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Health expectations in patients with diabetes mellitus and the factors affecting it:an integrative systematic review
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作者 Shahrzad Ghiyasvandian Akram Sadat Sadat Hoseini +1 位作者 Mahnaz Atapour Zahra Behboodi Moghdam 《Frontiers of Nursing》 2025年第2期163-175,共13页
Objective:The aim of this study was to investigate the health expectations(HEs)in patients with diabetes and the factors affecting it using an integrative systematic review.Methods:A comprehensive literature search wa... Objective:The aim of this study was to investigate the health expectations(HEs)in patients with diabetes and the factors affecting it using an integrative systematic review.Methods:A comprehensive literature search was conducted in databases including PubMed,Scopus,Science Direct,Google Scholar,ProQuest,CINAHL,SID,Iran Doc,and Magiran without time limitation using related keywords.The systematic literature search was performed using a guide provided by York University.Results:From a total of 1883 articles,17 of them finally met the eligibility criteria.According to the findings of this study,HE of diabetic patients was included in four categories:“dynamism,”“consequentialism,”“comprehensive care,”and“access to facilities.”Also,these expectations can be influenced by various factors,including“developments in societies,”“changing the conditions of health care systems,”and“individual factors.”Conclusions:Health professionals should pay attention to the expectations of diabetic patients who are involved in complex disease conditions and consider meeting them as a key factor in providing patient-centered care,improving health outcomes,and patient satisfaction. 展开更多
关键词 DIABETES expectation HEALTH patient-centered care systematic review
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Strong Laws of Large Numbers for Sequences of Blockwise m-Dependent and Sub-Orthogonal Random Variables under Sublinear Expectations 被引量:1
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作者 Jialiang FU 《Journal of Mathematical Research with Applications》 2026年第1期103-118,共16页
In this paper,we establish some strong laws of large numbers,which are for nonindependent random variables under the framework of sublinear expectations.One of our main results is for blockwise m-dependent random vari... In this paper,we establish some strong laws of large numbers,which are for nonindependent random variables under the framework of sublinear expectations.One of our main results is for blockwise m-dependent random variables,and another is for sub-orthogonal random variables.Both extend the strong law of large numbers for independent random variables under sublinear expectations to the non-independent case. 展开更多
关键词 sublinear expectations strong law of large numbers blockwise m-dependent suborthogonal random variables
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Kinematic calibration under the expectation maximization framework for exoskeletal inertial motion capture system
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作者 QIN Weiwei GUO Wenxin +2 位作者 HU Chen LIU Gang SONG Tainian 《Journal of Systems Engineering and Electronics》 SCIE CSCD 2024年第3期769-779,共11页
This study presents a kinematic calibration method for exoskeletal inertial motion capture (EI-MoCap) system with considering the random colored noise such as gyroscopic drift.In this method, the geometric parameters ... This study presents a kinematic calibration method for exoskeletal inertial motion capture (EI-MoCap) system with considering the random colored noise such as gyroscopic drift.In this method, the geometric parameters are calibrated by the traditional calibration method at first. Then, in order to calibrate the parameters affected by the random colored noise, the expectation maximization (EM) algorithm is introduced. Through the use of geometric parameters calibrated by the traditional calibration method, the iterations under the EM framework are decreased and the efficiency of the proposed method on embedded system is improved. The performance of the proposed kinematic calibration method is compared to the traditional calibration method. Furthermore, the feasibility of the proposed method is verified on the EI-MoCap system. The simulation and experiment demonstrate that the motion capture precision is significantly improved by 16.79%and 7.16%respectively in comparison to the traditional calibration method. 展开更多
关键词 human motion capture kinematic calibration EXOSKELETON gyroscopic drift expectation maximization(EM)
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Intracerebral interplay and neurotransmitter systems involvement in animal models of neurodegenerative disorders:EEG approach expectations
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作者 Vasily Vorobyov Natalia Bobkova 《Neural Regeneration Research》 SCIE CAS CSCD 2017年第1期66-67,共2页
An imbalance between activities of different structures and neurotransmitter systems in the brain is suggested to be the main cause of its abnormal functioning in neurodegenerative pathologies.Electroencephalogram(EE... An imbalance between activities of different structures and neurotransmitter systems in the brain is suggested to be the main cause of its abnormal functioning in neurodegenerative pathologies.Electroencephalogram(EEG)registered from areas specifically linked with a disease in combination with pharmacological testing of involved mediatory systems allows discovery of its progression and mechanism(s). This, in turn, potentiates development of perspective approaches for early diagnostic and effective treatment of neurodegenerative disorders. 展开更多
关键词 registered expectations cortex hippocampus functioning involvement epilepsy neuronal frontal cortical
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Evaluating Logistics Systems in the Context of Mass Customization Based on Goal Expectation
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作者 Yun Li Zengqiang Wang 《Proceedings of Business and Economic Studies》 2024年第6期54-59,共6页
Given the complexity and uncertainty of logistics systems in a mass customization environment,decision-making teams often rely on linguistic phrases rather than quantifiable evaluation indices when selecting an evalua... Given the complexity and uncertainty of logistics systems in a mass customization environment,decision-making teams often rely on linguistic phrases rather than quantifiable evaluation indices when selecting an evaluation system.This paper proposes a logistics system evaluation method based on index goal expectation.First,linguistic phrases are processed through an integration method to derive standardized weight vectors.Next,the decision-making team establishes the expected compliance degree for each alternative,which is processed using an axiomatic design to calculate the final evaluation index for each option.The options are then ranked based on these indices to identify the most appropriate logistics system.Applying this method to a company’s logistics system selection demonstrates its effectiveness and feasibility. 展开更多
关键词 Logistics system Goal expectation Axiomatic design
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Equivalent Conditions of Complete Convergence for Weighted Sums of Sequences of i.i.d.Random Variables under Sublinear Expectations
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作者 XU Mingzhou CHENG Kun 《应用概率统计》 北大核心 2025年第3期339-352,共14页
The complete convergence for weighted sums of sequences of independent,identically distributed random variables under sublinear expectation space is studied.By moment inequality and truncation methods,we establish the... The complete convergence for weighted sums of sequences of independent,identically distributed random variables under sublinear expectation space is studied.By moment inequality and truncation methods,we establish the equivalent conditions of complete convergence for weighted sums of sequences of independent,identically distributed random variables under sublinear expectation space.The results complement the corresponding results in probability space to those for sequences of independent,identically distributed random variables under sublinear expectation space. 展开更多
关键词 complete convergence weighted sums i.i.d.random variables sublinear expectation
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Index Modulation Aided OTFS for SCMA System
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作者 He Chunlin Xiao Lixia +3 位作者 Li Shuo Liu Weidan Xiao Pei Jiang Tao 《China Communications》 2025年第8期19-28,共10页
In this paper,an index modulation(IM)aided uplink orthogonal time frequency space modulation(OTFS)structure for sparse code multiple access(SCMA)is proposed.To be more specific,the information bits are firstly partiti... In this paper,an index modulation(IM)aided uplink orthogonal time frequency space modulation(OTFS)structure for sparse code multiple access(SCMA)is proposed.To be more specific,the information bits are firstly partitioned for transmit antenna(TA)selection and sparse codeword mapping,respectively.Subsequently,the codewords deployed on the 2-dimensional(2D)delay-Doppler(DD)plane are transmitted by the selected TA,and the superimposed signals are jointly detected at the receiver.Furthermore,a low-complexity zero-embedded expectation propagation(ZE-EP)detector is conceived,where the codebooks are extended with zero vectors to reflect the silent indices.The simulation results demonstrate that the proposed IM-OTFS-SCMA system is capable of providing significant performance gain over the OTFS-SCMA counterpart. 展开更多
关键词 expectation propagation algorithm index modulation message passing algorithm OTFS SCMA
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Estimation of the probability of informed trading models via an expectation‑conditional maximization algorithm
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作者 Montasser Ghachem Oguz Ersan 《Financial Innovation》 2025年第1期1860-1896,共37页
The estimation of the probability of informed trading(PIN)model and its extensions poses significant challenges owing to various computational problems.To address these issues,we propose a novel estimation method call... The estimation of the probability of informed trading(PIN)model and its extensions poses significant challenges owing to various computational problems.To address these issues,we propose a novel estimation method called the expectation-conditional-maximization(ECM)algorithm,which can serve as an alternative to the existing methods for estimating PIN models.Our method provides optimal estimates for the original PIN model as well as two of its extensions:the multilayer PIN model and the adjusted PIN model,along with its restricted versions.Our results indicate that estimations using the ECM algorithm are generally faster,more accurate,and more memory-efficient than the standard methods used in the literature,making it a robust alternative.More importantly,the ECM algorithm is not limited to the models discussed and can be easily adapted to estimate future extensions of the PIN model. 展开更多
关键词 expectation conditional-maximization algorithm ECM PIN model MPIN Multilayer probability of informed trading Adjusted PIN model Maximum-likelihood estimation Private information Information asymmetry
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Parental cognitive ability effects on children’s logical reasoning ability:The mediating role of academic expectation and the family environment
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作者 Qing Wang Haiyan Xu Xuhuan Wang 《Journal of Psychology in Africa》 2025年第4期497-503,共7页
This study investigated the relationship between parental cognitive ability and child logical reasoning ability,and the role of academic expectation and family environment in that relationship.Based on the 2020 China ... This study investigated the relationship between parental cognitive ability and child logical reasoning ability,and the role of academic expectation and family environment in that relationship.Based on the 2020 China Family Panel Studies(CFPS)data,1491 children(girls ratio=53.78%;average grade=6.023 years,school grade standard deviation=1.825 years).Results following multiple regression model(OLS)show that the higher the parental cognitive ability,the higher the children’s logical reasoning ability.Secondly,parental academic expectation serves as a mediator between their cognitive ability and children’s logical reasoning ability for higher logical reasoning by children.Third,a possible family environment acts as a mediator in the relationship between parents’cognitive ability and children’s logical reasoning ability to be higher.We conclude from thesefindings that parents with high cognitive abilities can enhance their children’s logical reasoning skills not only by setting higher academic expectations,but also by cultivating a supportive family environment.Thesefindings imply a need for intervention to improve family quality of life to enhance children’s thinking abilities to optimize their academic learning. 展开更多
关键词 parental cognitive ability children’s logical reasoning ability academic expectation family environment intermediary role
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Leaders’ expectations of innovation and employees’ innovative behavior: The roles of employees’ expected positive performance outcomes and innovative self-efficacy
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作者 Qian Ma Hao Zhou 《Journal of Psychology in Africa》 2025年第1期7-19,共13页
Employees’innovative performance determines an organization’s innovation,which critically impacts its structural optimization and sustainability.Applying expectancy theory,we examined how and when the Pygmalion effe... Employees’innovative performance determines an organization’s innovation,which critically impacts its structural optimization and sustainability.Applying expectancy theory,we examined how and when the Pygmalion effect occurs in the relationship between leaders’expectations of innovation and employee innovative behavior.Our sample comprised 201 frontline employees(female=31.84%;mean age=41.48 years,SD=7.97 years)in a Chinese coal enterprise,who completed surveys on innovation expectations of leaders,expected positive performance outcomes,innovative self-efficacy and innovative behavior.The results revealed that employees’expected positive performance outcomes mediated the positive relationship between leaders’innovation expectations and their innovative behavior.Employees’innovative self-efficacy positively moderated the relationship between their expected positive performance outcomes and innovative behavior,with this relationship being stronger for employees with high innovative self-efficacy.Moreover,we validated the moderated mediation model.Findings suggest that leaders can stimulate employee innovative behavior through expressing expectations and they also need to consider the boundary conditions. 展开更多
关键词 expectations of innovation expected positive performance outcomes innovative behavior innovative self-efficacy organizational innovation
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The learning expectations of undergraduate nursing students for the flipped Health Assessment course:A qualitative study
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作者 Yixin Luo Jingjing You +4 位作者 Yimin Chen Meijing Chen Jiayuan Zhuang Fangli Xu Rong Hu* 《International Journal of Nursing Sciences》 2025年第5期485-492,I0004,共9页
Objective:This study aimed to investigate the learning expectations of undergraduate nursing students regarding the flipped Health Assessment course.Methods:This descriptive,qualitative study was conducted at a medica... Objective:This study aimed to investigate the learning expectations of undergraduate nursing students regarding the flipped Health Assessment course.Methods:This descriptive,qualitative study was conducted at a medical university in Fuzhou,Fujian Province,China.An interview outline was designed based on the core dimensions of Expectation Confirmation Theory(expectation sources,expectation content,and expectation importance).Thirty second-year undergraduate nursing students who had completed first-year basic medical courses and were about to take the flipped Health Assessment course were interviewed between June and July 2022.Interview data were analyzed using qualitative content analysis.Results:Five major themes and thirteen subthemes were identified.Theme 1 was expectation sourcesperceived learning difficulties from past experiences,which included four subthemes:insufficient autonomous learning ability,confusion regarding learning methods,insufficient engagement in learning,and low professional identity.Theme 2 included knowledge and information expectations,which comprised three subthemes:knowledge to improve professional competence,knowledge to enhance academic competitiveness,and knowledge to boost self-efficacy.Theme 3 comprised logical expectations and included two subthemes:flexible teaching methods and efficient instructional tools.Theme 4,pleasure expectations,included two subthemes:vivid teaching styles and diversified teaching evaluations.Theme 5 comprised professional value expectations and included two subthemes:teachers'responsible professional attitudes and gentle emotional support.Conclusion:Students'learning expectations originate from perceived learning difficulties,such as insufficient learning autonomy and engagement,confusion about learning methods,and a lack of professional identity.They showed various learning expectations for the flipped Health Assessment course,including knowledge and information,logic,pleasure,and professional value expectations. 展开更多
关键词 Flipped course Health assessment Learning expectations Nursing education Nursing students Qualitative research
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The Relationship between Parents’ Expectations and Career Adaptability of Primary School Students: The Mediating Effect of Proactive Personality
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作者 Yizhuo Feng Shixiang Liu 《Journal of Psychological Research》 2025年第1期1-8,共8页
With the development and changes of society and the further iteration and renewal of parents’concepts,the importance and influence of future career planning of primary school students have become increasingly promine... With the development and changes of society and the further iteration and renewal of parents’concepts,the importance and influence of future career planning of primary school students have become increasingly prominent.Parental expectation is a very important part of influencing proactive personality,and it is also an important part of improving career adaptability,personal quality and comprehensive ability.This study explores the relationship between parents’expectation,proactive personality and career adaptability of primary school students.This paper deeply analyzes the influence of proactive personality on career adaptability,so as to provide theoretical support for improving the career adaptability of primary school students.In this study,the Chinese version of“Career Resilience”,“Parental Expectation Questionnaire”and“Proactive Personality Measurement”(PPS)were used as research tools to conduct psychological measurement on 287 students in grade 5 and 6 of a primary school in Beijing.SPSS29.0 and Process statistical software were used to explore the status quo and relationship of proactive personality,parents’expectation and career adaptability of primary school students.The conclusions of this study are as follows:(1)The correlation analysis results between parental expectation and proactive personality are significant,and there is a significant positive correlation.(2)The correlation analysis results between parents’expectations and career adaptability are significant,and there is a significant positive correlation.(3)The correlation analysis results between career adaptability and proactive personality were significant,showing a significant positive correlation.(4)Both parents’expectation and proactive personality have significant direct and positive effects on career adaptability,and proactive personality plays a partial mediating role between parents’expectation and career adaptability. 展开更多
关键词 Primary School Students Parental expectations Proactive Personality Career Adaptability Mediating Effect
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Complete q-Order Moment Convergence of Moving Average Processes Generated by Negatively Dependent Random Variables under Sub-Linear Expectations
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作者 Mingzhou XU 《Journal of Mathematical Research with Applications》 2025年第3期395-410,共16页
Assume that{a_(i),−∞<i<∞}is an absolutely summable sequence of real numbers.We establish the complete q-order moment convergence for the partial sums of moving average processes{X_(n)=Σ_(i=−∞)^(∞)a_(i)Y_(i+... Assume that{a_(i),−∞<i<∞}is an absolutely summable sequence of real numbers.We establish the complete q-order moment convergence for the partial sums of moving average processes{X_(n)=Σ_(i=−∞)^(∞)a_(i)Y_(i+n),n≥1}under some proper conditions,where{Yi,-∞<i<∞}is a doubly infinite sequence of negatively dependent random variables under sub-linear expectations.These results extend and complement the relevant results in probability space. 展开更多
关键词 moving average processes negatively dependent random variables complete moment convergence sub-linear expectations
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‘In Texas,everybody wants antibiotics’:reducing inappropriate antibiotic expectations and use with a provider–patient communication tool in primary care
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作者 Ashley Collazo Paige Wermuth +7 位作者 Johanan Luna Rodriguez Kiara Olmeda Azalia Mancera Fabrizia Faustinella Michael K Paasche-Orlow Roger Zoorob Barbara Wells Trautner Larissa Grigoryan 《Family Medicine and Community Health》 2025年第4期59-66,共8页
Background/objective Patients often expect antibiotics for self-limiting diseases,pressuring providers to prescribe antibiotics unnecessarily.These expectations also contribute to the unsafe practice of taking antibio... Background/objective Patients often expect antibiotics for self-limiting diseases,pressuring providers to prescribe antibiotics unnecessarily.These expectations also contribute to the unsafe practice of taking antibiotics without a prescription(non-prescription use),such as pills retained from prior prescriptions or antibiotics from non-medical sources.Previous work shows that non-prescription use is due to strong,widely held misconceptions regarding the curative power of antibiotics.To reduce unnecessary use of antibiotics,we developed and pilot-tested a patient-focused,bilingual(English and Spanish)educational tool with patient and provider stakeholder input.The tool,a trifold brochure,included information on safe antibiotic use,potential antibiotic harms and symptom management with over-the-counter medications.Design Using a qualitative design,we conducted a two-phase study to(1)develop a provider–patient communication tool and(2)pilot-test the tool in primary care clinics.Development of the tool involved patient advisory board meetings and healthcare professional(HCP)focus groups.Pilot-testing of the tool was done through semistructured interviews of randomly recruited patients from primary clinic waiting rooms and their providers.Setting Publicly funded safety net primary care clinics in Texas.Participants Patients(n=18)and HCPs(nurses,medical assistants,pharmacists,nurse practitioners and physicians)(n=14)from participating clinics.Result Themes were extracted from the qualitative data.Main themes from the development phase highlighted the need to create a simple tool to make it clear that antibiotics are not used to treat viral infections,pain or allergies and that using antibiotics without consulting a medical professional is not safe.During pilot-testing,providers noted the tool helped adjust patients’antibiotic expectations.Providers felt that the tool gave them credibility in scenarios where antibiotics were not indicated.Patients felt that the tool provided alternatives to antibiotics for symptom relief.Patients and providers found the tool useful in supporting patient–provider communication around antibiotic use.Conclusions A stakeholder-driven,patient-focused educational tool addressing inappropriate antibiotic use facilitated patient–provider communication around antibiotic usage and helped manage patients’antibiotic expectations.Embedding this tool into a community-facing intervention may reduce use of antibiotics without a prescription. 展开更多
关键词 provider patient communication non prescription use patient expectations primary care community facing intervention educational tool ANTIBIOTICS pills retained prior prescriptions
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A Geometric Process Repair Model for the Repairable System Consisting of One Component 被引量:1
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作者 贾积身 乔保民 张元林 《Chinese Quarterly Journal of Mathematics》 CSCD 2001年第4期76-82,共7页
This paper considers the optimal replacement problem of a repairable system consisting of one component and a single repairman, assume that the system after repair is not 'as good as new', by using the geometr... This paper considers the optimal replacement problem of a repairable system consisting of one component and a single repairman, assume that the system after repair is not 'as good as new', by using the geometric process, we consider a placement policy T based on the age of the system. The problem is to determine the optimal replacement policy T * such that the long_run expected benefit per unit time is maximized. Also, the explicit expression of the long_run expected benefit per unit time can be found. In some conditions, the existence and uniqueness of the optimal policy T * can be proved, finally, we prove that the policy T * is better than the policy T * in . 展开更多
关键词 expected benefit geometric process renewal reward theorem CONVOLUTION
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Extending Healthy Life Expectancy:The Promise of Addressing Preventable Chronic Disease through Healthy Lifestyle Intervention
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作者 Wei Bao 《Biomedical and Environmental Sciences》 2026年第2期129-130,共2页
Healthy life expectancy is a pivotal measure of population health by integrating both life expectancy and the quality of years lived.A significant increase in life expectancy was evident in most populations during the... Healthy life expectancy is a pivotal measure of population health by integrating both life expectancy and the quality of years lived.A significant increase in life expectancy was evident in most populations during the past decades worldwide[1],but the growth in healthy life expectancy has generally lagged behind[2].China has made substantial strides in enhancing both life expectancy and healthy life expectancy. 展开更多
关键词 life expectancy quality years population health healthy lifestyle intervention preventable chronic disease quality years lived healthy life expectancy
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Exploring the Framework of Online Music Use for Motivation of Studies and Gratification Needs for Students’Well-Being
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作者 Muhammad Ali Malik Koo Ah Choo +4 位作者 Hawa Rahmat Elyna Amir Sharji Teoh Sian Hoon Sabariah Eni Lim Kok Yoong 《International Journal of Mental Health Promotion》 2026年第1期149-167,共19页
Background:Music has proven to be vital in enhancing resilience and promotingwell-being.Previously,the impact of music in sports environments was solely investigated,while this paper applies it to study environments,s... Background:Music has proven to be vital in enhancing resilience and promotingwell-being.Previously,the impact of music in sports environments was solely investigated,while this paper applies it to study environments,standing out as pioneering research.The study consists of a systematic development of a conceptual framework based on theories of Uses and Gratification Expectancy(UGE)and perceived motivation based on music elements.Their components are observed variables influencing students’psychological well-being(as the dependent variable).Resilience is examined as a mediator,influencing the relationships of both observed and dependent variables.The main purpose of this study is to highlight the positive effects of online music consumption on the psychological well-being of students.Methods:Semi-structured qualitative interviews were conducted with eighteen final year creative multimedia undergraduate students belonging to five central region Malaysian universities,especially on their UGE needs,and a similar concept survey instrument with two hundred participants.The interview data were analysed through thematic analysis,while the survey data through descriptive and Partial Least Squares Structural Equation Modeling(PLS-SEM).Results:The results highlight that students gain motivation from online music,which positively affects their psychological well-being(β=0.190,p=0.003,f^(2)=0.037),while resilience significantly affects this relationship(β=0.562,p<0.001,f^(2)=0.461).However,the results also predict a partial relationship between constructs based on UGE with psychological well-being,mediated by resilience,i.e.,AT-UGE(β=0.021,p=0.783,f^(2)=0.000),SIPI-UGE(β=0.228,p=0.004,f^(2)=0.044).Conclusion:The outcome of the study reflected practical,meaningful,and statistically significant results.The majority of the predictors,with the exception of one,i.e.,AT-UGE,displayed a clear positive relation of online music consumption on the Psychological Well-being of students.Future research will explore varying contextual factors impacting online music-related gratifications,motivations,and resilience,along with additional potential mediators and moderators. 展开更多
关键词 Online music uses and gratification expectancy perceived motivation resilience WELL-BEING
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Iron dyshomeostasis links obesity and neurological diseases
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作者 Bandy Chen 《Neural Regeneration Research》 2026年第5期1985-1986,共2页
With the industrialization of agriculture and the advancement of medical care,human life expectancy has increased considerably and continues to rise steadily.This results in novel and unprecedented challenges,namely o... With the industrialization of agriculture and the advancement of medical care,human life expectancy has increased considerably and continues to rise steadily.This results in novel and unprecedented challenges,namely obesity and neurodegeneration. 展开更多
关键词 industrialization agriculture human life expectancy OBESITY medical care advancement neurological diseases iron dysregulation NEURODEGENERATION
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An Analysis of the Expectations Gap:Can it be eliminated?
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作者 旷群 《海外英语》 2011年第1X期286-288,共3页
The "expectations gap" signifies the differences between what the public expects from an audit and what the auditing profession prefers the audit objectives to be.Although the gap exists,it seems that the pr... The "expectations gap" signifies the differences between what the public expects from an audit and what the auditing profession prefers the audit objectives to be.Although the gap exists,it seems that the professions trust that it could be eliminated.In this paper,further evidence was provided to deny the above point by exploring the inevitability nature and the structure of the audit expectation gap.In addition,the author concludes that expectations gap cannot be eliminated;instead,the only thing can be done is to narrow down the gap. 展开更多
关键词 expectation GAP eliminate NARROW DOWN
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STRONG LIMIT THEOREMS FOR EXTENDED INDEPENDENT RANDOM VARIABLES AND EXTENDED NEGATIVELY DEPENDENT RANDOM VARIABLES UNDER SUB-LINEAR EXPECTATIONS 被引量:11
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作者 Li-Xin ZHANG 《Acta Mathematica Scientia》 SCIE CSCD 2022年第2期467-490,共24页
Limit theorems for non-additive probabilities or non-linear expectations are challenging issues which have attracted a lot of interest recently.The purpose of this paper is to study the strong law of large numbers and... Limit theorems for non-additive probabilities or non-linear expectations are challenging issues which have attracted a lot of interest recently.The purpose of this paper is to study the strong law of large numbers and the law of the iterated logarithm for a sequence of random variables in a sub-linear expectation space under a concept of extended independence which is much weaker and easier to verify than the independence proposed by Peng[20].We introduce a concept of extended negative dependence which is an extension of the kind of weak independence and the extended negative independence relative to classical probability that has appeared in the recent literature.Powerful tools such as moment inequality and Kolmogorov’s exponential inequality are established for these kinds of extended negatively independent random variables,and these tools improve a lot upon those of Chen,Chen and Ng[1].The strong law of large numbers and the law of iterated logarithm are also obtained by applying these inequalities. 展开更多
关键词 Sub-linear expectation capacity extended negative dependence Kolmogorov’s exponential inequality laws of the iterated logarithm law of large numbers
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