In this paper we introduce the new concept of the conformal invariance and the conserved quantities for Appell systems under second-class Mei symmetry. The one-parameter infinitesimal transformation group and infinite...In this paper we introduce the new concept of the conformal invariance and the conserved quantities for Appell systems under second-class Mei symmetry. The one-parameter infinitesimal transformation group and infinitesimal transformation vector of generator are described in detail. The conformal factor in the determining equations under second-class Mei symmetry is found. The relationship between Appell system＇s conformal invariance and Mei symmetry are discussed. And Appell system＇s conformal invariance under second-class Mei symmetry may lead to corresponding Hojman conserved quantities when the conformal invariance satisfies some conditions. Lastly, an example is provided to illustrate the application of the result.展开更多
This paper proposes a new concept of the conformal invariance and the conserved quantities for Birkhoff systems under second-class Mei symmetry. The definition about conformal invariance of Birkhoff systems under seco...This paper proposes a new concept of the conformal invariance and the conserved quantities for Birkhoff systems under second-class Mei symmetry. The definition about conformal invariance of Birkhoff systems under second-class Mei symmetry is given. The conformal factor in the determining equations is found. The relationship between Birkhoff system＇s conformal invariance and second-class Mei symmetry are discussed. The necessary and sufficient conditions of conformal invaxiance, which are simultaneously of second-class symmetry, are given. And Birkhoff system＇s conformal invariance may lead to corresponding Mei conserved quantities, which is deduced directly from the second-class Mei symmetry when the conformal invariance satisfies some conditions. Lastly, an example is provided to illustrate the application of the result.展开更多
“Emperor’s Edict”refers to the writing of emperor himself.In the context of serving as official document,it refers to the special writ issued by emperor for sake of administering national affairs.In the official do...“Emperor’s Edict”refers to the writing of emperor himself.In the context of serving as official document,it refers to the special writ issued by emperor for sake of administering national affairs.In the official document system of Song Dynasty,“Emperor’s Edict”had always been an attention of the scholars and officials at that time due to its unusual functions in terms of drafting,promulgation and power.The Southern Song Dynasty was generally conceived by academic circles as a period when the“Administration by Emperor’s Edict”was gradually phased out.We did observe,however,with“Emperor’s Edict”placed in historical panorama of the early years of Southern Song Dynasty,an ever-strengthened power and prowess of“Emperor’s Edict”as backlit by several historical incidents such as Emperor Gaozong’s controlling and manipulating by“Emperor’s Edict”of the national armies.It reflects the political truth of strengthened imperial power in the Southern Song Dynasty.Hence,we can have access to another facet of the politics of the Southern Song Dynasty.展开更多
基金supported by the National Natural Science Foundation of China (Grant Nos.10672143 and 60575055)
文摘In this paper we introduce the new concept of the conformal invariance and the conserved quantities for Appell systems under second-class Mei symmetry. The one-parameter infinitesimal transformation group and infinitesimal transformation vector of generator are described in detail. The conformal factor in the determining equations under second-class Mei symmetry is found. The relationship between Appell system＇s conformal invariance and Mei symmetry are discussed. And Appell system＇s conformal invariance under second-class Mei symmetry may lead to corresponding Hojman conserved quantities when the conformal invariance satisfies some conditions. Lastly, an example is provided to illustrate the application of the result.
基金supported by the National Natural Science Foundation of China (Grant No. 11072218)the Natural Science Foundation of Zhejiang Province of China (Grant No. Y6100337)
文摘This paper proposes a new concept of the conformal invariance and the conserved quantities for Birkhoff systems under second-class Mei symmetry. The definition about conformal invariance of Birkhoff systems under second-class Mei symmetry is given. The conformal factor in the determining equations is found. The relationship between Birkhoff system＇s conformal invariance and second-class Mei symmetry are discussed. The necessary and sufficient conditions of conformal invaxiance, which are simultaneously of second-class symmetry, are given. And Birkhoff system＇s conformal invariance may lead to corresponding Mei conserved quantities, which is deduced directly from the second-class Mei symmetry when the conformal invariance satisfies some conditions. Lastly, an example is provided to illustrate the application of the result.
文摘“Emperor’s Edict”refers to the writing of emperor himself.In the context of serving as official document,it refers to the special writ issued by emperor for sake of administering national affairs.In the official document system of Song Dynasty,“Emperor’s Edict”had always been an attention of the scholars and officials at that time due to its unusual functions in terms of drafting,promulgation and power.The Southern Song Dynasty was generally conceived by academic circles as a period when the“Administration by Emperor’s Edict”was gradually phased out.We did observe,however,with“Emperor’s Edict”placed in historical panorama of the early years of Southern Song Dynasty,an ever-strengthened power and prowess of“Emperor’s Edict”as backlit by several historical incidents such as Emperor Gaozong’s controlling and manipulating by“Emperor’s Edict”of the national armies.It reflects the political truth of strengthened imperial power in the Southern Song Dynasty.Hence,we can have access to another facet of the politics of the Southern Song Dynasty.
