Studies in Mathematical Sciences
http://cscanada.net/index.php/sms
<p><strong><a title="Authors" href="/index.php/sms/author" target="_blank">Authors</a> <a title="Reviewers" href="/index.php/sms/reviewer" target="_blank">Reviewers</a> <a title="Editors" href="/index.php/sms/sectionEditor" target="_blank">Editors</a></strong></p>Canadian Research & Development Center of Sciences and Culturesen-USStudies in Mathematical Sciences1923-8444<p>The authors agree that:</p><ol><li>Authors of reports of original research should present an accurate account of the work performed as well as an objective discussion of its significance.</li><li>The authors should ensure that they have written entirely original works, and if the authors have used the work and/or words of others that this has been appropriately cited or quoted.</li><li>An author should not in general publish manuscripts describing essentially the same research in more than one journal or primary publication. Submitting the same manuscript to more than one journal concurrently constitutes unethical publishing behavior and is unacceptable.</li><li>Authorship should be limited to those who have made a significant contribution to the conception, design, execution, or interpretation of the reported study. All those who have made significant contributions should be listed as co-authors. Where there are others who have participated in certain substantive aspects of the research project, they should be acknowledged or listed as contributors.</li><li>When an author discovers a significant error or inaccuracy in his/her own published work, it is the author’s obligation to promptly notify the journal editor or publisher and cooperate with the editor to retract or correct the paper. If the editor or the publisher learns from a third party that a published work contains a significant error, it is the obligation of the author to promptly retract or correct the paper or provide evidence to the editor of the correctness of the original paper.</li><li>The author assigns, conveys, and otherwise transfers all rights, title, interest, and copyright ownership in this “Work” to our journal when the "Work" is accepted for publication. "Work” means the material submitted for publication plus any other related material submitted.</li><li>The assignment of rights to our journal includes but is not expressly limited to rights to edit, publish, reproduce, distribute copies, prepare derivative works, include in indexes or search databases in print, electronic, or other media, whether or not in use at the time of execution of this agreement, and claim copyright in said work throughout the world for the full duration of the copyright and any renewals or extensions thereof.</li><li>If the authors cannot obey the previous terms and cause legal problems, the authors will take the full responsibilities.</li></ol>Stability of Nested Queue Model With Finite Waiting Capacity
http://cscanada.net/index.php/sms/article/view/j.sms.1923845220130702.2866
<p>Abstract: The paper describes a mathematical model to identify the conditions of stability for a two stage nested queue model. We envisioned the two stages as two stations in a hospital that a patient passes through before completing service. In the first station there are two servers (i.e., nurses) which attend to the patient. When a patient arrives to the first station he/she is served by one of the two servers, the server serves the patient and stays with the customer until the service in the second station of the model is completed. In the second station, another server (i.e., doctor) attends to the customer with the cooperation of first station server. The service rates of the servers and arrival rates of the patients follow exponential distribution. The mathematical model is also used to determine the conditions that allow the patients in system to be served effectively. To estimate the conditions of stability, the steady state probabilities have been calculated and stability behavior has been given for special cases.</p>Anju BhattJaejin Jang2013-11-302013-11-307Path-Independence of Work Done Theorem Is Invalid in Center-Bound Force Fields
http://cscanada.net/index.php/sms/article/view/j.sms.1923845220130702.2469
<p>Abstract: The notion of work done, and the corresponding to it concept of potential energy, was incompletely defined making the path independence theorem of work done by center-bound force fields invalid for other than radial/conservative forces. Hence nonradial effects along equipotential surfaces, whose presence was suggested by experiments, can exist. New, mathematically complete representation of work done by center-bound force fields (generated by a single source) is offered.</p>Jakub Czajko2013-11-302013-11-307Equipotential Energy Exchange Depends on Density of Matter
http://cscanada.net/index.php/sms/article/view/j.sms.1923845220130702.2752
<p>Abstract: Potential energy exchanged for work done by radial/center-bound gravitational force field along equipotential surfaces (where the radial potential remains unchanged by definition), depends also on density of matter of the source mass that is responsible for generating the locally dominant field. To the extent that equipotential hence nonradial parts of trajectory paths (of the objects that move within the field) are exposed to the (nonrotating) field’s influence, the moving objects’ energy is lost (regardless of direction of the nonradial part of their motion) and transferred to the field. Mathematically derived, with the use of (new) synthetic mathematics, a new law governing nonradial exchange of potential energy generalizes the previous law that has been derived from physical considerations and had already been confirmed by several experiments and observations.</p>Jakub Czajko2013-11-302013-11-307Countably Semiadditive Functionals and the Hardy–Littlewood Maximal Operator
http://cscanada.net/index.php/sms/article/view/j.sms.1923845220130702.1760
<p>Abstract: We describe the continuity of nonlinear Hardy–Littlewood maximal operator in nonmetricable function space<img src="/public/site/images/yanxi/11.gif" alt="" /><img src="/public/site/images/yanxi/2.gif" alt="" />, <img src="/public/site/images/yanxi/3.gif" alt="" /> is a measurable subset of Rn with finite measure.</p>E. I. BerezhnojE. I. Smirnov2013-11-302013-11-307Proof of the Jie Bove Conjecture
http://cscanada.net/index.php/sms/article/view/j.sms.1923845220130702.2936
<p>Abstract: In 1855, the mathematician Jie Bove proposed a primes distribution conjecture of small regional called Jie Bove conjecture. This article proposed and demonstrated the regional distribution theorem of primes and proved Jie Bove conjecture.</p>Dan LIU2013-11-302013-11-307Statistical Appraisal of Maximum Age Requirement for Commercial Airplanes in Nigeria
http://cscanada.net/index.php/sms/article/view/j.sms.1923845220130702.9205
<p>This paper proposes and uses a factor of relative age difference for each plane termed relative “plane age”, index. Using these indexes and their ranks, it is shown that the enunciated mandatory upper age limit of 20 years is approximately the mean age of the commercial planes in the country estimated to be 20.7 years, but higher than the median age of the planes found to be 19.4years. Thus if median age of 19.4 or about 19 years rather than 20 years is to be set as the required upper age limit, then only about 33 or 34 rather than 37 commercial planes would be properly eligible to fly Nigeria’s airspace. Statistically significant differences in age are found to exist between commercial planes that may importantly affect their operation. Relative “plane age” indexes that are positive with a value of 17 or larger so that the corresponding planes are younger than at least 42 and older than at most 25 other planes and aged at most 15.3 years are statistically significant; while those relative “plane age” indexes that are negative with a value of at most 20 so that the corresponding planes are younger than at most 23 and older than at least 43 other planes and aged at least 21.2 years are statistically significant. Hence if age is to be considered as a statistical factor affecting air-worthiness of commercial planes, then the upper age limit of 15.3 or 15 years should be preferred and used as a selection eligibility criterion for commercial planes in Nigeria. This will in effect imply that no plane aged above 15.3 years may be allowed to fly resulting in only about 26 commercial planes rather than 37 as is the case under the current dispensation being able to properly and normally use Nigeria’s airspace.</p>Ikewelugo Cyprian Anaene OyekaGodday Uwawunkonye Ebuh2013-11-302013-11-307The Dual Space χ2 of Double Sequences
http://cscanada.net/index.php/sms/article/view/j.sms.1923845220130702.2483
<p><img src="/public/site/images/yanxi/12.png" alt="" /></p>N. SubramanianU. K. Misra2013-11-302013-11-307