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The Similarity Transformation of Regularizing Functionals and Simularity Property of Their Fourier Transformations
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作者 祝同江 《Journal of Beijing Institute of Technology》 EI CAS 1995年第2期105+99-105,共8页
Let and denote respectively the functionswhere λ≥1, The author discusses the similarity transformation of the regularizing functionals of these functions and the similar property of their Fourier transformation.
关键词 Fourier transform generalized functions/similarity transformation regularizing functionals
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The Summary of Regularizing Methods in the Recovery of Pelvis-Originate New Traditional Chinese Medicine on Seeking New Medic
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作者 Su Weizheng(The Traditional ChineseMedicine Hospital of Longsha DistrictQiqihaer City, Heilongjiang Province) 《中国针灸》 CAS CSCD 北大核心 1995年第S2期391-392,共2页
TheSummaryofRegularizingMethodsintheRecoveryofPelvis-OriginateNewTraditionalChineseMedicineonSeekingNewMedic... TheSummaryofRegularizingMethodsintheRecoveryofPelvis-OriginateNewTraditionalChineseMedicineonSeekingNewMedicalSysytemofCombin... 展开更多
关键词 TRADITIONAL REGULAR Origin CHINESE
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A New Regularizing Algorithm for Solving the First Kind of Fredholm Integral Equations 被引量:2
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作者 李功胜 刘岩 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2005年第2期204-210,共7页
Singular value system is applied to construct a new class of improved regularizing methods for solving the first kind of Fredholm integral equations with noisy data. By a priori choosing regularizing parameters, optim... Singular value system is applied to construct a new class of improved regularizing methods for solving the first kind of Fredholm integral equations with noisy data. By a priori choosing regularizing parameters, optimal convergence order of the regularized solution is obtained. And with aids of MATLAB software, numerical results are presented which roughly coincide with the theoretical analysis. 展开更多
关键词 first kind of Predholm integral equation ill-posed problem modified Tikhonov regularization asymptotic order of the regularized solution numerical analysis.
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Load of the Small-Scale Vertical Cylinder in a Wave-Current Field
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作者 Mingjie Li Binbin Zhao Wengyang Duan 《哈尔滨工程大学学报(英文版)》 2026年第1期82-94,共13页
Studies of wave-current interactions are vital for the safe design of structures.Regular waves in the presence of uniform,linear shear,and quadratic shear currents are explored by the High-Level Green-Naghdi model in ... Studies of wave-current interactions are vital for the safe design of structures.Regular waves in the presence of uniform,linear shear,and quadratic shear currents are explored by the High-Level Green-Naghdi model in this paper.The five-point central difference method is used for spatial discretization,and the fourth-order Adams predictor-corrector scheme is employed for marching in time.The domain-decomposition method is applied for the wave-current generation and absorption.The effects of currents on the wave profile and velocity field are examined under two conditions:the same velocity of currents at the still-water level and the constant flow volume of currents.Wave profiles and velocity fields demonstrate substantial differences in three types of currents owing to the diverse vertical distribution of current velocity and vorticity.Then,loads on small-scale vertical cylinders subjected to regular waves and three types of background currents with the same flow volume are investigated.The maximum load intensity and load fluctuation amplitude in uniform,linear shear,and quadratic shear currents increase sequentially.The stretched superposition method overestimates the maximum load intensity and load fluctuation amplitude in opposing currents and underestimates these values in following currents.The stretched superposition method obtains a poor approximation for strong nonlinear waves,particularly in the case of the opposing quadratic shear current. 展开更多
关键词 Wave-current interaction Cylinder load HLGN model Morison equation Regular waves
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Quantitative indices for train running performance and post-seismic traffic capacity assessment of high-speed railway bridges under random site conditions
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作者 Wangbao ZHOU Jieyu XU +4 位作者 Yu HOU Lizhong JIANG Hao LIU Yuhao WU Donghang PENG 《Science China(Technological Sciences)》 2026年第3期348-365,共18页
Under earthquake action, different site conditions have a notable impact on the dynamic response of high-speed railway bridges after earthquakes, which in turn poses a threat to the running stability of trains in the ... Under earthquake action, different site conditions have a notable impact on the dynamic response of high-speed railway bridges after earthquakes, which in turn poses a threat to the running stability of trains in the post-earthquake period. Therefore, establishing a calculation method for the post-earthquake train speed threshold that considers the influence of different site characteristics is of great engineering significance. Taking the CRTS Ⅲ slab track as the research object, this study is based on the track irregularity root mean square rate(TRR), which the authors proposed earlier to quantify the track regularity level. Using the nonlinear least squares fitting method, the mapping relationship between the TRR and the postearthquake train running performance indicators on bridges is established. Furthermore, the influence of laws governing site categories and train speeds on post-earthquake train running performance on bridges is analyzed, and a train speed threshold for bridges based on running performance under random site conditions is proposed. The research results indicate that all train running performance indicators increase significantly with the increase of train operating speed;different site categories have a significant impact on post-earthquake track residual deformation and train running stability. The greater the amplitude of postearthquake track alignment residual deformation, the lower the threshold for the stable running speed of trains after the earthquake, with the speed threshold decreasing by up to 20%. The research outcomes can provide technical references for the post-earthquake safe operation and maintenance of high-speed railway bridges under complex site conditions, as well as the formulation of targeted train speed control schemes. 展开更多
关键词 high-speed railway track regularity quantitative indicators site conditions train running performance
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Research on facies and reservoir seismic description methods of volcanic oil and gas reservoirs in Zhongguai area
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作者 YAN Qi HE Wenjun +6 位作者 BIAN Baoli AN Guoqiang LI Baobao BAI Yu YU Xing PANG Lei AN Zhiyuan 《Global Geology》 2026年第1期24-30,共7页
In recent years,significant breakthroughs have been achieved in the exploration of deep volcanic rocks in the Junggar Basin,highlighting their substantial exploration potential.The complex distribution of volcanic res... In recent years,significant breakthroughs have been achieved in the exploration of deep volcanic rocks in the Junggar Basin,highlighting their substantial exploration potential.The complex distribution of volcanic reservoirs is attributed to the multi-phase tectonic evolution within the basin,with their superior reservoir properties playing a crucial role in natural gas formation.However,due to the combined effects of multi-cyclic volcanic eruptions and tectonic activities,predicting volcanic facies distribution and favorable reservoirs remains highly challenging.This study focuses on the third member of the Jiamuhe Formation in the Zhongguai Uplift.By integrating drilling and petrophysical data with well-seismic analysis techniques,a seismic identification model for volcanic reservoirs has been established.The findings reveal that different facies exhibit distinct seismic response characteristics.Andesite,rhyolite,volcanic breccia,and volcanic clastic rocks show variability in amplitude,frequency,and continuity.Using structural-guided filtering,high-resolution coherence analysis,and 3D body carving techniques,the locations of volcanic craters and eruption centers were successfully identified,further clarifying the distribution patterns of volcanic facies.By combining multi-attribute clustering analysis and seismic attribute extraction,a volcanic facies zone distribution map was generated,and favorable exploration directions for volcanic reservoirs were proposed.The study provides technical guidance for the exploration of deep volcanic oil and gas reservoirs in the Junggar Basin and holds significant application value. 展开更多
关键词 Junggar Basin Favorable reservoir distribution VOLCANICS Timely window regularities of distribution
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FedReg^(*):Addressing Non-Independent and Identically Distributed Challenges in Federated Learning
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作者 SHI Xiujin ZHU Xiaolong XIAO Wentao 《Journal of Donghua University(English Edition)》 2026年第1期41-49,共9页
In non-independent and identically distributed(non-IID)data environments,model performance often degrades significantly.To address this issue,two improvement methods are proposed:FedReg and FedReg^(*).FedReg is a meth... In non-independent and identically distributed(non-IID)data environments,model performance often degrades significantly.To address this issue,two improvement methods are proposed:FedReg and FedReg^(*).FedReg is a method based on hybrid regularization aimed at enhancing federated learning in non-IID scenarios.It introduces hybrid regularization to replace traditional L2 regularization,combining the advantages of L1 and L2 regularization to enable feature selection while preventing overfitting.This method better adapts to the diverse data distributions of different clients,improving the overall model performance.FedReg^(*)combines hybrid regularization with weighted model aggregation.In addition to the benefits of hybrid regularization,FedReg^(*)applies a weighted averaging method in the model aggregation process,calculating weights based on the cosine similarity between each client gradient and the global gradient to more reasonably distribute client contributions.By considering variations in data quality and quantity among clients,FedReg^(*)highlights the importance of key clients and enhances the model’s generalization performance.These improvement methods enhance model accuracy and communication efficiency. 展开更多
关键词 federated learning non-independent and identically distributed(non-IID)data hybrid regularization cosine similarity
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Federated Multi-Label Feature Selection via Dual-Layer Hybrid Breeding Cooperative Particle Swarm Optimization with Manifold and Sparsity Regularization
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作者 Songsong Zhang Huazhong Jin +5 位作者 Zhiwei Ye Jia Yang Jixin Zhang Dongfang Wu Xiao Zheng Dingfeng Song 《Computers, Materials & Continua》 2026年第1期1141-1159,共19页
Multi-label feature selection(MFS)is a crucial dimensionality reduction technique aimed at identifying informative features associated with multiple labels.However,traditional centralized methods face significant chal... Multi-label feature selection(MFS)is a crucial dimensionality reduction technique aimed at identifying informative features associated with multiple labels.However,traditional centralized methods face significant challenges in privacy-sensitive and distributed settings,often neglecting label dependencies and suffering from low computational efficiency.To address these issues,we introduce a novel framework,Fed-MFSDHBCPSO—federated MFS via dual-layer hybrid breeding cooperative particle swarm optimization algorithm with manifold and sparsity regularization(DHBCPSO-MSR).Leveraging the federated learning paradigm,Fed-MFSDHBCPSO allows clients to perform local feature selection(FS)using DHBCPSO-MSR.Locally selected feature subsets are encrypted with differential privacy(DP)and transmitted to a central server,where they are securely aggregated and refined through secure multi-party computation(SMPC)until global convergence is achieved.Within each client,DHBCPSO-MSR employs a dual-layer FS strategy.The inner layer constructs sample and label similarity graphs,generates Laplacian matrices to capture the manifold structure between samples and labels,and applies L2,1-norm regularization to sparsify the feature subset,yielding an optimized feature weight matrix.The outer layer uses a hybrid breeding cooperative particle swarm optimization algorithm to further refine the feature weight matrix and identify the optimal feature subset.The updated weight matrix is then fed back to the inner layer for further optimization.Comprehensive experiments on multiple real-world multi-label datasets demonstrate that Fed-MFSDHBCPSO consistently outperforms both centralized and federated baseline methods across several key evaluation metrics. 展开更多
关键词 Multi-label feature selection federated learning manifold regularization sparse constraints hybrid breeding optimization algorithm particle swarm optimizatio algorithm privacy protection
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Advances in Systemic Therapy for Unresectable Hepatocellular Carcinoma:Commentary on The Impact of the STRIDE Regimen in HIMALAYA Trial
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作者 Leenah Abdulgader Abdullah Esmail 《Oncology Research》 2026年第3期725-733,共9页
Unresectable hepatocellular carcinoma(HCC)remains a global challenge,with limited effective treatment options for advanced-stage disease.The HIMALAYA trial(phase III randomized study that evaluated the STRIDE regimen)... Unresectable hepatocellular carcinoma(HCC)remains a global challenge,with limited effective treatment options for advanced-stage disease.The HIMALAYA trial(phase III randomized study that evaluated the STRIDE regimen)introduced the Single Tremelimumab Regular Interval Durvalumab(STRIDE)regimen,an immunotherapy-based approach that achieved a median overall survival(OS)of 16.43 months compared to 13.77 months with sorafenib.While statistically significant,this~2.7 months OS gain warrants scrutiny in light of STRIDE’s increased immune-related toxicity and cost.This commentary evaluates STRIDE’s impact within the broader landscape of first-line systemic therapy for unresectable HCC,alongside other regimens such as atezolizumab plus bevacizumab and nivolumab plus ipilimumab.We explore STRIDE’s mechanism of action,safety profile,modest progression-free survival(PFS)improvement,and implementation challenges,incorporating insights from 2023-2025 research.In addition,we discussed its limitations in non-viral HCC and Child-Pugh B patients,the role of emerging biomarkers,and the potential of radiation to enhance immunotherapy efficacy.As a dual immune checkpoint inhibitor(ICI)strategy,STRIDE offers an important advance that may not only extend survival but also open the door to future curative approaches.However,optimizing its use will require refined patient selection and further investigation of synergistic combination therapies. 展开更多
关键词 Hepatocellular carcinoma(HCC) single tremelimumab regular interval durvalumab(STRIDE)regimen HIMALAYA trial overall survival systemic therapy
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Regularizing fuel-optimal multi-impulse trajectories 被引量:1
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作者 Kenta Oshima 《Astrodynamics》 EI CSCD 2024年第1期97-119,共23页
The regularization theory has successfully enabled the removal of gravitational singularities associated with celestial bodies.In this study,regularizing techniques are merged into a multi-impulse trajectory design fr... The regularization theory has successfully enabled the removal of gravitational singularities associated with celestial bodies.In this study,regularizing techniques are merged into a multi-impulse trajectory design framework that requires delicate computations,particularly for a fuel minimization problem.Regularized variables based on the Levi–Civita or Kustaanheimo–Stiefel transformations express instantaneous velocity changes in a gradient-based direct optimization method.The formulation removes the adverse singularities associated with the null thrust impulses from the derivatives of an objective function in the fuel minimization problem.The favorite singularity-free property enables the accurate reduction of unnecessary impulses and the generation of necessary impulses for local optimal solutions in an automatic manner.Examples of fuel-optimal multi-impulse trajectories are presented,including novel transfer solutions between a near-rectilinear halo orbit and a distant retrograde orbit. 展开更多
关键词 REGULARIZATION trajectory optimization fuel minimization multi-impulse trajectory
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On regularizing-rate estimates for solutions to the heat flow with initial value problem
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作者 WANG Meng LIU XiaoFeng 《Science China Mathematics》 SCIE 2013年第3期653-664,共12页
For a compact Riemannian manifold NRK without boundary, we establish the existence of strong solutions to the heat flow for harmonic maps from Rn to N, and the regularizing rate estimate of the strong solutions. Moreo... For a compact Riemannian manifold NRK without boundary, we establish the existence of strong solutions to the heat flow for harmonic maps from Rn to N, and the regularizing rate estimate of the strong solutions. Moreover, we obtain the analyticity in spatial variables of the solutions. The uniqueness of the mild solutions in C([0,T]; W1,n) is also considered in this paper. 展开更多
关键词 heat flow REGULARITY GRADIENT mild solution ANALYTICITY
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SOLVING THE BACKWARD HEAT CONDUCTION PROBLEM BY DATA FITTING WITH MULTIPLE REGULARIZING PARAMETERS
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作者 Qun Chen Jijun Liu 《Journal of Computational Mathematics》 SCIE CSCD 2012年第4期418-432,共15页
We propose a new reconstruction scheme for the backward heat conduction problem. By using the eigenfunction expansions, this ill-posed problem is solved by an optimization problem, which is essentially a regularizing ... We propose a new reconstruction scheme for the backward heat conduction problem. By using the eigenfunction expansions, this ill-posed problem is solved by an optimization problem, which is essentially a regularizing scheme for the noisy input data with both the number of truncation terms and the approximation accuracy for the final data as multiple regularizing parameters. The convergence rate analysis depending on the strategy of choosing regularizing parameters as well as the computational accuracy of eigenfunctions is given. Numerical implementations are presented to show the validity of this new scheme. 展开更多
关键词 Inverse problem Data fitting REGULARIZATION Convergence rate Numerics.
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The Number of Boundary H-points of Convex H-quadrilateral
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作者 WEI Xianglin ZHU Weili 《数学进展》 北大核心 2025年第1期177-186,共10页
An H-polygon is a polygon with corners in the set of vertices of a tiling of R~2 by regular hexagons of unit edge.It is known that any H-triangle with exactly k interior H-points can have at most 3k+7 boundary H-point... An H-polygon is a polygon with corners in the set of vertices of a tiling of R~2 by regular hexagons of unit edge.It is known that any H-triangle with exactly k interior H-points can have at most 3k+7 boundary H-points.In this note we prove that any convex H-quadrilateral with exactly k interior H-points can have at most 3k+7 boundary H-points. 展开更多
关键词 discrete geometry regular hexagonal tiling H-quadrilateral H-point
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Bottom Pressure Field Induced by Submerged Vehicle in Regular Waves
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作者 YI Wen−bin ZHANG Zhi−hong +4 位作者 DENG Hui MENG Qing−chang XIA Wei−xue WANG Chong LI Pei−hao 《船舶力学》 北大核心 2025年第6期863-877,共15页
The finite volume method was applied to numerically simulate the bottom pressure field induced by regular waves,vehicles in calm water and vehicles in regular waves.The solution of Navier-Stokes(N-S)equations in the v... The finite volume method was applied to numerically simulate the bottom pressure field induced by regular waves,vehicles in calm water and vehicles in regular waves.The solution of Navier-Stokes(N-S)equations in the vicinity of numerical wave tank's boundary was forced towards the wave theoretical solution by incorporating momentum source terms,thereby reducing adverse effects such as wave reflection.Simulations utilizing laminar flow,turbulent flow,and ideal fluid models were all found capable of effectively capturing the waveform and bottom pressure of regular waves,agreeing well with experimental data.In predicting the bottom pressure field of the submerged vehicle,turbulent simulations considering fluid viscosity and boundary layer development provided more accurate predictions for the stern region than inviscid simulations.Due to sphere's diffractive effect,the sphere's bottom pressure field in waves is not a linear superposition of the wave's and the sphere's bottom pressure field.However,a slender submerged vehicle exhibits a weaker diffractive effect on waves,thus the submerged vehicle's bottom pressure field in waves can be approximated as a linear superposition of the wave's and the submerged vehicle's bottom pressure field,which simplifies computation and analysis. 展开更多
关键词 regular wave submerged vehicle bottom pressure field numerical simulation
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Solutions to SU(n+1)Toda systems with cone singularities via toric curves on compact Riemann surfaces
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作者 Jingyu Mu Yiqian Shi and Bin Xu 《中国科学技术大学学报》 北大核心 2025年第5期2-13,1,I0001,共14页
On a compact Riemann surface with finite punctures P_(1),…P_(k),we define toric curves as multivalued,totallyunramified holomorphic maps to P^(n)with monodromy in a maximal torus of PSU(n+1).Toric solutions to SU(n+1... On a compact Riemann surface with finite punctures P_(1),…P_(k),we define toric curves as multivalued,totallyunramified holomorphic maps to P^(n)with monodromy in a maximal torus of PSU(n+1).Toric solutions to SU(n+1)Todasystems on X\{P_(1);…;P_(k)}are recognized by the associated toric curves in.We introduce character n-ensembles as-tuples of meromorphic one-forms with simple poles and purely imaginary periods,generating toric curves on minus finitelymany points.On X,we establish a correspondence between character-ensembles and toric solutions to the SU(n+1)system with finitely many cone singularities.Our approach not only broadens seminal solutions with two conesingularities on the Riemann sphere,as classified by Jost-Wang(Int.Math.Res.Not.,2002,(6):277-290)andLin-Wei-Ye(Invent.Math.,2012,190(1):169-207),but also advances beyond the limits of Lin-Yang-Zhong’s existencetheorems(J.Differential Geom.,2020,114(2):337-391)by introducing a new solution class. 展开更多
关键词 SU(n+1)Toda system regular singularity unitary curve toric solution character ensemble
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Overexpression pattern,function,and clinical value of proteasome 26S subunit non-ATPase 6 in hepatocellular carcinoma
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作者 Sheng-Sheng Zhou Yu-Ping Ye +10 位作者 Yi Chen Da-Tong Zeng Guang-Cai Zheng Rong-Quan He Bang-Teng Chi Lei Wang Qian Lin Qin-Yan Su Yi-Wu Dang Gang Chen Jia-Liang Wei 《World Journal of Clinical Oncology》 2025年第2期76-93,共18页
BACKGROUND In recent years,many studies have shown that proteasome 26S subunit non-ATPase 6(PSMD6)plays an important role in the occurrence and development of malignant tumours.Unfortunately,there are no reports on th... BACKGROUND In recent years,many studies have shown that proteasome 26S subunit non-ATPase 6(PSMD6)plays an important role in the occurrence and development of malignant tumours.Unfortunately,there are no reports on the evaluation of the potential role of PSMD6 in hepatocellular carcinoma(HCC).AIM To comprehensively evaluate the overexpression pattern and clinical significance of PSMD6 in HCC tissues.METHODS This study integrated PSMD6 mRNA expression profiles from 4672 HCC and 3667 non-HCC tissues,along with immunohistochemical scores from 383 HCC and adjacent tissues,to assess PSMD6 overexpression in HCC.Clustered regularly interspaced short palindromic repeats knockout technology evaluated PSMD6’s essential role in HCC cell growth.Functional enrichment analysis explored the molecular mechanism of PSMD6 abnormalities in HCC.Drug sensitivity analysis and molecular docking analysed the effect of abnormal expression of PSMD6 on the drug sensitivity of HCC cells.RESULTS The results of 41 external and two internal datasets showed that PSMD6 mRNA(SMD=0.26,95%CI:0.09-0.42,P<0.05)and protein(SMD=2.85,95%CI:1.19-4.50,P<0.05)were significantly overexpressed in HCC tissues.The integrated analysis results showed that PSMD6 had a significant overexpression pattern in HCC tissues(SMD=0.40,95%CI:0.15-0.66,P<0.05).PSMD6 knockout inhibited HCC cell growth(chronos scores<-1).Functional enrichment implicated ribosome biogenesis and RNA splicing.Significant enrichment of signalling pathways such as RNA degradation,ribosomes,and chemical carcinogenesis—reactive oxygen species.Drug sensitivity analysis and a molecular docking model showed that high expression of PSMD6 was associated with the tolerance of HCC cells to drugs such as ML323,sepantronium bromide,and GDC0810.Overexpressed PSMD6 effectively distinguished HCC tissues(AUC=0.75,95%CI:0.71-0.79).CONCLUSION This study was the first to discover that PSMD6 was overexpressed in HCC tissues.PSMD6 is essential for the growth of HCC cells and may be involved in ribosome biogenesis and RNA splicing. 展开更多
关键词 Hepatocellular carcinoma Proteasome 26S subunit non-ATPase 6 Clustered regularly interspaced short palindromic repeats Ribosome biogenesis RNA splicing
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Effects of Habitat Diversity on the Population Distribution of Solenopsis invicta and Efficacy of Chemical Control
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作者 Hongdan HUANG Yingning WEN +4 位作者 Wenjing ZHAI Yiyan ZHU Zhihui CHEN Jianyou ZHANG Feng ZHANG 《Plant Diseases and Pests》 2025年第2期29-33,共5页
The prevalence of Solenopsis invicta is associated with habitat diversity,with a preference for various habitats ranked in the following order:ponds,wastelands,green belts,roads,parks,farmlands,and villages.Consequent... The prevalence of Solenopsis invicta is associated with habitat diversity,with a preference for various habitats ranked in the following order:ponds,wastelands,green belts,roads,parks,farmlands,and villages.Consequently,management strategies should be tailored to each habitat.There are two occurrence peaks of S.invicta throughout the year,specifically from March to April and from September to October.It is essential to emphasize prevention and control measures during the active periods of S.invicta.To enhance the effectiveness of these measures,supplementary control should be implemented within 10-15 d following the initial prevention and control efforts.Furthermore,the efficacy of prevention and control is notably higher on the second to third day immediately following rainfall.This study aimed to evaluate the efficacy of various agents in controlling S.invicta.A comparative analysis was conducted on the efficacy of three different brands of agents against S.invicta.The findings indicated that a concentration of 0.08%-0.10%indoxacarb exhibited a comparable extermination effect on S.invicta worker ants.However,agents with larger particle sizes demonstrated a reduced efficacy in exterminating S.invicta nests. 展开更多
关键词 SOLENOPSIS invicta HABITAT Monitoring OCCURRENCE REGULARITY PREVENTION and control
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Regular control surfaces of a toric patch and integer programming
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作者 WANG Han ZHU Chun-gang 《Applied Mathematics(A Journal of Chinese Universities)》 2025年第4期853-867,共15页
Toric patch is a kind of rational multisided patch,which is associated with a finite integer lattice points set A.A set of weights is defined which depend on a parameter according to regular decomposition of A.When al... Toric patch is a kind of rational multisided patch,which is associated with a finite integer lattice points set A.A set of weights is defined which depend on a parameter according to regular decomposition of A.When all weights of the patch tend to infinity,we obtain the limiting form of toric patch which is called its regular control surface.The diferent weights may induce the diferent regular control surfaces of the same toric patch.It prompts us to consider that how many regular control surfaces of a toric patch.In this paper,we study the regular decompositions of A by using integer programming method firstly,and then provide the relationship between all regular decompositions of A and corresponding state polytope.Moreover,we present that the number of regular control surfaces of a toric patch associated with A is equal to the number of regular decompositions of A.An algorithm to calculate the number of regular control surfaces of toric patch is provided.The algorithm also presents a method to construct all of the regular control surfaces of a toric patch.At last,the application of proposed result in shape deformation is demonstrated by several examples. 展开更多
关键词 toric patch regular control surfaces integer programming regular decompositions state poly-tope
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Absorption compensation via structure tensor regularization multichannel inversion
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作者 Liang Bing Zhao Dong-feng +4 位作者 Xia Lian-jun Tang Guo-song Luo Zhen Guan Wen-hua Wang Xue-jing 《Applied Geophysics》 2025年第3期635-646,892,893,共14页
Absorption compensation is a process involving the exponential amplification of reflection amplitudes.This process amplifies the seismic signal and noise,thereby substantially reducing the signal-tonoise ratio of seis... Absorption compensation is a process involving the exponential amplification of reflection amplitudes.This process amplifies the seismic signal and noise,thereby substantially reducing the signal-tonoise ratio of seismic data.Therefore,this paper proposes a multichannel inversion absorption compensation method based on structure tensor regularization.First,the structure tensor is utilized to extract the spatial inclination of seismic signals,and the spatial prediction filter is designed along the inclination direction.The spatial prediction filter is then introduced into the regularization condition of multichannel inversion absorption compensation,and the absorption compensation is realized under the framework of multichannel inversion theory.The spatial predictability of seismic signals is also introduced into the objective function of absorption compensation inversion.Thus,the inversion system can effectively suppress the noise amplification effect during absorption compensation and improve the recovery accuracy of high-frequency signals.Synthetic and field data tests are conducted to demonstrate the accuracy and effectiveness of the proposed method. 展开更多
关键词 Absorption compensation Structure tensor RESOLUTION Signal-to-noise ratio REGULARIZATION
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Gamma-ray spectral energy resolution calibration based on locally constrained regularization for scintillation detector response:methodology,numerical,and experimental analysis
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作者 Guo-Feng Yang Wen-Zheng Peng +3 位作者 Dong-Ming Liu Xiao-Long Wu Meng Chen Xiang-Jun Liu 《Nuclear Science and Techniques》 2025年第4期92-104,共13页
Energy resolution calibration is crucial for gamma-ray spectral analysis,as measured using a scintillation detector.A locally constrained regularization method was proposed to determine the resolution calibration para... Energy resolution calibration is crucial for gamma-ray spectral analysis,as measured using a scintillation detector.A locally constrained regularization method was proposed to determine the resolution calibration parameters.First,a Monte Carlo simulation model consistent with an actual measurement system was constructed to obtain the energy deposition distribution in the scintillation crystal.Subsequently,the regularization objective function is established based on weighted least squares and additional constraints.Additional constraints were designed using a special weighting scheme based on the incident gamma-ray energies.Subsequently,an intelligent algorithm was introduced to search for the optimal resolution calibration parameters by minimizing the objective function.The most appropriate regularization parameter was determined through mathematical experiments.When the regularization parameter was 30,the calibrated results exhibited the minimum RMSE.Simulations and test pit experiments were conducted to verify the performance of the proposed method.The simulation results demonstrate that the proposed algorithm can determine resolution calibration parameters more accurately than the traditional weighted least squares,and the test pit experimental results show that the R-squares between the calibrated and measured spectra are larger than 0.99.The accurate resolution calibration parameters determined by the proposed method lay the foundation for gamma-ray spectral processing and simulation benchmarking. 展开更多
关键词 Energy resolution REGULARIZATION Gaussian broadening Spectral analysis Scintillation detector
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