数学和系统科学:英文版最新文献

{"title":"On New Subclass of Multivalent Functions Involving a Generalized Al-Oboudi Differential Operator","authors":"B. Sambo, Oladejo Semiu Oladipupo, A. Sanda","doi":"10.17265/2159-5291/2019.02.004","DOIUrl":"https://doi.org/10.17265/2159-5291/2019.02.004","url":null,"abstract":"","PeriodicalId":61124,"journal":{"name":"数学和系统科学:英文版","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43230494","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":"Solving a delay differential equation by two direct approaches","authors":"N. O. Alatawi, Abdelhalim Ebaid","doi":"10.17265/2159-5291/2019.02.003","DOIUrl":"https://doi.org/10.17265/2159-5291/2019.02.003","url":null,"abstract":": The Ambartsumian equation is an application of the theory of surface brightness in the milky way. It is a linear differential equation involving a proportional delay term. In this paper, two different approaches have been used to obtain the power series solution of Ambartsumian equation. The obtained series solution by the suggested approaches agrees with the published solution in the literature. However, the current approaches are not only very simple but also straightforward.","PeriodicalId":61124,"journal":{"name":"数学和系统科学:英文版","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44205761","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":"History and General Characteristics of the Adaptive Control System of the Deuterium Pre-concentration Stage in Heavy Water Production","authors":"Karachenets Dmitryi","doi":"10.17265/2159-5291/2019.01.002","DOIUrl":"https://doi.org/10.17265/2159-5291/2019.01.002","url":null,"abstract":"The history of creation in 1971–1975 years at SDB MMS of the Institute of Cybernetics (Kyiv city) the control system for the deuterium pre-concentration stage in heavy water production at Dneprodzerzhinsk chemical plant (now Kamianske city, PJSC “DneprAzot”) is considered. It is given a technological block-diagram of the stage with its components and block-diagram of ACSTP which was developed in consequence of investigations of this complex managed object. A mathematical model of the distillation columns in the separating units of hydrogen isotopes which was used for synthesis of an algorithm of the adaptive stochastic optimal system with active accumulation of information about managed probabilistic processes is described. The results of the carried out tests of the system confirmed its efficiency.","PeriodicalId":61124,"journal":{"name":"数学和系统科学:英文版","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42454366","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":"Academician Glushkov and Grandmaster Fisher","authors":"Karachenets Dmitryi","doi":"10.17265/2159-5291/2019.01.003","DOIUrl":"https://doi.org/10.17265/2159-5291/2019.01.003","url":null,"abstract":": In the first part of the article, the incomprehensible victories of the American grandmaster Robert Fisher over the candidates Mark Taimanov, Bent Larsen and Tigran Petrosyan in 1971 for the right to play the match for the World Chess Champion title with the former champion Boris Spassky and the victory over the champion himself in 1972 are first served as a detective story hypothesis proposed by Academician Viktor Glushkov. According to this hypothesis, R. Fisher used the prompts of a super-productive computer installed in the United States, in which a highly efficient computer chess program was played along with the matches. Communication with the computer provided a team of employees of the CIA. In the second part, the author, having reviewed briefly the history of computer chess programs, rejects the hypothesis of the academician and proposes his own.","PeriodicalId":61124,"journal":{"name":"数学和系统科学:英文版","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48951324","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 Uniformly Convergent Numerical Method Using Weak Formulation for Singularly Perturbed Differential Equations","authors":"Weiqun Zhang","doi":"10.17265/2159-5291/2019.01.001","DOIUrl":"https://doi.org/10.17265/2159-5291/2019.01.001","url":null,"abstract":"A numerical method using weak formulation is proposed to solve singularly perturbed differential equations. The numerical method is applied to both linear and nonlinear perturbation problems. A linear differential equation is solved using its weak formulation with a test space composed of exponential functions matching boundary layers. A nonlinear singular perturbation problem is converted into a system of linear differentiation equations. Then each linear differential equation is solved iteratively. The uniform convergence, which is independent of the singular perturbation parameter, is numerically verified.","PeriodicalId":61124,"journal":{"name":"数学和系统科学:英文版","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41990767","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":"Principally-Injective Leavitt Path Algebras over Arbitrary Graphs","authors":"Soumitra Das, A. M. Buhphang","doi":"10.17265/2159-5291/2019.03.002","DOIUrl":"https://doi.org/10.17265/2159-5291/2019.03.002","url":null,"abstract":"A ring R is called right principally-injective if every R-homomorphism from a principal right ideal aR to R (a in R), extends to R, or equivalently if every system of equations xa=b (a, b in R) is solvable in R. In this paper we show that for any arbitrary graph E and for a field K, principally-injective conditions for the Leavitt path algebra LK(E) are equivalent to that the graph E being acyclic. We also show that the principally injective Leavitt path algebras are precisely the von Neumann regular Leavitt path algebras.","PeriodicalId":61124,"journal":{"name":"数学和系统科学:英文版","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41479814","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":"Igniting the statistical spark in the social sciences – abilites, student feedback and teacher observations","authors":"Rhys C. Jones","doi":"10.17265/2159-5291/2018.06.001","DOIUrl":"https://doi.org/10.17265/2159-5291/2018.06.001","url":null,"abstract":"Several investigations have concluded that there is a quantitative deficit within the social sciences in the UK (Fonow and Cook, 1991; Lincoln and Denzin, 2003; Payne et al., 2004; Williams, et al., 2008; MacInnes, 2009; Platt, 2012; Payne, 2014; Williams et al., 2015). Reasons for this are potentially rooted within the societal negative attitudes towards mathematics. \u0000 \u0000Societal negative attitudes towards mathematics could be a product of the traditional teaching approaches of mathematics education. In particular, teaching methods have potentially contributed to the subject identity as being right or wrong, perceived as a difficult discipline (Porkess, 2013; Donaldson, 2015). Significant changes have been made to mathematics education (years 7-13) more recently to encourage greater student uptake post-16, within England and Wales (Porkess, 2013; Donaldson, 2015). Statistics has gained an increasingly important voice within mathematics education. Statistics also cuts across many disciplines, becoming a core subject. In addition, employers are increasingly requesting employees acquire data analysis skills, underpinned by statistical and scientific principles. \u0000 \u0000In relation to the quantitative deficit, the Q-Step initiative was created across 15 British universities to develop a range of undergraduate social science degree courses to improve quantitative methods skills. The Q-Step centre within Cardiff University invested in the development of a range of school and further education activities, to highlight the importance of these quantitative skills. The development of a QCF level 3 course in Social Analytics (investigation of social processes using statistical analysis and techniques) involved the creation of the Pilot Scheme in Social Analytics (SA). This course was developed with a group of secondary school teachers and FE lecturers, delivered over a series of 21 weeks to a mixture of year 12 and 13 students in Cardiff in 2014/15 (44 students) and 2015/16 (29 students). \u0000 \u0000To investigate the effectiveness of the Pilot Scheme in SA, a series of research questions were developed. A quasi-experimental design was used to operationalise these research questions to measure the impacts on student attitudes and attainment in statistics (in year 12 and 13) on an experimental group who received a contextualised statistics course in 2015/16 (Pilot Scheme in SA), compared to two control groups. \u0000 \u0000Results suggest the course did lead to changes in the students’ attitudes, becoming more positive. In addition, their statistical abilities also seem to have improved, in comparison to the two control groups. Although the positive impacts of the course are somewhat tentative, and in places it is difficult to make unequivocal inferences, there is no evidence to suggest the course had a negative impact on the experimental group. In comparison, students in both control groups who didn’t receive the treatment, showed negative differences in their attitudes and abili","PeriodicalId":61124,"journal":{"name":"数学和系统科学:英文版","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67535029","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}