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Optimal Synchronization of Higher-Order Dynamical Networks 被引量:1
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作者 Guanrong CHEN 《Artificial Intelligence Science and Engineering》 2025年第1期31-36,共6页
This article briefly reviews the topic of complex network synchronization,with its graph-theoretic criterion,showing that the homogeneous and symmetrical network structures are essential for optimal synchronization.Fu... This article briefly reviews the topic of complex network synchronization,with its graph-theoretic criterion,showing that the homogeneous and symmetrical network structures are essential for optimal synchronization.Furthermore,it briefly reviews the notion of higher-order network topologies and shows their promising potential in application to evaluating the optimality of network synchronizability. 展开更多
关键词 complex network SYNCHRONIZATION optimal synchronizability SIMPLEX higher-order topology
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A New Technique for Constructing Higher-order Iterative Methods to Solve Nonlinear Systems
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作者 XIAO Xiaoyong 《应用数学》 北大核心 2025年第3期762-774,共13页
In this paper,a new technique is introduced to construct higher-order iterative methods for solving nonlinear systems.The order of convergence of some iterative methods can be improved by three at the cost of introduc... In this paper,a new technique is introduced to construct higher-order iterative methods for solving nonlinear systems.The order of convergence of some iterative methods can be improved by three at the cost of introducing only one additional evaluation of the function in each step.Furthermore,some new efficient methods with a higher-order of convergence are obtained by using only a single matrix inversion in each iteration.Analyses of convergence properties and computational efficiency of these new methods are made and testified by several numerical problems.By comparison,the new schemes are more efficient than the corresponding existing ones,particularly for large problem sizes. 展开更多
关键词 Systems of nonlinear equation Order of convergence higher-order method Extended Newton iteration Computational efficiency
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Analysis of Daily Life,Spiritual Comfort,and Fall Safety Care Needs of Elderly People in Urban and Rural Areas
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作者 Fang Zheng Xiaojing Tang Xinyue Zhang 《Journal of Clinical and Nursing Research》 2025年第1期157-163,共7页
Objective: To examine the daily life care, spiritual comfort, and fall safety care needs of the elderly in urban and rural areas of Tangshan, along with their influencing factors. Methods: From August 2022 to April 20... Objective: To examine the daily life care, spiritual comfort, and fall safety care needs of the elderly in urban and rural areas of Tangshan, along with their influencing factors. Methods: From August 2022 to April 2023, an investigation was conducted among urban and rural elderly individuals aged over 75 years in Tangshan City using the Activities of Daily Living Scale, the Revised Community Elderly Fall Risk Assessment Tool, and the Loneliness Scale. Results: The study included 750 urban and 740 rural elderly individuals aged over 75 years. Matrix analysis revealed a significant proportion of fall safety care needs across various daily life and spiritual care requirements. Multiple factor analysis indicated that advanced age, lower education levels, a greater number of chronic diseases, and lower levels of family and social support were associated with higher care demands among the elderly in both urban and rural areas. These differences were statistically significant (P < 0.05). Conclusion: The elderly in urban and rural areas demonstrate a high demand for fall safety care. Particular attention should be given to individuals with lower education levels, those who are widowed, those with multiple chronic diseases, and those with low levels of family and social support to better meet the diverse care needs of this population. 展开更多
关键词 Elderly people Daily life care needs Spiritual comfort needs Fall safety care needs Matrix analysis
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A Study on the Current Situation of Supportive Care Needs and Influencing Factors of Postoperative Patients with Muscle-Invasive Bladder Cancer
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作者 Xue Hu Shangkun Zhang +2 位作者 Qian Sun Juan Zhou Xia Pan 《Journal of Biosciences and Medicines》 2025年第2期357-368,共12页
Objective: To explore the current status and influencing factors of supportive care needs in patients with muscle-invasive bladder cancer after surgery, and to provide a reference for the development of targeted inter... Objective: To explore the current status and influencing factors of supportive care needs in patients with muscle-invasive bladder cancer after surgery, and to provide a reference for the development of targeted intervention strPan ategies. Methods: A general data questionnaire and supportive care needs scale were used to investigate 107 patients with muscle-invasive bladder cancer after surgery. Results: The total score of supportive care needs in patients with muscle-invasive bladder cancer after surgery was (98.48 ± 9.07). Multiple linear regression analysis showed that age, primary caregiver, medical payment method, number of hospitalizations and postoperative time were important influencing factors of supportive care needs in patients with muscle-invasive bladder cancer after surgery (P Conclusion: The supportive care needs of patients with muscle-invasive bladder cancer after surgery are at a low level. Medical staff should identify them early, pay more attention to young patients, patients without medical insurance and patients with multiple hospitalizations, and provide targeted nursing measures to meet their supportive care needs. 展开更多
关键词 Muscle-Invasive Bladder Cancer Supportive Care needs Influencing Factors
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Higher-order optimality conditions for multiobjective optimization through a new type of directional derivatives
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作者 HUANG Zheng-gang 《Applied Mathematics(A Journal of Chinese Universities)》 2025年第3期543-557,共15页
This paper deals with extensions of higher-order optimality conditions for scalar optimization to multiobjective optimization.A type of directional derivatives for a multiobjective function is proposed,and with this n... This paper deals with extensions of higher-order optimality conditions for scalar optimization to multiobjective optimization.A type of directional derivatives for a multiobjective function is proposed,and with this notion characterizations of strict local minima of order k for a multiobjective optimization problem with a nonempty set constraint are established,generalizing the corresponding scalar case obtained by Studniarski[3].Also necessary not sufficient and sufficient not necessary optimality conditions for this minima are derived based on our directional derivatives,which are generalizations of some existing scalar results and equivalent to some existing multiobjective ones.Many examples are given to illustrate them there. 展开更多
关键词 strict local minima of order k multiobjective optimization higher-order optimality conditions higher-order directional derivatives
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Research progress on information needs of perinatal women
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作者 Jia-Wei Du Li-Hua Jin 《Nursing Communications》 2025年第2期1-7,共7页
Describe the content and current situation of maternal information needs and support,providing a basis for building maternal information needs assessment tools and improving information support systems.Retrieve articl... Describe the content and current situation of maternal information needs and support,providing a basis for building maternal information needs assessment tools and improving information support systems.Retrieve articles related to the topic from domestic and foreign databases,and ultimately include 54 articles.Summarize from the aspects of information demand content,influencing factors,evaluation tools,and information support channels.We found that the information needs of pregnant women are rich in content,but the existing information support content is limited and the form is single.There is an urgent need to establish scientific and effective information needs assessment tools,as well as diverse information support systems. 展开更多
关键词 perinatal period information needs REVIEW
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Explosive information spreading in higher-order networks:Effect of social reinforcement
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作者 Yu Zhou Yingpeng Liu +4 位作者 Liang Yuan Youhao Zhuo Kesheng Xu Jiao Wu Muhua Zheng 《Chinese Physics B》 2025年第3期196-202,共7页
Information spreading has been investigated for many years,but the mechanism of why the information explosively catches on overnight is still under debate.This explosive spreading phenomenon was usually considered dri... Information spreading has been investigated for many years,but the mechanism of why the information explosively catches on overnight is still under debate.This explosive spreading phenomenon was usually considered driven separately by social reinforcement or higher-order interactions.However,due to the limitations of empirical data and theoretical analysis,how the higher-order network structure affects the explosive information spreading under the role of social reinforcement has not been fully explored.In this work,we propose an information-spreading model by considering the social reinforcement in real and synthetic higher-order networks,describable as hypergraphs.Depending on the average group size(hyperedge cardinality)and node membership(hyperdegree),we observe two different spreading behaviors:(i)The spreading progress is not sensitive to social reinforcement,resulting in the information localized in a small part of nodes;(ii)a strong social reinforcement will promote the large-scale spread of information and induce an explosive transition.Moreover,a large average group size and membership would be beneficial to the appearance of the explosive transition.Further,we display that the heterogeneity of the node membership and group size distributions benefit the information spreading.Finally,we extend the group-based approximate master equations to verify the simulation results.Our findings may help us to comprehend the rapidly information-spreading phenomenon in modern society. 展开更多
关键词 explosive information spreading social reinforcement higher-order interactions complex network
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Analysis of the current status and influencing factors of basic psychological needs of community residents in Yanbian
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作者 Shu-Han Liu Yin-Ji Jin 《Nursing Communications》 2025年第13期1-7,共7页
Background:Despite self-determination theory’s prominence,few studies examine BPN in China’s ethnic frontier regions.Therefore,this study investigates and analyzes the current situation of community residents with d... Background:Despite self-determination theory’s prominence,few studies examine BPN in China’s ethnic frontier regions.Therefore,this study investigates and analyzes the current situation of community residents with different demographic characteristics in Yanbian in the three basic psychological needs of competency needs,autonomy needs and attribution needs,so as to provide reference for the construction of community service in Yanbian area.Methods:A survey was conducted among 234 residents in four communities in Yanbian from September to October 2024.The equal probability random sampling method was used to collect data by using a general information questionnaire and basic psychological demand scale,and SPSS 28.0 was used for analysis.Through single factor analysis,Pearson correlation analysis and multiple linear regression analysis,the influencing factors and correlation of basic psychological needs of community residents in Yanbian area were discussed.Results:The basic psychological needs of residents were above the middle level;there is a significant positive correlation between economic status and the three dimensions of basic psychological needs(P<0.001).There is a significant positive correlation between the three dimensions of competence demand(β=2.028,P<0.001),autonomy demand(β=2.022,P<0.001),and attribution demand(β=2.693,P<0.001).Conclusion:The satisfaction degree of basic psychological needs of community residents in Yanbian is significantly affected by economic situation,which urges nurses to advocate for economic empowerment programs in community health and provides an empirical basis for the construction of a psychological service system in this area.At the same time,it is proposed that the region can respond by improving social support and improving employment results. 展开更多
关键词 basic psychological needs community residents self-determination theory PSYCHOLOGY
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A Study of Staged Differences in the Needs of Lymphoma Patients throughout the Service under the Care Perspective
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作者 Yaru Qian Deying Hu 《Journal of Clinical and Nursing Research》 2025年第6期179-187,共9页
Based on the perspective of caring,this study constructs a whole-cycle management programme for lymphoma patients,and systematically explores the pathway of patients’health management from diagnosis to recovery by in... Based on the perspective of caring,this study constructs a whole-cycle management programme for lymphoma patients,and systematically explores the pathway of patients’health management from diagnosis to recovery by integrating literature analysis,clinical practice research,and multidisciplinary experts’consensus.Focusing on the differentiated needs of patients,the study proposes a dual-track management framework of‘precise diagnosis and treatment standard’and‘humanistic care practice’,and innovatively designs a multidisciplinary collaborative mechanism,an information-based follow-up platform,and a social support network.Through the role of‘care consultant’,the programme connects the medical team with the individual needs of patients,strengthens treatment compliance and improves the quality of life,and provides a theoretical basis and practical reference for the optimization of the whole management mode of lymphoma patients. 展开更多
关键词 Lymphoma patients Holistic management Patient needs
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Corneal higher-order aberrations following small incision lenticule extraction for high myopic astigmatism correction
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作者 Yin Liu Cheng Hu +3 位作者 Juan Yu Nian Xiang Bo Zeng Wen-Shan Jiang 《International Journal of Ophthalmology(English edition)》 2025年第7期1349-1356,共8页
AIM:To compare the visual outcomes and corneal higherorder aberrations(HOAs)of patients with high or low myopic astigmatism after small incision lenticule extraction(SMILE).METHODS:A total of 157 eyes of 157 patients ... AIM:To compare the visual outcomes and corneal higherorder aberrations(HOAs)of patients with high or low myopic astigmatism after small incision lenticule extraction(SMILE).METHODS:A total of 157 eyes of 157 patients who underwent SMILE were included in this retrospective,nonrandomized,comparative study.All the eyes which were with the rule astigmatism were divided into high astigmatism group(HAG;astigmatism≤-2.00 D,73 eyes)and low astigmatism group(LAG;astigmatism≥-1.00 D,84 eyes).Visual and refractive examinations were performed,HOAs of the anterior surface,posterior surface,and total cornea of the eyes were evaluated preoperatively and 6mo postoperatively.RESULTS:At the postoperative 6-month follow-up,uncorrected distance visual acuity of 20/20 or better was achieved in 97%and 100%eyes in HAG and LAG respectively and 74%and 100%eyes were within-0.50 D.Vector analysis revealed no significant differences in the correction index(P=0.066),angle of error(P=0.091)or flattening index(P=0.987)between two groups.The magnitude of error was-0.37±0.31 D in HAG and-0.04±0.19 D in LAG(P<0.001).Index of success(IOS)was 0.22±0.09 in the HAG and 0.50±0.46 in the LAG(P<0.001).HOAs of most anterior,posterior and total cornea significantly increased after SMILE,especially the spherical aberration and coma.For HAG,the SMILE procedure induced significantly higher anterior,posterior and total cornea horizontal coma and total corneal total HOAs compared with LAG(P<0.001)and these surgically induced HOAs predominantly originated from the anterior surface of the cornea.CONCLUSION:SMILE surgery induces more HOAs and a mild under-correction of astigmatism in eyes with high astigmatism.The increment in HOAs after SMILE is related to preoperative astigmatism. 展开更多
关键词 small incision lenticule extraction high astigmatism higher-order aberrations MYOPIA
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Development and verification of the higher-order mode neutron flux calculation code HARMONY2.0
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作者 Er-Pin Zhang Zi-Ning Ni +3 位作者 Nian-Biao Deng Jin-Sen Xie Yong Liu Tao Yu 《Nuclear Science and Techniques》 2025年第1期207-225,共19页
Higher-order modes of the neutron diffusion/transport equation can be used to study the temporal behavior of nuclear reactors and can be applied in modal analysis, transient analysis, and online monitoring of the reac... Higher-order modes of the neutron diffusion/transport equation can be used to study the temporal behavior of nuclear reactors and can be applied in modal analysis, transient analysis, and online monitoring of the reactor core. Both the deterministic method and the Monte Carlo(MC) method can be used to solve the higher-order modes. However, MC method, compared to the deterministic method, faces challenges in terms of computational efficiency and α mode calculation stability, whereas the deterministic method encounters issues arising from homogenization-related geometric and energy spectra adaptation.Based on the higher-order mode diffusion calculation code HARMONY, we developed a new higher-order mode calculation code, HARMONY2.0, which retains the functionality of computing λ and α higher-order modes from HARMONY1.0, but enhances the ability to treat complex geometries and arbitrary energy spectra using the MC-deterministic hybrid two-step strategy. In HARMONY2.0, the mesh homogenized multigroup constants were obtained using OpenMC in the first step,and higher-order modes were then calculated with the mesh homogenized core diffusion model using the implicitly restarted Arnoldi method(IRAM), which was also adopted in the HARMONY1.0 code. In addition, to improve the calculation efficiency, particularly in large higher-order modes, event-driven parallelization/domain decomposition methods are embedded in the HARMONY2.0 code to accelerate the inner iteration of λ∕α mode using OpenMP. Furthermore, the higher-order modes of complex geometric models, such as Hoogenboom and ATR reactors for λ mode and the MUSE-4 experiment facility for the prompt α mode, were computed using diffusion theory. 展开更多
关键词 Neutron diffusion equation higher-order modes Global homogenization Two-step method DOMAIN
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Well-Posedness and Asymptotic Behavior of a Higher-Order Kirchhoff Equation
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作者 ZHANG Liao LI Feng-jie 《Chinese Quarterly Journal of Mathematics》 2025年第4期417-440,共24页
This paper focuses on the investigation of a hyperbolic Kirchhoff equation with nonlinear damping and higher-order dissipation terms.Initially,the existence and uniqueness of local weak solutions are rigorously establ... This paper focuses on the investigation of a hyperbolic Kirchhoff equation with nonlinear damping and higher-order dissipation terms.Initially,the existence and uniqueness of local weak solutions are rigorously established.Next,within the framework of potential well theory,the classification of solution behaviors,including blow-up and global existence,is systematically analyzed according to the relationships among the exponents of nonlinear source terms.Finally,explicit bounds for the blow-up time and decay estimates for global solutions are presented. 展开更多
关键词 higher-order dissipation Kirchhoff equation BLOW-UP Blow-up time Decay estimate
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Riemann-Hilbert approach to the higher-order Kaup-Newell equation on the half line
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作者 Hui Yu Ning Zhang 《Chinese Physics B》 2025年第3期231-243,共13页
The higher-order Kaup-Newell equation is examined by applying the Fokas unified method on the half-line.We demonstrate that the solution can be expressed in relation to the resolution of the Riemann-Hilbert problem.Th... The higher-order Kaup-Newell equation is examined by applying the Fokas unified method on the half-line.We demonstrate that the solution can be expressed in relation to the resolution of the Riemann-Hilbert problem.The jump matrix for this problem is derived from the spectral matrix,which is calculated based on both the initial conditions and the boundary conditions.The jump matrix is explicitly dependent and expressed through the spectral functions,which are derived from the initial and boundary information,respectively.These spectral functions are interdependent and adhere to a so-called global relationship. 展开更多
关键词 higher-order Kaup-Newell equation Fokas unified method Riemann-Hilbert problem
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Exact boundary controllability for the periodic higher-order KdV type equations
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作者 JIN Yanpeng FU Ying 《纯粹数学与应用数学》 2025年第3期413-421,共9页
In this paper,the exact boundary controllability of the higher-order KdVtype equation on torus is studied.That is,given the initial and final states in the appropriate space,by adding the appropriate control function ... In this paper,the exact boundary controllability of the higher-order KdVtype equation on torus is studied.That is,given the initial and final states in the appropriate space,by adding the appropriate control function on the boundary,the solution of the system can transition from the initial state to the specified final value.Firstly,we establish the observability inequality for the higher-order KdV-type equation by Ingham inequality.Then,based on the observability inequality,Hilbert uniqueness method and a integral identity we obtain the exact boundary controllability of the higher-order KdV-type equation. 展开更多
关键词 higher-order KdV equation OBSERVABILITY exact boundary controllability
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Teacher support and adolescents’ personal growth initiative: The mediating role of basic psychological needs satisfaction
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作者 Xi Chen QingWang +1 位作者 Xiaoxiao Hong Wanru Lin 《Journal of Psychology in Africa》 2025年第1期37-42,共6页
This study investigated the mediating role of basic psychological needs satisfaction in relationship between teacher support and adolescents’personal growth initiative.A total of 493 adolescents(females=44.8%,mean ag... This study investigated the mediating role of basic psychological needs satisfaction in relationship between teacher support and adolescents’personal growth initiative.A total of 493 adolescents(females=44.8%,mean age=12.46,SD=0.57)completed the Teacher Support Scale,the Adolescents’Personal Growth Initiative Scale,and the Basic Psychological Needs Scale.The results,analyzed through a Mediation model analysis results indicated higher teacher support to be significantly associated with higher adolescents’personal growth initiative.Teacher support was also associated with higher basic psychological needs satisfaction.Basic psychological needs satisfaction mediated the relationship between teacher support and adolescents’personal growth initiative for higher personal growth initiative.Thus,enhancing students’perceptions of teacher support would support the student’s sense of proactive and resilient growth with basic psychological needs satisfaction. 展开更多
关键词 teacher support personal growth initiative basic psychological needs adolescents
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A Qualitative Study on the Self-Management Experiences and Outpatient Nursing Needs of Intestinal Stoma Patients During the Post- Discharge Transition Period
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作者 Yueqing Ren Ye Li +2 位作者 Baoling Zhou Yuqing Wang Yunfen Sun 《Journal of Clinical and Nursing Research》 2025年第11期165-171,共7页
Objective:To explore the self-management experiences and outpatient nursing needs of intestinal stoma patients during the post-discharge transition period,in order to provide a basis for scientific decision-making in ... Objective:To explore the self-management experiences and outpatient nursing needs of intestinal stoma patients during the post-discharge transition period,in order to provide a basis for scientific decision-making in patient self-care and improvements in specialized stoma outpatient services.Methods:Using purposive sampling,13 colorectal cancer patients in the post-discharge transition period who had undergone intestinal stoma surgery were selected from a tertiary hospital in Shandong Province between November 2024 and March 2025.Semi-structured interviews were conducted,and data were analyzed using Colaizzi’s seven-step method to extract themes.Results:Three core themes were identified:challenges in self-management during the transition period,outpatient nursing needs during the transition period,and gaps in doctor-patient information continuity.Conclusion:Future efforts should focus on high-risk groups of stoma patients during the transition period by building intelligent and systematic outpatient guidance and support systems to improve their quality of life. 展开更多
关键词 Transition period ENTEROSTOMY Self-management experience Outpatient care needs Qualitative research
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Chinese L2 Learning Needs of MBBS Students:Influencing Factors and Strategies for Deep Learning
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作者 TIAN Jing XU Bo 《Journal of Literature and Art Studies》 2025年第11期829-836,共8页
This study examines the language learning needs and influencing factors of international MBBS students in China, to promote deep learning. Despite compulsory Chinese requirements (Level 4 HSK), a non-immersive environ... This study examines the language learning needs and influencing factors of international MBBS students in China, to promote deep learning. Despite compulsory Chinese requirements (Level 4 HSK), a non-immersive environment often leads to motivation issues. Findings reveal that students perceive their needs as phased, homogeneous yet diverse, and not universal. Daily and professional communication demands, positive teacher-student relationships, and successful language application drive deep learning. Key strategies are proposed, including enhancing teacher quality, developing structured materials that bridge general and medical Chinese, implementing scenario-based teaching that prioritizes speaking/listening, and optimizing the curriculum for continuous exposure and a balanced workload. The ultimate goal is to cultivate competent communicators for medical practice and daily life in China. 展开更多
关键词 MBBS students Chinese language learning needs analysis deep learning teaching strategies
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Basic psychological needs satisfaction mediation of the relationship between kindergarten error management climate and creative teaching
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作者 Jing Wang Ping Li 《Journal of Psychology in Africa》 2025年第2期167-172,共6页
The present study aimed to examine the association between kindergarten error management climate and creative teaching and the mediating role of basic psychological needs satisfaction.A sample of 561 Chinese kindergar... The present study aimed to examine the association between kindergarten error management climate and creative teaching and the mediating role of basic psychological needs satisfaction.A sample of 561 Chinese kindergarten teachers(females=98%,M_(age)=34.32,SD=1.25)completed self-reported questionnaires on their work error management atmosphere,basic psychological needs satisfaction,and innovative teaching.The results structural equation modelling path analysis showed that high kindergarten error management climate was associated with higher innovative teaching.Moreover,the need for competence,but not the need for relatedness accounted for kindergarten error management atmosphere related to the teachers’innovative teaching.These results clarify the role of self-perceived competencies in the relationship between kindergarten teacher error management climate and creative teaching prospects important for teacher development and supervision. 展开更多
关键词 error management climate creative teaching basic psychological needs satisfaction kindergarten teachers
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Symmetry of traveling wave solutions for a Camassa–Holm type equation with higher-order nonlinearity
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作者 Wenguang Cheng Ji Lin 《Communications in Theoretical Physics》 2025年第7期14-18,共5页
We are concerned with a Camassa-Holm type equation with higher-order nonlinearity including some integrable peakon models such as the Camassa-Holm equation,the Degasperis-Procesi equation,and the Novikov equation.We s... We are concerned with a Camassa-Holm type equation with higher-order nonlinearity including some integrable peakon models such as the Camassa-Holm equation,the Degasperis-Procesi equation,and the Novikov equation.We show that all the horizontal symmetric waves for this equation must be traveling waves.This extends the previous results for the Camassa-Holm and Novikov equations. 展开更多
关键词 Camassa-Holm type equation with higher-order nonlinearity traveling waves weak solutions
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Higher-order topology in twisted multilayer systems:A review
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作者 Chunbo Hua Dong-Hui Xu 《Chinese Physics B》 2025年第3期2-10,共9页
In recent years,there has been a surge of interest in higher-order topological phases(HOTPs)across various disciplines within the field of physics.These unique phases are characterized by their ability to harbor topol... In recent years,there has been a surge of interest in higher-order topological phases(HOTPs)across various disciplines within the field of physics.These unique phases are characterized by their ability to harbor topological protected boundary states at lower-dimensional boundaries,a distinguishing feature that sets them apart from conventional topological phases and is attributed to the higher-order bulk-boundary correspondence.Two-dimensional(2D)twisted systems offer an optimal platform for investigating HOTPs,owing to their strong controllability and experimental feasibility.Here,we provide a comprehensive overview of the latest research advancements on HOTPs in 2D twisted multilayer systems.We will mainly review the HOTPs in electronic,magnonic,acoustic,photonic and mechanical twisted systems,and finally provide a perspective of this topic. 展开更多
关键词 higher-order topology twisted multilayer systems van der Waals materials corner states
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