In this paper we present sufficient conditions for reflexivity of any powers of the multiplication operator acting on Banach spaces of formal Laurent series.
By an elementary proof, we use a result of Conway and Dudziak to show that if A is a hyponormal operator with spectral radius r（A） such that its spectrum is the closed disc {z：｜z｜ ≤ r（A）} then A is reflexive. ...By an elementary proof, we use a result of Conway and Dudziak to show that if A is a hyponormal operator with spectral radius r（A） such that its spectrum is the closed disc {z：｜z｜ ≤ r（A）} then A is reflexive. Using this result, we give a simple proof of a result of Bercovici, Foias, and Pearcy on reflexivity of shift operators. Also, it is shown that every power of an invertible bilateral weighted shift is reflexive.展开更多
Objectives:This study aimed to determine the relationship between emotional reflexivity and work-life integration through the mechanism of moral courage and enhance our understanding of the importance of these nursing...Objectives:This study aimed to determine the relationship between emotional reflexivity and work-life integration through the mechanism of moral courage and enhance our understanding of the importance of these nursing concepts to enable the nurses to develop better coping strategies for work-life integration.Methods:A cross-sectional survey was performed with 249 nurses,including staff nurses,ICU and critical care nurses,operation theatre nurses,pediatric nurses from 17 hospitals.Emotional Reflexivity,work-life integration,and courage were measured using a demographic information questionnaire,Life Project Reflexivity Scale(LPRS),Nurse’s Moral Courage Scale(NMCS),andWork-Life Boundary Enactment(WLBE)scale.A series of multiple regressions analyzed the mediating effect.Results:Emotional Reflexivity was positively correlated with work-life integration(b=0.66,P<0.01).There was a positive correlation between emotional reflexivity and moral courage.But the path did not get the necessary support in the structural equation modeling(SEM)(b=0.13,P=0.40).When controlling for courage(b=0.42,P<0.01),the association was significant between emotional reflexivity and work-life integration with partial mediation.Conclusion:The study reported a positive correlation between reflexivity and work-life integration.Thus,nurses’work-life integration becomes better by reinforcing their emotional reflexivity and moral courage.展开更多
Algebraic reflexivity introduced by Hadwin is related to linear interpolation.In this paper,the concepts of weakly algebraic reflexivity and strongly algebraic reflexivity which are also related to linear interpolat...Algebraic reflexivity introduced by Hadwin is related to linear interpolation.In this paper,the concepts of weakly algebraic reflexivity and strongly algebraic reflexivity which are also related to linear interpolation are introduced.Some properties of them are obtained and some relations between them revealed展开更多
In her book, The Human Condition, Hannah Arendt states： ＂we are all the same, that is, human, in such a way that nobody is ever the same as anybody else＂ （1998, 8）. In this statement, we are the same （equality）...In her book, The Human Condition, Hannah Arendt states： ＂we are all the same, that is, human, in such a way that nobody is ever the same as anybody else＂ （1998, 8）. In this statement, we are the same （equality） and yet nobody is ever the same as anybody else （plurality）. This may sound contradictory yet what it means is that there is a common base which makes us all the same, and precisely because of this base, we are able to make comparisons and hence differentiate one from the other because we are all different. When analyzing two concepts, an equal status in at least one normatively relevant respect is needed. Where there is one, there is the other precisely because of the other and vice versa. The fact that it is only at least one respect that is needed implies the existence of other aspects that act as common distinguishing factors. Therefore, distinction implies equality. The paper will explore how according to Arendt, equality, a political concept, has been perverted into a social concept. In her view, previously, differing circumstances and conditions served as ＂protection＂ and actually had a protective role. An explanation will thus be given as to how a lack of these differences in the modem period has resulted in a challenge and how this challenge has created unexpected problems for the human condition. This implies reflexivity between political theory and the human agent, and will be presented from Arendt＇s perspective.展开更多
The objective of this paper is to compare the transformation of higher educations in Japan,South Korea,and Taiwan.The higher education systems in these societies were established and transformed from homologous Japane...The objective of this paper is to compare the transformation of higher educations in Japan,South Korea,and Taiwan.The higher education systems in these societies were established and transformed from homologous Japanese Imperial Universities,and developed toward various higher education systems intermediated by policies under international and domestic contexts.Using second hand data,the results show the common characteristics of these cases from state-led national elitism to market-led massification by means of privatization and commercialization.However,some differences exist in their finances resources,enrolment rates,policies for tuition fees and mostly important,job rewards for those who obtain higher education degrees,comparing to high school ones.The rise of reflexivity further suggests that the right of access to higher education has been changed from institutional limited opportunities,to the actors who decide when,why,and how to accept higher education.The facts imply that the states have to adjust and re-define their roles in higher education,and diverse programs and learning methods will be provided for multiple students in the future.展开更多
Objective:This study aimed to develop and evaluate a novel software tool for robust analysis of the Visually Enhanced Vestibular-Ocular Reflex(VVOR)and video head impulse test(vHIT)saccades.Methods:A retrospective stu...Objective:This study aimed to develop and evaluate a novel software tool for robust analysis of the Visually Enhanced Vestibular-Ocular Reflex(VVOR)and video head impulse test(vHIT)saccades.Methods:A retrospective study was conducted on 94 patients with Meniere’s Disease(MD),unilateral vestibular hypofunction(UVH),and vestibular migraine(VM).The MATLAB-based VVOR Analysis System and Saccades All in One software were utilized for data processing.New techniques,VVOR_diff and VVOR_cycle,were deployed for saccade parameter extraction.Results:Saccade incidence rates,examined through vHIT,VVOR_diff,and VVOR_cycle,exhibited distinct patterns in MD,UVH,and VM patients.Frequent instances of multiple saccades within a single cycle were noted on the affected side in MD and UVH patients.Statistically significant differences in saccade gain and incidence rates between the affected and unaffected sides were evident in MD and UVH patients.Notably,high inter-method and intra-method correlations suggested consistency across different methods and potential interactions within one.Conclusion:The software proved effective in extracting saccades and reducing noise in VVOR data,thereby enhancing the evaluation of vestibular function and potentially improving diagnostic accuracy for vestibular disorders.展开更多
文摘In this paper we present sufficient conditions for reflexivity of any powers of the multiplication operator acting on Banach spaces of formal Laurent series.
基金supported by a grant (No.86-GR-SC-27) from Shiraz University Research Council
文摘By an elementary proof, we use a result of Conway and Dudziak to show that if A is a hyponormal operator with spectral radius r（A） such that its spectrum is the closed disc {z：｜z｜ ≤ r（A）} then A is reflexive. Using this result, we give a simple proof of a result of Bercovici, Foias, and Pearcy on reflexivity of shift operators. Also, it is shown that every power of an invertible bilateral weighted shift is reflexive.
文摘Objectives:This study aimed to determine the relationship between emotional reflexivity and work-life integration through the mechanism of moral courage and enhance our understanding of the importance of these nursing concepts to enable the nurses to develop better coping strategies for work-life integration.Methods:A cross-sectional survey was performed with 249 nurses,including staff nurses,ICU and critical care nurses,operation theatre nurses,pediatric nurses from 17 hospitals.Emotional Reflexivity,work-life integration,and courage were measured using a demographic information questionnaire,Life Project Reflexivity Scale(LPRS),Nurse’s Moral Courage Scale(NMCS),andWork-Life Boundary Enactment(WLBE)scale.A series of multiple regressions analyzed the mediating effect.Results:Emotional Reflexivity was positively correlated with work-life integration(b=0.66,P<0.01).There was a positive correlation between emotional reflexivity and moral courage.But the path did not get the necessary support in the structural equation modeling(SEM)(b=0.13,P=0.40).When controlling for courage(b=0.42,P<0.01),the association was significant between emotional reflexivity and work-life integration with partial mediation.Conclusion:The study reported a positive correlation between reflexivity and work-life integration.Thus,nurses’work-life integration becomes better by reinforcing their emotional reflexivity and moral courage.
基金Supported in part by the National Natural Science Foundation of China(1 9771 0 72 ) .
文摘Algebraic reflexivity introduced by Hadwin is related to linear interpolation.In this paper,the concepts of weakly algebraic reflexivity and strongly algebraic reflexivity which are also related to linear interpolation are introduced.Some properties of them are obtained and some relations between them revealed
文摘In her book, The Human Condition, Hannah Arendt states： ＂we are all the same, that is, human, in such a way that nobody is ever the same as anybody else＂ （1998, 8）. In this statement, we are the same （equality） and yet nobody is ever the same as anybody else （plurality）. This may sound contradictory yet what it means is that there is a common base which makes us all the same, and precisely because of this base, we are able to make comparisons and hence differentiate one from the other because we are all different. When analyzing two concepts, an equal status in at least one normatively relevant respect is needed. Where there is one, there is the other precisely because of the other and vice versa. The fact that it is only at least one respect that is needed implies the existence of other aspects that act as common distinguishing factors. Therefore, distinction implies equality. The paper will explore how according to Arendt, equality, a political concept, has been perverted into a social concept. In her view, previously, differing circumstances and conditions served as ＂protection＂ and actually had a protective role. An explanation will thus be given as to how a lack of these differences in the modem period has resulted in a challenge and how this challenge has created unexpected problems for the human condition. This implies reflexivity between political theory and the human agent, and will be presented from Arendt＇s perspective.
文摘The objective of this paper is to compare the transformation of higher educations in Japan,South Korea,and Taiwan.The higher education systems in these societies were established and transformed from homologous Japanese Imperial Universities,and developed toward various higher education systems intermediated by policies under international and domestic contexts.Using second hand data,the results show the common characteristics of these cases from state-led national elitism to market-led massification by means of privatization and commercialization.However,some differences exist in their finances resources,enrolment rates,policies for tuition fees and mostly important,job rewards for those who obtain higher education degrees,comparing to high school ones.The rise of reflexivity further suggests that the right of access to higher education has been changed from institutional limited opportunities,to the actors who decide when,why,and how to accept higher education.The facts imply that the states have to adjust and re-define their roles in higher education,and diverse programs and learning methods will be provided for multiple students in the future.
基金supported by grants from National Science and Technology Ministry Key Research and Development Program–Project(2022YFC2402703).
文摘Objective:This study aimed to develop and evaluate a novel software tool for robust analysis of the Visually Enhanced Vestibular-Ocular Reflex(VVOR)and video head impulse test(vHIT)saccades.Methods:A retrospective study was conducted on 94 patients with Meniere’s Disease(MD),unilateral vestibular hypofunction(UVH),and vestibular migraine(VM).The MATLAB-based VVOR Analysis System and Saccades All in One software were utilized for data processing.New techniques,VVOR_diff and VVOR_cycle,were deployed for saccade parameter extraction.Results:Saccade incidence rates,examined through vHIT,VVOR_diff,and VVOR_cycle,exhibited distinct patterns in MD,UVH,and VM patients.Frequent instances of multiple saccades within a single cycle were noted on the affected side in MD and UVH patients.Statistically significant differences in saccade gain and incidence rates between the affected and unaffected sides were evident in MD and UVH patients.Notably,high inter-method and intra-method correlations suggested consistency across different methods and potential interactions within one.Conclusion:The software proved effective in extracting saccades and reducing noise in VVOR data,thereby enhancing the evaluation of vestibular function and potentially improving diagnostic accuracy for vestibular disorders.
