Search results for: algebraic identities

Authors: N. Senu, I. A. Kasim, F. Ismail, N. Bachok

Abstract:

In this paper zero-dissipative explicit Runge-Kutta method is derived for solving second-order ordinary differential equations with periodical solutions. The phase-lag and dissipation properties for Runge-Kutta (RK) method are also discussed. The new method has algebraic order three with dissipation of order infinity. The numerical results for the new method are compared with existing method when solving the second-order differential equations with periodic solutions using constant step size.

Keywords: dissipation, oscillatory solutions, phase-lag, Runge-Kutta methods

Procedia PDF Downloads 381

Authors: G. S. Thakur

Abstract:

In this paper, four new operators (O1, O2, O3, O4) are proposed, defined and considered to study the new properties and identities on hesitant fuzzy sets. These operators are useful for different operation on hesitant fuzzy sets. The various theorems are proved using the new operators. The study of the proposed new operators has opened a new area of research and applications.

Keywords: vague sets, hesitant fuzzy sets, intuitionistic fuzzy set, fuzzy sets, fuzzy multisets

Procedia PDF Downloads 258

Authors: Alexandra Andrade Brandão Soares, Paulo Batista Gonçalves

Abstract:

Using a modal expansion that satisfies the boundary and continuity conditions and expresses the modal couplings characteristic of cylindrical shells in the nonlinear regime, the equations of motion are discretized using the Galerkin method. The resulting algebraic equations are solved by the Newton-Raphson method, thus obtaining the nonlinear frequency-amplitude relation. Finally, a parametric analysis is conducted to study the influence of the geometry of the shell, the gradient of the functional material and vibration modes on the degree and type of nonlinearity of the cylindrical shell, which is the main contribution of this research work.

Keywords: cylindrical shells, dynamics, functionally graded material, nonlinear vibrations

Procedia PDF Downloads 29

Authors: M. Khoshab, M. J. Sedigh

Abstract:

Dynamic systems, which in mathematical point of view are those governed by differential equations, are much more difficult to study and to predict their behavior in comparison with static systems which are governed by algebraic equations. Economical systems such as market are among complicated dynamic systems. This paper tries to adopt a very simple mathematical model for market and to study effect of supply and demand function on behavior of the market while the supply side experiences a lag due to production restrictions.

Keywords: dynamic system, lag on supply demand, market stability, supply demand model

Procedia PDF Downloads 276

Authors: Tara Panday, Despina Learmonth

Abstract:

Sex work is often constructed as being an interaction between male clients and female sex workers. As a result, street-based male sex workers are continuously overlooked in the South African literature. This qualitative study explored male sex workers’ subjective experiences and constructions of their male clients’ identities and the client-sex worker relationship. This research was conducted from a social-constructionist perspective, which allowed for a deeper understanding of the reasons and context driving the choices and actions of male sex workers. Semi-structured face-to-face interviews were conducted with 10 South African men working as sex workers in Cape Town. Data was analysed through thematic analysis. The findings of the study construct the client-sex worker relationship in terms of a professional relationship, constrained choice, sexual identity and need, as well as companionship for pay, potentially highlighting underlying reasons for supply and demand. The data which emerged around the client-sex worker relationship and the clients’ identities also served to illuminate the power-dynamics in the client-sex worker relationship. This data increases insight into the exploitation and disempowerment experienced by male sex workers through verbal abuse, physical and sexual violence, and unfairly enforced laws and regulations. The findings of this study suggest that, in the context of South Africa, male sex workers' experiences of the client-sex worker relationship cannot be completely understood without considering the intersectionality of the triple stigmatisation of: the criminality of sex work, race, and the lack of economic power, which systematically maintains marginalization. Motivating for the Law Reform Commission to continue to review all emerging research may assist with guiding related policy and thereby, the provision of equal human rights and adequate health and social interventions for all sex workers in South Africa.

Keywords: human rights, prostitution, power relations, sex work

Procedia PDF Downloads 454

Authors: Ladznar S. Laja, Rosalio G. Artes, Jr.

Abstract:

This paper introduced a graph polynomial relating convexity concepts. A graph polynomial is a polynomial representing a graph given some parameters. On the other hand, a subgraph H of a graph G is said to be convex in G if for every pair of vertices in H, every shortest path with these end-vertices lies entirely in H. We define the convex subgraph polynomial of a graph G to be the generating function of the sequence of the numbers of convex subgraphs of G of cardinalities ranging from zero to the order of G. This graph polynomial is monic since G itself is convex. The convex index which counts the number of convex subgraphs of G of all orders is just the evaluation of this polynomial at 1. Relationships relating algebraic properties of convex subgraphs polynomial with graph theoretic concepts are established.

Keywords: convex subgraph, convex index, generating function, polynomial ring

Procedia PDF Downloads 187

Authors: Somveer Singh, Vineet Kumar Singh

Abstract:

This work contributes a numerical method based on Legendre wavelet approximation for the treatment of partial integro-differential equation (PIDE). Operational matrices of Legendre wavelets reduce the solution of PIDE into the system of algebraic equations. Some useful results concerning the computational order of convergence and error estimates associated to the suggested scheme are presented. Illustrative examples are provided to show the effectiveness and accuracy of proposed numerical method.

Keywords: legendre wavelets, operational matrices, partial integro-differential equation, viscoelasticity

Procedia PDF Downloads 409

Authors: Sartaj Singh, Amar Singh, Ashok Sharma, Sandeep Kaur

Abstract:

With upcoming threats in a digital world, we need to work continuously in the area of security in all aspects, from hardware to software as well as data modelling. The rise in social media activities and hunger for data by various entities leads to cybercrime and more attack on the privacy and security of persons. Cryptography has always been employed to avoid access to important data by using many processes. Symmetric key and asymmetric key cryptography have been used for keeping data secrets at rest as well in transmission mode. Various cryptosystems have evolved from time to time to make the data more secure. In this research article, we are studying various cryptosystems in asymmetric cryptography and their application with usefulness, and much emphasis is given to Elliptic curve cryptography involving algebraic mathematics.

Keywords: cryptography, symmetric key cryptography, asymmetric key cryptography

Procedia PDF Downloads 94

Authors: Sana Ansari, Sirus Mohammadi

Abstract:

In distribution systems, shunt capacitors are used to reduce power losses, to improve voltage profile, and to increase the maximum flow through cables and transformers. This paper presents a new method to determine the optimal locations and economical sizing of fixed and/or switched shunt capacitors with a view to power losses reduction and voltage stability enhancement. General Algebraic Modeling System (GAMS) has been used to solve the maximization modules using the MINOS optimization software with Linear Programming (LP). The proposed method is tested on 33 node distribution system and the results show that the algorithm suitable for practical implementation on real systems with any size.

Keywords: power losses, voltage stability, radial distribution systems, capacitor

Procedia PDF Downloads 624

Authors: Maryam Mousivand

Abstract:

Subculture is one of the important concepts in social sciences and the field of cultural studies, which falls under the huge concept of culture. In general, subculture is a kind of movement and experience of collective resistance that is manifested by a population as a reaction against the acceptance of official identities approved by custom and society. Subcultures exist in the virtual world in the new era, and they emerged in various forms, such as the emergence of a subculture under common concepts and interests in the form of sites, channels, and groups of virtual space, which will be discussed in this article.

Keywords: subculture, social media, cultural studies, culture

Procedia PDF Downloads 92

Authors: F. Maass, P. Martin, J. Olivares

Abstract:

The aim of this work is the application of the program GeoGebra in teaching the study of nonhomogeneous linear second order differential equations with constant coefficients. Different kind of functions or forces will be considered in the right hand side of the differential equations, in particular, the emphasis will be placed in the case of trigonometrical functions producing the resonance phenomena. In order to obtain this, the frequencies of the trigonometrical functions will be changed. Once the resonances appear, these have to be correlationated with the roots of the second order algebraic equation determined by the coefficients of the differential equation. In this way, the physics and engineering students will understand resonance effects and its consequences in the simplest way. A large variety of examples will be shown, using different kind of functions for the nonhomogeneous part of the differential equations.

Keywords: education, geogebra, ordinary differential equations, resonance

Procedia PDF Downloads 218

Authors: Mai Hussein

Abstract:

'Littoral' is an original voice in Québécois theatre, spanning the cultural gaps that can exist between the playwrights’ native Lebanon, North America, Quebec, and Europe. Littoral is a 'crossroad' of cultures and themes, a 'bridge' connecting cultures and languages. It represents a new form of theatrical writing that combines the verbal, the vocal and the pantomimic, calling upon the stage to question the real, to engage characters in a quest, in a journey of mourning, of reconstructing identity and a collective memory despite ruins and wars. A theatre of witness, a theatre denouncing irrationality of racism and war, a theatre 'performing' the symptoms of the stress disorders of characters passing from resistance and anger to reconciliation and giving voice to the silenced victims, these are some of the pillars that this play has to offer. In this corrida between life and death, the identity seems like a work-in-progress that is shaped in the presence of the Self and the Other. This trajectory will lead to re-open widely the door to questions, interrogations, and reflections to show how this play is at the nexus of contemporary preoccupations of the 21st century: the importance of memory, the search for meaning, the pursuit of the infinite. It also shows how a play can create bridges between languages, cultures, societies, and movements. To what extent does it mediate between the words and the silence, and how does it burn the bridges or the gaps between the textual and the performative while investigating the power of intermediality to confront racism and segregation. It also underlines the centrality of confrontation between cultures, languages, writing and representation techniques to challenge the characters in their quest to restructure their shattered, but yet intertwined identities. The goal of this theatre would then be to invite everyone involved in the process of a journey of self-discovery away from their comfort zone. Everyone will have to explore the liminal space, to read in between the lines of the written text as well as in between the text and the performance to explore the gaps and the tensions that exist between what is said, and what is played, between the 'parole' and the performative body.

Keywords: identity, memory, performance, testimony, trauma

Procedia PDF Downloads 98

Authors: Rick Evans

Abstract:

Despite over 40 years of research into why women choose not to enroll or leave undergraduate engineering programs, along with the subsequent and serious efforts to attract more women, women receiving bachelor's degrees in engineering in the US have remained disappointingly low. We know that even despite their struggles to become more welcoming and inclusive, engineering programs remain gendered, raced and classed. However, our research team has found that women who participate and indeed thrive in undergraduate engineering project teams do so in numbers that far exceed their participation in undergraduate programs. We believe part of the answer lies in the ways that project teams facilitate experiential learning, specifically providing opportunities for members to play, practice and perform. We employ a multi-case study method and assume a feminist, activist and interpretive perspective. We seek to generate concrete and context-dependent knowledge in order to explore potentially new variables and hypotheses. Our focus is to learn from those select women who are thriving. For this oral or e-poster presentation, we will focus on the results of the second of our semi-structured interviews – the learning journey interview. During this interview, we ask participants to tell us the story/ies of their participation in project teams. Our results suggest these women find joy in their experience of developing and applying engineering expertise. They experience this joy and develop their expertise in the highly patterned progression of play, practice and performance. Play is a purposeful activity in which someone enters an imaginary world, a world not yet real to them. However, this imaginary world is still very much connected to the real world, in this case, a particular kind of engineering, in that the ways of engaging are already established, codified and rule-governed. As such, these women are novices motivated to join a community of actors. Practice, better understood as practices, a count noun, is an embodied, materially interconnected collection of actions organized around the shared understandings of that community of actors. Those shared understandings reveal a social order – a particular field of engineering. No longer novices, these women begin to develop and display their emergent identities as engineers. Perform is activity meant either to demonstrate competence and/or to enable, even teach play and practice to others. As performers, these women participants become models for others. They direct play and practice, contextualizing both within a field of engineering and the specific aims of the project team community. By playing, practicing and performing engineering, women claim their identities as engineers and, equally important, have those identities acknowledged by team members. If we hope to transform our gendered, raced, classed institutions, we need to learn more about women who thrive within those institutions. We need to learn more about their processes of becoming and belonging as engineers. Our research presentation begins with a description of project teams and our multi-case study method. We then offer detailed descriptions of play, practice, and performance using the voices of women in project teams.

Keywords: engineering education, gender, identity, project teams

Procedia PDF Downloads 98

Authors: Mora Kestelman

Abstract:

This paper analyzes various family groups of vulnerable populations as regards their family, educational, labor trajectory and sociability from a relational and historical approach based on archive research and fieldwork. Therefrom, their position and life projects are reconsidered as regards the planning and design of the habitat in which they are immersed. It concludes that a critical review of objectivity and subjectivity emphasizes the nonrational, often unconscious, forces that drive human and non-human relationships to configure identities, which, thus, permanently become constituent to the subjects.

Keywords: social psychology, urban planning, self concept, social networks, identity theory

Procedia PDF Downloads 55

Authors: Roxanne J. Kovacs

Abstract:

This paper shows that political corruption in Ghana and Kenya does not, as is assumed by a considerable part of the academic literature, depend on the level of party competition as such, but rather on the kinds of issues that parties compete about. Party competition in Ghana revolves around party performance, which gives political leaders a strong incentive to control corruption. In contrast, party competition in Kenya revolves around ethnic identities, which directly reduces competition based on candidate quality and therefore fosters corruption.

Keywords: corruption, electoral competition, Kenya, Ghana

Procedia PDF Downloads 315

Authors: Mamyrbek A. Beisenbi, Nurgul M. Kissikova, Saltanat E. Beisembina, Salamat T. Suleimenova, Samal A. Kaliyeva

Abstract:

The paper proposes a method for constructing a self-organizing control system for unstable and deterministic chaotic processes in the class of catastrophe “hyperbolic umbilic” for objects with m-inputs and n-outputs. The self-organizing control system is investigated by the universal gradient-velocity method of Lyapunov vector functions. The conditions for self-organization of the control system in the class of catastrophes “hyperbolic umbilic” are shown in the form of a system of algebraic inequalities that characterize the aperiodic robust stability in the stationary states of the system.

Keywords: gradient-velocity method of Lyapunov vector-functions, hyperbolic umbilic, self-organizing control system, stability

Procedia PDF Downloads 113

Authors: Tuğçe Kök, Gözen Güner Aktaş, Nur Ayalp

Abstract:

In a global world, Social and cultural sustainability are subjects which have gained significant importance in recent years. The concept of sustainability was included in the document of the World Conservation Union (IUCN) by World Charter for Nature, adopted in 1982 for the first time. However, merged with urban sustainability a new phenomenon has emerged. Sustainability is an essential fact, This fact is discussed via the socio-cultural field of sustainability. Together with central government and local authorities, conservation activities have been intensified on the protection of values on an area scale. Today, local authorities play an important role in the urban historic site rehabilitation and re-construction of traditional houses projects in Ankara, Turkey. Many conservative acts have occurred after 1980’s. To give a remarkable example about the conservation implementations of traditional Turkish houses is ‘Hamamönü, Ankara Re-Construction Project which is one of the historical parts that has suffered from deterioration and unplanned urban development. In this region, preexisting but unused historic fibre of the site has been revised and according to result of this case-study, the relationship between users and re-construction were discussed. Most of the houses were re-constructed in order to build a new tourist attraction area. This study discusses the socio-cultural relations between the new built environment and the visitors, from the point of cultural sustainability. This study questions the transmission of cultural stimulations. A case study was conducted to discuss the perception of cultural aspects of the visitors in the site. The relationship between the real cultural identities and existent ones after the re-constructed project, Which has been transmitted through the visitors and the users of those spaces will be discussed. The aim of the study is to analyze the relation between the cultural identities, which have been tried to be protected with the re-construction project and the users. The purposes of this study are to evaluate the implementations of Altındağ Municipality in Hamamönü and examine the socio-cultural sustainability with the user responses. After the assessment of implementation under socio-cultural sustainability, some proposals for the future of Hamamönü were introduced.

Keywords: social sustainability, cultural sustainability, Hamamönü, Turkey, re-construction

Procedia PDF Downloads 448

Authors: Galal Elkobrosy, Amr M. Abdelrazek, Bassuny M. Elsouhily, Mohamed E. Khidr

Abstract:

Crank shaft length, connecting rod length, crank angle, engine rpm, cylinder bore, mass of piston and compression ratio are the inputs that can control the performance of the slider crank mechanism and then its efficiency. Several combinations of these seven inputs are used and compared. The throughput engine torque predicted by the simulation is analyzed through two different regression models, with and without interaction terms, developed according to multi-linear regression using LU decomposition to solve system of algebraic equations. These models are validated. A regression model in seven inputs including their interaction terms lowered the polynomial degree from 3^rd degree to 1^st degree and suggested valid predictions and stable explanations.

Keywords: design of experiments, regression analysis, SI engine, statistical modeling

Procedia PDF Downloads 159

Authors: Katalin Kovacs

Abstract:

In most forms of violence the perpetrators intend to hide their identities. Terrorism is different. Terrorist groups often take responsibility for their attacks, and consequently they reveal their identities. This unique characteristic of terrorism has been largely overlooked, and scholars are still puzzled as to why terrorist groups claim responsibility for their attacks. Certainly, the claim of responsibility is worth analysing. It would help to have a clearer picture of what terrorist groups try to achieve and how, but also to develop an understanding of the strategic planning of terrorist attacks and the message the terrorists intend to deliver. The research aims to answer the question why terrorist groups choose to claim responsibility for some of their attacks and not for others. In order to do so the claim of responsibility is considered to be a tactical choice, based on the assumption that terrorists weigh the costs and benefits of claiming responsibility. The main argument is that terrorist groups do not claim responsibility in cases when there is no tactical advantage gained from claiming responsibility. The idea that the claim of responsibility has tactical value offers the opportunity to test these assertions using a large scale empirical analysis. The claim of responsibility as a tactical choice depends on other tactical choices, such as the choice of target, the internationality of the attack, the number of victims and whether the group occupies territory or operates as an underground group. The structure of the terrorist groups and the level of decision making also affects the claim of responsibility. Terrorists on the lower level are less disciplined than the leaders. This means that the terrorists on lower levels pay less attention to the strategic objectives and engage easier in indiscriminate violence, and consequently they would less like to claim responsibility. Therefore, the research argues that terrorists, who are on a highest level of decision making would claim responsibility for the attacks as those are who takes into account the strategic objectives. As most studies on terrorism fail to provide definitions; therefore the researches are fragmented and incomparable. Separate, isolated researches do not support comprehensive thinking. It is also very important to note that there are only a few researches using quantitative methods. The aim of the research is to develop a new and comprehensive overview of the claim of responsibility based on strong quantitative evidence. By using well-established definitions and operationalisation the current research focuses on a broad range of attributes that can have tactical values in order to determine circumstances when terrorists are more likely to claim responsibility.

Keywords: claim of responsibility, leadership, tactical choice, terrorist group

Procedia PDF Downloads 291

Authors: Julianne Viola

Abstract:

Young people are at a critical stage in their lives, developing from young participants to adult participants in democratic society. At this time, civic engagement is crucial for young people’s sense of belonging and future participation in their communities. In adolescence, individuals form their own identities and associations with others and may accomplish this with the help of technology and social media. In the Digital Age, young people and adults use technology as a platform to discuss political issues, including human rights and social justice but do not always engage in civil discourse. There is an urgent need to investigate this complex interplay of social media, identity formation, and civil discourse as it relates to how teenagers become participants in democratic society and how they engage in civil discourse. This qualitative study draws on theories of identity formation in adolescence and is situated within the literature surrounding teen civic engagement and technology use. Through in-depth interviews with participants ages 14 through 17, this study investigates the ways in which teens conceptualize their civic identities and engagement, presence online, and civil discourse. The context in which the young people in this study have grown up has the potential to impact and inform these processes. Early results of this study illustrate what it means to be a young person in today’s world, and how perceptions of others’ opinions may influence young people’s engagement in their communities and online. Participants in this study often indicated concerns of their age as a constraint on participation in their communities and in society, and a self-imposed restriction around the people with whom they engage in conversation about political and social issues. While the participants shared common concerns and experiences, each participant’s unique perspectives and beliefs are viewed with equal importance. The results from this research will help students, teachers, and community groups learn about the reasons for engagement and disengagement among this age group, and how technology has influenced teens’ dialogue about political issues. With this knowledge, academics and school leaders can devise new ways to best teach citizenship skills and civil discourse to students in the Digital Age.

Keywords: civics, digital age, discourse, sociology of youth, youth studies

Procedia PDF Downloads 234

Authors: Karen Butler

Abstract:

The LGBTQ youth of color face stigma related to both race and gender identity. Effectively dealing with racial/ethnic discrimination requires strong connections to family and one’s racial/ethnic group. However, LGBTQ youth of color seldom receive support from family, peer groups or church groups. Moreover, ethnic communities often perceive LGBTQ identities as a rejection of ethnic heritage. Thus, stigma places these young people at greater risk for substance use, violence, risky sexual behaviors, suicide, and homelessness. Offering a Queer Studies (QS) class is one way to facilitate a safer and more inclusive environment for LGBTQ students, faculty and staff. The discipline of Queer Studies encompasses theories and thinkers from numerous fields: cultural studies, gay and lesbian studies, race studies, women's studies, media, postmodernism, post-colonialism, psychoanalysis and more. We began our course development by researching existing programs and classes. Several course syllabi were examined and course materials such as readings, videos, and guest speakers were assessed for possible inclusion. We also employed informal survey methods with students and faculty in order to gauge interest in the course. We then developed a sample course syllabus and began the process of new course approval. Feedback thus far indicates that students of various sexual orientations and gender identities are interested in the course and understand the need to offer it; faculty in Psychology, Social Work, and Interdisciplinary Studies are interested in cross-listing the course; library staff is willing to assist with course material acquisition, and the administration is supportive. The purpose of this session is to 1) explore the various health and wellness issues facing LGBTQ students of color and 2) share our experience of developing a QS course in health education in order to address these needs. This process, from initial recognition of the need to a course offering, will be described and discussed in the hopes that participants will increase their awareness of the issues. A QS course would be an appropriate requirement for any number of majors as well as an elective for any major.

Keywords: black colleges, health education, LGBTQ, queer studies

Procedia PDF Downloads 123

Authors: N. Ould Cherchali, A. Tlemçani, M. S. Boucherit, A. Morsli

Abstract:

Nature-inspired metaheuristic algorithms, particularly those founded on swarm intelligence, have attracted much attention over the past decade. Firefly algorithm has appeared in approximately seven years ago, its literature has enlarged considerably with different applications. It is inspired by the behavior of fireflies. The aim of this paper is the application of firefly algorithm for solving a nonlinear algebraic system. This resolution is needed to study the Selective Harmonic Eliminated Pulse Width Modulation strategy (SHEPWM) to eliminate the low order harmonics; results have been applied on multilevel inverters. The final results from simulations indicate the elimination of the low order harmonics as desired. Finally, experimental results are presented to confirm the simulation results and validate the efficaciousness of the proposed approach.

Keywords: firefly algorithm, metaheuristic algorithm, multilevel inverter, SHEPWM

Procedia PDF Downloads 123

Authors: Khosrow Maleknejad, Yaser Rostami

Abstract:

In this paper, semi-orthogonal B-spline scaling functions and wavelets and their dual functions are presented to approximate the solutions of integro-differential equations.The B-spline scaling functions and wavelets, their properties and the operational matrices of derivative for this function are presented to reduce the solution of integro-differential equations to the solution of algebraic equations. Here we compute B-spline scaling functions of degree 4 and their dual, then we will show that by using them we have better approximation results for the solution of integro-differential equations in comparison with less degrees of scaling functions.

Keywords: ıntegro-differential equations, quartic B-spline wavelet, operational matrices, dual functions

Procedia PDF Downloads 431

Authors: Amal Ezzidani, Abdelghani Ben Tahar, Mohamed Hanini

Abstract:

A sequence of finite tandem queue is considered for this study. Each one has a single server, which operates under the egalitarian processor sharing discipline. External customers arrive at each queue according to a renewal input process and having a general service times distribution. Upon completing service, customers leave the current queue and enter to the next. Under mild assumptions, including critical data, we prove the existence and the uniqueness of the fluid solution. For asymptotic behavior, we provide necessary and sufficient conditions for the invariant state and the convergence to this invariant state. In the end, we establish the convergence of a correctly normalized state process to a fluid limit characterized by a system of algebraic and integral equations.

Keywords: fluid limit, fluid model, measure valued process, processor sharing, tandem queue

Procedia PDF Downloads 293

Authors: Natsuko D'Aprile

Abstract:

The construction of Nation-States is a historical process that produces a type of national identity and culture that States nowadays mobilise for global outreach. National culture, as a set of norms and values influencing individuals’ actions and decisions, produces a type of policy making of various strategies that impact how a Nation is promoted overseas. The 1990s were marked by a resurgence of the debates on national identity. This period is believed to have paved the way for nationalism and witnessed increased attention to analytical approaches to identity. Public diplomacy is a concrete example of how national culture is mobilised to project a favourable image of a Nation abroad, especially in the narratives on national identity mobilised by diplomatic actors. Public diplomacy is understood as providing tools for States to build and project strategic narratives that represent events and identities in an attempt to influence domestic and foreign audiences, be they domestic or foreign. France and Japan received little attention on the matter. This research hence aims to investigate how France and Japan have mobilised narratives on national identity since the 1990s in the context of their public diplomacy. To understand how identities are framed, qualitative and quantitative discourse analysis has been performed on a corpus of various speeches held by French and Japanese political actors in which they present their diplomacy goals, as well as official documents provided by both Ministries of Foreign Affairs. This analysis showed that the French discourse integrates a narrative on France’s universal vocation, relying on the expression of a Nation whose model is worldly applicable and has the legitimacy to influence international decisions. The Japanese discourse does not concretely emphasise Japanese or Asian values, except for some narratives integrating Confucian and Shintō values. It rather revolves around the need for Japan to ensure its citizens’ security and prosperity, hence the need for the Government to contribute to peace in the Asia-Pacific region and the world.

Keywords: comparative politics, culture, discourse analysis, narratives, public diplomacy

Procedia PDF Downloads 53

Authors: Ömer Aktaş, Olga A. Suvorova, Oleg Tretyakov

Abstract:

The boundary value problem on non-canonical and arbitrary shaped contour is solved with a numerically effective method called Analytical Regularization Method (ARM) to calculate propagation parameters. As a result of regularization, the equation of first kind is reduced to the infinite system of the linear algebraic equations of the second kind in the space of L2. This equation can be solved numerically for desired accuracy by using truncation method. The parameters as cut-off wavenumber and cut-off frequency are used in waveguide evolutionary equations of electromagnetic theory in time-domain to illustrate the real-valued TM fields with lossy and lossless media.

Keywords: analytical regularization method, electromagnetic theory evolutionary equations of time-domain, TM Field

Procedia PDF Downloads 471

Authors: Abdi Ammar, Ouazir Youcef, Laissaoui Abdelmalek

Abstract:

In this work, an approach based on transmission lines theory is presented. It is exploited for the calculation of overvoltage created by direct impacts of lightning waves on a guard cable of an overhead high-voltage line. First, we show the theoretical developments leading to the propagation equation, its discretization by finite difference time domain method (FDTD), and the resulting linear algebraic equations, followed by the calculation of the linear parameters of the line. The second step consists of solving the transmission lines system of equations by the FDTD method. This enabled us to determine the spatio-temporal evolution of the induced overvoltage.

Keywords: lightning surge, transient overvoltage, eddy current, FDTD, electromagnetic compatibility, ground wire

Procedia PDF Downloads 58

Authors: Wiem Gadri

Abstract:

This study delves into the intriguing properties of Pisot and Salem numbers within the framework of formal Laurent series over finite fields, a domain where these numbers’ spectral charac-teristics, Λm(β) and lm(β), have yet to be fully explored. Utilizing a methodological approach that combines algebraic number theory with the analysis of power series, we extend the foundational work of Erdos, Joo, and Komornik to this new setting. Our research uncovers bounds for lm(β), revealing how these depend on the degree of the minimal polynomial of β and thus offering a novel characterization of Pisot and Salem formal power series. The findings significantly contribute to our understanding of these numbers, highlighting their distribution and properties in the context of formal power series. This investigation not only bridges number theory with formal power series analysis but also sets the stage for further interdisciplinary research in these areas.

Keywords: Pisot numbers, Salem numbers, formal power series, over a finite field

Procedia PDF Downloads 26

Authors: V. Vargas-Alejo, L. E. Montero-Moguel

Abstract:

Understanding the concept of function has been important in mathematics education for many years. In this study, the models built by a group of five business administration and accounting undergraduate students when carrying out a population growth activity are analyzed. The theoretical framework is the Models and Modeling Perspective. The results show how the students included tables, graphics, and algebraic representations in their models. Using technology was useful to interpret, describe, and predict the situation. The first model, the students built to describe the situation, was linear. After that, they modified and refined their ways of thinking; finally, they created exponential growth. Modeling the activity was useful to deep on mathematical concepts such as covariation, rate of change, and exponential function also to differentiate between linear and exponential growth.

Keywords: covariation reasoning, exponential function, modeling, representations

Procedia PDF Downloads 99

Authors: Sachin Kumar

Abstract:

Fuzzy fractional diffusion equation is widely useful to depict different physical processes arising in physics, biology, and hydrology. The motive of this article is to deal with the fuzzy fractional diffusion equation. We study a mathematical model of fuzzy space-time fractional diffusion equation in which unknown function, coefficients, and initial-boundary conditions are fuzzy numbers. First, we find out a fuzzy operational matrix of Legendre polynomial of Caputo type fuzzy fractional derivative having a non-singular Mittag-Leffler kernel. The main advantages of this method are that it reduces the fuzzy fractional partial differential equation (FFPDE) to a system of fuzzy algebraic equations from which we can find the solution of the problem. The feasibility of our approach is shown by some numerical examples. Hence, our method is suitable to deal with FFPDE and has good accuracy.

Keywords: fractional PDE, fuzzy valued function, diffusion equation, Legendre polynomial, spectral method

Procedia PDF Downloads 165