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Extension of Welch-Berlekamp theorem and universal strategy of decoding algorithm beyond BCH bound Welch-Berlekamp定理的推广及译码算法超越BCH界的通用策略
Science in China Series A-Mathematics, Physics, Astronomy & Technological Science Pub Date : 1995-11-20 DOI: 10.1360/YA1995-38-11-1387
Xin Dingjia
{"title":"Extension of Welch-Berlekamp theorem and universal strategy of decoding algorithm beyond BCH bound","authors":"Xin Dingjia","doi":"10.1360/YA1995-38-11-1387","DOIUrl":"https://doi.org/10.1360/YA1995-38-11-1387","url":null,"abstract":"In consideration of decoding cydic codes, a general formula for error pattern prediction is obtained. It extends the Welch-Berlekamp theorem and expands the Welch-Berlekamp algorithm, so that the limitation from BCH bound is broken, and the algorithm turns into a universal one which meets the actual minimum distance as well as complete decoding beyond the minimum distance in the case of decoding BCH codes and general cydic codes.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1995-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114194550","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}
引用次数: 2
The moduli space of Hopf surfaces Hopf曲面的模空间
Science in China Series A-Mathematics, Physics, Astronomy & Technological Science Pub Date : 1995-09-20 DOI: 10.1360/YA1995-38-9-1049
L. Qingzhong, Zhang Jinhao
{"title":"The moduli space of Hopf surfaces","authors":"L. Qingzhong, Zhang Jinhao","doi":"10.1360/YA1995-38-9-1049","DOIUrl":"https://doi.org/10.1360/YA1995-38-9-1049","url":null,"abstract":"The moduli space of complex structures on S1×S3/H) is studied, where H U(2) is a fi-nite Abelian group whose action is properly discontinuous and free on S3.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"317 8","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1995-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"113958759","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}
引用次数: 3
The influence of stochastic dispersion on optical soliton system and its suppression 随机色散对光孤子系统的影响及其抑制
Science in China Series A-Mathematics, Physics, Astronomy & Technological Science Pub Date : 1995-09-20 DOI: 10.1360/YA1995-38-9-1127
Yang Xianglin, Wen Yangjing, Zhang Ming-de
{"title":"The influence of stochastic dispersion on optical soliton system and its suppression","authors":"Yang Xianglin, Wen Yangjing, Zhang Ming-de","doi":"10.1360/YA1995-38-9-1127","DOIUrl":"https://doi.org/10.1360/YA1995-38-9-1127","url":null,"abstract":"The influence of stochastic dispersion on an optical soliton communication system is investigated, and the method of reducing this influence is also given. The analysis shows that the existence-of stochastic dispersion results in the arrival time jitter, which is in proportion to the mean square fluctuation of the imaginary component of stochastic dispersion and is related to soliton amplitude and velocity. The influence of stochastic dispersion can be reduced by using filtering method in frequency domain.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1995-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126232416","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}
引用次数: 2
The Schwarzian derivative in Kahler manifolds Kahler流形中的Schwarzian导数
Science in China Series A-Mathematics, Physics, Astronomy & Technological Science Pub Date : 1995-09-20 DOI: 10.1360/YA1995-38-9-1033
S. Gong, Qihuang Yu
{"title":"The Schwarzian derivative in Kahler manifolds","authors":"S. Gong, Qihuang Yu","doi":"10.1360/YA1995-38-9-1033","DOIUrl":"https://doi.org/10.1360/YA1995-38-9-1033","url":null,"abstract":"Let f be a holomorphic immersion which maps a Kahler manifold into a Kahler manifold of the same dimension. A Schwarzian derivative Sf of f is proposed. It is proved that: i) if Sf=0 and Sg=0, then Sf·g=0; ii) if the real part of the Schwarzian derivative of f on a convex domain in the Kaler manifold is bounded above, then F is an embedding. The upper bound is related to the holomorphic sectional curvature of the domain. This second theorem is an extension of Neharis criterion of univalence.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1995-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114336861","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}
引用次数: 1
A characteristics study on the performance of a 2-stage light gas gun 二级轻气枪性能特性研究
Science in China Series A-Mathematics, Physics, Astronomy & Technological Science Pub Date : 1995-09-20 DOI: 10.1360/YA1995-38-9-1070
吴应湘, 郑之初, P. Kupschus
{"title":"A characteristics study on the performance of a 2-stage light gas gun","authors":"吴应湘, 郑之初, P. Kupschus","doi":"10.1360/YA1995-38-9-1070","DOIUrl":"https://doi.org/10.1360/YA1995-38-9-1070","url":null,"abstract":"In order to obtain an overall and systematic understanding of the performance of a two-stage light gas gun (TLGG), a numerical code to simulate the process occurring in a gun shot is advanced based on the quasi-one-dimensional unsteady equations of motion with the real gas effect,;friction and heat transfer taken into account in a characteristic formulation for both driver and propellant gas. Comparisons of projectile velocities and projectile pressures along the barrel with experimental results from JET (Joint European Tons) and with computational data got by the Lagrangian method indicate that this code can provide results with good accuracy over a wide range of gun geometry and loading conditions.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1995-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121716702","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}
引用次数: 1
From solitary wave to traveling surge 从孤波到行浪
Science in China Series A-Mathematics, Physics, Astronomy & Technological Science Pub Date : 1995-09-20 DOI: 10.1360/YA1995-38-9-1145
Song Liting
{"title":"From solitary wave to traveling surge","authors":"Song Liting","doi":"10.1360/YA1995-38-9-1145","DOIUrl":"https://doi.org/10.1360/YA1995-38-9-1145","url":null,"abstract":"The solution of kinetic Alfven wave under action of anomalous resistance has two branches: the slow wave, VPVA cosθ will evolve into a stationary structure of Alfven traveling surge and the fast wave VPVA cosθ will be in a wave-broken state. Such traveling surge structure is a typical self-organization phenomenon and its wave form is determined by parameter β which represents the magnitude of resistance. High β leads to shock-like structure and low β to the appearance of some solitary waves in front of the shock. According to the study on solitary wave, shock wave and traveling surge in conjunction with self-organization of nonlinear dynamics, a general definition of wave can be given.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"290 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1995-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116051504","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}
引用次数: 0
Generalized Beurling-Ahlfors'Theorem 广义Beurling-Ahlfors 'Theorem
Science in China Series A-Mathematics, Physics, Astronomy & Technological Science Pub Date : 1995-09-20 DOI: 10.1360/YA1995-38-9-1060
Fang Ainong
{"title":"Generalized Beurling-Ahlfors'Theorem","authors":"Fang Ainong","doi":"10.1360/YA1995-38-9-1060","DOIUrl":"https://doi.org/10.1360/YA1995-38-9-1060","url":null,"abstract":"A generalized Beurling-Ahlfors' Theorem for the self homeomorphism f of the upper half plane with the sphere dilatation H(z,f) L loc (H) is established and the property of weighted quasi-isometry for the generalized Beurling-Ahlfors' extension is studied.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1995-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133918420","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}
引用次数: 1
Statistical mechanics of fuzzy random polymer networks 模糊随机聚合物网络的统计力学
Science in China Series A-Mathematics, Physics, Astronomy & Technological Science Pub Date : 1995-09-20 DOI: 10.1360/YA1995-38-9-1095
C. Xiaohong
{"title":"Statistical mechanics of fuzzy random polymer networks","authors":"C. Xiaohong","doi":"10.1360/YA1995-38-9-1095","DOIUrl":"https://doi.org/10.1360/YA1995-38-9-1095","url":null,"abstract":"A statistical mechanics framework of fuzzy random polymer networks is established based on the theories of fuzzy systems. The entanglement effect is manifested quantitatively by introducing an entanglement tensor and membership function and the amorphous structure is treated as the fuzzy random network made up of macromolecular coils entangled randomly. A random tetrahedral entangled-crosslinked cell is chosen as an average representative unit of the fuzzy random polymer network structure. By making use of the theory of fuzzy probability and statistical mechanics, the expression for the free energy of deformation is given, which fits well with the experimental data on rubber elasticity under various deformation modes. Both classical statistical theory and Mooney-Rivlin equation can be taken as its special cases.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"78 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1995-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114454006","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}
引用次数: 4
Field theory of unification in nonlinear and linear network (II)——Theoretical content of field theory 非线性与线性网络统一的场论(二)——场论的理论内容
Science in China Series A-Mathematics, Physics, Astronomy & Technological Science Pub Date : 1995-09-20 DOI: 10.1360/YA1995-38-9-1135
Chen Shennian, He Yuguang, Wan Jiancheng
{"title":"Field theory of unification in nonlinear and linear network (II)——Theoretical content of field theory","authors":"Chen Shennian, He Yuguang, Wan Jiancheng","doi":"10.1360/YA1995-38-9-1135","DOIUrl":"https://doi.org/10.1360/YA1995-38-9-1135","url":null,"abstract":"Two forms of basic equations and 5 basic matrices in the matrix analysis of networks from nonlinear networks to linear networks are obtained and their origins in physics are correctly explained. Furthermore, the whole 12 general characteristic formulae of the 4 fundamental network elements as well as some important new results, which were not in the conventional theory, have also been obtained during inference for both nonlinear and linear networks.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"127 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1995-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132911801","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}
引用次数: 0
Inner edge of accretion disks in low mass X-ray binaries. 低质量x射线双星吸积盘的内缘。
Science in China Series A-Mathematics, Physics, Astronomy & Technological Science Pub Date : 1995-09-20 DOI: 10.1360/YA1995-38-9-1117
Li Xiangdong, Wang Zhen-ru
{"title":"Inner edge of accretion disks in low mass X-ray binaries.","authors":"Li Xiangdong, Wang Zhen-ru","doi":"10.1360/YA1995-38-9-1117","DOIUrl":"https://doi.org/10.1360/YA1995-38-9-1117","url":null,"abstract":"The magnitude of the inner edge of accretion disks in low mass X-ray binaries is controversial in theoretical considerations and observations. Using the inner boundary conditions of accretion disks the inner disk radius has been calculated by taking into account the effect of feedback radiation and the deviation of disk rotation from Keplerian. Results have been applied to the observations and possible interpretations have been proposed for the X-ray spectra and quasiperiodic oscillations.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"77 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1995-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134481361","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}
引用次数: 0
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