Search results for: Mary Anne Roa

Authors: Satyanarayana Kosaraju, Venu Gopal Anne, Sateesh Nagari

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In this paper, the effect of cutting speed, feedrate and rake angle in tool geometry on cutting forces and temperature generated on the tool tip in turning were investigated. The data used for the investigation derived from experiments conducted on precision lathe according to the full factorial design to observe the effect of each factor level on the process performance. During the tests, depth of cut were kept constant and each test was conducted with a sharp coated tool insert. Ti-6Al-4V was used as the workpiece material. The effects of cutting parameters and tool geometry on cutting forces and tool tip temperature were analyzed. The main cutting force was observed to have a decreasing trend and temperature found to be increasing trend as the rake angle increased.

Keywords: cutting force, tool tip temperature, rake angle, machining

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Authors: Mary Goitom, Maria Liegghio

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In this paper, we critically explore the ethics of Schools of Social Work from the global North developing courses for programs within the Global South. In it, we discuss our experiences of partnering with the University of Guyana to develop and teach graduate courses in a newly formed Masters of Social Work program. Under the umbrella of our university’s goal for 'internationalization', that is, developing and establishing global and local collaborations for teaching, research and scholarship, we bring into question whether a new form of academic imperialism is occurring under the guise of global citizenship and social justice.

Keywords: academic imperialism, global north and south, internationalization, social work education

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Authors: Mary Heather Lee T. Walker, Audilon Benjamin Madamba, Mizheal Vstrechnny Vidal, Rogelio Angeles, John Rhey Banag, Lorraine Martin

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Criminology students are the future police officers of the country that plays a major role in protecting the citizens. Their behavior must be thoroughly assessed before given a badge of responsibility. Therefore, it is important to highlight their Dark Triad that is composed of Machiavellianism, Narcissism, and Psychopathy which are considered to be controversial variables in the present while self-restraint is considered to be their way of controlling themselves especially in their line of work. The researchers used convenience and random sampling and found the respondents from a private school. Thus, the study’s aim is to determine whether there is a relationship among these variables. Machiavellianism and Psychopathy is linked to Self-Restraint except Narcissism. There are lots of factors that resulted into this.

Keywords: criminology, dark triad, self-restraint, students

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Authors: Mary Booth

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Biophotovoltaics is a method of green energy generation derived from exposing plants to lights. Its vast potential is hampered by the public’s relative ignorance of its existence. This work aims to formalize the principles of the physical processes of biophotovoltaics into a comprehensible visual software model, thus amplifying the human thought process. The methods used involve initially crafting a scale model of a working biophotovoltaic system from household materials inspired by the work of Paolo Bombelli. The scale model is then programmed into a system-level simulation, wherein a 3D animation dissects the system and its general energy generation process. The completed 3D system-level simulation ultimately creates a simplified visual understanding of the complex principles of the biophotovoltaic system.

Keywords: 3D, biophotovoltaics, render

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Authors: Mary Isobelle Mullaney

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The purpose of this research was to explore the attitudes of student Art and Design teachers (n=79) and their cooperating teachers in the Republic of Ireland (n=83) as to their interpretation of the role in teacher education. The role is outlined in terms of how the Teaching Council defines the role and then how the students and teachers see it being fulfilled. While overall teachers rated themselves as fulfilling the role expected of them, the interpretation varied greatly, with considerable deficits reported regarding guidance given in planning, observation of the student teacher, and feedback given. Overall, students saw teachers as fulfilling their role effectively, though there was considerable variation reported in experiences. A focus group was conducted in order to arrive at a more comprehensive understanding of the underlying factors influencing these discrepancies.

Keywords: Irish post primary teaching, cooperating teacher, student teacher, teacher education

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Authors: Mary Gouva, Elena Dragioti, Evangelia Kotrsotsiou

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Family identification has the potential to play a very decisive role in psychopathology. In this study we aimed to investigate the impact of family identifications on female psychopathology. A community sample of 101 women (mean age 20.81 years, SD = 0.91 ranged 20-25) participated to the present study. The girls completed a) the Symptom Check-List Revised (SCL-90) and b) questionnaire concerning socio-demographic information and questions for family identifications. The majority of women reported that they matched to the father in terms of identifications (47.1%). Age and birth order were not contributed on family identifications (F(5) =2.188, p=.062 and F(3)=1.244, p=.299 respectively). Multivariate analysis by using MANCOVA found statistical significant associations between family identifications and domains of psychopathology as provided by SCL-90 (P<05). Our results highlight the role of identifications especially on father and female psychopathology as well as replicate the Freudian perception about the female Oedipus complex.

Keywords: family identification, psychoanalysis, psychopathology, women

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Authors: Said Fares, Mary Fares

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It is well documented that introductory computer programming courses are difficult and that failure rates are high. The aim of this project was to reduce the high failure and withdrawal rates in learning to program. This paper presents a number of changes in module organization and instructional delivery system in teaching CS1. Daily out of class help sessions and tutoring services were applied, interactive lectures and laboratories, online resources, and timely feedback were introduced. Five years of data of 563 students in 21 sections was collected and analyzed. The primary results show that the failure and withdrawal rates were cut by more than half. Student surveys indicate a positive evaluation of the modified instructional approach, overall satisfaction with the course and consequently, higher success and retention rates.

Keywords: failure rate, interactive learning, student engagement, CS1

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Authors: Sarah E. Stief, Anne Theresa Eidhoff, Markus Voeth

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Despite all progress firms are facing the increasing need to adapt and assimilate digital technologies to transform their business activities in order to pursue business development. By using new digital technologies, firms can implement major business improvements in order to stay competitive and foster new growth potentials. The corresponding phenomenon of digital transformation has received some attention in previous literature in respect to industries such as media and publishing. Nevertheless, there is a lack of understanding of the concept and its organization within firms. With the help of twenty-three in-depth field interviews with German experts responsible for their company’s digital transformation, we examined what digital transformation encompasses, how it is organized and which opportunities and challenges arise within firms. Our results indicate that digital transformation is an inevitable task for all firms, as it bears the potential to comprehensively optimize and reshape established business activities and can thus be seen as a strategy of business development.

Keywords: business development, digitalization, digital strategies, digital transformation

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Authors: Veruska C. Dutra, Mary L. G. S. Senna

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The development of tourism is on the use of landscapes, natural or constructed, which involves a number of factors that contribute to the deterioration of nature. Tourist activity coupled with sustainable development has led to the emergence of many questions about these terms, since they are not well defined in this sense through literature searches. The present study was to analyze the main concepts and discussions involving sustainable tourism, providing reflections that can cause answers about one of the main questions in today's activity sector on whether its sustainability is a myth or reality. The methodology of this study is discussions, theoretical studies and bibliographic research. The results showed that the scholars who address the issue, often leave uncertainty about some discussions that demonstrate that there are still many studies to be conducted in order to prove that the claims so as to form the basis of what will be Tourism sustainable.

Keywords: tourism, sustainability, development, discussions

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Authors: Melvin Ballera, Aldrich Olivar, Mary Soriano

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Digital computers nowadays must be able to have a utility that is capable of generating random numbers. Usually, computer-generated random numbers are not random given predefined values such as starting point and end points, making the sequence almost predictable. There are many applications of random numbers such business simulation, manufacturing, services domain, entertainment sector and other equally areas making worthwhile to design a unique method and to allow unpredictable random numbers. Applying stochastic simulation using linear congruential algorithm, it shows that as it increases the numbers of the seed and range the number randomly produced or selected by the computer becomes unique. If this implemented in an environment where random numbers are very much needed, the reliability of the random number is guaranteed.

Keywords: stochastic simulation, random numbers, linear congruential algorithm, pseudorandomness

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Authors: Pocholo Rodriguez, Anne Bernadine Ocampo, Ian Benedict Chan, Janric Micah Gray

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The state of an electric power system may be classified as either stable or unstable. The borderline of stability is at any condition for which a slight change in an unfavourable direction of any pertinent quantity will cause instability. Voltage instability in power distribution systems could lead to voltage collapse and thus power blackouts. The researchers will present an intelligent system using back propagation algorithm that can detect voltage instability and output voltage of a power distribution and classify it as stable or unstable. The researchers’ work is the use of parameters involved in voltage instability as input parameters to the neural network for training and testing purposes that can provide faster detection and monitoring of the power distribution system.

Keywords: back-propagation algorithm, load instability, neural network, power distribution system

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Authors: Daleesha M. Viswanathan, Sumam Mary Idicula

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Dynamic hand gestures are an intrinsic component in sign language communication. Extracting spatial temporal features of the hand gesture trajectory plays an important role in a dynamic gesture recognition system. Finding a discrete feature descriptor for the motion trajectory based on the orientation feature is the main concern of this paper. Kalman filter algorithm and Hidden Markov Models (HMM) models are incorporated with this recognition system for hand trajectory tracking and for spatial temporal classification, respectively.

Keywords: orientation features, discrete feature vector, HMM., Indian sign language

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Authors: Anne Sørebø

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The present study was designed to test how fulfilment of three basic psychological needs influence students development of perceived usefulness (PU) and ease of use (EOU) in connection with use of a spreadsheet. Both PU and EOU are assumed to be critical for development of students' willingness to utilize spreadsheet in future work within business administration. A questionnaire was completed by 196 business students in Norway. We found that satisfying the need for competence and autonomy is most critical for willingness to utilize the software package. The results also indicate that satisfying the need for relatedness, surprisingly, has no influence on students’ willingness to utilize the software package. A key implication of the present research is that teachers mainly should focus on fulfilling students need for competence and self-determination when the purpose is to motivate them to utilize new software. That students’ should develop their own competence when using a new technology is somewhat obvious, but that the feeling of being self-determined needs to be a complementary element in this connection is not necessary seen as obvious.

Keywords: spreadsheet, business students, technology acceptance, basic psychological needs

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Authors: Saori Iwatsuka

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In The Member of the Wedding, Carson McCullers starts with the words, “It happened,” without telling the reader what happens to a twelve-year-old protagonist, Frankie Adams. The reader feels confused and incomprehensible. However, he or she later realizes that the confusing phrase is connected to the scene where Frankie feels “the thing happened” after listening to the melodic lines of jazz and blues. Yet, the reader cannot really comprehend what happens to Frankie and feels puzzled till the end. And the story ends with Frankie’s words, “I am simply mad about . . .” Implying her queer desire for her new friend Mary Littlejohn, McCullers never tells the reader whom Frankie is mad about. Despite McCullers’s ambiguous way of depicting Frankie’s sexuality, recent critics and reviewers have come to discuss her sexuality as anti-heterosexual because Frankie expresses her hatred for Barney, whom she has had some type of sexual encounter, and feels wrong with her brother Jarvis’s wedding. After giving up her sexual desire for Jarvis’s bride, Janice, Frankie changes her name to Frances, becomes engrossed with Michelangelo, and enjoys reading Tennyson’s poetry with Mary. Michelangelo and Tennyson are well-known homosexual artists, which suggests that Frankie has an anti-heterosexual orientation. As McCullers does not precisely describe Frankie’s sexuality, the reader can only assume it by connecting fragmentary descriptions. However, this discussion is more clarified to show Frankie’s sexuality because analyzing the musical references of jazz and blues and interpreting them from a musicological viewpoint will illuminate it. In her works, McCullers frequently uses musical references and descriptions, which have a significant and psychological impact on the protagonists and portrays their bodily reactions to the impact to reveal what the reader cannot see on the surface. Thus, in this story, too, Frankie’s bodily reaction to music is portrayed to cue her feelings. After seeing the chimney swifts, known as monogamous birds, Frankie feels “a jazz sadness,” quivers her nerves and stiffens her heart. After listening to Berenice’s “dark jazz voice,” Frankie feels dizzy and throws a knife because Berenice’s voice jazzes (excites) her heart that beats in her head. Calming herself, she fantasizes that Jarvis, Jarvis’s bride, Janice, and herself are members of “the we of me.” Then in the evening, listening to the blues and jazz being played by a black horn player somewhere in her neighborhood, Frankie realizes “the thing happened” and discovers “a new feeling.” Following the musical references “jazz” and “blues” and examining them from the viewpoint of musicology and terminology leads the reader to explore what “it” is in “it happened” and what her “new feeling” is when “the thing happened” with the blues tune breaking off. Those discussions will illuminate Frankie’s sexuality. As McCullers does not clearly name her sexuality, this paper uses the word queer to express Frankie’s anti-sexual orientation.

Keywords: jazz and blues, musical references, queer sexuality, “we of me”

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Authors: Mary Panko, Rashika Sharma

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Sustainability often appears to be an unfamiliar concept to many international students that enrol in a New Zealand technological degree. Lecturers’ experiences with classroom interactions and evaluation of assessments indicate that studying the concept enlightens and enhances international students understanding of sustainability. However, in most cases, even after studying sustainability in their degree programme, students are not given an opportunity to practice and apply this concept into their professions in their home countries. Therefore, using a qualitative approach, the academics conducted research to determine the change in international students understanding of sustainability before and after their enrolment in an Applied Technology degree. The research also aimed to evaluate if international students viewed sustainability of relevance to their professions and whether the students felt that they will be provided with an opportunity to apply their knowledge about sustainability in the industry. The findings of the research are presented in this paper.

Keywords: education for sustainability, international students, vocational education

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Authors: Brando Vagenende, Marie-Anne Guerry

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For stochastic matrices of any order, the geometric description of the convex set of eigenvalues is completely known. The purpose of this study is to investigate the subset of the monotone matrices. This type of matrix appears in contexts such as intergenerational occupational mobility, equal-input modeling, and credit ratings-based systems. Monotone matrices are stochastic matrices in which each row stochastically dominates the previous row. The monotonicity property of a stochastic matrix can be expressed by a nonnegative lower-order matrix with the same eigenvalues as the original monotone matrix (except for the eigenvalue 1). Specifically, the aim of this research is to focus on the properties of eigenvalues of monotone matrices. For those matrices up to order 3, there already exists a complete description of the convex set of eigenvalues. For monotone matrices of order at least 4, this study gives, through simulations, more insight into the geometric description of their eigenvalues. Furthermore, this research treats in a geometric and algebraic way the properties of eigenvalues of monotone matrices of order at least 4.

Keywords: eigenvalues of matrices, finite Markov chains, monotone matrices, nonnegative matrices, stochastic matrices

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Authors: Mary Dorothy Roxas, Jeian Mae Dungca, Reginald Agor, Beatriz Figueroa, Lennon Andre Patricio, Honey Joy Cabahug

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Parentification occurs when children are expected to provide instrumental or emotional caregiving within the family. It was found that parentification has the latter effect on adolescents’ cognitive and emotional vulnerability. Attachment theory helps clarify the process of parentification as it involves the relationship between the child and the parent. Carandang theory of “taga-salo” helps explain parentification in the Philippines setting. The present study examined the potential risk of parentification on adolescent’s memory retention by hypothesizing that there is a correlation between the two. The research was conducted with 249 female adolescents ages 12-24, residing in Valenzuela City. Results indicated that there is a significant inverse correlation between parentification and memory retention.

Keywords: memory retention, neurocognitive, parentification, stress

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Authors: Paul B Stone, Subhashini Ganapathy, Mary E. Fendley, Layla Akilan

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As notifications become more common through mobile devices, it is important to understand the impact of wearable devices on the improved user experience of man-machine interfaces. This study examined the use of a wearable device for a real-time system using a computer-simulated petrochemical system. The key research question was to determine how using the information provided by the wearable device can improve human performance through measures of situational awareness and decision making. Results indicate that there was a reduction in response time when using the watch, and there was no difference in situational awareness. Perception of using the watch was positive, with 83% of users finding value in using the watch and receiving haptic feedback.

Keywords: computer applications, haptic feedback, petrochemical systems, situational awareness, wearable technology

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Authors: Veruska C. Dutra, Mary L. G. S. Senna, Felipe S. Spindler

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The State Park Jalapao - PEJ proved to be one of the protected areas that has attracted tourists from all over the world with its unique scenic landscapes. Although the region already has a considerable tourist flow, to our knowledge there is a lack of continuity of studies in the region capable of drawing a plan of activities, such as the profile of the tourist and analysis of their experiences in the region, carried out from 2006-2007. Therefore, this study was proposed to know the profile and experiences of tourists visiting the park today, making a connection with the earlier study, in order to generate subsidies to trace improvement actions. We conducted interviews with tourists in the main tourism season 2015. The results show that after eight years of carrying out the first study, there were no changes, highlighting the lack of a tourism plan for the park.

Keywords: Jalapao, profile tourist, level, satisfaction

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Authors: Heather Caldwell

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In 1915, state superintendent, Mary C.C. Bradford initiated a state standardization plan in order to improve the quality of schools and the educational experience for all children in Colorado. This plan would change the schools, improving them and offering more opportunities for children, teachers, and the community. In a state where geography limited opportunity to make all schools equal and brought challenges to state school leaders to improve education throughout the state, the leadership prevailed and worked together with local schools and school leaders to make drastic improvements in the curriculum. This paper will discuss this plan and will highlight key contributions to this standardization plan that improved opportunities for all students in the state of Colorado through these educational initiatives.

Keywords: history of education, standardization, curriculum, state superintendent, women in education

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Authors: Alana C. M. Santana, Mary L. G. S. Senna

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T Sustainable development is very important for the existence of life on the planet. The use of any space without planning can cause impacts on the environment, which depending on the proportion may be irreversible. Buritis beach is very frequented by visitors, but it has no information on use and does not have enough infrastructure to collaborate with the preservation of the environment. Therefore, the objective of this study was to adopt a simple control list of environmental impacts in river beaches, in order to identify the environmental impacts generated in the post-holiday seasons of Buritis beach and to characterize the beach in terms of infrastructure. The holidays that carried out the analyzes were the nationals of the second half of 2017, as well as the universal fraternization holiday of 2018. The results show that the beach needs investments in its infrastructure and educational campaigns to minimize environmental impacts caused by anthropic action.

Keywords: environmental impacts, sustainable development, Buritis Beach, Brazil.

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Authors: Evy Rombaut, Marie-Anne Guerry

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Predicting voluntary turnover of employees is an important topic of study, both in academia and industry. Researchers try to uncover determinants for a broader understanding and possible prevention of turnover. In the current study, we use a data set based approach to reveal determinants for turnover, differing for blue and white collar workers. Our data set based approach made it possible to study actual turnover for more than 500000 employees in 15692 Belgian corporations. We use logistic regression to calculate individual turnover probabilities and test the goodness of our model with the AUC (area under the ROC-curve) method. The results of the study confirm the relationship of known determinants to employee turnover such as age, seniority, pay and work distance. In addition, the study unravels unknown and verifies known differences between blue and white collar workers. It shows opposite relationships to turnover for gender, marital status, the number of children, nationality, and pay.

Keywords: employee turnover, blue collar, white collar, dataset analysis

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Authors: Yasmin Tantawi, Mary Beth Rosson

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In response to the dearth of information about emoji use for different purposes in different settings, this paper investigates the paralinguistic function of emojis within Twitter communication in the United States. To conduct this investigation, the Twitter feeds from 16 population centers spread throughout the United States were collected from the Twitter public API. One hundred tweets were collected from each population center, totaling to 1,600 tweets. Tweets containing emojis were next extracted using the “emot” Python package; these were then analyzed via the IBM Watson API Natural Language Understanding module to identify the topics discussed. A manual content analysis was then conducted to ascertain the paralinguistic and emotional features of the emojis used in these tweets. We present our characterization of emoji usage in Twitter and discuss implications for the design of Twitter and other text-based communication tools.

Keywords: computer-mediated communication, content analysis, paralinguistics, sociology

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Authors: Arrian Cornwell, Larisa Yarovaya, Mary Thomson

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This paper seeks to examine the transboundary nature of foreign subsidiary exit vs. stay decisions when threatened by conflict in a host country. Using the concepts of nested vulnerability and teleconnections, we show that the threat of conflict can transcend bounded territories and have non-linear outcomes for actors, institutions and systems at broader scales of analysis. To the best of our knowledge, this has not been done before. By introducing the concepts of ‘leapfrogging upwards’ and ‘cascading downwards’, we develop a two-stage model which characterises the impacts of conflict as transboundary phenomena. We apply our model to a dataset of 266 foreign subsidiaries in six conflict-afflicted host countries over 2011-2015. Our results indicate that information is transmitted upwards and subsequent pressure flows cascade downwards, which, in turn, influence exit decisions.

Keywords: subsidiary exit, conflict, information transmission, pressure flows, transboundary

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Authors: Mary Oo, Thet Oo

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Mandalay is home to the last dynasty of Myanmar and is rich in cultural heritage. In Mandalay, cultural heritage is still being seen today, in not only intangible but also many tangible heritages. Intangible heritage, a religious structure such as mosques, churches, stupas, temples, Buddha libraries and monasteries, comprise over 80%. Among these religious structures, the authors aim to study the wooden monasteries built in the 19th century and then propose heritage management for them. Although some of the wooden monasteries are being conserved by the government, NGOs or inhabitants in those buildings, because of the unsystematic management plan and some of the inappropriate traditional methods, even their authentic architectural values have been lost today. In this paper, four aspects are explored: 1) the architectural features of 19th-century wooden monasteries 2) the condition of the problems and challenges, 3) the analysis of the problems of them and finally, based on these above analyses, recommend the appropriate heritage management proposal.

Keywords: Mandalay, wooden monasteries, challenges, problems, heritage management proposal

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Authors: Yuliang Liu, Thomas Lavallee, Mary Weishaar, Gretchen Fricke, Huaibo Xin

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The longitudinal study was designed to investigate the impacts of the International Training Program in Pedagogy (ITPP) at a midwestern institution in the United States on the visiting scholars from China from 2012-18. The study used the survey research method and involved 48 visiting scholars from Northwest Normal University in China in those eight ITPP cohorts. The results of both quantitative and qualitative data were critically examined and indicated both types of data sources revealed similar findings. It was found that the ITPP has significantly affected all scholars' instruction in China. International implications resulted from the study.

Keywords: international training program in pedagogy, visiting scholars, survey research method, International implications

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Authors: Adesiji Adeolu Richard, Hassa Musa, Osita Evaritus Asogwa, Mary Oluwatobi Odekunle, Mangey Jarumi Akila

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In this paper, extract from raw Moringa Oleifera seeds for the treatment of 40 liters of abattoir wastewater was studied for a period of ten (10) weeks. A completely randomized design with loading dosages of 10, 12, 14, 16, 18, and 20g of processed Moringa Oleifera seed was used in the treatment. A control sample (with no Moringa Oleifera treatment) was also included. The physical and chemical properties of abattoir wastewater were investigated before and after treatment. The turbidity value was reduced drastically after the treatments from 15.40 to 7.63 mg/l for 16g dosage in week 7. Total alkalinity, Total hardness, Conductivity, Calcium, and Biological Oxygen Demand were all found to be reduced in concentration within the second and fourth weeks of the experiment with 14 to 16g of Moringa Oleifera dosage. The results generally showed that 16g/500ml of Moringa Oleifera was able to treat abattoir wastewater after weeks of the experiment.

Keywords: Moringa Oleifera, abattoir wastewater, turbidity, conductivity, pH

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Authors: Mary Fargher

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This paper examines the opportunities of using a more hierarchical approach to geospatial enquiry in using GIS in school geography. A case is made that it is not just the lack of teacher technological knowledge that is stopping some teachers from using GIS in the classroom but that there is a gap in their understanding of how to link GIS use more specifically to the pedagogy of teaching geography with GIS. Using a hierarchical approach to geospatial enquiry as a theoretical framework, the analysis shows clearly how concepts of spatial distribution, interaction, relation, comparison, and temporal relationships can be used by teachers more explicitly to capitalise on the analytical power of GIS and to construct what can be interpreted as powerful geographical knowledge. An exemplar illustrating this approach on the topic of geo-hazards is then presented for critical analysis and discussion. Recommendations are then made for a model of progression for geography teacher education with GIS through hierarchical geospatial enquiry that takes into account beginner, intermediate, and more advanced users.

Keywords: digital geography, GIS, education, hierarchical geospatial enquiry, powerful geographical knowledge

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Authors: Preethy Mary Donald, Renjith George Pallivathukal

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Dens evaginatus (DE) is a rare developmental anomaly characterized by a slender enamel-covered tubercle which projects from the occlusal surface of an otherwise normal premolar. DE can often interfere normal occlusion and can lead to complications like sensitivity, pulpal exposure and temporo mandibular joint problems. The orthopantomographs (OPGs) and dental records of patients under the age of 20 who attended the faculty of dentistry, Melaka-Manipal Medical College were examined for DE. Results: The prevalence of DE was 23% among the study group. Males presented with a higher prevalence of 67% and females with 33%. The prevalence of Dens evaginatus was distributed as 28% in maxillary central incisor, 52% in maxillary lateral incisors, 12% in mandibular second premolars. Prevalence in permanent dentitions appeared to be higher than deciduous dentition. The bilateral occurrence of Dens evaginatus is an interesting phenomenon. 57% of the cases of the DE were bilateral.

Keywords: deciduous dentition, dens evaginatus, permanent dentition, prevalence

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Authors: Mary Chriselda A

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This paper deals with the fact that the Hubble's parameter is not constant and tends to vary stochastically with time. This premise has been proven by converting it to a stochastic differential equation using the Ornstein-Uhlenbeck process. The formulated stochastic differential equation is further solved analytically using the Euler and the Kolmogorov Forward equations, thereby obtaining the probability density function using the Fourier transformation, thereby proving that the Hubble's parameter varies stochastically. This is further corroborated by simulating the observations using Python and R-software for validation of the premise postulated. We can further draw conclusion that the randomness in forces affecting the white noise can eventually affect the Hubble’s Parameter leading to scale invariance and thereby causing stochastic fluctuations in the density and the rate of expansion of the Universe.

Keywords: Chapman Kolmogorov forward differential equations, fourier transformation, hubble's parameter, ornstein-uhlenbeck process , stochastic differential equations

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