Let E be a compact Lie group, G a closed subgroup of E, and H a closed normal subgroup of G . For principal fibre bundle (E,p, E/G;G) and (E/H,p′,E/G;G/H), the relation between aut G(E) ...Let E be a compact Lie group, G a closed subgroup of E, and H a closed normal subgroup of G . For principal fibre bundle (E,p, E/G;G) and (E/H,p′,E/G;G/H), the relation between aut G(E) (resp. aut * G(E) ) and aut G/H (E/H) (resp.aut * G/H (E/H)) is investigated by using bundle map theory and transformation group theory. It will enable us to compute the group F G(E) (resp. E G(E)) while the group F G/H (E/H) is known.展开更多
In this paper, we study the homotopy category of unbounded complexes of strongly copure projective modules with bounded relative homologies K;(SCP).We show that the existence of a right recollement of K;(SCP) with...In this paper, we study the homotopy category of unbounded complexes of strongly copure projective modules with bounded relative homologies K;(SCP).We show that the existence of a right recollement of K;(SCP) with respect to K;(SCP), K;(SCP) and K;(SCP) has the homotopy category of strongly copure projective acyclic complexes as a triangulated subcategory in some case.展开更多
The aim of this study is to establish that, the equivalent class <img src="Edit_d35dd794-39a5-4ce4-992b-5130559b3c82.png" width="70" height="22" alt="" /> which is made up...The aim of this study is to establish that, the equivalent class <img src="Edit_d35dd794-39a5-4ce4-992b-5130559b3c82.png" width="70" height="22" alt="" /> which is made up of homotopic loops is a group with respect to <img src="Edit_3577ec7c-e6f5-4d71-8bd5-c63ea8fdb24f.png" width="30" height="15" alt="" /> in the general interval <span style="white-space:nowrap;">[<em>m</em>,<em>n</em>]</span>. The study proved from homotopical point of view that <img src="Edit_4cb511c3-e469-47e3-bd9c-e971594f939c.png" width="70" height="22" alt="" /> is associative, has an identity and inverse function. The study established with proof that <img src="Edit_39497a4b-b0e9-40d9-8f31-49816e760d6a.png" width="70" height="22" alt="" /> is a fundamental group in <span style="white-space:nowrap;">[<em>m</em>,<em>n</em>]</span> ,<img src="Edit_077b19f1-afb3-41f5-8d39-df073165c9dc.png" width="75" height="18" alt="" />.展开更多
含有中继线圈的三线圈无线电能传输(wireless power transfer,WPT)系统可以提高系统的传输距离和传输效率。文章基于耦合电感模型分析,并建立传统串联/串联/串联(series/series/series,S/S/S)补偿结构的三线圈磁耦合系统数学模型,但该...含有中继线圈的三线圈无线电能传输(wireless power transfer,WPT)系统可以提高系统的传输距离和传输效率。文章基于耦合电感模型分析,并建立传统串联/串联/串联(series/series/series,S/S/S)补偿结构的三线圈磁耦合系统数学模型,但该数学模型不够直观,不易对磁耦合系统除自感谐振式外的其他补偿参数确定方法进行分析。因此,提出利用变压器T网络模型进行三线圈磁耦合系统建模的新方法。基于所获得的解耦电路模型和等效漏感补偿理论,确定串联/串联/串联-并联(series/series/series-parallel,S/S/SP)、并联/串联/串联(parallel/series/series,P/S/S)、并联/串联/串联-并联(parallel/series/series-parallel, P/S/SP)补偿结构,提出S/S/S、S/S/SP、P/S/S、P/S/SP补偿结构的参数确定方法。所提方法在磁耦合系统不变的情况下,通过补偿电容及等效变比的设计,获得可变增益恒压的输出特性。该方法电路模型简单,设计思路清晰,参数选择灵活,有助于拓宽输出电压增益范围。展开更多
文摘Let E be a compact Lie group, G a closed subgroup of E, and H a closed normal subgroup of G . For principal fibre bundle (E,p, E/G;G) and (E/H,p′,E/G;G/H), the relation between aut G(E) (resp. aut * G(E) ) and aut G/H (E/H) (resp.aut * G/H (E/H)) is investigated by using bundle map theory and transformation group theory. It will enable us to compute the group F G(E) (resp. E G(E)) while the group F G/H (E/H) is known.
文摘In this paper, we study the homotopy category of unbounded complexes of strongly copure projective modules with bounded relative homologies K;(SCP).We show that the existence of a right recollement of K;(SCP) with respect to K;(SCP), K;(SCP) and K;(SCP) has the homotopy category of strongly copure projective acyclic complexes as a triangulated subcategory in some case.
文摘The aim of this study is to establish that, the equivalent class <img src="Edit_d35dd794-39a5-4ce4-992b-5130559b3c82.png" width="70" height="22" alt="" /> which is made up of homotopic loops is a group with respect to <img src="Edit_3577ec7c-e6f5-4d71-8bd5-c63ea8fdb24f.png" width="30" height="15" alt="" /> in the general interval <span style="white-space:nowrap;">[<em>m</em>,<em>n</em>]</span>. The study proved from homotopical point of view that <img src="Edit_4cb511c3-e469-47e3-bd9c-e971594f939c.png" width="70" height="22" alt="" /> is associative, has an identity and inverse function. The study established with proof that <img src="Edit_39497a4b-b0e9-40d9-8f31-49816e760d6a.png" width="70" height="22" alt="" /> is a fundamental group in <span style="white-space:nowrap;">[<em>m</em>,<em>n</em>]</span> ,<img src="Edit_077b19f1-afb3-41f5-8d39-df073165c9dc.png" width="75" height="18" alt="" />.
文摘含有中继线圈的三线圈无线电能传输(wireless power transfer,WPT)系统可以提高系统的传输距离和传输效率。文章基于耦合电感模型分析,并建立传统串联/串联/串联(series/series/series,S/S/S)补偿结构的三线圈磁耦合系统数学模型,但该数学模型不够直观,不易对磁耦合系统除自感谐振式外的其他补偿参数确定方法进行分析。因此,提出利用变压器T网络模型进行三线圈磁耦合系统建模的新方法。基于所获得的解耦电路模型和等效漏感补偿理论,确定串联/串联/串联-并联(series/series/series-parallel,S/S/SP)、并联/串联/串联(parallel/series/series,P/S/S)、并联/串联/串联-并联(parallel/series/series-parallel, P/S/SP)补偿结构,提出S/S/S、S/S/SP、P/S/S、P/S/SP补偿结构的参数确定方法。所提方法在磁耦合系统不变的情况下,通过补偿电容及等效变比的设计,获得可变增益恒压的输出特性。该方法电路模型简单,设计思路清晰,参数选择灵活,有助于拓宽输出电压增益范围。