{"title":"Statistical Hypothesis Test In Three Factor ANOVA Model Under Fuzzy Environments Using Trapezoidal Fuzzy Numbers","authors":"S. Parthiban, P. Gajivaradhan","doi":"10.18052/WWW.SCIPRESS.COM/BMSA.14.23","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BMSA.14.23","url":null,"abstract":"This paper deals with the problem of three factor ANOVA model (Latin Square Design- LSD) test using Trapezoidal Fuzzy Numbers (tfns.). The proposed test is analysed under various types of trapezoidal fuzzy models such as Alpha Cut Interval, Membership Function, Ranking Function, Total Integral Value and Graded Mean Integration Representation. Finally a comparative view of the conclusions obtained from various test is given. Moreover, two numerical examples having different conclusions have been given for a concrete comparative study.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"117 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133792697","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":"Forgotten topological index and hyper-Zagreb index of generalized transformation graphs","authors":"B. Basavanagoud, Veena R. Desai","doi":"10.18052/WWW.SCIPRESS.COM/BMSA.14.1","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BMSA.14.1","url":null,"abstract":"In this paper, we obtain the expressions for forgotten topological index, hyper-Zagreb index and coindex for generalized transformation graphs � �� and their complements � �� .","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"64 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115900745","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":"GENERALIZED REVERSE DERIVATIONS ON SEMIPRIME RINGS","authors":"C. J. Reddy, G. Rao, S. V. Kumar","doi":"10.18052/WWW.SCIPRESS.COM/BSMASS.15.1","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BSMASS.15.1","url":null,"abstract":"In this paper we extend our ideas from reverse derivation towards the Generalized reverse derivations on semiprime rings. In this Paper, we prove that if d is a non-zero reverse derivation of a semi prime ring R and f is a generalized reverse derivation, then �� is a strong commutativity preserving. Using this, we prove that R is commutative.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128798253","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":"Compare of Physical Structure and Content of Counselling between Consultation Services and Psychotherapy Government Agencies and the Private Sector in Kurdistan Province","authors":"Sharmin Rahmani, M. Goodarzi","doi":"10.18052/WWW.SCIPRESS.COM/BMSA.13.1","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BMSA.13.1","url":null,"abstract":"The purpose of this study was compare the physical structure and content of counselling between consultation services and psychotherapy government agencies and the private sector in Kurdistan province. The research is descriptive and comparative. The study population included all psychotherapy and counseling centers in Kurdistan. therefor among the population of through available sampling a total of 16 centers selected and data were collected using a questionnaire quality services of Jafari with the reliability of 0.83 and a correlation coefficient of (Cronbach's alpha = 0.76). The results of analysis of independent T test showed that, between the physical structure consultation and psychotherapy government agencies and the private sector in Kurdistan province there is a significant difference but content of counselling and psychotherapy government agencies and the private sector in Kurdistan province there is no significant difference. This means that quality of physical structure was higher in private sector however in terms of content there is no difference between two centers.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129840816","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":"Convergence and inversion theorems for generalized Weierstrass transform","authors":"A. K. Thakur, Preeti Tamrakar","doi":"10.18052/WWW.SCIPRESS.COM/BMSA.13.6","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BMSA.13.6","url":null,"abstract":"In this paper , we study the Weierstrass Transformation of certain generalized functions and their convolution transformation of certain generalised function and its inversion . We extend such type of results of convergence and inversion theorems for generalized weierstrass transforms (1.1) and (1.2).","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128433235","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":"Slant and Hemislant Submanifolds of a 3-Dimensional Indefinite Trans-Sasakian Manifold","authors":"B. Laha","doi":"10.18052/WWW.SCIPRESS.COM/BSMASS.15.10","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BSMASS.15.10","url":null,"abstract":"In this paper we would like to establish some of the properties of slant and hemislant sub- manifolds of an indefinite trans-Sasakian manifold. We have four sections in this paper. Section (1) is introductory. In Section (2) we recall some necessary details of an indefinite trans-Sasakian manifold. In Section (3) we have obtained some interesting properties on a totally umbilical slant submanifolds of an indefinite trans-Sasakian manifold. Finally, in Section (4), some results on integrability con- ditions of the distributions of hemislant submanifolds of an indefinite trans-Sasakian manifold have been obtained.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130481613","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":"JORDAN u-GENERALIZED REVERSE DERIVATIONS ON SEMIPRIME RINGS","authors":"C. J. Reddy, G. Rao, S. Rao","doi":"10.18052/WWW.SCIPRESS.COM/BSMASS.15.5","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BSMASS.15.5","url":null,"abstract":"In this paper, we prove that if G is a Jordan u-generalized reverse derivation of a semi prime ring R of char.≠2, then G is a u-generalized reverse derivation. Similarly, we show that if G is a Jordan u−* generalized reverse derivation of a semi prime ring R of char.≠2, then G is a u−*generalized reverse derivation. We also prove that the commutativity of R if G((x,y)) =0. INTRODUCTION: M.Bresar (2) proved that for a semiprime ring R, if G is a function from R to R and D:R→ R is an additive mapping such that G(xy )=G(x)y+ xD (y), for all x,y∈R,then D is uniquely determined by G and moreover G must be a derivation. In (1) Ashraf and Rehman proved that if R is a ring of char.≠2 such that R has a commutator which is not a zero divisor, then every Jordan generalized derivation on R is a generalized derivation.We know that an additive mapping G:R→ R is a Jordan generalized reverse derivation if there exists a derivation D from R to R such that G(x 2 )=G(x)x+ xD (x), for all x in R. An additive mapping Dfrom R to itself is a u-reverse derivation if D(xy )= D(y)u(x)+ yD (x) hold where u is a homomorphism of R, for all x,yin R. An additive mapping G:R→ R is a u-generalized reverse derivation if there exists a derivation D from R to R such that G(xy )=G(y)u(x)+ yD (x),for all x,y∈R and an additive mapping G:R→ R is a Jordan u- generalized reverse derivation if there exists a derivation D:R→ R such that G(x 2 )=G(x)u(x)+ xD (x),for all x∈R. An additive mapping D from R to itself is a u−* reverse derivation if D(xy )=u(x)D(y)+D(x)y, where u is an anti - homomorphism in R, for all x,y∈R. An additive mapping G:R→ R is a u−* generalized reverse derivation if there exists a derivation D from R to R such that G(xy )=u(x)G(y)+D(x)y, where u is an anti-homomorphism in R, for all x,y∈Rand an additive mapping G:R→ R is a Jordan u−*generalized reverse derivation if there exists a derivation from R to R such that G(x 2 )= u(x)G(x)+D(x)x, where u is an anti-homomorphism in R, for all x∈R. Clearly, every u-generalized derivation on a ring is a Jordan u-generalized derivation. But the converse statement does not hold in general. Throughout this paper R will be a semiprime ring and Z its center.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"71 5","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114099466","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":"Disproof the four counterexamples for Beal's conjecture","authors":"dos Santos Godoi, Valdir Monteiro","doi":"10.18052/WWW.SCIPRESS.COM/BMSA.13.13","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BMSA.13.13","url":null,"abstract":"In journal, probably by mistake, was published a paper which intended give some counterexamples of the Beal's conjecture. Unfortunately these counterexamples are wrong, and the Beals conjecture hold true.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"51 3","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120983278","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 Meijer's G-Functions: Convenient for Describing β Decay in Unstable Nuclei","authors":"A. Pishkoo","doi":"10.18052/WWW.SCIPRESS.COM/BSMASS.14.33","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BSMASS.14.33","url":null,"abstract":"The purpose of this paper is to show that the Meijer's G-functions which include all elementary and most of the special functions can describe some phenomena in nuclear physics. In fact, some interesting properties of Meijer's G-functions triggered us to apply these functions in the process β decay. These functions act as \"wave functions\" for parent and daughter nuclei.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133706556","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 Simplest Meijer's G-Function G0,11,0 as the Radial Functions of the Hydrogen Atom","authors":"A. Pishkoo","doi":"10.18052/WWW.SCIPRESS.COM/BSMASS.14.28","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BSMASS.14.28","url":null,"abstract":"The purpose of this paper is to show that how the sub-family of Meijer's G- functions, , deduces all the radial states of the Hydrogen atom. By introducing two postulates and using operator method similar with the method used for the simple harmonic oscillator we obtain all the excited radial states of the Hydrogen atom from the ground state. It is just needed to use two properties of Meijer's G-functions.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134354362","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}