Particle shape and orientation in laser diffraction and static image analysis size distribution analysis of micrometer sized rectangular particles

Laser diffraction (LD) and static image analysis (SIA) of rectangular particles [United States Pharmacopeia, USP30-NF25, General Chapter <776>, Optical Miroscopy.] have been systematically studied. To rule out sample dispersion and particle orientation as the root cause of differences in size distribution profiles, we immobilize powder samples on a glass plate by means of a dry disperser. For a defined region of the glass plate, we measure the diffraction pattern as induced by the dispersed particles, and the 2D dimensions of the individual particles using LD and optical microscopy, respectively. We demonstrate a correlation between LD and SIA, with the scattering intensity of the individual particles as the dominant factor. In theory, the scattering intensity is related to the square of the projected area of both spherical and rectangular particles. In traditional LD the size distribution profile is dominated by the maximum projected area of the particles (A). The diffraction diameters of a rectangular particle with length L and breadth B as measured by the LD instrument approximately correspond to spheres of diameter ØL and ØB respectively. Differences in the scattering intensity between spherical and rectangular particles suggest that the contribution made to the overall LD volume probability distribution by each rectangular particle is proportional to A2/L and A2/B. Accordingly, for rectangular particles the scattering intensity weighted diffraction diameter (SIWDD) explains an overestimation of their shortest dimension and an underestimation of their longest dimension. This study analyzes various samples of particles whose length ranges from approximately 10 to 1000 μm. The correlation we demonstrate between LD and SIA can be used to improve validation of LD methods based on SIA data for a variety of pharmaceutical powders all with a different rectangular particle size and shape.

A new approach to real time traffic sign recognition based on colour information

The automatic interpretation of conventional traffic signs is very complex and time consuming. The paper concerns an automatic warning system for driving assistance. It does not interpret the standard traffic signs on the roadside; the proposal is to incorporate into the existing signs another type of traffic sign whose information will be more easily interpreted by a processor. The type of information to be added is profuse and therefore the most important object is the robustness of the system. The basic proposal of this new philosophy is that the co-pilot system for automatic warning and driving assistance can interpret with greater ease the information contained in the new sign, whilst the human driver only has to interpret the "classic" sign. One of the codings that has been tested with good results and which seems to us easy to implement is that which has a rectangular shape and 4 vertical bars of different colours. The size of these signs is equivalent to the size of the conventional signs (approximately 0.4 m2). The colour information from the sign can be easily interpreted by the proposed processor and the interpretation is much easier and quicker than the information shown by the pictographs of the classic signs

Estudi de nusos rígids prefabricats de formigó

Una de les principals limitacions de les edificacions industrialitzades resoltes amb prefabricat de formigó, és que els nusos que defineixen les interseccions dels seus elements són articulacions, provocant diferències importants del model estructural d’una obra resolta “in situ” on els nusos poden ser considerats encastaments elàstics. Aquest projecte proposa fer un pas més en aquesta limitació exposada i plantejar sistemes de nusos rígids, resolts amb el propi prefabricat que permetin variar el model de nusos articulats a rígids. Això augmentarà el grau d’hiperestaticitat de l’estructura, redistribuint els esforços en els seus elements, disminuint les deformacions i les longituds de vinclament dels pilars. L’objecte del treball és definir la millora que aporta la utilització de nusos rígids en el càlcul estructural, basada en una disminució de sol·licitacions al llarg del pilar, possibilitat de reducció de secció de pilars, reducció de l’armadura necessària en pilars i jàsseres, i finalment, un estalvi econòmic. Partirem d’un edifici d’habitatges d’ús residencial PB+3 de planta rectangular de 24·11 m i de 13,5 m d’altura. Aquesta tipologia d’edifici serà el punt de partida per al plantejament, sobre d’aquesta base, de 3 models estructurals diferents, amb la intenció de satisfer de forma raonada i minuciosa 3 plantejaments estàticament diferents

Nuevo disipador para edificación sismorresistente. 1ª parte: caracterización y modelos de predicción

A new energy dissipator, based on yielding of steel under shear response, has been developed and recently tested. It is H shaped and web stiffened. Yielding moin part is mechanized from one piece of rectangular shoped steel bar. Its conception let obtain thin and well-stiffened web cross sections without welded parts. Main experimentally obtained charecteristics are a yielding point near 0.5 mm of displacement, yielding loads between 14 kN and 20 kN and a dissipated energy, before damage appears in the web, from 10 kJ to 21 kJ. All tested specimens have developed large deformations without web buckling. Whe web degradation appers, flanges and stiffeners keep dissipating an important amount of energy. Proposed numerical models and simple mathematical expressions offer well correlated results when compared to the experimental ones

Weighted metric multidimensional scaling

This paper establishes a general framework for metric scaling of any distance measure between individuals based on a rectangular individuals-by-variables data matrix. The method allows visualization of both individuals and variables as well as preserving all the good properties of principal axis methods such as principal components and correspondence analysis, based on the singular-value decomposition, including the decomposition of variance into components along principal axes which provide the numerical diagnostics known as contributions. The idea is inspired from the chi-square distance in correspondence analysis which weights each coordinate by an amount calculated from the margins of the data table. In weighted metric multidimensional scaling (WMDS) we allow these weights to be unknown parameters which are estimated from the data to maximize the fit to the original distances. Once this extra weight-estimation step is accomplished, the procedure follows the classical path in decomposing a matrix and displaying its rows and columns in biplots.

Weighted Euclidean biplots

We construct a weighted Euclidean distance that approximates any distance or dissimilarity measure between individuals that is based on a rectangular cases-by-variables data matrix. In contrast to regular multidimensional scaling methods for dissimilarity data, the method leads to biplots of individuals and variables while preserving all the good properties of dimension-reduction methods that are based on the singular-value decomposition. The main benefits are the decomposition of variance into components along principal axes, which provide the numerical diagnostics known as contributions, and the estimation of nonnegative weights for each variable. The idea is inspired by the distance functions used in correspondence analysis and in principal component analysis of standardized data, where the normalizations inherent in the distances can be considered as differential weighting of the variables. In weighted Euclidean biplots we allow these weights to be unknown parameters, which are estimated from the data to maximize the fit to the chosen distances or dissimilarities. These weights are estimated using a majorization algorithm. Once this extra weight-estimation step is accomplished, the procedure follows the classical path in decomposing the matrix and displaying its rows and columns in biplots.

Phase-field model of Hele-Shaw flows in the high-viscosity contrast regime

A one-sided phase-field model is proposed to study the dynamics of unstable interfaces of Hele-Shaw flows in the high viscosity contrast regime. The corresponding macroscopic equations are obtained by means of an asymptotic expansion from the phase-field model. Numerical integrations of the phase-field model in a rectangular Hele-Shaw cell reproduce finger competition with the final evolution to a steady-state finger.

Confinement of discrete breathers in inhomogeneously profiled nonlinear chains

We investigate numerically the scattering of a moving discrete breather on a pair of junctions in a Fermi-Pasta-Ulam chain. These junctions delimit an extended region with different masses of the particles. We consider (i) a rectangular trap, (ii) a wedge shaped trap, and (iii) a smoothly varying convex or concave mass profile. All three cases lead to DB confinement, with the ease of trapping depending on the profile of the trap. We also study the collision and trapping of two DBs within the profile as a function of trap width, shape, and approach time at the two junctions. The latter controls whether one or both DBs are trapped.

Phase-field model for Hele-Shaw flows with arabitrary contrast II: numerical approach

We present a phase-field model for the dynamics of the interface between two inmiscible fluids with arbitrary viscosity contrast in a rectangular Hele-Shaw cell. With asymptotic matching techniques we check the model to yield the right Hele-Shaw equations in the sharp-interface limit, and compute the corrections to these equations to first order in the interface thickness. We also compute the effect of such corrections on the linear dispersion relation of the planar interface. We discuss in detail the conditions on the interface thickness to control the accuracy and convergence of the phase-field model to the limiting Hele-Shaw dynamics. In particular, the convergence appears to be slower for high viscosity contrasts.

First-passage times for non-Markovian processes: Correlated impacts on a free process

We develop a method to obtain first-passage-time statistics for non-Markovian processes driven by dichotomous fluctuations. The fluctuations themselves need not be Markovian. We calculate analytic first-passage-time distributions and mean first-passage times for exponential, rectangular, and long-tail temporal distributions of the fluctuations.

First-passage times for non-Markovian processes: Correlated impacts on bound processes

Our previously developed stochastic trajectory analysis technique has been applied to the calculation of first-passage time statistics of bound processes. Explicit results are obtained for linearly bound processes driven by dichotomous fluctuations having exponential and rectangular temporal distributions.

Hallazgos en el Casol de Puigcastellet (Folgueroles, Osona)

Depositadas en el Museo Episcopal de Vic, y procedentes del yacimiento del Casal de Puig Castellet, existen dos piezas que por sus características se pueden relacionar con el mundo de la orfebrería ibérica. El citado yacimiento se sitúa en un cerro amesetado de unos 763 m. de altitud, a la derecha de la carretera comarcal Vic-Vilanova de Sau, junto al Mas de L'Arumí y al Mas del Coll. Lat. 41 0 55' 40", Long. 60 02' 00". En el punto más alto de la altiplanicie del cerro se conservan los restos de un gran muro, construido a base de bloques y losas de piedra unidas en seco, de una longitud total de 64,93 m. Hacia levante presenta adosada una torre rectangular de 12,20 X 6,30 m., de ligero talud, sin ninguna abertura lateral; las piedras que cubren su parte superior impiden saber si se trataba de un cuerpo macizo, o bien, si su interior tenía alguna funcionalidad. Hacia poniente se abren diez habitaciones o cámaras de dimensiones regulares de 5 m. de ancho por 6,5 m. de profundidad media, separadas por muros de 1,30 m. de grosor medio. Algunas conservan restos de muros que cerrarían su parte delantera. La realización de la planta, así como parte de los trabajos de excavación, iniciados alrededor del año 1960, fueron efectuados por el grupo de arqueología del Museo de Vic.

Arquitectura domèstica al Bronze Final i Primera Edat del Ferro a Catalunya: habitacions construïdes amb materials duradors: estat de la qüestió

El present treball es proposa l'estudi fonnal de I'habitat construtt amb materials duradors a Catalunya durant el Bronze Final i la Primera Edat del Ferro, i se centra en l'aninisi dels materials i tecniques de construcció emprats, així com en l' estructura de la casa (planta, dimensions, superfície). Els elements definidors d'aquests habitacles en els períodes estudiats consisteixen en l'ús sistematic de la pedra i la terra com a materials de construcció i la disposició d'habitacions de planta rectangular compartint parets mitgeres, amb poca compartimentació interna i pocs agenc¡:aments al seu interior (llar, forn, banquetes). Les dimensions maximes d'aquestes habitacions no superen, per nonna general, els 20 metres quadrats. La unifonnitat d'aquestes construccions, unida a la poca compartimentació de l'espai, suggereix que ens trobem davant una arquitectura poc especialitzada, que podria correspondre a una societat amb una organització socio-política poc complexa.

Structure and spatial variability of Pinus uncinata Ram. growth forms at two contrasting treeline ecotones in the Spanish Pyrenees.

Describimos la distribución espacial de individuos de Pinus uncinata clasificados según su forma de crecimiento y tamaño en dos ecotonos poco perturbados del límite altitudinal del árbol situados en los Pirineos Centrales españoles (Ordesa, O; Tessó, T). En cada sitio situamos una parcela rectangular (30 140 m), que incluía los límites del árbol y del bosque, y cuyo lado mayor seguía el gradiente altitudinal. En ambos sitios, los individuos vivos eran más grandes y tenían un mayor número de cohortes de acículas pendiente abajo. La distribución de las clases de individuos según su forma de crecimiento y tamaño en el sitio O seguía una secuencia de mayor tamaño pendiente abajo, desde abundantes individuos policórmicos arbustivos (krummholz) con pocas cohortes de acículas (1-3) hasta individuos arbóreos mayores unicórmicos con varias cohortes de acículas (4-12). Por el contrario, los cambios estructurales en el ecotono del sitio T fueron graduales y no siguieron de forma tan clara dicha secuencia

Estructura de un ecotono bosque Subalpino-pastos alpinos (Las Cutas, Ordesa, Pirineos Centrales)

Describimos la estructura de un ecotono bosque subalpino-pastos alpinos en los Pirineos Centrales, que incluye los límites altitudinales del bosque y del árbol y está dominado por Pinus uncinata Ram. Para cada individuo de P. uncinata situado dentro de una parcela rectangular paralela a la pendiente anotamos su localización y medimos diversas variables estructurales o deforma (número y tipo de pies por individuo). Estos individuos fueron clasificados según su tamaño (adultos, jóvenes, vastagos y plántulas) y forma («krummholz» ¿individuos arbustivos policórmicos¿, krummholz con pies verticales). La estructura del ecotono se describió mediante los cambios de tamaño y forma de los individuos de P. uncinata a lo largo del ecotono y en relación con el clima de la zona, que se caracteriza por espesores de nieve máximos en primavera (abril) y fuertes vientos del N-NW-W. La mayoría de los individuos vivos eran krummholz, situándose por encima del límite del bosque y mostrando proximidad espacial con las plántulas. Los individuos grandes, verticales y unicórmicos predominaban en el bosque. Los cambios estructurales o deforma de los individuos eran bruscos a lo largo del ecotono. Los daños de las copas debidos al viento eran evidentes en individuos arbustivos y predominaban en las direcciones de viento más fuertes durante todo el año. La interacción nieve-viento permite explicar en parte la localización de este límite del bosque que puede considerarse un fenómeno local. La situación espacial de las distintas clases de individuos, la interacción espacial entre plántulas y krummholz más los cambios deforma de crecimiento (de arbustiva a arbórea o viceversa) pueden modificar la respuesta de estas poblaciones de P uncinata a cambios climáticos.