Journal of Informatics and Mathematical Sciences http://www.rgnpublications.com/journals/index.php/jims <div id="focusAndScope"> <p>The <strong>Journal of Informatics and Mathematical Sciences</strong> is being regularly published since 2009. Its aim is to publish the original research articles pertaining to various branches mentioned below (but not limited to):</p> <table border="0" width="770" cellspacing="2" cellpadding="2"> <tbody> <tr> <td valign="top"> <ul> <li>Algebra</li> <li>Analysis</li> <li>Applications of Mathematics to Various Branches of Engineering</li> <li>Approximation Theory</li> <li>Artificial Intelligence</li> <li>Artificial Intelligence and Pattern Recognition</li> <li>Bayesian Statistics</li> <li>Big Data</li> <li>Biological Computing</li> <li>Cloud, P2p &amp; Mobile Computing</li> <li>Coding Theory</li> <li>Cognitive Informatics</li> <li>Combinatorial Optimization</li> <li>Computability and Computer Complexities</li> <li>Computational Aspects of Geometry and Algebra</li> <li>Computational Mathematics</li> <li>Computer-Aided Design</li> <li>Computer Architecture and Systems</li> <li>Computer Networks and Communications Security</li> <li>Computer Networks and Distributed Computing</li> <li>Computer Science</li> <li>Control Theory</li> <li>Cryptography</li> <li>Data Science and Management</li> <li>Decision Sciences</li> <li>Decision Support Systems</li> <li>Dynamical Systems</li> <li>Education</li> <li>Education and Teaching </li> <li>Education and Learning</li> <li>Electronic Commerce</li> <li>Electronic Sciences</li> <li>Electronic Supply Chain Management</li> <li>Entrepreneurial Management</li> <li>Ethics of Big Data</li> <li>Evolutionary Computing</li> <li>Expert Systems and Artificial Intelligence</li> <li>Exploratory Data Analysis</li> <li>Functional Equations</li> <li>Fuzzy Set Theory</li> <li>Game Theory</li> <li>Geometry and Topology</li> <li>Gis and Applications</li> <li>Graphics &amp; Animation</li> <li>Green and Cloud Computing</li> <li>Green Computing</li> <li>Health Care Management</li> </ul> </td> <td valign="top"> <ul> <li>Information Security &amp; Cryptosystems</li> <li>Information Technology</li> <li>Information Theory</li> <li>Insurance &amp; Risk Management</li> <li>Intelligence Transportation System</li> <li>Internet of Things (IoT)</li> <li>Legal Studies &amp; Business Ethics</li> <li>Leisure &amp; Sports Management</li> <li>Loud Computing in Business Intelligence</li> <li>Mathematical Economics</li> <li>Mathematical Linguistics</li> <li>Mathematical Logic</li> <li>Mathematical Modelling</li> <li>Mathematical Physics</li> <li>Mathematical Theory of Artificial Intelligence</li> <li>Mathematics Education</li> <li>Mechanics</li> <li>Microwave Theory &amp; Techniques</li> <li>Modeling and Simulation</li> <li>Multimedia &amp; Simulation</li> <li>Nanoengineering and Applications</li> <li>Nanoscience</li> <li>Network Protocol Evaluation</li> <li>Next-Generation Sequencing</li> <li>Number Theory</li> <li>Numerical Analysis</li> <li>Operation Research Including Reliability Theory and Queueing Theory</li> <li>Optimization Theory</li> <li>Organization Management</li> <li>Parallel Computing and Artificial Neural Network Theory</li> <li>Precision Agriculture</li> <li>Probability Theory and Statistics</li> <li>Quantum Cognition</li> <li>Sensor Networks</li> <li>Smart Analytics</li> <li>Social Network Analysis</li> <li>Software Systems</li> <li>Statistics</li> <li>Stochastic Process</li> <li>Sustainability and Efficiency</li> <li>Sustainable Computing and Technologies</li> <li>Text Mining</li> <li>Theory and Algorithms Areas</li> <li>Ubiquitous Computing</li> <li>Visualization Analytics</li> <li>Wireless Communication</li> <li>Wireless Sensor Networks</li> </ul> </td> </tr> </tbody> </table> <p>To ensure speedy publication, only articles which are sufficiently well presented, contain significant results and not required major revisions will be considered. Papers are accepted only after peer review.</p> <p>Editorial decisions on the acceptance or otherwise are taken quickly, normally within 4 to 8 weeks (two months) of receipt of the paper. </p> <p>The journal will also publish survey articles giving details of research progress made during the last three decades in a particular area.</p> </div> <div id="peerReviewProcess"> <p><strong>Peer Review Process:</strong> A submitted paper will be refereed by atleast one referee. The editorial board will make the decision within four to eight weeks after submission.</p> </div> <div id="publicationFrequency"> <p><strong>Publication Frequency:</strong> The "Journal of Informatics and Mathematical Sciences" publishes three issues per volume in a year.</p> </div> RGN Publications en-US Journal of Informatics and Mathematical Sciences 0974-875X <span>Authors who publish with this journal agree to the following terms:</span><br /><ul><li>Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.</li><li>Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.</li><li>Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.</li></ul> Some Results on the Spectral Radius of Banach Algebra http://www.rgnpublications.com/journals/index.php/jims/article/view/1798 <p>Al-Banach algebra was introduced in 1940 by Russian mathematician I.M. Gelfand and arose from the observation that some Banach spaces exhibit interesting properties when they can be provided with operations and examples. Among the linear functions adopted in Al-Banach commutative algebra and its maxima, as well as with the spectra of its elements in one way or another that leads us towards the central component of the spectra mapping theory and the spectral radius formula. In this paper, we get some results on the spectral radius of Al-Banach algebra.</p> Luma Barghooth Copyright (c) 2022 Journal of Informatics and Mathematical Sciences 2022-03-30 2022-03-30 14 1 10.26713/jims.v14i1.1798 Effects of Triaxiality of Primaries on Existence and Stability of Collinear Equilibrium Points in Elliptical Restricted Three Body Problem http://www.rgnpublications.com/journals/index.php/jims/article/view/1947 <p>This paper deals with the motion of oblate infinitesimal mass around the triaxial primaries in the framework of elliptical restricted three body problem. The triaxial primaries are moving around each other in elliptic orbits about the common barycentre and the oblate infinitesimal is moving in the neighbourhood of collinear equilibrium points. It is observed that location and stability of the oblate infinitesimal around the collinear points are affected by the triaxiality of primaries.\ Furthermore, the results shown that the behaviour of infinitesimal mass around the collinear points \(L_1\) and \(L_2\) are unstable, while the behaviour of infinitesimal mass around \(L_3\) is shown stable for some parameters of triaxiality of primaries.</p> Shilpi Dewangan Poonam Duggad A. Narayan Copyright (c) 2022 Journal of Informatics and Mathematical Sciences 2022-03-30 2022-03-30 14 1 10.26713/jims.v14i1.1947 Resonance Stability of Oblate Infinitesimal in the Neighbourhood of Triangular Equilibrium Points for Triaxial Primaries in the Elliptic Restricted Three Body Problem http://www.rgnpublications.com/journals/index.php/jims/article/view/2123 <p>The present study aims to investigates the existence of resonance and linear stability of oblate infinitesimal in the neighbourhood of triangular equilibrium points of the elliptical restricted three body problem, considering effect of triaxial primaries in circular and elliptical cases. For this the Hamiltonian function, convergent in nature and describing the motion of the infinitesimal body in the neighbourhood of the triangular equilibrium solutions is derived. Also, the Hamiltonian for the system is expanded in powers of the generalized components of momenta. Further, canonical transformation has also been used to study the stability of the triangular equilibrium points. The study primarily focuses on establishing the relation for determining the range of stability at and near the resonance frequency at \(\omega _2 =\frac{1}{2}\). It is observed that the parametric resonance is only possible at the resonance frequency \(\omega _2 =\frac{1}{2}\) in circular and elliptical cases.</p> Shilpi Dewangan Poonam Duggad A. Narayan Copyright (c) 2022 Journal of Informatics and Mathematical Sciences 2022-03-30 2022-03-30 14 1 10.26713/jims.v14i1.2123