{"title":"An FLP Complementary Slackness Theorem Based on Fuzzy Relationship","authors":"Liu Xin","doi":"10.1007/978-3-642-28592-9_22","DOIUrl":"https://doi.org/10.1007/978-3-642-28592-9_22","url":null,"abstract":"","PeriodicalId":16294,"journal":{"name":"Journal of Liaoning Normal University","volume":"67 1","pages":"213-228"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74478570","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":"The study of Ξ~*-Ω interaction","authors":"Dai Lian-rong","doi":"10.4324/9781315731834-25","DOIUrl":"https://doi.org/10.4324/9781315731834-25","url":null,"abstract":"The short-range interaction mechanisms are totally different in the chirial SU(3) quark model and in the extended chiral SU(3) quark model.One is from the one-gluon exchange and another is from the vector meson exchange.In this work,we study the Ξ*-Ω interaction in these two models.The results show that it could be deeply bound states in these two models with totally different interaction mechanisms.The possible reasons of forming(Ξ*Ω)ST=012 stangeness-5 bound states are given.From the results,we can see that the chiral σ meson exchange is important,which dominantly provides the attractive interaction.Also we find that the quark exchange effect give attraction to this system,which means the special symmetry is important.Both reasons are helpful to form Ξ*-Ω deeply bound states.","PeriodicalId":16294,"journal":{"name":"Journal of Liaoning Normal University","volume":"66 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2009-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86279558","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":"On the Extended Euclidean Algorithm","authors":"Dong Xue","doi":"10.3840/08003652","DOIUrl":"https://doi.org/10.3840/08003652","url":null,"abstract":"The algorithm terminates after a finite number of iterations, since b is replaced in each iteration by the remainder r = a mod b, which is a nonnegative integer that is strictly smaller than b. Therefore, the algorithm terminates after at most b iterations. We show now that the algorithm is correct. We denote by 〈a, b〉 the set {ax + by | x, y ∈ Z}; this set is called the ideal generated by a and b in the ring of integers. Notice that if 〈a, b〉 contains the integers c and d, then 〈c, d〉 is a subset of 〈a, b〉. Lemma 1 If b 6= 0, then 〈a, b〉 = 〈b, a mod b〉. Proof. The ideal 〈a, b〉 contains the remainder r = a mod b, since r = a− qb with q = ba/bc. Thus, if b 6= 0 then the ideal 〈b, a mod b〉 is a subset of 〈a, b〉.","PeriodicalId":16294,"journal":{"name":"Journal of Liaoning Normal University","volume":"58 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2000-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89692160","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}