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耦合MOP-RSEI-PLUS模型的资源型城市生态安全格局构建
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作者 李婷 毛艳 +2 位作者 韩添 李朝奎 从政 《环境科学与技术》 北大核心 2026年第1期235-247,共13页
资源型城市的生态安全格局关系到城市的可持续发展,是实现国家生态文明战略的关键。该研究以湖北省大冶市为例,耦合MOP-RSEI-PLUS模型预测2035年不同情景下的土地利用变化,并结合MSPA、景观连通性和电路理论,构建大冶市生态安全格局,通... 资源型城市的生态安全格局关系到城市的可持续发展,是实现国家生态文明战略的关键。该研究以湖北省大冶市为例,耦合MOP-RSEI-PLUS模型预测2035年不同情景下的土地利用变化,并结合MSPA、景观连通性和电路理论,构建大冶市生态安全格局,通过对比分析不同情景下的生态网络特征,提出优化建议。结果表明:不同情景下大冶市的土地利用结构整体相似,但在数量需求上存在显著差异。其中,可持续发展(SD)情景有望实现生态、环境与经济价值的最大化。从生态安全格局来看,SD情景下的生态源地面积最大,生态节点数量更多且分布更均衡,生态廊道平均长度减少,生态网络结构更加稳定和高效。基于最优情景,提出“一环三区多点”的生态安全格局,并通过叠置分析识别出11条稳定型生态廊道、8个关键生态节点及部分消失的生态廊道。在此基础上,针对生态风险提出保护措施,为大冶市国土空间规划与生态保护提供科学依据。 展开更多
关键词 生态安全格局 mop模型 PLUS模型 RSEI模型 资源型城市
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基于MOP-PLUS模型的湿地公园生态韧性多情景研究——以新济洲国家湿地公园为例
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作者 丁治凡 梁昊玥 +3 位作者 王博锐 秦嘉瑜 朱颖 汪辉 《生态学报》 北大核心 2026年第1期490-502,共13页
湿地公园兼顾了湿地保护与公众游憩的双重功能,是一种湿地保护的成功模式。近年来,我国开展了大量的湿地公园建设,但湿地生态系统脆弱敏感极易受到干扰,不科学的规划建设会导致湿地生态系统的整体衰退,因此对于湿地公园的规划建设需要... 湿地公园兼顾了湿地保护与公众游憩的双重功能,是一种湿地保护的成功模式。近年来,我国开展了大量的湿地公园建设,但湿地生态系统脆弱敏感极易受到干扰,不科学的规划建设会导致湿地生态系统的整体衰退,因此对于湿地公园的规划建设需要更加的慎重。加强湿地公园生态韧性以提高湿地生态系统抗干扰和恢复的能力,有利于湿地公园的健康可持续发展,从而实现生态保护与社会服务双重目标。基于此,以新济洲国家湿地公园为例,耦合MOP(多目标规划)与PLUS模型进行湿地公园生态韧性的情景研究。结果表明:(1)相比于历史趋势情景,湿地公园生态韧性情景下的生境质量情景与Shannon多样性情景均有大幅度的生态韧性提升;(2)综合优化情景可以兼顾生境质量与Shannon多样性,是生态韧性提升的最优参考;(3)MOP模型可以对PLUS模型不同情景条件进行定量约束得出更为客观的湿地公园情景模拟结果,可以实现规划建设结果的预测。研究结果与方法为湿地公园的规划建设与优化提供了科学依据,以期为湿地公园的可持续发展提供借鉴。 展开更多
关键词 湿地公园 情景规划 生态韧性 多目标规划(mop) PLUS
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基于MOP模型的企业技术机会识别研究
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作者 慕生清 施国良 《情报杂志》 北大核心 2026年第2期140-148,共9页
在全球化竞争加剧的市场环境中,技术赋能的精准对接是提升企业创新能力的关键问题。专精特新企业面临技术短板,而领军企业虽具备技术优势,但资源匹配效率低下。因此,本研究提出“地图构建—机会发现—专利推荐”三层模型(MOP),以系统性... 在全球化竞争加剧的市场环境中,技术赋能的精准对接是提升企业创新能力的关键问题。专精特新企业面临技术短板,而领军企业虽具备技术优势,但资源匹配效率低下。因此,本研究提出“地图构建—机会发现—专利推荐”三层模型(MOP),以系统性解决技术供需错配问题。首先,基于生成式拓扑映射(GTM)构建专利地图,实现技术分布的可视化解析;其次,结合“技术空白识别”(余弦相似度算法)与“技术融合挖掘”(链接预测方法)双路径,识别潜在技术机会;最后,通过需求映射、专利筛选及优先级排序,形成定制化专利推荐方案。在新能源汽车领域的实证研究中,模型成功识别出5项技术空白和5项高潜力技术融合方向,并推荐适配性专利。研究表明,MOP模型显著提升了技术赋能的精准性,为专精特新企业与领军企业的协同创新提供了方法论支持。 展开更多
关键词 技术机会识别 mop模型 专利地图 链接预测 领军企业 新能源汽车
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基于APTS-MoP/C核壳结构石墨电极的制备及对甲基硫菌灵的检测
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作者 温艳霞 吴锐 孙志超 《农药》 北大核心 2026年第1期51-56,共6页
[目的]建立一种针对甲基硫菌灵的电化学分析方法。[方法]将磷化钼(MoP)分散在3-氨基丙基三乙氧基硅烷(APTS)中,包覆石墨颗粒后形成具有核壳结构的材料,制成石墨电极并对蔬菜、水果、河流水样中的甲基硫菌灵进行农残检测。[结果]采用方... [目的]建立一种针对甲基硫菌灵的电化学分析方法。[方法]将磷化钼(MoP)分散在3-氨基丙基三乙氧基硅烷(APTS)中,包覆石墨颗粒后形成具有核壳结构的材料,制成石墨电极并对蔬菜、水果、河流水样中的甲基硫菌灵进行农残检测。[结果]采用方波伏安法测得甲基硫菌灵的响应电流与浓度在8.0~500µmol/L成线性,检出限为6.4×10^(-3)µmol/L,RSD在1.6%~4.6%之间,回收率达98.7%~103.3%。[结论]硅烷偶联剂-磷化钼/石墨电极(APTS-MoP/CPE)相比裸碳糊电极(CPE)传递阻抗Rct值减小至1/10。比表面积、有效电极面积增大至2.8、2.6倍,并且该方法能够对蔬菜、水果等样品中的甲基硫菌灵进行快速检测。 展开更多
关键词 甲基硫菌灵 磷化钼 3-氨基丙基三乙氧基硅烷 电分析方法
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The Asymptotic Distribution of General Divisor Problem Associated to Dedekind Zeta Function over Certain Sequences
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作者 HUA Guodong 《数学进展》 北大核心 2026年第2期292-314,共23页
Let K_(j)/Q,1≤j≤ν,ν≥2 be quadratic fields with pairwise coprime discriminants Dj,and let τ_(kj)^(K_(j))(n)be the divisor function associated to Dedekind zeta function SK_(j)(s).In this paper,we consider a multid... Let K_(j)/Q,1≤j≤ν,ν≥2 be quadratic fields with pairwise coprime discriminants Dj,and let τ_(kj)^(K_(j))(n)be the divisor function associated to Dedekind zeta function SK_(j)(s).In this paper,we consider a multidimensional general divisor problem related to the τ_(kj)^(K_(j))(n)involving several number fields over square integers,by establishing the corresponding asymptotic formula.As an application,we also obtain the asymptotic formula of variance of these coefi icients. 展开更多
关键词 non-normal cubic field Dekekind zeta function divisor problem
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Nonlocal Boundary Value Problems for Nonlinear Fractional Differential Equations with a Disturbance Parameter on the Infinite Interval
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作者 ZHENG Yanping YANG Hui WANG Wenxia 《应用数学》 北大核心 2026年第2期360-372,共13页
This paper is concerned with a class of nonlinear fractional differential equations with a disturbance parameter in the integral boundary conditions on the infinite interval.By using Guo-Krasnoselskii fixed point theo... This paper is concerned with a class of nonlinear fractional differential equations with a disturbance parameter in the integral boundary conditions on the infinite interval.By using Guo-Krasnoselskii fixed point theorem,fixed point index theory and the analytic technique,we give the bifurcation point of the parameter which divides the range of parameter for the existence of at least two,one and no positive solutions for the problem.And,by using a fixed point theorem of generalized concave operator and cone theory,we establish the maximum parameter interval for the existence of the unique positive solution for the problem and show that such a positive solution continuously depends on the parameter.In the end,some examples are given to illustrate our main results. 展开更多
关键词 Boundary value problem Disturbance parameter Infinite interval Bifurcation point CONE
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Graph Guide Diffusion Solvers with Noises for Travelling Salesman Problem
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作者 Yan Kong Xinpeng Guo Chih-Hsien Hsia 《Computers, Materials & Continua》 2026年第3期689-707,共19页
With the development of technology,diffusion model-based solvers have shown significant promise in solving Combinatorial Optimization(CO)problems,particularly in tackling Non-deterministic Polynomial-time hard(NP-hard... With the development of technology,diffusion model-based solvers have shown significant promise in solving Combinatorial Optimization(CO)problems,particularly in tackling Non-deterministic Polynomial-time hard(NP-hard)problems such as the Traveling Salesman Problem(TSP).However,existing diffusion model-based solvers typically employ a fixed,uniform noise schedule(e.g.,linear or cosine annealing)across all training instances,failing to fully account for the unique characteristics of each problem instance.To address this challenge,we present GraphGuided Diffusion Solvers(GGDS),an enhanced method for improving graph-based diffusion models.GGDS leverages Graph Neural Networks(GNNs)to capture graph structural information embedded in node coordinates and adjacency matrices,dynamically adjusting the noise levels in the diffusion model.This study investigates the TSP by examining two distinct time-step noise generation strategies:cosine annealing and a Neural Network(NN)-based approach.We evaluate their performance across different problem scales,particularly after integrating graph structural information.Experimental results indicate that GGDS outperforms previous methods with average performance improvements of 18.7%,6.3%,and 88.7%on TSP-500,TSP-100,and TSP-50,respectively.Specifically,GGDS demonstrates superior performance on TSP-500 and TSP-50,while its performance on TSP-100 is either comparable to or slightly better than that of previous methods,depending on the chosen noise schedule and decoding strategy. 展开更多
关键词 Combinatorial optimization problem diffusion model noise schedule traveling salesman problem
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Mindfulness and internalizing/externalizing problems among adolescents:Ethnicity moderation and psychological capital mediation
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作者 Jia Wu Wei Luo +4 位作者 Qianguo Xiao Qinhong Xie Xiaodong Li Taiyong Bi Hui Kou 《Journal of Psychology in Africa》 2026年第1期97-106,共10页
This study examines the mediating role of positive psychological capital and the moderating role of ethnicity in the relationship between mindfulness and internalizing/externalizing problems among adolescents.The stud... This study examines the mediating role of positive psychological capital and the moderating role of ethnicity in the relationship between mindfulness and internalizing/externalizing problems among adolescents.The study sample comprized Chinese adolescents(N=637 ethnic minority;females=40.97%,meam age=12.68,SD=0.49 years;N=636 Han;females=49.06%,mean age=12.71,SD=0.47 years).The participants completed the Child and Adolescent Mindfulness Measure,the Positive Psycap Questionnaire,and the Youth Self-Report.Results from the moderated mediation analysis showed mindfulness was negatively associated with both internalizing and externalizing problems.Ethnicity moderated the relationship between mindfulness and internalizing problems to be stronger for Han adolescents compared to ethnic minority adolescents.Psychological capital mediated the relationship between mindfulness and internalizing problems in both groups,with a negative direction.Findings support the Conservation of Resources theory and highlight mindfulness as a personal resource fostering adolescent well-being in multicultural contexts. 展开更多
关键词 Ethnic minority adolescent MINDFULNESS positive psychological capital internalizing problems externalizing problems
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Bifurcation and Stability of Nonlinear Steklov Problems on the Unit Disk
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作者 Qingbo LIU Ruihao LIU Yingxin SUN 《Journal of Mathematical Research with Applications》 2026年第2期251-262,共12页
This paper is concerned with the following nonlinear Steklov problemΔu=0 in D,∂vu=λf(u)on∂D,where D is the unit disk in the plane,∂v denotes the unit outward normal derivative.For each k∈N,under some natural condit... This paper is concerned with the following nonlinear Steklov problemΔu=0 in D,∂vu=λf(u)on∂D,where D is the unit disk in the plane,∂v denotes the unit outward normal derivative.For each k∈N,under some natural conditions on f,using the Crandall-Rabinowitz bifurcation theorem,we obtain a bifurcation curve emanating from(k,0).Furthermore,we also analyze the local structure of bifurcation curves and stability of solutions on them.Specifically,our results indicate the bifurcation is critical for each k and is subcritical(supercritical)if f'''(0)>0(f'''(0)<0). 展开更多
关键词 teklov eigenvalue BIFURCATION STABILITY nonlinear boundary problem
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Diagnosing Organizational Bottlenecks in Student Software Projects with Extended Problem Frames
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作者 Zicheng Huang Hongbin Xiao Zhi Li 《计算机教育》 2026年第3期210-219,共10页
In educational settings,instructors often lead students through hands-on software projects,sometimes engaging two different schools or departments.How can such collaborations be made more efficient,and how can student... In educational settings,instructors often lead students through hands-on software projects,sometimes engaging two different schools or departments.How can such collaborations be made more efficient,and how can students truly experience the importance of teamwork and the impact of organizational structure on project complexity?To answer these questions,we introduce the requirement-driven organization structure(R-DOS)approach,which tightly couples software requirements with the actual development process.By extending problem-frames modeling and focusing on requirements,R-DOS allows educators and students to(1)diagnose structural flaws early,(2)prescribe role-level and communication fixes,and(3)observe-in real time-how poor structure can derail a project while good structure accelerates learning and delivery. 展开更多
关键词 Requirements engineering Organization structure problem Frames
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Solutions of three-body problem based on an equivalent system approach
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作者 Jing Tang Xing 《Acta Mechanica Sinica》 2026年第1期292-309,共18页
Generalised reduced masses with a set of equations governing the three relative motions between two of 3-bodies in their gravitational field are established,of which the dynamic characteristics of 3-body dynamics,fund... Generalised reduced masses with a set of equations governing the three relative motions between two of 3-bodies in their gravitational field are established,of which the dynamic characteristics of 3-body dynamics,fundamental bases of this paper,are revealed.Based on these findings,an equivalent system is developed,which is a 2-body system with its total mass,constant angular momentum,kinetic and potential energies same as the total ones of three relative motions,so that it can be solved using the well-known theory of the 2-body system.From the solution of an equivalent system with the revealed characteristics of three relative motions,the general theoretical solutions of the 3-body system are obtained in the curve-integration forms along the orbits in the imaged radial motion space.The possible periodical orbits with generalised Kepler’s law are presented.Following the description and mathematical demonstrations of the proposed methods,the examples including Euler’s/Lagrange’s problems,and a reported numerical one are solved to validate the proposed methods.The methods derived from the 3-body system are extended to N-body problems. 展开更多
关键词 Three-body problem Equivalent system with solutions Orbit-equation of a conic section Generalised reduced mass Chaotic motions Generalised Kepler’s law N-body problem
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The Curvilinear Relationship between Maternal-Parenting Stress and Adolescent Internalizing-Problems:Family Socioeconomic-Status and Adolescent Gender’s Moderating Roles
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作者 Xiaoting Hou Jingjing Zhao +2 位作者 Yuxin Shi Yuhua Li Shufen Xing 《International Journal of Mental Health Promotion》 2026年第3期26-37,共12页
Background:The growing parenting stress among Chinese mothers in recent years raises concerns about its impact on adolescent internalizing problems.The purpose of this study was to examine the curvilinear relationship... Background:The growing parenting stress among Chinese mothers in recent years raises concerns about its impact on adolescent internalizing problems.The purpose of this study was to examine the curvilinear relationship between maternal parenting stress and internalizing problems in adolescents,and further explore the moderating effects of family socioeconomic status(SES)and adolescent gender.Methods:Data were collected from 405 mothers and adolescents(203 boys,Meanage=12.23)across five cities(Beijing,Hebei,Shanxi,Shenzhen,and Shandong)in China,who completed self-report measures of maternal parenting stress and internalizing problems.Descriptive statistics and multiple regression analyses were conducted using SPSS 27.0.Results:Multiple regression analyses indicated that the association between maternal parenting stress2 and adolescents’internalizing problems was moderated by the interaction between gender and SES(b=−0.03,p<0.01).Specifically,a significant U-shaped relationship was observed among high-SES boys(b=0.12,t=3.89,p<0.001),with internalizing problems peaking at both low and high levels of maternal parenting stress,whereas the moderating effect of SES was not significant among girls.Conclusion:The study highlights that moderate maternal parenting stress is associated with lower internalizing problems among adolescents,particularly among high-SES boys,indicating that interventions should consider the optimal balance of parental stress and account for family socioeconomic and adolescent gender differences. 展开更多
关键词 Maternal parenting stress internalizing problems family socioeconomic status GENDER
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Sensitivity of glacial isostatic adjustment observations on 3D Earths with lateral viscosity variations:A perspective from the Forward problem
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作者 Patrick Wu 《Geodesy and Geodynamics》 2026年第1期1-11,共11页
Sensitivity of observational data is important in the study of Glacial Isostatic Adjustment(GIA).However,depending on whether sensitivity is used for the Inverse Problem or the Forward Problem,the final formulation an... Sensitivity of observational data is important in the study of Glacial Isostatic Adjustment(GIA).However,depending on whether sensitivity is used for the Inverse Problem or the Forward Problem,the final formulation and display of the sensitivity kernel will be different.Unfortunately,in the past,both perspectives give the same name to their quantity computed/displayed,and that has caused some confusion.To distinguish between the two,their perspective should be added to the names.This paper focuses only on the perspective of the Forward Problem where the input parameters are known.The Perturbation method has been successfully used in the computation of the sensitivity kernels of observations on 1D and 3D viscosity variations from the Forward perspective.One aim of this paper is to review and clarify the physics of the Perturbation method and bring out some important aspects of this method that have been misunderstood or neglected.Another aim is to present sensitivity kernels from the Perturbation method using 3D(both radially and laterally heterogeneous)Earth models with realistic ice history.These new results are now suitable for future comparison with those from new methods using the Forward perspective.Finally,the sensitivity computations for realistic ice histories on a 3D Earth is reviewed and used to search for optimal locations of new GIA observations. 展开更多
关键词 Mantle rheology Loading of the Earth Forward problem
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Micromagnetic simulation of μMAG standard problem No.3:Evaluating the standard dipole-dipole interaction
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作者 A.K.F.Silva D.C.Carvalho +1 位作者 H.S.Assis P.Z.Coura 《Chinese Physics B》 2026年第1期180-186,共7页
Cubic-shaped magnetic particles subjected to a dimensionless uniaxial anisotropy(Q=0.1)aligned with one of the crystallographic axes provide an ideal system for investigating magnetic equilibrium states.In this system... Cubic-shaped magnetic particles subjected to a dimensionless uniaxial anisotropy(Q=0.1)aligned with one of the crystallographic axes provide an ideal system for investigating magnetic equilibrium states.In this system,three fundamental magnetization configurations are identified:(i)the flower state,(ii)the twisted flower state,and(iii)the vortex state.This problem corresponds to standard problem No.3 proposed by the NIST Micromagnetics Modeling Group,widely adopted as a benchmark for validating computational micromagnetics methods.In this work,we approach the problem using a computational method based on direct dipolar interactions,in contrast to conventional techniques that typically compute the demagnetizing field via finite difference-based fast Fourier transform(FFT)methods,tensor grid approaches,or finite element formulations.Our results are compared with established literature data,focusing on the dimensionless parameterλ=L/l_(ex),where L is the cube edge length and l_(ex)is the exchange length of the material.To analyze equilibrium state transitions,we systematically varied the size L as a function of the simulation cell number N and intercellular spacing a,determining the criticalλvalue associated with configuration changes.Our simulations reveal that the transition between the twisted flower and vortex states occurs atλ≈8.45,consistent with values reported in the literature,validating our code(Grupo de Física da Matéeria Condensada-UFJF),and shows that this standard problem can be resolved using only interaction dipolar of a direct way without the need for sophisticated additional calculations. 展开更多
关键词 micromagnetic simulation standard problem No.3 dipolar interaction
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Collaborative scheduling problem pertaining to launch and recovery operations for carrier aircraft
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作者 GUO Fang HAN Wei +3 位作者 LIU Yujie SU Xichao LIU Jie LI Changjiu 《Journal of Systems Engineering and Electronics》 2026年第1期287-306,共20页
The proliferation of carrier aircraft and the integration of unmanned aerial vehicles(UAVs)on aircraft carriers present new challenges to the automation of launch and recovery operations.This paper investigates a coll... The proliferation of carrier aircraft and the integration of unmanned aerial vehicles(UAVs)on aircraft carriers present new challenges to the automation of launch and recovery operations.This paper investigates a collaborative scheduling problem inherent to the operational processes of carrier aircraft,where launch and recovery tasks are conducted concurrently on the flight deck.The objective is to minimize the cumulative weighted waiting time in the air for recovering aircraft and the cumulative weighted delay time for launching aircraft.To tackle this challenge,a multiple population self-adaptive differential evolution(MPSADE)algorithm is proposed.This method features a self-adaptive parameter updating mechanism that is contingent upon population diversity,an asynchronous updating scheme,an individual migration operator,and a global crossover mechanism.Additionally,comprehensive experiments are conducted to validate the effectiveness of the proposed model and algorithm.Ultimately,a comparative analysis with existing operation modes confirms the enhanced efficiency of the collaborative operation mode. 展开更多
关键词 carrier aircraft collaborative scheduling problem LAUNCH RECOVERY multiple population differential evolution
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Somatization and Eating Problems in Adolescents in Residential Care: The Influence of Relational Trauma, Attachment, Gender, and Personal Resources
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作者 Laura Lacomba-Trejo Francisco González-Sala +1 位作者 Sandra Simó Florencia Talmón-Knuser 《International Journal of Mental Health Promotion》 2026年第3期38-58,共21页
Backgrounds:Somatization and eating-related problems in adolescents living in residential care may be shaped by the interplay of risk and protective factors,including gender,relational trauma,attachment patterns,emoti... Backgrounds:Somatization and eating-related problems in adolescents living in residential care may be shaped by the interplay of risk and protective factors,including gender,relational trauma,attachment patterns,emotional intelligence,and perceived social support.This study examined how gender,relational trauma,attachment dimensions,resilience,and emotional intelligence contribute to the presence of somatic and eating difficulties in this population.Methods:The sample included 46 adolescents(63%female;ages 12–17,Mean=14.85,Standard Deviation(SD)=1.49)residing in child protection institutions in Uruguay.Participants completed self-report measures assessing childhood relational trauma(CaMir),attachment dimensions(anxiety and avoidance),resilience,emotional intelligence(adaptability and stress management),social support(MOS),and psychosocial adjustment(SENA subscales of somatization and eating problems).Using a fuzzy-set Qualitative Comparative Analysis(fsQCA)approach,distinct configurations of risk and protective factors associated with elevated levels of somatization and eating problems were identified.Results:Relational trauma and attachment anxiety showed moderate associations with both somatization and eating problems(r=0.52–0.57,p<0.01),whereas stress management was negatively associated with both outcomes(r=−0.37 to−0.47,p<0.05).FsQCA revealed multiple configurations of risk and protective factors explaining 81–90%of cases,with solution consistencies ranging from 0.83 to 0.87.Results suggest that relational trauma and attachment anxiety are key risk conditions,whereas resilience,emotional regulation,and perceived social support function as protective factors.Conclusions:Findings highlight the importance of considering multifactorial patterns of vulnerability and protection rather than single predictors and underscore the need for tailored interventions that strengthen resilience and emotional skills while addressing the impact of early relational trauma. 展开更多
关键词 Residential care SOMATIZATION eating problems relational trauma RESILIENCE emotional intelligence social support
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NONLINEAR RIEMANN AND HILBERT BOUNDARY VALUE PROBLEMS WITH SQUARE ROOTS IN VARIABLE EXPONENT SPACES
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作者 Yajun Hu Fuli He 《Acta Mathematica Scientia》 2026年第1期1-18,共18页
In this paper,we study the nonlinear Riemann boundary value problem with square roots that is represented by a Cauchy-type integral with kernel density in variable exponent Lebesgue spaces.We discuss the odd-order zer... In this paper,we study the nonlinear Riemann boundary value problem with square roots that is represented by a Cauchy-type integral with kernel density in variable exponent Lebesgue spaces.We discuss the odd-order zero-points distribution of the solutions and separate the single valued analytic branch of the solutions with square roots,then convert the problem to a Riemann boundary value problem in variable exponent Lebesgue spaces and discuss the singularity of solutions at individual zeros belonging to curve.We consider two types of cases those where the coefficient is Hölder and those where it is piecewise Hölder.Then we solve the Hilbert boundary value problem with square roots in variable exponent Lebesgue spaces.By discussing the distribution of the odd-order zero-points for solutions and the method of symmetric extension,we convert the Hilbert problem to a Riemann boundary value problem.The equivalence of the transformation is discussed.Finally,we get the solvable conditions and the direct expressions of the solutions in variable exponent Lebesgue spaces. 展开更多
关键词 boundary value problem Cauchy-type integral variable exponent spaces non-linearity piecewise Lyapunov curve
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Precedence Criteria and Gradient-Based Scheduling Algorithm for the Airplane Refueling Problem
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作者 LIN Hao HE Cheng 《Chinese Quarterly Journal of Mathematics》 2026年第1期38-49,共12页
The airplane refueling problem can be stated as follows.We are given n airplanes which can refuel one another during the flight.Each airplane has a reservoir volume wj(liters)and a consumption rate pj(liters per kilom... The airplane refueling problem can be stated as follows.We are given n airplanes which can refuel one another during the flight.Each airplane has a reservoir volume wj(liters)and a consumption rate pj(liters per kilometer).As soon as one airplane runs out of fuel,it is dropping out of the flight.The problem asks for finding a refueling scheme such that the last plane in the air reach a maximal distance.An equivalent version is the n-vehicle exploration problem.The computational complexity of this non-linear combinatorial optimization problem is open so far.This paper employs the neighborhood exchange method of single-machine scheduling to study the precedence relations of jobs,so as to improve the necessary and sufficiency conditions of optimal solutions,and establish an efficient heuristic algorithm which is a generalization of several existing special algorithms. 展开更多
关键词 Combinatorial optimization Scheduling method The airplane refueling problem Optimality criteria Heuristic algorithm
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Design and Validation of Zeroing Neural Network With Active Noise Rejection Capability for Time-Varying Problems Solving
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作者 Yilin Shang Wenbo Zhang +1 位作者 Dongsheng Guo Shan Xue 《CAAI Transactions on Intelligence Technology》 2026年第1期256-266,共11页
Recently,the zeroing neural network(ZNN)has demonstrated remarkable effectiveness in tackling time-varying problems,delivering robust performance across both noise-free and noisy environments.However,existing ZNN mode... Recently,the zeroing neural network(ZNN)has demonstrated remarkable effectiveness in tackling time-varying problems,delivering robust performance across both noise-free and noisy environments.However,existing ZNN models are limited in their ability to actively suppress noise,which constrains their robustness and precision in solving time-varying problems.This paper introduces a novel active noise rejection ZNN(ANR-ZNN)design that enhances noise suppression by integrating computational error dynamics and harmonic behaviour.Through rigorous theoretical analysis,we demonstrate that the proposed ANR-ZNN maintains robust convergence in computational error performance under environmental noise.As a case study,the ANR-ZNN model is specifically applied to time-varying matrix inversion.Comprehensive computer simulations and robotic experiments further validate the ANR-ZNN's effectiveness,emphasising the proposed design's superiority and potential for solving time-varying problems. 展开更多
关键词 active noise rejection matrix inversion robot application time-varying problems zeroing neural network
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Centralized Circumcentered-Reflection Method for Solving the Convex Feasibility Problem in Sparse Signal Recovery
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作者 Chunmei LI Bangjun CHEN Xuefeng DUAN 《Journal of Mathematical Research with Applications》 2026年第1期119-133,共15页
Convex feasibility problems are widely used in image reconstruction, sparse signal recovery, and other areas. This paper is devoted to considering a class of convex feasibility problem arising from sparse signal recov... Convex feasibility problems are widely used in image reconstruction, sparse signal recovery, and other areas. This paper is devoted to considering a class of convex feasibility problem arising from sparse signal recovery. We first derive the projection formulas for a vector onto the feasible sets. The centralized circumcentered-reflection method is designed to solve the convex feasibility problem. Some numerical experiments demonstrate the feasibility and effectiveness of the proposed algorithm, showing superior performance compared to conventional alternating projection methods. 展开更多
关键词 convex feasibility problem centralized circumcentered-re ection method sparse signal recovery compressed sensing
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