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Maximal Coupling Procedure and Stability of Continuous-Time Markov Chains 连续时间马尔可夫链的极大耦合过程与稳定性
Bulletin of Mathematical Sciences and Applications Pub Date : 2014-11-03 DOI: 10.18052/WWW.SCIPRESS.COM/BMSA.10.30
Mokaedi V. Lekgari
{"title":"Maximal Coupling Procedure and Stability of Continuous-Time Markov Chains","authors":"Mokaedi V. Lekgari","doi":"10.18052/WWW.SCIPRESS.COM/BMSA.10.30","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BMSA.10.30","url":null,"abstract":"In this study we first investigate the stability of subsampled discrete Markov chains through the use of the maximal coupling procedure. This is an extension of the available results on Markov chains and is realized through the analysis of the subsampled chain , where is an increasing sequence of random stopping times. Then the similar results are realized for the stability of countable-state Continuous-time Markov processes by employing the skeleton-chain method.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"59 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125385950","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
ESTIMATION OF TECHNOGENIC DANGER RISK OF TECHNICO- ECONOMIC SYSTEMS 技术经济系统技术危险风险的估计
Bulletin of Mathematical Sciences and Applications Pub Date : 2014-11-03 DOI: 10.18052/WWW.SCIPRESS.COM/BMSA.10.23
N. Petrov
{"title":"ESTIMATION OF TECHNOGENIC DANGER RISK OF TECHNICO- ECONOMIC SYSTEMS","authors":"N. Petrov","doi":"10.18052/WWW.SCIPRESS.COM/BMSA.10.23","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BMSA.10.23","url":null,"abstract":"Introduction: The risk as an event or set of events, holds a variety of discrete and/or ongoing implementations, each of which has its likelihood of occurrence and the amount of damage. The risk in modern science, culture and society is the summary category as sin, justice, value, meaning, etc. (Ivan Poptchev, Strategies for managing the risk of NBU, Sofia, 2004, p. 5, p. 6) [1]. Under the techno-economic system (TES) is a system of interacting manufacturing engineering (technology) equipment for automation and human operator [2]. The refusal of the FE of the TES is the reason for the technogenic danger (risk), continued throughout the period of technical operation (TO) of the systems [4]. For example, on the aircraft during flight is possible to be denied imposing performance of repair of the service crew, if the refused is not reserved with the FE upright one. In addition, the need to increase the technical resource of aircraft requires the placement of new technological systems (connected in parallel or in sequence of old), compatible with the available standard systems installed by the manufacturer. Similarly, is the State with the TES of a pipeline, the composite FE (units of pipelines) that pass through the village. It should be borne in mind that the maximum level of probability of failure of arbitrary complex TES is 10 -9 , i.e. on a billion connections in nature one of them failed [2].","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131336085","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
A criterion for (non-)planarity of theblock-transformation graph G αβγ when αβγ = 101 当αβγ = 101时块变换图G αβγ(非)平面性的判据
Bulletin of Mathematical Sciences and Applications Pub Date : 2014-11-03 DOI: 10.18052/WWW.SCIPRESS.COM/BMSA.10.38
B. Basavanagoud, Jaishri B. Veeragoudar
{"title":"A criterion for (non-)planarity of theblock-transformation graph G αβγ when αβγ = 101","authors":"B. Basavanagoud, Jaishri B. Veeragoudar","doi":"10.18052/WWW.SCIPRESS.COM/BMSA.10.38","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BMSA.10.38","url":null,"abstract":"The general concept of the block-transformation graph G αβγ was introduced in (1). The vertices and blocks of a graph are its members. The block-transformation graph G 101 of a graph G is the graph, whose vertex set is the union of vertices and blocks of G, in which two vertices are adjacent whenever the corresponding vertices of G are adjacent or the corresponding blocks of G are nonadjacent or the corresponding members of G are incident. In this paper, we present characterizations of graphs whose block-transformation graphs G 101 are planar, outerplanar or minimally nonouterplanar. Further we establish a necessary and sufficient condition for the block- transformation graph G 101 to have crossing number one.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127605918","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
SEPARATION AXIOMS INQUAD TOPOLOGICAL SPACES 拓扑空间中的分离公理
Bulletin of Mathematical Sciences and Applications Pub Date : 2014-11-03 DOI: 10.18052/WWW.SCIPRESS.COM/BMSA.10.16
U. D. Tapi, Ranu Sharma, Bhagyashri A. Deole
{"title":"SEPARATION AXIOMS INQUAD TOPOLOGICAL SPACES","authors":"U. D. Tapi, Ranu Sharma, Bhagyashri A. Deole","doi":"10.18052/WWW.SCIPRESS.COM/BMSA.10.16","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BMSA.10.16","url":null,"abstract":"In this paper, we introduce separation axioms in quad topological space (q topological spaces) and study some of their properties.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"107 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132972742","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
A Derivation of Proca Equations on Cantor Sets: A Local Fractional Approach Cantor集上Proca方程的求导:一个局部分数方法
Bulletin of Mathematical Sciences and Applications Pub Date : 2014-11-03 DOI: 10.18052/WWW.SCIPRESS.COM/BMSA.10.48
V. Christianto, Biruduganti. Rahul
{"title":"A Derivation of Proca Equations on Cantor Sets: A Local Fractional Approach","authors":"V. Christianto, Biruduganti. Rahul","doi":"10.18052/WWW.SCIPRESS.COM/BMSA.10.48","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BMSA.10.48","url":null,"abstract":"In a recent paper published at Advances in High Energy Physics (AHEP) journal, Yang Zhao et al. derived Maxwell equations on Cantor sets from the local fractional vector calculus. It can be shown that Maxwell equations on Cantor sets in a fractal bounded domain give efficiency and accuracy for describing the fractal electric and magnetic fields. Using the same approach, elsewhere Yang, Baleanu & Tenreiro Machado derived systems of Navier-Stokes equations on Cantor sets. However, so far there is no derivation of Proca equations on Cantor sets. Therefore, in this paper we present for the first time a derivation of Proca equations and GravitoElectroMagnetic (GEM) Proca-type equations on Cantor sets. Considering that Proca equations may be used to explain electromagnetic effects in superconductor, We suggest that Proca equations on Cantor sets can describe electromagnetic of fractal superconductors; besides GEM Proca-type equations on Cantor sets may be used to explain some gravitoelectromagnetic effects of superconductor for fractal media. It is hoped that this paper may stimulate further investigations and experiments in particular for fractal superconductor. It may be expected to have some impact to fractal cosmology modeling too.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127056645","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
On âg Compact Spaces 关于<s:1> g紧空间
Bulletin of Mathematical Sciences and Applications Pub Date : 2014-11-03 DOI: 10.18052/WWW.SCIPRESS.COM/BMSA.10.19
V. Senthilkumaran, R. Krishnakumar, Y. Palaniappan
{"title":"On âg Compact Spaces","authors":"V. Senthilkumaran, R. Krishnakumar, Y. Palaniappan","doi":"10.18052/WWW.SCIPRESS.COM/BMSA.10.19","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BMSA.10.19","url":null,"abstract":"","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"155 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126736658","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
The Question of Ambiguity in Mathematics and some of Arising from these Extraordinary Consequences (Elementary Aspect) 数学中的模糊性问题及由此产生的一些异常结果(初级方面)
Bulletin of Mathematical Sciences and Applications Pub Date : 2014-11-03 DOI: 10.18052/WWW.SCIPRESS.COM/BMSA.10.1
Reuven Tint, K. Gandhi, M. Tint
{"title":"The Question of Ambiguity in Mathematics and some of Arising from these Extraordinary Consequences (Elementary Aspect)","authors":"Reuven Tint, K. Gandhi, M. Tint","doi":"10.18052/WWW.SCIPRESS.COM/BMSA.10.1","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BMSA.10.1","url":null,"abstract":"This paper proposes a complete elementary without reference to other sources (except for Euler), first proof of the Fermat's Last Theorem. We resolve the question of the ambiguous expansion in the Binomial theorem, Resolved the question of the ambiguity certain infinite sequences of the Euler. Given other versions proof of FLT, We consider and solve the question of not available modern geometric representation of continuous functions without derivatives at any point.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127484396","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
N Positive Integers Whose Product is Equal to M-Times of their Sum N个正整数，其乘积等于m乘以它们的和
Bulletin of Mathematical Sciences and Applications Pub Date : 2014-09-01 DOI: 10.18052/WWW.SCIPRESS.COM/BSMASS.11.21
Satish Kumar, H. Kishan
{"title":"N Positive Integers Whose Product is Equal to M-Times of their Sum","authors":"Satish Kumar, H. Kishan","doi":"10.18052/WWW.SCIPRESS.COM/BSMASS.11.21","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BSMASS.11.21","url":null,"abstract":"In this article, the problem proposed by Hitesh Jain (2014) has been solved and generalized. Introduction: Recently,Hitesh Jain (2014), presented an open problem that for each positive integer , find N positive integers (not necessarily distinct) whose sum is equal to their roduct. In this article, the above problem has been generalized. It is presented and solved that the product of N positive integers (not necessarily distinct) is M-times of their sum.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"94 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133166207","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
Singular Value Decomposition 奇异值分解
Bulletin of Mathematical Sciences and Applications Pub Date : 2014-09-01 DOI: 10.18052/WWW.SCIPRESS.COM/BSMASS.11.13
J. Caltenco, J. López-Bonilla, B. Carvajal-Gámez, P. Lam-Estrada
{"title":"Singular Value Decomposition","authors":"J. Caltenco, J. López-Bonilla, B. Carvajal-Gámez, P. Lam-Estrada","doi":"10.18052/WWW.SCIPRESS.COM/BSMASS.11.13","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BSMASS.11.13","url":null,"abstract":"We study the SVD of an arbitrary matrix , especially its subspaces of activation, which leads in natural manner to pseudoinverse of Moore-Bjenhammar-Penrose. Besides, we analyze the compatibility of linear systems and the uniqueness of the corresponding solution, and our approach gives the Lanczos classification for these systems.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121481146","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: 10
On Solution of Two-Point Fuzzy Boundary Value Problems 两点模糊边值问题的解法
Bulletin of Mathematical Sciences and Applications Pub Date : 2014-09-01 DOI: 10.18052/WWW.SCIPRESS.COM/BSMASS.11.31
Hülya Gültekin, N. Altınışık
{"title":"On Solution of Two-Point Fuzzy Boundary Value Problems","authors":"Hülya Gültekin, N. Altınışık","doi":"10.18052/WWW.SCIPRESS.COM/BSMASS.11.31","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BSMASS.11.31","url":null,"abstract":"Fuzzy set theory is a powerful tool for modeling uncertainly and for processing vague or subjective information in mathematical models [3]. Particulary, the study of fuzzy differential equation forms a suitable setting for mathematical modeling of real world problems in which uncertainties or vagueness pervade. In fact, fuzzy differential equations is a very important topic from theoretical point of view [5], [6], [7], [9] and also it has applications, for example, in population models [4], civil engineering [8], medicine [1], [2]. In this paper, an investigation is made on the solution of two-point fuzzy boundary value problems by using the Hukuhara differentiability. To put it precisely, the two-point fuzzy boundary value problem is given as the form","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":" 79","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120827081","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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