Search results for: structured parity equations

Authors: Ayse Collins

Abstract:

The Agenda 2030 puts Higher Education Institutions (HEIs) in the situation where they should emphasize ways to promote sustainability accordingly. However, it is still unclear: a) how sustainability is understood, and b) which actions have been taken in both discourse and practice by HEIs regarding the three pillars of sustainability, society, environment, and economy. There are models of sustainable universities developed by different authors from different countries; For Example, The Global Reporting Initiative (GRI) methodology which offers a variety of indicators to diagnose performance. However, these models have never been developed for universities in particular. Any model, in this sense, cannot be completed adequately without defining the appropriate tools to measure, analyze and control the performance of initiatives. There is a need to conduct researches in different universities from different countries to understand where we stand in terms of sustainable higher education. Therefore, this study aims at exploring the actions taken by a university in Ankara, Turkey, since Agenda 2030 should consider localizing its objectives and targets according to a certain geography. This university just announced 2021-2022 as “Sustainability Year.” Therefore, this research is a multi-methodology longitudinal study and uses the theoretical framework of the organization and transition management (TM). It is designed to examine the activities as being strategic, tactical, operational, and reflexive in nature and covers the six main aspects: academic community, administrative staff, operations and services, teaching, research, and extension. The preliminary research will answer the role of the top university governance, perception of the stakeholders (students, instructors, administrative and support staff) regarding sustainability, and the level of achievement at the mid-evaluation and final, end of year evaluation. TM Theory is a multi-scale, multi-actor, process-oriented approach with the analytical framework to explore and promote change in social systems. Therefore, the stages and respective methodology for collecting data in this research is: Pre-development Stage: a) semi-structured interviews with university governance, c) open-ended survey with faculty, students, and administrative staff d) Semi-structured interviews with support staff, and e) analysis of current secondary data for sustainability. Take-off Stage: a) semi-structured interviews with university governance, faculty, students, administrative and support staff, b) analysis of secondary data. Breakthrough stabilization a) survey with all stakeholders at the university, b) secondary data analysis by using selected indicators for the first sustainability report for universities The findings from the predevelopment stage highlight how stakeholders, coming from different faculties, different disciplines with different identities and characteristics, face the sustainability challenge differently. Though similar sustainable development goals ((social, environmental, and economic) are set in the institution, there are differences across disciplines and among different stakeholders, which need to be considered to reach the optimum goal. It is believed that the results will help changes in HEIs organizational culture to embed sustainability values in their strategic planning, academic and managerial work by putting enough time and resources to be successful in coping with sustainability.

Keywords: higher education, sustainability, sustainability auditing, transition management

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Authors: Joseph Falzon, Margaret Nelson

Abstract:

Background: Policy makers at European Union (EU) and national levels address the re-use of historic buildings calling for sustainable practices and approaches. Implementation stages of policy are crucial so that EU and national strategic objectives for historic building sustainability are achieved. Governance remains one of the key objectives to ensure resource sustainability. Objective: The aim of the research was to critically examine policies for the regeneration and adaptive re-use of historic buildings in the EU and national level, and to analyse gaps between EU and national legislation and policies, taking Malta as a case study. The impact of policies on regeneration and re-use of historic buildings was also studied. Research Design: Six semi-structured interviews with stakeholders including architects, investors and community representatives informed the research. All interviews were audio recorded and transcribed in the English language. Thematic analysis utilising Atlas.ti was conducted for the semi-structured interviews. All phases of the study were governed by research ethics. Findings: Findings were grouped in main themes: resources, experiences and governance. Other key issues included identification of gaps in policies, key lessons and quality of regeneration. Abandonment of heritage buildings was discussed, for which main reasons had been attributed to governance related issues both from the policy making perspective as well as the attitudes of certain officials representing the authorities. The role of authorities, co-ordination between government entities, fairness in decision making, enforcement and management brought high criticism from stakeholders along with time factors due to the lengthy procedures taken by authorities. Policies presented an array from different perspectives of same stakeholder groups. Rather than policy, it is the interpretation of policy that presented certain gaps. Interpretations depend highly on the stakeholders putting forward certain arguments. All stakeholders acknowledged the value of heritage in regeneration. Conclusion: Active stakeholder involvement is essential in policy framework development. Research informed policies and streamlining of policies are necessary. National authorities need to shift from a segmented approach to a holistic approach.

Keywords: adaptive re-use, historic buildings, policy, sustainable

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Authors: Kwok W. Cheung

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A scientific interpretation of creation reconciling the beliefs of six literal days of creation and a 13.7-billion-year-old universe currently perceived by most modern cosmologists is proposed. We hypothesize that the reference timeframe of God’s creation is associated with some cosmic time different from the earth's time. We show that the scale factor of earth time to cosmic time can be determined by the solution of the Friedmann equations. Based on this scale factor and some basic assumptions, we derive a Cosmic Time Dilation model that harmonizes the literal meaning of creation days and scientific discoveries with remarkable accuracy.

Keywords: cosmological expansion, time dilation, creation, genesis, relativity, Big Bang, biblical hermeneutics

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Authors: Ayhan Cinici, Mustafa Ozden, Umit Duruk, Gulden Akdag

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The purpose of this study was to investigate how feedbacks left from two different sources (mentors and peers) during microteaching sessions effecting preservice teachers’ teaching skills and views on science teaching. Sampling process is twofold in the study. As part of qualitative research, among other counterparts, case study method was chosen and respectively, constructed six working groups in which there were six preservice teachers, totally from thirty six preservice teachers enrolled in the third grade of Elementary Education Department by random assignment. Subsequently, one preservice teacher from all groups was appointed as the moderator of those groups (totally six moderators). Rest of them taking part remained as audience in all groups. At the beginning of the instructional process, all participants were asked to watch some videos by which someone already recorded. After watching these videos, they were also given a chance to discuss their ideas and impressions regarding microteaching in the classroom atmosphere. Both academic staff as mentors and participants as preservice teachers took role in the process of determining which teaching skills would be taken into consideration as part of microteaching sessions. Each group were gathered at regular intervals throughout twelve weeks together with their mentor who guided them and performed their microteaching. Data was collected using reflective diaries by which researchers constructed for both preservice teachers playing role as teacher of the group and preservice teachers playing role as audience during these microteaching sessions. Semi structured interviews were also carried out with only preservice teachers playing role as teachers of the groups. Findings from these reflective diaries and semi structured interviews were analysed by descriptive statistics and content analysis method. With regard to these findings, explanatory themes and subthemes were categorized and supported by direct citations. The results reveal that preservice teachers playing role as the teachers of the each group consider “content knowledge” as the most important aspect among other teaching skills. Furthermore, preservice teachers also point out that the more they get feedback on any teaching skill, the more they get motivated to develop it.

Keywords: teacher education, microteaching, mentor, peer feedback

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Authors: Soheil Arash Moghadam, Abdol R. Kashani Nia, Ali Akrami Zade

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Considering numerous applications of Autonomous Underwater Vehicles in various industries, there has been plenty of researches and studies on the motion control of such vehicles. One of the useful aspects for studying is the guidance of these vehicles. In this paper, while presenting motion equations with six degrees of freedom for Autonomous Underwater Vehicles, Proportional Navigation Guidance Law and the first order sliding mode control for TAIPAN AUV was used to address its guidance for the purpose of collision with a moving target.

Keywords: Autonomous Underwater Vehicle (AUV), degree of freedom (DOF), hydrodynamic, line of sight(LOS), proportional navigation guidance(PNG), sliding mode control(SMC)

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Authors: J. E. Cobbinah

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One of the most challenging issues confronting schools is good leadership succession planning. Experts argue that, although the idea of leadership succession planning is one of the strategies or practices that can help sustain improvement and promote continuity of good leadership, seem to have been neglected in many schools over the years. Appointment of head teachers in senior high schools is based on long service or one’s ability to demonstrate his/her competence in a leadership selection interview. There is no clear and well-structured leadership succession plan, before leadership position is filled, while school leadership succession planning seem to be an issue that nobody talks about. In faith-based schools the issue is even worse, because religious groups impose whoever they consider strong in the faith on schools as leaders, irrespective of the individual competence, ability to take up challenges associated with individuals’ preparedness to take up leadership position. Therefore, the present study examined the nature (including type) of leadership succession plans in faith-based senior high schools and its associated challenges. Convergent mixed method design was employed to effectively achieve the objectives of the study. The data collection strategies involved the use of interviews, questionnaires, and reviews of secondary data. The data was gathered from students, school leaders (head teachers, deputy heads, and head of departments), selected parents teachers associated members, school management committee members and members from school governors. The results show that governors of faith-based schools are making efforts to enhance education quality, by making school leadership accountable, the absence and the neglect of clear, and well-structured leadership succession plan has some negative outcomes. Unsustainable students’ academic performance, lack of support from existing staffs and senior leaders and lack of support in the implementation of school improvement plan. It would be concluded that, faith-based schools should focus on leadership competence and abilities in the selection process of potential school leaders to achieve a good succession plan rather than appointing leaders who are affiliates of one’s faith.

Keywords: school leadership, succession planning, faith-based schools, school governors

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Authors: Remzi Yildirim, Fatih. V. Çelebi, H. Haldun Göktaş, A. Behzat Şahin

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This study is about a single component cylindrical structured lens with gradient curve which we used for bending laser beams. It operates under atmospheric conditions and bends the laser beam independent of temperature, pressure, polarity, polarization, magnetic field, electric field, radioactivity, and gravity. A single piece cylindrical lens that can bend laser beams is invented. Lenses are made of transparent, tinted or colored glasses and used for undermining or absorbing the energy of the laser beams.

Keywords: laser, bending, lens, light, nonlinear optics

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Authors: Kerry Lee

Abstract:

Many teachers are experienced; however, experience doesn’t necessarily equate to excellence. Excellence in teaching is the single most powerful influence on student achievement. This case study investigates the practices of one of the nation’s most acknowledged teachers in enterprise education. In a number of semi-structured interviews and observational visits, this remote regional teacher talked freely about what skills and strategies she used to achieve this success. It is anticipated these findings will help others to support students to gain greater success (in whatever form that may take).

Keywords: expert teacher, enterprise education, excellence, skills and strategies

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Authors: Remzi Yildirim, Fatih V. Çelebi, H. Haldun Göktaş, A. Behzat Şahin

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This study is about a single component cylindrical structured lens with gradient curve which we used for bending laser beams. It operates under atmospheric conditions and bends the laser beam independent of temperature, pressure, polarity, polarization, magnetic field, electric field, radioactivity, and gravity. A single piece cylindrical lens that can bend laser beams is invented. Lenses are made of transparent, tinted or colored glasses and used for undermining or absorbing the energy of the laser beams.

Keywords: laser, bending, lens, light, nonlinear optics

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Authors: Mohammedi Ferhate

Abstract:

This paper deals with the generalized the notion of the function of wave a micro particle moving free, the concept of the linear operator in the representation function delta of Dirac which is a generalization of the symbol of Kronecker to the case of a continuous variation of the sizes concerned with the condition of orthonormation of the Eigen functions the use of linear operators and their Eigen functions in connection with the solution of given differential equations, it is of interest to study the properties of the operators themselves and determine which of them follow purely from the nature of the operators, without reference to specific forms of Eigen functions. The models simulation examples are also presented.

Keywords: function, operator, simulation, wave

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Authors: Osman Ali, Jeanne Kriek

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Introduction: The current instructional approach entrenched in memorizing does not assist conceptual understanding in science. Instructional approaches that encourage research, investigation, and experimentation, which depict how scientists work, should be encouraged. One such teaching strategy is problem-based learning (PBL). PBL has many advantages; enhanced self-directed learning and improved problem-solving and critical thinking skills. However, despite many advantages, PBL has challenges. Research confirmed is time-consuming and difficult to formulate ill-structured questions. Professional development interventions are needed for in-service educators to adopt the PBL strategy. The purposively selected educators had to implement PBL in their classrooms after the intervention to develop their practice and then reflect on the implementation. They had to indicate their achievements and challenges. This study differs from previous studies as the rural educators were subjected to implementing PBL in their classrooms and reflected on their experiences, beliefs, and attitudes regarding PBL. Theoretical Framework: The study reinforced Vygotskian sociocultural theory. According to Vygotsky, the development of a child's cognitive is sustained by the interaction between the child and more able peers in his immediate environment. The theory suggests that social interactions in small groups create an opportunity for learners to form concepts and skills on their own better than working individually. PBL emphasized learning in small groups. Research Methodology: An exploratory case study was employed. The reason is that the study was not necessarily for specific conclusive evidence. Non-probability purposive sampling was adopted to choose eight schools from 89 rural public schools. In each school, two educators were approached, teaching physical sciences in grades 10 and 11 (N = 16). The research instruments were questionnaires, interviews, and lesson observation protocol. Two open-ended questionnaires were developed before and after intervention and analyzed thematically. Three themes were identified. The semi-structured interviews and responses were coded and transcribed into three themes. Subsequently, the Reform Teaching Observation Protocol (RTOP) was adopted for lesson observation and was analyzed using five constructs. Results: Evidence from analyzing the questionnaires before and after the intervention shows that participants knew better what was required to develop an ill-structured problem during the implementation. Furthermore, indications from the interviews are that participants had positive views about the PBL strategy. They stated that they only act as facilitators, and learners’ problem-solving and critical thinking skills are enhanced. They suggested a change in curriculum to adopt the PBL strategy. However, most participants may not continue to apply the PBL strategy stating that it is time-consuming and difficult to complete the Annual Teaching Plan (ATP). They complained about materials and equipment and learners' readiness to work. Evidence from RTOP shows that after the intervention, participants learn to encourage exploration and use learners' questions and comments to determine the direction and focus of classroom discussions.

Keywords: problem-solving, self-directed, critical thinking, intervention

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Authors: Aneri Mehta, Krunal Mehta

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The unpredictable and vacillating relationship between India and Pakistan since days of Independence struggle is known world over. And this instability has never lost its magnitude to decrease the tensions between the two countries. Since India aspires to run for the race of future superpower and Pakistan struggles to remove the tag of a highly fickle and under developed economy; ruined largely not by the outsiders, but its own people and systems; it becomes really important to gauge what steps would these neighbors take in years to come. The progress and stability of both countries heavily relies on the favorable equations between the two nations. Therefore the paper tries to trace some roots of their faltering relationship and attempts to predict their future in a multidimensional perspective.

Keywords: economy, faltering relationship, multidimensional perspective, international relations

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Authors: S. B. Provost, Hossein Zareamoghaddam

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A univariate density approximation technique whereby the derivative of the logarithm of a density function is assumed to be expressible as a rational function is introduced. This approach which extends Pearson’s curve system is solely based on the moments of a distribution up to a determinable order. Upon solving a system of linear equations, the coefficients of the polynomial ratio can readily be identified. An explicit solution to the integral representation of the resulting density approximant is then obtained. It will be explained that when utilised in conjunction with sample moments, this methodology lends itself to the modelling of ‘big data’. Applications to sets of univariate and bivariate observations will be presented.

Keywords: density estimation, log-density, moments, Pearson's curve system

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Authors: M. Ndaw, G. Mendy, S. Ouya

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Risk management in banking sector is a key issue linked to financial system stability and its importance has been elevated by technological developments and emergence of new financial instruments. In this paper, we improve the model previously defined for quantifying internal control impact on banking risks by automatizing the residual criticality estimation step of FMECA. For this, we defined three equations and a maturity coefficient to obtain a mathematical model which is tested on all banking processes and type of risks. The new model allows an optimal assessment of residual criticality and improves the correlation rate that has become 98%.

Keywords: risk, control, banking, FMECA, criticality

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Authors: Shalaka Kadam, Dinesh Apte, Sagar Mainkar

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The life cycle of products is becoming shorter and shorter due to increased competition in market, shorter product development time and increased product diversity. Short life cycles are normal in retail industry, style business, entertainment media, and telecom and semiconductor industry. The subject of accurate forecasting for demand of short lifecycle products is of special enthusiasm for many researchers and organizations. Due to short life cycle of products the amount of historical data that is available for forecasting is very minimal or even absent when new or modified products are launched in market. The companies dealing with such products want to increase the accuracy in demand forecasting so that they can utilize the full potential of the market at the same time do not oversupply. This provides the challenge to develop a forecasting model that can forecast accurately while handling large variations in data and consider the complex relationships between various parameters of data. Many statistical models have been proposed in literature for forecasting time series data. Traditional time series forecasting models do not work well for short life cycles due to lack of historical data. Also artificial neural networks (ANN) models are very time consuming to perform forecasting. We have studied the existing models that are used for forecasting and their limitations. This work proposes an effective and powerful forecasting approach for short life cycle time series forecasting. We have proposed an approach which takes into consideration different scenarios related to data availability for short lifecycle products. We then suggest a methodology which combines statistical analysis with structured judgement. Also the defined approach can be applied across domains. We then describe the method of creating a profile from analogous products. This profile can then be used for forecasting products with historical data of analogous products. We have designed an application which combines data, analytics and domain knowledge using point-and-click technology. The forecasting results generated are compared using MAPE, MSE and RMSE error scores. Conclusion: Based on the results it is observed that no one approach is sufficient for short life-cycle forecasting and we need to combine two or more approaches for achieving the desired accuracy.

Keywords: forecast, short life cycle product, structured judgement, time series

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Authors: Liliana O. Martínez, Juan E. González, Manuel Ramírez-Aranda, Ana Cervantes-Herrera

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In this work, the use of a collection of mathematical challenges and puzzles aimed at students who are starting in algebra is proposed. The selected challenges and puzzles are intended to arouse students' interest in this area of mathematics, in addition to facilitating the teaching-learning process through challenges such as riddles, crossword puzzles, and board games, all in everyday situations that allow them to build themselves the learning. For this, it is proposed to carry out a "Math Rally: algebra" divided into four sections: mathematical reasoning, a hierarchy of operations, fractions, and algebraic equations.

Keywords: algebra, algebraic challenge, algebraic puzzle, math rally

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Authors: B. Schofield, F. Gul, S. McClean, R. Hoskins, R. Terry, U. Rolfe, A. Gibson, S. Voss, J. Benger

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Aim: The aim of this study is to determine whether and how health promotion activities are undertaken by paramedics and emergency department nurses and investigate ways of overcoming potential barriers. Background: Paramedics and emergency department nurses are uniquely placed to reach millions of people and could use these contacts as positive opportunities to help people improve their health by identifying people with risk factors and provide information, brief interventions, and signposting to locally provided services. These interventions can be carried out when the opportunity arises, typically take no more than a few minutes, have a low financial cost and can be a highly efficient method of health promotion. Methodology: Three NHS Emergency Departments and four Ambulance Trusts in England were recruited to the study. A link to an online survey was distributed to paramedics and emergency department nurses at participating sites. Staff were invited to participate in virtual semi-structured interviews. Patients seen, treated, and discharged at the participating sites were invited to virtual semistructured interviews. Findings: A total of 331 survey responses were received, 21 virtual semi-structured staff interviews and 11 patient interviews were completed. Staff reported lack of time to prioritise, lack of knowledge, resources, and confidence as barriers. Receptiveness of patients guided their decision to undertake health promotion activities. They reported a desire to learn how to undertake health promotion conversations. Emergency department nurses felt more supported than paramedics by their organisations to undertake health promotion activities. Patients were not aware of health promotion activities and reported fear and lack of privacy as barriers. Conclusions: These results will guide the development of an intervention to support the provision of health promotion by staff in urgent and emergency care settings. The components of the intervention will be mapped to a framework which will consider the needs of staff working within these settings, patients they treat, and organisational issues and practices related to the implementation of such an intervention.

Keywords: emergency service, hospital, nursing, allied health personnel, emergency medical services, health promotion

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Authors: Johnson Oladele Fatokun, I. P. Akpan

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In this paper, the one-dimensional time dependent Schrödinger equation is discretized by the method of lines using a second order finite difference approximation to replace the second order spatial derivative. The evolving system of stiff ordinary differential equation (ODE) in time is solved numerically by an L-stable trapezoidal-like integrator. Results show accuracy of relative maximum error of order 10-4 in the interval of consideration. The performance of the method as compared to an existing scheme is considered favorable.

Keywords: Schrodinger’s equation, partial differential equations, method of lines (MOL), stiff ODE, trapezoidal-like integrator

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Authors: M. Saeed, A. Shahidzadeh

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Interaction between teachers and learners requires applying a set of samples (examples) which helps to create coordination between the goals and methods. The main result and achievement and application of samples (examples) are that they can bring the teacher and learner to a shared understanding of the concept. mathematical concepts, and also one of the challenging issues in the discussion of the function is to find the collision points of functions of and, regarding that the example space of teachers is different in this issue, this paper aims to present an example space including several problems of the secondary school with the help of intuition and drawing various graphs of functions of and for more familiarity of teachers.

Keywords: inverse function, educational example, Mathematic example, example space

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Authors: Yasmeen Coaxum

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The year 2020 became synonymous with the words “Emergency Remote Teaching,” which was imposed upon educators during the COVID-19 pandemic. Consequently, teachers were compelled to find new and engaging ways to educate their students outside of the face-to-face classroom setting. Now online instruction has become more of the norm rather than a way to manage educational expectations during a crisis. Therefore, implementing a strategic way to create online environments for students to thrive, create, and fully engage in their learning process is essential. The Synchronous Online Flipped Learning Approach or SOFLA® is a distance learning model that most closely replicates actual classroom teaching. SOFLA® includes structured, interactive, multimodal activities in an eight-step learning cycle with both asynchronous and synchronous components that foster autonomous and interactive learning among today’s online learners. The results of a pilot study in an Intensive English Program at a university, using SOFLA® methodology to facilitate podcasting in an online learning environment will be shared. Previous findings on student-produced podcasting projects have shown that students felt they improved their pronunciation, vocabulary, and speaking skills. However, few if any studies have been conducted on using a structured online flipped learning approach to facilitate such projects. Therefore, the purpose of this study is to assess the effect of using the SOFLA® framework to enhance optimum engagement in the online environment while using podcasts as the primary tool of instruction. Through data from interviews, questionnaires, and the results of formative and summative assessments, this study also investigates the affective and academic impact this flipped learning method combined with podcasting has on the students in terms of speaking confidence and vocabulary retention, and production. The steps of SOFLA will be illustrated, a video demonstration of the Anchor podcasting app will be shown, and final student projects and questionnaire responses will be shared. The specific context is a 14-week advanced level conversation and listening class. Participants vary in age but are all adult language learners representing a diverse array of countries.

Keywords: mall online flipped learning, podcasting, productive vocabulary

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Authors: M. Ndaw, G. Mendy, S. Ouya

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Information system risk management helps to reduce or eliminate risk by implementing appropriate controls. In this paper, we propose a quantification model of controls impact on information system risks by automatizing the residual criticality estimation step of FMECA which is based on a inductive reasoning. For this, we defined three equations based on type and maturity of controls. For testing, the values obtained with the model were compared to estimated values given by interlocutors during different working sessions and the result is satisfactory. This model allows an optimal assessment of controls maturity and facilitates risk analysis of information system.

Keywords: information system, risk, control, FMECA method

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Authors: Derrouazin Mohammed Redhouane, Souakri Mohammed Lotfi, Henini Ghania

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This work consists, first of all, of mastering one of the powerful process simulation tools currently used in the industrial processes, which is the HYSYS sizing software, and second, of simulating a petroleum distillation column. This study is divided into two parts; where the first one consists of a dimensioning of the column with a fast approximating method using state equations, iterative calculations, and then a precise simulation method with the HYSYS software. The second part of this study is a hydrodynamic study in order to verify by obtained results the proper functioning of the plates.

Keywords: industry process engineering, water distillation, environment, HYSYS simulation tool

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Authors: R. S. Hassani, S. Chikh, L. Tadrist, S. Radev

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A bubbly flow in a vertical miniature tube is analyzed theoretically. The liquid and gas phase are co-current flowing upward. The gas phase is injected via a nozzle whose inner diameter is 0.11mm and it is placed on the axis of the tube. A force balance is applied on the bubble at its detachment. The set of governing equations are solved by use of Mathematica software. The bubble diameter and the bubble generation frequency are determined for various inlet phase velocities represented by the inlet mass quality. The results show different behavior of bubble growth and detachment depending on the tube size.

Keywords: two phase flow, bubble growth, mini-channel, generation frequency

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Authors: Rahele Mosleh

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This paper gives a survey of results on global stability of extended Ross model for malaria by constructing some elegant Lyapunov functions for two cases of epidemic, including disease-free and endemic occasions. The model is a nonlinear seven-dimensional system of ordinary differential equations that simulates this phenomenon in a more realistic fashion. We discuss the existence of positive disease-free and endemic equilibrium points of the model. It is stated that extended Ross model possesses invariant solutions for human and mosquito in a specific domain of the system.

Keywords: global stability, invariant solutions, Lyapunov function, stationary points

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Authors: Sammani Danwawu Abdullahi

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Vertex Enumeration Algorithms explore the methods and procedures of generating the vertices of general polyhedra formed by system of equations or inequalities. These problems of enumerating the extreme points (vertices) of general polyhedra are shown to be NP-Hard. This lead to exploring how to count the vertices of general polyhedra without listing them. This is also shown to be #P-Complete. Some fully polynomial randomized approximation schemes (fpras) of counting the vertices of some special classes of polyhedra associated with Down-Sets, Independent Sets, 2-Knapsack problems and 2 x n transportation problems are presented together with some discovered open problems.

Keywords: counting with uncertainties, mathematical programming, optimization, vertex enumeration

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Authors: M. Y. Malik, Farzana Khan

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In this article, we discuss the behavior of viscous fluid near stagnation point over a stretching cylinder with variable thermal conductivity. The effects of slip conditions are also encountered. Thermal conductivity is considered as a linear function of temperature. By using homotopy analysis method and Fehlberg method we compare the graphical results for both momentum and energy equations. The effect of different parameters on velocity and temperature fields are shown graphically.

Keywords: slip conditions, stretching cylinder, heat generation/absorption, stagnation point flow, variable thermal conductivity

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Authors: Zahidul Islam

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This study investigates the effectiveness of resourcing in post-disaster housing reconstruction with reference to Cyclones Sidr and Aila in Bangladesh. Through evaluating three key theories- Build Back Better approach, Balance Scorecard approach and Dynamic Competency theories, the synthesis of literature, and empirical fieldwork, this research develops a dynamic theoretical framework that moves the trajectory of post-disaster housing reconstruction towards the reconstruction of more resilient houses. The ultimate goal of any post-disaster housing reconstruction project is to provide quality houses and to achieve high levels of satisfaction for beneficiaries. However, post-disaster reconstruction projects often fail in their stated objectives; only 10-20% housing needs are met, with most houses constructed on a temporary rather than permanent basis. A number of scholars have argued that access to resources can significantly increase the capacity and capability of disaster victims to rebuild their lives, including the construction of new homes. This study draws on structured interviews of 285 villagers affected by cyclones to investigate the effectiveness of resourcing in rebuilding houses after Cyclone Sidr in 2007 and Cyclone Aila in 2009. Furthermore, semi-structured interviews were conducted with 20 key stakeholders in UNDP, Oxfam, government officials, and national and international NGOs. The results of this study show that recovery rate of cyclone resilient houses that can withstand cyclone is very low and majority of the population are still vulnerable. Furthermore, hierarchical regression of survey data and thematic analyses of qualitative data indicate that access to resources, level of education, quality of building materials and income generating activities of the respondents are critical for effective post-disaster recovery. Conversely, resource availability, lack of coordination among participant organisations, corruption and lack of access to appropriate land constituted significant obstacles to livelihood recovery. Finally, this study makes significant theoretical contributions to theories of post-disaster recovery by introducing new variables and measures for evaluating the quality and effectiveness of post-disaster housing.

Keywords: disaster, resourcing, housing, resilience

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Authors: Natasha Sharma, Kulbhushan Agnihotri

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Cellular Automata are discrete dynamical systems which are based on local character and spatial disparateness of the spreading process. These factors are generally neglected by traditional models based on differential equations for epidemic spread. The aim of this work is to introduce an SEIR model based on cellular automata on graphs to imitate epidemic spreading. Distinctively, it is an SEIR-type model where the population is divided into susceptible, exposed, infected and recovered individuals. The results obtained from simulations are in accordance with the spreading behavior of a real time epidemics.

Keywords: cellular automata, epidemic spread, graph, susceptible

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Authors: Lele Zhang, Hui Leng Choo, Alexander Konyukhov, Shuguang Li

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Finite Element (FE) model of simplified e-bike structure was generated by main frame with two tiers, which consisted of pipe, mass, beam, and shell elements (pipe 289, beam188, shell 181, shell 281, combin14, link11, mass21). These elements would be introduced and demonstrated using mathematical formulas. Based on coupling theory, constrain equations was proposed. Exporting all the parameters obtained from theory part, the connection stiffness matrix of the whole e-bike structure between each of these elements was detected.

Keywords: coupling theory, stiffness matrix, e-bike, finite element model

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Authors: T. G. Kassem, A. K. Adunchezor, J. P. Chollom

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This paper describes a mathematical model developed to predict the dynamics of Hepatitis B virus (HBV) infection and to evaluate the potential impact of vaccination and treatment on its dynamics. We used a compartmental model expressed by a set of differential equations based on the characteristic of HBV transmission. With these, we find the threshold quantity R0, then find the local asymptotic stability of disease free equilibrium and endemic equilibrium. Furthermore, we find the global stability of the disease free and endemic equilibrium.

Keywords: hepatitis B virus, epidemiology, vaccination, mathematical model

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