Human fights has always been a concept that evolves with the development of globalization. To clarify their relations, Human Rights made an interview with Xu Tiebing, an associate researcher on international studies w...Human fights has always been a concept that evolves with the development of globalization. To clarify their relations, Human Rights made an interview with Xu Tiebing, an associate researcher on international studies with the Communication University of China. Xu has recently translated the French book Atlas de la Mondialisation into Chinese.展开更多
This article explores the life of the professors of National Southwest Associated University during the Anti-Japanese War in detail,and tries to reveal their mental outlook and their enlightenment on how to live.The p...This article explores the life of the professors of National Southwest Associated University during the Anti-Japanese War in detail,and tries to reveal their mental outlook and their enlightenment on how to live.The paper also describes the daily lives of Professor Zheng Tianting and his colleagues,including living and sleep,body care,diet and hobbies,family life,closeness to nature,appreciation of cultural artifacts,various cultural and entertainment activities,nostalgia for deceased relatives,communication and care within clans and social groups,diary writing,and self-cultivation.Zheng and his colleagues from National Southwest Associated University felt deeply that people living in social groups needed to take the initiative to find friends,make friends,and be critical friends.Friends can encourage each other,solve difficulties,promote personal development,enrich life interest,and improve quality of life,which makes an already active life more dynamic and colorfiil.The life of Zheng and his colleagues was in accord with the social conditions of the times.There are three aspects of consistency between them:the common experience of war,patriotic spirit,and confidence that China would definitely win;traditional moral benevolence and the inheritance of the spirit of the ancient Chinese intellectuals who cared about the country and the people before personal enjoyment;and maintaining the spirit of the times,which was a new awareness of independent personality and consciousness.There are many inspirations for life that can be drawn from the daily life of Zheng and his colleagues:People should have a rich and diverse life,every meal deserves to be taken seriously,and one should watch art performances,play mahjong and poker,appreciate art works,collect cultural relics,and so on.Such is what life should mean.Whether it was the willingness of the professors of National Southwest Associated University to"go Dutch"when they had dinner parties during the Republic of China or the novel experience of daylight savings time,these were considered new things in life.They are a reminder that we need to continue to supersede closed thoughts.The professors,who had both the essence of traditional morality and the modern sense of democracy,realized their desire to be their own "master."展开更多
Abstract A few important integrals involving the product of two universal associated Legendre polynomials Pl'm', (x),Pk'n'(x)and x2a(1-x2)-p-1,xb(1± x)-p-1and xc(1-x2)-p-1(1 ± x)axe evaluated...Abstract A few important integrals involving the product of two universal associated Legendre polynomials Pl'm', (x),Pk'n'(x)and x2a(1-x2)-p-1,xb(1± x)-p-1and xc(1-x2)-p-1(1 ± x)axe evaluated using the operator form of Taylor's theorem and an integral over a single universal associated Legendre polynomial. These integrals are more general since the quantum numbers are unequal, i.e.l' ≠ k' and m'≠ n' .Their selection rules are a/so given. We also verify the correctness of those integral formulas numerically.展开更多
A class of second-order differential equations commonly arising in physics applications are considered,and their explicit hypergeometric solutions are provided. Further, the relationship with the Generalized and Unive...A class of second-order differential equations commonly arising in physics applications are considered,and their explicit hypergeometric solutions are provided. Further, the relationship with the Generalized and Universal Associated Legendre Equations are examined and established. The hypergeometric solutions, presented in this work,will promote future investigations of their mathematical properties and applications to problems in theoretical physics.展开更多
We find an exact formula of Gelfand-Kirillov dimensions for the infinite-dimensional explicit irreducible sl(n,F)-modules that appeared in the Z2-graded oscillator generalizations of the classical theorem on harmoni...We find an exact formula of Gelfand-Kirillov dimensions for the infinite-dimensional explicit irreducible sl(n,F)-modules that appeared in the Z2-graded oscillator generalizations of the classical theorem on harmonic polynomials established by Luo and Xu. Three infinite subfamilies of these modules have the minimal Gelfand-Kirillov dimension. They contain weight modules with unbounded weight multiplicities and completely pointed modules.Service E-mail this articleAdd to my bookshelfAdd to citation managerE-mail AlertRSSArticles by authors展开更多
文摘Human fights has always been a concept that evolves with the development of globalization. To clarify their relations, Human Rights made an interview with Xu Tiebing, an associate researcher on international studies with the Communication University of China. Xu has recently translated the French book Atlas de la Mondialisation into Chinese.
文摘This article explores the life of the professors of National Southwest Associated University during the Anti-Japanese War in detail,and tries to reveal their mental outlook and their enlightenment on how to live.The paper also describes the daily lives of Professor Zheng Tianting and his colleagues,including living and sleep,body care,diet and hobbies,family life,closeness to nature,appreciation of cultural artifacts,various cultural and entertainment activities,nostalgia for deceased relatives,communication and care within clans and social groups,diary writing,and self-cultivation.Zheng and his colleagues from National Southwest Associated University felt deeply that people living in social groups needed to take the initiative to find friends,make friends,and be critical friends.Friends can encourage each other,solve difficulties,promote personal development,enrich life interest,and improve quality of life,which makes an already active life more dynamic and colorfiil.The life of Zheng and his colleagues was in accord with the social conditions of the times.There are three aspects of consistency between them:the common experience of war,patriotic spirit,and confidence that China would definitely win;traditional moral benevolence and the inheritance of the spirit of the ancient Chinese intellectuals who cared about the country and the people before personal enjoyment;and maintaining the spirit of the times,which was a new awareness of independent personality and consciousness.There are many inspirations for life that can be drawn from the daily life of Zheng and his colleagues:People should have a rich and diverse life,every meal deserves to be taken seriously,and one should watch art performances,play mahjong and poker,appreciate art works,collect cultural relics,and so on.Such is what life should mean.Whether it was the willingness of the professors of National Southwest Associated University to"go Dutch"when they had dinner parties during the Republic of China or the novel experience of daylight savings time,these were considered new things in life.They are a reminder that we need to continue to supersede closed thoughts.The professors,who had both the essence of traditional morality and the modern sense of democracy,realized their desire to be their own "master."
文摘Abstract A few important integrals involving the product of two universal associated Legendre polynomials Pl'm', (x),Pk'n'(x)and x2a(1-x2)-p-1,xb(1± x)-p-1and xc(1-x2)-p-1(1 ± x)axe evaluated using the operator form of Taylor's theorem and an integral over a single universal associated Legendre polynomial. These integrals are more general since the quantum numbers are unequal, i.e.l' ≠ k' and m'≠ n' .Their selection rules are a/so given. We also verify the correctness of those integral formulas numerically.
基金Supported of Natural Sciences and Engineering Research Council of Canada under Grant No.GP249507
文摘A class of second-order differential equations commonly arising in physics applications are considered,and their explicit hypergeometric solutions are provided. Further, the relationship with the Generalized and Universal Associated Legendre Equations are examined and established. The hypergeometric solutions, presented in this work,will promote future investigations of their mathematical properties and applications to problems in theoretical physics.
基金Supported by National Natural Science Foundation of China(Grant No.11171324)
文摘We find an exact formula of Gelfand-Kirillov dimensions for the infinite-dimensional explicit irreducible sl(n,F)-modules that appeared in the Z2-graded oscillator generalizations of the classical theorem on harmonic polynomials established by Luo and Xu. Three infinite subfamilies of these modules have the minimal Gelfand-Kirillov dimension. They contain weight modules with unbounded weight multiplicities and completely pointed modules.Service E-mail this articleAdd to my bookshelfAdd to citation managerE-mail AlertRSSArticles by authors