一类带θ(t)型核的奇异积分算子的有界性

为了解决θ(t)型奇异积分算子在Lipschitz空间上的有界性问题,通过将标准的奇异积分核K(x,y)改为θ(t)型核K(x,y),得到θ(t)型奇异积分算子Tf(x)=∫K(x,y)f(y)dμ(y)在μ为非双倍测度时,算子Tε在Lipschitz空间上的一个等价条件:‖Tε1‖Λβ≤c1 Tε:Λβ→Λβ有界且‖Tε‖Λβ→Λβ≤c2。     

Some Remarks on Operators and Their Conjugates

We first characterize the range spaces F for which {T':T∈K(E,F)}=K(F',E') holds for all Banach spaces E. Then we present some sufficient conditions for the equality T'=T'. Some related results are also included.     

Design of DC Partial Discharge Detecting System for Electrical Equipment

A balancing method was used to build a DC partial discharge (PD) testing circuit for electrical equipment, and a narrow-band detection system was designed using detection resistance and a filter. After signal accessed a high-speed digital acquisition (DAQ) card, the system was triggered to extract a single partial discharge (PD) signal. To eliminate the interference pulses caused by power supply ripple, etc., the time domain and frequency domain features of pulses were extracted. Based on the features, cluster analysis was used to exclude interference pulses. Two-dimensional and three-dimensional histograms were obtained by use of the Δt method. Then, 22 discharge statistical operators were calculated for the two-dimensional charts. Lastly, the defective system is capable of PD detection in electrical equipment.     

湮灭算符任意次幂本征态的Wigner函数

用在Fock态表象下的Wigner函数重构了湮灭算符任意次幂本征态的Wigner函数.分析了这些函数在相空间中的分布规律,并据此讨论了湮灭算符任意次幂的本征态的非经典特性.结果表明,Wigner函数的分布与湮灭算符本征值的大小有关;湮灭算符1次幂的本征态(即相干态)为准经典态(其Wigner函数的取值总是非负的),而其高次幂的本征态则具有明显的非经典特性(其Wigner函数均出现了负值).     

基于改进Hough变换的车道线检测

针对车道线检测中存在的诸多问题,在道路图像预处理的基础上,对Canny算子中的双阈值选取进行改进,能够自适应精确提取车道线边缘特征,并利用带极角约束的Hough变换完成直线检测。算法能够在不同道路环境中准确检测车道线标识,降低光照等因素对车道线检测结果的影响。     

基于共享排序实现CUBE操作的一个优化算法

CUBE操作在数据仓库/联机分析处理中是一个关键性的操作,它需要计算一个属性列表上的所有可能的组合,并等价于标准sQL中一组group by子句.作者分析了CUBE操作的几种实现方法,并扩展了一种以group by子司共享排序为基础实现CUBE操作的优化算法,在应用中有较好的效果.     

基于C-OWA算子和BP神经网络的地铁车站火灾安全评价

为克服地铁车站火灾安全指标动态性变化、耦合性作用等特征导致管理人员难以借助传统数理统计方法对车站安全做出科学且具有延展性评价的难题,提出构建基于C-OWA算子和BP神经网络的地铁车站火灾安全评价模型。首先,根据火灾发生的不同阶段并考虑人员疏散因素,构建地铁车站火灾安全评价指标体系; 然后,利用C-OWA算子对专家决策数据重新集结处理,削弱个别极值对权重的影响,提高赋权的科学性; 最后,利用BP神经网络连续自适应学习和反馈能力模拟指标复杂的耦合关系。将该模型运用在郑州地铁2号线紫荆山车站的火灾安全评价中,结果表明该车站火灾安全性高。     

NUCLEAR OPERATORS ON C（Ω，X）

ＮＵＣＬＥＡＲＯＰＥＲＡＴＯＲＳＯＮＣ（Ω，Ｘ）ＨｅＣｈｅｎ（ＤｅｐａｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ）ＡｂｓｔｒａｃｔＴｈｉｓｐａｐｅｒｉｓｔｏｄｅｃｉｄｅｔｈｅｎｕｃｌｅａｒｏｐｅｒａｔｏｒｏｎｔｈｅｓｐａｃｅｏｆｖｅｃｔｏｒ...     

基于机器视觉的无砟轨道层间结构位移测量方法研究

为实现板式无砟轨道层间离缝的全天候监测,提出一种基于机器视觉的非接触式层间结构位移测量方法。针对传统Canny边缘检测算法自适应性较差的问题,对其进行改进。利用自适应中值滤波器代替高斯滤波器;提出一种基于分块迭代的局部阈值分割法自适应地选取阈值,并通过高斯拟合算法检测改进算法的优越性。通过室内试验对标记点大小、光源强度、拍摄距离和拍摄角度4个方面进行对比分析,选择最适测量参数。试验结果表明,在标记点运动的状态下,最大测量误差为2.6%,在误差的允许范围之内。通过现场测试验证,该测量方法可有效地对板式无砟轨道层间结构位移进行精确测量,为我国高速铁路的运行安全监测提供技术支持。     

Immune clonal selection optimization method with combining mutation strategies

In artificial immune optimization algorithm, the mutation of immune cells has been considered as the key operator that determines the algorithm performance. Traditional immune optimization algorithms have used a single mutation operator, typically a Gaussian. Using a variety of mutation operators that can be combined during evolution to generate different probability density function could hold the potential for producing better solutions with less computational effort. In view of this, a linear combination mutation operator of Gaussian and Cauchy mutation is presented in this paper, and a novel clonal selection optimization method based on clonal selection principle is proposed also. The simulation results show the combining mutation strategy can obtain the same performance as the best of pure strategies or even better in some cases.