Bulletin of Mathematical Sciences and Applications最新文献

{"title":"Lanczos approach to Noether's theorem","authors":"P. Lam-Estrada, J. López-Bonilla, R. López-Vázquez","doi":"10.18052/WWW.SCIPRESS.COM/BSMASS.11.1","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BSMASS.11.1","url":null,"abstract":"If the action is invariant under the infinitesimal transformation then the Noether's theorem permits to construct the corresponding conserved quantity. The Lanczos method accepts that is a new degree of freedom, thus the Euler-Lagrange equation for this new variable gives the Noether's constant of motion.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"2 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":"127498647","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":"An outline of Cosmology based on interpretation of the Johannine Prologue","authors":"V. Christianto","doi":"10.18052/WWW.SCIPRESS.COM/BSMASS.11.4","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BSMASS.11.4","url":null,"abstract":"As we know there are two main paradigms concerning the origin of the Universe: the first is Big-Bang Theory, and the other is Creation paradigm. But those two main paradigms each have their problems, for instance Big Bang Theory assumes that the first explosion was triggered by chance alone, therefore it says that everything emerged out of vacuum fluctuation caused by pure statistical chance. By doing so, its proponents want to avoid the role of the Prime Mover (God). Of course there are also other propositions such as the Steady State theory or Cyclical universe, but they do not form the majority of people in the world. On the other side, Creation Theory says that the Universe was created by God in 6x24 hours according to Genesis chapter 1, although a variation of this theory says that it is possible that God created the Universe in longer period of thousands of years or even billions of years. But such a proposition seems not supported by Biblical texts. To overcome the weaknesses of those main paradigms, I will outline here another choice, namely that the Universe was created by Logos (Christ in His pre-existence). This is in accordance with the Prolegomena of the Gospel of John, which says that the Logos was there in the beginning (John 1:1). I describe 3 applications of the classical wave equation according to Shpenkov, i.e. hydrogen energy states, periodic table of elements, and planetary orbit distances. For sure, Shpenkov derived many more results beside these 3 phenomena as discussed in his 3 volume books and many papers, but these 3 phenomena are selected to give clear examples of what can be done with the classical wave equation. And then I extend further the classical wave equation to fractal vibrating string. While of course this outline is not complete, this article is written to stimulate further investigations in this direction.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"30 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":"125482433","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":"Proof of Four Color Map Theorem by Using PRN of Graph","authors":"H. Bhapkar, J. N. Salunke","doi":"10.18052/WWW.SCIPRESS.COM/BSMASS.11.26","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BSMASS.11.26","url":null,"abstract":"This paper intends to study the relation between PRN and chromatic number of planar graphs. In this regard we investigate that isomorphic or 1 isomorphic graph may or may not have equal PRN and few other related results. Precisely, we give simple proof of Four Color Map Theorem.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"40 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":"121539220","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":"Rotations in Minkowski Spacetime","authors":"I. Guerrero-Moreno, G. Leija-Hernández, J. López-Bonilla","doi":"10.18052/WWW.SCIPRESS.COM/BSMASS.11.23","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BSMASS.11.23","url":null,"abstract":"With the relation of Olinde Rodrigues-Cartan is obtained an expression for the Lorentz matrix, and it is transformed to a better form for the Newman-Penrose formalism, thus it is possible to realize rotations of the null tetrad of NP.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"37 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":"114932102","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":"Particle Knots in Toric Modular Space","authors":"J. Wet","doi":"10.18052/WWW.SCIPRESS.COM/BMSA.9.45","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BMSA.9.45","url":null,"abstract":"The goal of this contribution is to relate quarks to knots or loops in a 6-space CP 3 that then collapses into a torus in real 3-space P 3 instantaneously after the Big Bang, and massive inflation, when 3 quarks unite to form nucleons.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117123630","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":"Static Deformation Due to a Long Tensile Fault of Finite Width in an Isotropic Half-Space Welded with an Orthotropic Half-Space","authors":"Yogita Godara, Ravinder Kumar Sahrawat, Mahabir Singh","doi":"10.18052/www.scipress.com/bmsa.9.11","DOIUrl":"https://doi.org/10.18052/www.scipress.com/bmsa.9.11","url":null,"abstract":"Closed-form analytical expressions for displacements and stresses at any point of a two- phase medium consisting of a homogeneous, isotropic, perfectly elastic half-space in welded contact with a homogeneous, orthotropic, perfectly elastic half-space caused by a tensile fault of finite width located at an arbitrary distance from the interface in the isotropic half-space are obtained. The Airy stress function approach is used to obtain the expressions for the stresses and displacements. The vertical tensile fault is considered graphically. The variations of the displacements with the distance from the fault and with depth for various cases have been studied graphically. Also horizontal and vertical displacement of the surface are presented graphically.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125367657","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":"Continuity of Partially Ordered Soft Sets via Soft Scott Topology and Soft Sobrification","authors":"A. Sayed","doi":"10.18052/WWW.SCIPRESS.COM/BMSA.9.79","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BMSA.9.79","url":null,"abstract":"This paper, based on the concept of partially ordered soft sets (possets, for short) which proposed by Tanay and Yaylali [23], we will give some other concepts which are developing the possets and helped us in obtaining a generalization of some important results in domain theory which has an important and central role in theoretical computer science. Moreover, We will establish some characterization theorems for continuity of possets by the technique of embedded soft bases and soft sobrification via soft Scott topology, stressing soft order properties of the soft Scott topology of possets and rich interplay between topological and soft order-theoretical aspects of possets. We will see that continuous possets are all embedded soft bases for continuous directed completely partially ordered soft set (i.e., soft domains), and vice versa. Thus, one can then deduce properties of continuous possets directly from the properties of continuous soft domains by treating them as embedded bases for continuous soft domains. We will see also that a posset is continuous if its soft Scott topology is a complete completely distributive soft lattice","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"95 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127850251","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":"Locating Equitable Domination and Independence Subdivision Numbers of Graphs","authors":"P. Sumathi, G. Alarmelumangai, E. M. G. Yadava","doi":"10.18052/WWW.SCIPRESS.COM/BMSA.9.27","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BMSA.9.27","url":null,"abstract":"Let G = (V,E) be a simple, undirected, finite nontrivial graph. A non empty set DV of vertices in a graph G is a dominating set if every vertex in V-D is adjacent to some vertex in D. The domination number (G) is the minimum cardinality of a dominating set of G. A dominating set D is a locating equitable dominating set of G if for any two vertices u,wV- D, N(u)D  N(w)D, N(u)D=N(w)D. The locating equitable domination number of G is the minimum cardinality of a locating equitable dominating set of G. The locating equitable domination subdivision number of G is the minimum number of edges that must be subdivided(where each edge in G can be subdivided at most once) in order to increase the locating equitable domination number and is denoted by sdle(G). The independence subdivision number sdle(G) to equal the minimum number of edges that must be subdivided in order to increase the independence number. In this paper, we establish bounds on sdle(G) and sdle(G) for some families of graphs. For notation and graph theory terminology, we in general follow (3). Specifically, a graph G is a finite nonempty set V(G) of objects called vertices together with a possibly empty set E(G) of 2- element subsets of V(G) called edges. The order of G is n(G) = V(G) and the size of G is m(G) = E(G) . The degree of a vertex vV(G) in G is dG(v) = NG(v) . A vertex of degree one is called an end-vertex. The minimum and maximum degree among the vertices of G is denoted by (G) and (G), respectively. Further for a subset S  V(G), the degree of v in S, denoted ds(v), is the number of vertices in S adjacent to v; that is,ds(v) =N(v)S . In particular, dG(v) = dv(v). if the graph G is clear from the context, we simply write V,E,n,m,d(v),  and  rather than V(G),E(G),n(G),m(G),dG(v), (G) and (G), respectively. The closed neighborhood of a vertex uV is the set N(u)= {u}{v/uv}. Given a set S  V of vertices and a vertex uS, the private neighbor set of u, with respect to S, is the set pn(n,S) = N(u) - N( S - {u}). We say that every vertex vpn(u,S) is a private neighbor of u with respect to S. Such a vertex v is adjacent to u but is not adjacent to any other vertex of S, then it is an isolated vertex in the subgraph G(S) induced by S. In this case, upn(u,S), and we say that u is its own private neighbor. We note that if a set s is a (G)-set, then for every vertex uS, pn(u,S)  , i.e., every vertex of S has at least one private neighbor. It can be seen that if S is a (G)-set, and two vertices u,v S are adjacent, then each of u and v must have a private neighbor other than itself. We will slao use the following terminology. Let vV be a vertex of degree one; v is called a leaf. The only vertex adjacent to a leaf, say u, is called a support vertex, and the edge uv is called a pendant edge.Two edges in a graph G are independent if they are not adjacent in G. The distance dG(u,v) or d(u,v) between two vertices u and v in a graph G, is the length of a","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115108193","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":"Magic Graphoidal on Class of Trees","authors":"A. Murugan","doi":"10.18052/WWW.SCIPRESS.COM/BMSA.9.33","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BMSA.9.33","url":null,"abstract":"B.D.Acharya and E. Sampathkumar (1) defined Graphoidal cover as partition of edge set of a graph G into internally disjoint paths (not necessarily open). The minimum cardinality of such cover is known as graphoidal covering number of G.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124192175","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":"A Delay Differential Equation Model of HIV Infection, with Therapy and CTL Response","authors":"B. E. Boukari, N. Yousfi","doi":"10.18052/WWW.SCIPRESS.COM/BMSA.9.53","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BMSA.9.53","url":null,"abstract":"In this work we investigate a new mathematical model that describes the interactions between CD4+ T cells, human immunodeficiency virus (HIV), immune response and therapy with two drugs. Also an intracellular delay is incorporated into the model to express the lag between the time the virus contacts a target cell and the time the cell becomes actively infected. The model dynamics is completely defined by the basic reproduction number R0 . If R0 ≤ 1 the disease-free equilibrium is globally asymptotically stable, and if R0 > 1, two endemic steady states exist, and their local stability depends on value of R0 . We show that the intracellular delay affects on value of R0 because a larger intracellular delay can reduce the value of R0 to below one. Finally, numerical simulations are presented to illustrate our theoretical results.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114099709","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}