832 resultados para Polynomial Identities


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This Master's thesis examines two opposite nationalistic discourses on the revolution of Zanzibar. Chama cha Mapinduzi (CCM), the party in power since the 1964 revolution defends its revolutionary and "African" heritage in the current multi-party system. New nationalists, including among others the main opposition party Civic United Front (CUF), question both the 1964 revolution and the post-revolution period and blame CCM for empty promises, corruption and ethnic discrimination. This study analyzes the role of a significant historical event in the creation of nationalistic ideology and national identity. The 1964 revolution forms the nucleus of various debates related to the history of Zanzibar: slavery, colonialism, racial discrimination and political violence. Representations of these Social constructivist principles form the basis of this study, and central concepts in the theoretical framework are nationalism, national identity, ethnicity and race. I use critical discourse analysis as my research method, lean on the work by Teun A. van Dijk and Norman Fairclough as the most significant researchers in this field. I examine particularly the ways in which linguistic methods, such as stereotypes and metaphors are used to form in- and out-groups ("us" vs. "others"). My material, both in Swahili and English, was collected mainly in Tanzania in the fall of 2007 and from online sources in the spring of 2009. It includes publications by the Zanzibari government between the years of 1964-2000 (12), official speeches for the Revolution Day or the Union Day (12), articles from Tanzanian newspapers from the 1990s until the year of 2009 (15), memoirs and political pamphlets (10), blog posts and opinion pieces from four different websites (8), and interviews or personal communication in Zanzibar, Dar es Salaam and Uppsala (8). Nationalistic rhetoric often creates enemy images by using binary good-bad oppositions. Both discourses in this study build identities on the basis of "otherness" and exclusion, with the intent of emphasizing the particularity of the own group and excluding "evilness" outside the own reference group. These opposite views on the 1964 revolution as the main axis of the history of Zanzibar build different portraits of the nation and Zanzibari-ness (Uzanzibari). CCM still relies on the pre-revolutionary enemy images of Arabs as selfish rulers and cruel slave traders. For CCM, Zanzibar is primarily an "African" nation and a part of Tanzania which is threatened by "Arabs", the outsiders. In contrast, the new nationalists stress the long history of Zanzibar as multi-racial, cosmopolitan and formerly independent country which has its own, separate culture and identity from mainland Tanzanians. Heshima, honour/respect, one of the basic values of Swahili culture, occupies a central role in both discourses: the main party emphasizes that the revolution returned "heshima" to the Zanzibari Africans after centuries of humiliation, whereas the new nationalists claim that ever since the revolution all "non-Africans" have been humiliated and lost their "heshima". According to the new nationalists, true Zanzibari values which include tolerance and harmony between different "races" were lost when the "foreign" revolutionaries arrived from the mainland. Consequently, they see the 1964 revolution as Tanganyikan colonialism which began with the help of Western countries, and maintain that this "colonialism" still continues in the violent multi-party elections.

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The thesis studies three contemporary Chinese films, Incense (Xianghuo 2003), Beijing Bicycle (Shiqi sui de danche, 2001), and South of the Clouds (Yun de nanfang, 2004). The aim of the thesis is to find out how these films represent the individual, his relationships with others, and his possibilities in society. The films all portray a male individual setting out to pursue a goal, facing one obstacle after the other in the process, and in the end failing to achieve his goal. The other characters in the films are also primarily either unable or unwilling to help the lead character. In the thesis these features of the films are analysed by applying A.J. Greimas’s structuralist semiotic theory about the actantial structure of discourses. The questions about the individual’s position are answered by defining which instances in the films actually represent the actantial positions of the sender, receiver, subject, object, helper and opponent. The results of the actantial analyses of the three films are further discussed in the light of theories regarding individualization. The focus is on the theories of Ulrich Beck, Elisabeth Beck-Gernsheim and Zygmunt Bauman, who see a development towards individualization in societies following the disintegration of traditional social structures. For the most part, these theories do seem to be applicable to the films’ representations of the individual’s position, especially regarding the increased responsibility of the individual. For example, the position of the family is represented as either insignificant or negative in all of the films, which fits with the description of the individualized society, contradicting the idea of traditional Chinese society. On the other hand, the identities and goals of the characters in the films are not represented as fragmented in the way the theories would suggest.

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Error estimates for the error reproducing kernel method (ERKM) are provided. The ERKM is a mesh-free functional approximation scheme [A. Shaw, D. Roy, A NURBS-based error reproducing kernel method with applications in solid mechanics, Computational Mechanics (2006), to appear (available online)], wherein a targeted function and its derivatives are first approximated via non-uniform rational B-splines (NURBS) basis function. Errors in the NURBS approximation are then reproduced via a family of non-NURBS basis functions, constructed using a polynomial reproduction condition, and added to the NURBS approximation of the function obtained in the first step. In addition to the derivation of error estimates, convergence studies are undertaken for a couple of test boundary value problems with known exact solutions. The ERKM is next applied to a one-dimensional Burgers equation where, time evolution leads to a breakdown of the continuous solution and the appearance of a shock. Many available mesh-free schemes appear to be unable to capture this shock without numerical instability. However, given that any desired order of continuity is achievable through NURBS approximations, the ERKM can even accurately approximate functions with discontinuous derivatives. Moreover, due to the variation diminishing property of NURBS, it has advantages in representing sharp changes in gradients. This paper is focused on demonstrating this ability of ERKM via some numerical examples. Comparisons of some of the results with those via the standard form of the reproducing kernel particle method (RKPM) demonstrate the relative numerical advantages and accuracy of the ERKM.

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Joseph Brodsky, one of the most influential Russian intellectuals of the late Soviet period, was born in Leningrad in 1940, emigrated to the United States in 1972, received the Nobel Prize for Literature in 1987, and died in New York City in 1996. Brodsky was one of the leading public figures of Soviet emigration in the Cold War period, and his role as a model for the constructing of Russian cultural identities in the last years of the Soviet Union was, and still is, extremely important. One of Joseph Brodsky’s great contributions to Russian culture of the latter half of the twentieth century is the wide geographical scope of his poetic and prose works. Brodsky was not a travel writer, but he was a traveling writer who wrote a considerable number of poems and essays which relate to his trips and travels in the Soviet empire and outside it. Travel writing offered for Brodsky a discursive space for negotiating his own transculturation, while it also offered him a discursive space for making powerful statements about displacement, culture, history and geography, time and space—all major themes of his poetry. In this study of Joseph Brodsky’s travel writing I focus on his travel texts in poetry and prose, which relate to his post-1972 trips to Mexico, Brazil, Turkey, and Venice. Questions of empire, tourism, and nostalgia are foregrounded in one way or another in Brodsky’s travel writing performed in emigration. I explore these concepts through the study of tropes, strategies of identity construction, and the politics of representation. The theoretical premises of my work draw on the literary and cultural criticism which has evolved around the study of travel and travel writing in recent years. These approaches have gained much from the scholarly experience provided by postcolonial critique. Shifting the focus away from the concept of exile, the traditional framework for scholarly discussions of Brodsky’s works, I propose to review Brodsky’s travel poetry and prose as a response not only to his exilic condition but to the postmodern and postcolonial landscape, which initially shaped the writing of these texts. Discussing Brodsky’s travel writing in this context offers previously unexplored perspectives for analyzing the geopolitical, philosophical, and linguistic premises of his poetic imagination. By situating Brodsky’s travel writing in the geopolitical landscape of postcolonial postmodernity, I attempt to show how Brodsky’s engagement with his contemporary cultural practices in the West was incorporated into his Russian-language travel poetry and prose and how this engagement thus contributed to these texts’ status as exceptional and unique literary events within late Soviet Russian cultural practices.

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This note is concerned with the problem of determining approximate solutions of Fredholm integral equations of the second kind. Approximating the solution of a given integral equation by means of a polynomial, an over-determined system of linear algebraic equations is obtained involving the unknown coefficients, which is finally solved by using the least-squares method. Several examples are examined in detail. (c) 2009 Elsevier Inc. All rights reserved.

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This book is a study on learning, teaching/counselling, and research on the two. My quest has been to find a pedagogically-motivated way of researching learning and teaching interaction, and in particular counselling, in an autonomous language-learning environment. I have tried to develop a method that would make room for lived experience, meaning-making and narrating, because in my view these all characterise learning encounters between language learners and counsellors, and learners and their peers. Lived experience as a source of meaning, telling and co-telling becomes especially significant when we try to listen to the diverse personal and academic voices of the past as expressed in autobiographical narratives. I have aimed at researching various ALMS dialogues (Autonomous Learning Modules, University of Helsinki Language Centre English course and programme), and autobiographical narratives within them, in a way that shows respect for the participants, and that is relevant, reflective and, most importantly, self-reflexive. My interest has been in autobiographical telling in (E)FL [(English as a) foreign language], both in students first-person written texts on their language- learning histories and in the sharing of stories between learners and a counsellor. I have turned to narrative inquiry in my quest and have written the thesis as an experiential narrative. In particular, I have studied learners and counsellors in one and the same story, as characters in one narrative, in an attempt to avoid the impression that I am telling yet another separate, anecdotal story, retrospectively. Through narrative, I have shed light on the subjective dimensions of language learning and experience, and have come closer to understanding the emotional aspects of learning encounters. I have questioned and rejected a distanced and objective approach to describing learning and teaching/counselling. I have argued for a holistic and experiential approach to (E)FL encounters in which there is a need to see emotion and cognition as intertwined, and thus to appreciate learners and counsellors emotionally-charged experiences as integral to their identities. I have also argued for a way of describing such encounters as they are situated in history, time, autobiography, and the learning context. I have turned my gaze on various constellations of lived experience: the data was collected on various occasions and in various settings during one course and consists of videotaped group sessions, individual counselling sessions between students and their group counsellor, biographic narrative interviews with myself, open-ended personally-inspired reflection texts written by the students about their language-learning histories, and student logs and diaries. I do not consider data collection an unproblematic occasion, or innocent practice, and I defend the integrity of the research process. Research writing cannot be separated from narrative field work and analysing and interpreting the data. The foci in my work have turned to be the following: 1) describing ALMS encounters and specifying their narrative aspects; 2) reconceptualising learner and teacher autonomy in ALMS and in (E)FL; 2) developing (E)FL methodologically through a teacher-researcher s identity work; 4) research writing as a dialogical narrative process, and the thesis as an experiential narrative. Identity and writing as inquiry, and the deeply narrative and autobiographical nature of the (E)FL teaching/counselling/researching have come to the fore in this research. Research writing as a relational activity and its implications for situated ways of knowing and knowledge turned out to be important foci. I have also focussed on the context-bound and local teacher knowledge and ways of knowing about being a teacher, and I have argued for personal ways of knowing about, and learning and studying foreign languages. I discuss research as auto/biography: as a practising counsellor I use my own life and (E)FL experience to understand and interpret the stories of the research participants even though I was not involved in their course work. The supposedly static binaries of learner/teacher, and also learner autonomy/teacher autonomy, are thus brought into the discussion. I have highlighted the infinite variability and ever-changing nature of learning and teaching English, but the book is also of relevance to foreign language education in general.

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English is currently ascendant as the language of globalisation, evident in its mediation of interactions and transactions worldwide. For many international students, completion of a degree in English means significant credentialing and increased job prospects. Australian universities are the third largest English-speaking destination for overseas students behind the United States and the United Kingdom. International students comprise one-fifth of the total Australian university population, with 80% coming from Asian countries (ABS, 2010). In this competitive higher education market, English has been identified as a valued ‘good’. Indeed, universities have been critiqued for relentlessly reproducing the “hegemony and homogeneity of English” (Marginson, 2006, p. 37) in order to sustain their advantage in the education market. For international students, English is the gatekeeper to enrolment, the medium of instruction and the mediator of academic success. For these reasons, English is not benign, yet it remains largely taken-for-granted in the mainstream university context. This paper problematises the naturalness of English and reports on a study of an Australian Master of Education course in which English was a focus. The study investigated representations of English as they were articulated across a chain of texts including the university strategic plan, course assessment criteria, student assignments, lecturer feedback, and interviews. Critical Discourse Analysis (CDA) and Foucault’s work on discourse enabled understandings of how a particular English is formed through an apparatus of specifications, exclusionary thresholds, strategies for maintenance (and disruption), and privileged concepts and speaking positions. The findings indicate that English has hegemonic status within the Australian university, with material consequences for students whose proficiency falls outside the thresholds of accepted English practice. Central to the constitution of what counts as English is the relationship of equivalence between standard written English and successful academic writing. International students’ representations of English indicate a discourse that impacts on identities and practices and preoccupies them considerably as they negotiate language and task demands. For the lecturer, there is strategic manoeuvring within the institutional regulative regime to support students’ English language needs using adapted assessment practices, explicit teaching of academic genres and scaffolded classroom interaction. The paper concludes with the implications for university teaching and learning.