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改进的6轮Square算法中间相遇攻击
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作者 何峰 董晓丽 韦永壮 《计算机技术与发展》 2025年第2期63-69,共7页
Square分组密码算法是由Daemen等人设计,并在1997年快速软件加密(FSE)国际会议上首次公布。该密码算法基于SPN(Substitution-Permutation Network)结构,其分组长度和密钥长度均为128比特;具有设计新颖、实现高效等优点,也是高级加密标准... Square分组密码算法是由Daemen等人设计,并在1997年快速软件加密(FSE)国际会议上首次公布。该密码算法基于SPN(Substitution-Permutation Network)结构,其分组长度和密钥长度均为128比特;具有设计新颖、实现高效等优点,也是高级加密标准(AES)算法的前身,在密码学界备受关注。中间相遇攻击作为分组密码算法的重要分析方法之一,如何研究Square算法抵抗中间相遇攻击一直是业内讨论的热点问题。该文基于Square算法的结构特点和截断差分特征,利用差分枚举技术,构造了一个3.5轮中间相遇区分器。通过密钥桥技术及Square算法的密钥编排特点,推演出了主密钥与子密钥之间的部分线性关系。由此,将3.5轮区分器向前扩展1轮,向后扩展1.5轮,实现了对6轮Square算法的中间相遇攻击。该攻击所需数据复杂度为2105个选择明文,时间复杂度为2105次6轮加密,存储复杂度为285个分组。与已有攻击结果相比,新的攻击有效地降低了所需的数据复杂度、时间复杂度和存储复杂度。 展开更多
关键词 分组密码 square算法 中间相遇攻击 差分枚举技术 密钥桥技术
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一种基于Least Square Method算法的城轨车辆车门动作时间精准判断的研究
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作者 李宏菱 宋华杰 +3 位作者 马仲智 周辉 李晴 陈龙 《时代汽车》 2025年第3期190-192,共3页
为研究城市轨道交通车辆客室车门动作时间精准性,门的动作主要依靠直流无刷电机的驱动,所以门动作判断的根本,是对电机运动状态的判读,门运动过程中由于电机码盘线受杂波干扰,系统无法准确寻找计时点从而影响系统判断门运动时间;建立波... 为研究城市轨道交通车辆客室车门动作时间精准性,门的动作主要依靠直流无刷电机的驱动,所以门动作判断的根本,是对电机运动状态的判读,门运动过程中由于电机码盘线受杂波干扰,系统无法准确寻找计时点从而影响系统判断门运动时间;建立波形矫正模型,利用数学方法校准波形,让MCU找出最佳计时点并处理(误差不超过10ms),采用最小二乘法模型,通过最小化误差的平方和找到一组数据的最佳函数匹配,求得未知的数据,并使得这些求得的数据与实际数据之间误差的平方和为最小,可精准地得到门动作时间。模拟测试结果表明,门动作时间测算误差所示其误差为7.42ms,小于10ms。 展开更多
关键词 城轨车辆 客室车门 电机码盘 Least square Method算法 门动作时间精准
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Design Process of a Memorial Square to Thank and Respect for Healthcare Workers after Covid-19 Pandemic
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作者 Ozgur Yerli 《Journal of Environmental & Earth Sciences》 2025年第2期1-12,共12页
Open and green spaces are essential elements of cities.With the COVID epidemic,the importance of the need for open and green spaces in urban areas has become more understood.The aim of this study is to create a new an... Open and green spaces are essential elements of cities.With the COVID epidemic,the importance of the need for open and green spaces in urban areas has become more understood.The aim of this study is to create a new and contemporary square in the working area where the current use and traffic create chaos,to add a new square to the open and green areas in Ankara(Turkey)and to create a connection between this area and the existing open and green areas.At the same time,health workers are honoured through a memorial area integrated into the square.The importance of the location chosen as the study area is that it is surrounded by many public health facilities and is a point of intersection of Ankara’s existing open green space systems.Throughout the three-stage design process,brainstorming sessions were held,drawings and sketches were made,and urban analyses were carried out on transport,culture,art,education,health,open and green spaces.Solutions were proposed for both indoor and outdoor spaces,and the forms were transformed into functional design elements and reflected in the space.As a result,after the pandemic,a city square has been created where people can socialise again,with a monument,a square,water surfaces,an amphitheatre,viewing terraces,a market area,a bridge,sitting and walking areas that are appropriate to the capital. 展开更多
关键词 Design MEMORIAL MONUMENT square Urban
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Unveiling the Symbolism:A Comparative Exploration of Chinese Mandarin Square and British Heraldry
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作者 ZHU Wen-ting ZHANG Hui-qin 《Journal of Literature and Art Studies》 2025年第10期790-798,共9页
The exchange and mutual appreciation of different cultures is an important topic in the context of globalization,and traditional patterns are the crystallization of the national cultures of various countries.The study... The exchange and mutual appreciation of different cultures is an important topic in the context of globalization,and traditional patterns are the crystallization of the national cultures of various countries.The study focuses on the Ming Dynasty Mandarin square in ancient China and the Tudor Dynasty coat of arms during the same period in England.By using comparative research,case studies,and combining historical documents and images,the origins of the two types of decorations are traced,and their social connotations and influencing factors are analyzed.Research has shown that under the influence of the historical backgrounds of politics,economy,and culture,the two types of decorative patterns exhibit a realistic aesthetic trend.The cultural connotations not only demonstrate social narrative functions such as customs and rituals,but also reflect political system functions such as hierarchy and honor.The different historical origins give rise to cultural differences in the selection of decorative elements between the two.The comparative study of the two is not only beneficial for conducting decorative design research from a global perspective,but also can promote the modern inheritance of traditional patterns while seeking common ground and reserving differences. 展开更多
关键词 Ming Dynasty Tudor Dynasty Mandarin square coat of arms connotations comparative research
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Consideration of Aspect Ratios on Flow Around Wall-mounted Square Cylinders
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作者 Ilker Goktepeli 《哈尔滨工程大学学报(英文版)》 2025年第3期492-502,共11页
Flow characteristics around a wall-mounted square cylinder have been numerically simulated at aspect ratios (AR) ranging from 4 to 7 at Re =10 000. Four turbulence models have been compared in terms of drag coefficien... Flow characteristics around a wall-mounted square cylinder have been numerically simulated at aspect ratios (AR) ranging from 4 to 7 at Re =10 000. Four turbulence models have been compared in terms of drag coefficient (C_D). The closest result has been provided by two turbulence models, namely, k-ε Realizable and k ?ω Shear Stress Transport (SST). Hence, these models were utilized to present the flow patterns of pressure distributions, turbulent kinetic energy values, velocity magnitude values with streamlines, streamwise velocity components, crossstream velocity components and spanwise velocity components on different planes. Flow stagnation has been attained in front of the cylinder. Pressure values peaked for the upstream region. Over the cylinders, the tip vortex structure was dominant owing to the influence of the free end. Flow separation from the top front edge of the body has been obtained. The dividing streamline affected by the flow separation was highly effective in the wake region and moved nearer to the body when the aspect ratio was decreased;the reason was the wake shrinkage owing to the decreasing aspect ratio. Upwash and downwash have been seen in the cylinder wake. These two models presented similar flow patterns and drag coefficients. These drag coefficients are in good agreement with those in previous studies. 展开更多
关键词 Aspect ratio Drag coefficient Reynolds number Turbulence model Wall-mounted square cylinder
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Achieved strength-ductility simultaneous enhancement of AZ31 magnesium alloy square tube through a novel tube continuous expanding shear extrusion processing
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作者 Wei Zhang Chaowei Zeng +6 位作者 Hui Zhao Hongjun Hu Dingfei Zhang Rui Hong Ting Yuan Zhenwei Sun Wei Peng 《Journal of Magnesium and Alloys》 2025年第5期2390-2415,共26页
Recently,there have been few reports on the hot extrusion process of magnesium(Mg)alloy square tubes.In this work,we introduce a novel hot extrusion process called tube continuous expanding shear extrusion(t CESE)to p... Recently,there have been few reports on the hot extrusion process of magnesium(Mg)alloy square tubes.In this work,we introduce a novel hot extrusion process called tube continuous expanding shear extrusion(t CESE)to produce Mg alloy square tubes with heterogeneous structures.Compared to previously reported hot-extruded Mg alloy tubes,the tCESE samples exhibit simultaneous enhancements in both strength and ductility.The microstructure evolution during the t CESE process was analyzed in detail.It was found that the microstructure developed consecutively as a result of twinning-induced dynamic recrystallization(TDRX),discontinuous dynamic recrystallization(DDRX)and continuous dynamic recrystallization(CDRX)with different nucleation of new orientations,while static recrystallization(SRX)promoted the formation of heterogeneous structures.The strengthening mechanism in the t CESE samples was revealed by loading-unloading-reloading(LUR)tensile tests,viscoplastic self-consistent(VPSC)simulation and intermittent tensile tests.The improvement of the strength in the tCESE samples is attributed to the size refinement of the grains and the second-phases,and more importantly,to hetero-deformation induced(HDI)strengthening.The improvement of the ductility in the t CESE samples can be attributed to the significant increase in non-basal dislocations within the heterogeneous structures during tensile deformation. 展开更多
关键词 Mg alloy square tube Heterogeneous structures Mechanical properties
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A semi-analytical model and mechanism analysis for force-frequency effect and coefficient of square quartz
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作者 Lixia MA Qiang ZHOU +1 位作者 Lijun YI Ji WANG 《Applied Mathematics and Mechanics(English Edition)》 2025年第6期1089-1106,共18页
This study presents a closed-form solution for central stress,a semi-analytical model,and a modified anisotropic semi-analytical model to efficiently calculate the forcefrequency coefficients(FFCs)of square quartz cry... This study presents a closed-form solution for central stress,a semi-analytical model,and a modified anisotropic semi-analytical model to efficiently calculate the forcefrequency coefficients(FFCs)of square quartz crystal resonators(QCRs)with different side lengths and azimuth angles under eccentrically concentrated and distributed loads.The semi-analytical model is validated by comparisons between the experimental results and the nonlinear finite element method(FEM)simulation results.Based on the semi-analytical model for the FFC and nonlinear FEM simulations,the FFC variations of square QCRs under external loads and the related mechanisms are investigated.Among the initial stresses caused by external loads,the central stress parallel to the xcrystallographic axis is the primary factor influencing the FFC of quartz.Our findings can provide practical tools for calculating the FFC,and help the design and development of square quartz force sensors. 展开更多
关键词 square quartz quartz crystal resonator(QCR) force-frequency effect eccentrically concentrated load distributed load force sensor
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Topological rainbow trapping of sound waves in synthesized three-dimensional space for square lattice
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作者 Jie-Yu Lu Shi-Feng Li +2 位作者 Xin Li Xin-Ye Zou Jian-Chun Cheng 《Chinese Physics B》 2025年第2期309-314,共6页
The three-dimensional(3D)synthetic space offers a platform for exploring the valley Hall insulator,which is usually constructed in graphene lattice.Here,based on the valley transports in the square lattice,we construc... The three-dimensional(3D)synthetic space offers a platform for exploring the valley Hall insulator,which is usually constructed in graphene lattice.Here,based on the valley transports in the square lattice,we construct a synthetic space by treating the rotation angle as the third dimension and observe the emergent Weyl points in this synthetic space.Since the construction of synthetic Weyl points results in the formation of edge states between the phononic crystal(PC)and the hard boundary,and the factors of rotation angle and the distance from the PC to the hard boundary affect the frequency of these edge states,we can construct topological rainbow concentrator based on the above principles.We conduct a comprehensive numerical and experimental study to explore the characteristics of topological rainbow concentrators.This work may play a driving role in the development of topological rainbow devices. 展开更多
关键词 topological rainbow concentrator edge states square lattice
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Cobalt-Nickel Cyano Coordination Polymer-Derived Square CoSe_(2)@NiSe_(2)Nanosheets for Advanced Na^(+)/K^(+)Batteries
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作者 Peng Yang Jian Zhou +1 位作者 Yufei Zhang Haosen Fan 《Acta Metallurgica Sinica(English Letters)》 2025年第8期1340-1350,共11页
Sodium-ion batteries are receiving more and more attention due to their low cost and abundant sodium storage capacity,and are considered to be a promising alternative to lithium-ion batteries.A large number of studies... Sodium-ion batteries are receiving more and more attention due to their low cost and abundant sodium storage capacity,and are considered to be a promising alternative to lithium-ion batteries.A large number of studies have shown that constructing heterostructures are considered an effective strategy to solve the hysteresis problem of electronic and ion dynamics in sodiumion battery anode materials.Herein,a nickel-cobalt bimetallic coordination polymer(NiCoCP)was synthesized using a coprecipitation method,and a CoSe_(2)@NiSe_(2) cross-stacked structure was obtained through high-temperature carbonization and selenization processes.CoSe_(2)@NiSe_(2) has a unique heterostructure and carbon film,which synergistically increases a large number of adsorption sites and alleviates the diffusion energy barrier,thereby improving the rapid diffusion kinetics of Na^(+)ions.It has superior rate performance and long-lasting cycle life.For sodium-ion batteries(SIBs),the specific capacity of CoSe_(2)@NiSe_(2) is around 460 mA h g^(-1) after 400 cycles at 1.0 A g^(-1).For potassium-ion batteries(PIBs),CoSe_(2)@NiSe_(2) also exhibits excellent cycling stability,maintaining a specific capacity of 160 mA h g^(-1) after 700 cycles at 1.0 A g^(-1).This study provides a new way to prepare metal selenide heterostructure as the promising anode material for SIBs. 展开更多
关键词 CoSe_(2)/NiSe_(2)heterostructure Rate capability Ultralong lifespan square nanosheets Na^(+)/K^(+)batteries
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Vortex Solitons in Atomic-Molecular Bose-Einstein Condensates with a Square-Optical-Lattice Potential
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作者 Yuan Zhao Wan Liu +5 位作者 Linjia Wang Zhuo Fan Qin Zhou Boris A.Malomed Shunfang Chen Siliu Xu 《Chinese Physics Letters》 2025年第9期7-13,共7页
We propose a theoretical framework,based on the two-component Gross-Pitaevskii equation(GPE),for the investigation of vortex solitons(VSs)in hybrid atomic-molecular Bose-Einstein condensates under the action of the st... We propose a theoretical framework,based on the two-component Gross-Pitaevskii equation(GPE),for the investigation of vortex solitons(VSs)in hybrid atomic-molecular Bose-Einstein condensates under the action of the stimulated Raman-induced photoassociation and square-optical-lattice potential.Stationary solutions of the coupled GPE system are obtained by means of the imaginary-time integration,while the temporal dynamics are simulated using the fourth-order Runge-Kutta algorithm.The analysis reveals stable rhombus-shaped VS shapes with topological charges m=1 and 2 of the atomic component.The stability domains and spatial structure of these VSs are governed by three key parameters:the parametric-coupling strength(χ),atomicmolecular interaction strength(g_(12)),and the optical-lattice potential depth(V_(0)).By varyingχand g_(12),we demonstrate a structural transition where four-core rhombus-shaped VSs evolve into eight-core square-shaped modes,highlighting the nontrivial nonlinear dynamics of the system.This work establishes a connection between interactions of cold atoms and topologically structured matter waves in hybrid quantum systems. 展开更多
关键词 atomic molecular Bose Einstein condensates vortex solitons fourth order Runge Kutta algorithm Gross Pitaevskii equation imaginary time integration square optical lattice potential vortex solitons vss temporal dynamics
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Corrigendum to“Mean-Squared Energy Difference for Exploring Potential Energy Landscapes of Supercooled Liquids”
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作者 D.M.Zhang D.Y.Sun X.G.Gong 《Chinese Physics Letters》 2025年第5期248-248,共1页
Equations(2)and(6)and the corresponding discussion in the paper[Chin.Phys.Lett.42,056301(2025)]have been corrected.These modiffcations do not affect the results derived in the paper.
关键词 potential energy landscapes EQUATIONS CORRECTIONS mean squared energy difference supercooled liquids
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Study of the nuclear mass model by sequential least squares programming
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作者 Hang Yang Cun-Yu Chen +2 位作者 Xiao-Yu Xu Han-Kui Wang You-Bao Wang 《Nuclear Science and Techniques》 2025年第7期204-212,共9页
Nuclear mass is an important property in both nuclear and astrophysics.In this study,we explore an improved mass model that incorporates a higher-order term of symmetry energy using algorithms.The sequential least squ... Nuclear mass is an important property in both nuclear and astrophysics.In this study,we explore an improved mass model that incorporates a higher-order term of symmetry energy using algorithms.The sequential least squares programming(SLSQP)algorithm augments the precision of this multinomial mass model by reducing the error from 1.863 MeV to 1.631 MeV.These algorithms were further examined using 200 sample mass formulae derived from theδE term of the E_(isospin) mass model.The SLSQP method exhibited superior performance compared to the other algorithms in terms of errors and convergence speed.This algorithm is advantageous for handling large-scale multiparameter optimization tasks in nuclear physics. 展开更多
关键词 Nuclear mass model Binding energy Magic nuclei Sequential least squares algorithm
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Aeromagnetic Compensation Method Based on Recursive Least Square and Elastic Weight Consolidation
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作者 Ma Xiao-Yu Zhang Jin-Sheng +2 位作者 Liao Shou-Yi Li Ting Li Ze-Hao 《Applied Geophysics》 2025年第2期279-290,555,共13页
Aeromagnetic compensation is one of the key issues in high-precision geomagnetic fl ight carrier navigation, directly determining the accuracy and reliability of real-time magnetic measurement data. The accurate model... Aeromagnetic compensation is one of the key issues in high-precision geomagnetic fl ight carrier navigation, directly determining the accuracy and reliability of real-time magnetic measurement data. The accurate modeling and compensation of interference magnetic measurements on carriers are of great signifi cance for the construction of reference and real-time maps for geomagnetic navigation. Current research on aeromagnetic compensation algorithms mainly focuses on accurately modeling interference magnetic fields from model- and data-driven perspectives based on measured aeromagnetic data. Challenges in obtaining aeromagnetic data and low information complexity adversely aff ect the generalization performance of a constructed model. To address these issues, a recursive least square algorithm based on elastic weight consolidation is proposed, which eff ectively suppresses the occurrence of catastrophic forgetting by controlling the direction of parameter updates. Experimental verifi cation with publicly available aeromagnetic datasets shows that the proposed algorithm can eff ectively circumvent historical information loss caused by interference magnetic field models during parameter updates and improve the stability, robustness, and accuracy of interference magnetic fi eld models. 展开更多
关键词 Geomagnetic navigation Aeromagnetic interference compensation Recursive least squares Elastic weight consolidation
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Non-negative least squares variance component estimation of mixed additive and multiplicative random error model
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作者 Hao Xiao Leyang Wang 《Geodesy and Geodynamics》 2025年第5期617-623,共7页
In the variance component estimation(VCE)of geodetic data,the problem of negative VCE is likely to occur.In the ordinary additive error model,there have been related studies to solve the problem of negative variance c... In the variance component estimation(VCE)of geodetic data,the problem of negative VCE is likely to occur.In the ordinary additive error model,there have been related studies to solve the problem of negative variance components.However,there is still no related research in the mixed additive and multiplicative random error model(MAMREM).Based on the MAMREM,this paper applies the nonnegative least squares variance component estimation(NNLS-VCE)algorithm to this model.The correlation formula and iterative algorithm of NNLS-VCE for MAMREM are derived.The problem of negative variance in VCE for MAMREM is solved.This paper uses the digital simulation example and the Digital Terrain Mode(DTM)to prove the proposed algorithm's validity.The experimental results demonstrated that the proposed algorithm can effectively correct the VCE in MAMREM when there is a negative VCE. 展开更多
关键词 Mixed additive and multiplicative random error model Stochastic model Non-negative least squares variance component estimation
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关于Square{all}和Square{most}的知识推理
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作者 杨菲菲 张晓君 《贵州工程应用技术学院学报》 2024年第5期68-73,共6页
首先证明了包含广义量词most和必然模态词□的□M□A□I-3广义模态三段论的有效性,并探讨“包含Square{all}和Square{most}中量词和模态词的直言命题形成的”广义模态三段论的可化归性等知识推理。这些三段论之间之所以具有可化归性,是... 首先证明了包含广义量词most和必然模态词□的□M□A□I-3广义模态三段论的有效性,并探讨“包含Square{all}和Square{most}中量词和模态词的直言命题形成的”广义模态三段论的可化归性等知识推理。这些三段论之间之所以具有可化归性,是因为:仅仅包含Square{all}中的量词的同一素材直言命题,其真假具有对当关系,而且仅仅包含Square{most}中的量词的同一素材直言命题也是如此,必然模态词与可能模态词可以相互定义。这些结果是基于演绎推理,因此它们在逻辑上是一致的。 展开更多
关键词 广义量词 square{all} square{most} 广义模态三段论 知识推理
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Least Squares One-Class Support Tensor Machine
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作者 Kaiwen Zhao Yali Fan 《Journal of Computer and Communications》 2024年第4期186-200,共15页
One-class classification problem has become a popular problem in many fields, with a wide range of applications in anomaly detection, fault diagnosis, and face recognition. We investigate the one-class classification ... One-class classification problem has become a popular problem in many fields, with a wide range of applications in anomaly detection, fault diagnosis, and face recognition. We investigate the one-class classification problem for second-order tensor data. Traditional vector-based one-class classification methods such as one-class support vector machine (OCSVM) and least squares one-class support vector machine (LSOCSVM) have limitations when tensor is used as input data, so we propose a new tensor one-class classification method, LSOCSTM, which directly uses tensor as input data. On one hand, using tensor as input data not only enables to classify tensor data, but also for vector data, classifying it after high dimensionalizing it into tensor still improves the classification accuracy and overcomes the over-fitting problem. On the other hand, different from one-class support tensor machine (OCSTM), we use squared loss instead of the original loss function so that we solve a series of linear equations instead of quadratic programming problems. Therefore, we use the distance to the hyperplane as a metric for classification, and the proposed method is more accurate and faster compared to existing methods. The experimental results show the high efficiency of the proposed method compared with several state-of-the-art methods. 展开更多
关键词 Least square One-Class Support Tensor Machine One-Class Classification Upscale Least square One-Class Support Vector Machine One-Class Support Tensor Machine
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Numerical modelling for predicting corrosion initiation life of reinforced concrete square piles under reverse-seepage pressure 被引量:1
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作者 WANG Rong-bo WU Wen-bing +3 位作者 HE Si-hong XIAO Liang WEN Min-jie MEI Guo-xiong 《Journal of Central South University》 SCIE EI CAS CSCD 2024年第10期3596-3611,共16页
Square piles of reinforced concrete(RC)in marine environments are susceptible to chloride-inducedcorrosion.A novel reverse-seepage technique(RST)is applied to square piles to block the intrusion of chlorides.Thisresea... Square piles of reinforced concrete(RC)in marine environments are susceptible to chloride-inducedcorrosion.A novel reverse-seepage technique(RST)is applied to square piles to block the intrusion of chlorides.Thisresearch introduces a computational model designed to predict the lifespan of corrosion initiation in reinforced concretesquare piles when applied reverse-seepage pressure.The model considers the impacts of chloride binding and the tripletime-dependence property among the permeability,the corrected surface chloride concentration,and the diffusioncoefficient.The proposed numerical model is solved using the alternating direction implicit(ADI)approach,and itsaccuracy and reliability are evaluated by contrasting the computational outcomes with the analytical solution andexperimental results.Furthermore,the primary factors contributing to the corrosion of reinforced concrete square pilesare analyzed.The results indicate that applying RST can decrease the chloride penetration depth and prolong the lifespanof corrosion initiation in square piles.The water-cement ratio and reverse seepage pressure are the most influentialfactors.A water pressure of 0.4 MPa can double the life of concrete,and the durable life of concrete with a water-cementratio of 0.3 can reach 100 years. 展开更多
关键词 reverse-seepage technique chloride ion intrusion alternating direction implicit method reinforced concrete square pile corrosion initiation life
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Numerical simulation of inlet placement on sewage characteristics in the rounded square aquaculture tank with single inlet 被引量:1
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作者 Xiaozhong REN Yixuan HU +5 位作者 Yinxin ZHOU Shupeng DU Wei SUN Hangfei LIU Chenxu ZHAO Ying LIU 《Journal of Oceanology and Limnology》 SCIE CAS CSCD 2024年第4期1359-1382,共24页
To improve the self-cleaning ability of aquaculture tank and the efficiency of circulating water,physical and numerical experiments were conducted on the influence of inlet structure on sewage discharge in a rounded s... To improve the self-cleaning ability of aquaculture tank and the efficiency of circulating water,physical and numerical experiments were conducted on the influence of inlet structure on sewage discharge in a rounded square aquaculture tank with a single inlet.Based on the physical model of the tank,analysis of how inlet structure adjustment affects sewage discharge efficiency and flow field characteristics was conducted to provide suitable flow field conditions for sinkable solid particle discharge.In addition,an internal flow field simulation was conducted using the RNG k-εturbulence model in hydraulic drive mode.Then a solid-fluid multiphase model was created to investigate how the inlet structure affects sewage collection in the rounded square aquaculture tank with single inlet and outlet.The finding revealed that the impact of inlet structure is considerably affecting sewage collection.The conditions of C/B=0.07-0.11(the ratio of horizontal distance between the center of the inlet pipe and the tank wall(C)to length of the tank(B))andα=25°(αis the angle between the direction of the jet and the tangential direction of the arc angle)resulted in optimal sewage collection,which is similar to the flow field experiment in the rounded square aquaculture tank with single inlet and outlet.An excellent correlation was revealed between sewage collection and fluid circulation stability in the aquaculture tank.The present study provided a reference for design and optimization of circulating aquaculture tanks in aquaculture industry. 展开更多
关键词 rounded square aquaculture tank sewage collection characteristic inlet structure computational fluid dynamic
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THE WEIGHTED KATO SQUARE ROOT PROBLEMOF ELLIPTIC OPERATORS HAVING A BMOANTI-SYMMETRICPART
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作者 马文贤 杨四辈 《Acta Mathematica Scientia》 SCIE CSCD 2024年第2期532-550,共19页
Let n≥2 and let L be a second-order elliptic operator of divergence form with coefficients consisting of both an elliptic symmetric part and a BMO anti-symmetric part in ℝ^(n).In this article,we consider the weighted... Let n≥2 and let L be a second-order elliptic operator of divergence form with coefficients consisting of both an elliptic symmetric part and a BMO anti-symmetric part in ℝ^(n).In this article,we consider the weighted Kato square root problem for L.More precisely,we prove that the square root L^(1/2)satisfies the weighted L^(p)estimates||L^(1/2)(f)||L_(ω)^p(R^(n))≤C||■f||L_(ω)^p(R^(n);R^(n))for any p∈(1,∞)andω∈Ap(ℝ^(n))(the class of Muckenhoupt weights),and that||■f||L_(ω)^p(R^(n);R^(n))≤C||L^(1/2)(f)||L_(ω)^p(R^(n))for any p∈(1,2+ε)andω∈Ap(ℝ^(n))∩RH_(2+ε/p),(R^(n))(the class of reverse Hölder weights),whereε∈(0,∞)is a constant depending only on n and the operator L,and where(2+ε/p)'denotes the Hölder conjugate exponent of 2+ε/p.Moreover,for any given q∈(2,∞),we give a sufficient condition to obtain that||■f||L_(ω)^p(R^(n);R^(n))≤C||L^(1/2)(f)||L_(ω)^p(R^(n))for any p∈(1,q)andω∈A_(p)(R^(n))∩pRH_(q/p),(R^(n)).As an application,we prove that when the coefficient matrix A that appears in L satisfies the small BMO condition,the Riesz transform∇L^(−1/2)is bounded on L_(ω)^(p)(ℝ^(n))for any given p∈(1,∞)andω∈Ap(ℝ^(n)).Furthermore,applications to the weighted L^(2)-regularity problem with the Dirichlet or the Neumann boundary condition are also given. 展开更多
关键词 elliptic operator Kato square root problem Muckenhoupt weight Riesz transform reverse Hölder inequality
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Algorithms and statistical analysis for linear structured weighted total least squares problem
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作者 Jian Xie Tianwei Qiu +2 位作者 Cui Zhou Dongfang Lin Sichun Long 《Geodesy and Geodynamics》 EI CSCD 2024年第2期177-188,共12页
Weighted total least squares(WTLS)have been regarded as the standard tool for the errors-in-variables(EIV)model in which all the elements in the observation vector and the coefficient matrix are contaminated with rand... Weighted total least squares(WTLS)have been regarded as the standard tool for the errors-in-variables(EIV)model in which all the elements in the observation vector and the coefficient matrix are contaminated with random errors.However,in many geodetic applications,some elements are error-free and some random observations appear repeatedly in different positions in the augmented coefficient matrix.It is called the linear structured EIV(LSEIV)model.Two kinds of methods are proposed for the LSEIV model from functional and stochastic modifications.On the one hand,the functional part of the LSEIV model is modified into the errors-in-observations(EIO)model.On the other hand,the stochastic model is modified by applying the Moore-Penrose inverse of the cofactor matrix.The algorithms are derived through the Lagrange multipliers method and linear approximation.The estimation principles and iterative formula of the parameters are proven to be consistent.The first-order approximate variance-covariance matrix(VCM)of the parameters is also derived.A numerical example is given to compare the performances of our proposed three algorithms with the STLS approach.Afterwards,the least squares(LS),total least squares(TLS)and linear structured weighted total least squares(LSWTLS)solutions are compared and the accuracy evaluation formula is proven to be feasible and effective.Finally,the LSWTLS is applied to the field of deformation analysis,which yields a better result than the traditional LS and TLS estimations. 展开更多
关键词 Linear structured weighted total least squareS ERRORS-IN-VARIABLES Errors-in-observations Functional modelmodification Stochastic model modification Accuracyevaluation
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