s-Conditionally Permutable Subgroups and p-Nilpotency of Finite Groups

A subgroup H of G is called s-conditionally permutable in G if for every Sylow subgroup T of G, there exists an element x ∈ G such that HTK = T^KH. In this paper, we investigate further the influence of s-conditionally permutability of some 2-maximal subgroups of the Sylow subgroup of G, on the structure of finite groups. New criteria for a group G being p-nilpotent are obtained.

AGGREGATE SPECIAL FUNCTIONS TO APPROXIMATE PERMUTING TRI-HOMOMORPHISMS AND PERMUTING TRI-DERIVATIONS ASSOCIATED WITH A TRI-ADDITIVEψ-FUNCTIONAL INEQUALITY IN BANACH ALGEBRAS

In this paper,we define a new class of control functions through aggregate special functions.These class of control functions help us to stabilize and approximate a tri-additiveψ-functional inequality to get a better estimation for permuting tri-homomorphisms and permuting tri-derivations in unital C*-algebras and Banach algebras by the vector-valued alternative fixed point theorem.

Entanglement and Volume Monogamy Features of Permutation Symmetric N-Qubit Pure States with N-Distinct Spinors: GHZ and States

We explore the entanglement features of pure symmetric N-qubit states characterized by N-distinct spinors with a particular focus on the Greenberger-Horne-Zeilinger (GHZ) states and , an equal superposition of W and obverse W states. Along with a comparison of pairwise entanglement and monogamy properties, we explore the geometric information contained in them by constructing their canonical steering ellipsoids. We obtain the volume monogamy relations satisfied by states as a function of number of qubits and compare with the maximal monogamy property of GHZ states.

Weak Fault Feature Extraction of the Rotating Machinery Using Flexible Analytic Wavelet Transform and Nonlinear Quantum Permutation Entropy

Addressing the challenges posed by the nonlinear and non-stationary vibrations in rotating machinery,where weak fault characteristic signals hinder accurate fault state representation,we propose a novel feature extraction method that combines the Flexible Analytic Wavelet Transform(FAWT)with Nonlinear Quantum Permutation Entropy.FAWT,leveraging fractional orders and arbitrary scaling and translation factors,exhibits superior translational invariance and adjustable fundamental oscillatory characteristics.This flexibility enables FAWT to provide well-suited wavelet shapes,effectively matching subtle fault components and avoiding performance degradation associated with fixed frequency partitioning and low-oscillation bases in detecting weak faults.In our approach,gearbox vibration signals undergo FAWT to obtain sub-bands.Quantum theory is then introduced into permutation entropy to propose Nonlinear Quantum Permutation Entropy,a feature that more accurately characterizes the operational state of vibration simulation signals.The nonlinear quantum permutation entropy extracted from sub-bands is utilized to characterize the operating state of rotating machinery.A comprehensive analysis of vibration signals from rolling bearings and gearboxes validates the feasibility of the proposed method.Comparative assessments with parameters derived from traditional permutation entropy,sample entropy,wavelet transform(WT),and empirical mode decomposition(EMD)underscore the superior effectiveness of this approach in fault detection and classification for rotating machinery.

ON SYMMETRIC EXTENDED MS-ALGEBRAS WHOSE CONGRUENCES ARE PERMUTABLE

Algebras whose congruences are permutable were investigated by a number of authors in the literature. In this paper, we study the symmetric extended MS-algebras whose congruences are permutable. Some results obtained by Jie Fang on symmetric extended De Morgan algebras are generalized.

The Lebesgue Measure of the Julia Sets of Permutable Transcendental Entire Functions

In 1958, Baker posed the question that if f and g are two permutable transcendental entire functions, must their Julia sets be the same? In order to study this problem of permutable transcendental entire functions, by the properties of permutable transcendental entire functions, we prove that if f and g are permutable transcendental entire functions, then mes (J(f)) = mes (J(g)). Moreover, we give some results about the zero measure of the Julia sets of the permutable transcendental entire functions family.

Modified 2 Satisfiability Reverse Analysis Method via Logical Permutation Operator

The effectiveness of the logic mining approach is strongly correlated to the quality of the induced logical representation that represent the behaviour of the data.Specifically,the optimum induced logical representation indicates the capability of the logic mining approach in generalizing the real datasets of different variants and dimensions.The main issues with the logic extracted by the standard logic mining techniques are lack of interpretability and the weakness in terms of the structural and arrangement of the 2 Satisfiability logic causing lower accuracy.To address the issues,the logical permutation serves as an alternative mechanism that can enhance the probability of the 2 Satisfiability logical rule becoming true by utilizing the definitive finite arrangement of attributes.This work aims to examine and analyze the significant effect of logical permutation on the performance of data extraction ability of the logic mining approach incorporated with the recurrent discrete Hopfield Neural Network.Based on the theory,the effect of permutation and associate memories in recurrent Hopfield Neural Network will potentially improve the accuracy of the existing logic mining approach.To validate the impact of the logical permutation on the retrieval phase of the logic mining model,the proposed work is experimentally tested on a different class of the benchmark real datasets ranging from the multivariate and timeseries datasets.The experimental results show the significant improvement in the proposed logical permutation-based logic mining according to the domains such as compatibility,accuracy,and competitiveness as opposed to the plethora of standard 2 Satisfiability Reverse Analysis methods.

Short-Term Prediction of Photovoltaic Power Generation Based on LMD Permutation Entropy and Singular Spectrum Analysis

The power output state of photovoltaic power generation is affected by the earth’s rotation and solar radiation intensity.On the one hand,its output sequence has daily periodicity;on the other hand,it has discrete randomness.With the development of new energy economy,the proportion of photovoltaic energy increased accordingly.In order to solve the problem of improving the energy conversion efficiency in the grid-connected optical network and ensure the stability of photovoltaic power generation,this paper proposes the short-termprediction of photovoltaic power generation based on the improvedmulti-scale permutation entropy,localmean decomposition and singular spectrum analysis algorithm.Firstly,taking the power output per unit day as the research object,the multi-scale permutation entropy is used to calculate the eigenvectors under different weather conditions,and the cluster analysis is used to reconstruct the historical power generation under typical weather rainy and snowy,sunny,abrupt,cloudy.Then,local mean decomposition(LMD)is used to decompose the output sequence,so as to extract more detail components of the reconstructed output sequence.Finally,combined with the weather forecast of the Meteorological Bureau for the next day,the singular spectrumanalysis algorithm is used to predict the photovoltaic classification of the recombination decomposition sequence under typical weather.Through the verification and analysis of examples,the hierarchical prediction experiments of reconstructed and non-reconstructed output sequences are compared.The results show that the algorithm proposed in this paper is effective in realizing the short-term prediction of photovoltaic generator,and has the advantages of simple structure and high prediction accuracy.

Cloud Resource Integrated Prediction Model Based on Variational Modal Decomposition-Permutation Entropy and LSTM

Predicting the usage of container cloud resources has always been an important and challenging problem in improving the performance of cloud resource clusters.We proposed an integrated prediction method of stacking container cloud resources based on variational modal decomposition(VMD)-Permutation entropy(PE)and long short-term memory(LSTM)neural network to solve the prediction difficulties caused by the non-stationarity and volatility of resource data.The variational modal decomposition algorithm decomposes the time series data of cloud resources to obtain intrinsic mode function and residual components,which solves the signal decomposition algorithm’s end-effect and modal confusion problems.The permutation entropy is used to evaluate the complexity of the intrinsic mode function,and the reconstruction based on similar entropy and low complexity is used to reduce the difficulty of modeling.Finally,we use the LSTM and stacking fusion models to predict and superimpose;the stacking integration model integrates Gradient boosting regression(GBR),Kernel ridge regression(KRR),and Elastic net regression(ENet)as primary learners,and the secondary learner adopts the kernel ridge regression method with solid generalization ability.The Amazon public data set experiment shows that compared with Holt-winters,LSTM,and Neuralprophet models,we can see that the optimization range of multiple evaluation indicators is 0.338∼1.913,0.057∼0.940,0.000∼0.017 and 1.038∼8.481 in root means square error(RMSE),mean absolute error(MAE),mean absolute percentage error(MAPE)and variance(VAR),showing its stability and better prediction accuracy.

基于余弦相似度列置换的Q矩阵修正方法

国内外研究者已开发出多种有效的Q矩阵修正方法,但当Q矩阵错误率较高时,仍存在修正效果不佳的问题.该文将基于塔克一致性系数和余弦相似度的列置换方法融入4种Q矩阵修正方法(GDI、Hull、MLR-B和stepwise)中,并借助Q矩阵向量和元素正确率等指标来评价新方法的修正效果.蒙特卡罗(Monte Carlo)模拟研究结果表明:在各种条件组合下,4种Q矩阵修正方法经过列置换后的修正效果得到明显提升,特别是当Q矩阵错误率较高时效果更加显著.

基于新混合乌鸦搜索算法的置换流水车间调度

为了更加有效地求解以最大完工时间最小化为目标的置换流水车间调度问题,提出一种新混合乌鸦搜索算法(NHCSA)。首先,对一种基于NEH的启发式算法进行了改进,在此基础上提出新的方法以改善初始种群的质量和多样性;其次,采用SPV(Smallest-Position-Value)规则进行编码,使算法能够处理离散的调度问题;最后,针对迭代贪婪算法,提出了自动调整重插入工件范围的方法、引入了TB机制,并采用改进的迭代贪婪算法对最佳工件排序进行局部搜索,以提升算法收敛的精度。基于典型测试集进行了仿真测试,结果验证了所提算法的寻优能力和稳定性。尤其是在针对Rec19和Rec25算例的比较中,仅NHCSA取得了当前最优解,进一步证明了其优越性。

分布式装配置换流水车间调度问题研究综述

近几十年来,现代制造业发展迅速,一种趋势是在分布式生产工厂进行工件的加工,待完成后到装配工厂集中装配成最终产品。该模式在带来诸多好处的同时,对资源调度提出了新的挑战。针对分布式装配置换流水车间调度问题(distributed assembly permutation flowshop scheduling problem,DAPFSP),介绍了DAPFSP的背景和存在的主要困难,进而对以最小化最大完工时间为优化目标的DAPFSP,从数学模型、编解码策略、全局和局部搜索算法角度进行探讨,分别综述了以最小化总流程时间等为优化目标,具有零等待等约束,以及考虑准备时间等因素的DAPFSP研究成果。最后,对有待进一步开展的研究工作进行展望。

基于小波散射变换和MFCC的双特征语音情感识别融合算法

为了充分挖掘语音信号频谱包含的情感信息以提高语音情感识别的准确性,提出了一种基于小波散射变换和梅尔频率倒谱系数(Mel-frequency cepstral coefficient,MFCC)的排列熵加权和偏差调整规则的语音情感识别融合算法(PEW-BAR)。算法首先获取语音信号的小波散射特征和梅尔频率倒谱系数的相关特征;然后按尺度维度扩展小波散射特征,利用支持向量机得到情感识别的后验概率并获得排列熵,并使用排列熵对后验概率进行加权;最后采用一种偏差调整规则进一步融合MFCC的相关特征的识别结果。实验结果表明,在EMODB、RAVDESS和eNTERFACE05数据集上,与传统的基于小波散射系数的语音情感识别方法相比,该算法将ACC分别提高了2.82%、2.85%和5.92%,将UAR分别提升了3.40%、2.87%和5.80%,IEMOCAP上提高了6.89%。

小净距隧道掘进爆破及其振动响应规律研究

为了研究爆破荷载作用下小净距隧道中夹岩区的动力稳定性问题,依托小龙门隧道爆破工程,开展了现场爆破振动监测试验。通过改进的变分模态分解(variational mode decomposition,VMD)与多尺度排列熵(multi-scale permutation entropy,MPE)算法对爆破振动信号进行消噪处理,基于此分析了掏槽孔与周边孔爆破在后行洞左拱腰(非中夹岩区)、右拱腰(中夹岩区)中产生的振动特征差异。结果表明:采用改进的自适应VMD-MPE算法可以有效消除振动信号中的噪声,并降低了主观决策的影响;此外,相对于非中夹岩区,中夹岩对爆破振动具有明显的放大效应,其质点峰值振速明显大于非中夹岩区,但中夹岩区的振动衰减速度更快;同时,通过对比非中夹岩区与中夹岩区各测点振动频率特征可以发现,中夹岩区小于40 Hz的低频振动能量占比较大,更易引起支护结构的共振,发生损伤与破坏的风险更高,应重点关注;受“转角削弱”作用以及地震波传播路径的影响,在比例距离SD小于等于11.57 m·kg^(1/3)范围内,周边孔爆破在掌子面后方围岩中产生的振速大于掏槽孔。

室内地埋供热管道泄漏的声学监测及其信号去噪方法研究

为了更精确地对室内地埋供热管道泄漏声学监测信号进行主要特征频率提取和分析,需先对测量信号去噪。本文采用变分模态分解(variational mode decomposition,VMD),对距离漏水点5 cm和40 cm测量点的原始声信号分别进行模态分解,计算出各模态分量的排列熵并将其作为噪声信号剔除的依据,最后对信号进行重构,并与经验模态分解(empirical mode decomposition,EMD)、集合经验模态分解(ensemble empirical mode decomposition,EEMD)的处理结果进行对比。发现相比于其他两种分解降噪方法,VMD能够更好地解决模态混叠问题,能更为精确地将噪声信号去除,达到更好的去噪效果。

基于改进变分模态分解和优化堆叠降噪自编码器的轴承故障诊断

针对滚动轴承在噪声干扰下故障特征难以提取的问题,提出一种改进变分模态分解(VMD)和复合缩放排列熵(CZPE)的特征提取新方法,并利用优化堆叠降噪自编码器(SDAE)进行故障分类。首先,提出由“余弦相似度—峭度—包络熵”新综合评价指标自适应优化分解参数的改进VMD方法,并通过该指标筛选分解后的本征模态函数(IMF)分量;然后,为提取更全面的故障特征,引入新的复合缩放排列熵对各有效IMF的故障特征进行量化;最后,提出一种基于鼠群优化算法(RSO)与麻雀搜索算法(SSA)的混合算法优化SDAE网络超参数,将故障特征输入优化后SDAE网络中得到分类结果。采用美国CWRU轴承数据集进行验证,实验结果表明该方法能全面稳定地提取背景噪声下的故障特征,且与其他方法相比具有更好的抗噪性能和更高的故障诊断准确率。

基于信号图像化和CNN-ResNet的配电网单相接地故障选线方法

配电网发生单相接地故障时,零序电流呈现较强的非线性与非平稳性,故障选线较为困难,针对此问题,提出一种基于信号图像化和卷积神经网络-残差网络的配电网单相接地故障选线方法。首先,利用排列熵优化变分模态分解算法的参数,将零序电流信号分解成一系列固有模态函数;其次,引入新的数据预处理方式,将固有模态函数转成二维图像,获得零序电流信号的时频特征图;最后,利用一维卷积神经网络提取零序电流信号的相关性和特征,利用残差网络提取时频特征图的特征,将两个网络融合,构建混合卷积神经网络结构,实现故障选线。仿真与实验结果表明,该方法能够在高阻接地、采样时间不同步、强噪声等情况下准确地选择出故障线路,可满足配电网对故障选线准确性和可靠性的需求。

一种针对驻留转换雷达的信号分选算法

复杂电磁环境下驻留转换雷达的信号分选是制约电子侦察技术发展的瓶颈,由于其复杂多变的成形规律,信号子周期难以被检测;脉冲重复周期调制类型不明,脉冲序列无法成功提取;提取的多个子周期脉冲序列无法合并为一部雷达信号,造成虚警。针对以上问题,提出一种针对驻留转换雷达的信号分选算法,利用双门限提高子周期检测概率,通过霍夫变换结合迭代自组织聚类判断信号是否属于驻留转换雷达,改进搜索算法以提取脉冲序列,依据排列熵指标将多脉冲序列合并为一部驻留转换雷达信号。仿真实验结果表明,所提算法在25%脉冲丢失率的复杂电磁环境下,可以将三部驻留转换雷达信号成功分选。

分块三角矩阵逆的存在性判定及其计算

研究了分块三角矩阵可逆性的判定及其逆矩阵的表示.首先,利用分块初等矩阵的性质给出了分块上(下)三角矩阵的可逆条件及其逆矩阵的表示.然后,利用置换矩阵的性质进一步给出分块次上(下)三角矩阵的可逆条件及其逆矩阵的表示.最后,通过实例对所提计算方法进行验证.

基于tSNE多特征融合的JTC轨旁设备故障检测

无绝缘轨道电路(Jointless Track Circuit,JTC)的轨旁设备在室外长期运营过程中,其可靠性会逐渐降低,进而给列车行车安全带来严重威胁。以轨道电路读取器(Track Circuit Reader,TCR)感应电压为基础,针对JTC故障诊断研究中轨旁设备故障类型复杂和故障特征提取不充分等问题,提出一种基于t分布随机邻域嵌入(t-distribution Stochastic Neighbor Embedding,tSNE)多特征融合的JTC轨旁设备故障检测模型。首先,根据不同轨旁设备故障对TCR感应电压信号的影响,分析各轨旁设备的故障特性。其次,提取TCR感应电压信号的方差、有效值、峰值因子等幅值域特征,以及排列熵、散布熵特征构成原始故障特征集。为了去除其中的冗余信息,得到具有较高判别性的融合流形特征,利用tSNE算法进行特征融合。最后输入深度残差网络(Deep Residual Network,DRN)得到故障检测混淆矩阵,实现轨旁设备故障定位。实验结果表明:tSNE算法融合后的特征在异类和同类故障样本之间分别有较大的类间间距和较小的类内间距,相比主成分分析(Principal Component Analysis, PCA)、随机相似性嵌入(Stochastic Proximity Embedding, SPE)、随机邻域嵌入(Stochastic Neighbor Embedding,SNE)算法具有更优的融合特征提取效果。此外,结合DRN可以有效识别多种轨旁设备故障,达到98.28%的故障检测准确率。通过现场信号进行实例验证,结果表明该故障检测模型能满足铁路现场对室外设备进行故障定位的实际需求。