将GrObner基推广到环(Z/( P e )[x 1 ,…,x n ])/I上, p 是素数,e≥1, I 是Z/( P e )[x 1 ,…,x n ]的理想,应用推广的GrObner基理论,给出了环Z/( m )上多条序列的综合算法,算法复杂性是 O ( N 2 ).
将GrObner基推广到环(Z/( P e )[x 1 ,…,x n ])/I上, p 是素数,e≥1, I 是Z/( P e )[x 1 ,…,x n ]的理想,应用推广的GrObner基理论,给出了环Z/( m )上多条序列的综合算法,算法复杂性是 O ( N 2 ).
{"title":"GrÖbner基推广及Z/(m)上多条序列综合算法","authors":"周锦君, 戚文峰, 周玉洁","doi":"10.1360/ZA1995-25-2-113","DOIUrl":"https://doi.org/10.1360/ZA1995-25-2-113","url":null,"abstract":"将GrObner基推广到环(Z/( P e )[x 1 ,…,x n ])/I上, p 是素数,e≥1, I 是Z/( P e )[x 1 ,…,x n ]的理想,应用推广的GrObner基理论,给出了环Z/( m )上多条序列的综合算法,算法复杂性是 O ( N 2 ).","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"450 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1995-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131833166","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
利用量子理论的微扰论,通过适当选择张量基矢,推导出分子C 2v 点群的简并三光子跃迁张量图,由近似法首次获得了三光子跃迁偏振比值.实验上用共振多光子电离(RMPI)技术,探测了气相甲苯分子的能量在52630～54050cm -1 范围的RMPI(3+1)谱,归属了共振跃迁电子态为3 p Rydberg态,对所观测到的4个振动带测量了偏振比,根据理论计算结果对电子态和振动态的跃迁作了对称性归属.
利用量子理论的微扰论,通过适当选择张量基矢,推导出分子C 2v 点群的简并三光子跃迁张量图,由近似法首次获得了三光子跃迁偏振比值.实验上用共振多光子电离(RMPI)技术,探测了气相甲苯分子的能量在52630～54050cm -1 范围的RMPI(3+1)谱,归属了共振跃迁电子态为3 p Rydberg态,对所观测到的4个振动带测量了偏振比,根据理论计算结果对电子态和振动态的跃迁作了对称性归属.
{"title":"甲苯分子3 p Rydberg态的偏振多光子电离谱的研究","authors":"刘耀明, 林美荣, 赵青春, 张包铮, 陈文驹","doi":"10.1360/ZA1995-25-2-180","DOIUrl":"https://doi.org/10.1360/ZA1995-25-2-180","url":null,"abstract":"利用量子理论的微扰论,通过适当选择张量基矢,推导出分子C 2v 点群的简并三光子跃迁张量图,由近似法首次获得了三光子跃迁偏振比值.实验上用共振多光子电离(RMPI)技术,探测了气相甲苯分子的能量在52630～54050cm -1 范围的RMPI(3+1)谱,归属了共振跃迁电子态为3 p Rydberg态,对所观测到的4个振动带测量了偏振比,根据理论计算结果对电子态和振动态的跃迁作了对称性归属.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1995-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114332085","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"关于 f n f＇ 的值分布","authors":"陈怀惠, 方明亮","doi":"10.1360/ZA1995-25-2-121","DOIUrl":"https://doi.org/10.1360/ZA1995-25-2-121","url":null,"abstract":"","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1995-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121687962","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1994-11-20DOI: 10.1360/YA1994-37-11-1387
Xin Dingjia
The concept of homogeneous interpolation problem (HIP) over fields is introduced.It is discovered that solving HIP over finite fields is equivalent to decoding Reed-Solomon (RS) codes.The Welch-Berlekamp algorithm of decoding RS codes is derived;besides,by introducing the concept of incomplete locator of error patterns,the algorithm called incomplete iterative decoding is established.
{"title":"Homogeneous Interpolation Problem and Key Equation for Decoding Reed-Solomon Codes","authors":"Xin Dingjia","doi":"10.1360/YA1994-37-11-1387","DOIUrl":"https://doi.org/10.1360/YA1994-37-11-1387","url":null,"abstract":"The concept of homogeneous interpolation problem (HIP) over fields is introduced.It is discovered that solving HIP over finite fields is equivalent to decoding Reed-Solomon (RS) codes.The Welch-Berlekamp algorithm of decoding RS codes is derived;besides,by introducing the concept of incomplete locator of error patterns,the algorithm called incomplete iterative decoding is established.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"86 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1994-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124882574","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1994-11-20DOI: 10.1360/ZA1994-24-11-1182
陈星蕖, 邢正
{"title":"奇- A Hg核超形变带的带结构","authors":"陈星蕖, 邢正","doi":"10.1360/ZA1994-24-11-1182","DOIUrl":"https://doi.org/10.1360/ZA1994-24-11-1182","url":null,"abstract":"","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1994-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125541327","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1994-11-20DOI: 10.1360/ZA1994-24-11-1203
黄且圆, 王驹
{"title":"unless和ensure的代数性质——II.unity的代数语义研究","authors":"黄且圆, 王驹","doi":"10.1360/ZA1994-24-11-1203","DOIUrl":"https://doi.org/10.1360/ZA1994-24-11-1203","url":null,"abstract":"","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1994-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114968181","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1994-11-20DOI: 10.1360/ZA1994-24-11-1189
韩汝珊, 苏肇冰, 王玉鹏
为了阐明YBa 2 Cu 3 O 7 中Pr或Ce置换诱导的超导T c 下降和金属-绝缘体转变,提出了一个“混合局域空穴态”模型。这个模型还解释了磁测量和谱测量之间的“对立”,可以对Y 1-x Pr x Ba 2 Cu 3 O 7 和Y 1-x Ce x Ba 2 Cu 3 O 7 的大部分实验结果给出合理的说明。
为了阐明YBa 2 Cu 3 O 7 中Pr或Ce置换诱导的超导T c 下降和金属-绝缘体转变,提出了一个“混合局域空穴态”模型。这个模型还解释了磁测量和谱测量之间的“对立”,可以对Y 1-x Pr x Ba 2 Cu 3 O 7 和Y 1-x Ce x Ba 2 Cu 3 O 7 的大部分实验结果给出合理的说明。
{"title":"Y 1-x Pr x Ba 2 Cu 3 O 7 和Y 1-x Ce x Ba 2 Cu 3 O 7 中的金属-绝缘体转变和超导电性","authors":"韩汝珊, 苏肇冰, 王玉鹏","doi":"10.1360/ZA1994-24-11-1189","DOIUrl":"https://doi.org/10.1360/ZA1994-24-11-1189","url":null,"abstract":"为了阐明YBa 2 Cu 3 O 7 中Pr或Ce置换诱导的超导T c 下降和金属-绝缘体转变,提出了一个“混合局域空穴态”模型。这个模型还解释了磁测量和谱测量之间的“对立”,可以对Y 1-x Pr x Ba 2 Cu 3 O 7 和Y 1-x Ce x Ba 2 Cu 3 O 7 的大部分实验结果给出合理的说明。","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1994-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127752451","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1994-10-20DOI: 10.1360/YA1994-37-10-1272
Teng Hong-fei, Sun Shou-lin, Ge Wen-Hai, Zhong Mo-Xie
The layout optimization for the dishes installed on a rotating table is investigated. This is a packing problem with equilibrium behavioural constraints. To deal with its layout topo-models and initial layout, a mathematical model and heuristic approaches, including the method of model-changing iteration (MCI) and the method of main objects topo-models (MOT), are proposed, with a series of intuitive algorithms embedded in, such as the technique for the search under the initial guess and the strategies for remission of "combinatorial explosion" . The validity and reliability of the proposed algorithms are verified by numerical examples and engineering applications, which could be used in satellite module, multiple spindle box, rotating structure and so on.
{"title":"Layout Optimization for the Dishes Installed on a Rotating Table——The Packing Problem With Equilibrium Behavioural Constraints","authors":"Teng Hong-fei, Sun Shou-lin, Ge Wen-Hai, Zhong Mo-Xie","doi":"10.1360/YA1994-37-10-1272","DOIUrl":"https://doi.org/10.1360/YA1994-37-10-1272","url":null,"abstract":"The layout optimization for the dishes installed on a rotating table is investigated. This is a packing problem with equilibrium behavioural constraints. To deal with its layout topo-models and initial layout, a mathematical model and heuristic approaches, including the method of model-changing iteration (MCI) and the method of main objects topo-models (MOT), are proposed, with a series of intuitive algorithms embedded in, such as the technique for the search under the initial guess and the strategies for remission of \"combinatorial explosion\" . The validity and reliability of the proposed algorithms are verified by numerical examples and engineering applications, which could be used in satellite module, multiple spindle box, rotating structure and so on.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1994-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126018856","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
在电子入射能量300 eV条件下,测量了氮分子在不同散射角下的12—14 eV能区的能量损失谱,散射角范围为2.75°—10.25°。得到了电子态b 1 ∏ u 振动能级v’=1—4的散射微分截面和广义振子强度,并通过外推k~2至零的方法得到了b 1 ∏ u 及其振动能级v’=1—4的散射微分截面和广义振子强度,并通过外推K~2主零的方法得到了b 1 ∏ u 及其振动能级v’=1—4的光学振子强度。所得结果与已发的实验数据和理论结果作了比较
在电子入射能量300 eV条件下,测量了氮分子在不同散射角下的12—14 eV能区的能量损失谱,散射角范围为2.75°—10.25°。得到了电子态b 1 ∏ u 振动能级v’=1—4的散射微分截面和广义振子强度,并通过外推k~2至零的方法得到了b 1 ∏ u 及其振动能级v’=1—4的散射微分截面和广义振子强度,并通过外推K~2主零的方法得到了b 1 ∏ u 及其振动能级v’=1—4的光学振子强度。所得结果与已发的实验数据和理论结果作了比较
{"title":"氢分子电子态b 1 П u 及其振动态的微分截面和振子强度","authors":"徐克尊, 钟志萍, 武淑兰, 凤任飞, S.Ohtani, T.Takayanagi, A.Kimota","doi":"10.1360/ZA1994-24-10-1115","DOIUrl":"https://doi.org/10.1360/ZA1994-24-10-1115","url":null,"abstract":"在电子入射能量300 eV条件下,测量了氮分子在不同散射角下的12—14 eV能区的能量损失谱,散射角范围为2.75°—10.25°。得到了电子态b 1 ∏ u 振动能级v’=1—4的散射微分截面和广义振子强度,并通过外推k~2至零的方法得到了b 1 ∏ u 及其振动能级v’=1—4的散射微分截面和广义振子强度,并通过外推K~2主零的方法得到了b 1 ∏ u 及其振动能级v’=1—4的光学振子强度。所得结果与已发的实验数据和理论结果作了比较","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1994-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131062639","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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