Search results for: algebraic identities

Authors: Papazafeiropoulou Olga

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The purpose of this paper focuses on exploring the emergence of Greek tragedy on the American stage until the first half of the 20th century through the intellectual processes and contributions of Greek, Italian and Jewish community theatre. Drawing on a wide range of sources, we trace Greek tragedy on the American stage, exploring the intricate processes of community’s theatre identities. The announcement aims to analyze the distinct yet related efforts of first Americans to intersect with Greek tragedy, searching simultaneously for the identities of immigrants. Ultimately, ancient drama became a vehicle not only for great developments in the American theater. In 1903, the Greek actor Dionysios Taboularis arrived in America, while the immigrant stream from Greece to America brought his artistic heritage, presenting in “Hall House” of Chicago the play Return. In 1906, in New York, an amateur group presented the play The Alosi of Messolonghi, and the next year in Chicago, an attempt was noted with a dramatic romance. In the decade 1907-1917, Nikolaos Matsoukas founded and directed the “Arbe theater”, while Petros Kotopoulis formed a troupe. In 1930, one of the greatest Greek theatrical events was the arrival of Marika’s Kotopoulis. Also, members of Vrysoula’s Pantopoulos formed the “Athenian Operetta”, with a positive influence on Greek American theatre. Italian immigrant community, located in tenement “Little Italies” throughout the city, and soon amateur theatrical clubs evolved. The earliest was the “Circolo Filodrammatico Italo-Americano” in 1880. Fausto Malzone’s artistic direction paved the way for the professional Italian immigrant theatre. Immigrant audiences heard the plays of their homeland, representing a major transition for this ethnic theatre. In 1900, the community had produced the major forces that created the professional theatre. By l905, the Italian American theatre had become firmly rooted in its professional phase. Yiddish Theater was both an import and a home-grown phenomenon. In 1878, The Sorceress was brought to America by Boris Thomashefsky. Between 1890 and 1940, many Yiddish theater companies appeared in America, presenting adaptations of classical plays. Αmerica’s people's first encounter with ancient texts was mostly academic. The tracing of tragedy as a form and concept that follows the evolutionary course of domestic social, aesthetic, and political ferments according to the international trends and currents draws conclusions about the early Greek, Italian, and Jewish immigrant’s theatre in relationship to the American scene until the first half of 20th century. Presumably, community theater acquired identity by intersecting with the spiritual reception of tragedy in America.

Keywords: American, community, Greek, Italian, identities, intersection, Jewish, theatre, tragedy

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Authors: Anna Lytvynova

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This essay presents labour as a performatively national phenomenon from a cultural perspective. Considering Engels’ proposition of labour as the epicentre of development of social structures and communities, it theorizes the formation and sustainment of group identities through labour identities. Taking labour in the cultural sector as the starting point case study, the essay further enunciates such labour and labour identity as a form of engaged citizenship. In doing so, this piece hopes to arrive at a potential contemporary understanding of labour as having a central and dynamic role in cultural organization and citizenship. A parallel goal is to de-link sociological models of cultural labor from narratives of art and culture as something that stands separate from the 'real world' and the economy and exists in precarity. Combining discourse from cultural sociology, performance studies, and economics and grounding it in historical archive, the essay makes a primarily discursive theoretical contribution. Taking North American theatre organizations as the exemplifying starting point, this project positions cultural workers not solely as workers in a professional industry but as active citizen-subjects who are deeply involved in their society’s democratic processes. The resulting discourse can be used to shape more effective labour policies, as well as help art and cultural organizations find more effective organizational structures to engage the arts in the economic, political, and social spheres.

Keywords: arts labour, cultural sociology, national identity, performativity

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Authors: Davit Shahnazaryan, Diogo Gomes, Mher Safaryan

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Many symbolic computations and manipulations required in the analysis of partial differential equations (PDE) or systems of PDEs are tedious and error-prone. These computations arise when determining conservation laws, entropies or integral identities, which are essential tools for the study of PDEs. Here, we discuss a new Mathematica package for the symbolic analysis of PDEs that automate multiple tasks, saving time and effort. Methodologies: During the research, we have used concepts of linear algebra and partial differential equations. We have been working on creating algorithms based on theoretical mathematics to find results mentioned below. Major Findings: Our package provides the following functionalities; finding symmetry group of different PDE systems, generation of polynomials invariant with respect to different symmetry groups; simplification of integral quantities by integration by parts and null Lagrangian cleaning, computing general forms of expressions by integration by parts; finding equivalent forms of an integral expression that are simpler or more symmetric form; determining necessary and sufficient conditions on the coefficients for the positivity of a given symbolic expression. Conclusion: Using this package, we can simplify integral identities, find conserved and dissipated quantities of time-dependent PDE or system of PDEs. Some examples in the theory of mean-field games and semiconductor equations are discussed.

Keywords: partial differential equations, symbolic computation, conserved and dissipated quantities, mathematica

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Authors: Bilha Paryente, Rivi Frei Landau

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Autoethnography - a combination of autobiography and ethnography - focuses on the intersection of personal experiences and the culture in which they take place and is considered a viable method for exploring human experiences. The Russo-Ukrainian war has resulted in millions of forcibly displaced asylum-seeking refugees facing ambiguous loss. Whereas much is known about refugees' support needs, little is known about the needs and experiences of the humanitarian delegation members (HDM) who assist them. Through a debrief-based co-autoethnographic account of a female HDM who supported Ukrainian refugee mothers and children on the Polish borders, we explored the lived experiences involved in such a mission. Specifically, we conducted a transnational dyadic autoethnography debrief-based co-autoethnography which included both verbal and photo-based debriefing (8 two-hour sessions) alongside a reflexive (10-day) field diary analysis. Content analysis revealed cognitive dilemmas, emotional struggles, and practical adaptations occurring within the HDM's three identity-related domains: personal, professional (psychologist), and ethnic. The methodology presented and demonstrated in this paper enhances our theoretical understanding of the challenges faced by HDMs and may contribute to better future design of HDM training. Practically, the findings of the current study suggest the need for a three-stage accompaniment for HDMs relating to their personal, professional, and ethnic identities and considering their cognitive, emotional, and adaptive aspects. First, before leaving, HDMs should be briefed on personal and professional aspects of their experiences and ways of coping with them, as well as ethnic and religious affiliation issues. Second, while volunteering every evening their dilemmas, emotional struggles, and ways of adapting should be addressed for the three layers of identities. And finally, shortly after their return, there should be a final meeting to discuss all aspects of their identities and layers of personality. In this way, HDMs can become more effective in the important mission they fulfill. We hope that future HDMs and the bodies that send them on humanitarian missions of paramount importance will adopt these recommendations and generate proactive insights for members of future delegations.

Keywords: autoethnography, refugees, humanitarian delegation, ambiguous loss, Russo-Ukraine War, parenting

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Authors: Antonio Aguilar Aguilar, Eliezer Braun Guitler

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Using a previously developed procedure and with the aid of algebraic software, a two-dimensional generalized Ising model with a 4×2 unitary cell (UC), we obtain a Kagome Lattice with twelve different spin-spin values of interaction, in order to determine the partition function per spin L(T). From the partition function we can study the magnetic behavior of the system. Because of the competition phenomenon between spins, a very complex behavior among them in a variety of magnetic states can be observed.

Keywords: correlations, Ising, Kagome, exact functions

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Authors: Hasan Sungur, Evrim Baran, Benjamin Ahn, Aliye Karabulut Ilgu, Chris Rehmann, Cassandra Rutherford

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Engineering identity contributes to the professional and educational persistence of women engineers. A crucial factor contributing to the development of the engineering identity is recognition. Those without adequate recognition often do not succeed in positively building their identities. This research draws on Honneth’s recognition theory to identify factors impacting women civil engineers’ feelings of recognition as civil engineers. A survey was composed and distributed to 330 female alumni who graduated from the Department of Civil, Construction, and Environmental Engineering at Iowa State University in the last ten years. The survey items include demographics, perceptions of the identity of civil engineering, and factors that influence the recognition of civil engineering identities, such as views of society and family. Descriptive analysis of the survey responses revealed that the perceptions of civil engineering varied widely. Participants’ definitions of civil engineering included the terms: construction, design, and infrastructure. Almost half of the participants reported that the major reason to study civil engineering was their interest in the subject matter, and most reported that they were proud to be civil engineers. Many study participants reported that their parents see them as civil engineers. Treatment of institutions and the workplace were also considered as having a significant impact on the recognition of women civil engineers. Almost half of the participants reported that they felt isolated or ignored at work because of their gender. This research emphasizes the importance of recognition for the development of the civil engineering identity of women

Keywords: civil engineering, gender, identity, recognition

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Authors: Yuliya Kovalenko

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Given the social nature of people, it is interesting to explore strategies of responding to psycho-traumatic situations in individuals of different ethnic and religious identity. This would allow to substantially expand the idea of human behavior in general, and coping behavior, in particular. This paper investigated the weighted impact of ethnic and religious identities on the patterns of coping behavior. This cross-cultural research empirically revealed intergroup differences in coping strategies and behavior in the samples of young students and teachers of different ethnic identities (Egyptians N=216 and Ukrainians N=109) and different religious identities (Egyptian Muslims N=147 and Christians, including Egyptian Christians N=68 and Ukrainian Christians N = 109). The empirical data were obtained using the questionnaires SACS and COPE. Statistical analysis and interpretation of the results were performed with IBM SPSS-23.0. It was found that, compared to the religious identity, the ethnic identity of the subjects appeared more predictive of coping behavior. It was shown that the constant exchange of information and the unity of biological and social contributed to a more homogeneous picture in the society where Christians and Muslims were integrated into a single cultural space. It was concluded that depending on their ethnic identity, individuals would form a specific hierarchy of coping strategies resulting in a specific pattern of coping with certain stressors. The Egyptian subjects revealed the following pattern of coping with various kinds of academic stress: 'seeking social support', 'problem solving', 'adapting', 'seeking information'. The coping pattern demonstrated by the Ukrainian subjects could be presented as 'seeking information', 'adapting', 'seeking social support', 'problem solving'. There was a tendency in the group of Egyptians to engage in more collectivist coping strategies (with the predominant coping strategy 'religious coping'), in contrast to the Ukrainians who displayed more individualistic coping strategies (with 'planning' and 'active coping' as the mostly used coping strategies). At the same time, it was obvious that Ukrainians should not be unambiguously attributed to the individualistic coping behavior due to their reliance on 'seeking social support' and 'social contact'. The final conclusion was also drawn from the peculiarities of developing religious identity, including religiosity, in Egyptians (formal religious education of both Muslims and Christians) and Ukrainians (more spontaneous process): Egyptians seem to learn to resort to the religious coping, which could be an indication that, in principle, it is possible and necessary to train individuals in desirable coping behavior.

Keywords: coping behavior, cross-cultural research, ethnic and religious identity, hierarchical pattern of coping

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Authors: Hefin Gwilym

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This paper will explore the political biographies of social workers in a neoliberal era. The findings are based on a research project for a successfully completed professional doctorate in social work. The methodology deployed for the research is a combination of constructivist grounded theory and biographical inquiry. The paper will present findings from 14 biographical interviews and will focus on one case study of a participant whose life story is richly informed by political social work. The 14 participants reflect different genders, ethnic identities, cultural and linguistic identities, age and length of social work careers. The participants also reflect different forms of political engagement, such as, as political activists and members of political parties, including parliamentarians. The findings demonstrate how deeply ingrained the social work identity is amongst the participants and how their political identity has remained strongly social democratic in nature despite the many changes in the social work profession since the rise of neoliberalism as a thought collective and policy package. The individual case study will explore the early roots of political identity in the childhood and nurturing years and the interface with subsequent social work and political careers. It will also explore the evolution of the participant’s political identity in the social work career. The case study will also present findings on how the participant has contributed to the political field with policy involvement and initiatives. The presentation will conclude with a discussion on how this particular group of social workers can best contribute to the future direction of the social work profession.

Keywords: political social work, political biographies, neoliberal, grounded theory

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Authors: Tabbye Chavous, Felecia Webb, Bridget Richardson, Gloryvee Fonseca-Bolorin, Seanna Leath, Robert Sellers

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There has been recent renewed attention to Black students’ experiences at predominantly White U.S. universities (PWIs), e.g., the #BBUM (“Being Black at the University of Michigan”), “I too am Harvard” social media campaigns, and subsequent student protest activities nationwide. These campaigns illuminate how many minority students encounter challenges to their racial/ethnic identities as they enter PWI contexts. Students routinely report experiences such as being ignored or treated as a token in classes, receiving messages of low academic expectations by faculty and peers, being questioned about their academic qualifications or belonging, being excluded from academic and social activities, and being racially profiled and harassed in the broader campus community due to race. Researchers have linked such racial marginalization and stigma experiences to student motivation and achievement. One potential mechanism is through the impact of college experiences on students’ identities, given the relevance of the college context for students’ personal identity development, including personal beliefs systems around social identities salient in this context. However, little research examines the impact of the college context on Black students’ racial identities. This study examined change in Black college students’ (N=329) racial identity beliefs over the freshman year at three predominantly White U.S. universities. Using cluster analyses, we identified profile groups reflecting different patterns of stability and change in students’ racial centrality (importance of race to overall self-concept), private regard (personal group affect/group pride), and public regard (perceptions of societal views of Blacks) from beginning of year (Time 1) to end of year (Time 2). Multinomial logit regression analyses indicated that the racial identity change clusters were predicted by pre-college background (racial composition of high school and neighborhood), as well as college-based experiences (racial discrimination, interracial friendships, and perceived campus racial climate). In particular, experiencing campus racial discrimination related to high, stable centrality, and decreases in private regard and public regard. Perceiving racial climates norms of institutional support for intergroup interactions on campus related to maintaining low and decreasing in private and public regard. Multivariate Analyses of Variance results showed change cluster effects on achievement motivation outcomes at the end of students’ academic year. Having high, stable centrality and high private regard related to more positive outcomes overall (academic competence, positive academic affect, academic curiosity and persistence). Students decreasing in private regard and public regard were particularly vulnerable to negative motivation outcomes. Findings support scholarship indicating both stability in racial identity beliefs and the importance of critical context transitions in racial identity development and adjustment outcomes among emerging adults. Findings also are consistent with research suggesting promotive effects of a strong, positive racial identity on student motivation, as well as research linking awareness of racial stigma to decreased academic engagement.

Keywords: diversity, motivation, learning, ethnic minority achievement, higher education

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Authors: Tony Chapman-Wilson

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Applied theatre is not an ultimate vehicle to create social change; but is more an opportunity of hope that the production material might affect this. Theatre-makers are able to deconstruct socially and politically challenging themes to encourage their audience to witness lived experiences as they consider themes of concern and injustice. This allows writers to (re) present the lived experiences of trans people, and for social injustice, continued transphobia, and lack of equity to be presented to an audience for debate. There needs to be a stronger position and presence of trans voices and active participation presented of these rather than just that of the cisgender-lens and standpoint. This research examines the relationship between human rights and theatre and considers global examples of this practice, as well as exploring the negatives formed from this relationship, and how this may be developed in the future. This focusses on the ability of theatre to denounce the violations of human rights and considers the power of theatre to support the importance of the awareness of violations to human rights for the raised awareness and potential for action of the audience – who may themselves be part of the oppressed, or indeed an oppressor. The fundamental assertion here is not one of evidenced social change, but of awareness raising of the audience and the potential for social activism and action. The practice of applied theatre is one that is experienced by the audience and the project participants alike, with the intention that theatre may consider how people interact with one another. This paper examines the opportunity of verbatim theatre techniques to allow for a cis-led trans-collaborative research project to (re) present intergenerational trans identities.

Keywords: applied theatre, verbatim, transgender, social justice

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Authors: Ni Wenli, He Jing

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Repeat–Accumulate (RA) codes are subclass of LDPC codes with fast encoder structures. In this paper, we consider a nonbinary extension of binary LDPC codes over GF(q) and construct a non-binary RA code and a non-binary QC-LDPC code over GF(2^4), we construct non-binary RA codes with linear encoding method and non-binary QC-LDPC codes with algebraic constructions method. And the BER performance of RA and QC-LDPC codes over GF(q) are compared with BP decoding and by simulation over the Additive White Gaussian Noise (AWGN) channels.

Keywords: non-binary RA codes, QC-LDPC codes, performance comparison, BP algorithm

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Authors: Sibawu Witness Siyepu

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This study explores the effects of instructional design using blended learning in the learning of radian measures among Engineering students. Blended learning is an education programme that combines online digital media with traditional classroom methods. It requires the physical presence of both lecturer and student in a mathematics computer laboratory. Blended learning provides element of class control over time, place, path or pace. The focus was on the use of Khan Academy to supplement traditional classroom interactions. Khan Academy is a non-profit educational organisation created by educator Salman Khan with a goal of creating an accessible place for students to learn through watching videos in a computer assisted computer. The researcher who is an also lecturer in mathematics support programme collected data through instructing students to watch Khan Academy videos on radian measures, and by supplying students with traditional classroom activities. Classroom activities entails radian measure activities extracted from the Internet. Students were given an opportunity to engage in class discussions, social interactions and collaborations. These activities necessitated students to write formative assessments tests. The purpose of formative assessments tests was to find out about the students’ understanding of radian measures, including errors and misconceptions they displayed in their calculations. Identification of errors and misconceptions serve as pointers of students’ weaknesses and strengths in their learning of radian measures. At the end of data collection, semi-structure interviews were administered to a purposefully sampled group to explore their perceptions and feedback regarding the use of blended learning approach in teaching and learning of radian measures. The study employed Algebraic Insight Framework to analyse data collected. Algebraic Insight Framework is a subset of symbol sense which allows a student to correctly enter expressions into a computer assisted systems efficiently. This study offers students opportunities to enter topics and subtopics on radian measures into a computer through the lens of Khan Academy. Khan academy demonstrates procedures followed to reach solutions of mathematical problems. The researcher performed the task of explaining mathematical concepts and facilitated the process of reinvention of rules and formulae in the learning of radian measures. Lastly, activities that reinforce students’ understanding of radian were distributed. Results showed that this study enthused the students in their learning of radian measures. Learning through videos prompted the students to ask questions which brought about clarity and sense making to the classroom discussions. Data revealed that sense making through reinvention of rules and formulae assisted the students in enhancing their learning of radian measures. This study recommends the use of Khan Academy in blended learning to be introduced as a socialisation programme to all first year students. This will prepare students that are computer illiterate to become conversant with the use of Khan Academy as a powerful tool in the learning of mathematics. Khan Academy is a key technological tool that is pivotal for the development of students’ autonomy in the learning of mathematics and that promotes collaboration with lecturers and peers.

Keywords: algebraic insight framework, blended learning, Khan Academy, radian measures

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Authors: Geraldine Mc Loughlin, Mary Horgan, Rosaleen Murphy

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Childbirth is a life-changing event, a psychological transition for the mother that must be viewed in a social context. Much has been written and documented regarding the preparation for birth and the immediate postnatal period, but the full psychological impact on the mother is not clear. One aspect of the transition process is Identity. Depending on a person’s worldview, the concept of identity is viewed differently; the nature of reality and how they construct knowledge influence these perspectives. Becoming a mother is not just an event but a process that time and experience will help to shape the understanding of the woman. To explore the emotional and psychological aspects of first-time mother’s experience during the transition to new motherhood. To identify factors affecting women’s identities in the period of 36 weeks gestation to 12 weeks postpartum. Interpretative Phenomenological Analysis (IPA) was used. It explores how these women make sense of and give meaning to their experiences. IPA is underpinned by 3 key principles: phenomenology, hermeneutics and idiographics. A purposeful sample of 10 women was recruited for this longitudinal study, to enable data to be collected during the transition to motherhood. Individual identity was interpreted and viewed as developing in response to changing contexts, such as the birth event becoming a parent, enabling one to construct one’s own sense of a meaningful life. Women effectively differentiated themselves from their personal and social identities and took responsibility for their actions. Identity is culturally and socially shaped and experienced, though not experienced similarly by all women. The individualized perspective on identity recognizes that (a) social influences are seen as external to the individual and (b) the view that social influences are, in fact, internalized by the individual.

Keywords: motherhood, transition, identity, IPA

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Authors: Wagneur Edouard

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Tropical algebra is the algebra constructed over an idempotent semifield S. We show here that every m-dimensional tropical module M over S with strongly independent basis can be embedded into Sm, and provide an algebraic invariant -the Γ-matrix of M- which characterises the isomorphy class of M. The strong independence condition also yields a significant improvement to the Whitney embedding for tropical torsion modules published earlier We also show that the strong independence of the basis of M is equivalent to the unique representation of elements of M. Numerous examples illustrate our results.

Keywords: classification, idempotent semi-modules, strong independence, tropical algebra

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Authors: Pibool Waijittragum

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The purpose of this paper is to synthesize the research result of brand Identities of Thai Halal brands which related to the way of life for Thai Muslims. The results will be transforming to Thai Halal Brands packaging and label design. The expected benefit is an alternative of marketing strategy for brand building process for Halal products in Thailand. Four elements of marketing strategies which necessary for the brand identity creation is the research framework: consists of Attributes, Benefits, Values and Personality. The research methodology was applied using qualitative and quantitative; 19 marketing experts with dynamic roles in Thai consumer products were interviewed. In addition, a field survey of 122 Thai Muslims selected from 175 Muslim communities in Bangkok was studied. Data analysis will be according to 5 categories of Thai Halal product: 1) Meat 2) Vegetable and Fruits 3) Instant foods and Garnishing ingredient 4) Beverages, Desserts and Snacks 5) Hygienic daily products. The results will explain some suitable approach for brand Identities of Thai Halal brands as are: 1) Benefit approach as the characteristics of the product with its benefit. The brand identity created transform to the packaging design should be clear and display a fresh product 2) Value approach as the value of products that affect to consumers’ perception. The brand identity created transform to the packaging design should be simply look and using a trustful image 3) Personality approach as the reflection of consumers thought. The brand identity created transform to the packaging design should be sincere, enjoyable, merry, flamboyant look and using a humoristic image.

Keywords: marketing strategies, brand identity, packaging and label design, Thai Halal products

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Authors: Francesco Scarpati

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Because of their long history, ranging from ancient times to the present day, European cities feature many historical layers, whose single identities are represented by traces surviving in the urban design. However, urban transformations, in particular, the ones that have been produced by the property speculation phenomena of the 20th century, often compromised the readability of these traces, resulting in a loss of the historical identities of the single layers. The purpose of this research is, therefore, a reflection on the theme of the reenactment of the historical memory in the stratified European contexts and on how contemporary architecture can help to reveal past signs of the cities. The research work starts from an analysis of a series of emblematic examples that have already provided an original solution to the described problem, going from the architectural detail scale to the urban and landscape scale. The results of these analyses are then applied to the case study of the city of Naples, as an emblematic example of a stratified city, with an ancient Greek origin; a city where it is possible to read most of the traces of its transformations. Particular consideration is given to the trace of the medieval walls of the city, which a long time ago clearly divided the city itself from the outer fields, and that is no longer readable at the current time. Finally, solutions and methods of intervention are proposed to ensure that the trace of the walls, read as a boundary, can be revealed through the contemporary project.

Keywords: contemporary project, historic memory, historic urban contexts, medieval walls, naples, stratified cities, urban traces

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Authors: Benjamin Lee Warren

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Many problems exist in additive number theory which is essential to determine the primes that are the sum of two elements from a given single-variable polynomial sequence, and most of them are unattackable in the present day. Here, we determine solutions for this problem to a few certain sequences (certain binomial coefficients and power sums) using only elementary algebra and some algebraic factoring methods (as well as Euclid’s Lemma and Faulhaber’s Formula). In particular, we show that there are finitely many primes as sums of two of these types of elements. Several cases are fully illustrated, and bounds are presented for the cases not fully illustrated.

Keywords: binomial coefficients, power sums, primes, algebra

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Authors: M. H. M. Rashid

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A Banach space operator T obeys property (gm) if the isolated points of the spectrum σ(T) of T which are eigenvalues are exactly those points λ of the spectrum for which T − λI is a left Drazin invertible. In this article, we study the stability of property (gm), for a bounded operator acting on a Banach space, under perturbation by finite rank operators, by nilpotent operators, by quasi-nilpotent operators, or more generally by algebraic operators commuting with T.

Keywords: Weyl's Theorem, Weyl Spectrum, Polaroid operators, property (gm)

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Authors: Manuela Gamba, Niki Mandolesi

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Teenagers today have little knowledge about how to move or play together. The adults who are part of sports culture must find an effective way to foster this essential ability. Our research in Italy uses a 'holistic model' based on fantasy literature to explore the relationships between the game identities and self-identities of young people and the achievement of psycho-motor, emotional and social well-being in the realms of sport and education. Physical activity projects were carried out in schools and extra-curricular associations in Rome, combining outdoor activities and distance learning. This holistic and malleable game model is inspired by fantasy accounts of the journeys taken in The Lord of Rings and Harry Potter books. We know that many have a lot of resistance to the idea of using fantasy and play as a pedagogical tool, but the results obtained in this experience are surprising. Our interventions and investigations focused on promoting self-esteem, awareness, a sense of belonging, social integration, cooperation, well-being, and informed decision making: a basis for healthy and effective citizenship. For teenagers, creative thinking is the right stimulus to involve and compare the story of characters to their own journey through social and self-reflective identity analysis. We observed how important it is to engage students emotionally as well as cognitively and that enabling them to play with identity through relationships with peers. There is a need today for a multidisciplinary synthesis of analog and digital values, especially in response to recent distance-living experiences. There is a need for a global reconceptualization of free time and nature in the human experience.

Keywords: awareness, creativity, identity, play

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Authors: Mohsen Zahraei

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‎In this paper, ‎the notion of ‎rank-k numerical range of rectangular complex matrix polynomials‎ ‎are introduced. ‎Some algebraic and geometrical properties are investigated. ‎Moreover, ‎for ε>0 the notion of Birkhoff-James approximate orthogonality sets for ε-higher ‎rank numerical ranges of rectangular matrix polynomials is also introduced and studied. ‎The proposed definitions yield a natural generalization of the standard higher rank numerical ranges.

Keywords: ‎‎Rank-k numerical range‎, ‎isometry‎, ‎numerical range‎, ‎rectangular matrix polynomials

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Authors: Elizabeth Bourgeois

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During social distancing, fashion and self-expression have been pushed further into virtual environments. In VR spaces, identities can be curated easily, untethered from the necessities of life and work. Personal styles reach a wider audience and follow new rules. Digital platforms leave some, but not all, 'real world' clothing constraints behind. Virtual aesthetics are set by the user and the software. Gen Z is a native user, applying face filters on Instagram and Snapchat and styling outfits and skins in apps like Gacha Life, Roblox, and Fortnite. These games cultivate space for community and personal style. Loosely tied to human forms, each app has physical aesthetics, with clear vernacular dress defining it. There are ecosystems of makers, consumers, and critics. Designer-modelers create original assets, brands, and luxury items. Fashion and beauty are ephemeral but always reflect the idealization of form and self. Online communities have already established new beauty ideals that impact live fashion trends. Fashion houses develop AR filters, gaming hairstyles challenge real-world colorists, and musicians perform virtual concerts in their avatar forms. In these times, social media and gaming communities promote the expression of public identity. The online dress is no longer tied to 'real' bodies or cloth. In virtual worlds, there are still tribes, status symbols, gender identities, and roles, but free of fabric, form, and static social structure, there is room for fantastic invention.

Keywords: virtual reality, fashion, Gen Z, social media, gaming

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Authors: Keith Schofield, Leigh Morland

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Storytelling is an established means of leadership and management development and is also considered a form of leadership of self and others in its own right. This study focuses on the utility of storytelling in the development of management narratives in an MBA programme; sources include programme participants as well as international recruiters, whose voices are often only heard in terms of economic contribution and globalisation. For many MBA candidates, the return to study requires the development of a new identity which complements their professional identity; each candidate has their own journey and expectations, the use of story can enable candidates to explore their aspirations and assumptions and give voice to previously unspoken ideas. For international recruitment, the story of market development and change must be captured if MBAs are to remain fit for purpose. If used effectively, story acts as a form of critical reflection that can inform the learning journeys of individuals, emerging identities as well as the ongoing design and development of programmes. The landscape of management education is shifting; the MBA begins to attract a different kind of candidate, some are younger than before, others are seeking validation for their existing work practices, yet more are entrepreneurial and wish to capitalise on an institutional experience to further their career. There is a shift in context, creating uncertainty and ambiguity for programme managers and recruiters, thus requiring institutions to create a new MBA narrative. This study utilises Lego SeriousPlay as the means to engaging programme participants and international agents in telling the story of their MBA. We asked MBA participants to tell the story of their leadership and management aspirations and compare these to stories of their development journeys, allowing for critical reflection of their respective development gaps. We asked international recruiters, who act as university agents and promote courses in the student’s country of origin, to explore their mental models of MBA candidates and their learning agenda. The purpose of this process was to explore the agent’s perception of the MBA programme and to articulate the student journey from a recruitment perspective. The paper’s unique contribution is in combining these stories in order to explore the assumptions that determine programme design. Data drawn from reflective statements together with images of Lego ‘builds’ created the opportunity for reflection between the mental models of these groups. Findings will inform the design of the MBA journey and experience; we review the extent to which the changing identities of learners are congruent with programme design. Data from international recruiters also determines the extent to which marketing and recruitment strategies identify with would be candidates.

Keywords: critical reflection, programme management, recruitment, storytelling

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Authors: Fola John Adeyeye

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In this paper, we propose a cryptosystem private and public key base on symmetric group Pn and validates its theoretical formulation. This proposed system benefits from the algebraic properties of Pn such as noncommutative high logical, computational speed and high flexibility in selecting key which makes the discrete permutation multiplier logic (DPML) resist to attack by any algorithm such as Pohlig-Hellman. One of the advantages of this scheme is that it explore all the possible triangular symmetries. Against these properties, the only disadvantage is that the law of permutation multiplicity only allow an operation from left to right. Many other cryptosystems can be transformed into their symmetric group.

Keywords: cryptosystem, private and public key, DPML, symmetric group Pn

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Authors: Antonieta Heyden Megale

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With the advent of globalization, the social, cultural and linguistic situation of the whole world has changed. In this scenario, the teaching of English, in Brazil, has become a booming business and the belief that this language is essential to a successful life is played by the media that sees it as a commodity and spares no effort to sell it. In this context, it has become evident the growth of bilingual and international schools that have English and Portuguese as languages of instruction. According to federal legislation, all schools in the country must follow the Curriculum guidelines proposed by the Ministry of Education of Brazil. It is then mandatory that, in addition to the specific foreign curriculum an international school subscribes to, it must also teach all subjects of the official minimum curriculum and these subjects have to be taught in Portuguese. It is important to emphasize that, in these schools, English is the most prestigious language. Therefore, firstly, Brazilian teachers who teach Portuguese in such contexts find themselves in a situation in which they teach in a low-status language. Secondly, because such teachers’ actions are guided by a different cultural matrix, which differs considerably from Anglo-Saxon values and beliefs, they often experience intercultural conflict in their workplace. Taking it consideration, this research, focusing on the trajectories of a specific group of Brazilian teachers of Portuguese in international and bilingual schools located in the city of São Paulo, intends to analyze how they discursively represent their own professional identities and practices. More specifically the objectives of this research are to understand, from the perspective of the investigated teachers, how they (i) rebuilt narratively their professional careers and explain the factors that led them to an international or to an immersion bilingual school; (ii) position themselves with respect to their linguistic repertoire; (iii) interpret the intercultural practices they are involved with in school and (v) position themselves by foregrounding categories to determine their membership in the group of Portuguese teachers. We have worked with these teachers’ autobiographical narratives. The autobiographical approach assumes that the stories told by teachers are systems of meaning involved in the production of identities and subjectivities in the context of power relations. The teachers' narratives were elicited by the following trigger: "I would like you to tell me how you became a teacher in a bilingual/international school and what your impressions are about your work and about the context in which it is inserted". These narratives were produced orally, recorded, and transcribed for analysis. The teachers were also invited to draw their "linguistic portraits". The theoretical concepts of positioning and the indexical cues were taken into consideration in data analysis. The narratives produced by the teachers point to intercultural conflicts related to their expectations and representations of others, which are never neutral or objective truths but discursive constructions.

Keywords: bilingual schools, identity, interculturality, narrative

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Authors: Maria Jose Mendoza Gordillo

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Introduction: Research regarding breastfeeding is devoted to how essential breastfeeding is to guarantee wellbeing for the mother and the baby from a medical standpoint relegating the cultural, material and social barriers for breastfeeding. Consequently, worldwide breastfeeding rates are low, and Ecuador is not the exception, especially among working mothers. Worldwide, health care providers have low rates of breastfeeding due to several barriers to lactation, such as the work schedule, a lack of private places for pumping while at work, and negative emotions. Goals and Methods: This study aimed to explore how do Ecuadorian women embrace their identities as nutritionists and mothers within their breastfeeding experience. The primary data come from 20 synchronous semi-structured interviews, which follow a topic guide. The interviews were recorded and transcribed verbatim. The data analysis followed the Phronetic Iterative Approach. Results: Women shifted the preconceived idea of the ideal breastfeeding that came from the medicalized discourse of breastfeeding, and that was constructed in their training as nutritionists. Although these women believe that breast milk and breastfeeding is the best way to feed a baby, the internalized ideal of breastfeeding shifted through the experience of motherhood. When these women developed their identity as mothers, they understood that the ideal breastfeeding is different from the medicalized discourse. Although they have that clash between the ideal and the external reality, they continued breastfeeding their babies and those experiences made them improve their professional practice. Conclusions: The narratives that women shared illustrate how complex it was to manage the different roles and identities that they wanted to fulfill to keep their identity of a good mother who breastfeeds her baby and, at the same time, a good healthcare provider identity. The process of breastfeeding for this group of women who are mothers and healthcare professionals appears to be a unique relational and identity negotiation process.

Keywords: breastfeeding, identity, nutritionist, qualitative

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Authors: Esha Thakkar, Ina Liu, Kalynn Hosea, Shana Katz, Katie Marks, Sarah Hall, Cat Liu, Suzanne Harris

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Purpose: Inequities in mental healthcare accessibility are cited as an international public health concern by the World Health Organization (WHO) and National Alliance on Mental Illness (NAMI). These disparities are further exacerbated in racial and ethnic minority groups and are especially concerning in health professional training settings such as Doctor of Pharmacy (PharmD) programs and postgraduate residency training where mental illness rates are high. The purpose of the study was to determine baseline access to culturally sensitive mental healthcare and how to improve such access and communication for racially and ethnically minoritized pharmacy students and residents at one school of pharmacy and a partnering academic medical center in the United States. Methods: This IRB-exempt study included 60-minute focus groups conducted in person or online from November 2021 to February 2022. Eligible participants included PharmD students in their first (P1), second (P2), third (P3), or fourth year (P4) or pharmacy residents completing a postgraduate year 1 (PGY1) or PGY2 who identify as Black, Indigenous, or Person of Color (BIPOC). There were four core theme questions asked during the focus groups to lead the discussion, specifically on the core themes of personal barriers, identities, areas that are working well, and areas for improvement. Participant responses were transcribed and analyzed using an open coding system with two individual reviews, followed by collaborative and intentional discussion and, as needed, an external audit of the coding by a third research team member to reach a consensus on themes. Results: This study enrolled 26 participants, with eight P1, five P2, seven P3, two P4, and four resident participants. Within the four core themes of barriers, identities, areas working well, and areas for improvement, emerging subthemes included: lack of time, access to resources, and stigma under barriers; lack of representation, cultural and family stigma, and gender identities for identity barriers; supportive faculty, sense of community and culture supporting paid time off for areas going well; and wellness days, reduced workload and diversity of the workforce in areas of improvement. Subthemes sometimes varied within a core theme depending on the participant year. Conclusions: There is a gap in the literature in addressing barriers and disparities in mental health access for pharmacy trainees who identify as BIPOC. We identified key findings in regards to barriers, identities, areas going well and areas for improvement that can inform the School and the Residency Program in two priority initiatives of well-being and diversity equity and inclusion in creating actionable recommendations for trainees, program directors, and employers of our institutions, and also has the potential to provide insight for other organizations about the structures influencing access to culturally sensitive care in BIPOC trainees. These findings can inform organizations on how to continue building on communication with those who identify as BIPOC and improve access to care.

Keywords: mental health, disparities, minorities, wellbeing, identity, communication, barriers

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Authors: Mai Alshareef

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The Saudi government considers the modernisation of the education system as a critical component of the national development plan, Saudi Vision 2030; however, this sudden reform creates tension amongst Saudis. This study examines first the reflection of the social and digital education reform on stakeholders and the general Saudi public, and second, the influence of information and communication technologies (ICTs) on the ethnoreligious conflict in Saudi Arabia. This study employs Cyberconflict theory to examine conflicts in the real world and cyberspace. The findings are based on a qualitative case study methodology that uses netnography, an analysis of 3,750 Twitter posts and semi-structural interviews with 30 individuals, including key actors in the Saudi education sector and Twitter activists during 2019\2020. The methods utilised are guided by thematic analysis to map an understanding of factors that influence societal conflicts in Saudi Arabia, which in this case include religious, national, and gender identity. Elements of Cyberconflict theory are used to better understand how conflicting groups build their identities in connection to their ethnic/religious/cultural differences and competing national identities. The findings correspond to the ethnoreligious components of the Cyberconflict theory. Twitter became a battleground for liberals, conservatives, the Saudi public and elites, and it is used in a novel way to influence public opinion and to challenge the media monopoly. Opposing groups relied heavily on a discourse of exclusion and inclusion and showed ethnic and religious affiliations, national identity, and chauvinism. The findings add to existing knowledge in the cyberconflict field of study, and they also reveal outcomes that are critical to the Saudi Arabian national context.

Keywords: education, cyberconflict, Twitter, national identity

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Authors: Puttaswamy, Anwar Alwardi, Nayaka S. R.

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One of the algebraic representation of a graph is the graph polynomial. In this article, we introduce the paired-domination polynomial of a graph G. The paired-domination polynomial of a graph G of order n is the polynomial Dp(G, x) with the coefficients dp(G, i) where dp(G, i) denotes the number of paired dominating sets of G of cardinality i and γpd(G) denotes the paired-domination number of G. We obtain some properties of Dp(G, x) and its coefficients. Further, we compute this polynomial for some families of standard graphs. Further, we obtain some characterization for some specific graphs.

Keywords: domination polynomial, paired dominating set, paired domination number, paired domination polynomial

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Authors: Oscar H. Malaco Jr.

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Homosexuality has been adapted as the universal concept that defines the deviations from the heteronormative parameters of society. Sexual orientation and gender identities have been used in a concretely separate manner the same way as the dynamics between man and woman, male and female, gender and sex operate. These terms are all products of human beings’ utilization of language. Language has proven its power to define and determine the status and the categories of the subjects in society. This tool developed by human beings provides a definition of their own specific cultural community and their individual selves that either claim or oppugn their space in the social hierarchy. The label ‘bakla’ is reasoned as an identity which is a reaction to the spectral disposition of gender and sexuality in the Philippine society. To expose the Filipino constitutes of bakla is the major attempt of this study. Through the methods of Sikolohiyang Pilipino (Filipino Psychology), namely Pagtatanung-tanong (asking questions) and Pakikipagkuwentuhan (story-telling), the utterances of the bakla were gathered and analyzed in a rhetorical and ideological manner. Furthermore, the Dramatistic Pentad of Kenneth Burke was adapted as a methodology and also utilized as a perspective of analysis. The results suggest that the bakla as an identity carries the hurdles of class. The performativity of the bakla is proven to be a cycle propelled by their guilt to be identified and recognized as subjects in a society where heteronormative power contests their gender and sexual expressions as relatively aberrational to the binary gender and sexual roles. The labels, hence, are potent structures that control the disposition of the bakla in the society, reflecting an aspect of the disposition of Filipino identities. After all, performing kabaklaan in the Philippine society is interplay between resistance and conformity to the hegemonic dominions as a result of imperial attempts to universalize the concept of homosexuality between and among distant cultural communities.

Keywords: gender identity, sexual orientation, rhetoric, performativity

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Authors: Ugahara Bin Mahyuddin Yunus

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In English Language Teaching, it cannot be denied that the backgrounds of English teachers do affect the way they teach English to their students, which in turn will affect their students’ English learning itself. Thus, it is very important to understand who the English teachers are so that how they teach English to their students can be understood. One of their backgrounds that is essential to be highlighted is their culture. Certainly, they wittingly or not will bring the perspectives and values of their culture into their daily teaching practices. In other words, their cultural identities do shape how they teach their students. Cultural identities themselves actually consist of some elements, one of which is regional identity. Indeed, the culture of the region in which English teachers identify with has impact on their beliefs and actions during teaching. For this reason, this study aims to understand how the regional identity of English teachers influence the way they teach English to their students. This study is a qualitative study conducted in a multilingual and multicultural setting, namely Aceh, Indonesia. Here, four Acehnese English teachers were involved as the research participants. In addition, this study adopted poststructuralist perspective to identity as the theoretical framework. Three research instruments were used in this study, namely semi-structured interviews, classroom observation, and teacher journal. The data gained from these instruments were then analyzed by using thematic analysis. Obviously, the research about the regional identity of English teachers in English Language Teaching has been studied worldwide. However, little is still known about it in Indonesian context, let alone Indonesia itself is a super diverse country with 34 regions. As a result, this study presents a good opportunity to advance the knowledge of how the regional identity construction of English teachers in this setting is. The findings of the study revealed that their regional identity construction in teaching was highly influenced by their indigenous language and religious faith. Even, how they teach English in classroom, in fact, is related to these two things. The conclusion that can be drawn from this study is for these English teachers, in fact, their regional identity itself constitutes their use of local language and religious identity, which are considered by them as their core identity.

Keywords: English language teaching, English teachers, identity construction, regional identity

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