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Composite anti-disturbance predictive control of unmanned systems with time-delay using multi-dimensional Taylor network 被引量:1
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作者 Chenlong LI Wenshuo LI Zejun ZHANG 《Chinese Journal of Aeronautics》 2025年第7期589-600,共12页
A composite anti-disturbance predictive control strategy employing a Multi-dimensional Taylor Network(MTN)is presented for unmanned systems subject to time-delay and multi-source disturbances.First,the multi-source di... A composite anti-disturbance predictive control strategy employing a Multi-dimensional Taylor Network(MTN)is presented for unmanned systems subject to time-delay and multi-source disturbances.First,the multi-source disturbances are addressed according to their specific characteristics as follows:(A)an MTN data-driven model,which is used for uncertainty description,is designed accompanied with the mechanism model to represent the unmanned systems;(B)an adaptive MTN filter is used to remove the influence of the internal disturbance;(C)an MTN disturbance observer is constructed to estimate and compensate for the influence of the external disturbance;(D)the Extended Kalman Filter(EKF)algorithm is utilized as the learning mechanism for MTNs.Second,to address the time-delay effect,a recursiveτstep-ahead MTN predictive model is designed utilizing recursive technology,aiming to mitigate the impact of time-delay,and the EKF algorithm is employed as its learning mechanism.Then,the MTN predictive control law is designed based on the quadratic performance index.By implementing the proposed composite controller to unmanned systems,simultaneous feedforward compensation and feedback suppression to the multi-source disturbances are conducted.Finally,the convergence of the MTN and the stability of the closed-loop system are established utilizing the Lyapunov theorem.Two exemplary applications of unmanned systems involving unmanned vehicle and rigid spacecraft are presented to validate the effectiveness of the proposed approach. 展开更多
关键词 multi-dimensional Taylor network Composite anti-disturbance Predictive control Unmanned systems Multi-source disturbances TIME-DELAY
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A Study on the Impact of Filial Piety Values of Caregivers of Patients with Chronic Heart Failure on Their Caregiving Burden 被引量:1
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作者 Rongping Yin Kaixuan Sun +1 位作者 Dandan Chen Liming Zhang 《Journal of Clinical and Nursing Research》 2025年第2期46-55,共10页
Objective:To analyze the burden of caregivers of CHF patients in the current environment,to explore the related burden and influencing factors of caring for patients with chronic heart failure,and to explore the impac... Objective:To analyze the burden of caregivers of CHF patients in the current environment,to explore the related burden and influencing factors of caring for patients with chronic heart failure,and to explore the impact of filial piety values on the burden of caring for patients.Methods:192 caregivers of CHF patients in the hospital were selected as the main objects of this study.The main method was convenient sampling.Through a questionnaire survey of 192 CHF patients'caregivers,a unified investigation was conducted from the aspects of patient"'s general condition,objective burden,anxiety and depression degree and relationship quality,etc.The structural equation model was constructed and adjusted by analyzing data entry and variable correlation.Finally,path analysis was used to conduct inferential research on the direct and indirect influencing factors of control burden.Results:More than half of the patients'caregivers had a caregiving burden,and the practical caregiving dimension had the highest score.The total effect values of patient-related factors,including anxiety degree,number of concomitant diseases and half-year readmission rate,were 0.36,0.31 and 0.20,respectively(P<0.05).The total effect values of filial piety,anxiety degree,average care time and understanding degree of disease directly derived from the caregivers themselves were-0.38,0.29,0.29 and-0.23,respectively(P<0.05).In addition,the influence of filial piety values on the caregiver burden was more obvious,and the direct effect value of the value was-0.41(P<0.001).Conclusion:Most caregivers of CHF patients have a certain objective burden of care,and there are many factors that affect it,among which the degree of filial piety value is the most important.This finding provides a clear goal for caregivers to develop measures to improve the caregiver burden. 展开更多
关键词 Chronic heart failure values of filial piety Caring burden Influencing factors
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Quantifying the impacts of land use/land cover changes on ecosystem service values in the upper Gilgel Abbay watershed,Ethiopia 被引量:1
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作者 Wassie Abuhay ASCHENEFE Temesgen Gashaw TAREKEGN +1 位作者 Betelhem Fetene ADMAS Solomon Mulu TAFERE 《Regional Sustainability》 2025年第1期63-74,共12页
Human well-being and livelihoods depend on natural ecosystem services(ESs).Following the increment of population,ESs have been deteriorated over time.Ultimately,land use/land cover(LULC)changes have a profound impact ... Human well-being and livelihoods depend on natural ecosystem services(ESs).Following the increment of population,ESs have been deteriorated over time.Ultimately,land use/land cover(LULC)changes have a profound impact on the change of ecosystem.The primary goal of this study is to determine the impacts of LULC changes on ecosystem service values(ESVs)in the upper Gilgel Abbay watershed,Ethiopia.Changes in LULC types were studied using three Landsat images representing 1986,2003,and 2021.The Landsat images were classified using a supervised image classification technique in Earth Resources Data Analysis System(ERDAS)Imagine 2014.We classified ESs in this study into four categories(including provisioning,regulating,supporting,and cultural services)based on global ES classification scheme.The adjusted ESV coefficient benefit approach was employed to measure the impacts of LULC changes on ESVs.Five LULC types were identified in this study,including cultivated land,forest,shrubland,grassland,and water body.The result revealed that the area of cultivated land accounted for 64.50%,71.50%,and 61.50%of the total area in 1986,2003,and 2021,respectively.The percentage of the total area covered by forest was 9.50%,5.90%,and 14.80%in 1986,2003,and 2021,respectively.Result revealed that the total ESV decreased from 7.42×10^(7) to 6.44×10^(7) USD between 1986 and 2003.This is due to the expansion of cultivated land at the expense of forest and shrubland.However,the total ESV increased from 6.44×10^(7) to 7.76×10^(7) USD during 2003-2021,because of the increment of forest and shrubland.The expansion of cultivated land and the reductions of forest and shrubland reduced most individual ESs during 1986-2003.Nevertheless,the increase in forest and shrubland at the expense of cultivated land enhanced many ESs during 2003-2021.Therefore,the findings suggest that appropriate land use practices should be scaled-up to sustainably maintain ESs. 展开更多
关键词 Ecosystem service values(ESVs) Land use/land cover(LULC) Ecosystem services(ESs) Provisioning service Gilgel Abbay watershed
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Retraced Multi-dimensional Chinese Logic System behind Chinese Medicine
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作者 Edwin C.L.Yu 《Chinese Medicine and Culture》 2025年第1期1-12,共12页
The ancient tacit knowledge behind the logic system permeated the culture and promoted numerous impactful inventions throughout the history. Traditional Chinese medicine with its effectiveness should also have stemmed... The ancient tacit knowledge behind the logic system permeated the culture and promoted numerous impactful inventions throughout the history. Traditional Chinese medicine with its effectiveness should also have stemmed out from such logic system. This article aims to rearticulate the underlying lucid multi-dimensional logic system, which faded in obscurity only because of time-out loss of the mid-right concept. Retracing this past tacit but important concept could uncover a multi-dimensional system over a point relating to all matters while capturing the central core of the matter. The seemingly unmanageable multidimensional logic was strengthened by verification processes which affirmed its further extensions, and made up the language of the people, the concepts of yin-yang(阴阳), and the development of extensions of Ba Gua(八卦) derivatives, which furthered the interpretation of the space-time properties and Chinese medicine. 展开更多
关键词 multi-dimensional logic system Traditional Chinese medicine YIN-YANG
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Effective stress dissipation by multi-dimensional architecture engineering for ultrafast and ultralong sodium storage
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作者 Man Zhang Jing Zhu +7 位作者 Qianqian Li Fenghua Zheng Sijiang Hu Youguo Huang Hongqiang Wang Xing Ou Qichang Pan Qingyu Li 《Journal of Energy Chemistry》 2025年第2期619-629,I0013,共12页
Stress accumulation is a key factor leading to sodium storage performance deterioration for NiSe_(2)-based anodes.Therefore,inhibiting the concentrated local stress during the sodiataion/desodiation process is crucial... Stress accumulation is a key factor leading to sodium storage performance deterioration for NiSe_(2)-based anodes.Therefore,inhibiting the concentrated local stress during the sodiataion/desodiation process is crucial for acquiring stable NiSe2-based materials for sodium-ion batteries(SIBs),Herein,a stress dissipation strategy driven by architecture engineering is proposed,which can achieve ultrafast and ultralong sodium storage properties.Different from the conventional sphere-like or rod-like architecture,the three-dimensional(3D)flower-like NiSe_(2)@C composite is delicately designed and assembled with onedimensional nanorods and carbon framework.More importantly,the fundamental mechanism of improved structure stability is unveiled by simulations and experimental results simultaneously.It demonstrates that this designed multidimensional flower-like architecture with dispersed nanorods can balance the structural mismatch,avoid concentrated local strain,and relax the internal stress,mainly induced by the unavoidable volume variation during the repeated conversion processes.Moreover,it can provide more Na^(+)-storage sites and multi-directional migration pathways,leading to a fast Na^(+)-migration channel with boosted reaction kinetic.As expected,it delivers superior rate performance(441 mA h g^(-1)at 5.0 A g^(-1))and long cycling stability(563 mA h g^(-1)at 1.0 A g^(-1)over 1000 cycles)for SIBs.This work provides useful insights for designing high-performance conversion-based anode materials for SIBs. 展开更多
关键词 Stress dissipation multi-dimensional architecture Structure engineering Conversion-based anodes Sodium-ion batteries
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Construction of Integrated Education Model in Rural Communities:Research on Resource Aggregation and Multi-dimensional Linkage Path
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作者 Xianfei Ke 《New Horizon of Education》 2025年第1期48-61,共14页
This study focuses on the main problems encountered by rural community education and explores the main problems in key aspects such as resource integration and allocation,multi-party collaboration and sustainable deve... This study focuses on the main problems encountered by rural community education and explores the main problems in key aspects such as resource integration and allocation,multi-party collaboration and sustainable development through empirical analysis according to the theoretical framework of integrated education.The study finds that from the three dimensions of integration subject,integrated curriculum and integration mode,an integrated education system should be created on the basis of community,the social support system should be improved,the implementation of the rural revitalization strategy should be promoted,and the goal of talent training should be realized. 展开更多
关键词 Rural Community Education Integrated Education Resource Aggregation multi-dimensional Linkage
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Research on Multi-Dimensional Collaborative Strategies in Design Management,Investment Management,and Beyond from the Perspective of Whole-Process Engineering Consulting
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作者 Zexin Chen 《Journal of Architectural Research and Development》 2025年第5期21-28,共8页
This paper explores whole-process engineering consulting,including its application models in public buildings and elderly-friendly projects,such as service integration and whole lifecycle management.It also addresses ... This paper explores whole-process engineering consulting,including its application models in public buildings and elderly-friendly projects,such as service integration and whole lifecycle management.It also addresses the construction of multi-dimensional collaborative theoretical models,public space streamline organization,and other aspects,emphasizing the importance of multi-dimensional collaboration.Additionally,it highlights the role of talent cultivation and digital transformation in enhancing project efficiency. 展开更多
关键词 Whole-process engineering consulting multi-dimensional collaboration Project efficiency
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Practical Application of the Multi-Dimensional Interactive Teaching Model in College English
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作者 Bo Sun 《Journal of Contemporary Educational Research》 2025年第10期106-111,共6页
The multi-dimensional interactive teaching model significantly enhances the effectiveness of college English instruction by emphasizing dynamic engagement between teachers and students,as well as among students themse... The multi-dimensional interactive teaching model significantly enhances the effectiveness of college English instruction by emphasizing dynamic engagement between teachers and students,as well as among students themselves.This paper explores practical strategies for implementing this model,focusing on four key aspects:deepening teachers’understanding of the model through continuous learning,innovating interactive methods such as questioning techniques and practical activities,leveraging modern technology to integrate resources and track learning progress,and establishing a communication platform that centers on student participation.By adopting these approaches,the model fosters a student-centered classroom environment,improves comprehensive English application skills,and optimizes overall teaching quality. 展开更多
关键词 multi-dimensional interactive teaching model Student-centered approach Teacher-student interaction
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Construction of the Practice System of Landscape Architecture Major Based on“Multi-dimensional Integration”
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作者 LI Yinan DING Juan +4 位作者 ZHU Yan WU Jing ZHAO Zhiyan LI Jie XIANG Cheng 《Journal of Landscape Research》 2025年第3期89-92,共4页
During the critical transformation period of landscape architecture major after the adjustment of disciplinary structure and the changes in market demand,private colleges and universities,as important places for culti... During the critical transformation period of landscape architecture major after the adjustment of disciplinary structure and the changes in market demand,private colleges and universities,as important places for cultivating local talents,have pain points such as uneven quality of teachers and students and weak innovation and practice.The practice system with“multi-dimensional Integration”integrates four dimensions:interdisciplinary integration,spatial and temporal intersection,historical inheritance,and behavioral activity,deepens the disciplinary connotation,and integrates the three elements of nature,humanity,and technology,aiming to provide a new path for private colleges and universities to cultivate application-oriented and compound talents with innovative capabilities.In terms of optimizing talent cultivation and adapting to industry changes,this system provides thinking and reference for landscape architecture major,helping the major reshape its core competitiveness and promoting educational innovation and industry development. 展开更多
关键词 Landscape architecture Practice system multi-dimensional integration”model Talent cultivation Teaching reform
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Reliability of multi-dimensional network systems with nodes having stochastic connection ranges
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作者 FU Yuqiang MA Xiaoyang ZHAO Fei 《Journal of Systems Engineering and Electronics》 2025年第4期1017-1023,共7页
This paper proposes a reliability evaluation model for a multi-dimensional network system,which has potential to be applied to the internet of things or other practical networks.A multi-dimensional network system with... This paper proposes a reliability evaluation model for a multi-dimensional network system,which has potential to be applied to the internet of things or other practical networks.A multi-dimensional network system with one source element and multiple sink elements is considered first.Each element can con-nect with other elements within a stochastic connection ranges.The system is regarded as successful as long as the source ele-ment remains connected with all sink elements.An importance measure is proposed to evaluate the performance of non-source elements.Furthermore,to calculate the system reliability and the element importance measure,a multi-valued decision diagram based approach is structured and its complexity is analyzed.Finally,a numerical example about the signal transfer station system is illustrated to analyze the system reliability and the ele-ment importance measure. 展开更多
关键词 multi-dimensional network multi-valued decision diagram stochastic connection range reliability analysis impor-tance measure.
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Ecological Actions to Carry Forward the Shared Values of Mankind
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《International Understanding》 2025年第2期26-27,共2页
On the morning of May 31st,the parallel forum"Ecological Actions to Carry Forward the Shared Values of Mankind,"as part of the 4th Dialogue on Exchanges and Mutual Learning among Civilisations,was held in Du... On the morning of May 31st,the parallel forum"Ecological Actions to Carry Forward the Shared Values of Mankind,"as part of the 4th Dialogue on Exchanges and Mutual Learning among Civilisations,was held in Dunhuang.More than 50 experts and scholars from different countries,including China,Kenya and Japan,engaged in indepth discussions on the theme. 展开更多
关键词 ecological actions shared values DIALOGUE EXCHANGES civilisations exchanges mutual learning SCHOLARS parallel forumecological actions carry forward shared values
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Values motivating water governance in Delhi
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作者 Ashok Kumar Beenish Mushtaq +1 位作者 Rabidyuti Biswas Cat Button 《River》 2025年第2期205-222,共18页
Values of individuals and organizations involved in decision-making processes form the basis for prioritizing outcomes in water governance.The novelty of this study lies in applying values to a specific decision-makin... Values of individuals and organizations involved in decision-making processes form the basis for prioritizing outcomes in water governance.The novelty of this study lies in applying values to a specific decision-making context.It aims to assess the prioritized water governance outcomes and the underlying value systems shaping the actions of the primary water utility responsible for water governance in Delhi,the Delhi Jal Board(DJB).The paper will critically examine the policies and acts of the DJB that drive water governance in Delhi at present,utilizing a values-based framework in conjunction with secondary literature and expert interviews,to draw a picture of the values reflected.The study does not substantiate the notion of economic values dominating the water-related deci-sions;rather,recent policy guidelines indicate prioritization of equitable and fair distribution of water.Findings of this paper show that making the values explicit is largely disregarded in formulating water acts and policies,and values are never elucidated in the public domain,doing which can encourage water policies and practices that are socially,economically,and ecologically viable in the long run.It is expected that this paper will generate a discussion on water values being an integral part of water governance discourses. 展开更多
关键词 Delhi Jal Board effective water governance ethical water governance governance values sustainable water governance water governance water values
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Multi-dimensional hydrogen bonds regulated emissions of single-molecule system enabling surficial hydrophobicity/hydrophilicity mapping
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作者 Hao Gu Rui Li +6 位作者 Qiuying Li Sheng Lu Yahui Chen Xiaoning Yang Huili Ma Zhijun Xu Xiaoqiang Chen 《Chinese Chemical Letters》 2025年第5期515-520,共6页
Constructing multi-dimensional hydrogen bond(H-bond)regulated single-molecule systems with multiemission remains a challenge.Herein,we report the design of a new excited-state intramolecular proton transfer(ESIPT)feat... Constructing multi-dimensional hydrogen bond(H-bond)regulated single-molecule systems with multiemission remains a challenge.Herein,we report the design of a new excited-state intramolecular proton transfer(ESIPT)featured chromophore(HBT-DPI)that shows flexible emission tunability via the multidimensional regulation of intra-and intermolecular H-bonds.The feature of switchable intramolecular Hbonds is induced via incorporating several hydrogen bond acceptors and donors into one single HBT-DPI molecule,allowing the“turn on/off”of ESIPT process by forming isomers with distinct intramolecular Hbonds configurations.In response to different external H-bonding environments,the obtained four types of crystal/cocrystals vary in the contents of isomers and the molecular packing modes,which are mainly guided by the intermolecular H-bonds,exhibiting non-emissive features or emissions ranging from green to orange.Utilizing the feature of intermolecular H-bond guided molecular packing,we demonstrate the utility of this fluorescent material for visualizing hydrophobic/hydrophilic areas on large-scale heterogeneous surfaces of modified poly(1,1-difluoroethylene)(PVDF)membranes and quantitatively estimating the surface hydrophobicity,providing a new approach for hydrophobicity/hydrophilicity monitoring and measurement.Overall,this study represents a new design strategy for constructing multi-dimensional hydrogen bond regulated ESIPT-based fluorescent materials that enable multiple emissions and unique applications. 展开更多
关键词 multi-dimensional hydrogen bonds Emission regulation Hydrophobicity/hydrophilicity Surficial mapping Excited-state intramolecular proton transfer
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Strengthening the Judicial Foundations of Shared Values of Mankind
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《International Understanding》 2025年第2期20-21,共2页
On the afternoon of May 3Oth,the parallel forum"Strengthening the Judicial Foundations of Shared Values of Mankind,"as a component of the 4th Dialogue on Exchanges and Mutual Learning among Civilisations,was... On the afternoon of May 3Oth,the parallel forum"Strengthening the Judicial Foundations of Shared Values of Mankind,"as a component of the 4th Dialogue on Exchanges and Mutual Learning among Civilisations,was held in Dunhuang.More than 50 experts and scholars from nine countries,including China,Germany and the United Kingdom,engaged in in-depth discussions on the topic. 展开更多
关键词 mutual learning parallel forumstrengthening judicial foundations shared values shared values parallel forum EXCHANGES exchanges mutual learning th dialogue mankind
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The Core Values of Harmonious Philosophy:Implications on International Ethics
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作者 ZHANG Lihua 《International Relations and Diplomacy》 2025年第5期240-256,共17页
This paper mainly explores the ideological roots of conflicts and wars in the international community.From a human-nature perspective,it analyzes how five negative aspects of human nature:greed,hatred,obsession,arroga... This paper mainly explores the ideological roots of conflicts and wars in the international community.From a human-nature perspective,it analyzes how five negative aspects of human nature:greed,hatred,obsession,arrogance,and suspicion,influence the foreign policies and behaviors of state leaders,resulting in international conflicts and wars.It expounds on the fundamental connotations of the core values of traditional Chinese ideology of harmony:benevolence(ren),righteousness(yi),propriety(li),wisdom(zhi),and trustworthiness(xin).Furthermore,it examines their implications for contemporary international ethics.The paper further discusses new thoughts on promoting the good in human nature and mitigating its negative tendencies within international relations,with the aim of preventing global conflicts and wars. 展开更多
关键词 harmonious philosophy core values international ethics IMPLICATIONS
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On the Extremal Values of the Sombor Index for Halin Graphs
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作者 LI Yunping TANG Zikai 《数学理论与应用》 2025年第3期66-80,共15页
Let G be a simple connected graph with vertex set V(G)and edge set E(G).Then the Sombor index of graph G is defined as SO(G)=Σ_(uv∈E(G))√d^(2)(u)+d^(2)(v),where d(u)denotes the degree of vertex u.In this paper,the ... Let G be a simple connected graph with vertex set V(G)and edge set E(G).Then the Sombor index of graph G is defined as SO(G)=Σ_(uv∈E(G))√d^(2)(u)+d^(2)(v),where d(u)denotes the degree of vertex u.In this paper,the maximum and minimum values of the Sombor index for Halin graphs are obtained,and the corresponding extremal graphs are characterized. 展开更多
关键词 Halin graph Sombor index Extreme value
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Modelling and prediction of toluene adsorption saturation basing on characteristic values of activated carbons
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作者 Quanli Ke Yedong Xiong +9 位作者 Mei Lu Kangkang Huang Yiting Guo Jiong Min Chuanmin Jin Zhenyu Gu Guokai Cui Xiaole Weng Bingzhi Yi Hanfeng Lu 《Journal of Environmental Sciences》 2025年第6期302-312,共11页
Herein,the association between the dynamic adsorption capacity of toluene and several important characteristic values on activated carbon(AC)samples was investigated by multidimensional linear regression.Among the cha... Herein,the association between the dynamic adsorption capacity of toluene and several important characteristic values on activated carbon(AC)samples was investigated by multidimensional linear regression.Among the characteristic values,the carbon tetrachloride(CTC)adsorption value has demonstrated relatively stronger correlation with the toluene adsorption capacity on AC sampleswith diverse sources and forms,particularly in exposure to high-concentration toluene.Notably,the relevance of the toluene adsorption capacity to the CTC value could also be extended to a series of other porous adsorbents,which proved the wide applicability of CTC value in characterizing the adsorption behaviors.Based on these results,a mathematical and visual model was then established to predict the toluene adsorption saturation under different conditions(inlet concentration,adsorption time,initial CTC value,etc.)on diverse AC samples,of which the accuracy has later been verified by experimental data.As such,a fast and accurate estimation of the adsorption behaviors over AC samples,and possibly other porous adsorbents,was realized. 展开更多
关键词 Activated carbon ADSORPTION Characteristic values Toluene saturation MODELLING
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How Labor Values Affect Adolescent Resilience?——Analysis Based on the Perspective of Emotion Regulation Theory
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作者 Xiaomei Chao Zhuo Yang Yanhui Xiang 《International Journal of Mental Health Promotion》 2025年第4期577-590,共14页
Background:Understanding the factors that influence adolescent psychological resilience is critical for promoting mental health.This study explores the impact and mechanism of labor values on adolescent psychological ... Background:Understanding the factors that influence adolescent psychological resilience is critical for promoting mental health.This study explores the impact and mechanism of labor values on adolescent psychological resilience from the perspective of emotion regulation theory.Methods:This study conducted an in-depth analysis using the Labor Value Scale on 2691 elementary school upper-grade students,middle school students,and high school students.Results:The results show that:(1)labor values can positively predict adolescents’mental resilience;(2)cognitive reappraisal and expression inhibition play a partial mediating role in the relationship between labor values and adolescents’psychological resilience.Among them,labor values can positively predict adolescents’mental resilience through positive cognitive reappraisal,and labor values can also predict adolescents’mental resilience through expression inhibition.Conclusion:Based on the theory of emotion regulation,this study explores the direct effect of labor values on mental resilience and the mediating effect of different strategies of emotion regulation.The results of this study provide a theoretical basis for improving the mental resilience of adolescents. 展开更多
关键词 ADOLESCENT labor values RESILIENCE emotional regulation structural equation model
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Uniqueness Results for Meromorphic Functions Involving Differential-Difference Polynomials and Shared Values
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作者 Hongyan XU Rana MONDAL Imrul KAISH 《Journal of Mathematical Research with Applications》 2025年第3期304-328,共25页
Throughout this work,we explore the uniqueness properties of meromorphic functions concerning their interactions with complex differential-difference polynomial.Under the condition of finite order,we establish three d... Throughout this work,we explore the uniqueness properties of meromorphic functions concerning their interactions with complex differential-difference polynomial.Under the condition of finite order,we establish three distinct uniqueness results for a meromorphic function f associated with the differential-difference polynomial L_(η)^(n)f=Σ_(k=0)^(n)a_(k)f (z+k_(η))+a_(-1)f′.These results lead to a refined characterization of f (z)≡L_(η)^(n)f (z).Several illustrative examples are provided to demonstrate the sharpness and precision of the results obtained in this study. 展开更多
关键词 meromorphic function differential-difference polynomials Nevanlinna theory UNIQUENESS value sharing
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