La paradoja de Mies : las simetrías invisibles a través del Pabellón de Barcelona

El vínculo de Mies van der Rohe con la simetría es un invariante que se intuye en toda su obra más allá de su pretendida invisibilidad. Partiendo del proyecto moderno como proceso paradójico, que Mies lo expresa en sus conocidos aforismos, como el célebre “menos es más”, la tesis pretende ser una aproximación a este concepto clave de la arquitectura a través de una de sus obras más importantes: el Pabellón Alemán para la Exposición Universal de 1.929 en Barcelona. Ejemplo de planta asimétrica según Bruno Zevi y un “auténtico caballo de Troya cargado de simetrías” como lo definió Robin Evans. El Pabellón representó para la modernidad, la culminación de una década que cambió radicalmente la visión de la arquitectura hasta ese momento, gracias al carácter inclusivo de lo paradójico y las innumerables conexiones que hubo entre distintas disciplinas, tan antagónicas, como el arte y la ciencia. De esta última, se propone una definición ampliada de la simetría como principio de equivalencia entre elementos desde la invariancia. En esta definición se incorpora el sentido recogido por Lederman como “expresión de igualdad”, así como el planteado por Hermann Weyl en su libro Simetría como “invariancia de una configuración bajo un grupo de automorfismos” (libro que Mies tenía en su biblioteca privada). Precisamente para Weyl, el espacio vacío tiene un alto grado de simetría. “Cada punto es igual que los otros, y en ninguno hay diferencias intrínsecas entre las diversas direcciones." A partir de este nuevo significado, la obra de Mies adquiere otro sentido encaminado a la materialización de ese espacio, que él pretendía que “reflejase” el espíritu de la época y cuya génesis se postula en el Teorema de Noether que establece que “por cada simetría continua de las leyes físicas ha de existir una ley de conservación”. Estas simetrías continúas son las simetrías invisibles del espacio vacío que se desvelan “aparentemente” como oposición a las estructuras de orden de las simetrías de la materia, de lo lleno, pero que participan de la misma lógica aporética miesiana, de considerarlo otro material, y que se definen como: (i)limitado, (in)grávido, (in)acabado e (in)material. Finalmente, una paradoja más: El “espacio universal” que buscó Mies, no lo encontró en América sino en este pabellón. Como bien lo han intuido arquitectos contemporáneos como Kazuyo Sejima + Ryue Nishizawa (SANAA) legítimos herederos del maestro alemán. ABSTRACT The relationship between Mies van der Rohe with the symmetry is an invariant which is intuited in his entire work beyond his intentional invisibility. Based on the modern project as a paradoxical process, which Mies expresses in his aphorisms know as the famous “less is more”, the thesis is intended to approach this key concept in architecture through one of his most important works: The German Pavilion for the World Expo in 1929 in Barcelona, an example of asymmetric floor according to Bruno Zevi and a “real Trojan horse loaded with symmetries”. As defined by Robin Evans. For modernity, this Pavilion represented the culmination of a decade which radically changed the vision of architecture so far, thanks to the inclusive character of the paradoxical and the innumerable connections that there were amongst the different disciplines, as antagonistic as Art and Science. Of the latter, an expanded definition of symmetry is proposed as the principle of equivalence between elements from the invariance. Incorporated into this definition is the sense defined by Leterman as “expression of equality,” like the one proposed by Hermann Weyl in his book Symmetry as “configuration invariance under a group of automorphisms” (a book which Mies had in his private library). Precisely for Weyl, the empty space has a high degree of symmetry. “Each point is equal to the other, and in none are there intrinsic differences among the diverse directions.” Based on this new meaning, Mies’ work acquires another meaning approaching the materialization of that space, which he intended to “reflect” the spirit of the time and whose genesis is postulated in the Noether’s theorem which establishes that “for every continuous symmetry of physical laws, there must be a law of conservation.” These continuous symmetries are the invisible empty space symmetries which reveal themselves “apparently” as opposition to the structures of matter symmetries, of those which are full, but which participate in the same Mies aporetic logic, if deemed other material, and which is defined as (un)limited, weight(less), (un)finished and (im)material. Finally, one more paradox: the “universal space” which Mies search for, he did not find it in America, but at this pavilion, just as the contemporary architects like Kazuyo Sejima + Ryue Nishizawa (SANAA) rightfully intuited, as legitimate heirs of the German master.

Kinematic geometry of mass-triangles and reduction of Schrödinger’s equation of three-body systems to partial differential equations solely defined on triangular parameters

Schrödinger’s equation of a three-body system is a linear partial differential equation (PDE) defined on the 9-dimensional configuration space, ℝ9, naturally equipped with Jacobi’s kinematic metric and with translational and rotational symmetries. The natural invariance of Schrödinger’s equation with respect to the translational symmetry enables us to reduce the configuration space to that of a 6-dimensional one, while that of the rotational symmetry provides the quantum mechanical version of angular momentum conservation. However, the problem of maximizing the use of rotational invariance so as to enable us to reduce Schrödinger’s equation to corresponding PDEs solely defined on triangular parameters—i.e., at the level of ℝ6/SO(3)—has never been adequately treated. This article describes the results on the orbital geometry and the harmonic analysis of (SO(3),ℝ6) which enable us to obtain such a reduction of Schrödinger’s equation of three-body systems to PDEs solely defined on triangular parameters.

Brain-wave recognition of sentences

Electrical and magnetic brain waves of two subjects were recorded for the purpose of recognizing which one of 12 sentences or seven words auditorily presented was processed. The analysis consisted of averaging over trials to create prototypes and test samples, to each of which a Fourier transform was applied, followed by filtering and an inverse transformation to the time domain. The filters used were optimal predictive filters, selected for each subject. A still further improvement was obtained by taking differences between recordings of two electrodes to obtain bipolar pairs that then were used for the same analysis. Recognition rates, based on a least-squares criterion, varied, but the best were above 90%. The first words of prototypes of sentences also were cut and pasted to test, at least partially, the invariance of a word’s brain wave in different sentence contexts. The best result was above 80% correct recognition. Test samples made up only of individual trials also were analyzed. The best result was 134 correct of 288 (47%), which is promising, given that the expected recognition number by chance is just 24 (or 8.3%). The work reported in this paper extends our earlier work on brain-wave recognition of words only. The recognition rates reported here further strengthen the case that recordings of electric brain waves of words or sentences, together with extensive mathematical and statistical analysis, can be the basis of new developments in our understanding of brain processing of language.

Dynamical hierarchy in transition states: Why and how does a system climb over the mountain?

How a reacting system climbs through a transition state during the course of a reaction has been an intriguing subject for decades. Here we present and quantify a technique to identify and characterize local invariances about the transition state of an N-particle Hamiltonian system, using Lie canonical perturbation theory combined with microcanonical molecular dynamics simulation. We show that at least three distinct energy regimes of dynamical behavior occur in the region of the transition state, distinguished by the extent of their local dynamical invariance and regularity. Isomerization of a six-atom Lennard–Jones cluster illustrates this: up to energies high enough to make the system manifestly chaotic, approximate invariants of motion associated with a reaction coordinate in phase space imply a many-body dividing hypersurface in phase space that is free of recrossings even in a sea of chaos. The method makes it possible to visualize the stable and unstable invariant manifolds leading to and from the transition state, i.e., the reaction path in phase space, and how this regularity turns to chaos with increasing total energy of the system. This, in turn, illuminates a new type of phase space bottleneck in the region of a transition state that emerges as the total energy and mode coupling increase, which keeps a reacting system increasingly trapped in that region.

Mirror symmetry breaking at the molecular level.

Reasoning from two basic principles of molecular physics, P invariance of electromagnetic interaction and the second law of thermodynamics, one would conclude that mirror symmetry retained in the world of chiral molecules. This inference is fully consistent with what is observed in inorganic nature. However, in the bioorganic world, the reverse is true. Mirror symmetry there is definitely broken. Is it possible to account for this phenomenon without going beyond conventional concepts of the kinetics of enantioselective processes? This study is an attempt to survey all existing hypotheses containing this phenomenon.

Temperature effects in hydrophobic interaction chromatography.

The effect of temperature from 5 degrees C to 50 degrees C on the retention of dansyl derivatives of amino acids in hydrophobic interaction chromatography (HIC) was investigated by HPLC on three stationary phases. Plots of the logarithmic retention factor against the reciprocal temperature in a wide range were nonlinear, indicative of a large negative heat capacity change associated with retention. By using Kirchoff's relations, the enthalpy, entropy, and heat capacity changes were evaluated from the logarithmic retention factor at various temperatures by fitting the data to a logarithmic equation and a quadratic equation that are based on the invariance and on an inverse square dependence of the heat capacity on temperature, respectively. In the experimental temperature interval, the heat capacity change was found to increase with temperature and could be approximated by the arithmetic average. For HIC retention of a set of dansylamino acids, both enthalpy and entropy changes were positive at low temperatures but negative at high temperatures as described in the literature for other processes based on the hydrophobic effect. The approach presented here shows that chromatographic measurements can be not only a useful adjunct to calorimetry but also an alternative means for the evaluation of thermodynamic parameters.

Scaling in geology: landforms and earthquakes.

Landforms and earthquakes appear to be extremely complex; yet, there is order in the complexity. Both satisfy fractal statistics in a variety of ways. A basic question is whether the fractal behavior is due to scale invariance or is the signature of a broadly applicable class of physical processes. Both landscape evolution and regional seismicity appear to be examples of self-organized critical phenomena. A variety of statistical models have been proposed to model landforms, including diffusion-limited aggregation, self-avoiding percolation, and cellular automata. Many authors have studied the behavior of multiple slider-block models, both in terms of the rupture of a fault to generate an earthquake and in terms of the interactions between faults associated with regional seismicity. The slider-block models exhibit a remarkably rich spectrum of behavior; two slider blocks can exhibit low-order chaotic behavior. Large numbers of slider blocks clearly exhibit self-organized critical behavior.

Casamento de modelos baseado em projeções radiais e circulares invariante a pontos de vista.

Este trabalho aborda o problema de casamento entre duas imagens. Casamento de imagens pode ser do tipo casamento de modelos (template matching) ou casamento de pontos-chaves (keypoint matching). Estes algoritmos localizam uma região da primeira imagem numa segunda imagem. Nosso grupo desenvolveu dois algoritmos de casamento de modelos invariante por rotação, escala e translação denominados Ciratefi (Circula, radial and template matchings filter) e Forapro (Fourier coefficients of radial and circular projection). As características positivas destes algoritmos são a invariância a mudanças de brilho/contraste e robustez a padrões repetitivos. Na primeira parte desta tese, tornamos Ciratefi invariante a transformações afins, obtendo Aciratefi (Affine-ciratefi). Construímos um banco de imagens para comparar este algoritmo com Asift (Affine-scale invariant feature transform) e Aforapro (Affine-forapro). Asift é considerado atualmente o melhor algoritmo de casamento de imagens invariante afim, e Aforapro foi proposto em nossa dissertação de mestrado. Nossos resultados sugerem que Aciratefi supera Asift na presença combinada de padrões repetitivos, mudanças de brilho/contraste e mudanças de pontos de vista. Na segunda parte desta tese, construímos um algoritmo para filtrar casamentos de pontos-chaves, baseado num conceito que denominamos de coerência geométrica. Aplicamos esta filtragem no bem-conhecido algoritmo Sift (scale invariant feature transform), base do Asift. Avaliamos a nossa proposta no banco de imagens de Mikolajczyk. As taxas de erro obtidas são significativamente menores que as do Sift original.

Comprehensive Validation Of A Measure Of Student School Engagement: A Pilot Study Of Middle School Students

Although it may sound reasonable that American education continues to be more effective at sending high school students to college, in a study conducted in 2009, The Council of the Great City Schools states that "slightly more than half of entering ninth grade students arrive performing below grade level in reading and math, while one in five entering ninth grade students is more than two years behind grade level...[and] 25% received support in the form of remedial literacy instruction or interventions" (Council of the Great City Schools, 2009). Students are distracted with technology (Lei & Zhao, 2005), family (Xu & Corno, 2003), medical illnesses (Nielson, 2009), learning disabilities and perhaps the most detrimental to academic success, the very lack of interest in school (Ruch, 1963). In a Johns Hopkins research study, Building a Graduation Nation - Colorado (Balfanz, 2008), warning signs were apparent years before the student dropped out of high school. The ninth grade was often referenced as a critical point that indicated success or failure to graduate high school. The research conducted by Johns Hopkins illustrates the problem: students who become disengaged from school have a much greater chance of dropping out of high school and not graduating. The first purpose of this study was to compare different measurement models of the Student School Engagement (SSE) using Factor Analysis to verify model fit with student engagement. The second purpose was to determine the extent to which the SSE instrument measures student school engagement by investigating convergent validity (via the SSE and Appleton, Christenson, Kim and Reschly's instrument and Fredricks, Blumenfeld, Friedel and Paris's instrument), discriminant validity (via Huebner's Student Life Satisfaction Survey) and criterion-related validity (via the sub-latent variables of Aspirations, Belonging and Productivity and student outcome measures such as achievement, attendance and discipline). Discriminant validity was established between the SSE and the Appleton, Christenson, Kim and Reschly's model and Fredricks, Blumenfeld, Friedel and Paris's (2005) Student Engagement Instruments (SEI). When confirming discriminant validity, the SSE's correlations were weak and statistically not significant, thus establishing discriminant validity with the SLSS. Criterion-related validity was established through structural equation modeling when the SSE was found to be a significant predictor of student outcome measures when both risk score and CSAP scores were used. The third purpose of this study was to assess the factorial invariance of the SSE instrument across gender to ensure the instrument is measuring the intended construct across different groups. Conclusively, configural, weak and metric invariances were established for the SSE as a non-significant change in chi-square indicating that all parameters including the error variances were invariant across groups of gender. Engagement is not a clearly defined psychological construct; it requires more research in order to fully comprehend its complexity. Hopefully, with parental and teacher involvement and a sense of community, student engagement can be nurtured to result in a meaningful attachment to school and academic success.

Intramolecular surfaces for vicinal proton–proton coupling constants 3JHH

Equations for the intramolecular surfaces of the 3JHH coupling constants in ethane, ethylene, and acetylene are formulated, and the corresponding coefficients are estimated from calculations at the DFT/B3LYP level. The chosen variables are changes in bond lengths, in the torsion angle φ between the coupled protons Ha and Hb, in bond angles, and in dihedral angles. The 3JHH surface of ethane is formulated as an extended Karplus equation with the coefficients of a truncated Fourier series on the torsion angle φ expanded as second-order Taylor series in the chosen variables taking into account the invariance of 3JHH under reflections and rotations of nuclear coordinates. Partial vibrational contributions from linear and square terms corresponding to changes in the geometry of the Ha − Ca − Cb − Hb fragment are important while those from cross terms are small with a few exceptions. The 3JHH surface of ethane is useful to predict contributions to 3JHH from changes in local geometry of derivatives but vibrational contributions are predicted less satisfactorily. The predicted values at the B3LYP/BS2 level of the 3JHH couplings (vibrational contributions at 300 K) from equilibrium geometries are 9.79 (−0.17) for acetylene, and 17.08 (1.93) and 10.73(0.93) for the trans and cis couplings of ethylene.

Le sentiment d'appartenance à l'école : un regard conceptuel, psychométrique et théorique

Parce qu’il est notamment lié à des facteurs de réussite scolaire et d’adaptation sociale (Eccles & Roeser, 2009; Finn, 1989; Janosz, Georges, & Parent, 1998), le sentiment d’appartenance des élèves est considéré comme étant un élément de première instance qui doit d’être développé et maintenu par les professionnels de l’éducation (MELS, 2012). L'objectif général visait à approfondir notre compréhension du sentiment d’appartenance à l’école. Pour répondre à cet objectif général, trois articles de recherche distincts ont été élaborés. Le premier article présente une analyse conceptuelle visant à clarifier la compréhension du concept de sentiment d’appartenance à l’école. La méthode conceptuelle privilégiée dans cet article est celle de Walker et Avant (2011). La recension des écrits et les référents empiriques répertoriés indiquent que ce concept est de nature multidimensionnelle. L’analyse des données indique quatre attributs définitionnels. L’élève doit : (1) ressentir une émotion positive à l’égard du milieu scolaire; (2) entretenir des relations sociales de qualité avec les membres du milieu scolaire; (3) s’impliquer activement dans les activités de la classe ou celles de l’école; (4) percevoir une certaine synergie (harmonisation), voir même une similarité, avec les membres de son groupe. À la suite de cette étude permettant de mieux comprendre le sentiment d’appartenance à l’école, le deuxième article visait à examiner la structure factorielle et l'invariance de l’instrument de mesure du sentiment d’appartenance Psychological Sense of School Membership (PSSM) au regard du sexe des élèves. Cette étude a été menée chez un échantillon composé de 766 filles et de 391 garçons de troisième secondaire. Les analyses factorielles confirmatoires ont indiqué une structure à trois facteurs : (1) la qualité des relations entre les élèves; (2) la qualité des relations entre les élèves et l’enseignant; ainsi que (3) le sentiment d’acceptation par le milieu. Les analyses factorielles multigroupes ont indiqué pour leur part que le PSSM est un instrument invariant chez les filles et les garçons de troisième secondaire. Finalement, le troisième article a été mené chez un échantillon de 4166 élèves de niveau secondaire afin d’examiner les processus psychologiques complexes s’opérant entre le sentiment d’appartenance et le rendement scolaire (Anderman & Freeman, 2004; Connell & et al., 1994; Roeser et al., 1996). Afin d’examiner ces processus psychologiques, quatre hypothèses issues du modèle de Freeman-Anderman ont été validées par le biais d’analyses acheminatoires : H1 Les affects positifs médiatisent partiellement et positivement l’effet du sentiment d’appartenance sur l’engagement comportemental; H2 Les affects positifs médiatisent partiellement et positivement l’effet du sentiment d’appartenance sur l’engagement affectif; H3 Les affects positifs médiatisent partiellement et positivement l’effet du sentiment d’appartenance sur l’engagement cognitif; H4 Les engagements affectif, cognitif et comportemental médiatisent partiellement et positivement l’effet du sentiment d’appartenance sur le rendement scolaire. Nos résultats appuient partiellement la première hypothèse de recherche tout en soutenant les hypothèses deux, trois et quatre. Spécifiquement, la relation entre le sentiment d’appartenance et l’engagement émotionnel montre davantage un effet direct qu’un effet indirect (H2). L’étude a produit des résultats similaires pour l’engagement cognitif (H3). Finalement, la relation entre le sentiment d’appartenance et le rendement scolaire indique un effet indirect plus grand qu’un effet direct (H4). À la lumière de ces résultats, des recommandations à l’intention des professionnels de l’éducation sont offertes en guise de conclusion.

Examining Gender Differences in Writing Skill with Latent Factor Modeling

Thesis (Master's)--University of Washington, 2016-06

Phobic anxiety in 11 nations: Part I: Dimensional constancy of the five-factor model

The Fear Survey Schedule-III (FSS-III) was administered to a total of 5491 students in Australia, East Germany, Great Britain, Greece, Guatemala, Hungary, Italy, Japan, Spain, Sweden, and Venezuela, and submitted to the multiple group method of confirmatory analysis (MGM) in order to determine the cross-national dimensional constancy of the five-factor model of self-assessed fears originally established in Dutch, British, and Canadian samples. The model comprises fears of bodily injury-illness-death, agoraphobic fears, social fears, fears of sexual and aggressive scenes, and harmless animals fears. Close correspondence between the factors was demonstrated across national samples. In each country, the corresponding scales were internally consistent, were intercorrelated at magnitudes comparable to those yielded in the original samples, and yielded (in 93% of the total number of 55 comparisons) sex differences in line with the usual finding (higher scores for females). In each country, the relatively largest sex differences were obtained on harmless animals fears. The organization of self-assessed fears is sufficiently similar across nations to warrant the use of the same weight matrix (scoring key) for the FSS-III in the different countries and to make cross-national comparisons feasible. This opens the way to further studies that attempt to predict (on an a priori basis) cross-national variations in fear levels with dimensions of national cultures. (C) 2002 Elsevier Science Ltd. All rights reserved.

Aspects of Markov Chains and Particle Systems

Thesis (Ph.D.)--University of Washington, 2016-06

Reflections on the statistical analysis of personality and norms in war, peace, and prejudice: Are deviant minorities the problem?

The compelling quality of the Global Change simulation study (Altemeyer, 2003), in which high RWA (right-wing authoritarianism)/high SDO (social dominance orientation) individuals produced poor outcomes for the planet, rests on the inference that the link between high RWA/SDO scores and disaster in the simulation can be generalized to real environmental and social situations. However, we argue that studies of the Person × Situation interaction are biased to overestimate the role of the individual variability. When variables are operationalized, strongly normative items are excluded because they are skewed and kurtotic. This occurs both in the measurement of predictor constructs, such as RWA, and in the outcome constructs, such as prejudice and war. Analyses of normal linear statistics highlight personality variables such as RWA, which produce variance, and overlook the role of norms, which produce invariance. Where both normative and personality forces are operating, as in intergroup contexts, the linear analysis generates statistics for the sample that disproportionately reflect the behavior of the deviant, antinormative minority and direct attention away from the baseline, normative position. The implications of these findings for the link between high RWA and disaster are discussed.