Search results for: algebraic identities

Authors: Zurina Khairuddin

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The objective of this study is to explore the identities constructed and negotiated by Malaysian students in the UK and Malaysia when they interact in seminars. The study utilised classroom observation, interview and focus group discussion to collect the data. The participants of this study are the first year Malaysian students studying in the UK and Malaysia. The data collected was analysed utilising a combination of Conversation Analysis and framework. This study postulates that Malaysian students in the UK construct and negotiate flexible and different identities depending on the contexts they were in. It also shows that most Malaysian students in the UK and Malaysia are similar in the identities they construct and negotiate. This study suggests implications and recommendations for Malaysian students in the UK and Malaysia, and other stakeholders such as UK and Malaysian academic community.

Keywords: conversation analysis, interaction patterns, Malaysian students, students' identity

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Authors: Nileshkumar Vaishnav, Aditya Tatu

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An algebraic framework for processing graph signals axiomatically designates the graph adjacency matrix as the shift operator. In this setup, we often encounter a problem wherein we know the filtered output and the filter coefficients, and need to find out the input graph signal. Solution to this problem using direct approach requires O(N3) operations, where N is the number of vertices in graph. In this paper, we adapt the spectral graph partitioning method for partitioning of graphs and use it to reduce the computational cost of the filtering problem. We use the example of denoising of the temperature data to illustrate the efficacy of the approach.

Keywords: graph signal processing, graph partitioning, inverse filtering on graphs, algebraic signal processing

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Authors: Ali Oublal

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If any period in history seems appropriate for the study of identity, it is a period of greater mobility; the 21st century. Margaret Wetherill (2009) is thus right while asking who we can be in this age. New biographies of people, their trajectories and new locations appear on the ground; how people do make sense of the self becomes the central question not only for social scientists, and cultural theorists but also for literary critics. New-fangled technologies have resulted in the substitution of stable identities by multiple, fragmented and more uncertain identities. A liquid sense of the self as well as unstable and dynamic forms of life does not fail to inspire novelists who have given robust sense of identities attributed to their characters. The following account comes to snapshot features of identity as being presented by meta-modernist novels: the sympathizer, sisters and a girl is a half formed thing. It is a stance that refutes the claim of Elliott‘s who still adheres the stable state of identity in meta-modernist age while reconciling the two paradigms modernity and postmodernity.

Keywords: identity, metamodernism, fragmantation, stability, literature

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Authors: Chahid K. Ghaddar

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The spreadsheet engine is exploited via a non-conventional mechanism to enable novel worksheet solver functions for computational calculus. The solver functions bypass inherent restrictions on built-in math and user defined functions by taking variable formulas as a new type of argument while retaining purity and recursion properties. The enabling mechanism permits integration of numerical algorithms into worksheet functions for solving virtually any computational problem that can be modelled by formulas and variables. Several examples are presented for computing integrals, derivatives, and systems of deferential-algebraic equations. Incorporation of the worksheet solver functions with the ubiquitous spreadsheet extend the utility of the latter as a powerful tool for computational mathematics.

Keywords: calculus, differential algebraic equations, solvers, spreadsheet

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Authors: Ranis Cheng

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Corporate identity is an asset of a company that is unique, valuable and provides a source of competitive advantage. This research taking a holistic view to explore all dimensions of corporate identity and influence of each on customers’ shopping experience in the fast fashion retail sector in the U.K. Unfortunately these issues have not been explored sufficiently in the extant literature, especially in the area of the identity gap. To date, there is still a lack of empirical research on corporate identity, especially in the retail sector despite the importance of the concept to all organisations. Furthermore, although customer group is one of the essential audiences of organisations and the importance of customers in corporate identity management cannot be ignored, to date limited studies have been conducted in order to understand how customers interpret and perceive corporate identity (perceived identity). Therefore, this research investigates customers’ perceptions of corporate identity in the fast fashion retail sector. 1) To explore customers’ perceptions of fast fashion retailers’ corporate identities; 2) To uncover the important constructs of corporate identity which contribute to the U.K. fast fashion retail sector. 40 semi-structured interviews with the fast fashion consumers have been carried out to identify their perceptions of fast fashion retailers' corporate identities. Secondary research on retailers' websites and press releases have been evaluated to identify their desired corporate identities. The findings have revealed that there are significant gaps between how fast fashion retailers present their identities and how their consumers perceive them. This has posed customers' negative perceptions towards the retailers and their shopping experience as a whole. This study has studied how the corporate identity constructs could be applied in the fashion context and has helped retailers to shed lights on how to minimise the gap between desired and perceived identity.

Keywords: corporate identity, fast fashion, fashion retailing, identity gap

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Authors: Shai Sarussi

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Let S be an integral domain with field of fractions F and let A be an F-algebra. An S-subalgebra R of A is called S-nice if R∩F = S and the localization of R with respect to S \{0} is A. Denoting by W the set of all S-nice subalgebras of A, and defining a notion of open sets on W, one can view W as a T0-Alexandroff space. Thus, the algebraic structure of W can be viewed from the point of view of topology. It is shown that every nonempty open subset of W has a maximal element in it, which is also a maximal element of W. Moreover, a supremum of an irreducible subset of W always exists. As a notable connection with valuation theory, one considers the case in which S is a valuation domain and A is an algebraic field extension of F; if S is indecomposed in A, then W is an irreducible topological space, and W contains a greatest element.

Keywords: integral domains, Alexandroff topology, prime spectrum of a ring, valuation domains

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Authors: Sender Dovchin

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The recent bi/multilingual scholarship shows that the knowledge of ‘translingual English’ is understood in terms of transcultural flows of linguistic, semiotic and cultural resources, where these resources re-transform and are recontextualised to form new specific languages and perform new identities in diverse societal contexts. Drawing on linguistic ethnographic data from contemporary popular music artist in Mongolia, this paper addresses two main critical questions: (1) how new forms of specific languages are created when English becomes translingual English in local contexts; and (2) how new varieties of local identities are constructed and performed when English transforms into translingual English. The paper argues that popular music artists in post-socialist Mongolia should better be understood as active cultural producers, contrary to those dominant discourses which position artists in the periphery as passive recipients of popular culture. Positioned within the creative nature of the global digital resources and the increasing transcultural spread of linguistic and cultural modes and features, these young Mongolian popular music artists produce not only new forms of linguistic practices in the local contexts but also create varied new forms of identities of what it means to be a young Mongolian person in the modern society.

Keywords: multilingualism, translingualism, mongolia, english

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Authors: Nuha Mansour Alhazmi, Magda Mohamed Aly, Fardus M. Bokhari, Ahmed Bahieldin, Sherif Edris

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Out of 30 fungal isolates, 2 new isolates were proven to degrade poly-β-hydroxybutyrate (PHB). Enzyme assay for these isolates indicated the optimal environmental conditions required for depolymerase enzyme to induce the highest level of biopolymer degradation. The two isolates were basically characterized at the morphological level as Trichoderma asperellum (isolate S1), and Aspergillus fumigates (isolate S2) using standard approaches. The aim of the present study was to characterize these two isolates at the molecular level based on the highly diverged rRNA gene(s). Within this gene, two domains of the ribosome large subunit (LSU) namely internal transcribed spacer (ITS) and 26S were utilized in the analysis. The first domain comprises the ITS1/5.8S/ITS2 regions ( > 500 bp), while the second domain comprises the D1/D2/D3 regions ( > 1200 bp). Sanger sequencing was conducted at Macrogen (Inc.) for the two isolates using primers ITS1/ITS4 for the first domain, while primers LROR/LR7 for the second domain. Sizes of the first domain ranged between 594-602 bp for S1 isolate and 581-594 bp for S2 isolate, while those of the second domain ranged between 1228-1238 bp for S1 isolate and 1156-1291 for S2 isolate. BLAST analysis indicated 99% identities of the first domain of S1 isolate with T. asperellum isolates XP22 (ID: KX664456.1), CTCCSJ-G-HB40564 (ID: KY750349.1), CTCCSJ-F-ZY40590 (ID: KY750362.1) and TV (ID: KU341015.1). BLAST of the first domain of S2 isolate indicated 100% identities with A. fumigatus isolate YNCA0338 (ID: KP068684.1) and strain MEF-Cr-6 (ID: KU597198.1), while 99% identities with A. fumigatus isolate CCA101 (ID: KT877346.1) and strain CD1621 (ID: JX092088.1). Large numbers of other T. asperellum and A. fumigatus isolates and strains showed high level of identities with S1 and S2 isolates, respectively, based on the diversity of the first domain. BLAST of the second domain of S1 isolate indicated 99 and 100% identities with only two strains of T. asperellum namely TR 3 (ID: HM466685.1) and G (ID: KF723005.1), respectively. However, other T. species (ex., atroviride, hamatum, deliquescens, harzianum, etc.) also showed high level of identities. BLAST of the second domain of S2 isolate indicated 100% identities with A. fumigatus isolate YNCA0338 (ID: KP068684.1) and strain MEF-Cr-6 (ID: KU597198.1), while 99% identities with A. fumigatus isolate CCA101 (ID: KT877346.1) and strain CD1621 (ID: JX092088.1). Large numbers of other A. fumigatus isolates and strains showed high level of identities with S2 isolate. Overall, the results of molecular characterization based on rRNA diversity for the two isolates of T. asperellum and A. fumigatus matched those obtained by morphological characterization. In addition, ITS domain proved to be more sensitive than 26S domain in diversity profiling of fungi at the species level.

Keywords: Aspergillus fumigates, Trichoderma asperellum, PHB, degradation, BLAST, ITS, 26S, rRNA

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Authors: Dace Aleksandraviča

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The paper presents a theoretical exploration of the emerging field of 21st-century ecolinguistics, which examines the multi-faceted relationship between language, ecology, and identity in our rapidly changing global landscape. In an era characterized by unprecedented linguistic and cultural hybridity, understanding the interplay between language and environment is paramount. This paper delves into the concept of hybrid identities, examining how individuals negotiate their linguistic and cultural affiliations within diverse ecological contexts based on relevant prior contributions in the field. Drawing upon interdisciplinary perspectives from linguistics, environmental studies, and cultural studies, the research investigates the ways in which language shapes and is shaped by environmental realities. The abstract underscores the importance of ecolinguistic approaches in fostering environmental stewardship and promoting sustainable practices. By acknowledging the intrinsic link between language, culture, and ecology, it becomes possible to cultivate a deeper appreciation for linguistic diversity and empower individuals to navigate their hybrid identities in a rapidly changing world. In line with that, the paper hopes to contribute to the growing body of literature on ecolinguistics and offer insights into how language can serve as a tool for both environmental conservation and cultural revitalization.

Keywords: ecolinguistics, hybrid identities, language, globalization

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Authors: Nur Azlina Mohamed Mokmin, Mona Masood

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Guided by the theory of learning style, this study is based on the development of a multimedia learning application for students with mastery learning style. The learning material was developed by applying a graduated difficulty learning strategy. Algebraic fraction was chosen as the learning topic for this application. The effectiveness of this application in helping students learn is measured by giving a pre- and post-test. The result shows that students who learn using the learning material that matches their preferred learning style performs better than the students with a non-personalized learning material.

Keywords: algebraic fractions, graduated difficulty, mastery learning style, multimedia

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Authors: Lorna Goulden, Kai M. Hermsen, Jari Isohanni, Mirko Ross, Jef Vanbockryck

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This article introduces disposable identities, with reference use cases and explores possible technical approaches. The proposed approach, when fully developed as an open-source toolkit, enables developers of mobile or web apps to employ a self-sovereign identity and data privacy framework, in order to rebuild trust in digital services by providing greater transparency, decentralized control, and GDPR compliance. With a user interface for the management of self-sovereign identity, digital authorizations, and associated data-driven transactions, the advantage of Disposable Identities is that they may also contain verifiable data such as the owner’s photograph, official or even biometric identifiers for more proactive prevention of identity abuse. These Disposable Identities designed for decentralized privacy management can also be time, purpose and context-bound through a secure digital contract; with verification functionalities based on tamper-proof technology.

Keywords: dentity, trust, self-sovereign, disposable identity, privacy toolkit, decentralised identity, verifiable credential, cybersecurity, data driven business, PETs, GDPRdentity, trust, self-sovereign, disposable identity, privacy toolkit, decentralised identity, verifiable credential, cybersecurity, data driven business, PETs, GDPRI

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Authors: Rakesh Bhatia

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Students often face significant challenges in understanding and applying trigonometric identities, primarily due to the overwhelming need to memorize numerous formulas. This often leads to confusion, frustration, and difficulty in effectively using these formulas across diverse types of problems. Traditional methods of learning trigonometry demand considerable time and effort, which can further hinder comprehension and application. Vedic Mathematics offers an innovative and simplified approach to overcoming these challenges. This paper explores how Baudhayan Numbers, can be used to derive trigonometric identities and simplify calculations related to height and distance. Unlike conventional approaches, this method minimizes the need for extensive paper-based calculations, promoting a conceptual understanding. Using Vedic Mathematics Sutras such as Anurupyena and Vilokanam, this approach enables the derivation of over 100 trigonometric identities through a single, unified approach. The simplicity and efficiency of this technique not only make learning trigonometry more accessible but also foster computational thinking. Beyond academics, the practical applications of this method extend to engineering fields such as bridge design and construction, where precise trigonometric calculations are critical. This exploration underscores the potential of Vedic Mathematics to revolutionize the learning and application of trigonometry by offering a streamlined, intuitive, and versatile framework.

Keywords: baudhayan numbers, anurupyena, vilokanam, sutras

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Authors: Shouji Yujiro, Memei Dukovic, Mist Yakubu

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Fields are important objects of study in algebra since they provide a useful generalization of many number systems, such as the rational numbers, real numbers, and complex numbers. In particular, the usual rules of associativity, commutativity and distributivity hold. Fields also appear in many other areas of mathematics; see the examples below. When abstract algebra was first being developed, the definition of a field usually did not include commutativity of multiplication, and what we today call a field would have been called either a commutative field or a rational domain. In contemporary usage, a field is always commutative. A structure which satisfies all the properties of a field except possibly for commutativity, is today called a division ring ordivision algebra or sometimes a skew field. Also non-commutative field is still widely used. In French, fields are called corps (literally, body), generally regardless of their commutativity. When necessary, a (commutative) field is called corps commutative and a skew field-corps gauche. The German word for body is Körper and this word is used to denote fields; hence the use of the blackboard bold to denote a field. The concept of fields was first (implicitly) used to prove that there is no general formula expressing in terms of radicals the roots of a polynomial with rational coefficients of degree 5 or higher. An extension of a field k is just a field K containing k as a subfield. One distinguishes between extensions having various qualities. For example, an extension K of a field k is called algebraic, if every element of K is a root of some polynomial with coefficients in k. Otherwise, the extension is called transcendental. The aim of Galois Theory is the study of algebraic extensions of a field. Given a field k, various kinds of closures of k may be introduced. For example, the algebraic closure, the separable closure, the cyclic closure et cetera. The idea is always the same: If P is a property of fields, then a P-closure of k is a field K containing k, having property, and which is minimal in the sense that no proper subfield of K that contains k has property P. For example if we take P (K) to be the property ‘every non-constant polynomial f in K[t] has a root in K’, then a P-closure of k is just an algebraic closure of k. In general, if P-closures exist for some property P and field k, they are all isomorphic. However, there is in general no preferable isomorphism between two closures.

Keywords: field theory, mechanic maths, supertech, rolltech

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Authors: Adel Mohsen

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A direct method based on the good Broyden's updates for evaluating the inverse of a nonsingular square matrix of full rank and solving related system of linear algebraic equations is studied. For a matrix A of order n whose LU-decomposition is A = LU, the multiplication count is O (n3). This includes the evaluation of the LU-decompositions of the inverse, the lower triangular decomposition of A as well as a “reduced matrix inverse”. If an explicit value of the inverse is not needed the order reduces to O (n3/2) to compute to compute inv(U) and the reduced inverse. For a symmetric matrix only O (n3/3) operations are required to compute inv(L) and the reduced inverse. An example is presented to demonstrate the capability of using the reduced matrix inverse in treating ill-conditioned systems. Besides the simplicity of Broyden's update, the method provides a mean to exploit the possible sparsity in the matrix and to derive a suitable preconditioner.

Keywords: Broyden's updates, matrix inverse, inverse factorization, solution of linear algebraic equations, ill-conditioned matrices, preconditioning

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Authors: Badriah Khaleel

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Language acquisition is one of the most striking aspects of human development. It is a startling feat, which has engrossed the attention of linguists for generations. The present study will explore the hidden identities and attributes of nonverbal gestures. The current research will reflect the significant role of body language as not mere body gestures or facial expressions but as the first language of humanity.

Keywords: a startling feat, a new horizon for linguists to rethink, explore the hidden identities and attributes of non-verbal gestures, English as a third language, the first language of humanity

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Authors: Z. N. Huwaë, E.M. W. Tong, Y. H. M. See

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In the present study, the researchers examined whether people from collectivistic cultures perceive a more group identity threat following social exclusion, whereas a more personal identity threat would be the case for those from individualistic cultures. In doing so, they investigated whether threatened identities depend on whether people are excluded by ingroup members (same ethnic background) or outgroup members (another ethnic background), as exclusion studies have shown mixed results when it comes to being excluded by ingroup versus outgroup members. For this purpose, students in Singapore and in the Netherlands participated in an online ball-tossing game (Cyberball) where they were excluded or included by other players with either the same or other ethnicity. Tentative results showed that both Singaporean and Dutch participants reported a more threat to their group identity than to their personal identity following exclusion and this did not depend on who excluded them. These tentative findings suggest that threatened identities following exclusion may not depend on cultural factors or on the source of exclusion.

Keywords: cultures, exclusion, experiment, group membership, identities

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Authors: Sigal Barkai

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'Ironic Historiography' is a hybrid notion combining criticism of historical narratives concerning the Israeli state with ironic artistic expression. The paper will deal with questions of identities of native Israeli visual artists who chose to live out of the country, or to move back and forth to and from it. It will examine the ways these wanderings are reflected in their work. The paper discusses the work of 4 contemporary artists who produce artworks in diverse techniques and media, such as video, performance and installation art. Yael Bartana, Erez Israeli and Tamir Zadok are artists who constantly deal with Israeli nationality and history in their artwork, using ironic components. In comparison, the paper will review the works of Mika Rottenberg, who is now a New York based artist. She is concerned with global social issues and neglected specific national identity altogether. All of them use visual irony as a means of reflecting and criticizing society. The analysis was done in awareness of the life stories of the artists, in an attempt to trace the ways they establish their identities through their art. It was pre-supposed that these identities will be shaped in the in-between space of being an Israeli citizen and a citizen of the world. The study asks how ironic expression appears in their work, what kind of irony do they use and in what ways does it serves them. The methodology combined visual analysis, interviews with the artists, and analyzation of secondary discourses in the media. As theoretical background various fields of knowledge were used, such as literature and language studies, Sociology, and Visual Culture studies. The findings point out that visual and artistic irony has many different goals in the use of historiographic fiction. It can bind an artist to his homeland and native society, or it can help her to detach. It helps healing breaches in the in-between space, or it can be used as a means to completely detach from any identification with a native origin.

Keywords: visual art, irony, identities, Israel

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Authors: Ih-Ching Hsu

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Inspired by the so called Jacobi Identity (x y) z + (y z) x + (z x) y = 0, the following class of functional equations EQ I: F [F (x, y), z] + F [F (y, z), x] + F [F (z, x), y] = 0 is proposed, researched and generalized. Research methodologies begin with classical methods for functional equations, then evolve into discovering of any implicit algebraic structures. One of this paper’s major findings is that EQ I, under two additional conditions F (x, x) = 0 and F (x, y) + F (y, x) = 0, proves to be a fundamental functional equation for Lie Algebras. Existence of non-trivial solutions for EQ I can be proven by defining F (p, q) = [p q] = pq –qp, where p and q are quaternions, and pq is the quaternion product of p and q. EQ I can be generalized to the following class of functional equations EQ II: F [G (x, y), z] + F [G (y, z), x] + F [G (z, x), y] = 0. Concluding Statement: With a major finding proven, and non-trivial solutions derived, this research paper illustrates and provides a new functional equation scheme for studies in two major areas: (1) What underlying algebraic structures can be defined and/or derived from EQ I or EQ II? (2) What conditions can be imposed so that conditional general solutions to EQ I and EQ II can be found, investigated and applied?

Keywords: fundamental functional equation, generalized functional equations, Lie algebras, quaternions

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Authors: Martins Olatunbosun Babatunde, Muhammed Bashir Muazu, Emmanuel Adewale Adedokun

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This paper presents the development of a double-loop trajectory-tracking controller for the ball and plate system (BPS) using the Normalized Right Coprime Factorization (NRCF) scheme.The Linear Algebraic (LA) method is used to design the inner loop required to stabilize the ball, while H-infinity NRCF method, that involved the lead-lag compensator design approach, is used to develop the outer loop that controls the plate. Simulation results show that the plate was stabilized at 0.2989 seconds and the ball was able to settle after 0.9646 seconds, with a trajectory tracking error of 0.0036. This shows that the controller has good adaptability and robustness.

Keywords: ball and plate system, normalized right coprime factorization, linear algebraic method, compensator, controller, tracking.

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Authors: Brando Vagenende, Marie-Anne Guerry

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

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

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Authors: Maryam Khosronejad

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In social media, differences between individuals become salient as they become a member of different groups with particular social and cultural practices and get engaged in various conversations. The influence of the presence of social media on the promotion of self-expression and polyphonic dialogue is an understudied area and is, therefore, the focus of this paper. This exploration aims to understand the formation of online identities as an ongoing process of orchestrating polyphonic dialogue and responding to available positions. In addition, applying the thematic analysis, it gives examples of how discursive transactions facilitate this process. The implications for the use of social media in education will be discussed based on the findings.

Keywords: online identity, polyphonic dialogue, self expression, social media

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Authors: Victorine Mbong Shu

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Very little research exists on family sex and sexuality communication and identity formation and how communication is helping adolescents in forming their sexual identities in South Africa. This study is designed to explore the impact of sexual communication in African families and the dynamics that influence the openness or closedness of adolescent sexual identities. The primary objectives of this study are threefold; to understand how sexuality communication in African families impacts the closedness and/or openness of adolescent African identities; to explore the nature of African children's sexuality given the status of their families’ communications on sex; to describe how parental or adult sexual knowledge, attitudes, values of sex, etc. are translated to children in African families, if at all. This study seeks answers to challenges faced by African parents and caregivers of adolescent children in South Africa regarding sex-sexuality communication and their shifting identities in different spaces. Its outcome seeks to empower these families on how to continue to effectively communicate sex and sexuality at different stages and circumstances. Two sets of people are interviewed separately in order to explore issues of familial communication and how to understand how together with religion and culture, adolescents are socialised to form the social and gender identities that they take to adulthood. They were parents of adolescents and young adult children who spoke in retrospect on when they were adolescents. The results of this study will fill knowledge gaps considering the chosen theory of communication that gives clarity to the topic of sex and sexuality communication in African families in South Africa and the dynamics of privacy that influence identity formation. A subset of the 40 conversations, 5 female parents, 5 male parents, 5 young female adults, and 5 male young adults, was used for this analysis. The preliminary results revealed five emergent themes informed by research questions and the theoretical framework of this study: Open communication, Discomfort discussing sex and sexuality, The importance of sex communication to African parents, Factors influencing African families’ communication about sex and sexuality and Privacy and boundaries.

Keywords: sex, sexuality, communication, African families, adolescents

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Authors: Alexander N. Savostyanov, Tatiana A. Dolgorukova, Elena A. Esipenko, Mikhail S. Zaleshin, Margherita Malanchini, Anna V. Budakova, Alexander E. Saprygin, Tatiana A. Golovko, Yulia V. Kovas

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EEG correlates of mathematical and trait anxiety level were studied in 52 healthy Russian-speakers during execution of error-recognition tasks with lexical, arithmetic and algebraic conditions. Event-related spectral perturbations were used as a measure of brain activity. The ERSP plots revealed alpha/beta desynchronizations within a 500-3000 ms interval after task onset and slow-wave synchronization within an interval of 150-350 ms. Amplitudes of these intervals reflected the accuracy of error recognition, and were differently associated with the three conditions. The correlates of anxiety were found in theta (4-8 Hz) and beta2 (16-20 Hz) frequency bands. In theta band the effects of mathematical anxiety were stronger expressed in lexical, than in arithmetic and algebraic condition. The mathematical anxiety effects in theta band were associated with differences between anterior and posterior cortical areas, whereas the effects of trait anxiety were associated with inter-hemispherical differences. In beta1 and beta2 bands effects of trait and mathematical anxiety were directed oppositely. The trait anxiety was associated with increase of amplitude of desynchronization, whereas the mathematical anxiety was associated with decrease of this amplitude. The effect of mathematical anxiety in beta2 band was insignificant for lexical condition but was the strongest in algebraic condition. EEG correlates of anxiety in theta band could be interpreted as indexes of task emotionality, whereas the reaction in beta2 band is related to tension of intellectual resources.

Keywords: EEG, brain activity, lexical and numerical error-recognition tasks, mathematical and trait anxiety

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Authors: K. S. Kan

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The main purpose of this paper is to deepen the current understanding of how a Teaching English as a Second Language (TESL) teacher trainee self is constructed. The present aim of Malaysian TESL teacher education is to train teacher trainees with established English Language Teaching methodologies of the four main language skills (listening, reading, writing and speaking) apart from building them up holistically. Therefore, it is crucial to learn more of the ways on how these teacher trainees construct their professional selves during their undergraduate years. The participants come from a class of 17 Semester 6 TESL students who had undergone a 3-month’s practicum practice during their fifth semester and going for their final 3 month’s practicum period from July 2018 onwards. Findings from a survey, interviews with the participants and lecturers, documentations such as the participants’ practicum record-books would be consolidated with the supervisory notes and comments. The findings suggest that these teacher trainees negotiate their identities and emotions that react with the socio-cultural factors. Periodical reflections on the teacher trainees’ practicum practices influence transformation.The findings will be further aligned to the courses that these teacher trainees have to take in order to equip them as future second language practitioners. It is hoped that the findings will be able to fill the gap from the teacher trainees’ perspectives on identity construction dealing. This study is much more significant now, in view of the new English Language Curriculum for Primary School (widely known as KSSR, its Malay acronym) which had been introduced and implemented in Malaysian primary schools recently. This research will benefit second language practitioners who is in the language education field, as well as, TESL undergraduates, on the knowledge of how teacher trainees respond to and negotiate their professional teaching identities as future second language educators.

Keywords: construction of selves, professional identities, second language, TEST teacher trainees

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Authors: Kamel Al-Khaled

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A comparative study of the Sinc-Galerkin and Sinc-Collocation methods for solving the Kuramoto-Sivashinsky equation is given. Both approaches depend on using Sinc basis functions. Firstly, a numerical scheme using Sinc-Galerkin method is developed to approximate the solution of Kuramoto-Sivashinsky equation. Sinc approximations to both derivatives and indefinite integrals reduces the solution to an explicit system of algebraic equations. The error in the solution is shown to converge to the exact solution at an exponential. The convergence proof of the solution for the discrete system is given using fixed-point iteration. Secondly, a combination of a Crank-Nicolson formula in the time direction, with the Sinc-collocation in the space direction is presented, where the derivatives in the space variable are replaced by the necessary matrices to produce a system of algebraic equations. The methods are tested on two examples. The demonstrated results show that both of the presented methods more or less have the same accuracy.

Keywords: Sinc-Collocation, nonlinear PDEs, numerical methods, fixed-point

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Authors: C. Morris, W. Ashall, K. Telling, L. Kadiwal, J. Kirby, S. Mwale

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This paper addresses experiences of liminality in the early career phase of academia. Liminality is understood as a process moving from one state (in this case of being non-academic) to another (of being academic), caught between or moving in and out these modes of being. Drawing on life-history methods, a group of academics jointly reflected on experiences of the early career. Primarily focused on the theme of imposter syndrome at this career stage, the authors identified feelings of non-belonging and lack of fit with the academy, tracing the biographical, political, and affective dimensions of such responses. Uncertainty around status within seemingly impermeable hierarchies and barriers to progression in combination with our intersectional positionings shaped by sexism, racism, ableism, and classism, led to experiences of liminality, having not yet fully achieved the desired and potentially illusionary status of established academic. Findings are contextualised within the authors’ contrasting disciplinary, departmental, and institutional settings against a backdrop of neoliberalised academia. The paper thereby contributes nuanced understandings of early-career academic identities at a time when this career stage is ever more ill-defined, extended, precarious and uncertain, exposing ongoing impacts of inequities in the contemporary academic milieu.

Keywords: early career, identities, intersectionality, liminality

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Authors: Sender Dovchin, Alastair Pennycook

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This paper looks at the relationship between online space, urban space and digital literacies. The everyday digital literacy practices of Facebook users (with a particular focus on young urban Mongolians) can be understood as ‘metrolingual’ because of the varied ways in which linguistic and cultural resources, spatial repertoires, and online activities are bound together to make meaning. Whereas the initial development of the term metrolingualism was dependent on a notion of physical urban space, we here argue that the digital practices of these Facebook users perform a range of social and cultural identities (sexual, ethnic, and class-based identities) that are both parts of but also adjacent to the metrolingual fabric.

Keywords: metrolingualism, digital literacy, Mongolia, Facebook

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Authors: Timothy Mossman

Abstract:

The number of adolescent children accompanying their immigrant parents to Canada has steadily increased since the 1990s. Much of the applied linguistics literature on these so-called ‘Generation 1.5’ youth has focused on their deficiencies as academic writers in US Rhetoric and Composition and ESL contexts in higher education and the stigma of ESL in US K-12 contexts. However, the literature on Generation 1.5 students and identity in Canadian higher education is limited. This qualitative study investigates the processes of identity construction of three Generation 1.5 students studying at a university in Metro Vancouver to find out what types of identities and representations of self and other they make relevant, the meanings they attribute to their identities, and what motivates them to construct these identities. The study analyzes the accounts and experiences of the participants in interviews, focus groups, and texts and as ‘culture-in-action,’ positing that they constructed identities as social categories associated with the languages and social practices of their countries of birth, in liminal spaces among a continuum between Canada and their countries of birth, and a spectrum of related cultural representations. Ideas and beliefs associated with broader ‘macro’ social structures in Canadian society related to language, culture, legitimacy, immigration, power, distinction, and racism were shown to be transcended in and through their representations of themselves and others. Data suggest that moving to Canada caused participants to experience discontinuities between their cultures, languages, and social practices, and in some cases a conflicting sense of self. The study brings implications for finding ways to understand the complexity of immigrant students, avoid reifying and generalizing about them, and not see them as stuck-in-between or lacking.

Keywords: culture-in-action, generation 1.5, identity, membership categorization analysis

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Authors: Jay-R M. Mendoza

Abstract:

In almost all mathematics classrooms, students demonstrated discrepancies in their knowledge, skills, and understanding. OECD reports predicted that this continued to aggravate as not all teachers were sufficiently trained to handle this concentration. In response, the paper explored the potential of reSolve’s professional learning module 3 (PLM3) as an affordable and accessible professional development (PD) resource. Participants’ hands-on experience and exposure to PLM3 were audio recorded. After it was transcribed and examined and their work samples were analysed, there were four issues emerged: (1) criticality of conducting preliminary data collections and increasing the validity of inferences about what students can and cannot do by addressing the probabilistic nature of their performance; (2) criticality of the conclusion: a > b and/or (a-b) ∈ Z⁺ among students’ algebraic reasoning; (3) enabling and extending prompts provided by reSolve were found useful; and (4) dynamic adaptation of reSolve PLM3 through developing transferable skills and collaboration among teachers. PLM3 provided valuable insights on assessment, teaching, and planning to include all students in mathematics experiences.

Keywords: algebraic reasoning, building teacher capacity, including all students in mathematics experiences, professional development

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Authors: Dane B. Norris

Abstract:

This paper offers a reflective and reflexive examination of the lived reality of a group of young white, working-class males engaging in secondary education in England at a time when this population is widely recognised as the lowest attaining ethnic group within British schools. The focus of the paper is an exploration of the development of identities and aspirations alongside contemporary demographic shifts in the British population within the intersection of neoliberal education policies and the emerging ideological conflict between identity conservatism and liberalism. The construction and performance of intersecting social-class, gender, ethnic and national identities are considered, as well as the process through which socially constructed narratives inform identities and aspirations. Evocative autoethnography is then employed to offer reflections on working-class habitus and, in particular, classed and gendered codes that underpin expectations of manhood in post-industrial culture within an education system which seemingly requires the abandonment of aspects of a working-class background, affiliation, and identity. Findings from the study identify the emergence of a culture of hyper-individualisation amongst white, working-class males in schools and a belief in the meritocratic ideologies of the New Right. In particular, the breakdown of the social contract, including notions of political and civic responsibility, coupled with the symbolic violence perpetrated against working-class culture and solidarity in British schools, have all informed the construction of working-class masculinity which values the individual entrepreneur over the collective and depoliticizes students to an extent where a focus on the spectacle and performance of success has replaced individual and collective investment in community.

Keywords: education, identity, masculinity, neoliberalism, working-class

Procedia PDF Downloads 102