Pub Date : 2003-01-01DOI: 10.1155/S0161171203206086
A. Matveev
Families of maps on the lattice of all antichains of a finite bounded poset that extend the blocker, deletion, and contraction maps on clutters are considered. Influence of the parameters of the maps is investigated. Order-theoretic extensions of some principal relations for the set-theoretic blocker, deletion, and contraction maps on clutters are presented.
{"title":"Extended blocker, deletion, and contraction maps on antichains","authors":"A. Matveev","doi":"10.1155/S0161171203206086","DOIUrl":"https://doi.org/10.1155/S0161171203206086","url":null,"abstract":"Families of maps on the lattice of all antichains of a finite bounded poset that extend the blocker, deletion, and contraction maps on clutters are considered. Influence of the parameters of the maps is investigated. Order-theoretic extensions of some principal relations for the set-theoretic blocker, deletion, and contraction maps on clutters are presented.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"2003 1","pages":"607-616"},"PeriodicalIF":1.2,"publicationDate":"2003-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S0161171203206086","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64979615","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 : 2003-01-01DOI: 10.1155/S0161171203206293
B. Dhage, S. Arya, J. Ume
A general procedural lemma for fixed-point theorems for three and four maps in a D-metric space is proved, and it is further applied for proving the common fixed-point theorems of three and four maps in a D-metric space satisfying certain contractive conditions.
{"title":"A general lemma for fixed-point theorems involving more than two maps in D-metric spaces with applications","authors":"B. Dhage, S. Arya, J. Ume","doi":"10.1155/S0161171203206293","DOIUrl":"https://doi.org/10.1155/S0161171203206293","url":null,"abstract":"A general procedural lemma for fixed-point theorems for three and four maps in a D-metric space is proved, and it is further applied for proving the common fixed-point theorems of three and four maps in a D-metric space satisfying certain contractive conditions.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"2003 1","pages":"661-672"},"PeriodicalIF":1.2,"publicationDate":"2003-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S0161171203206293","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64980551","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 : 2003-01-01DOI: 10.1155/S0161171203208012
Donald Yau
Boardman, Johnson, and Wilson (1995) gave a precise formulation for an unstable algebra over a generalized cohomology theory. Modifying their definition slightly in the case of complex K -theory by taking into account its periodicity, we prove that an unstable algebra for complex K -theory is precisely a filtered λ -ring, and vice versa.
Boardman, Johnson, and Wilson(1995)在广义上同调理论上给出了一个不稳定代数的精确公式。考虑到复K理论的周期性，我们稍微修改了它们的定义，证明了复K理论的不稳定代数是一个过滤的λ环，反之亦然。
{"title":"Unstable K-cohomology algebra is filtered λ-ring","authors":"Donald Yau","doi":"10.1155/S0161171203208012","DOIUrl":"https://doi.org/10.1155/S0161171203208012","url":null,"abstract":"Boardman, Johnson, and Wilson (1995) gave a precise formulation for an unstable algebra over a generalized cohomology theory. Modifying their definition slightly in the case of complex K -theory by taking into account its periodicity, we prove that an unstable algebra for complex K -theory is precisely a filtered λ -ring, and vice versa.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"2003 1","pages":"593-605"},"PeriodicalIF":1.2,"publicationDate":"2003-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S0161171203208012","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64980670","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 : 2003-01-01DOI: 10.1155/S0161171203208206
K. Neammanee
We use Stein's method to find a bound for Cauchy approximation. The random variables which are considered need to be independent.
我们用斯坦因的方法来求柯西近似的边界。所考虑的随机变量必须是独立的。
{"title":"Cauchy approximation for sums of independent random variables","authors":"K. Neammanee","doi":"10.1155/S0161171203208206","DOIUrl":"https://doi.org/10.1155/S0161171203208206","url":null,"abstract":"We use Stein's method to find a bound for Cauchy approximation. The random variables which are considered need to be independent.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"2003 1","pages":"1055-1066"},"PeriodicalIF":1.2,"publicationDate":"2003-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S0161171203208206","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64981588","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 : 2003-01-01DOI: 10.1155/S0161171203209091
A. Bijura
where 0
其中0
{"title":"ASYMPTOTICS OF INTEGRODIFFERENTIAL MODELS WITH INTEGRABLE KERNELS II","authors":"A. Bijura","doi":"10.1155/S0161171203209091","DOIUrl":"https://doi.org/10.1155/S0161171203209091","url":null,"abstract":"where 0 <e � 1 and 0 <β< 1. The functions g(t) and k(t, s) are continuous and k(t, t) < 0, 0 ≤ t ≤ T . The initial condition y0(e) is regular with respect to e as e tends to zero when g(0) = 0 and singular when g(0) ≠ 0. For this reason, it is appropriate to denote y0(e) = y0 when g(0) = 0 and y0(e) = ˜","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"2003 1","pages":"1577-1598"},"PeriodicalIF":1.2,"publicationDate":"2003-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S0161171203209091","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64982970","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 : 2003-01-01DOI: 10.1155/S016117120321019X
A. Allahverdi, Tariq A. Aldowaisan, Y. Sotskov
This paper addresses the two-machine flowshop scheduling problem with separate setup times to minimize makespan or total completion time (TCT). Setup times are relaxed to be random variables rather than deterministic as commonly used in the OR literature. Moreover, distribution-free setup times are used where only the lower and upper bounds are given. Global and local dominance relations are developed for the considered flowshops and an illustrative numerical example is given.
{"title":"TWO-MACHINE FLOWSHOP SCHEDULING PROBLEM TO MINIMIZE MAKESPAN OR TOTAL COMPLETION TIME WITH RANDOM AND BOUNDED SETUP TIMES","authors":"A. Allahverdi, Tariq A. Aldowaisan, Y. Sotskov","doi":"10.1155/S016117120321019X","DOIUrl":"https://doi.org/10.1155/S016117120321019X","url":null,"abstract":"This paper addresses the two-machine flowshop scheduling problem with separate setup times to minimize makespan or total completion time (TCT). Setup times are relaxed to be random variables rather than deterministic as commonly used in the OR literature. Moreover, distribution-free setup times are used where only the lower and upper bounds are given. Global and local dominance relations are developed for the considered flowshops and an illustrative numerical example is given.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"2003 1","pages":"2475-2486"},"PeriodicalIF":1.2,"publicationDate":"2003-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S016117120321019X","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64984643","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 : 2003-01-01DOI: 10.1155/S0161171203210656
M. Boulagouaz
We study transcendency properties for graded field extension and give an application to valued field extensions.
研究了梯度域扩展的超越性质，并给出了数值域扩展的应用。
{"title":"Graded transcendental extensions of graded fields","authors":"M. Boulagouaz","doi":"10.1155/S0161171203210656","DOIUrl":"https://doi.org/10.1155/S0161171203210656","url":null,"abstract":"We study transcendency properties for graded field extension and give an application to valued field extensions.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"8 1","pages":"4435-4446"},"PeriodicalIF":1.2,"publicationDate":"2003-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S0161171203210656","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64986202","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 : 2003-01-01DOI: 10.1155/S0161171203211042
Jinghao Zhu, Zhiqiang Zou
We study discrete solutions of nonlinear optimal control problems. By value functions, we construct difference equations to approximate the optimal control on each interval of “small” time. We aim to find a discrete optimal feedback control. An algorithm is proposed for computing the solution of the optimal control problem.
{"title":"AN APPROXIMATION TO DISCRETE OPTIMAL FEEDBACK CONTROLS","authors":"Jinghao Zhu, Zhiqiang Zou","doi":"10.1155/S0161171203211042","DOIUrl":"https://doi.org/10.1155/S0161171203211042","url":null,"abstract":"We study discrete solutions of nonlinear optimal control problems. By value functions, we construct difference equations to approximate the optimal control on each interval of “small” time. We aim to find a discrete optimal feedback control. An algorithm is proposed for computing the solution of the optimal control problem.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"2003 1","pages":"2989-3001"},"PeriodicalIF":1.2,"publicationDate":"2003-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S0161171203211042","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64986551","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 : 2003-01-01DOI: 10.1155/S016117120321070X
M. A. Elomary
We define the orthogonal sum of quadratic pairs and we show that there is no Witt cancellation theorem for this operation in characteristic 2.
我们定义了二次元对的正交和，并在特征2中证明了该运算不存在Witt消去定理。
{"title":"Quadratic pairs in characteristic 2 and the Witt cancellation theorem.","authors":"M. A. Elomary","doi":"10.1155/S016117120321070X","DOIUrl":"https://doi.org/10.1155/S016117120321070X","url":null,"abstract":"We define the orthogonal sum of quadratic pairs and we show that there is no Witt cancellation theorem for this operation in characteristic 2.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"2003 1","pages":"4389-4397"},"PeriodicalIF":1.2,"publicationDate":"2003-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S016117120321070X","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64986864","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 : 2003-01-01DOI: 10.1155/S0161171203211121
E. T. Kolkovska
We consider the one-dimensional Burgers equation perturbed by a white noise term with Dirichlet boundary conditions and a non-Lipschitz coefficient. We obtain existence of a weak solution proving tightness for a sequence of polygonal approximations for the equation and solving a martingale problem for the weak limit.
{"title":"On a stochastic Burgers equation with Dirichlet boundary conditions","authors":"E. T. Kolkovska","doi":"10.1155/S0161171203211121","DOIUrl":"https://doi.org/10.1155/S0161171203211121","url":null,"abstract":"We consider the one-dimensional Burgers equation perturbed by a white noise term with Dirichlet boundary conditions and a non-Lipschitz coefficient. We obtain existence of a weak solution proving tightness for a sequence of polygonal approximations for the equation and solving a martingale problem for the weak limit.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"2003 1","pages":"2735-2746"},"PeriodicalIF":1.2,"publicationDate":"2003-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S0161171203211121","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64987064","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：