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Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry最新文献

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On the cohomology of certain quotient manifolds of the real Stiefel manifolds and their applications 实Stiefel流形的某些商流形的上同调性及其应用
Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry Pub Date : 1970-12-01 DOI: 10.32917/HMJ/1206138226
T. Yasui
{"title":"On the cohomology of certain quotient manifolds of the real Stiefel manifolds and their applications","authors":"T. Yasui","doi":"10.32917/HMJ/1206138226","DOIUrl":"https://doi.org/10.32917/HMJ/1206138226","url":null,"abstract":"","PeriodicalId":17080,"journal":{"name":"Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry","volume":"41 1","pages":"313-338"},"PeriodicalIF":0.0,"publicationDate":"1970-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79304662","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
Functional calculus in locally convex algebras 局部凸代数中的泛函微积分
Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry Pub Date : 1970-01-01 DOI: 10.32917/HMJ/1206138375
C. Apostol
{"title":"Functional calculus in locally convex algebras","authors":"C. Apostol","doi":"10.32917/HMJ/1206138375","DOIUrl":"https://doi.org/10.32917/HMJ/1206138375","url":null,"abstract":"","PeriodicalId":17080,"journal":{"name":"Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry","volume":"36 1","pages":"1-12"},"PeriodicalIF":0.0,"publicationDate":"1970-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84851682","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
Explicit and implicit difference formulas of higher order accuracy for one-dimensional heat equation 一维热方程的高阶精度显式和隐式差分公式
Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry Pub Date : 1970-01-01 DOI: 10.32917/HMJ/1206138224
Hisayoshi Shintani
{"title":"Explicit and implicit difference formulas of higher order accuracy for one-dimensional heat equation","authors":"Hisayoshi Shintani","doi":"10.32917/HMJ/1206138224","DOIUrl":"https://doi.org/10.32917/HMJ/1206138224","url":null,"abstract":"For the numerical solution of this problem by the finite-difference methods, there are known the two-level explicit formula with the truncation error of order h, Crank-Nicolson's method GlβH? Douglas' high order correct method Q4Γ), three-level difference formulas [J3H, and so on. The object of this paper is to construct two-level explicit formulas with truncation errors of orders h and h, to determine their ranges of stability, and to derive the unconditionally stable two-level implicit formulas of higher order accuracy. Although the formulas obtained here are not all new, the stability conditions are considered in a somewhat unified form. These formulas will be useful not only for the direct use but also for the approximation of the truncation errors of the formulas of the lower order accuracy.","PeriodicalId":17080,"journal":{"name":"Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry","volume":"14 1","pages":"259-270"},"PeriodicalIF":0.0,"publicationDate":"1970-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73604757","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
Asymptotic expansions of the distributions of test statistics in multivariate analysis 多元分析中检验统计量分布的渐近展开式
Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry Pub Date : 1970-01-01 DOI: 10.32917/HMJ/1206138381
Y. Fujikoshi
{"title":"Asymptotic expansions of the distributions of test statistics in multivariate analysis","authors":"Y. Fujikoshi","doi":"10.32917/HMJ/1206138381","DOIUrl":"https://doi.org/10.32917/HMJ/1206138381","url":null,"abstract":"","PeriodicalId":17080,"journal":{"name":"Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry","volume":"12 1","pages":"73-144"},"PeriodicalIF":0.0,"publicationDate":"1970-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74589369","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: 58
High order derivations. II 高阶导数。2
Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry Pub Date : 1970-01-01 DOI: 10.32917/HMJ/1206138377
Y. Nakai, K. Kosaki, Y. Ishibashi
{"title":"High order derivations. II","authors":"Y. Nakai, K. Kosaki, Y. Ishibashi","doi":"10.32917/HMJ/1206138377","DOIUrl":"https://doi.org/10.32917/HMJ/1206138377","url":null,"abstract":"","PeriodicalId":17080,"journal":{"name":"Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry","volume":"74 1","pages":"17-27"},"PeriodicalIF":0.0,"publicationDate":"1970-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72676352","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: 18
Monotone limits in linear programming problems 线性规划问题中的单调极限
Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry Pub Date : 1970-01-01 DOI: 10.32917/HMJ/1206138223
M. Yamasaki
{"title":"Monotone limits in linear programming problems","authors":"M. Yamasaki","doi":"10.32917/HMJ/1206138223","DOIUrl":"https://doi.org/10.32917/HMJ/1206138223","url":null,"abstract":"The aim of this paper is to investigate the behavior of values of linear programming problems under some monotone variations of objective functions and constraints. More precisely, let X and Y be real linear spaces paired under the bilinear functional ((,))i, and let Z and W be real linear spaces paired under the bilinear functional ( ( , ) ) 2 A (linear) program for these paired spaces is a quintuple (A, P, Q, j 0 ? z0). In this quintuple, A is a linear transformation from X into Z, P is a convex cone in X, Q is a convex cone in Z, γ0 is an element of Y and z0 is an element of Z. The set S of feasible solutions for the program and the value M of the program are defined by","PeriodicalId":17080,"journal":{"name":"Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry","volume":"2014 1","pages":"249-258"},"PeriodicalIF":0.0,"publicationDate":"1970-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88917828","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
Harmonic and full-harmonic structures on a differentiable manifold 可微流形上的调和与全调和结构
Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry Pub Date : 1970-01-01 DOI: 10.32917/HMJ/1206138225
F. Maeda
{"title":"Harmonic and full-harmonic structures on a differentiable manifold","authors":"F. Maeda","doi":"10.32917/HMJ/1206138225","DOIUrl":"https://doi.org/10.32917/HMJ/1206138225","url":null,"abstract":"","PeriodicalId":17080,"journal":{"name":"Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry","volume":"1 1","pages":"271-312"},"PeriodicalIF":0.0,"publicationDate":"1970-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90640588","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: 7
On ${rm KD}$-null sets in $N$-dimensional euclidean space 关于N维欧氏空间中${rm KD}$-null集
Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry Pub Date : 1970-01-01 DOI: 10.32917/HMJ/1206138379
Hiro-o Yamamoto
{"title":"On ${rm KD}$-null sets in $N$-dimensional euclidean space","authors":"Hiro-o Yamamoto","doi":"10.32917/HMJ/1206138379","DOIUrl":"https://doi.org/10.32917/HMJ/1206138379","url":null,"abstract":"","PeriodicalId":17080,"journal":{"name":"Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry","volume":"27 1","pages":"59-68"},"PeriodicalIF":0.0,"publicationDate":"1970-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84289465","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
Asymptotic expansions of some test criteria for homogeneity of variances and covariance matrices from normal populations 正态总体方差和协方差矩阵齐性检验准则的渐近展开式
Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry Pub Date : 1970-01-01 DOI: 10.32917/HMJ/1206138222
H. Nagao
{"title":"Asymptotic expansions of some test criteria for homogeneity of variances and covariance matrices from normal populations","authors":"H. Nagao","doi":"10.32917/HMJ/1206138222","DOIUrl":"https://doi.org/10.32917/HMJ/1206138222","url":null,"abstract":"","PeriodicalId":17080,"journal":{"name":"Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry","volume":"427 Suppl 1","pages":"153-247"},"PeriodicalIF":0.0,"publicationDate":"1970-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83720842","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: 29
Note on the span of certain manifolds 注意某些流形张成的空间
Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry Pub Date : 1970-01-01 DOI: 10.32917/HMJ/1206138376
T. Yoshida
{"title":"Note on the span of certain manifolds","authors":"T. Yoshida","doi":"10.32917/HMJ/1206138376","DOIUrl":"https://doi.org/10.32917/HMJ/1206138376","url":null,"abstract":"","PeriodicalId":17080,"journal":{"name":"Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry","volume":"44 1","pages":"13-15"},"PeriodicalIF":0.0,"publicationDate":"1970-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72877198","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
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