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Geometry of charged rotating black hole 带电旋转黑洞的几何学
SUT Journal of Mathematics Pub Date : 2013-06-01 DOI: 10.55937/sut/1393504860
Musavvir Ali, Z. Ahsan
{"title":"Geometry of charged rotating black hole","authors":"Musavvir Ali, Z. Ahsan","doi":"10.55937/sut/1393504860","DOIUrl":"https://doi.org/10.55937/sut/1393504860","url":null,"abstract":"","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"108 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2013-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79392374","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
Consistency of AIC and its modification in the growth curve model under a large-(q,n) framework 大-(q,n)框架下增长曲线模型中AIC的一致性及其修正
SUT Journal of Mathematics Pub Date : 2013-06-01 DOI: 10.55937/sut/1393586997
R. Enomoto, Tetsuro Sakurai, Y. Fujikoshi
{"title":"Consistency of AIC and its modification in the growth curve model under a large-(q,n) framework","authors":"R. Enomoto, Tetsuro Sakurai, Y. Fujikoshi","doi":"10.55937/sut/1393586997","DOIUrl":"https://doi.org/10.55937/sut/1393586997","url":null,"abstract":"The AIC and its modifications have been proposed for selecting the degree in a polynomial growth curve model under a large-sample framework and a high-dimensional framework by Satoh, Kobayashi and Fujikoshi [9] and Fujikoshi, Enomoto and Sakurai [4], respectively. They note that the AIC and its modifications have no consistency property. In this paper we consider asymptotic properties of the AIC and its modification when the number q of groups or explanatory variables and the sample size n are large. First we show that the AIC has a consistency property under a large-(q, n) framework such that q/n → d ∈ [0, 1), under a condition on the noncentrality matrix, but the dimension p is fixed. Next we propose a modification of the AIC (denoted by MAIC) which is an asymptotic unbiased estimator of the risk under the asymptotic framework. It is shown that MAIC has a consistency property under a condition on the noncentrality matrix. Our results are checked numerically by conducting a Mote Carlo simulation. AMS 2010 Mathematics Subject Classification. 62H12, 62H30.","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"17 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2013-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81839958","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
Totally vertex-magic cordial labeling 完全顶点魔术亲切标签
SUT Journal of Mathematics Pub Date : 2013-01-01 DOI: 10.55937/sut/1378309917
P. Jeyanthi, N. A. Benseera
{"title":"Totally vertex-magic cordial labeling","authors":"P. Jeyanthi, N. A. Benseera","doi":"10.55937/sut/1378309917","DOIUrl":"https://doi.org/10.55937/sut/1378309917","url":null,"abstract":"In this paper, we introduce a new labeling called Totally VertexMagic Cordial(TVMC) labeling. A graph G(p, q) is said to be TVMC with a constant C if there is a mapping f : V (G) ∪ E(G) → {0, 1} such that f(a) + ∑ b∈N(a) f(ab)  ≡ C (mod 2) for all vertices a ∈ V (G) and |nf (0)− nf (1)| ≤ 1, where N(a) is the set of vertices adjacent to the vertex a and nf (i)(i = 0, 1) is the sum of the number of vertices and edges with label i. AMS 2010 Mathematics Subject Classification. 05C78.","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"29 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73485345","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 modified scaling BFGS method for nonconvex minimization 一种改进的缩放BFGS非凸最小化方法
SUT Journal of Mathematics Pub Date : 2013-01-01 DOI: 10.55937/sut/1378306000
Kiyohisa Sugasawa, H. Yabe
{"title":"A modified scaling BFGS method for nonconvex minimization","authors":"Kiyohisa Sugasawa, H. Yabe","doi":"10.55937/sut/1378306000","DOIUrl":"https://doi.org/10.55937/sut/1378306000","url":null,"abstract":"","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"327 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76642381","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 marginal cumulative logistic model for multi-way contingency tables 多路列联表的广义边际累积logistic模型
SUT Journal of Mathematics Pub Date : 2013-01-01 DOI: 10.55937/sut/1378307831
H. Kurakami, Kouji Tahata, S. Tomizawa
{"title":"Generalized marginal cumulative logistic model for multi-way contingency tables","authors":"H. Kurakami, Kouji Tahata, S. Tomizawa","doi":"10.55937/sut/1378307831","DOIUrl":"https://doi.org/10.55937/sut/1378307831","url":null,"abstract":"For multi-way contingency tables of same classifications with or- dered categories, this paper proposes two generalized marginal cumulative logis- tic models. Those indicate that the difference between two marginal cumulative logits, or two conditional marginal cumulative logits on condition that all val- ues of the variables are not identical, is a polynomial function of the category value. This paper also gives a theorem that the marginal homogeneity model holds if and only if both the proposed model and moment equality model hold. An example is given. AMS 2010 Mathematics Subject Classication. 62H17.","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"14 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86009184","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: 6
LP-Sasakian manifolds with quasi-conformal curvature tensor 具有拟共形曲率张量的lp - sasaki流形
SUT Journal of Mathematics Pub Date : 2013-01-01 DOI: 10.55937/sut/1379605047
K. De, U. De
{"title":"LP-Sasakian manifolds with quasi-conformal curvature tensor","authors":"K. De, U. De","doi":"10.55937/sut/1379605047","DOIUrl":"https://doi.org/10.55937/sut/1379605047","url":null,"abstract":". The object of the present paper is to study LP -Sasakian manifolds with quasi-conformal curvature tensor.","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"153 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78060459","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
On totally magic cordial labeling 完全神奇的亲切标签
SUT Journal of Mathematics Pub Date : 2013-01-01 DOI: 10.55937/sut/1378308983
P. Jeyanthi, N. A. Benseera, M. Mary
{"title":"On totally magic cordial labeling","authors":"P. Jeyanthi, N. A. Benseera, M. Mary","doi":"10.55937/sut/1378308983","DOIUrl":"https://doi.org/10.55937/sut/1378308983","url":null,"abstract":"A graph G is said to have totally magic cordial(TMC) labeling with constant C if there exists a mapping f : V (G) ∪ E(G) → {0, 1} such that f(a) + f(b) + f(ab) ≡ C (mod 2) for all ab ∈ E(G) and |nf (0)− nf (1)| ≤ 1, where nf (i)(i = 0, 1) is the sum of the number of vertices and edges with label i. In this paper, we investigate some new families of graphs that admit totally magic cordial labeling. AMS 2010 Mathematics Subject Classification. 05C78.","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"53 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87751720","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: 5
A projective bimodule resolution and the Hochschild cohomology for a cluster-tilted algebra of type D4 D4型簇倾斜代数的射影双模分辨和Hochschild上同调
SUT Journal of Mathematics Pub Date : 2012-06-01 DOI: 10.55937/sut/1360240084
T. Furuya
{"title":"A projective bimodule resolution and the Hochschild cohomology for a cluster-tilted algebra of type D4","authors":"T. Furuya","doi":"10.55937/sut/1360240084","DOIUrl":"https://doi.org/10.55937/sut/1360240084","url":null,"abstract":"","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"42 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2012-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75724320","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
Inexact sequential quadratically constrained quadratic programming methods with nonmonotone line searches for convex programming 凸规划的非单调线搜索非精确顺序二次约束规划方法
SUT Journal of Mathematics Pub Date : 2012-06-01 DOI: 10.55937/sut/1358951199
Atsushi Kato
{"title":"Inexact sequential quadratically constrained quadratic programming methods with nonmonotone line searches for convex programming","authors":"Atsushi Kato","doi":"10.55937/sut/1358951199","DOIUrl":"https://doi.org/10.55937/sut/1358951199","url":null,"abstract":"In this paper, we present inexact sequential quadratically constrained quadratic programming (SQCQP) methods with nonmonotone line searches for the convex programming problem. Kato, Narushima and Yabe proposed the SQCQP method whose subproblem is solved inexactly. Their inexact SQCQP method uses a monotone line search strategy. To reduce the number of merit function evaluations and to accept the unit step size easier, we apply the nonmonotone line search to their inexact SQCQP method. We present the algorithms of the inexact SQCQP method with the nonmonotone line searches and prove their global and superlinear convergence properties. Moreover, we give some numerical experiments to investigate the numerical performance of our proposed methods. AMS 2010 Mathematics Subject Classification. 65K05 90C30 90C55.","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"6 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2012-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81599045","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
Tests for mean vectors with two-step monotone missing data for the k-sample problem k-样本问题中两步单调缺失数据的均值向量检验
SUT Journal of Mathematics Pub Date : 2012-06-01 DOI: 10.55937/sut/1358530532
Noriko Seko
{"title":"Tests for mean vectors with two-step monotone missing data for the k-sample problem","authors":"Noriko Seko","doi":"10.55937/sut/1358530532","DOIUrl":"https://doi.org/10.55937/sut/1358530532","url":null,"abstract":"We continue our recent work on the problem of testing the equality of two normal mean vectors when the data have two-step monotone pattern missing observations. This paper extends the two-sample problem in our previous paper to the k-sample problem. Under the assumption that the population covariance matrices are equal, we obtain the likelihood ratio test statistic for testing the hypothesis H0 : μ (1) = μ = · · · = μ against H1 : at least two μs are unequal. Then, we provide Hotelling’s T 2 type statistic for testing any two mean vectors and propose the approximate upper percentile of this statistic. The accuracy of the approximation is investigated by Monte Carlo simulation. AMS 2010 Mathematics Subject Classification. 62H10, 62E20, 62H15.","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"9 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2012-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87070545","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: 8
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