Fuzzy set Theory and Quantum Chemistry

Es discuteixen breument algunes consideracions sobre l'aplicació de la Teoria delsConjunts difusos a la Química quàntica. Es demostra aqui que molts conceptes químics associats a la teoria són adequats per ésser connectats amb l'estructura dels Conjunts difusos. També s'explica com algunes descripcions teoriques dels observables quàntics espotencien tractant-les amb les eines associades als esmentats Conjunts difusos. La funciódensitat es pren com a exemple de l'ús de distribucions de possibilitat al mateix temps queles distribucions de probabilitat quàntiques

El mètode APT (Auto Adjusting Perturbation Theory) de diagonalització de matrius

Es presenta un nou algorisme per a la diagonalització de matrius amb diagonal dominant. Es mostra la seva eficàcia en el tractament de matrius no simètriques, amb elements definits sobre el cos complex i, fins i tot, de grans dimensions. Es posa de manifest la senzillesa del mètode així com la facilitat d'implementació en forma de codi de programació. Es comentenels seus avantatges i característiques limitants, així com algunes de les millores que es poden implementar. Finalment, es mostren alguns exemples numèrics

Conditional compositional biplots: theory and application

The biplot has proved to be a powerful descriptive and analytical tool in many areasof applications of statistics. For compositional data the necessary theoreticaladaptation has been provided, with illustrative applications, by Aitchison (1990) andAitchison and Greenacre (2002). These papers were restricted to the interpretation ofsimple compositional data sets. In many situations the problem has to be described insome form of conditional modelling. For example, in a clinical trial where interest isin how patients’ steroid metabolite compositions may change as a result of differenttreatment regimes, interest is in relating the compositions after treatment to thecompositions before treatment and the nature of the treatments applied. To study thisthrough a biplot technique requires the development of some form of conditionalcompositional biplot. This is the purpose of this paper. We choose as a motivatingapplication an analysis of the 1992 US President ial Election, where interest may be inhow the three-part composition, the percentage division among the three candidates -Bush, Clinton and Perot - of the presidential vote in each state, depends on the ethniccomposition and on the urban-rural composition of the state. The methodology ofconditional compositional biplots is first developed and a detailed interpretation of the1992 US Presidential Election provided. We use a second application involving theconditional variability of tektite mineral compositions with respect to major oxidecompositions to demonstrate some hazards of simplistic interpretation of biplots.Finally we conjecture on further possible applications of conditional compositionalbiplots

Music performance anxiety among full-time music students

Introduction Music performance anxiety (MPA, often referred to as "stage fright") is one of the leading severe medical problems among musicians. For about 15-25% of musicians MPA is a serious problem. Particularly high levels of MPA are observed among music students. Musical performance can induce negative emotions, including anxiety, which in some individuals can approach extreme levels of terror and take the form of panic attack, impair the quality of the performance, lead to avoidance of performance situations, and consequently have debilitating effects on the career. Coping efforts used by musicians in their attempts to manage MPA, such as sedatives, alcohol, and β-blockers can have deleterious health side-effects. Music ranks high in the cultural and economic life of Switzerland. In ten university music schools, students from all around the world are educated to become professional musicians. Despite the importance of musical education in Switzerland, data concerning the phenomenon of MPA are largely lacking. Goal and Methods The main goal of this research was to survey the occurrence, experience, and management of MPA among full-time music students in French Swiss conservatories. A questionnaire was developed based on the literature and interviews with music students and teachers and distributed to all the students of the conservatories of Fribourg, Geneva, Lausanne, and Neuchâtel in the spring 2007. 194 students (61% women) returned the questionnaire. Results The size of the problem: MPA is a major problem for 1/3 of the students (ranks 3 and 4). The consequences of MPA: 22% and 35% of the students think that they have failed exams and auditions, respectively, because of MPA. Further, 25% of the students have already avoided performing and 11% have interrupted public performances because of MPA. Coping with MPA: 90% of the students have never used alcohol prior to performing, whereas 97% and 81%, respectively, have never used recreation drugs and medication. The majority of students use relaxation exercises, respiratory exercises, and meditation techniques to prepare themselves. About ¾ of the students think that the use of alcohol and recreational drugs to manage MPA is never justified. 53% of the students think that the use of medication is justified on some occasions. Need for information and support: 66% of the students would like to receive more support and help to cope with music performance situations. This support should mainly come from their teachers and specialists. 53% of the students know nothing or little about possible means for the management of MPA. About 50% consider themselves not at all or little informed about the possible risks associated with the consumption of alcohol, recreational drugs, and medication for the management of performance situations. 89% would like to know more about MPA and 94% think that this topic should be discussed much more in their musical education at the conservatory. Conclusions The results of this survey indicate that MPA is a major problem for 1/3 of the students with serious consequences on their career. There is a huge need for more information and support on how to manage the stress due to performance situations. The use of alcohol, recreational drugs, and medication is modest but the students are poorly informed about possible side-effects of these coping strategies. It seems clear that more should be done in the French Swiss conservatories about music performance anxiety to inform, educate, and prepare the students for their future professional career.

KAM theory for conformally symplectic systems

We present a KAM theory for some dissipative systems (geometrically, these are conformally symplectic systems, i.e. systems that transform a symplectic form into a multiple of itself). For systems with n degrees of freedom depending on n parameters we show that it is possible to find solutions with n-dimensional (Diophantine) frequencies by adjusting the parameters. We do not assume that the system is close to integrable, but we use an a-posteriori format. Our unknowns are a parameterization of the solution and a parameter. We show that if there is a sufficiently approximate solution of the invariance equation, which also satisfies some explicit non–degeneracy conditions, then there is a true solution nearby. We present results both in Sobolev norms and in analytic norms. The a–posteriori format has several consequences: A) smooth dependence on the parameters, including the singular limit of zero dissipation; B) estimates on the measure of parameters covered by quasi–periodic solutions; C) convergence of perturbative expansions in analytic systems; D) bootstrap of regularity (i.e., that all tori which are smooth enough are analytic if the map is analytic); E) a numerically efficient criterion for the break–down of the quasi–periodic solutions. The proof is based on an iterative quadratically convergent method and on suitable estimates on the (analytical and Sobolev) norms of the approximate solution. The iterative step takes advantage of some geometric identities, which give a very useful coordinate system in the neighborhood of invariant (or approximately invariant) tori. This system of coordinates has several other uses: A) it shows that for dissipative conformally symplectic systems the quasi–periodic solutions are attractors, B) it leads to efficient algorithms, which have been implemented elsewhere. Details of the proof are given mainly for maps, but we also explain the slight modifications needed for flows and we devote the appendix to present explicit algorithms for flows.

Theory of mind and cognitive processes in aging and Alzheimer type dementia: a systematic review.

OBJECTIVES: Theory of mind (ToM) performance in aging and dementia of the Alzheimer type (DAT) has been a growing interest of researchers and recently, theoretical trends in ToM development have led to a focus on determining the cognitive skills involved in ToM performance. The aim of the present review is to answer three main questions: How is ToM assessed in aging and DAT? How does ToM performance evolve in aging and DAT? Do cognitive processes influence ToM performance in aging and DAT? METHOD: A systematic review was conducted to provide a targeted overview of recent studies relating ToM performance with cognitive processes in aging and DAT. RESULTS: RESULTS suggest a decrease in ToM performance, more pronounced in complex ToM tasks. Moreover, the review points up the strong involvement of executive functions, especially inhibition, and reasoning skills in ToM task achievement. CONCLUSION: Current data suggest that the structure of ToM tasks itself could lead to poor performance, especially in populations with reduced cognitive abilities.

Music and felt emotions: how systematic pitch level variations affect the experience of pleasantness and arousal

Pitch is a fundamental musical factor; however, findings about its contribution to the elicitation of emotions are contradictory. The purpose of this work was to assess the effect of systematic pitch variations on self-reports of felt valence and arousal. In a within-subject design, 49 subjects listened to four 1-minute classical piano excerpts, each presented at three different pitch levels (one octave lower than the original version, the original version and one octave higher than the original version). Compared to excerpts both without octave modification and in the +1 octave variant, pleasantness of excerpts in the -1 octave variant was significantly lower. This main effect was stronger for women than men and, importantly, was modulated by the specific characteristics of the stimuli. There was also a significant, yet smaller, negative relationship between pitch level and arousal, moderated by gender: Compared to higher pitch, lower pitch was associated with higher arousal in men only. Regarding the complex outcomes of this study, future studies should investigate to which extent our findings can be generalized to other musical works. The ultimate goal might be to demonstrate how pitch level interacts with other musical features and listeners' characteristics in eliciting diverse affective experiences.

Theory of mind and social functioning in first episode psychosis

There is evidence of associations between social functioning and theory of mind performance and between social functioning and negative symptoms in chronic psychosis. This study investigates these associations in those with first episode psychosis who are unaffected by factors related to long-term mental illness. Our first hypothesis states that there is an association between theory of mind and social functioning. The second hypothesis states that there is no association between symptoms of psychosis and social functioning. Methods. Fifty-two individuals with first episode psychosis were assessed for social functioning, theory of mind ability (using the Hinting test with verbal stimuli and the Visual Cartoon test with pictorial stimuli), and symptoms of psychosis. Multivariable logistic regression was used to examine associations. Results. Social functioning and theory of mind were associated when measured by the Hinting test (OR 1.70, 95% CI 1.08, 2.66), but not with the Visual Cartoon test (ToM jokes OR 0.61, 95% CI 0.15, 2.53). There was no association between social functioning and symptoms (psychotic symptoms; OR 0.95, 95% CI 0.81, 1.12; selected negative symptoms; OR 1.33, 95% CI 0.78, 2.25). Conclusions. Theory of mind assessed by verbal stimuli is associated with social functioning in a population with first episode psychosis. These findings may be related to language disorders in psychosis.

Clustering algorithms for anti-money laundering using graph theory and social network analysis

HEMOLIA (a project under European community’s 7th framework programme) is a new generation Anti-Money Laundering (AML) intelligent multi-agent alert and investigation system which in addition to the traditional financial data makes extensive use of modern society’s huge telecom data source, thereby opening up a new dimension of capabilities to all Money Laundering fighters (FIUs, LEAs) and Financial Institutes (Banks, Insurance Companies, etc.). This Master-Thesis project is done at AIA, one of the partners for the HEMOLIA project in Barcelona. The objective of this thesis is to find the clusters in a network drawn by using the financial data. An extensive literature survey has been carried out and several standard algorithms related to networks have been studied and implemented. The clustering problem is a NP-hard problem and several algorithms like K-Means and Hierarchical clustering are being implemented for studying several problems relating to sociology, evolution, anthropology etc. However, these algorithms have certain drawbacks which make them very difficult to implement. The thesis suggests (a) a possible improvement to the K-Means algorithm, (b) a novel approach to the clustering problem using the Genetic Algorithms and (c) a new algorithm for finding the cluster of a node using the Genetic Algorithm.

Luck and the control theory of knowledge

The dissertation accomplishes two aims: 1) to diagnose what prevents true beliefs from being knowledge; 2) to give an positive account of knowledge. Concerning the first aim, it offers an account of the notion of luck. It defends the view that luck is a form of risk and distinguishes two types of luck. Then, it applies the account to the problem of epistemic luck and distinguishes, accordingly, two types of epistemic luck. It is argued that these two types of epistemic luck explain the whole range of cases of not-known true belief. Concerning the second aim, the dissertation advances an account of knowledge in terms of the notion of cognitive control that deals with the two forms of epistemic luck distinguished.