Pub Date : 1994-09-20DOI: 10.1360/YA1994-37-9-1053
LI Xiang-Beng, L. Chuntu
The dynamic stress intensity factor history for a semi-infinite crack in an otherwise unbounded elastic body is analyzed. The crack is subjected to a pair of suddenly-applied point loadings on its faces at a distance L away from the crack tip. The exact expression for the mode I stress intensity factor as a function of time is obtained. The method of solution is based on the direct application of integral transforms, the Wiener-Hopf technique and the Cagniard-de Hoop method. Due to the existence of the characteristic length in loading, this problem was long believed a knotty problem. Some features of the solutions are discussed and graphical result for numerical computation is presented.
{"title":"Elastodynamic Stress Intensity Factor History for a Semi-infinite Crack Under Three-dimensional Transient Loading","authors":"LI Xiang-Beng, L. Chuntu","doi":"10.1360/YA1994-37-9-1053","DOIUrl":"https://doi.org/10.1360/YA1994-37-9-1053","url":null,"abstract":"The dynamic stress intensity factor history for a semi-infinite crack in an otherwise unbounded elastic body is analyzed. The crack is subjected to a pair of suddenly-applied point loadings on its faces at a distance L away from the crack tip. The exact expression for the mode I stress intensity factor as a function of time is obtained. The method of solution is based on the direct application of integral transforms, the Wiener-Hopf technique and the Cagniard-de Hoop method. Due to the existence of the characteristic length in loading, this problem was long believed a knotty problem. Some features of the solutions are discussed and graphical result for numerical computation is presented.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"125 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1994-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121186563","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":"任何非递归r.e.度之下存在孤立d-r.e.度","authors":"钱磊, 丁德成","doi":"10.1360/ZA1994-24-9-897","DOIUrl":"https://doi.org/10.1360/ZA1994-24-9-897","url":null,"abstract":"","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1994-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130369883","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}
In this paper, a new concept of selection operators on hyperspaces (subsets spaces) is introduced, and the existence theorems for several kinds of selection operators are proved. Using the methods of selection operators, we give a selection characterization of identically distributed multivalued random variables and completely solve the vector-valued selection problem for sequences of multivalued random variables converging in distribution. The regular selections and Markov selections for multivalued stochastic processes are studied, and a discretization theorem for multivalued Markov processes is established. A theorem on the asymptotic martingale selections for compact and convex multivalued asymptotic martingale is proved.
{"title":"Theory of Selection Operators on Hyperspaces and Multivalued Stochastic Processes","authors":"Gao Yong, Zhang Wen-xiu","doi":"10.1360/YA1994-37-8-897","DOIUrl":"https://doi.org/10.1360/YA1994-37-8-897","url":null,"abstract":"In this paper, a new concept of selection operators on hyperspaces (subsets spaces) is introduced, and the existence theorems for several kinds of selection operators are proved. Using the methods of selection operators, we give a selection characterization of identically distributed multivalued random variables and completely solve the vector-valued selection problem for sequences of multivalued random variables converging in distribution. The regular selections and Markov selections for multivalued stochastic processes are studied, and a discretization theorem for multivalued Markov processes is established. A theorem on the asymptotic martingale selections for compact and convex multivalued asymptotic martingale is proved.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1994-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125248396","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}
The syntactic parsing algorithm of weak precedence forest grammar has been introduced and the correctness and unambiguity of this algorithm have been proved. An example is given to the syntactic parsing procedure of weak precedence forest grammar.
{"title":"Forest Grammar (II)","authors":"Zhang Songmao","doi":"10.1360/YA1994-37-8-998","DOIUrl":"https://doi.org/10.1360/YA1994-37-8-998","url":null,"abstract":"The syntactic parsing algorithm of weak precedence forest grammar has been introduced and the correctness and unambiguity of this algorithm have been proved. An example is given to the syntactic parsing procedure of weak precedence forest grammar.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1994-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131573868","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 : 1994-08-20DOI: 10.1360/YA1994-37-8-1018
Zhang Li-ang
Four polynomial-time hierarchies on functions are introduced, which are considered to be generalizations of Valiant's counting function class #P, class Span-P introduced by Kobler et al., Krentel's optimization function class Opt-P, and F2p. It is shown that our polynomial hierarchies of optimization functions are the same as that defined by Krentel. The relationships within every hierarchy and between them are studied.
{"title":"Polynomial-time Hierarchies on Some Classes of Functions (II)","authors":"Zhang Li-ang","doi":"10.1360/YA1994-37-8-1018","DOIUrl":"https://doi.org/10.1360/YA1994-37-8-1018","url":null,"abstract":"Four polynomial-time hierarchies on functions are introduced, which are considered to be generalizations of Valiant's counting function class #P, class Span-P introduced by Kobler et al., Krentel's optimization function class Opt-P, and F2p. It is shown that our polynomial hierarchies of optimization functions are the same as that defined by Krentel. The relationships within every hierarchy and between them are studied.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1994-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114750320","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}
在引进环 Z /( Pe )上多项式的分裂环概念基础上,讨论了多项式分解和根的性质,利用这些性质和序列簇的结构,给出了 Z /( Pe )上线性递归序列的根表示,并证明这种表示完全由序列唯一确定.
在引进环 Z /( Pe )上多项式的分裂环概念基础上,讨论了多项式分解和根的性质,利用这些性质和序列簇的结构,给出了 Z /( Pe )上线性递归序列的根表示,并证明这种表示完全由序列唯一确定.
{"title":"Z |( p e )上多项式分裂环及线性递归序列根表示","authors":"戚文峰, 周锦君","doi":"10.1360/ZA1994-24-7-692","DOIUrl":"https://doi.org/10.1360/ZA1994-24-7-692","url":null,"abstract":"在引进环 Z /( Pe )上多项式的分裂环概念基础上,讨论了多项式分解和根的性质,利用这些性质和序列簇的结构,给出了 Z /( Pe )上线性递归序列的根表示,并证明这种表示完全由序列唯一确定.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"42 9","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1994-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132835689","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}
In this paper, we deal with the problem of uniqueness of meromorphic functions. It is shown that there exist two finite sets Sj (j=1, 2) such that any two nonconstant meromorphic functions f and g satisfying Ef(Sj)=Eg(Sj) for j = 1,2 must be identical, which answers a question posed by Gross.
{"title":"Uniqueness of Meromorphic Functions and Question of Gross","authors":"YI Hong-xun","doi":"10.1360/YA1994-37-7-802","DOIUrl":"https://doi.org/10.1360/YA1994-37-7-802","url":null,"abstract":"In this paper, we deal with the problem of uniqueness of meromorphic functions. It is shown that there exist two finite sets Sj (j=1, 2) such that any two nonconstant meromorphic functions f and g satisfying Ef(Sj)=Eg(Sj) for j = 1,2 must be identical, which answers a question posed by Gross.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1994-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121207501","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：