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Quantum geometric tensor and the topological characterization of the extended Su-Schrieffer-Heeger model
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作者 曾相龙 赖文喜 +1 位作者 魏祎雯 马余全 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第3期260-265,共6页
We investigate the quantum metric and topological Euler number in a cyclically modulated Su-Schrieffer-Heeger(SSH)model with long-range hopping terms.By computing the quantum geometry tensor,we derive exact expression... We investigate the quantum metric and topological Euler number in a cyclically modulated Su-Schrieffer-Heeger(SSH)model with long-range hopping terms.By computing the quantum geometry tensor,we derive exact expressions for the quantum metric and Berry curvature of the energy band electrons,and we obtain the phase diagram of the model marked by the first Chern number.Furthermore,we also obtain the topological Euler number of the energy band based on the Gauss-Bonnet theorem on the topological characterization of the closed Bloch states manifold in the first Brillouin zone.However,some regions where the Berry curvature is identically zero in the first Brillouin zone result in the degeneracy of the quantum metric,which leads to ill-defined non-integer topological Euler numbers.Nevertheless,the non-integer"Euler number"provides valuable insights and an upper bound for the absolute values of the Chern numbers. 展开更多
关键词 quantum geometric tensor topological Euler number Chern number Berry curvature quantum metric Su-Schrieffer-Heeger(SSH)model
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Research on the Construction of Application-Oriented Undergraduate Data Science and Big Data Technology Courses
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作者 Zhuoqun Li 《Journal of Contemporary Educational Research》 2022年第5期69-74,共6页
In order to conduct research and analysis on the construction of application-oriented undergraduate data science and big data technology courses,the professional development characteristics of universities and enterpr... In order to conduct research and analysis on the construction of application-oriented undergraduate data science and big data technology courses,the professional development characteristics of universities and enterprises should be taken into consideration,the development trend of the big data industry should be scrutinized,and professional application-oriented talents should be cultivated in line with job requirements.This paper expounds the demand for capacity-building professional development in application-oriented undergraduate data science and big data technology courses,conducts research and analysis on the current situation of professional development,and puts forward strategies in hope to provide reference for capacity-building professional development. 展开更多
关键词 Data science and big data technology Professional development Application-oriented undergraduate education
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Ground-state information geometry and quantum criticality in an inhomogeneous spin model
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作者 马余全 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第9期91-96,共6页
We investigate the ground-state Riemannian metric and the cyclic quantum distance of an inhomogeneous quantum spin-1/2 chain in a transverse field. This model can be diagonalized by using a general canonical transform... We investigate the ground-state Riemannian metric and the cyclic quantum distance of an inhomogeneous quantum spin-1/2 chain in a transverse field. This model can be diagonalized by using a general canonical transformation to the fermionic Hamiltonian mapped from the spin system. The ground-state Riemannian metric is derived exactly on a parameter manifold ring S1, which is introduced by performing a gauge transformation to the spin Hamiltonian through a twist operator. The cyclic ground-state quantum distance and the second derivative of the ground-state energy are studied in different exchange coupling parameter regions. Particularly, we show that, in the case of exchange coupling parameter J a = J b, the quantum ferromagnetic phase can be characterized by an invariant quantum distance and this distance will decay to zero rapidly in the paramagnetic phase. 展开更多
关键词 基态能量 自旋模型 非均匀 量子 信息几何 临界性 距离和 自旋系统
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Diverse soliton solutions and dynamical analysis of the discrete coupled mKdV equation with 4×4 Lax pair
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作者 刘雪珂 闻小永 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第12期179-191,共13页
Under consideration in this study is the discrete coupled modified Korteweg-de Vries(mKdV)equation with 4×4 Lax pair.Firstly,through using continuous limit technique,this discrete equation can be mapped to the co... Under consideration in this study is the discrete coupled modified Korteweg-de Vries(mKdV)equation with 4×4 Lax pair.Firstly,through using continuous limit technique,this discrete equation can be mapped to the coupled KdV and mKdV equations,which may depict the development of shallow water waves,the optical soliton propagation in cubic nonlinear media and the Alfven wave in a cold collision-free plasma.Secondly,the discrete generalized(r,N-r)-fold Darboux transformation is constructed and extended to solve this discrete coupled equation with the fourth-order linear spectral problem,from which diverse exact solutions including usual multi-soliton and semi-rational soliton solutions on the vanishing background,higher-order rational soliton and mixed hyperbolic-rational soliton solutions on the non-vanishing background are derived,and the limit states of some soliton and rational soliton solutions are analyzed by the asymptotic analysis technique.Finally,the numerical simulations are used to explore the dynamical behaviors of some exact soliton solutions.These results may be helpful for understanding some physical phenomena in fields of shallow water wave,optics,and plasma physics. 展开更多
关键词 discrete coupled mKdV equation continuous limit discrete generalized(r N-r)-fold Darboux transformation multi-soliton solutions rational soliton solutions
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Vibration and sound transmission loss characteristics of porous foam functionally graded sandwich panels in thermal environment
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作者 Wenhao YUAN Haitao LIAO +1 位作者 Ruxin GAO Fenglian LI 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2023年第6期897-916,共20页
This study investigates the vibration and acoustic properties of porous foam functionally graded(FG)plates under the influence of the temperature field.The dynamics equations of the system are established based on Ham... This study investigates the vibration and acoustic properties of porous foam functionally graded(FG)plates under the influence of the temperature field.The dynamics equations of the system are established based on Hamilton's principle by using the higher-order shear deformation theory under the linear displacement-strain assumption.The displacement shape function is assumed according to the four-sided simply-supported(SSSS)boundary condition,and the characteristic equations of the system are derived by combining the motion control equations.The theoretical model of vibro-acoustic coupling is established by using the acoustic theory and fluid-structure coupling solution method under the simple harmonic acoustic wave.The system's natural frequency and sound transmission loss(STL)are obtained through programming calculations and compared with the literature and COMSOL simulation to verify the validity and reliability of the theoretical model.The effects of various factors,such as temperature,porosity coefficients,gradient index,core thickness,width-to-thickness ratio on the vibration,and STL characteristics of the system,are discussed.The results provide a theoretical basis for the application of porous foam FG plates in engineering to optimize vibration and sound transmission properties. 展开更多
关键词 porous foam functionally graded(FG)plate thermal environment natural frequency sound transmission loss(STL)
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Semi-regularized Hermitian and Skew-Hermitian Splitting Preconditioning for Saddle-Point Linear Systems
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作者 Kang-Ya Lu Shu-Jiao Li 《Communications on Applied Mathematics and Computation》 EI 2023年第4期1422-1445,共24页
In this paper,a two-step semi-regularized Hermitian and skew-Hermitian splitting(SHSS)iteration method is constructed by introducing a regularization matrix in the(1,1)-block of the first iteration step,to solve the s... In this paper,a two-step semi-regularized Hermitian and skew-Hermitian splitting(SHSS)iteration method is constructed by introducing a regularization matrix in the(1,1)-block of the first iteration step,to solve the saddle-point linear system.By carefully selecting two different regularization matrices,two kinds of SHSS preconditioners are proposed to accelerate the convergence rates of the Krylov subspace iteration methods.Theoretical analysis about the eigenvalue distribution demonstrates that the proposed SHSS preconditioners can make the eigenvalues of the corresponding preconditioned matrices be clustered around 1 and uniformly bounded away from 0.The eigenvector distribution and the upper bound on the degree of the minimal polynomial of the SHSS-preconditioned matrices indicate that the SHSS-preconditioned Krylov subspace iterative methods can converge to the true solution within finite steps in exact arithmetic.In addition,the numerical example derived from the optimal control problem shows that the SHSS preconditioners can significantly improve the convergence speeds of the Krylov subspace iteration methods,and their convergence rates are independent of the discrete mesh size. 展开更多
关键词 Hermitian and skew-Hermitian splitting(HSS) EIGENVALUES EIGENVECTORS PRECONDITIONER Saddle-point linear system
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A PSO Improved with Imbalanced Mutation and Task Rescheduling for Task Offloading in End-Edge-Cloud Computing
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作者 Kaili Shao Hui Fu +1 位作者 Ying Song Bo Wang 《Computer Systems Science & Engineering》 SCIE EI 2023年第11期2259-2274,共16页
To serve various tasks requested by various end devices with different requirements,end-edge-cloud(E2C)has attracted more and more attention from specialists in both academia and industry,by combining both benefits of... To serve various tasks requested by various end devices with different requirements,end-edge-cloud(E2C)has attracted more and more attention from specialists in both academia and industry,by combining both benefits of edge and cloud computing.But nowadays,E2C still suffers from low service quality and resource efficiency,due to the geographical distribution of edge resources and the high dynamic of network topology and user mobility.To address these issues,this paper focuses on task offloading,which makes decisions that which resources are allocated to tasks for their processing.This paper first formulates the problem into binary non-linear programming and then proposes a particle swarm optimization(PSO)-based algorithm to solve the problem.The proposed algorithm exploits an imbalance mutation operator and a task rescheduling approach to improve the performance of PSO.The proposed algorithm concerns the resource heterogeneity by correlating the probability that a computing node is decided to process a task with its capacity,by the imbalance mutation.The task rescheduling approach improves the acceptance ratio for a task offloading solution,by reassigning rejected tasks to computing nodes with available resources.Extensive simulated experiments are conducted.And the results show that the proposed offloading algorithm has an 8.93%–37.0%higher acceptance ratio than ten of the classical and up-to-date algorithms,and verify the effectiveness of the imbalanced mutation and the task rescheduling. 展开更多
关键词 Cloud computing edge computing edge cloud task scheduling task offloading particle swarm optimization
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TransTM:A device-free method based on time-streaming multiscale transformer for human activity recognition
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作者 Yi Liu Weiqing Huang +4 位作者 Shang Jiang Bobai Zhao Shuai Wang Siye Wang Yanfang Zhang 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2024年第2期619-628,共10页
RFID-based human activity recognition(HAR)attracts attention due to its convenience,noninvasiveness,and privacy protection.Existing RFID-based HAR methods use modeling,CNN,or LSTM to extract features effectively.Still... RFID-based human activity recognition(HAR)attracts attention due to its convenience,noninvasiveness,and privacy protection.Existing RFID-based HAR methods use modeling,CNN,or LSTM to extract features effectively.Still,they have shortcomings:1)requiring complex hand-crafted data cleaning processes and 2)only addressing single-person activity recognition based on specific RF signals.To solve these problems,this paper proposes a novel device-free method based on Time-streaming Multiscale Transformer called TransTM.This model leverages the Transformer's powerful data fitting capabilities to take raw RFID RSSI data as input without pre-processing.Concretely,we propose a multiscale convolutional hybrid Transformer to capture behavioral features that recognizes singlehuman activities and human-to-human interactions.Compared with existing CNN-and LSTM-based methods,the Transformer-based method has more data fitting power,generalization,and scalability.Furthermore,using RF signals,our method achieves an excellent classification effect on human behaviorbased classification tasks.Experimental results on the actual RFID datasets show that this model achieves a high average recognition accuracy(99.1%).The dataset we collected for detecting RFID-based indoor human activities will be published. 展开更多
关键词 Human activity recognition RFID TRANSFORMER
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A CNN-Based Single-Stage Occlusion Real-Time Target Detection Method
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作者 Liang Liu Nan Yang +4 位作者 Saifei Liu Yuanyuan Cao Shuowen Tian Tiancheng Liu Xun Zhao 《Journal of Intelligent Learning Systems and Applications》 2024年第1期1-11,共11页
Aiming at the problem of low accuracy of traditional target detection methods for target detection in endoscopes in substation environments, a CNN-based real-time detection method for masked targets is proposed. The m... Aiming at the problem of low accuracy of traditional target detection methods for target detection in endoscopes in substation environments, a CNN-based real-time detection method for masked targets is proposed. The method adopts the overall design of backbone network, detection network and algorithmic parameter optimisation method, completes the model training on the self-constructed occlusion target dataset, and adopts the multi-scale perception method for target detection. The HNM algorithm is used to screen positive and negative samples during the training process, and the NMS algorithm is used to post-process the prediction results during the detection process to improve the detection efficiency. After experimental validation, the obtained model has the multi-class average predicted value (mAP) of the dataset. It has general advantages over traditional target detection methods. The detection time of a single target on FDDB dataset is 39 ms, which can meet the need of real-time target detection. In addition, the project team has successfully deployed the method into substations and put it into use in many places in Beijing, which is important for achieving the anomaly of occlusion target detection. 展开更多
关键词 Real-Time Mask Target CNN (Convolutional Neural Network) Single-Stage Detection Multi-Scale Feature Perception
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Darboux Transformation and Explicit Solutions for Discretized Modified Korteweg-de Vries Lattice Equation 被引量:8
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作者 闻小永 高以天 《Communications in Theoretical Physics》 SCIE CAS CSCD 2010年第5期825-830,共6页
修改 Korteweg-de Vries (mKdV ) 打了方程能被用来在液体,血浆,和光学描述某些非线性的现象。在这份报纸, discretized mKdV 格子方程被调查。在符号的计算的帮助下,分离矩阵光谱为那个系统的问题被构造。为那个系统的 Darboux 转... 修改 Korteweg-de Vries (mKdV ) 打了方程能被用来在液体,血浆,和光学描述某些非线性的现象。在这份报纸, discretized mKdV 格子方程被调查。在符号的计算的帮助下,分离矩阵光谱为那个系统的问题被构造。为那个系统的 Darboux 转变基于结果被建立光谱问题。明确的答案经由 Darboux 转变被导出。那些解决方案的结构图形地被显示出,它可能是有用的在液体,血浆,和光学理解一些物理进程。 展开更多
关键词 达布变换 德弗里斯 离散 方程 KDV 精确解 LATTICE 等离子体
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Early faults prediction of running state of electromechanical systems and reconfigurable integration of series safety monitoring systems 被引量:3
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作者 Xu Xiaoli Zuo Yunbo +2 位作者 Chen Tao Liu Xiuli Chen Shanpeng 《仪器仪表学报》 EI CAS CSCD 北大核心 2014年第S2期224-232,共9页
Fault prediction technology of running state of electromechanical systems is one of the key technologies that ensure safe and reliable operation of electromechanical equipment in health state. For multiple types of mo... Fault prediction technology of running state of electromechanical systems is one of the key technologies that ensure safe and reliable operation of electromechanical equipment in health state. For multiple types of modern, high-end and key electromechanical equipment, this paper will describe the early faults prediction method for multi-type electromechanical systems, which is favorable for predicting early faults of complex electromechanical systems in non-stationary, nonlinear, variable working conditions and long-time running state; the paper shall introduce the reconfigurable integration technology of series safety monitoring systems based on which the integrated development platform of series safety monitoring systems is built. This platform can adapt to integrated R&D of series safety monitoring systems characterized by high technology, multiple species and low volume. With the help of this platform, series safety monitoring systems were developed, and the Remote Network Security Monitoring Center for Facility Groups was built. Experimental research and engineering applications show that: this new fault prediction method has realized the development trend features extraction of typical electromechanical systems, multi-information fusion, intelligent information decision-making and so on, improving the processing accuracy, relevance and applicability of information; new reconfigurable integration technologies have improved the integration level and R&D efficiency of series safety monitoring systems as well as expanded the scope of application; the series safety monitoring systems developed based on reconfigurable integration platform has already played an important role in many aspects including ensuring safety operation of equipment, stabilizing product quality, optimizing running state, saving energy consumption, reducing environmental pollution, improving working conditions, carrying out scientific maintenance, advancing equipment utilization, saving maintenance charge and enhancing the level of information management. 展开更多
关键词 ELECTROMECHANICAL SYSTEMS EARLY FAULTS safety control monitoring SYSTEMS RECONFIGURABLE INTEGRATION
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INVESTIGATION ON STABILITY OF PZT/EPOXY PIEZOCOMPOSITE WITH PRESSURE AND TEMPERATURE 被引量:2
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作者 Likun Wang Yuanyuan Wan +2 位作者 Li Li Lei Qin Yi Lu 《Acta Mechanica Solida Sinica》 SCIE EI 2009年第3期226-231,共6页
With the universal test machine and temperature test chamber,the effect of pres-sure and temperature on the behavior of 1-3 and 1-3-2 piezocomposites prepared with PZT/epoxy in our lab has been investigated through el... With the universal test machine and temperature test chamber,the effect of pres-sure and temperature on the behavior of 1-3 and 1-3-2 piezocomposites prepared with PZT/epoxy in our lab has been investigated through electrical impedance and dielectric analysis.The per-mittivity,resonant frequency and dielectric loss of the composites have been measured under vertical stress and temperature,and the variety of the material properties under pressure and temperature could also be obtained.The pressure and temperature stability of the composites have been assessed through experiments.The data of these two types of composites indicated that the stability of 1-3-2 composite with pressure was better than that of 1-3 composite,and two composites have almost the same dielectric stability with temperature.However,1-3-2 composite showed slower frequency variation than 1-3 composite. 展开更多
关键词 温度稳定 环氧树脂 稳定性 压力 1-3复合材料 PZT 介电常数 万能试验机
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Discrete symmetrical perturbation and variational algorithm of disturbed Lagrangian systems 被引量:1
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作者 夏丽莉 戈新生 陈立群 《Chinese Physics B》 SCIE EI CAS CSCD 2019年第3期77-83,共7页
We investigate the perturbation to discrete conformal invariance and the adiabatic invariants of Lagrangian systems. A variational algorithm is proposed for a system subjected to the perturbation quantities. The discr... We investigate the perturbation to discrete conformal invariance and the adiabatic invariants of Lagrangian systems. A variational algorithm is proposed for a system subjected to the perturbation quantities. The discrete determining equations of the perturbations to conformal invariance are established. For perturbed Lagrangian systems, the condition of the existence of adiabatic invariant is derived from the discrete perturbation to conformal invariance. The numerical simulations demonstrate that the variational algorithm has the higher precision and the longer time stability than the standard numerical method. 展开更多
关键词 VARIATIONAL INTEGRATOR DISCRETE PERTURBATION to conformal invariance DISCRETE ADIABATIC INVARIANTS disturbed Lagrangian systems
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Bloody Mahjong playing strategy based on the integration of deep learning and XGBoost 被引量:2
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作者 Shijing Gao Shuqin Li 《CAAI Transactions on Intelligence Technology》 SCIE EI 2022年第1期95-106,共12页
Bloody Mahjong is a kind of mahjong.It is very popular in China in recent years.It not only has the characteristics of mahjong's conventional state space,huge hidden information,complicated rules,and large randomn... Bloody Mahjong is a kind of mahjong.It is very popular in China in recent years.It not only has the characteristics of mahjong's conventional state space,huge hidden information,complicated rules,and large randomness of hand cards but also has special rules such as Change three,Hu must lack at least one suit,and Continue playing after Hu.These rules increase the difficulty of research.These special rules are used as the input of the deep learning DenseNet model.DenseNet is used to extract the Mahjong situation features.The learned features are used as the input of the classification algorithm XGBoost,and then the XGBoost algorithm is used to derive the card strategy.Experiments show that the fusion model of deep learning and XGBoost proposed in this paper has higher accuracy than the single model using only one of them in the case of highdimensional sparse features.In the case of fewer training rounds,accuracy of the model can still reach 83%.In the games against real people,it plays like human. 展开更多
关键词 BLOOD learning INTEGRATION
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Dynamical and Geometric Phases of a Two Energy-Level Bose-Einstein Condensate Interacting with a Laser Field 被引量:1
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作者 于肇贤 焦志勇 +1 位作者 金硕 王继锁 《Chinese Physics Letters》 SCIE CAS CSCD 2007年第2期330-332,共3页
由不变的理论使用,我们学习与一块时间依赖者激光地交往的二精力级的 Bose-Einsteincondensate,动态、几何的阶段 aregiven 分别地。Aharonov-Anandan 阶段也在轮转的进化下面被获得。
关键词 不变量理论 BOSE-EINSTEIN冷凝物 激光 几何相位
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Bit-Level Composite Signal Design for Simultaneous Ranging and Communication 被引量:1
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作者 Weigang Chen Yalong He +2 位作者 Changcai Han Jinsheng Yang Zhan Xu 《China Communications》 SCIE CSCD 2021年第6期214-227,共14页
As the complexity of space exploration missions augments,how to enhance the overall performance of communication,ranging or other functions has become a challengeable problem.Considering the integration of communicati... As the complexity of space exploration missions augments,how to enhance the overall performance of communication,ranging or other functions has become a challengeable problem.Considering the integration of communication and ranging,we present a bit-level composite signal for simultaneous ranging and communication.In this composite method,through a specially designed mapping scheme using low-weight codewords,the information sequence is converted to a sparse sequence which is then superimposed on the ranging code.For ranging,the correlation characteristics of the ranging code component can be maintained to calculate the transmitter-receiver distance.For communications,the sparse sequence can be extracted without interference by eliminating the ranging code component.Simulation results show that the proposed composite signal can support communication and ranging simultaneously with limited sacrifice of ranging performance,and the performance loss of ranging can be controlled and minimized by lowering the density of information sequences using different sparsification encoding methods. 展开更多
关键词 composite signal spectrum sharing lowweight codeword regenerative PN ranging code
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Teaching Reform and Practice in Engineering Drawing Based on 3D Modeling with Computer 被引量:4
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作者 WANG Jian-hua HAO Yu-xin 《Computer Aided Drafting,Design and Manufacturing》 2011年第1期46-51,共6页
Based on the necessity of three dimensional modeling with computer in teaching reform,this paper is the summarization of reform practice of teaching engineering drawing in our institute.The teaching reform begins with... Based on the necessity of three dimensional modeling with computer in teaching reform,this paper is the summarization of reform practice of teaching engineering drawing in our institute.The teaching reform begins with three dimensional modeling that used computer instead of board.On the basis of target of teaching reform,set of teaching content,arrangement of class hour and teaching method,the research of teaching practice have been done,and very good effects in teaching of engineering drawing have been achieved. 展开更多
关键词 engineering graphics three dimensional modeling engineering drawing teaching reform and practice
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A Study of the Equipment Fault Diagnosing Method Based on EMD and Holo-spectrum 被引量:2
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作者 LIU Ran XU Bao-jie 《International Journal of Plant Engineering and Management》 2011年第1期28-34,共7页
We first introduce the empirical mode decomposition(EMD)and holo-spectrum analysis.Then we decompose the vibration signal of the equipment by EMD,re-organize the signal closely associated with the original signal,elim... We first introduce the empirical mode decomposition(EMD)and holo-spectrum analysis.Then we decompose the vibration signal of the equipment by EMD,re-organize the signal closely associated with the original signal,eliminate the noise signal better,and analyze the holographic re-signal spectrum,which makes the amplitude,frequency and phase combine completely,reflecting the equipment vibration morphology fully.Particularly applying a two-dimensional holo-spectrum can obtain the direction of rotation order harmonic,size,shape,and the relationship between order harmonic generation rotor vibrations,and so on.The traditional signal processing methods can not eliminate noise well.We apply this method to the rotor vibration signal of fault diagnosis,eliminate noise and reflect the equipment vibration characteristics well. 展开更多
关键词 全息谱 EMD 故障诊断方法 设备 经验模式分解 振动信号 信号处理方法 振动故障诊断
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Modeling of trap-assisted tunneling on performance of charge trapping memory with consideration of trap position and energy level
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作者 伦志远 李云 +3 位作者 赵凯 杜刚 刘晓彦 王漪 《Chinese Physics B》 SCIE EI CAS CSCD 2016年第8期447-451,共5页
In this work, the trap-assisted tunneling(TAT) mechanism is modeled as a two-step physical process for charge trapping memory(CTM). The influence of the TAT mechanism on CTM performance is investigated in consideratio... In this work, the trap-assisted tunneling(TAT) mechanism is modeled as a two-step physical process for charge trapping memory(CTM). The influence of the TAT mechanism on CTM performance is investigated in consideration of various trap positions and energy levels. For the simulated CTM structure, simulation results indicate that the positions of oxide traps related to the maximum TAT current contribution shift towards the substrate interface and charge storage layer interface during time evolutions in programming and retention operations, respectively. Lower programming voltage and retention operations under higher temperature are found to be more sensitive to tunneling oxide degradation. 展开更多
关键词 氧化层陷阱 相关位置 界面电荷 隧穿 性能 存储器 建模 俘获
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Soliton interactions and asymptotic state analysis in a discrete nonlocal nonlinear self-dual network equation of reverse-space type
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作者 袁翠连 闻小永 《Chinese Physics B》 SCIE EI CAS CSCD 2021年第3期105-118,共14页
We propose a reverse-space nonlocal nonlinear self-dual network equation under special symmetry reduction,which may have potential applications in electric circuits.Nonlocal infinitely many conservation laws are const... We propose a reverse-space nonlocal nonlinear self-dual network equation under special symmetry reduction,which may have potential applications in electric circuits.Nonlocal infinitely many conservation laws are constructed based on its Lax pair.Nonlocal discrete generalized(m,N−m)-fold Darboux transformation is extended and applied to solve this system.As an application of the method,we obtain multi-soliton solutions in zero seed background via the nonlocal discrete N-fold Darboux transformation and rational solutions from nonzero-seed background via the nonlocal discrete generalized(1,N−1)-fold Darboux transformation,respectively.By using the asymptotic and graphic analysis,structures of one-,two-,three-and four-soliton solutions are shown and discussed graphically.We find that single component field in this nonlocal system displays unstable soliton structure whereas the combined potential terms exhibit stable soliton structures.It is shown that the soliton structures are quite different between discrete local and nonlocal systems.Results given in this paper may be helpful for understanding the electrical signals propagation. 展开更多
关键词 reverse-space nonlocal nonlinear self-dual network equation nonlocal discrete generalized(m N−m)-fold Darboux transformation multi-soliton solutions rational solutions
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