Pub Date : 2019-02-28DOI: 10.17265/2159-5291/2019.02.004
B. Sambo, Oladejo Semiu Oladipupo, A. Sanda
{"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}
Pub Date : 2019-02-28DOI: 10.17265/2159-5291/2019.02.003
N. O. Alatawi, Abdelhalim Ebaid
: 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.
{"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}
Pub Date : 2019-01-28DOI: 10.17265/2159-5291/2019.01.002
Karachenets Dmitryi
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.
{"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}
Pub Date : 2019-01-28DOI: 10.17265/2159-5291/2019.01.003
Karachenets Dmitryi
: 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.
{"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}
Pub Date : 2019-01-28DOI: 10.17265/2159-5291/2019.01.001
Weiqun Zhang
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.
{"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}
Pub Date : 2018-07-17DOI: 10.17265/2159-5291/2019.03.002
Soumitra Das, A. M. Buhphang
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.
如果从主右理想aR到R (A in R)的所有R同态扩展到R，或者等价地，如果每个方程组xa=b (A, b in R)在R中可解，则称环R为右主内射。本文证明了对于任意图E和域K, Leavitt路径代数LK(E)的主内射条件等价于图E为无环。我们还证明了主内射莱维特路径代数正是冯诺依曼正则莱维特路径代数。
{"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}
Pub Date : 2018-06-28DOI: 10.17265/2159-5291/2018.06.001
Rhys C. Jones
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. Societal 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. In 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). To 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. Results 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
几项调查得出结论，英国社会科学内部存在定量赤字(Fonow and Cook, 1991;Lincoln and Denzin, 2003;Payne等人，2004;Williams等人，2008;MacInnes, 2009;普拉特,2012;佩恩,2014;Williams et al.， 2015)。造成这种情况的原因可能植根于社会对数学的消极态度。社会对数学的消极态度可能是传统数学教育教学方法的产物。特别是，教学方法可能会对学科的对与错产生影响，被认为是一门困难的学科(Porkess, 2013;唐纳森,2015)。最近，英格兰和威尔士的数学教育(7-13年级)发生了重大变化，以鼓励更多的16岁以后的学生接受数学教育(Porkess, 2013;唐纳森,2015)。统计学在数学教育中占有越来越重要的地位。统计学也涉及许多学科，成为一门核心学科。此外，雇主越来越多地要求员工掌握以统计和科学原理为基础的数据分析技能。针对定量不足，英国15所大学发起了Q-Step计划，旨在开发一系列社会科学本科学位课程，以提高定量方法技能。卡迪夫大学的Q-Step中心投资开发了一系列学校和继续教育活动，以突出这些定量技能的重要性。QCF第三级社会分析课程(使用统计分析和技术调查社会过程)的开发涉及社会分析(SA)试点计划的创建。该课程是由一组中学教师和FE讲师开发的，在2014/15年度(44名学生)和2015/16年度(29名学生)向卡迪夫12年级和13年级的学生提供了一系列21周的课程。为了调查南澳试点计划的有效性，我们提出了一系列研究问题。使用准实验设计来操作这些研究问题，以衡量实验组在2015/16学年(南澳试点计划)接受情境化统计学课程的学生对统计(12年级和13年级)的态度和成绩的影响，与两个对照组相比。结果表明，该课程确实改变了学生的态度，变得更加积极。此外，与两个对照组相比，他们的统计能力似乎也有所提高。虽然该课程的积极影响有些试测性，而且在某些地方很难做出明确的推断，但没有证据表明该课程对实验组有负面影响。相比之下，没有接受治疗的两组学生在数学和统计方面的态度和能力上表现出负向差异。根据调查结果和讨论，提出了参考专业实践和未来研究的建议。这些措施包括将南澳大利亚州的试点计划扩大到威尔士的更多学校，并为提供这些课程提供教师培训支持。
{"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}
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