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

Shape complexity based on mutual information

Shape complexity has recently received attention from different fields, such as computer vision and psychology. In this paper, integral geometry and information theory tools are applied to quantify the shape complexity from two different perspectives: from the inside of the object, we evaluate its degree of structure or correlation between its surfaces (inner complexity), and from the outside, we compute its degree of interaction with the circumscribing sphere (outer complexity). Our shape complexity measures are based on the following two facts: uniformly distributed global lines crossing an object define a continuous information channel and the continuous mutual information of this channel is independent of the object discretisation and invariant to translations, rotations, and changes of scale. The measures introduced in this paper can be potentially used as shape descriptors for object recognition, image retrieval, object localisation, tumour analysis, and protein docking, among others

Comparison of topography- and aperture-dependent motion compensation algorithms for airborne SAR

This letter presents a comparison between threeFourier-based motion compensation (MoCo) algorithms forairborne synthetic aperture radar (SAR) systems. These algorithmscircumvent the limitations of conventional MoCo, namelythe assumption of a reference height and the beam-center approximation.All these approaches rely on the inherent time–frequencyrelation in SAR systems but exploit it differently, with the consequentdifferences in accuracy and computational burden. Aftera brief overview of the three approaches, the performance ofeach algorithm is analyzed with respect to azimuthal topographyaccommodation, angle accommodation, and maximum frequencyof track deviations with which the algorithm can cope. Also, ananalysis on the computational complexity is presented. Quantitativeresults are shown using real data acquired by the ExperimentalSAR system of the German Aerospace Center (DLR).

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.

Computational and Biological Evaluation of N-octadecyl-N'-propylsulfamide, a Selective PPARα Agonist Structurally Related to N-acylethanolamines.

To further understand the pharmacological properties of N-oleoylethanolamine (OEA), a naturally occurring lipid that activates peroxisome proliferator-activated receptor alpha (PPARα), we designed sulfamoyl analogs based on its structure. Among the compounds tested, N-octadecyl-N'-propylsulfamide (CC7) was selected for functional comparison with OEA. The performed studies include the following computational and biological approaches: 1) molecular docking analyses; 2) molecular biology studies with PPARα; 3) pharmacological studies on feeding behavior and visceral analgesia. For the docking studies, we compared OEA and CC7 data with crystallization data obtained with the reference PPARα agonist GW409544. OEA and CC7 interacted with the ligand-binding domain of PPARα in a similar manner to GW409544. Both compounds produced similar transcriptional activation by in vitro assays, including the GST pull-down assay and reporter gene analysis. In addition, CC7 and OEA induced the mRNA expression of CPT1a in HpeG2 cells through PPARα and the induction was avoided with PPARα-specific siRNA. In vivo studies in rats showed that OEA and CC7 had anorectic and antiobesity activity and induced both lipopenia and decreases in hepatic fat content. However, different effects were observed when measuring visceral pain; OEA produced visceral analgesia whereas CC7 showed no effects. These results suggest that OEA activity on the PPARα receptor (e.g., lipid metabolism and feeding behavior) may be dissociated from other actions at alternative targets (e.g., pain) because other non cannabimimetic ligands that interact with PPARα, such as CC7, do not reproduce the full spectrum of the pharmacological activity of OEA. These results provide new opportunities for the development of specific PPARα-activating drugs focused on sulfamide derivatives with a long alkyl chain for the treatment of metabolic dysfunction.

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.