法在去噪图像的均方误差和对不同图像的适应性方面都得到了改善.     

改进的Brenner图像清晰度评价算法

图像清晰度评价是基于数字图像的被动式自动调焦技术的基本问题之一.传统Brenner图像清晰度评价算法具有运算速度快特点,但是其评价准确性取决于阈值选取,且其灵敏度较低.针对上述问题,本文提出了一种改进算法.改进算法采用高通和带通两个滤波器对图像进行计算,克服阈值对传统Brenner算法评价结果的影响.为了衡量改进算法的性能,将其与传统的Brenner算法比较,并对评价算法的单峰性、无偏性、灵敏度、计算量等主要衡量标准逐一分析.实验结果表明:与传统的Brenner评价算法相比,改进算法在满足评价算法单峰性和无偏性前提下,提高了灵敏度,降低了计算次数.     

一种周期库仑作用势优化法的改进

利用简单多项式基组拟合变化平缓的长程作用部分,并增加多个限定条件以提高优化势与库仑势的局部重合度,对Natoli优化法进行改进.在不增加计算复杂度的前提下,得到平均偏差明显降低的优化势;建议优化时划分r空间与k空间的准则取k_cr_c ≥ 15.在稠密液氢分子模拟中,优化法获得的能量及压力均小于Natoli法与Ewald法的结果.