Hermite and Laguerre Symmetric Functions Associated with Operators of Calogero-Moser-Sutherland Type

We introduce and study natural generalisations of the Hermite and Laguerre polynomials in the ring of symmetric functions as eigenfunctions of infinite-dimensional analogues of partial differential operators of Calogero-Moser-Sutherland (CMS) type. In particular, we obtain generating functions, duality relations, limit transitions from Jacobi symmetric functions, and Pieri formulae, as well as the integrability of the corresponding operators. We also determine all ideals in the ring of symmetric functions that are spanned by either Hermite or Laguerre symmetric functions, and by restriction of the corresponding infinite-dimensional CMS operators onto quotient rings given by such ideals we obtain so-called deformed CMS operators. As a consequence of this restriction procedure, we deduce, in particular, infinite sets of polynomial eigenfunctions, which we shall refer to as super Hermite and super Laguerre polynomials, as well as the integrability, of these deformed CMS operators. We also introduce and study series of a generalised hypergeometric type, in the context of both symmetric functions and 'super' polynomials

Proximité à distance : les fonctions critiques de la mimêsis dans la pensée de Theodor W. Adorno

La présente thèse entend donner sens à un concept qui occupe une place centrale au sein de la pensée de Theodor W. Adorno mais qui, parce que notoirement difficile à définir, n’a pas reçu l’attention qu’il mérite : la mimêsis (Mimesis). Il s’agira, plus exactement, de comprendre la mimêsis comme un point nodal de la critique adornienne, qui nous permet de comprendre au nom et en vue de quoi elle se déploie. Car sous toutes ses acceptions – et nous verrons qu’elles sont fort variées – la mimêsis adornienne est toujours invoquée dans le but de contrecarrer les tendances hétéronomes (c’est-à-dire : déshumanisantes) propres aux sociétés capitalistes avancées. Surtout, elle est constamment présentée comme un correctif matérialiste au type de rationalité abstraite qui sous-tend ces sociétés. Cette tâche s’avère d’autant plus lourde que, malgré son important poids normatif, la mimêsis ne fait pas l’objet, chez Adorno, d’une théorisation explicite. Il nous faudra pallier cette indétermination, en identifiant d’abord les assises normatives les plus premières de la critique adornienne (0.0. Introduction : les fondements normatifs de la critique adornienne), pour ensuite rendre compte des fonctions particulières qu’occupe la mimêsis au sein de cette critique (1.0. Les fonctions critiques de la mimêsis adornienne). Ce travail de débroussaillage exégétique et interprétatif nous permettra de constater que la mimêsis adornienne recèle trois types de potentiels critiques distincts. D’abord, en ce qu’elle est présentée – dans les travaux des années 1930 et 1940 surtout – comme une impulsion psychosomatique à même de trahir, l’instant d’une brève résistance, la violence infligée à la nature intérieure et extérieure de l’homme par les forces réificatrices de la rationalité instrumentale (Instrumentelle Vernunft), la mimêsis adornienne peut être comprise comme un mimétisme (Mimikry) bioanthropologique dont la valeur est principalement expressive (2.O. Mimikry : le potentiel bioanthropologique de la mimêsis). Ensuite, lorsqu’elle sera pensée – à partir de la fin des années 50 surtout – comme une compétence proprement épistémique qui permet au sujet connaissant de rencontrer à nouveau puis de redéterminer les objets de son expérience, la mimêsis adornienne peut être comprise comme un correctif critique à la logique appropriative de la pensée identifiante (identifizierendes Denken) (3.O. Affinität et Entäusserung : le potentiel épistémique de la mimêsis). Enfin, dans la mesure où elle informe le modus operandi de l’oeuvre d’art d’avant-garde telle que défendue par Adorno dans la Théorie esthétique, et qui consiste à détourner, en les retournant contre elles-mêmes, les contraintes imposées par le monde totalement administré (total verwaltete Welt), la mimêsis peut être comprise comme une Methexis subversive, c’est-à-dire comme une stratégie séditieuse à même de conjurer l’hétéronomie sociale en l’anticipant et en l’incorporant (4.0. Methexis subversive : le potentiel stratégique de la mimêsis). Ainsi, tout en voulant rendre justice à la très grande polysémie du concept, nous aimerions démontrer que la mimêsis adornienne pointe constamment vers une forme ou une autre de résistance : comme expression, comme extériorisation ou comme subversion.The main goal of this thesis is to give meaning to a concept which, despite being central to the thought of Theodor W. Adorno, is notoriously difficult to grasp, and for that reason, has not received the critical attention it deserves: mimesis (Mimesis). More precisely, this thesis will present mimesis as a central principle which grounds the particular type of philosophical critique developed and defended by Adorno. Despite its different meanings – and they are numerous, as we shall see –, adornian mimesis is always invoked as a means of countering the heteronomous (that is to say, dehumanizing) tendencies at the heart of advanced capitalist societies. Above all, we will try to show that mimesis is presented by Adorno as a materialist corrective to the type of abstract rationality that underlies these societies. This task is a difficult one, since for all its normative importance, the concept of mimesis is never conceptualized as such by Adorno, but simply alluded to. We will try to compensate for this indeterminacy, firstly, by identifying the most fundamental normative underpinnings of Adorno’s thought (0.0. Introduction : les fondements normatifs de la critique adornienne), and secondly, by giving a full account of the different critical contributions that mimesis brings to it (1.0. Les fonctions critiques de la mimêsis adornienne). This exegetical and interpretative effort will enable us to see that Adorno’s concept of mimesis contains three distinct critical potentials. First, insofar as it is presented – especially in the works of the late 1930s and 1940s – as a psychosomatic impulse which gives lie, momentarily, to the violence inflicted on man’s interior and exterior nature by the reifying forces of instrumental rationality (Instrumentelle Vernunft), Adorno’s mimesis can be understood as a bioanthropological mimicry (Mimikry) (2.O. Mimikry : le potentiel bioanthropologique de la mimêsis). Secondly, insofar as it presented – more often in the works of the late 1950s and onward – as an epistemological competence by which the thinking subject is able to re-encounter and re-determine the objects of his experience, adornian mimesis can be seen to counteract the appropriative logic of identity thinking (identifizierendes Denken) (3.O. Affinität et Entäusserung : le potentiel épistémique de la mimêsis). Finally, insofar as it informs the radical artwork’s modus operandi – as it is defended by Adorno in his unfinished Aesthetic Theory –, that is, its capacity to subvert the constraints of the totally administered world (total verwaltete Welt) by incorporating them, adornian mimesis can be understood as a strategic Methexis, as a seditious tactic by which heteronomous forces can be at once anticipated and countered (4.0. Methexis subversive : le potentiel stratégique de la mimêsis). Thus, while looking to do justice to the rich polysemy of the concept of mimesis in Adorno, we would also like to show what, in all its forms, it points towards one form or another of resistance: as expression, exteriorization or subversion

Burden of disease in chronic rhinosinusitis with nasal polyps

Chronic rhinosinusitis with nasal polyps (CRSwNP) is a predominantly type 2 inflammation-mediated disease of the nasal mucosa and paranasal sinuses with an under-recognized clinical, humanistic, and economic burden. Patients with CRSwNP experience a high symptom burden, including nasal congestion, loss of smell, and rhinorrhea, which has a negative impact on physical and mental health-related quality of life, including sleep quality. Existing medical and surgical interventions, including local and systemic corticosteroids and endoscopic sinus surgery, may be associated with recurrence of nasal polyps and associated symptoms and with an increased risk of short- and long-term adverse effects, especially with repeated or long-term use. Because type 2 inflammation is implicated in the pathogenesis of several coexisting diseases, patients with CRSwNP often have comorbid asthma and/or nonsteroidal anti-inflammatory drug-exacerbated respiratory disease. These patients, as well as those with high corticosteroid use and/or sinonasal surgical history, have more severe disease and associated symptom burden and represent a difficult-to-treat population under the existing management paradigm. This article reviews the clinical, humanistic, and economic burden of CRSwNP; it highlights the unmet need for effective and safe CRSwNP therapies that effectively control symptoms and minimize recurrence by targeting the underlying type 2 inflammatory disease pathophysiology

P17-26. Effective design of T-cell driven vaccines applied to the GAIA HIV vaccine: advances in vaccine design based on current preclinical success

Poster Presentatio

A CRITICAL EVALUATION OF CHALLENGES TO MARINE PROTECTED AREAS IN PUERTO RICO

This report, prepared for University of Puerto Rico Mayaguez, is an independent assessment of the challenges to the development and management of marine protect areas (MPA) in Puerto Rico. Through analysis of five established MPA in Puerto Rico and interviews with key stakeholders that were involved in the establishment of MPA, we have documented lessons learned and possible solutions for successful MPA in Puerto Rico

Wearable devices for classification of inadequate posture at work using neural networks

Inadequate postures adopted by an operator at work are among the most important risk factors in Work-related Musculoskeletal Disorders (WMSDs). Although several studies have focused on inadequate posture, there is limited information on its identification in a work context. The aim of this study is to automatically differentiate between adequate and inadequate postures using two wearable devices (helmet and instrumented insole) with an inertial measurement unit (IMU) and force sensors. From the force sensors located inside the insole, the center of pressure (COP) is computed since it is considered an important parameter in the analysis of posture. In a first step, a set of 60 features is computed with a direct approach, and later reduced to eight via a hybrid feature selection. A neural network is then employed to classify the current posture of a worker, yielding a recognition rate of 90%. In a second step, an innovative graphic approach is proposed to extract three additional features for the classification. This approach represents the main contribution of this study. Combining both approaches improves the recognition rate to 95%. Our results suggest that neural network could be applied successfully for the classification of adequate and inadequate posture

Low-rank and sparse recovery of human gait data

Due to occlusion or detached markers, information can often be lost while capturing human motion with optical tracking systems. Based on three natural properties of human gait movement, this study presents two different approaches to recover corrupted motion data. These properties are used to define a reconstruction model combining low-rank matrix completion of the measured data with a group-sparsity prior on the marker trajectories mapped in the frequency domain. Unlike most existing approaches, the proposed methodology is fully unsupervised and does not need training data or kinematic information of the user. We evaluated our methods on four different gait datasets with various gap lengths and compared their performance with a state-of-the-art approach using principal component analysis (PCA). Our results showed recovering missing data more precisely, with a reduction of at least 2 mm in mean reconstruction error compared to the literature method. When a small number of marker trajectories is available, our findings showed a reduction of more than 14 mm for the mean reconstruction error compared to the literature approach