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High signal-to-noise ratio sensing with Shack–Hartmann wavefront sensor based on auto gain control of electron multiplying CCD 被引量:1
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作者 朱召义 李大禹 +4 位作者 胡立发 穆全全 杨程亮 曹召良 宣丽 《Chinese Physics B》 SCIE EI CAS CSCD 2016年第9期63-68,共6页
High signal-to-noise ratio can be achieved with the electron multiplying charge-coupled-device(EMCCD) applied in the Shack–Hartmann wavefront sensor(S–H WFS) in adaptive optics(AO).However,when the brightness ... High signal-to-noise ratio can be achieved with the electron multiplying charge-coupled-device(EMCCD) applied in the Shack–Hartmann wavefront sensor(S–H WFS) in adaptive optics(AO).However,when the brightness of the target changes in a large scale,the fixed electron multiplying(EM) gain will not be suited to the sensing limitation.Therefore an auto-gain-control method based on the brightness of light-spots array in S–H WFS is proposed in this paper.The control value is the average of the maximum signals of every light spot in an array,which has been demonstrated to be kept stable even under the influence of some noise and turbulence,and sensitive enough to the change of target brightness.A goal value is needed in the control process and it is predetermined based on the characters of EMCCD.Simulations and experiments have demonstrated that this auto-gain-control method is valid and robust,the sensing SNR reaches the maximum for the corresponding signal level,and especially is greatly improved for those dim targets from 6 to 4 magnitude in the visual band. 展开更多
关键词 adaptive optics Shack–Hartmann wavefront sensor electron multiplying charge-coupled-device(EMCCD) auto-gain-control method
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A Static Phase Offset Reduction Technique for Multiplying Delay-Locked Loop
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作者 Xinjie Wang Tadeusz Kwasniewski 《Circuits and Systems》 2015年第1期13-19,共7页
Static phase offset (SPO) in conventional multiplying delay-locked loops (MDLLs) dramatically degrades the deterministic jitter performance. To overcome the issue, this paper presents a new SPO reduction technique for... Static phase offset (SPO) in conventional multiplying delay-locked loops (MDLLs) dramatically degrades the deterministic jitter performance. To overcome the issue, this paper presents a new SPO reduction technique for MDLLs. The technique is based on the observation that the SPO of MDLL is mainly caused by the non-idealities on charge pump (e.g. sink and source current mismatch), and control line (e.g. gate leakage of loop filter and voltage controlled delay line (VCDL) control circuit). With a high gain stage inserting between phase detector/phase frequency detector (PD/PFD) and charge pump, the equivalent SPO has been decreased by a factor equal to the gain of the gain stage. The effectiveness of the proposed technique is validated by a Simulink model of MDLL. The equivalent SPO is measured by the power level of reference spur. 展开更多
关键词 STATIC Phase OFFSET multiplying Delay-Locked Loop DETERMINISTIC JITTER Reference SPUR PLL
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A Bilinear Sparse Domination for the Maximal Calder´on Commutator with Rough Kernel
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作者 WANG Meizhong ZHAO Junyan 《数学进展》 北大核心 2025年第5期1059-1074,共16页
LetΩbe homogeneous of degree zero,integrable on S^(d−1) and have vanishing moment of order one,a be a function on R^(d) such that ∇a∈L^(∞)(R^(d)).Let T*_(Ω,a) be the maximaloperator associated with the d-dimensional... LetΩbe homogeneous of degree zero,integrable on S^(d−1) and have vanishing moment of order one,a be a function on R^(d) such that ∇a∈L^(∞)(R^(d)).Let T*_(Ω,a) be the maximaloperator associated with the d-dimensional Calder´on commutator defined by T*_(Ωa)f(x):=sup_(ε>0)|∫_(|x-y|>ε)^Ω(x-y)/|x-y|^(d+1)(a(x)-a(y))f(y)dy.In this paper,the authors establish bilinear sparse domination for T*_(Ω,a) under the assumption Ω∈L∞(Sd−1).As applications,some quantitative weighted bounds for T*_(Ω,a) are obtained. 展开更多
关键词 Calderon commutator Fourier transform multiplier operator approximation bilinear sparse domination rough kernel
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Theoretical analysis of alloy multiplying factor by the empirical electron theory of solids and molecules
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作者 SONG YuePeng1,2, LIU GuoQuan2, LI ZhiLin3, FENG ChengMing1 1 Mechanical and Electronic Engineering College, Shandong Agricultural University, Tai’an 271018, China 2 College of Materials Science and Engineering, University of Science and Technology, Beijing 100083, China 3 College of Material Science and Engineering, Beijing University of Chemical Technology, Beijing 100029, China 《Science China(Technological Sciences)》 SCIE EI CAS 2007年第6期807-814,共8页
By introducing the distribution probability of structural units in austenite contain- ing alloying elements and considering its effects on phase transformation, this paper establishes a calculation model of distributi... By introducing the distribution probability of structural units in austenite contain- ing alloying elements and considering its effects on phase transformation, this paper establishes a calculation model of distribution probability of structural units. A new valence electron structure (VES) parameter-transformation effect coefficient of alloying elements (HL), is defined and then studied both theoretically and ex- perimentally. The relationship between the parameter HL and the multiplying factor (the quenching capability factor) of alloying elements is studied. The results indi- cate that the two parameters (HL and the quenching capability factor) have the same variation characteristic and substance feature. Therefore, the multiplying factor virtually expresses the relative quantity of structural units in the alloying elements-containing austenite. 展开更多
关键词 multiplying FACTOR (the QUENCHING capability factor) empirical electron theory of solids and molecules transformation effect coefficient of ALLOYING elements structural units in AUSTENITE containing ALLOYING ELEMENTS
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HSP70 is the Most Significantly Upregulated Molecule Upon Bortezomib Stimulation:A Study Based on the Multiple Myeloma Database
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作者 Lingjuan Huang Ruihua Li Jinqian Dai 《Proceedings of Anticancer Research》 2025年第3期40-46,共7页
Objective:This study aimed to investigate the changes in gene expression profiles of multiple myeloma(MM)cells after bortezomib treatment by analyzing the GEO database,thereby providing a theoretical foundation for su... Objective:This study aimed to investigate the changes in gene expression profiles of multiple myeloma(MM)cells after bortezomib treatment by analyzing the GEO database,thereby providing a theoretical foundation for subsequent research on HSP70.Methods:The GSE41929 dataset was selected from the GEO database.Screening and analysis were performed to identify differentially expressed genes between bortezomib-treated and non-treated MM cells.Results:After bortezomib treatment,126 genes in MM cells showed the most significant changes in expression(P<0.05,absolute value of logFC≥1.5).Based on the fold change and the most significant gene module,HSPA1B exhibited the most notable upregulation after HMOX1,followed by HSPA6 and DNAJB1.HSPA1B and HSPA6 are members of the HSP70 protein family,while DNAJB1 primarily interacts with HSP70 to stimulate its ATPase activity and negatively regulates the transcriptional activity of HSF1 induced by heat shock.Conclusion:HSP70 was the most significantly upregulated molecule in MM cells following bortezomib stimulation. 展开更多
关键词 BORTEZOMIB Multiply myeloma HSP70 GEO database
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Development of a ceramic gas-electron-multiplier neutron detector prototype with a large sensitive area
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作者 Lin Zhu Jianrong Zhou +13 位作者 Xiaojuan Zhou Lixin Zeng Liang Xiao Hong Xu Fei Jia Chaoyue Zhang Yezhao Yang Dingfu Li Hao Xiong Yuguang Xie Yubin Zhao Yadong Wei Zhijia Sun Yuanbo Chen 《Chinese Physics B》 2025年第9期135-141,共7页
The rapid growth of neutron flux has driven the development of^(3)He-free neutron detectors to satisfy the requirements of the neutron scattering instruments under construction or planned at the China Spallation Neutr... The rapid growth of neutron flux has driven the development of^(3)He-free neutron detectors to satisfy the requirements of the neutron scattering instruments under construction or planned at the China Spallation Neutron Source(CSNS).Position-sensitive neutron detectors with a high counting rate and large area play an important role in the instruments performing neutron measurements in or close to the direct beam.The ceramic gas-electron-multiplier(GEM)detector serves as a promising solution,and considerable work has been done using the small-area GEM neutron detectors.In this article,we designed and constructed a detector prototype utilizing ceramic GEM foils with an effective area of about307 mm×307 mm.To evaluate and investigate their basic characteristics,the Monte Carlo(MC)tool FLUKA was employed and several neutron beam tests were conducted at CSNS.The simulated spatial resolution was basically in agreement with the measured value of 2.50±0.01 mm(FWHM).The wavelength spectra measurement was verified through comparisons with a commercial beam monitor.In addition,a detection efficiency of 4.7±0.1%was achieved for monoenergetic neutrons of 1.59 A wavelength.This is consistent with the simulated result.The results indicate that the large-area ceramic GEM detector is a good candidate to implement neutron beam measurements.Its efficiency can be improved in a cascading manner to approach that reached by traditional^(3)He detectors. 展开更多
关键词 neutron detector counting rate gas electron multiplier spatial resolution detection efficiency
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CERTAIN OSCILLATING OPERATORS ON HERZ-TYPE HARDY SPACES
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作者 Ziyao LIU Dashan FAN 《Acta Mathematica Scientia》 2025年第2期310-326,共17页
Let 0<p≤1<q<∞,andω1,ω2 E A1(Muckenhoupt-class).We study an oscillating multiplier operator Tγ,βand obtain that it is boundedon the homogeneous weighted Herz-type Hardy spaces HK_(q)^(α,p)(R^(n);ω1,ω2... Let 0<p≤1<q<∞,andω1,ω2 E A1(Muckenhoupt-class).We study an oscillating multiplier operator Tγ,βand obtain that it is boundedon the homogeneous weighted Herz-type Hardy spaces HK_(q)^(α,p)(R^(n);ω1,ω2)whenγ=nβ/2,α=n(1-1/q).Also,for the unweighted case,we obtain the Hk_(q)^(α,p)(R^(n))boundedness of Tγ,βunder certain conditions on y.These results are substantial improvements and extensions of the main results in the papers by Li and Lu and by Cao and Sun.As an application,we prove the HK_(q)^(α,p)(R^(n))boundedness of the spherical average S_(t)^(δ)uniformly on t>0. 展开更多
关键词 Herz-type Hardy space atomic decomposition oscillating multiplier operator spherical average
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A refined nonlinear theoretical model for mechanical analysis of tunnels subjected to strike-slip faulting with multiple fault planes
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作者 Henghong Yang Mingnian Wang +1 位作者 Li Yu Xiao Zhang 《Journal of Rock Mechanics and Geotechnical Engineering》 2025年第8期5018-5037,共20页
During strike-slip fault dislocation,multiple fault planes are commonly observed.The resulting permanent ground deformation can lead to profound structural damage to tunnels.However,existing analytical models do not c... During strike-slip fault dislocation,multiple fault planes are commonly observed.The resulting permanent ground deformation can lead to profound structural damage to tunnels.However,existing analytical models do not consider multiple fault planes.Instead,they concentrate the entire fault displacement onto a single fault plane for analysis,thereby giving rise to notable errors in the calculated results.To address this issue,a refined nonlinear theoretical model was established to analyze the mechanical responses of the tunnels subjected to multiple strike-slip fault dislocations.The analytical model considers the number of fault planes,nonlinear soil‒tunnel interactions,geometric nonlinearity,and fault zone width,leading to a significant improvement in its range of applicability and calculation accuracy.The results of the analytical model are in agreement,both qualitatively and quantitatively,with the model test and numerical results.Then,based on the proposed theoretical model,a sensitivity analysis of parameters was conducted,focusing on the variables such as the number of fault planes,fault plane distance(d),fault displacement ratio(η),burial depth(C),crossing angle(β),tunnel diameter(D),fault zone width(Wf),and strike-slip fault displacement(Δfs).The results show that the peak shear force(Vmax),bending moment(Mmax),and axial force(Nmax)decrease with increasing d.The Vmax of the tunnel is found at the fault plane with the largest fault displacement.C,D,andΔfs contribute to the increases in Vmax,Mmax,and Nmax.Additionally,increasing the number of fault planes reduces Vmax and Mmax,whereas the variation in Nmax remains minimal. 展开更多
关键词 Strike-slip fault Tunnel engineering Theoretical model Multiply fault plane Nonlinear soil‒tunnel interaction Finite element method
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Enhanced robustness in constant modulus blind beamforming through L1-regularized state estimation with variable-splitting Kalman smoother and IEKS
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作者 Chuanhui HAO Bin ZHANG Xubao SUN 《Chinese Journal of Aeronautics》 2025年第6期573-590,共18页
This paper aims to enhance the array Beamforming(BF) robustness by tackling issues related to BF weight state estimation encountered in Constant Modulus Blind Beamforming(CMBB). To achieve this, we introduce a novel a... This paper aims to enhance the array Beamforming(BF) robustness by tackling issues related to BF weight state estimation encountered in Constant Modulus Blind Beamforming(CMBB). To achieve this, we introduce a novel approach that incorporates an L1-regularizer term in BF weight state estimation. We start by explaining the CMBB formation mechanism under conditions where there is a mismatch in the far-field signal model. Subsequently, we reformulate the BF weight state estimation challenge using a method known as variable-splitting, turning it into a noise minimization problem. This problem combines both linear and nonlinear quadratic terms with an L1-regularizer that promotes the sparsity. The optimization strategy is based on a variable-splitting method, implemented using the Alternating Direction Method of Multipliers(ADMM). Furthermore, a variable-splitting framework is developed to enhance BF weight state estimation, employing a Kalman Smoother(KS) optimization algorithm. The approach integrates the Rauch-TungStriebel smoother to perform posterior-smoothing state estimation by leveraging prior data. We provide proof of convergence for both linear and nonlinear CMBB state estimation technology using the variable-splitting KS and the iterated extended Kalman smoother. Simulations corroborate our theoretical analysis, showing that the proposed method achieves robust stability and effective convergence, even when faced with signal model mismatches. 展开更多
关键词 State estimation Constant modulus blind beamforming Kalman smoother Alternating direction method of multipliers Variable-splitting optimizer
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A Low-Collision and Efficient Grasping Method for Manipulator Based on Safe Reinforcement Learning
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作者 Qinglei Zhang Bai Hu +2 位作者 Jiyun Qin Jianguo Duan Ying Zhou 《Computers, Materials & Continua》 2025年第4期1257-1273,共17页
Grasping is one of the most fundamental operations in modern robotics applications.While deep rein-forcement learning(DRL)has demonstrated strong potential in robotics,there is too much emphasis on maximizing the cumu... Grasping is one of the most fundamental operations in modern robotics applications.While deep rein-forcement learning(DRL)has demonstrated strong potential in robotics,there is too much emphasis on maximizing the cumulative reward in executing tasks,and the potential safety risks are often ignored.In this paper,an optimization method based on safe reinforcement learning(Safe RL)is proposed to address the robotic grasping problem under safety constraints.Specifically,considering the obstacle avoidance constraints of the system,the grasping problem of the manipulator is modeled as a Constrained Markov Decision Process(CMDP).The Lagrange multiplier and a dynamic weighted mechanism are introduced into the Proximal Policy Optimization(PPO)framework,leading to the development of the dynamic weighted Lagrange PPO(DWL-PPO)algorithm.The behavior of violating safety constraints is punished while the policy is optimized in this proposed method.In addition,the orientation control of the end-effector is included in the reward function,and a compound reward function adapted to changes in pose is designed.Ultimately,the efficacy and advantages of the suggested method are proved by extensive training and testing in the Pybullet simulator.The results of grasping experiments reveal that the recommended approach provides superior safety and efficiency compared with other advanced RL methods and achieves a good trade-off between model learning and risk aversion. 展开更多
关键词 Safe reinforcement learning(Safe RL) manipulator grasping obstacle avoidance constraints lagrange multiplier dynamic weighted
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Research on fiber-optic interferometric hydrophone array using frequency division multiplying technique
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作者 CAO Jianian, LI Xuyou, WANG Zhaoxia, LUO Jicheng, FU Lintai (1 Fiber-Optic Technology Institute of Harbin Bngineering University Harbin 150001) (2 Hangzhou Applied Acoustics Institute Zhejiang Fuyang 311400) 《Chinese Journal of Acoustics》 2001年第4期289-297,共9页
From the point of view of system design, a configuration of fiber-optic interferomet- ric hydrophone array and its modulation and demodulation approach using frequncy division multiplexing technique based on Phase Gen... From the point of view of system design, a configuration of fiber-optic interferomet- ric hydrophone array and its modulation and demodulation approach using frequncy division multiplexing technique based on Phase Generated Carrier (PGC) is introduced. And the em- phasis on demonstrating the relationship among the number of units N, the detectable signal amplitude D and the detectable frequency ws through analyzing the frequency spectrum of the output signal of the J × K array and the key factor which restricts N, D, Ws for increasing are presented. The maximum phare shift and the law of its variation according to frequency are specially analyzed. The results induced from some relative theory were verified by experiments. 展开更多
关键词 Research on fiber-optic interferometric hydrophone array using frequency division multiplying technique PGC KHZ
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Fast Parallel Magnetic Resonance Imaging Reconstruction Based on Sparsifying Transform Learning and Structured Low-Rank Model
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作者 DUAN Jizhong XU Yuhan HUANG Huan 《Journal of Shanghai Jiaotong university(Science)》 2025年第3期499-509,共11页
The structured low-rank model for parallel magnetic resonance(MR)imaging can efficiently reconstruct MR images with limited auto-calibration signals.To improve the reconstruction quality of MR images,we integrate the ... The structured low-rank model for parallel magnetic resonance(MR)imaging can efficiently reconstruct MR images with limited auto-calibration signals.To improve the reconstruction quality of MR images,we integrate the joint sparsity and sparsifying transform learning(JTL)into the simultaneous auto-calibrating and k-space estimation(SAKE)structured low-rank model,named JTLSAKE.The alternate direction method of multipliers is exploited to solve the resulting optimization problem,and the optimized gradient method is used to improve the convergence speed.In addition,a graphics processing unit is used to accelerate the proposed algorithm.The experimental results on four in vivo human datasets demonstrate that the reconstruction quality of the proposed algorithm is comparable to that of JTL-based low-rank modeling of local k-space neighborhoods with parallel imaging(JTL-PLORAKS),and the proposed algorithm is 46 times faster than the JTL-PLORAKS,requiring only 4 s to reconstruct a 200×200 pixels MR image with 8 channels. 展开更多
关键词 structured low-rank parallel magnetic resonance imaging sparsifying transform learning alternating direction method of multipliers optimized gradient method
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Wuzi Yanzong Wan Multiplying Pill of Five Seeds 五子衍宗丸
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《Chinese Journal of Integrative Medicine》 SCIE CAS 2001年第1期67-,共1页
关键词 multiplying Pill of Five Seeds
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Improved Sensitivity Encoding Parallel Magnetic Resonance Imaging Reconstruction Algorithm Based on Efficient Sum of Outer Products Dictionary Learning
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作者 DUAN Jizhong SU Yan 《Journal of Shanghai Jiaotong university(Science)》 2025年第3期561-571,共11页
Sensitivity encoding(SENSE)is a parallel magnetic resonance imaging(MRI)reconstruction model by utilizing the sensitivity information of receiver coils to achieve image reconstruction.The existing SENSE-based reconstr... Sensitivity encoding(SENSE)is a parallel magnetic resonance imaging(MRI)reconstruction model by utilizing the sensitivity information of receiver coils to achieve image reconstruction.The existing SENSE-based reconstruction algorithms usually used nonadaptive sparsifying transforms,resulting in a limited reconstruction accuracy.Therefore,we proposed a new model for accurate parallel MRI reconstruction by combining the L0 norm regularization term based on the efficient sum of outer products dictionary learning(SOUPDIL)with the SENSE model,called SOUPDIL-SENSE.The SOUPDIL-SENSE model is mainly solved by utilizing the variable splitting and alternating direction method of multipliers techniques.The experimental results on four human datasets show that the proposed algorithm effectively promotes the image sparsity,eliminates the noise and artifacts of the reconstructed images,and improves the reconstruction accuracy. 展开更多
关键词 parallel magnetic resonance imaging(MRI) sensitivity encoding(SENSE) efficient sum of outer products dictionary learning(SOUPDIL) alternating direction method of multipliers
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A Novel Cascaded TID-FOI Controller Tuned with Walrus Optimization Algorithm for Frequency Regulation of Deregulated Power System
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作者 Geetanjali Dei Deepak Kumar Gupta +3 位作者 Binod Kumar Sahu Amitkumar V.Jha Bhargav Appasani Nicu Bizon 《Energy Engineering》 2025年第8期3399-3431,共33页
This paper presents an innovative and effective control strategy tailored for a deregulated,diversified energy system involving multiple interconnected area.Each area integrates a unique mix of power generation techno... This paper presents an innovative and effective control strategy tailored for a deregulated,diversified energy system involving multiple interconnected area.Each area integrates a unique mix of power generation technologies:Area 1 combines thermal,hydro,and distributed generation;Area 2 utilizes a blend of thermal units,distributed solar technologies(DST),and hydro power;andThird control area hosts geothermal power station alongside thermal power generation unit and hydropower units.The suggested control system employs a multi-layered approach,featuring a blended methodology utilizing the Tilted Integral Derivative controller(TID)and the Fractional-Order Integral method to enhance performance and stability.The parameters of this hybrid TID-FOI controller are finely tuned using an advanced optimization method known as the Walrus Optimization Algorithm(WaOA).Performance analysis reveals that the combined TID-FOI controller significantly outperforms the TID and PID controllers when comparing their dynamic response across various system configurations.The study also incorporates investigation of redox flow batteries within the broader scope of energy storage applications to assess their impact on system performance.In addition,the research explores the controller’s effectiveness under different power exchange scenarios in a deregulated market,accounting for restrictions on generation ramp rates and governor hysteresis effects in dynamic control.To ensure the reliability and resilience of the presented methodology,the system transitions and develops across a broad range of varying parameters and stochastic load fluctuation.To wrap up,the study offers a pioneering control approach-a hybrid TID-FOI controller optimized via the Walrus Optimization Algorithm(WaOA)-designed for enhanced stability and performance in a complex,three-region hybrid energy system functioning within a deregulated framework. 展开更多
关键词 Integral time multiplied by absolute error(ITAE) load frequency control(LFC) particle swarm optimization(PSO) tilted integral derivative controller(TID) independent system operator(ISO) walrus optimization algorithm(WaOA) proportional integral derivative controller(PID)
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Multiplying Integers
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《中学生数学(初中版)》 2019年第11期F0003-F0003,共1页
关键词 multiplying Integers
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An Efficient Smoothing and Thresholding Image Segmentation Framework with Weighted Anisotropic-Isotropic Total Variation 被引量:2
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作者 Kevin Bui Yifei Lou +1 位作者 Fredrick Park Jack Xin 《Communications on Applied Mathematics and Computation》 EI 2024年第2期1369-1405,共37页
In this paper,we design an efficient,multi-stage image segmentation framework that incorporates a weighted difference of anisotropic and isotropic total variation(AITV).The segmentation framework generally consists of... In this paper,we design an efficient,multi-stage image segmentation framework that incorporates a weighted difference of anisotropic and isotropic total variation(AITV).The segmentation framework generally consists of two stages:smoothing and thresholding,thus referred to as smoothing-and-thresholding(SaT).In the first stage,a smoothed image is obtained by an AITV-regularized Mumford-Shah(MS)model,which can be solved efficiently by the alternating direction method of multipliers(ADMMs)with a closed-form solution of a proximal operator of the l_(1)-αl_(2) regularizer.The convergence of the ADMM algorithm is analyzed.In the second stage,we threshold the smoothed image by K-means clustering to obtain the final segmentation result.Numerical experiments demonstrate that the proposed segmentation framework is versatile for both grayscale and color images,effcient in producing high-quality segmentation results within a few seconds,and robust to input images that are corrupted with noise,blur,or both.We compare the AITV method with its original convex TV and nonconvex TVP(O<p<1)counterparts,showcasing the qualitative and quantitative advantages of our proposed method. 展开更多
关键词 Image segmentation Non-convex optimization Mumford-Shah(MS)model Alternating direction method of multipliers(ADMMs) Proximal operator
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Hydrodynamic Investigation of A Multi-Module Floating Platform with A Wave Energy Device Array 被引量:2
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作者 ZHAO Xuan-lie WANG Jia +2 位作者 GENG Jing ZHOU Su-lian C.Guedes Soares 《China Ocean Engineering》 CSCD 2024年第6期1034-1046,共13页
This paper presents a hydrodynamic analysis of a hybrid system consisting of a floating platform coupled with an array of oscillating bodies that move along the weather sidewall of the platform.Using the Lagrange mult... This paper presents a hydrodynamic analysis of a hybrid system consisting of a floating platform coupled with an array of oscillating bodies that move along the weather sidewall of the platform.Using the Lagrange multiplier method,the motion equation governing this type of motion characteristic is formulated,and the formula of the extracted wave power is derived.The numerical results demonstrate a significant increase in the hydrodynamic efficiency of oscillating bodies within specific frequency ranges in the presence of the floating platform.The incorporation of proper power take-off damping of the oscillating bodies results in a reduction in the heave motion of the platform,but it may lead to an increase in pitch motion.The analysis of the response behaviour of the system shows that both the heave motion and pitch motion of the platform contribute to the power extraction and relative motion between the buoys and the platform.Parametric investigations are conducted to explore the hydrodynamic interactions between the floating platform and the buoy array.Additionally,the concept of“hydrodynamic synergy”is proposed to describe the synergetic effect of different components of a multi-purpose platform,which is of considerable engineering interest. 展开更多
关键词 hybrid floating system wave energy device array hydrodynamic interactions multi-body system Lagrange multiplier method
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THE BSE PROPERTY FOR SOME VECTOR-VALUED BANACH FUNCTION ALGEBRAS
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作者 Fatemeh ABTAHI Ali REJALI Farshad SAYAF 《Acta Mathematica Scientia》 SCIE CSCD 2024年第5期1945-1954,共10页
In this paper,X is a locally compact Hausdorff space and A is a Banach algebra.First,we study some basic features of C0(X,A)related to BSE concept,which are gotten from A.In particular,we prove that if C0(X,A)has the ... In this paper,X is a locally compact Hausdorff space and A is a Banach algebra.First,we study some basic features of C0(X,A)related to BSE concept,which are gotten from A.In particular,we prove that if C0(X,A)has the BSE property then A has so.We also establish the converse of this result,whenever X is discrete and A has the BSE-norm property.Furthermore,we prove the same result for the BSE property of type I.Finally,we prove that C0(X,A)has the BSE-norm property if and only if A has so. 展开更多
关键词 BSE algebras BSE-function BSE norm multiplier algebra SEMISIMPLE without order
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Conserved vectors and symmetry solutions of the Landau–Ginzburg–Higgs equation of theoretical physics
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作者 Chaudry Masood Khalique Mduduzi Yolane Thabo Lephoko 《Communications in Theoretical Physics》 SCIE CAS CSCD 2024年第4期51-65,共15页
This paper is devoted to the investigation of the Landau–Ginzburg–Higgs equation(LGHe),which serves as a mathematical model to understand phenomena such as superconductivity and cyclotron waves.The LGHe finds applic... This paper is devoted to the investigation of the Landau–Ginzburg–Higgs equation(LGHe),which serves as a mathematical model to understand phenomena such as superconductivity and cyclotron waves.The LGHe finds applications in various scientific fields,including fluid dynamics,plasma physics,biological systems,and electricity-electronics.The study adopts Lie symmetry analysis as the primary framework for exploration.This analysis involves the identification of Lie point symmetries that are admitted by the differential equation.By leveraging these Lie point symmetries,symmetry reductions are performed,leading to the discovery of group invariant solutions.To obtain explicit solutions,several mathematical methods are applied,including Kudryashov's method,the extended Jacobi elliptic function expansion method,the power series method,and the simplest equation method.These methods yield solutions characterized by exponential,hyperbolic,and elliptic functions.The obtained solutions are visually represented through 3D,2D,and density plots,which effectively illustrate the nature of the solutions.These plots depict various patterns,such as kink-shaped,singular kink-shaped,bell-shaped,and periodic solutions.Finally,the paper employs the multiplier method and the conservation theorem introduced by Ibragimov to derive conserved vectors.These conserved vectors play a crucial role in the study of physical quantities,such as the conservation of energy and momentum,and contribute to the understanding of the underlying physics of the system. 展开更多
关键词 Landau-Ginzburg-Higgs equation Lie symmetry analysis group invariant solutions conserved vectors multiplier method Ibragimov's method
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