854 resultados para Duality of norms


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The Rorschach Performance Assessment System (R-PAS) was developed in 2011 as analternative to the previous Comprehensive System. The goal was to improve the psychometrics,and particularly the validity, of this assessment method. The norms for children werequestionable in the Comprehensive system (e.g., outdated, low numbers of subjects) and validitystudies for children were sparse. One of the indicators included in the R-PAS system, theaggressive content indicator (AgC), is intended to reflect aggressive behavior, but few studieshave examined the validity of this indicator. This study examined the validity of AgC in asample of 32 children and adolescents receiving services at a residential treatment center.Subjects' AgC scores were analyzed in relation to demographics and diagnosis, as well as ratingsof aggression and conduct problems from the Behavioral Assessment System for Children-2(BASC-2) Parent and Teacher Reports. Correlations between the AgC score and BASC-2aggression and conduct problems scores were not statistically significant. None of thecorrelations between AgC score and a diagnosis of Conduct Disorder, Oppositional DefiantDisorder, Posttraumatic Stress Disorder, or Mood Disorders were significant either. Given thesmall sample size, null results may be a result of power concerns. The lack of significantcorrelations may however, indicate that operational definitions of aggression used in variousforms of measurement reflect different constructs.

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This article studies generated scales having exactly three different step sizes within the language of algebraic combinatorics on words. These scales and their corresponding step-patterns are called non well formed. We prove that they can be naturally inserted in the Christoffel tree of well-formed words. Our primary focus in this study is on the left- and right-Lyndon factorization of these words. We will characterize the non-well-formed words for which both factorizations coincide. We say that these words satisfy the LR property and show that the LR property is satisfied exactly for half of the non-well-formed words. These are symmetrically distributed in the extended Christoffel tree. Moreover, we find a surprising connection between the LR property and the Christoffel duality. Finally, we prove that there are infinitely many Christoffel–Lyndon words among the set of non-well-formed words and thus there are infinitely many generated scales having as step-pattern a Christoffel–Lyndon word.

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In this paper, we propose a duality theory for semi-infinite linear programming problems under uncertainty in the constraint functions, the objective function, or both, within the framework of robust optimization. We present robust duality by establishing strong duality between the robust counterpart of an uncertain semi-infinite linear program and the optimistic counterpart of its uncertain Lagrangian dual. We show that robust duality holds whenever a robust moment cone is closed and convex. We then establish that the closed-convex robust moment cone condition in the case of constraint-wise uncertainty is in fact necessary and sufficient for robust duality. In other words, the robust moment cone is closed and convex if and only if robust duality holds for every linear objective function of the program. In the case of uncertain problems with affinely parameterized data uncertainty, we establish that robust duality is easily satisfied under a Slater type constraint qualification. Consequently, we derive robust forms of the Farkas lemma for systems of uncertain semi-infinite linear inequalities.

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The concepts of substantive beliefs and derived beliefs are defined, a set of substantive beliefs S like open set and the neighborhood of an element substantive belief. A semantic operation of conjunction is defined with a structure of an Abelian group. Mathematical structures exist such as poset beliefs and join-semilattttice beliefs. A metric space of beliefs and the distance of belief depending on the believer are defined. The concepts of closed and opened ball are defined. S′ is defined as subgroup of the metric space of beliefs Σ and S′ is a totally limited set. The term s is defined (substantive belief) in terms of closing of S′. It is deduced that Σ is paracompact due to Stone's Theorem. The pseudometric space of beliefs is defined to show how the metric of the nonbelieving subject has a topological space like a nonmaterial abstract ideal space formed in the mind of the believing subject, fulfilling the conditions of Kuratowski axioms of closure. To establish patterns of materialization of beliefs we are going to consider that these have defined mathematical structures. This will allow us to understand better cultural processes of text, architecture, norms, and education that are forms or the materialization of an ideology. This materialization is the conversion by means of certain mathematical correspondences, of an abstract set whose elements are beliefs or ideas, in an impure set whose elements are material or energetic. Text is a materialization of ideology.

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The multiobjective optimization model studied in this paper deals with simultaneous minimization of finitely many linear functions subject to an arbitrary number of uncertain linear constraints. We first provide a radius of robust feasibility guaranteeing the feasibility of the robust counterpart under affine data parametrization. We then establish dual characterizations of robust solutions of our model that are immunized against data uncertainty by way of characterizing corresponding solutions of robust counterpart of the model. Consequently, we present robust duality theorems relating the value of the robust model with the corresponding value of its dual problem.

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This article provides results guarateeing that the optimal value of a given convex infinite optimization problem and its corresponding surrogate Lagrangian dual coincide and the primal optimal value is attainable. The conditions ensuring converse strong Lagrangian (in short, minsup) duality involve the weakly-inf-(locally) compactness of suitable functions and the linearity or relative closedness of some sets depending on the data. Applications are given to different areas of convex optimization, including an extension of the Clark-Duffin Theorem for ordinary convex programs.

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Given a convex optimization problem (P) in a locally convex topological vector space X with an arbitrary number of constraints, we consider three possible dual problems of (P), namely, the usual Lagrangian dual (D), the perturbational dual (Q), and the surrogate dual (Δ), the last one recently introduced in a previous paper of the authors (Goberna et al., J Convex Anal 21(4), 2014). As shown by simple examples, these dual problems may be all different. This paper provides conditions ensuring that inf(P)=max(D), inf(P)=max(Q), and inf(P)=max(Δ) (dual equality and existence of dual optimal solutions) in terms of the so-called closedness regarding to a set. Sufficient conditions guaranteeing min(P)=sup(Q) (dual equality and existence of primal optimal solutions) are also provided, for the nominal problems and also for their perturbational relatives. The particular cases of convex semi-infinite optimization problems (in which either the number of constraints or the dimension of X, but not both, is finite) and linear infinite optimization problems are analyzed. Finally, some applications to the feasibility of convex inequality systems are described.

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Various sources have sought to consider the educational interventions that foster changes in perception of and attitudes toward nature, with the ultimate intent of understanding how education can be used to encourage environmentally responsible behaviours. With these in mind, the current study identified an outdoor environmental education program incorporating these empirically supported interventions, and assessed its ability to influence environmental knowledge, attitudes, and behaviours. Specifically, this study considered the following research questions: 1) To what degree can participation in this outdoor education program foster environmental knowledge and encourage pro-environmental attitudes and self-reported pro-environmental behaviours? 2) How is this effect different among students of different genders, and those who have different prior experiences in nature? Two motivational frameworks guided inquiry in the current study: the Value-Belief-Norm Model of Environmentalism (VBN) and the Theory of Planned Behaviour (TPB). The study employed a quantitative survey methodology, combining contemporary data measuring knowledge, attitudes, and behaviours with archived data collected by program staff, reflecting frequency of environmentally responsible behaviour. Further, a single qualitative item was included for which students provided “the first three words that [came] to mind when [they] think of the word nature.” Terms provided before and after the program were compared for differences in theme to detect subtle or underlying changes. Quantitative results indicated no significant change in student knowledge or attitudes through the outdoor environmental education program. However, a significant change in self-reported behaviour was identified from both the contemporary and archived data. This agreement in positive findings across the two data sets, collected using different measures and different participants, lends evidence of the program’s ability to encourage self-reported pro-environmental behaviour. Further, qualitative results showed some change in students’ perceptions of nature through the program, providing direction for future research. These findings suggest that this particular outdoor education program was successful in encouraging students’ self-reported environmentally responsible behaviour. This change was achieved without significant change in knowledge or environmental attitudes, suggesting that external factors not measured in this study might have played a role in affecting behaviour.

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This paper examines the EU-Neighbourhood East Parliamentary Assembly (EuroNest PA), an inter-parliamentary forum consisting of representatives from the European Parliament (EP) and from all Eastern Partnership (EaP) countries except Belarus, aiming at political and economic association between the EU and the EaP. More specifically, it analyzes the extent to which the EP tries and manages to socialize the national parliaments of the EaP countries. After introducing the theoretical framework, the paper outlines the structure and working methods of the EuroNest PA, clarifies the absence of Belarus in the framework, and examines the results of the first three plenary sessions. The paper concludes that, although the establishment of the EuroNest PA as such provides a framework to advance the EP’s goals of transmitting its norms and values to the EU’s Eastern neighbouring countries, in practice socialization has taken place only to a limited extent thus far.

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In the wake of the disclosures surrounding PRISM and other US surveillance programmes, this paper assesses the large-scale surveillance practices by a selection of EU member states: the UK, Sweden, France, Germany and the Netherlands. Given the large-scale nature of these practices, which represent a reconfiguration of traditional intelligence gathering, the paper contends that an analysis of European surveillance programmes cannot be reduced to a question of the balance between data protection versus national security, but has to be framed in terms of collective freedoms and democracy. It finds that four of the five EU member states selected for in-depth examination are engaging in some form of large-scale interception and surveillance of communication data, and identifies parallels and discrepancies between these programmes and the NSA-run operations. The paper argues that these programmes do not stand outside the realm of EU intervention but can be analysed from an EU law perspective via i) an understanding of national security in a democratic rule of law framework where fundamental human rights and judicial oversight constitute key norms; ii) the risks posed to the internal security of the Union as a whole as well as the privacy of EU citizens as data owners and iii) the potential spillover into the activities and responsibilities of EU agencies. The paper then presents a set of policy recommendations to the European Parliament.

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Deeply-embedded norms of liberalism and protectionism alongside EU policies focusing on promoting development and regional integration have shaped EU-Mercosur relations. These stand in stark contrast to the policies of the US, the historic hegemon in the region. This paper utilizes historical institutionalism to understand how the liberal tenets of EU competition policy and the protectionism of Common Agricultural Policy (CAP) have affected EU-Mercosur relations. Particular foci include Spain’s role in spearheading efforts to promote EU-Latin American relations and the way EU competition policies directed against monopolies in Europe spurred increased investment in Latin America, especially the Southern Cone. The latter prompted the EU to forge closer ties with Mercosur, encouraged cooperation and development programs and spurred regional integration and liberal trade regimes in Latin America.

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General principles are en vogue in EU law – and in need of conceptual clarification. A closer look at several concepts of principle in legal philosophy and legal theory sheds light upon the concept of general principles in EU law. A distinction between an aprioristic model of principle and a model of principle informed by legal positivism may contribute to clarifying the genesis of a (general) principle in EU law, as well as its nature and functions. This paper demonstrates that an evolution has taken place from a reliance on seemingly natural law inspired reflections of general principles via the desperate search to ground general principles in various kinds of sources based on a more or less sound methodology towards an increasing reliance on strictly positivistic approaches. Against this backdrop, general principles are likely to lose significance where there are other norms while retaining an important yet uncontrollable role where the traditional canon of sources is silent.

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Taking inspiration from both Tolstoy’s epic novel War and Peace and the Bible, Michael Emerson reflects in this CEPS Essay on the tumultuous year that has passed since President Yanukovich reneged on signing Ukraine’s Association Agreement with the EU, and on President Putin’s decision to intervene in Ukraine, tearing up all norms of international relations and public morality and inducing the sanctions that now inflict grave economic damage on Russia itself.

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This paper was prepared as a ILEC Policy Brief for discussion at the final conference of the project on Involuntary Loss of European Citizenship: Exchanging Knowledge and Identifying Guidelines for Europe, 11-12 December 2014. Co-funded by the European Commission’s DG for Justice, Citizenship and Fundamental Rights, the ILEC project has aimed to establish a framework for debate on international norms on involuntary loss of nationality. For more information visit: www.ilecproject.eu.

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This paper was prepared as a Policy Brief for discussion at the final conference of the project on Involuntary Loss of European Citizenship: Exchanging Knowledge and Identifying Guidelines for Europe, 11-12 December 2014. Co-funded by the European Commission’s DG for Justice, Citizenship and Fundamental Rights, the ILEC project has aimed to establish a framework for debate on international norms on involuntary loss of nationality. For more information visit: www.ilecproject.eu.