Search results for: mathematical discourses

Authors: Brar Prabhdip

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Art and fashion are coupled by a common bridge which is ‘Creativity’. For centuries art has influenced fashion and has been inspirational for modern-day national as well as international designers. Italian artists during the Renaissance period were highly influenced by art. 20th and 21st-century artists have often found themselves the muses of major fashion houses. Many times artists and designers like Andy Warhol, Damien Hirst, and Dior, Prada, respectively, have collaborated and successfully created prints, textiles, and silhouettes that have dazzled the art and fashion world. This paper nudges deeper and discourses the statement pieces of remarkable designers that have been influenced by art and adorned by international celebrities. Indian designer Manish Arora has been able to design a remarkable position for himself in the international fashion world. His clothes are avant-garde and favoured choice of celebrities like Lady Gaga and Katy Perry. The Manish Arora collaboration with Berlin-based artist Amrie Hoffstater has carved its space for a new segment. The latest collaboration, despite being in the pandemic, is between Sabyasachi (India) and Bergdorfs Goodman (New York). It boasts of the traditional Colonial Indian sensibility juxtaposed with the eclectic Western American mix for the new-age wearer. A qualitative and exploratory research design is steered towards both art and fashion as they reflect social, economic, and political changes. Social issues are highlighted through these platforms. Secondary data has been used for this paper to explain how designers have bridged the way for how one could wear fashion as a piece of art in and of itself. Conclusively we reach the perfect camaraderie between art and fashion.

Keywords: art, artist, collaboration, designer, fashion, relationship commas

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Authors: Alexandra Doga, Andreas Lioumpas, Sotiris Petropoulos

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This paper assesses China-Greece relations since 2006, examining them as part of China’s Grand Strategy and Greece’s perception of them. Τhe first aim of the paper is to provide an overview of China-Greece relations in connection with its long- and short-term goals. In essence, it focuses on understanding whether a Chinese grand strategy towards Greece exists. Secondly, it aims to examine the perception of Greeks over China’s foreign policy towards Greece. The intended contribution of the paper is to illustrate the response of national discourses over China’s increased presence in both the global sphere and specific countries in particular. This paper is based on qualitative analysis of secondary data as well as a thorough primary research scheme based on semi-structured interviews. The study made use of official Chinese government documents as well as academic journal articles and books. Local news outlets like newspapers provide data, and news surrounding Greece’s perception of China-Greece relations were also included. Moreover, a number of interviews of Greek officials, academics, journalists, and businessmen were conducted. This paper concluded that the period that began with the 2006 Joint Communiqué between China and Greece on the Establishment of Comprehensive Strategic Partnership has been one of the rapid strengthening of bilateral economic and political relations and frequent high-level visits. There are diverging/opposing views on whether China’s strategic choices towards Greece form part of a broader strategic approach and on whether this strategy is closely connected to the BRI initiative and its priorities.

Keywords: China, Greece, Grand Strategy, BRI, COSCO, Piraeus Port, Mediterranean

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Authors: Firman Riyudha, Endrik Mifta Shaiful

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The spread of drug users is one kind of behavioral epidemiology that becomes a threat to every country in the world. This problem caused various crisis simultaneously, including financial or economic crisis, social, health, until human crisis. Most drug users are teenagers at school age. A new deterministic model would be constructed to determine the dynamics of the spread of drug users by considering level of education in a susceptible population. Based on the analytical model, two equilibria points were obtained; there were E₀ (zero user) and E₁ (endemic equilibrium). Existence of equilibrium and local stability of equilibria depended on the Basic Reproduction Ratio (R₀). This parameter was defined as the expected rate of secondary prevalence and primary prevalence in virgin population along spreading primary prevalence. The zero-victim equilibrium would be locally asymptotically stable if R₀ < 1 while if R₀ > 1 the endemic equilibrium would be locally asymptotically stable. The result showed that R₀ was proportional to the rate of interaction of each susceptible population based on educational level with the users' population. It is concluded that there was a need to be given a control in interaction, so that drug users population could be minimized. Numerical simulations were also provided to support analytical results.

Keywords: drugs users, level education, mathematical model, stability

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Authors: Adam Ahmed Hosney

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The existence of a culture of corruption within an institution, such as the police, could be a sign of failure from various angles. There is a general perception among Ghanaians that the most corrupt institution is the police service. The purpose of this study is to formulate and analyze a nonlinear mathematical model to investigate corruption as an epidemic within the Ghana police service, this study revealed the basic reproduction number for corruption extinction and corruption survival. The threshold conditions for all kinds of equilibrium points are obtained using linearization methods and Lyapunov functional methods, and they demonstrate local asymptotic stability for both corrupt endemic and corrupt free equilibrium states. The model was analyzed qualitatively, and the solution was derived. The model appears to be positively invariant and attractive. Therefore, the region exhibits positive invariance. Thus, it is adequate to think about the dynamics of the model. For the purpose of illustrating the solution, the graphic result was presented and discussed. Results show that corruption will die out within the police service if the government shows no tolerance for those involved in corrupt practices. Study findings indicate that leaders should be trustworthy, demonstrate a complete and viable commitment to addressing corruption, and make it a priority to provide mass education to all citizens as well as using religious leaders to fight corruption since most Ghanaians are religious and trust their leaders.

Keywords: mathematical model, differential equation, dynamical system, simulation

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Authors: Shaza Melies, Abeer Refky, Nihad Mansoor

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Multimodality involves the communication between verbal and visual components in various discourses. A painting represents a form of communication between the artist and the viewer in terms of colors, shades, objects, and the title. This paper aims to present how multimodality can be used to decode the verbal and visual dimensions a painting holds. For that purpose, this study uses Kress and van Leeuwen’s theoretical framework of visual grammar for the analysis of the multimodal semiotic resources of selected paintings of Salvador Dali. This study investigates the visual decoding of the selected paintings of Salvador Dali and analyzing their social and political meanings using Kress and van Leeuwen’s framework of visual grammar. The paper attempts to answer the following questions: 1. How far can multimodality decode the verbal and non-verbal meanings of surrealistic art? 2. How can Kress and van Leeuwen’s theoretical framework of visual grammar be applied to analyze Dali’s paintings? 3. To what extent is Kress and van Leeuwen’s theoretical framework of visual grammar apt to deliver political and social messages of Dali? The paper reached the following findings: the framework’s descriptive tools (representational, interactive, and compositional meanings) can be used to analyze the paintings’ title and their visual elements. Social and political messages were delivered by appropriate usage of color, gesture, vectors, modality, and the way social actors were represented.

Keywords: multimodal analysis, painting analysis, Salvador Dali, visual grammar

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Authors: Pi-Hsia Hung

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The development of mathematical competency has individual benefits as well as benefits to the wider society. Children who begin school behind their peers in their understanding of number, counting, and simple arithmetic are at high risk of staying behind throughout their schooling. The development of effective strategies for improving the educational trajectory of these individuals will be contingent on identifying areas of early quantitative knowledge that influence later mathematics achievement. A computer-based quantity assessment was developed in this study to investigate the characteristics of 2nd and 3rd grade slow learners in quantity. The concept of quantification involves understanding measurements, counts, magnitudes, units, indicators, relative size, and numerical trends and patterns. Fifty-five tasks of quantitative reasoning—such as number sense, mental calculation, estimation and assessment of reasonableness of results—are included as quantity problem solving. Thus, quantity is defined in this study as applying knowledge of number and number operations in a wide variety of authentic settings. Around 1000 students were tested and categorized into 4 different performance levels. Students’ quantity ability correlated higher with their school math grade than other subjects. Around 20% students are below basic level. The intervention design implications of the preliminary item map constructed are discussed.

Keywords: mathematics assessment, mathematical cognition, quantity, number sense, validity

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Authors: Réka Sárközi, Péter Iványi, Attila B. Széll

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The aim of this paper is to present the adaptation of the dome construction tool for formex algebra to the parametric design software Grasshopper. Formex algebra is a mathematical system, primarily used for planning structural systems such like truss-grid domes and vaults, together with the programming language Formian. The goal of the research is to allow architects to plan truss-grid structures easily with parametric design tools based on the versatile formex algebra mathematical system. To produce regular structures, coordinate system transformations are used and the dome structures are defined in spherical coordinate system. Owing to the abilities of the parametric design software, it is possible to apply further modifications on the structures and gain special forms. The paper covers the basic dome types, and also additional dome-based structures using special coordinate-system solutions based on spherical coordinate systems. It also contains additional structural possibilities like making double layer grids in all geometry forms. The adaptation of formex algebra and the parametric workflow of Grasshopper together give the possibility of quick and easy design and optimization of special truss-grid domes.

Keywords: parametric design, structural morphology, space structures, spherical coordinate system

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Authors: Hui Fang Huang Su, Jia Borror

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This study compared two interventions for teaching math to preschool-aged students with autism spectrum disorder (ASD). The first is considered the business as usual (BAU) intervention, which uses the Strategies for Teaching Based on Autism Research (STAR) curriculum and discrete trial teaching as the instructional methodology. The second is the Math is Not Difficult (Project MIND) activity-embedded, naturalistic intervention. These interventions were randomly assigned to four preschool students with ASD classrooms and implemented over three months for Project Mind. We used measurement gained during the same three months for the STAR intervention. In addition, we used A quasi-experimental, pre-test/post-test design to compare the effectiveness of these two interventions in building mathematical knowledge and skills. The pre-post measures include three standardized instruments: the Test of Early Math Ability-3, the Problem Solving and Calculation subtests of the Woodcock-Johnson Test of Achievement IV, and the Bracken Test of Basic Concepts-3 Receptive. The STAR curriculum-based assessment is administered to all Baudhuin students three times per year, and we used the results in this study. We anticipated that implementing these two approaches would improve the mathematical knowledge and skills of children with ASD. Still, it is crucial to see whether a behavioral or naturalistic teaching approach leads to more significant results.

Keywords: early learning, autism, math for pre-schoolers, special education, teaching strategies

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Authors: Seipati Baloyi-Mothibedi, Wendy Setlalentoa

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Recently scholars have shown much interest in the engagement and involvement of educational stakeholders in early childhood development (ECD) research, which has yielded positive results for ECD globally, especially in South Africa. Realising this gap, this study reports on the establishment of the research group comprising teachers, parents, and education stakeholders, which aimed to enhance curriculum practice in a grade R mathematics class. We adopted bricolage as a theoretical lens, mainly for its multi-layered, multi-methodological, multi-perspectival, and metatheoretical benefits to make sense in reviewing the literature as well as the empirical part of the study. A participatory action research (PAR) study using collaborative information sessions, meetings, workshops, and as well transcend movements were employed in order to engage the team to have first-hand information in enhancing curriculum practice in a grade R mathematics class was conducted. We adopted audiovisuals, photo voices, and lesson demonstrations to generate the data. The generated data were transcribed into texts that were further analysed using three levels based on the spoken or written texts and social and discursive practices. At the end of the discourses, the findings showed that engagement, involvement, and inclusion of different education stakeholders were instrumental in enhancing curriculum practice in a grade R mathematics class for the highest attainment. From the findings, we developed a strategy for engagement and involvement of teachers, parents, and the education stakeholders in enhancing curriculum practice in grade R mathematics class.

Keywords: engagement, involvement, curriculum practice, grade R, mathematics class

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Authors: Joanne Hardman

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South Africa’s crisis in mathematics attainment is well documented. To meet the need to develop students’ mathematical performance in schools the government has launched various initiatives using computers to impact on mathematical attainment. While it is clear that computers can change pedagogical practices, there is a dearth of qualitative studies indicating exactly how pedagogy is transformed with Information Communication Technologies (ICTs) in a teaching activity. Consequently, this paper addresses the following question: how, along which dimensions in an activity, does pedagogy alter with the use of computer drill and practice software in four disadvantaged grade 6 mathematics classrooms in the Western Cape province of South Africa? The paper draws on Cultural Historical Activity Theory (CHAT) to develop a view of pedagogy as socially situated. Four ideal pedagogical types are identified: Reinforcement pedagogy, which has the reinforcement of specialised knowledge as its object; Collaborative pedagogy, which has the development of metacognitive engagement with specialised knowledge as its object; Directive pedagogy, which has the development of technical task skills as its object, and finally, Defensive pedagogy, which has student regulation as its object. Face-to-face lessons were characterised as predominantly Reinforcement and Collaborative pedagogy and most computer lessons were characterised as mainly either Defensive or Directive.

Keywords: computers, cultural historical activity theory, mathematics, pedagogy

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Authors: Pankhuri Dagaonkar, Charumani Singh, Poornima Krothapalli, Krishna Karthik

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The backbone of any retail e-commerce success story is a unique design of supply chain network, providing the business an unparalleled speed and scalability. Primary goal of the supply chain strategy is to meet customer expectation by offering fastest deliveries while keeping the cost minimal. Meeting this objective at the large market that India provides is the problem statement that we have targeted here. There are many models and optimization techniques focused on network design to identify the ideal facility location and size, optimizing cost and speed. In this paper we are presenting a tactical approach to optimize cost of an existing network for a predefined speed. We have considered both forward and reverse logistics of a retail e-commerce supply chain consisting of multiple fulfillment (warehouse) and delivery centers, which are connected via sortation nodes. The mathematical model presented here determines if the shipment from a node should get sorted directly for the last mile delivery center or it should travel as consolidated package to another node for further sortation (resort). The objective function minimizes the total cost by varying the resort percentages between nodes and provides the optimal resource allocation and number of sorts at each node.

Keywords: distribution strategy, mathematical model, network design, supply chain management

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Authors: Radhika Jagtap

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Contemporary scholarship in international legal theory is investigating new avenues of providing alternatives to dominant concepts. Indigenous peoples’ philosophies and perspectives developed through them provide a fertile ground to explore similar alternative ideas. This review paper evaluates the theorized accounts of indigenous scholarships which have contributed towards a rich body of knowledge generating alternative visions on dominant notions of ‘post coloniality’, ‘resistance’ and ‘globalization’. Further, it shall assess the relevance of such a project in shaping contemporary international legal thought. Traditional or classical international law has been opined to be highly influenced by the colonial and imperialist history which also left a mark on the way dominant discourses of resistance and globalization are read in mainstream international law. The paper shall first define what do we mean by indigenous philosophy and what kind of indigeneity is that inclusive of. Second, the paper defines the dominant discourse and then counters the same with the alternative indigenous perspective in the case of each concept that is in question. Finally, the paper shall conclude with certain theoretical findings – that the post coloniality, from indigenous perspective, lead to the further marginalization of indigeneity, especially in the third world; that human rights as the sole means of representing resistance in international law ends up making it a very state-centric discipline and last, that globalization from an indigenous, marginalised perspective is not as celebrated as it is in mainstream international law. Major scholarly works that shall be central to the discussion are those of Linda Tuiwahi Smith, Ella Shohat and David Harvey. The nature of the research shall be inductive and involve mostly theoretical review of scholarly works.

Keywords: indigenous, post colonial, globalization, perspectives

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Authors: Shuchi Bharti

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This article intends to analyse the transforming nature of state and corporate sector relationship in the light of evolving regulatory and institutional aspects pertaining to Corporate Social Responsibility (CSR) in India. The focus is on evaluating the accounts of law and decentred discourses, relevant within the changing regulatory and institutional paradigm that substantially goes ahead of formal legal control of state towards corporate actors. At this vantage point, it is important to understand the state’s posture towards a changing scenario particularly as the tone is set by regulatory parameters pertaining to CSR to drive process of engagement with the stakeholders. The tripartite framework of the article intends to focus on finding on the vital interconnected aspects of the CSR provisions (Section 135) of The Companies Act 2013 (The Act), rise of new institutions and the emergence of the decentred regulatory space. Thus is earmarked in a neo-liberal paradigm; state is witnessed to perform a responsive function in engendering enhanced public role for the corporate sector. In this overarching framework the aim is to undertake a causal, exploratory and relational analysis of aspects pertaining law, regulation and institutional transformations. Firstly, focus is drawn on to investigate the relational facets of the advent of law and regulatory framework of CSR. Secondly, in the light of the historical evolution, a causal connection is attempted between globalization, emergence of international soft law framework and the Indian case of CSR. Finally, I look into how the new Companies Act mandates CSR expenditure vis- a -vis multiple parameters and guidelines.

Keywords: corporate social responsibility, stakeholders, soft law, decentred regulation

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Authors: Ofosuhene O. Apenteng, Noor Azina Ismail

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Over the last several years, concern has developed over how to minimize the spread of HIV/AIDS epidemic in many countries. AIDS epidemic has tremendously stimulated the development of mathematical models of infectious diseases. The transmission dynamics of HIV infection that eventually developed AIDS has taken a pivotal role of much on building mathematical models. From the initial HIV and AIDS models introduced in the 80s, various improvements have been taken into account as how to model HIV/AIDS frameworks. In this paper, we present the impact of migration on the spread of HIV/AIDS. Epidemic model is considered by a system of nonlinear differential equations to supplement the statistical method approach. The model is calibrated using HIV incidence data from Malaysia between 1986 and 2011. Bayesian inference based on Markov Chain Monte Carlo is used to validate the model by fitting it to the data and to estimate the unknown parameters for the model. The results suggest that the migrants stay for a long time contributes to the spread of HIV. The model also indicates that susceptible individual becomes infected and moved to HIV compartment at a rate that is more significant than the removal rate from HIV compartment to AIDS compartment. The disease-free steady state is unstable since the basic reproduction number is 1.627309. This is a big concern and not a good indicator from the public heath point of view since the aim is to stabilize the epidemic at the disease equilibrium.

Keywords: epidemic model, HIV, MCMC, parameter estimation

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Authors: E. A. Kiridi, A. O. Ogunlela

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Pollutants from aquacultural practices constitute environmental problems and phytoremediation could offer cheaper environmentally sustainable alternative since equipment using advanced treatment for fish tank effluent is expensive to import, install, operate and maintain, especially in developing countries. The main objective of this research was, therefore, to develop a mathematical model for phytoremediation by aquatic plants in aquaculture wastewater. Other objectives were to evaluate the retention times on phytoremediation rates using the model and to measure the nutrient level of the aquaculture effluent and phytoremediation rates of three aquatic macrophytes, namely; water hyacinth (Eichornia crassippes), water lettuce (Pistial stratoites) and morning glory (Ipomea asarifolia). A completely randomized experimental design was used in the study. Approximately 100 g of each macrophyte were introduced into the hydroponic units and phytoremediation indices monitored at 8 different intervals from the first to the 28th day. The water quality parameters measured were pH and electrical conductivity (EC). Others were concentration of ammonium–nitrogen (NH₄⁺ -N), nitrite- nitrogen (NO₂⁻ -N), nitrate- nitrogen (NO₃⁻ -N), phosphate –phosphorus (PO₄³⁻ -P), and biomass value. The biomass produced by water hyacinth was 438.2 g, 600.7 g, 688.2 g and 725.7 g at four 7–day intervals. The corresponding values for water lettuce were 361.2 g, 498.7 g, 561.2 g and 623.7 g and for morning glory were 417.0 g, 567.0 g, 642.0 g and 679.5g. Coefficient of determination was greater than 80% for EC, TDS, NO₂⁻ -N, NO₃⁻ -N and 70% for NH₄⁺ -N using any of the macrophytes and the predicted values were within the 95% confidence interval of measured values. Therefore, the model is valuable in the design and operation of phytoremediation systems for aquaculture effluent.

Keywords: aquaculture effluent, macrophytes, mathematical model, phytoremediation

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Authors: Ellen McClure

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It is generally well-known that a number of inmates suffer from some form of substance or alcohol use disorder. This study identifies, analyses, classifies and codifies the most recent Canadian criminal judgments involving an accused diagnosed with an alcohol use disorder specifically. From this research, patterns in judicial discourse and sentencing norms can be established, and these findings can be juxtaposed with existing relevant academic literature, particular attention will be given to this discussion at the sentencing stage, and the subsequent incarceration of those with alcohol use disorders. This topic will be explored with an overarching emphasis on the effects that a lack of conversation regarding a possible correlation between alcohol consumption and crime may have. Although comparisons may be made in order to clarify or highlight certain issues, particular attention will be paid to jurisdictions within Canada. This paper explores the existing judicial discourse in sentencing regarding the relationship between alcohol and crime, and how this might explain the higher incarceration rates of those suffering from alcohol use disorders in Canada. The research questions are as follows: (1) What are the existing judicial discourses in sentencing around the relationship between alcohol and crime? (2) To what extent has the current discourse on alcohol addiction among judges and legal academics contributed to the incarceration of alcoholics?The major findings of this research indicate a strong correlation between a lack of judicial discussion regarding the accused’s alcohol use disorder and an increased tendency to consider an alcohol use disorder as an aggravating factor. Furthermore, it was found that an 82% of judges who discussed the alcohol use disorder meaningfully referred to the disorder as a mitigating factor. This can be compared with 6.7% of judges who referred to the alcohol use disorder as a mitigating factor in cases where the disorder was not meaningfully discussed.

Keywords: alcohol use disorder, addiction, criminal justice, judicial discourse

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Authors: Girts Zageris, Vadims Geza, Andris Jakovics

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Gasification processes are of great interest due to their generation of renewable energy in the form of syngas from biodegradable waste. It is, therefore, important to study the factors that play a role in the efficiency of gasification and the longevity of the machines in which gasification takes place. This study focuses on the latter, aiming to optimize an entrained-flow gasifier by reducing slag formation on its walls to reduce maintenance costs. A CFD mathematical model for an entrained-flow gasifier is constructed – the model of an actual gasifier is rendered in 3D and appropriately meshed. Then, the turbulent gas flow in the gasifier is modeled with the realizable k-ε approach, taking devolatilization, combustion and coal gasification into account. Various such simulations are conducted, obtaining results for different air inlet positions and by tracking particles of varying sizes undergoing devolatilization and gasification. The model identifies potential problematic zones where most particles collide with the gasifier walls, indicating risk regions where ash deposits could most likely form. In conclusion, the effects on the formation of an ash layer of air inlet positioning and particle size allowed in the main gasifier tank are discussed, and possible solutions for decreasing a number of undesirable deposits are proposed. Additionally, an estimate of the impact of different factors such as temperature, gas properties and gas content, and different forces acting on the particles undergoing gasification is given.

Keywords: biomass particles, gasification, slag formation, turbulence k-ε modelling

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Authors: Mehmet Erdi Korkmaz, Mustafa Günay

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Nowadays, grinding is frequently replaced with hard turning for reducing set up time and higher accuracy. This paper focused on mathematical modeling of average surface roughness (Ra) in hard turning of AISI L2 grade (DIN 1.2210) cold work tool steel with ceramic tools. The steel was hardened to 60±1 HRC after the heat treatment process. Cutting speed, feed rate, depth of cut and tool nose radius was chosen as the cutting conditions. The uncoated ceramic cutting tools were used in the machining experiments. The machining experiments were performed according to Taguchi L27 orthogonal array on CNC lathe. Ra values were calculated by averaging three roughness values obtained from three different points of machined surface. The influences of cutting conditions on surface roughness were evaluated as statistical and experimental. The analysis of variance (ANOVA) with 95% confidence level was applied for statistical analysis of experimental results. Finally, mathematical models were developed using the artificial neural networks (ANN). ANOVA results show that feed rate is the dominant factor affecting surface roughness, followed by tool nose radius and cutting speed.

Keywords: ANN, hard turning, DIN 1.2210, surface roughness, Taguchi method

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Authors: Hariyadi, Rili Windiasih

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Halal tourism is a recent global phenomenon that emerged out of the needs of Muslim tourists. However, works on halal tourism rarely discuss the connection of it to the rising religiosity in Indonesia since halal tourism has been mostly studied in the sphere of tourism, business, and management studies. A few works on the increase of Islamic expressions in Indonesia do mention the recent booming of non-mandatory pilgrimage to Mecca and the emergence of sharia compliant accommodation, yet they do not go into details on the issue. To our best knowledge, there is a lack of more critical, cultural political studies on halal tourism in which the paper attempts to fill in. The paper is a result of fieldwork research in Central Java, Indonesia. The study focuses on sacred sites for pilgrimage and sharia-compliant hotels. It combines in-depth interviews and participatory observation methods to gather the data. It is important for us to take a look at the network of halal tourism actors (businessperson, local government, clerics, etc.) in Central Java, how they conceive halal tourism, and how their networking shape halal tourism discourses, policies, and practices. Despite having numerous Islamic pilgrimage places and being designated by the Ministry of Tourism as one of 12 Muslim friendly tourist destinations, the province is not yet widely recognised as the main destination for halal tourism as it is known as the place for more secular, nationalist groups rather than for more Islamic oriented ones. However, in some of its municipalities, there is increasingly more attention to develop halal tourism. In this study, we found out that the development of halal tourism in Central Java connected to dynamics of Islamisation and ideological competition as well as the influence of the more pragmatist businesspersons in a 'nationalist province' in Indonesia.

Keywords: actor networking, halal tourism, Islamisation, Indonesia

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Authors: Abdelhakim Chillali, Abdelhamid Tadmori, Muhammed Ziane

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In this article we will study the elliptic curve defined over the ring An and we define the mathematical operations of ECC, which provides a high security and advantage for wireless applications compared to other asymmetric key cryptosystem.

Keywords: elliptic curves, finite ring, cryptography, study

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Authors: Giovanna Bimonte, Luigi Senatore, Francesco Saverio Tortoriello, Ilaria Veronesi

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The education process considers capabilities not only to be seen as a means to a certain end but rather as an effective purpose. Sen's capability approach challenges human capital theory, which sees education as an ordinary investment undertaken by individuals. A complex reality requires complex thinking capable of interpreting the dynamics of society's changes to be able to make decisions that can be rational for private, ethical and social contexts. Education is not something removed from the cultural and social context; it exists and is structured within it. In Italy, the "Mathematical High School Project" is a didactic research project is based on additional laboratory courses in extracurricular hours where mathematics intends to bring itself in a dialectical relationship with other disciplines as a cultural bridge between the two cultures, the humanistic and the scientific ones, with interdisciplinary educational modules on themes of strong impact in younger life. This interdisciplinary mathematics presents topics related to the most advanced technologies and contemporary socio-economic frameworks to demonstrate how mathematics is not only a key to reading but also a key to resolving complex problems. The recent developments in mathematics provide the potential for profound and highly beneficial changes in mathematics education at all levels, such as in socio-economic decisions. The research project is built to investigate whether repeated interactions can successfully promote cooperation among students as rational choice and if the skill, the context and the school background can influence the strategies choice and the rationality. A Laboratory on Game Theory as mathematical theory was conducted in the 4th year of the Mathematical High Schools and in an ordinary scientific high school of the Scientific degree program. Students played two simultaneous games of repeated Prisoner's Dilemma with an indefinite horizon, with two different competitors in each round; even though the competitors in each round will remain the same for the duration of the game. The results highlight that most of the students in the two classes used the two games with an immunization strategy against the risk of losing: in one of the games, they started by playing Cooperate, and in the other by the strategy of Compete. In the literature, theoretical models and experiments show that in the case of repeated interactions with the same adversary, the optimal cooperation strategy can be achieved by tit-for-tat mechanisms. In higher education, individual capacities cannot be examined independently, as conceptual framework presupposes a social construction of individuals interacting and competing, making individual and collective choices. The paper will outline all the results of the experimentation and the future development of the research.

Keywords: game theory, interdisciplinarity, mathematics education, mathematical high school

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Authors: Mahdieh Jajroudi

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Developing a pharmacokinetic model for the neuroendocrine tumors therapy agent 177Lu-DOTATATE in nude mice bearing AR42J rat pancreatic tumor to investigate and evaluate the behavior of the complex was the main purpose of this study. The utilization of compartmental analysis permits the mathematical differencing of tissues and organs to become acquainted with the concentration of activity in each fraction of interest. Biodistribution studies are onerous and troublesome to perform in humans, but such data can be obtained facilely in rodents. A physiologically based pharmacokinetic model for scaling up activity concentration in particular organs versus time was developed. The mathematical model exerts physiological parameters including organ volumes, blood flow rates, and vascular permabilities; the compartments (organs) are connected anatomically. This allows the use of scale-up techniques to forecast new complex distribution in humans' each organ. The concentration of the radiopharmaceutical in various organs was measured at different times. The temporal behavior of biodistribution of 177Lu labeled somatostatin analogues was modeled and drawn as function of time. Conclusion: The variation of pharmaceutical concentration in all organs is characterized with summation of six to nine exponential terms and it approximates our experimental data with precision better than 1%.

Keywords: biodistribution modeling, compartmental analysis, 177Lu labeled somatostatin analogues, neuroendocrine tumors

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Authors: Kanica Goel, Nilam

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Infectious diseases are a leading cause of death worldwide and hence a great challenge for every nation. Thus, it becomes utmost essential to prevent and reduce the spread of infectious disease among humans. Mathematical models help to better understand the transmission dynamics and spread of infections. For this purpose, in the present article, we have proposed a nonlinear time-delayed SVIRS (Susceptible-Vaccinated-Infected-Recovered-Susceptible) mathematical model with nonlinear type incidence rate and nonlinear type treatment rate. Analytical study of the model shows that model exhibits two types of equilibrium points, namely, disease-free equilibrium and endemic equilibrium. Further, for the long-term behavior of the model, stability of the model is discussed with the help of basic reproduction number R₀ and we showed that disease-free equilibrium is locally asymptotically stable if the basic reproduction number R₀ is less than one and unstable if the basic reproduction number R₀ is greater than one for the time lag τ≥0. Furthermore, when basic reproduction number R₀ is one, using center manifold theory and Casillo-Chavez and Song theorem, we showed that the model undergoes transcritical bifurcation. Moreover, numerical simulations are being carried out using MATLAB 2012b to illustrate the theoretical results.

Keywords: nonlinear incidence rate, nonlinear treatment rate, stability, time delayed SVIRS epidemic model

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Authors: Carmen Aguilera-Carnerero

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Islamophobia, the unfounded hostility towards Muslims and Islam, has been deeply studied in the last decades from different perspectives ranging from anthropology, sociology, media studies, and linguistics. In the past few years, we have witnessed how the birth of social media has transformed formerly passive audiences into an active group that not only receives and digests information but also creates and comments publicly on any event of their interest. In this way, average citizens now have been entitled with the power of becoming potential opinion leaders. This rise of social media in the last years gave way to a different way of Islamophobia, the so called ‘cyberIslamophobia’. Considerably less attention, however, has been given to the study of islamophobic images that accompany the texts in social media. This paper attempts to analyse a corpus of 300 images of islamophobic nature taken from social media (from Twitter and Facebook) from the years 2014-2017 to see: a) how hate speech is visually constructed, b) how cyberislamophobia is articulated through images and whether there are differences/similarities between the textual and the visual elements, c) the impact of those images in the audience and their reaction to it and d) whether visual cyberislamophobia has undergone any process of permeating popular culture (for example, through memes) and its real impact. To carry out this task, we have used Critical Discourse Analysis as the most suitable theoretical framework that analyses and criticizes the dominant discourses that affect inequality, injustice, and oppression. The analysis of images was studied according to the theoretical framework provided by the visual framing theory and the visual design grammar to conclude that memes are subtle but very powerful tools to spread Islamophobia and foster hate speech under the guise of humour within popular culture.

Keywords: cyberIslamophobia, visual grammar, social media, popular culture

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Authors: Somaye Sabetnia

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This paper is accomplished to probe Susanna Kaysen’s memoir Girl, Interrupted in the light of Michel Foucault’s theory of madness comprehensively set forth in his History of Madness (1961). It is an endeavor to analysis this novel based on Foucault’s idea of madness. In his archeological study of madness, Foucault introduces a way to perceive madness and its association with dominant discourses. He argues that the concept of madness is constructed within the social context, and different institutions affect its definition. Furthermore, he takes into consideration how each era treats madness, and affirms that in modern times, people considered mad are exiled out of cities, confined in madhouses, and later in clinics where they are treated with drugs. Set after World War II, the novel under observation highlights women’s conditions in which they were becoming a housewife or following their own desires; in fact, choosing the second one results in labeling mad. The protagonist of novel is labeled 'mad,' and is hence impelled to go to asylums where so-called patients are under the vigilant surveillance of the authorities to go through the process of 'normalization.' To discern how she is considered 'mad,' this article probes the dominant discourse of the time when the stories take place to provide a better understanding of madness under the impact of social, cultural, and political conditions. It examines how a so-called mad considered 'Other' and treated after being confined by the disciplinary system of the asylum in a panoptic world. In addition to, it describes the aim of treatment is to punish and control a patient not to cure. This article aims to indicate that Susanna Kaysen tries to picture what is defined as women’s madness is the result of the patriarchal society of the post-war America as well as the mental illness has nothing to do with blood; it is rather the result of the social inequality of the age.

Keywords: clinical treatment, disciplining and punishment, dominant discourse, normalization, other, panoptic world, reason vs. unreason

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Authors: Aïssa Rezzoug

Abstract:

This paper is aimed to bring new elements that demonstrate the tide caused the groundwater to rise in the shoreline band, on which the urban areas occurs, especially in the western coastal cities of the Kingdom of Saudi Arabia like Jeddah. The reason for the last events of Jeddah inundation was the groundwater rise in the city coupled at the same time to a strong precipitation event. This paper will illustrate the tide participation in increasing the groundwater level significantly. It shows that the reason for internal groundwater recharge within the urban area is not only the excess of the water supply coming from surrounding areas, due to the human activity, with lack of sufficient and efficient sewage system, but also due to tide effect. The research study follows a quantitative method to assess groundwater level rise risks through many in-situ measurements and mathematical modelling. The proposed approach highlights groundwater level, in the urban areas of the city on the shoreline band, reaching the high tide level without considering any input from precipitation. Despite the small tide in the Red Sea compared to other oceanic coasts, the groundwater level is considerably enhanced by the tide from the seaside and by the freshwater table from the landside of the city. In these conditions, the groundwater level becomes high in the city and prevents the soil to evacuate quickly enough the surface flow caused by the storm event, as it was observed in the last historical flood catastrophe of Jeddah in 2009.

Keywords: flood, groundwater rise, Jeddah, tide

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Authors: Salah Hassab Elnaby, Omnia Hamdy, Aziza Ahmed Hassan, Salwa Abdelkawi, Ibrahim Abdelhalim

Abstract:

Laser corneal reshaping has been proposed as a successful treatment of many refraction disorders. However, some physical and chemical demonstrations of the laser effect upon interaction with the corneal tissue are still not fully explained. Therefore, different computational and mathematical models have been implemented to predict the depth of the ablated channel and calculate the ablation threshold and the local temperature rise. In the current paper, we present a modified model that aims to answer some of the open questions about the ablation threshold, the ablation rate, and the physical and chemical mechanisms of that action. The proposed model consists of three parts. The first part deals with possible photochemical reactions between the incident photons and various components of the cornea (collagen, water, etc.). Such photochemical reactions may end by photo-ablation or just the electronic excitation of molecules. Then a chemical reaction is responsible for the ablation threshold. Finally, another chemical reaction produces fragments that can be cleared out. The model takes into account all processes at the same time with different probabilities. Moreover, the effect of applying different laser wavelengths that have been studied before, namely the common excimer laser (193-nm) and the solid state lasers (213-nm & 266-nm), has been investigated. Despite the success and ubiquity of the ArF laser, the presented results reveal that a carefully designed 213-nm laser gives the same results with lower operational drawbacks. Moreover, the use of mode locked laser could also decrease the risk of heat generation and diffusion.

Keywords: UV lasers, mathematical model, corneal ablation, photochemical ablation

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Authors: Elspeth McInnes

Abstract:

Research design is central to ethical research. Discriminatory research design is a key risk for researchers examining diverse cultural groups without conscious commitment to anti-discrimination values or knowledge of their culture. Culturally discriminatory research design is defined here as research proceeding from negative assumptions about people on the basis of race, colour, ethnicity, nationality or religion. Such discrimination can be direct or indirect. Direct discrimination is the uncritical mobilization of dominant group negative stereotypes of cultural minorities. Indirect discrimination is the examination of policies or programs grounded in dominant culture negative stereotypes that have been uncritically accepted by the researchers. This paper draws on anonymized elements of planned research projects and considers both direct and indirect cultural discrimination in research design and the responsibilities of ethics committees. Human research ethics committees provide a point of scrutiny with responsibility to alert researchers to risks of basing research on negative cultural stereotypes, as well as protecting participants from being subjected to negative discourses about them. This issue has become an increasing concern in a globalizing world of human displacement and migration creating a rise in the presence of minority cultures in host countries. As a nation established through colonization and immigration Australia has a long history of negative cultural stereotypes of Indigenous Australians as well as a legacy of the White Australia policy, which still echoes in attitudes to each wave of non-European immigration. The task of eliminating cultural discrimination in research design is vital to sustaining research integrity and ensuring that research is not used to reinforce or justify cultural discrimination.

Keywords: cultural discrimination, cultural stereotypes, participant risk, research design

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Authors: Tariq Aljuneidi, Akif Asil Bulgak

Abstract:

Remanufacturing may be defined as the process of bringing used products to “like-new” functional state with warranty to match, and it is one of the most popular product end-of-life scenarios. An efficient remanufacturing network lead to an efficient design of sustainable manufacturing enterprise. In remanufacturing network, products are collected from the customer zone, disassembled and remanufactured at a suitable remanufacturing facility. In this respect, another issue to consider is how the returned product to be remanufactured, in other words, what is the best layout for such facility. In order to achieve a sustainable manufacturing system, Cellular Manufacturing System (CMS) designs are highly recommended, CMSs combine high throughput rates of line layouts with the flexibility offered by functional layouts (job shop). Introducing the CMS while designing a remanufacturing network will benefit the utilization of such a network. This paper presents and analyzes a comprehensive mathematical model for the design of Dynamic Cellular Remanufacturing Systems (DCRSs). In this paper, the proposed model is the first one to date that consider CMS and remanufacturing system simultaneously. The proposed DCRS model considers several manufacturing attributes such as multi-period production planning, dynamic system reconfiguration, duplicate machines, machine capacity, available time for workers, worker assignments, and machine procurement, where the demand is totally satisfied from a returned product. A numerical example is presented to illustrate the proposed model.

Keywords: cellular manufacturing system, remanufacturing, mathematical programming, sustainability

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Authors: Serdal Pamuk, Irem Cay

Abstract:

Our model is based on the theory of reinforced random walks coupled with Michealis-Menten mechanisms which view endothelial cell receptors as the catalysts for transforming both tumor and macrophage derived tumor angiogenesis factor (TAF) into proteolytic enzyme which in turn degrade the basal lamina. The model consists of two main parts. First part has seven differential equations (DE’s) in one space dimension over the capillary, whereas the second part has the same number of DE’s in two space dimensions in the extra cellular matrix (ECM). We connect these two parts via some boundary conditions to move the cells into the ECM in order to initiate capillary formation. But, when does this movement begin? To address this question we estimate the thresholds that activate the transport equations in the capillary. We do this by using steady-state analysis of TAF equation under some assumptions. Once these equations are activated endothelial, pericyte and macrophage cells begin to move into the ECM for the initiation of angiogenesis. We do believe that our results play an important role for the mechanisms of cell migration which are crucial for tumor angiogenesis. Furthermore, we estimate the long time tendency of these three cells, and find that they tend to the transition probability functions as time evolves. We provide our numerical solutions which are in good agreement with our theoretical results.

Keywords: angiogenesis, capillary formation, mathematical analysis, steady-state, transition probability function

Procedia PDF Downloads 154