Exponential approximation in the norms and semi-norms

The deviations of some entire functions of exponential type from real-valued functions and their derivatives are estimated. As approximation metrics we use the Lp-norms and power variations on R. Theorems presented here correspond to the Ganelius and Popov results concerning the one-sided trigonometric approximation of periodic functions (see [4, 5 and 8]). Some related facts were announced in [2, 3, 6 and 7].

On the Lp-Norm Regression Models for Estimating Value-at-Risk

Analysis of risk measures associated with price series data movements and its predictions are of strategic importance in the financial markets as well as to policy makers in particular for short- and longterm planning for setting up economic growth targets. For example, oilprice risk-management focuses primarily on when and how an organization can best prevent the costly exposure to price risk. Value-at-Risk (VaR) is the commonly practised instrument to measure risk and is evaluated by analysing the negative/positive tail of the probability distributions of the returns (profit or loss). In modelling applications, least-squares estimation (LSE)-based linear regression models are often employed for modeling and analyzing correlated data. These linear models are optimal and perform relatively well under conditions such as errors following normal or approximately normal distributions, being free of large size outliers and satisfying the Gauss-Markov assumptions. However, often in practical situations, the LSE-based linear regression models fail to provide optimal results, for instance, in non-Gaussian situations especially when the errors follow distributions with fat tails and error terms possess a finite variance. This is the situation in case of risk analysis which involves analyzing tail distributions. Thus, applications of the LSE-based regression models may be questioned for appropriateness and may have limited applicability. We have carried out the risk analysis of Iranian crude oil price data based on the Lp-norm regression models and have noted that the LSE-based models do not always perform the best. We discuss results from the L1, L2 and L∞-norm based linear regression models. ACM Computing Classification System (1998): B.1.2, F.1.3, F.2.3, G.3, J.2.

Soluções auto-similares das equações de Navier-Stokes em Lp-Fraco

Pós-graduação em Matemática - IBILCE

BIO Logical Agents: Norms, Beliefs, Intentions in Defeasible Logic

In this paper we follow the BOID (Belief, Obligation, Intention, Desire) architecture to describe agents and agent types in Defeasible Logic. We argue, in particular, that the introduction of obligations can provide a new reading of the concepts of intention and intentionality. Then we examine the notion of social agent (i.e., an agent where obligations prevail over intentions) and discuss some computational and philosophical issues related to it. We show that the notion of social agent either requires more complex computations or has some philosophical drawbacks.

Prejudiced attitudes, group norms, and discriminatory behaviour

Most current attitude research focuses on range of non-social attitudinal targets, including health-related and consumer outcomes. In this paper, a program of research that considers the relations among intergroup attitudes, group norms, and behavior will be described. The first study examined the effect of ingroup norms relating to multiculturalism on the extent to wich participants hehaviourally enacted their attitudes. Consistent with social identity theory, attitudebehaviour consistency in relation was influenced by ingroup norms, particularly when national identity was salient. The results of a large scale field study that essential replicated this pattern of results will also be discussed.

The link between prejudiced attitudes and discriminatory behaviour: The role of ingroup norms

In the present research, a reconceptualisation of the role of norms in the link between prejudiced attitudes and discriminatory behaviour — along the lines suggested by the social identity perspective — was tested. In the first study, group salience and group norm were manipulated. As expected, participants ascribed negative traits to significantly fewer Asian university students when they had received consensus information along these lines from a salient ingroup rather than from a salient outgroup. These results were replicated on a measure of strength of motivation to appear nonprejudiced. In a second study, group salience and norm were once again manipulated and strength of attitude and perceived group threat were measured. As predicted, people's negative attitudes towards globalisation were more likely to predict congruent behavioural responses to the extent that the group norm supported the attitude and group salience was high, particularly when high levels of group threat were perceived.

Health and demographic characteristics of respondents in an Australian national sexuality survey: comparison with population norms

Study objective: To assess the representativeness of survey participants by systematically comparing volunteers in a national health and sexuality survey with the Australian population in terms of self reported health status (including the SF-36) and a wide range of demographic characteristics. Design: A cross sectional sample of Australian residents were compared with demographic data from the 1996 Australian census and health data from the 1995 National Health Survey. Setting: The Australian population. Participants: A stratified random sample of adults aged 18-59 years drawn from the Australian electoral roll, a compulsory register of voters. Interviews were completed with 1784 people, representing 40% of those initially selected (58% of those for whom a valid telephone number could be located). Main results: Participants were of similar age and sex to the national population. Consistent with prior research, respondents had higher socioeconomic status, more education, were more likely to be employed, and less likely to be immigrants. The prevalence estimates, means, and variances of self reported mental and physical health measures (for example, SF-36 subscales, women's health indicators, current smoking status) were similar to population norms. Conclusions: These findings considerably strengthen inferences about the representativeness of data on health status from volunteer samples used in health and sexuality surveys.

Mean anisotropy of homogeneous Gaussian random fields and anisotropic norms of linear translation-invariant operators on multidimensional integer lattices

Sensitivity of output of a linear operator to its input can be quantified in various ways. In Control Theory, the input is usually interpreted as disturbance and the output is to be minimized in some sense. In stochastic worst-case design settings, the disturbance is considered random with imprecisely known probability distribution. The prior set of probability measures can be chosen so as to quantify how far the disturbance deviates from the white-noise hypothesis of Linear Quadratic Gaussian control. Such deviation can be measured by the minimal Kullback-Leibler informational divergence from the Gaussian distributions with zero mean and scalar covariance matrices. The resulting anisotropy functional is defined for finite power random vectors. Originally, anisotropy was introduced for directionally generic random vectors as the relative entropy of the normalized vector with respect to the uniform distribution on the unit sphere. The associated a-anisotropic norm of a matrix is then its maximum root mean square or average energy gain with respect to finite power or directionally generic inputs whose anisotropy is bounded above by a≥0. We give a systematic comparison of the anisotropy functionals and the associated norms. These are considered for unboundedly growing fragments of homogeneous Gaussian random fields on multidimensional integer lattice to yield mean anisotropy. Correspondingly, the anisotropic norms of finite matrices are extended to bounded linear translation invariant operators over such fields.

Transient Spaces: unsettling boundaries and norms at the cultural event Noc Noc, Guimarães, Portugal

Cities are increasingly expected to be creative, inventive and to exhibit intense expressivity. In the past decades many cities have experienced growing pressure to produce and stage cultural events of different sorts and to develop new strategies that optimize competitive advantages, in order to promote themselves and to boost and sell their image. Often these actions have relied on heavy public investment and major private corporation sponsoring, but it is not always clear or measured how successful and reproductive these investments have been. In the context of strained public finances and profound economic crisis of European peripheral countries, events that emerge from local communities and have low budgets, which manage to create significant fluxes of visitors and visibility, assume an increased interest. In order to reflect and sketch possible answers, we look to an emerging body of literature concerning creative cities, and we focus on the organisation of a particular cultural event and its impact and assimilation into a medium size Portuguese city. This paper looks at the two editions (2011 and 2012) of one of such events – Noc Noc – organized by a local association in the city of Guimarães, Portugal. Inspired by similar events, Noc Noc is based on creating transient spaces of culture which are explored by artists and audiences, by transforming numerous homes into ephemeral convivial and playful social ‘public’ environments. The event is based on a number of cultural venues/homes scattered around the old and newer city, which allows for an informal urban exploration and an autonomous rambling and getting lost along streets. This strategy not only disrupts the cleavages between public and private space permitting for various transgressions, but it also disorders normative urban experiences and unsettles the dominant role of the city council as the culture patron of the large majority of events. Guimarães, an UNESCO World Heritage City was the European Capital of Culture in 2012, with a public investment of roughly 73 million euro. By interviewing a sample of people who have hosted these transitory art performances and exhibitions, sometimes doubling as artists, the events’ organizers and by experience both editions of the event, this paper illustrates how urban citizens’ engagement and motivations in a low budget cultural event can strengthen community ties. Furthermore, it also questions the advantages of large scale high budget events, and how this event may be seen as unconscious counter movement against a commodification of cultural events and everyday urban experience at large, engaging with the concepts of staging and authenticity.