985 resultados para Dimension theory


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The subject of the text is the issue of the "political", which is defined as the nature and level of the final judgment and ultimate reasoning. The issues of this kind of the "political" has been attempted to distinguish in political sciences. The text focuses on: (1) the scientist as an agent for the final judgment and reasoning, (2) the subject of study of political science, (3) "theoretical strategies" in the science of politics. The latter problem has been discussed mainly on the example of Polish political science. Discussed were among others: (1) "the dilemma of scale", (2) limited operational capacity (methodological and theoretical), (3) aesthetic imagery of political life, (4) structural ignorance in the field of ontology, epistemology and methodology.

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We study the relations of shift equivalence and strong shift equivalence for matrices over a ring $\mathcal{R}$, and establish a connection between these relations and algebraic K-theory. We utilize this connection to obtain results in two areas where the shift and strong shift equivalence relations play an important role: the study of finite group extensions of shifts of finite type, and the Generalized Spectral Conjectures of Boyle and Handelman for nonnegative matrices over subrings of the real numbers. We show the refinement of the shift equivalence class of a matrix $A$ over a ring $\mathcal{R}$ by strong shift equivalence classes over the ring is classified by a quotient $NK_{1}(\mathcal{R}) / E(A,\mathcal{R})$ of the algebraic K-group $NK_{1}(\calR)$. We use the K-theory of non-commutative localizations to show that in certain cases the subgroup $E(A,\mathcal{R})$ must vanish, including the case $A$ is invertible over $\mathcal{R}$. We use the K-theory connection to clarify the structure of algebraic invariants for finite group extensions of shifts of finite type. In particular, we give a strong negative answer to a question of Parry, who asked whether the dynamical zeta function determines up to finitely many topological conjugacy classes the extensions by $G$ of a fixed mixing shift of finite type. We apply the K-theory connection to prove the equivalence of a strong and weak form of the Generalized Spectral Conjecture of Boyle and Handelman for primitive matrices over subrings of $\mathbb{R}$. We construct explicit matrices whose class in the algebraic K-group $NK_{1}(\mathcal{R})$ is non-zero for certain rings $\mathcal{R}$ motivated by applications. We study the possible dynamics of the restriction of a homeomorphism of a compact manifold to an isolated zero-dimensional set. We prove that for $n \ge 3$ every compact zero-dimensional system can arise as an isolated invariant set for a homeomorphism of a compact $n$-manifold. In dimension two, we provide obstructions and examples.

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This thesis examines digital technologies policies designed for Australian schools and the ways they are understood and interpreted by students, school staff, teachers, principals and policy writers. This study explores the ways these research participant groups interpret and understand the ‘ethical dimension’ of schools’ digital technologies policies for teaching and learning. In this thesis the ethical dimension is considered to be a dynamic concept which encompasses various elements including; decisions, actions, values, issues, debates, education, discourses, and notions of right and wrong, in relation to ethics and uses of digital technologies in schools. In this study policy is taken to mean not only written texts but discursive processes, policy documents including national declarations, strategic plans and ‘acceptable use’ policies to guide the use of digital technologies in schools. The research is situated in the context of changes that have occurred in Australia and internationally over the last decade that have seen a greater focus on the access to and use of digital technologies in schools. In Australian school education, the attention placed on digital technologies in schools has seen the release of policies at the national, state, territory, education office and school levels, to guide their use. Prominent among these policies has been the Digital Education Revolution policy, launched in 2007 and concluded in 2013. This research aims to answers the question: What does an investigation reveal about understandings of the ethical dimension of digital technologies policies and their implementation in school education? The objective of this research is to examine the ethical dimension of digital technologies policies and to interpret and understand the responses of the research participants to the issues, silences, discourses and language, which characterise this dimension. In doing so, it is intended that the research can allow the participants to have a voice that, may be different to the official discourses located in digital technologies policies. The thesis takes a critical and interpretative approach to policies and examines the role of digital technologies policies as discourse. Interpretative theory is utilised as it provides a conceptual lens from which to interpret different perspectives and the implications of these in the construction of meaning in relation to schools’ digital technologies policies. Critical theory is used in tandem with interpretative theory as it represents a conceptual basis from which to critique and question underlying assumptions and discourses that are associated with the ethical dimension of schools’ digital technologies policies. The research methods used are semi-structured interviews and policy document analysis. Policies from the national, state, territory, education office and school level were analysed and contribute to understanding the way the ethical dimension of digital technologies policies is represented as a discourse. Students, school staff, teachers, principals and policy writers participated in research interviews and their views and perspectives were canvassed in relation to the ethical use of digital technologies and the policies that are designed to regulate their use. The thesis presents an argument that the ethical dimension of schools’ digital technologies policies and use is an under-researched area, and there are gaps in understanding and knowledge in the literature which remain to be addressed. It is envisaged that the thesis can make a meaningful contribution to understand the ways in which schools’ digital technologies policies are understood in school contexts. It is also envisaged that the findings from the research can inform policy development by analysing the voices and views of those in schools. The findings of the policy analysis revealed that there is little attention given to the ethical dimension in digital technologies at the national level. A discourse of compliance and control pervades digital technologies policies from the state, education office and school levels, which reduces ethical considerations to technical, legal and regulatory requirements. The discourse is largely instrumentalist and neglects the educative dimension of digital technologies which has the capacity to engender their ethical use. The findings from the interview conversations revealed that students, school staff and teachers perceive digital technologies policies to be difficult to understand, and not relevant to their situation and needs. They also expressed a desire to have greater consultation and participation in the formation and enactment of digital technologies policies, and they believe they are marginalised from these processes in their schools. Arising from the analysis of the policies and interview conversations, an argument is presented that in the light of the prominent role played by digital technologies and their potential for enhancing all aspects of school education, more research is required to provide a more holistic and richer understanding of the policies that are constructed to control and mediate their use.

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To stay competitive, many employers are looking for creative and innovative employees to add value to their organization. However, current models of job performance overlook creative performance as an important criterion to measure in the workplace. The purpose of this dissertation is to conduct two separate but related studies on creative performance that aim to provide support that creative performance should be included in models of job performance, and ultimately included in performance evaluations in organizations. Study 1 is a meta-analysis on the relationship between creative performance and task performance, and the relationship between creative performance and organizational citizenship behavior (OCB). Overall, I found support for a medium to large corrected correlation for both the creative performance-task performance (ρ = .51) and creative performance-OCB (ρ = .49) relationships. Further, I also found that both rating-source and study location were significant moderators. Study 2 is a process model that includes creative performance alongside task performance and OCB as the outcome variables. I test a model in which both individual differences (specifically: conscientiousness, extraversion, proactive personality, and self-efficacy) and job characteristics (autonomy, feedback, and supervisor support) predict creative performance, task performance, and OCB through engagement as a mediator. In a sample of 299 employed individuals, I found that all the individual differences and job characteristics were positively correlated with all three performance criteria. I also looked at these relationships in a multiple regression framework and most of the individual differences and job characteristics still predicted the performance criteria. In the mediation analyses, I found support for engagement as a significant mediator of the individual differences-performance and job characteristics-performance relationships. Taken together, Study 1 and Study 2 support the notion that creative performance should be included in models of job performance. Implications for both researchers and practitioners alike are discussed.^

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Following the seminal work of Zhuang, connected Hopf algebras of finite GK-dimension over algebraically closed fields of characteristic zero have been the subject of several recent papers. This thesis is concerned with continuing this line of research and promoting connected Hopf algebras as a natural, intricate and interesting class of algebras. We begin by discussing the theory of connected Hopf algebras which are either commutative or cocommutative, and then proceed to review the modern theory of arbitrary connected Hopf algebras of finite GK-dimension initiated by Zhuang. We next focus on the (left) coideal subalgebras of connected Hopf algebras of finite GK-dimension. They are shown to be deformations of commutative polynomial algebras. A number of homological properties follow immediately from this fact. Further properties are described, examples are considered and invariants are constructed. A connected Hopf algebra is said to be "primitively thick" if the difference between its GK-dimension and the vector-space dimension of its primitive space is precisely one . Building on the results of Wang, Zhang and Zhuang,, we describe a method of constructing such a Hopf algebra, and as a result obtain a host of new examples of such objects. Moreover, we prove that such a Hopf algebra can never be isomorphic to the enveloping algebra of a semisimple Lie algebra, nor can a semisimple Lie algebra appear as its primitive space. It has been asked in the literature whether connected Hopf algebras of finite GK-dimension are always isomorphic as algebras to enveloping algebras of Lie algebras. We provide a negative answer to this question by constructing a counterexample of GK-dimension 5. Substantial progress was made in determining the order of the antipode of a finite dimensional pointed Hopf algebra by Taft and Wilson in the 1970s. Our final main result is to show that the proof of their result can be generalised to give an analogous result for arbitrary pointed Hopf algebras.

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Women with a disability continue to experience social oppression and domestic violence as a consequence of gender and disability dimensions. Current explanations of domestic violence and disability inadequately explain several features that lead women who have a disability to experience violent situations. This article incorporates both disability and material feminist theory as an alternative explanation to the dominant approaches (psychological and sociological traditions) of conceptualising domestic violence. This paper is informed by a study which was concerned with examining the nature and perceptions of violence against women with a physical impairment. The emerging analytical framework integrating material feminist interpretations and disability theory provided a basis for exploring gender and disability dimensions. Insight was also provided by the women who identified as having a disability in the study and who explained domestic violence in terms of a gendered and disabling experience. The article argues that material feminist interpretations and disability theory, with their emphasis on gender relations, disablism and poverty, should be used as an alternative tool for exploring the nature and consequences of violence against women with a disability.

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We generalize the classical notion of Vapnik–Chernovenkis (VC) dimension to ordinal VC-dimension, in the context of logical learning paradigms. Logical learning paradigms encompass the numerical learning paradigms commonly studied in Inductive Inference. A logical learning paradigm is defined as a set W of structures over some vocabulary, and a set D of first-order formulas that represent data. The sets of models of ϕ in W, where ϕ varies over D, generate a natural topology W over W. We show that if D is closed under boolean operators, then the notion of ordinal VC-dimension offers a perfect characterization for the problem of predicting the truth of the members of D in a member of W, with an ordinal bound on the number of mistakes. This shows that the notion of VC-dimension has a natural interpretation in Inductive Inference, when cast into a logical setting. We also study the relationships between predictive complexity, selective complexity—a variation on predictive complexity—and mind change complexity. The assumptions that D is closed under boolean operators and that W is compact often play a crucial role to establish connections between these concepts. We then consider a computable setting with effective versions of the complexity measures, and show that the equivalence between ordinal VC-dimension and predictive complexity fails. More precisely, we prove that the effective ordinal VC-dimension of a paradigm can be defined when all other effective notions of complexity are undefined. On a better note, when W is compact, all effective notions of complexity are defined, though they are not related as in the noncomputable version of the framework.

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This study develops a life-cycle model where investors make investment decisions in a realistic environment. Model results show that personal illiquid projects (housing and children), fixed costs (once-off/per-period participation costs plus variable/fixed transaction costs) and endogenous risky human capital (with permanent, transitory and disastrous shocks) together are able to address both the non-participation puzzle and the age-effects puzzle. Empirical implications of the model are examined using Heckman’s two-step method with the latest five Surveys of Consumer Finance (SCF). Regression results show that liquidity, informational cost and human capital are indeed the major determinants of participation and asset allocation decisions at different stages of an investor’s life.