Studies in Mathematical Sciences最新文献

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On Defined by Modulus 关于由模定义的
Studies in Mathematical Sciences Pub Date : 2014-08-15 DOI: 10.3968/5450
N. Subramanian
{"title":"On Defined by Modulus","authors":"N. Subramanian","doi":"10.3968/5450","DOIUrl":"https://doi.org/10.3968/5450","url":null,"abstract":"In this paper we defined the   defined by a modulus and exhibit some general properties of the space with an four dimensional infinite regular matrix.","PeriodicalId":319071,"journal":{"name":"Studies in Mathematical Sciences","volume":"232 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131736240","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
Research on the Distribution of MersennePrimes Based on Zhou’s Conjecture 基于周猜想的梅森素数分布研究
Studies in Mathematical Sciences Pub Date : 2014-02-26 DOI: 10.3968/3976
Wenlong Du, B. Shen, Yongqing Zhang
{"title":"Research on the Distribution of MersennePrimes Based on Zhou’s Conjecture","authors":"Wenlong Du, B. Shen, Yongqing Zhang","doi":"10.3968/3976","DOIUrl":"https://doi.org/10.3968/3976","url":null,"abstract":"This paper presents an approximate expression of the number of Mersenne primes on the basis of Zhou’s conjecture, predicts the position of each Mersenne prime, and compares the number of Mersennes primes derived from this expression to the number of Mersennes primes derived from actual values and the four existing approximate expressions.","PeriodicalId":319071,"journal":{"name":"Studies in Mathematical Sciences","volume":"2011 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126051493","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
Proving the Twin Prime Conjecture 证明孪生素数猜想
Studies in Mathematical Sciences Pub Date : 2014-02-26 DOI: 10.3968/4014
Dan Liu, Jingfu Liu
{"title":"Proving the Twin Prime Conjecture","authors":"Dan Liu, Jingfu Liu","doi":"10.3968/4014","DOIUrl":"https://doi.org/10.3968/4014","url":null,"abstract":"Presented and proved symmetry primes theorem, parallelism proving the twin primes conjecture, Goldbach conjecture. Give part of the calculation.","PeriodicalId":319071,"journal":{"name":"Studies in Mathematical Sciences","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116220449","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
Implementing a Group- and Project/Problem-Based Learning in a College Algebra Course 在大学代数课程中实施基于小组和项目/问题的学习
Studies in Mathematical Sciences Pub Date : 2014-02-26 DOI: 10.3968/4251
Abdramane Sermé
{"title":"Implementing a Group- and Project/Problem-Based Learning in a College Algebra Course","authors":"Abdramane Sermé","doi":"10.3968/4251","DOIUrl":"https://doi.org/10.3968/4251","url":null,"abstract":"The idea of this paper originated from reading the interesting article written by Mohammad A. Alseweed in Studies in Literature and Language (2013). In the article, the author defined and analyzed traditional learning, blended/hybrid learning and virtual learning. The result favored blended/hybrid learning in test scores and students’ attitudes suggests that students are more receptive when instructors use different teaching approaches. In this paper we describe an innovative approach to project-based learning in a group setting environment. Traditional science instruction has tended to exclude students who need to learn from contexts that are real-world, graspable, and self-evidence meaningful (Kolodner et al., 2003). As emphasized by Blumenfeld, one way of encouraging student engagement and addressing the contextualization of students’ inquiry is through project-based instruction (Bumenfeld et al., 1991; Petrosino, 2004). The learning sciences community agrees that deep and effective learning is best promoted by situating learning in purposeful and engaging activity (Bransford et al., 1999; Collins et al., 1989; Kolodner et al., 2003). Our goal for developing this collaborative project/problem-based learning technique is to engage the students in deep learning by encouraging them to write and explain all the steps of their reasoning when yielding to the answers.","PeriodicalId":319071,"journal":{"name":"Studies in Mathematical Sciences","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132464487","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
Countably Semiadditive Functionals and the Hardy-Littlewood Maximal Operator 可数半加性泛函与Hardy-Littlewood极大算子
Studies in Mathematical Sciences Pub Date : 2013-11-30 DOI: 10.3968/J.SMS.1923845220130702.1760
E. I. Berezhnoj, E. Smirnov
{"title":"Countably Semiadditive Functionals and the Hardy-Littlewood Maximal Operator","authors":"E. I. Berezhnoj, E. Smirnov","doi":"10.3968/J.SMS.1923845220130702.1760","DOIUrl":"https://doi.org/10.3968/J.SMS.1923845220130702.1760","url":null,"abstract":"Abstract: We describe the continuity of nonlinear Hardy–Littlewood maximal operator in nonmetricable function space ,  is a measurable subset of Rn with finite measure.","PeriodicalId":319071,"journal":{"name":"Studies in Mathematical Sciences","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133748882","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
Statistical Appraisal of Maximum Age Requirement for Commercial Airplanes in Nigeria 尼日利亚商用飞机最大机龄要求的统计评估
Studies in Mathematical Sciences Pub Date : 2013-11-30 DOI: 10.3968/J.SMS.1923845220130702.9205
I. Oyeka, G. Ebuh
{"title":"Statistical Appraisal of Maximum Age Requirement for Commercial Airplanes in Nigeria","authors":"I. Oyeka, G. Ebuh","doi":"10.3968/J.SMS.1923845220130702.9205","DOIUrl":"https://doi.org/10.3968/J.SMS.1923845220130702.9205","url":null,"abstract":"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.","PeriodicalId":319071,"journal":{"name":"Studies in Mathematical Sciences","volume":"637 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131877533","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
Proof of the Jie Bove Conjecture 介博夫猜想的证明
Studies in Mathematical Sciences Pub Date : 2013-11-30 DOI: 10.3968/J.SMS.1923845220130702.2936
Dan Liu
{"title":"Proof of the Jie Bove Conjecture","authors":"Dan Liu","doi":"10.3968/J.SMS.1923845220130702.2936","DOIUrl":"https://doi.org/10.3968/J.SMS.1923845220130702.2936","url":null,"abstract":"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.","PeriodicalId":319071,"journal":{"name":"Studies in Mathematical Sciences","volume":"71 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122621218","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
The Dual Space χ2 of Double Sequences 双序列的对偶空间χ2
Studies in Mathematical Sciences Pub Date : 2013-11-30 DOI: 10.3968/3904
N. Subramanian, U. Misra
{"title":"The Dual Space χ2 of Double Sequences","authors":"N. Subramanian, U. Misra","doi":"10.3968/3904","DOIUrl":"https://doi.org/10.3968/3904","url":null,"abstract":"We determine the (v) dual of the space and establish that the and duals of the space 2 not coincide with the (v) dual;","PeriodicalId":319071,"journal":{"name":"Studies in Mathematical Sciences","volume":"95 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124927927","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
Path-Independence of Work Done Theorem Is Invalid in Center-Bound Force Fields 做功的路径无关定理在中心约束力场中无效
Studies in Mathematical Sciences Pub Date : 2013-11-30 DOI: 10.3968/J.SMS.1923845220130702.2469
J. Czajko
{"title":"Path-Independence of Work Done Theorem Is Invalid in Center-Bound Force Fields","authors":"J. Czajko","doi":"10.3968/J.SMS.1923845220130702.2469","DOIUrl":"https://doi.org/10.3968/J.SMS.1923845220130702.2469","url":null,"abstract":"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.","PeriodicalId":319071,"journal":{"name":"Studies in Mathematical Sciences","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124971676","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: 9
Stability of Nested Queue Model With Finite Waiting Capacity 有限等待容量嵌套队列模型的稳定性
Studies in Mathematical Sciences Pub Date : 2013-11-30 DOI: 10.3968/J.SMS.1923845220130702.2866
Anju Bhatt, Jaejin Jang
{"title":"Stability of Nested Queue Model With Finite Waiting Capacity","authors":"Anju Bhatt, Jaejin Jang","doi":"10.3968/J.SMS.1923845220130702.2866","DOIUrl":"https://doi.org/10.3968/J.SMS.1923845220130702.2866","url":null,"abstract":"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.","PeriodicalId":319071,"journal":{"name":"Studies in Mathematical Sciences","volume":"51 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124426603","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
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