Applied Mathematical Sciences Research Articles

YSTEM OF COMPILING TESTS FOR ESP STUDENTS’ READING COMPETENCE ASSESSMENT AND METHODS OF THEIR APPLICATION

The article depicts various types of reading used at ESP lessons as well as the aims and the necessity of using evaluation system for the reading skill. As teaching ESP, students are implied working with texts most of the time of the lesson. Therefore, the developing students’ reading competence becomes vital. This denotes the usage of adequate evaluation system for ESP students’ reading skills. Moreover, based on ESP materials and taking into account different reading techniques various evaluation students’ foreign language reading competence techniques are described as well. Hence, to help teachers in compiling and using appropriate reading tests, some criteria for defining the level of ESP students’ reading competence and test designing are described with the examples of reading test exercises. Methods, described in the article, provide the reader with the information when and how to use the assessment material: at the beginning, in the middle or at the end of the course depending on the aims the teacher is targeting at. In addition, the article covers practical test results used at ESP lesson for the students of “Psychology” and “Applied Mathematics and Computer Science” faculties. Everything touched in the article could be valuable for other ESP teachers and scholars to implement in their further work with their students.

Highlights of the Inaugural Data Science Leadership Summit

On March 26, 2018, the Data Science Institute at Columbia University <https://datascience.columbia.edu/> hosted the inaugural Data Science Leadership Summit. It drew together a cross-section of academic researchers and administrators to discuss how university practices could best adapt to the emerging field of data science. The summit was co-funded by the National Science Foundation, the Gordon and Betty Moore Foundation, and the Alfred P. Sloan Foundation. This interview with Jeannette Wing, the Avanessians Director of the Data Science Institute at Columbia University and the author of The Data Life Cycle <https://hdsr.mitpress.mit.edu/pub/577rq08d> , discusses the motivation of the summit and summarizes its key findings. The interview was conducted by another experienced leader in data science, David Banks, the Director of the Statistical and Applied Mathematical Sciences Institute (SAMSI). <https://www.samsi.info/people/staff/> Keywords: data science institute, education units, inter-disciplinary, multi-disciplinary, university administration

Total rainbow connection numbers of some special graphs

In 2008, Chartrand et al. first introduced the concept of rainbow connection. Since then the study of rainbow connection has received considerable attention in the literature, and now it becomes an active topic in graph theory. As a natural generalization, Uchizawa et al. (2013) and Liu et al. (2014) presented the concept of total rainbow connection, respectively. In this paper, we investigate the total rainbow connection numbers of outerplanar graphs with diameter 2. Applying our result, we improve the main result of [X. Huang, X. Li, Y. Shi, J. Yue, Y. Zhao, Rainbow connections for outerplanar graphs with diameter 2 and 3, Applied Mathematics and Computation, 242(2014), 277–280]. Next, we revise the main result of [Y. Liu, Z. Wang, Rainbow Connection Number of the Thorn Graph, Applied Mathematical Sciences, 8(2014), 6373–6377], and determine the total rainbow connection numbers of graphs G, where G are the thorn graph of complete graph Kn*, the thorn graph of the cycle Cn*. At last, we study the rainbow 2-connection numbers of some special graphs.

RESEARCH OF STUDENTS’ ATTITUDE TOWARDS STUDYING THEORY OF PROBABILITY AND MATHEMATICAL STATISTICS

This work is part of the study of problems in the preparation of bachelors of mathematical sciences. It is well-known that the attitude of students to study, as well as the emotions that arise in the process of learning, largely determine the level of their academic achievements. The article provides an analysis of the attitude of students to the study of probabilistic sections of mathematics. The survey of a group of students majoring in Applied Mathematics and Computer Science, as well as Computer Science and Mathematics, was conducted twice. The results of the survey were studied by applying non-parametric criteria (G-sign test and Wilcoxon T-test), correlation and cluster analysis. The study showed that students assessments reflecting the value and emotional attitude to the study of the theory of probability are stable and representative. In addition, the cluster analysis revealed among the surveyed students the presence of two groups of approximately equal in number. The first group is who are aware of the value of probability and have positive emotions when studying the course. The second group is those who have a lesser understanding of the value of the subject and experience difficulties in learning. Detection of the problem will allow developing a system of methods aimed at the formation of a value attitude and a deeper understanding of the essence of probabilistic ideas and methods.

Estimating the net premium using additional information about a quantile of the cumulative distribution function

Zhanna N. Zenkova - Associate Professor, Institute of Applied Mathematics and Computer Science, National Research Tomsk State University; SRO “Association of professional actuaries”Address: 36, Lenin Street, Tomsk, 63403047, Russian Federation E-mail: zhanna.zenkova@mail.tsu.ruElizaveta A. Krainova - Doctoral Student, Institute of Applied Mathematics and Computer Science, National Research Tomsk State University;Address: 36, Lenin Street, Tomsk, 63403047, Russian Federation E-mail: lanshakoval@gmail.com In this paper, the task of increasing the accuracy of net premium estimations in non-life insurance is considered. Improvements are achieved by involving additional information about a known q-quantile of loss cumulative distribution function. The additional information is used by projection the empirical cumulative distribution function onto the class of cumulative distribution functions with a certain q-quantile, and then the modified empirical cumulative distribution function is substituted into the integral that yields the mean value. This allows us to obtain a modified estimation of mean value using additional information about the q-quantile which is unbiased and its variance is asymptotically less than the variance of the classical sample mean, so that the mean-square error of the modification is also smaller. Therefore, the modified estimation is more accurate than the classical one for a large sample size. The influence of a quantile value on the variance of the new estimation is studied for uniform, triangular and normal distributions. It is suggested that the minimum of the variance is reached when a known quantile is equal to the median (symmetry center) for symmetrical distribution. Based on Simpson triangular distribution, it was shown that for cases of skewed distributions involving the quantile allows one to decrease the variance more significantly than for symmetrical ones. The modified estimation of mean value is applied to a real data set for calculation of a net premium. The data contain information about payments for voluntary health insurance of some insurance company. It is demonstrated that the classical method underestimates the net premium, and so it could lead to the company’s bankruptcy. After applying the new modified technique, the net premium becomes higher and the bankruptcy risk is reduced as well. This paper contains practically significant results which make it possible to give important recommendations to an insurance company.

International Master’s degree program “High-Performance and distributed information processing systems”

This paper presents information on the content and resources of the internationally certified Master’s program “High-Performance and Distributed Information Processing Systems” in the field of Applied Mathematics and Computer Science. The paper studies scientific achievements of the academic staff, peculiarities of courses currently held, characteristics of available facilities and resources, prospects for the Master’s worldwide research activities at a high scientific level, and opportunities to pursue postgraduate studies and to defend a PhD thesis.

A Study on New Methods of Ratio Exponential Type Imputation in Sample Surveys

In this article, we have suggested new methods of ratio exponential type imputation and proposed their corresponding point estimators to deal with the problems of non-response in sample surveys for the prior outlay of an auxiliary variable $x$. The expression of the biases and their mean square errors of the proposed estimators have been derived, upto the fi rst order of large sample approximation under SRSWOR scheme and compared with the mean method of imputation, ratio method of impu tation, regression method of imputation and the estimators of Singh and Horn (Metrika [16]), Singh and Deo (Statistical Papers [15]), Touten burg et al. (Statistical Papers [18]), Singh (Statistics [17]) and Gira (Applied Mathematical Sciences [5]). After comparison, the condition which makes the proposed forty four estimators more efficient than others are found. To verify the theoretical results, simulation studies are performed on five real data sets.

Machine Learning Meliorates Computing and Robustness in Discrete Combinatorial Optimization Problems

Discrete combinatorial optimization problems in real world are typically defined via an ensemble of potentially high dimensional measurements pertaining to all subjects of a system under study. We point out that such a data ensemble in fact embeds with system's information content that is not directly used in defining the combinatorial optimization problems. Can machine learning algorithms extract such information content and make combinatorial optimizing tasks more efficient? Would such algorithmic computations bring new perspectives into this classic topic of Applied Mathematics and Theoretical Computer Science? We show that answers to both questions are positive. One key reason is due to permutation invariance. That is, the data ensemble of subjects' measurement vectors is permutation invariant when it is represented through a subject-vs-measurement matrix. An unsupervised machine learning algorithm, called Data Mechanics (DM), is applied to find optimal permutations on row and column axes such that the permuted matrix reveals coupled deterministic and stochastic structures as the system's information content. The deterministic structures are shown to facilitate geometry-based divide-and-conquer scheme that helps optimizing task, while stochastic structures are used to generate an ensemble of mimicries retaining the deterministic structures, and then reveal the robustness pertaining to the original version of optimal solution. Two simulated systems, Assignment problem and Traveling Salesman problem, are considered. Beyond demonstrating computational advantages and intrinsic robustness in the two systems, we propose brand new robust optimal solutions. We believe such robust versions of optimal solutions are potentially more realistic and practical in real world settings.

THE CASE STUDY TASKS AS A BASIS FOR THE FUND OF THE ASSESSMENT TOOLS AT THE MATHEMATICAL ANALYSIS FOR THE DIRECTION 01.03.02 APPLIED MATHEMATICS AND COMPUTER SCIENCE

The modern reform of the Russian higher education involves the implementation of competence-based approach, the main idea of which is the practical orientation of education. Mathematics is a universal language of description, modeling and studies of phenomena and processes of different nature. Therefore creating the fund of assessment tools for mathematical disciplines based on the applied problems is actual. The case method is the most appropriate mean of monitoring the learning outcomes, it is aimed at bridging the gap between theory and practice. The aim of the research is the development of methodical materials for the creating the fund of assessment tools that are based on the case-study for the mathematical analisis for direction «Applied Mathematics and Computer Science». The aim follows from the contradiction between the need for the introduction of case-method in the educational process in high school and the lack of study of the theoretical foundations of using of this method as applied to mathematical disciplines, insufficient theoretical basis and the description of the process of creating case-problems for use their in the monitoring of the learning outcomes.

Transforming the Undergraduate Research Experience Through Sustained Mentoring: Creating a Strong Support Network and a Collaborative Learning Environment

This chapter describes how sustained mentoring together with rigorous collaborative learning and community building contributed to successful mathematical research and individual growth in the Applied Mathematical Sciences Summer Institute (AMSSI), a program that focused on women, underrepresented minorities, and individuals from small teaching institutions who might not have had the opportunity to do research otherwise. The collective learning and developmental experiences of AMSSI's cofounders as students, teaching assistants, and faculty in other research programs, together with their humble upbringings and cultural histories, are what define the unique structure and mentoring blueprint of AMSSI.

Mentoring as Transformative Practice: Supporting Student and Faculty Diversity

Mentoring as Transformative Practice: Supporting Student and Faculty Diversity

Forecasting Methods Classification and its Applicability

The article deals with the modern problems of forecasting methods classification. This work defines the basic concepts of the subject domain, forecasts’ classifications, forecasting objects and methods, and describes the main forecasting methods. This work also performs a comparative analysis and identifies the groups of forecasting methods, corresponding to the various types of forecasts and objects. It can be used as a study guide of mathematical forecasting and system analysis in the higher school for such directions of training as “Mathematics”, “Applied Mathematics and Computer Science,” “Business Informatics”.

New Approaches for Decision Making in Information Systems via Decision Diagrams

DOI: 10.9734/BJMCS/2015/17456 Editor(s): (1) Vyacheslav Pivovarchik, Dept. of Applied Mathematics and Computer Science, South-Ukrainian National Pedagogical University, Ukraine. (2) Tian-Xiao He, Department of Mathematics and Computer Science, Illinois Wesleyan University, USA. Reviewers: (1) Anonymous, Jordan. (2) Harish Garg, Thapar University, Patiala, India. (3) Anonymous, Poland. Complete Peer review History: http://www.sciencedomain.org/review-history.php?iid=1035&id=6&aid=9099

Geometrical Methods and Numerical Computations for Prey-Predator Systems

DOI: 10.9734/BJMCS/2015/19270 Editor(s): (1) Vyacheslav Pivovarchik, Department of Applied Mathematics and Computer Science, South-Ukrainian National Pedagogical University, Ukraine. Reviewers: (1) Asha Ram Gairola, Department of Mathematics, University of Petroleum & Energy Studies, Dehradun, India. (2) Anonymous, HITEC University Taxila, Pakistan. Complete Peer review History: http://sciencedomain.org/review-history/10327

Remarks on the paper: "On pseudo BCH-algebras"

In [Y.B. Jun, S.S. Ahn, On pseudo BCH-algebras, Applied Mathematical Sciences, 39 (2015), 1931-1939], the authors introduced pseudo BCH-algebras and defined in such algebras a binary relation , but it is not well defined. Mathematics Subject Classification: 06F35, 03G25

Comet assay on mice testicular cells

Event Abstract Back to Event Comet assay on mice testicular cells Anoop K. Sharma1* 1 Technical University of Denmark, Division of Toxicology & Risk Assessment, Denmark Heritable mutations may result in a variety of adverse outcomes including genetic disease in the offspring. In recent years the focus on germ cell mutagenicity has increased and the “Globally Harmonized System of Classification and Labelling of Chemicals (GHS)” has published classification criteria for germ cell mutagens (Speit et al., 2009). The in vivo Comet assay is considered a useful tool for investigating germ cell genotoxicity. In the present study DNA strand breaks in testicular cells of mice were investigated. Different classes of chemicals were tested in order to evaluate the sensitivity of the comet assay in testicular cells. The chemicals included environmentally relevant substances such as Bisphenol A, PFOS and Tetrabrombisphenol A. Statistical power calculations will be presented to aid in the design of future Comet assay studies on testicular cells. Power curves were provided with different fold changes in % tail DNA, different number of cells scored and different number of gels (Hansen et al., 2014). An example is shown in Figure 1. A high throughput version of the Comet assay was used. Samples were scored with a fully automatic comet assay scoring system that provided faster scoring of randomly selected cells. Figure 1 Acknowledgements Acknowledgements Merethe Kjær Hansen1, Murat Kulachia1 and 3, Marianne Dybdahl2, Julie Boberg2 and Vivian Jørgensen2. 1 Technical University of Denmark, Dept. of Applied Mathematics and Computer Science. 2 Technical University of Denmark, National Food Institute. 3 Luleå University of Technology, Dept.of Business Administration, Technology and Social Sciences. References Speit, G., Vasquez, M., Hartmann, A. The comet assay as an indicator test for germ cell genotoxicity. Mutation Research/Reviews in Mutation Research. 2009 (681) 3-12. Hansen, M.K., Sharma, A.K., Dybdahl, M., Boberg, J., Kulahci, M. In vivo Comet assay - statistical analysis and power calculations of mice testicular cells. Mutation Research/Genetic Toxicology and Environmental Mutagenesis. 2014. (774) 29-40. Keywords: in vivo, Testis, High-Throughput Screening Assays, DNA strand breaks, Power calculation, Statistical issues Conference: ICAW 2015 - 11th International Comet Assay Workshop, Antwerpen, Belgium, 1 Sep - 4 Sep, 2015. Presentation Type: Oral Presentation Topic: Statistical issues within comet assay studies Citation: Sharma AK (2015). Comet assay on mice testicular cells. Front. Genet. Conference Abstract: ICAW 2015 - 11th International Comet Assay Workshop. doi: 10.3389/conf.fgene.2015.01.00025 Copyright: The abstracts in this collection have not been subject to any Frontiers peer review or checks, and are not endorsed by Frontiers. They are made available through the Frontiers publishing platform as a service to conference organizers and presenters. The copyright in the individual abstracts is owned by the author of each abstract or his/her employer unless otherwise stated. Each abstract, as well as the collection of abstracts, are published under a Creative Commons CC-BY 4.0 (attribution) licence (https://creativecommons.org/licenses/by/4.0/) and may thus be reproduced, translated, adapted and be the subject of derivative works provided the authors and Frontiers are attributed. For Frontiers’ terms and conditions please see https://www.frontiersin.org/legal/terms-and-conditions. Received: 02 Jun 2015; Published Online: 23 Jun 2015. * Correspondence: PhD. Anoop K Sharma, Technical University of Denmark, Division of Toxicology & Risk Assessment, Søborg, 2860, Denmark, aksha@food.dtu.dk Login Required This action requires you to be registered with Frontiers and logged in. To register or login click here. Abstract Info Abstract The Authors in Frontiers Anoop K Sharma Google Anoop K Sharma Google Scholar Anoop K Sharma PubMed Anoop K Sharma Related Article in Frontiers Google Scholar PubMed Abstract Close Back to top Javascript is disabled. Please enable Javascript in your browser settings in order to see all the content on this page.

Steps towards Bridging the HPC and Computational Science Talent Gap Based on Ontology Engineering Methods

Abstract The paper describes an ontology-based methods and framework for design of learning courses covering the HPC and Big Data areas and how to include these into Computational Science training within the remit of existing courses of Master Programme entitled “Applied Mathematics and Computer Science” (Faculty of Mechanics and Mathematics, Perm State University, Russia). It helped bringing together the university and IT-companies around a real industry projects in the field of Big Data with active participation of master's students. In this paper, the visual tools and ontology-based methods for computer-supported collaborative learning environment will be also presented.

Opportunities at SAMSI and NISS

Statistical and Applied Mathematical Sciences Institute (SAMSI) Deputy Director Snehalata Huzurbazar, former SAMSI graduate fellow Jessi Cisewski, SAMSI postdoctoral fellow Bailey Fosdick, and form...

Comments on "Modeling dynamical interactions between Leptospirosis infected vector and human population" Applied Mathematical Sciences, 6 (2012), 1287-1302

Comments on "Modeling dynamical interactions between Leptospirosis infected vector and human population" Applied Mathematical Sciences, 6 (2012), 1287-1302

A note on application of the coth_a(\xi) expansion method to the Davey-Stewartson equation

recent paper The cotha( ) expansion method and its application to the Davey{Stewartson (Applied Mathematical Sciences 8 (2014) 3851{3868) is analyzed. We show that the authors solved equations with the well known general solutions. two rst solutions of paper correspond to the equation for the Weierstrass elliptic function and the two other solutions can be obtained from the general solution for the second-order linear ordinary dierential equation for free oscillations.