934 resultados para Orthogonal polynomials on the real line
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Background: The causes of death on long-term mortality after acute kidney injury (AKI) have not been well studied. The purpose of the study was to evaluate the role of comorbidities and the causes of death on the long-term mortality after AKI. Methodology/Principal Findings: We retrospectively studied 507 patients who experienced AKI in 2005-2006 and were discharged free from dialysis. In June 2008 (median: 21 months after AKI), we found that 193 (38%) patients had died. This mortality is much higher than the mortality of the population of Sao Paulo City, even after adjustment for age. A multiple survival analysis was performed using Cox proportional hazards regression model and showed that death was associated with Khan's index indicating high risk [adjusted hazard ratio 2.54 (1.38-4.66)], chronic liver disease [1.93 (1.15-3.22)], admission to non-surgical ward [1.85 (1.30-2.61)] and a second AKI episode during the same hospitalization [1.74 (1.12-2.71)]. The AKI severity evaluated either by the worst stage reached during AKI (P=0.20) or by the need for dialysis (P=0.12) was not associated with death. The causes of death were identified by a death certificate in 85% of the non-survivors. Among those who died from circulatory system diseases (the main cause of death), 59% had already suffered from hypertension, 34% from diabetes, 47% from heart failure, 38% from coronary disease, and 66% had a glomerular filtration rate <60 previous to the AKI episode. Among those who died from neoplasms, 79% already had the disease previously. Conclusions: Among AKI survivors who were discharged free from dialysis the increased long-term mortality was associated with their pre-existing chronic conditions and not with the severity of the AKI episode. These findings suggest that these survivors should have a medical follow-up after hospital discharge and that all efforts should be made to control their comorbidities.
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We investigated the effects of texture gradient and the position of test stimulus in relation to the horizon on the perception of relative sizes. By using the staircase method, 50 participants adjusted the size of a bar presented above, below or on the horizon as it could be perceived in the same size of a bar presented in the lower visual field. Stimuli were presented during 100ms on five background conditions. Perspective gradient contributed more to the overestimation of relative sizes than compression gradient. The sizes of the objects which intercepted the horizon line were overestimated. Visual system was very effective in extracting information from perspective depth cues, making it even during very brief exposure.
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In this paper, a procedure for the on-line process control of variables is proposed. This procedure consists of inspecting the m-th item from every m produced items and deciding, at each inspection, whether the process is out-of-control. Two sets of limits, warning (µ0 ± W) and control (µ0 ± C), are used. If the value of the monitored statistic falls beyond the control limits or if a sequence of h observations falls between the warning limits and the control limits, the production is stopped for adjustment; otherwise, production goes on. The properties of an ergodic Markov chain are used to obtain an expression for the average cost per item. The parameters (the sampling interval m, the widths of the warning, the control limits W and C(W < C), and the sequence length (h) are optimized by minimizing the cost function. A numerical example illustrates the proposed procedure.
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Erneute Untersuchungen der mesozoischen Faltenstruktur des Otago Schiefergürtels, Südinsel, Neuseeland, zeigen, dass diese aus zwei aufeinander folgenden, ähnlichen, asymmetrischen, offenen bis mäßig engen Großfaltengenerationen im km- Größenbereich besteht anstatt aus den vorher angenommenen Decken- oder Halbfalten. Hauptproblem der Großfaltenstruktur sind Zonen von durchgreifender Boudinage, die in der Nähe der Großfaltenscharniere entstanden sind. Vorherige Bearbeiter deuteten diese Zonen als 'starke Verformungszonen' oder Überschiebungszonen. Diese Arbeit zeigt, dass in diesen Zonen nur durch die asymmetrische Faltung die unteren liegenden Schenkel der Großfalten boudiniert und somit häufig die ansonsten typischen Faltenstrukturen des liegenden Schenkels einer symmetrischen Faltung überprägt wurden. Ein weiteres Problem dieser mesozoischen Großfaltenstruktur ist die Überprägung einer Faltengeneration auf eine frühere. Weil die Verkürzungsrichtung der überprägenden Faltengeneration nicht subparallel zur älteren Faltenachse ist, sondern einen Winkel von rund 30 Grad einschließt, ist ein Wechsel von orthogonalen zu koaxialen Interferenzmustern der Kleinfalten beobachtbar. Folglich ist die Orientierung der Scheitellinie einer überprägenden und überprägten Kleinfalte nicht unbedingt subparallel zur Orientierung der Faltenachse der Großfalte trotz zylindrischer Faltung. Im letzten Teil dieser Arbeit wird die Überprägung der mesozoischen Großfaltenstruktur durch das känozoisch entstandene, transpressionale Alpine Störungssystem, das einen zweiseitigen Falten- und Überschiebungsgürtel im Otago und im Nordwesten anschließenden Alpinen Schiefergürtel bildet, beschrieben.
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Two of the indicators of the UN Millennium Development Goals ensuring environmental sustainability are energy use and per capita carbon dioxide emissions. The increasing urbanization and increasing world population may require increased energy use in order to transport enough safe drinking water to communities. In addition, the increase in water use would result in increased energy consumption, thereby resulting in increased green-house gas emissions that promote global climate change. The study of multiple Municipal Drinking Water Distribution Systems (MDWDSs) that relates various MDWDS aspects--system components and properties--to energy use is strongly desirable. The understanding of the relationship between system aspects and energy use aids in energy-efficient design. In this study, components of a MDWDS, and/or the characteristics associated with the component are termed as MDWDS aspects (hereafter--system aspects). There are many aspects of MDWDSs that affect the energy usage. Three system aspects (1) system-wide water demand, (2) storage tank parameters, and (3) pumping stations were analyzed in this study. The study involved seven MDWDSs to understand the relationship between the above-mentioned system aspects in relation with energy use. A MDWDSs model, EPANET 2.0, was utilized to analyze the seven systems. Six of the systems were real and one was a hypothetical system. The study presented here is unique in its statistical approach using seven municipal water distribution systems. The first system aspect studied was system-wide water demand. The analysis involved analyzing seven systems for the variation of water demand and its impact on energy use. To quantify the effects of water use reduction on energy use in a municipal water distribution system, the seven systems were modeled and the energy usage quantified for various amounts of water conservation. It was found that the effect of water conservation on energy use was linear for all seven systems and that all the average values of all the systems' energy use plotted on the same line with a high R 2 value. From this relationship, it can be ascertained that a 20% reduction in water demand results in approximately a 13% savings in energy use for all seven systems analyzed. This figure might hold true for many similar systems that are dominated by pumping and not gravity driven. The second system aspect analyzed was storage tank(s) parameters. Various tank parameters: (1) tank maximum water levels, (2) tank elevation, and (3) tank diameter were considered in this part of the study. MDWDSs use a significant amount of electrical energy for the pumping of water from low elevations (usually a source) to higher ones (usually storage tanks). The use of electrical energy has an effect on pollution emissions and, therefore, potential global climate change as well. Various values of these tank parameters were modeled on seven MDWDSs of various sizes using a network solver and the energy usage recorded. It was found that when averaged over all seven analyzed systems (1) the reduction of maximum tank water level by 50% results in a 2% energy reduction, (2) energy use for a change in tank elevation is system specific, and (2) a reduction of tank diameter of 50% results in approximately a 7% energy savings. The third system aspect analyzed in this study was pumping station parameters. A pumping station consists of one or more pumps. The seven systems were analyzed to understand the effect of the variation of pump horsepower and the number of booster stations on energy use. It was found that adding booster stations could save energy depending upon the system characteristics. For systems with flat topography, a single main pumping station was found to use less energy. In systems with a higher-elevation neighborhood, however, one or more booster pumps with a reduced main pumping station capacity used less energy. The energy savings for the seven systems was dependent on the number of boosters and ranged from 5% to 66% for the analyzed five systems with higher elevation neighborhoods (S3, S4, S5, S6, and S7). No energy savings was realized for the remaining two flat topography systems, S1, and S2. The present study analyzed and established the relationship between various system aspects and energy use in seven MDWDSs. This aids in estimating the amount of energy savings in MDWDSs. This energy savings would ultimately help reduce Greenhouse gases (GHGs) emissions including per capita CO 2 emissions thereby potentially lowering the global climate change effect. This will in turn contribute to meeting the MDG of ensuring environmental sustainability.
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Can the early identification of the species of staphylococcus responsible for infection by the use of Real Time PCR technology influence the approach to the treatment of these infections? ^ This study was a retrospective cohort study in which two groups of patients were compared. The first group, ‘Physician Aware’ consisted of patients in whom physicians were informed of specific staphylococcal species and antibiotic sensitivity (using RT-PCR) at the time of notification of the gram stain. The second group, ‘Physician Unaware’ consisted of patients in whom treating physicians received the same information 24–72 hours later as a result of blood culture and antibiotic sensitivity determination. ^ The approach to treatment was compared between ‘Physician Aware’ and ‘Physician Unaware’ groups for three different microbiological diagnoses—namely MRSA, MSSA and no-SA (or coagulase negative Staphylococcus). ^ For a diagnosis of MRSA, the mean time interval to the initiation of Vancomycin therapy was 1.08 hours in the ‘Physician Aware’ group as compared to 5.84 hours in the ‘Physician Unaware’ group (p=0.34). ^ For a diagnosis of MSSA, the mean time interval to the initiation of specific anti-MSSA therapy with Nafcillin was 5.18 hours in the ‘Physician Aware’ group as compared to 49.8 hours in the ‘Physician Unaware’ group (p=0.007). Also, for the same diagnosis, the mean duration of empiric therapy in the ‘Physician Aware’ group was 19.68 hours as compared to 80.75 hours in the ‘Physician Unaware’ group (p=0.003) ^ For a diagnosis of no-SA or coagulase negative staphylococcus, the mean duration of empiric therapy was 35.65 hours in the ‘Physician Aware’ group as compared to 44.38 hours in the ‘Physician Unaware’ group (p=0.07). However, when treatment was considered a categorical variable and after exclusion of all cases where anti-MRS therapy was used for unrelated conditions, only 20 of 72 cases in the ‘Physician Aware’ group received treatment as compared to 48 of 106 cases in the ‘Physician Unaware’ group. ^ Conclusions. Earlier diagnosis of MRSA may not alter final treatment outcomes. However, earlier identification may lead to the earlier institution of measures to limit the spread of infection. The early diagnosis of MSSA infection, does lead to treatment with specific antibiotic therapy at an earlier stage of treatment. Also, the duration of empiric therapy is greatly reduced by early diagnosis. The early diagnosis of coagulase negative staphylococcal infection leads to a lower rate of unnecessary treatment for these infections as they are commonly considered contaminants. ^
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The use of ion microbeams as probes for computedtomography has proven to be a powerful tool for the three-dimensional characterization of specimens a few tens of micrometers in size. Compared to other types of probes, the main advantage is that quantitative information about mass density and composition can be obtained directly, using specific reconstruction codes. At the Centre d’Etudes Nucléaires de Bordeaux Gradignan (CENBG), this technique was initially developed for applications in cellular biology. However, the observation of the cell ultrastructure requires a sub-micron resolution. The construction of the nanobeamline at the Applications Interdisciplinaires des Faisceaux d’Ions en Region Aquitaine (AIFIRA) irradiation facility has opened new perspectives for such applications. The implementation of computedtomography on the nanobeamline of CENBG has required a careful design of the analysis chamber, especially microscopes for precise sample visualization, and detectors for scanning transmission ion microscopy (STIM) and for particle induced X-ray emission (PIXE). The sample can be precisely positioned in the three directions X, Y, Z and a stepper motor coupled to a goniometer ensures the rotational motion. First images of 3D tomography were obtained on a reference sample containing microspheres of certified diameter, showing the good stability of the beam and the sample stage, and the precision of the motion.
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This paper presents a new form of the one-dimensional Reynolds equation for lubricants whose rheological behaviour follows a modified Carreau rheological model proposed by Bair. The results of the shear stress and flow rate obtained through a new Reynolds–Carreau equation are shown and compared with the results obtained by other researchers.
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An innovative dissipative multi-beam network for triangular arrays of three radiating elements is proposed. This novel network provides three orthogonal beams in θ0 elevation angle and a fourth one in the broadside steering direction. The network is composed of 90º hybrid couplers and fixed phase shifters. In this paper, a relation between network components, radiating element distance and beam steering directions will be shown. Application of the proposed dissipative network to the triangular cells of three radiating elements that integrate the intelligent antenna GEODA will be exhibited. This system works at 1.7 GHz, it has a 60º single radiating element beamwidth and a distance between array elements of 0.57 λ. Both beam patterns, theoretical and simulated, obtained with the network will be depicted. Moreover, the whole system, dissipative network built with GEODA cell array, has been measured in the anechoic chamber of the Radiation Group of Technical University of Madrid, demonstrating expected performance.
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This paper proposes a new method, oriented to image real-time processing, for identifying crop rows in maize fields in the images. The vision system is designed to be installed onboard a mobile agricultural vehicle, that is, submitted to gyros, vibrations, and undesired movements. The images are captured under image perspective, being affected by the above undesired effects. The image processing consists of two main processes: image segmentation and crop row detection. The first one applies a threshold to separate green plants or pixels (crops and weeds) from the rest (soil, stones, and others). It is based on a fuzzy clustering process, which allows obtaining the threshold to be applied during the normal operation process. The crop row detection applies a method based on image perspective projection that searches for maximum accumulation of segmented green pixels along straight alignments. They determine the expected crop lines in the images. The method is robust enough to work under the above-mentioned undesired effects. It is favorably compared against the well-tested Hough transformation for line detection.
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¿La gente utiliza la bicicleta porque les gusta? ¿O es el propio hecho de usarla la razón por la que les gusta hacerlo? ¿O es una combinación de las dos? Este tipo de preguntas reflejan un problema que se puede llamar ‘el círculo de la consideración de la bicicleta’: para poder considerar el uso de la bicicleta en el conjunto de posibles opciones a escoger, un individuo tiene que tener creencias positivas sobre ella, sobre todo en el caso de ‘contextos de bajo uso’. Pero parece poco probable que se formen creencias positivas cuando hay bajos niveles de familiaridad al modo, es decir, con un bajo conocimiento de sus características, su funcionamiento y del imaginario asociado; al mismo tiempo, la familiaridad irá alcanzando niveles más altos conforme aumente el tiempo y la intensidad con la que se utilice la bicicleta a lo largo de la vida de los individuos. El problema parece un circulo recursivo huevo-gallina, ya que es difícil que alguien considere el usar la bicicleta en lugares donde su uso es una práctica poco extendida. En estos lugares, y dentro del conglomerado actual de tecnologías, infraestructuras, reglas, prácticas de los usuarios y preferencias culturales que se han desarrollado alrededor del automóvil (el actual "sistema socio-técnico de la movilidad urbana", Urry 2004; Geels 2005, 2012) usar la bicicleta es considerado por la mayoría como algo difícil, inseguro, y anormal. Como consecuencia, los procesos de aumento de familiaridad con la bicicleta permanecen inactivos. La tesis asume la familiaridad como una fuente de información e influencia sobre las creencias positivas sobre la bicicleta. En ‘contextos de bajo uso’, sin familiaridad al uso de la bicicleta, estas creencias sólo pueden surgir de ciertos rasgos personales (afecto, valores, identidades, voluntad, etc.). Tal como han evidenciado investigaciones recientes, en estos contextos la posibilidad de considerar el uso de la bicicleta (y su eventual adopción), se circunscribe principalmente a los ‘entusiastas’, a los que están dispuestos a “ir contra corriente” (Horton & Parkin 2012), limitando el alcance de las políticas de promoción. La investigación llevada a cabo en esta tesis ofrece un nuevo enfoque al problema del ‘círculo de la consideración de la bicicleta’. Para ello, plantea un modelo en el que se introduce a la familiaridad como un constructo que media entre el comportamiento final –qué modo de transporte elige el individuo– y el conjunto de constructos psicosociales que preceden la elección modal (creencias y actitudes). La familiaridad al uso de la bicicleta se concibe como una medida de la intensidad relativa del uso de una bicicleta, real y percibida (basándose en Diana & Mokhtarian 2009) que puede formarse de manera distinta según sus fines (utilitarios o no utilitarios). El constructo familiaridad con el modo bicicleta está relacionado con la cantidad de tiempo, la intensidad y la regularidad con la que un individuo ha hecho uso de la bicicleta a lo largo de su vida. La familiaridad se concibe así como una condición que permite definir adecuadamente el contexto en el que se toman las decisiones modales de los individuos, en línea con investigaciones que postulan patrones de causalidad alternativos entre los procesos cognitivos de elección y los comportamientos modales (Tardif 1977; Dobson et al. 1978; Golob et al. 1979; Golob 2001; Schwanen et al. 2012; Diana et al. 2009; Vij & Walker 2014). De este modo se plantea que el esquema unidireccional actitudesconductas podría no ser completamente valido en el caso de la consideración de la bicicleta, explorando la hipótesis que sean las propias conductas a influenciar la formación de las actitudes. En esta tesis, el constructo de familiaridad se articula teórica y metodológicamente, y se emplea un instrumento de diseño transversal para contrastarlo. Los resultados de una encuesta telefónica a una muestra representativa de 736 personas en la ciudad española de Vitoria-Gasteiz proveen evidencias que sugieren –aunque de forma preliminar– que la familiaridad juega un papel de mediadora en la relación entre la utilización de la bicicleta y la formación de las creencias y actitudes hacia el su uso. La tesis emplea mediciones para cada individuo con respecto tanto a su consideración como a su familiaridad al uso de la bicicleta. Éstas mediciones se definen haciendo uso del análisis factorial exploratorio (AFE). Por un lado, el AFE arroja una estructura del constructo ‘consideración’ formada por cuatro factores, tres de ellos asociados con elementos positivos y uno con elementos negativos: (1) de cómo el uso de la bicicleta se considera verde e inteligente (G&S); (2) sobre su carácter agradable y adecuado (P&S); (3) sobre su eficacia como modo de transporte para ir al trabajo (E); y (4) sobre los principales inconvenientes de su uso, es decir, las dificultades implícitas (sudoración y estar expuestos a las inclemencias del tiempo) y la sensación de inseguridad que genera (sentirse en riesgo de accidentes y estresarse por el tráfico) (D&T). Por otro lado, la familiaridad al uso de la bicicleta se mide en dos distintas variables ordinales (según se base en el uso utilitario o no utilitario). Como resultado, se puede hablar de que cada individuo se encuentra en una de las siguientes cuatro etapas en orden creciente hacia una familiaridad completa al modo: no familiarizados; apenas familiarizados; moderadamente familiarizados; totalmente familiarizados. El análisis de los datos de los cuatro grupos de sujetos de la muestra, –definidos de acuerdo con cada una de las cuatro etapas de familiaridad definidas– ha evidenciado la existencia de diferencias intergrupo estadísticamente significativas, especialmente para la medida relacionada con el uso utilitario. Asimismo, las personas en los niveles inferiores de familiaridad tienen una consideración menor de los aspectos positivos de la bicicleta y por el contrario presentan preocupaciones mayores hacia las características negativas respecto a aquellas personas que están más familiarizados en el uso utilitario. El uso, aunque esporádico, de una bicicleta para fines utilitarios (ir de compras, hacer recados, etc.), a diferencia de no usarla en absoluto, aparece asociado a unas puntuaciones significativamente más altas en los tres factores positivos (G&S, E, P&S), mientras que parece estar asociado a puntuaciones significativamente más bajas en el factor relacionado con las características negativas (D&U). Aparecen resultados similares cuando se compara un uso moderado, con uno esporádico, sobre todo con respecto a la consideración de las características negativas. Los resultados de esta tesis están en línea con la literatura anterior que se ha basado en variables similares (por ejemplo, de Geus et al. 2008; Stinson & Bhat 2003, 2004; Hunt & Abraham 2006; y van Bekkum et al. 2011a, entre otros), pero en este estudio las diferencias se observan en un contexto de bajo uso y se derivan de un análisis de toda la población de personas que se desplazan a su lugar de trabajo o estudio, lo cual eleva la fiabilidad de los resultados. La posibilidad de que unos niveles más altos de uso de la bicicleta para fines utilitarios puedan llevar a niveles más positivos de su consideración abre el camino a implicaciones teóricas y de políticas que se discuten en la tesis. Con estos resultados se argumenta que el enfoque convencional basado en el cambio de actitudes puede no ser el único y prioritario para lograr cambios a la hora de fomentar el uso de la bicicleta. Los resultados apuntan al potencial de otros esquemas de causalidad, basados en patrones de influencia más descentrados y distribuidos, y que adopten una mirada más positiva hacia los hábitos de transporte, conceptualizándolos como “inteligencia encarnada y pre-reflexiva” (Schwanen et al. 2012). Tales esquemas conducen a un enfoque más práctico para la promoción del uso de la bicicleta, con estrategias que podrían basarse en acciones de ‘degustación’ de su uso o de mayor ‘exposición’ a su uso. Is the fact that people like cycling the reason for them to cycle? Or is the fact that they do cycle the reason for them to like cycling? Or is a combination of the two? This kind of questions reflect a problem that can be called ‘the cycle of cycling consideration’: in order to consider cycling in the set of possible options to be chosen, an individual needs to have positive beliefs about it, especially in the case of ‘low-cycling contexts’. However, positive beliefs seem unlikely to be formed with low levels of mode familiarity, say, with a low acquaintance with mode features, functioning and images; at the same time, higher levels of familiarity are likely to be reached if cycling is practised over relative threshold levels of intensities and extensively across individual life courses. The problem looks like a chicken-egg recursive cycle, since the latter condition is hardly met in places where cycling is little practised. In fact, inside the current conglomerate of technologies, infrastructures, regulations, user practices, cultural preferences that have grown around the automobile (the current “socio-technical system of urban mobility”, Urry 2004; Geels 2005, 2012) cycling is commonly considered as difficult, unsafe, and abnormal. Consequently, the processes of familiarity forming remain disabled, and, as a result, beliefs cannot rely on mode familiarity as a source of information and influence. Without cycling familiarity, origins of positive beliefs are supposed to rely only on personal traits (affect, values, identities, willingness, etc.), which, in low-cycling contexts, confine the possibility of cycling consideration (and eventual adoption) mainly to ‘cycling enthusiasts’ who are willing to “go against the grain” (Horton & Parkin 2012), as it results from previous research. New research conducted by author provides theoretical insights for a different approach of the cycling consideration problem in which the presence of the new construct of cycling familiarity is hypothesised in the relationship between mode choice behaviour and the set of psychosocial constructs that are supposed to precede it (beliefs and attitudes). Cycling familiarity is conceived as a measure of the real and the perceived relative intensity of use of a bicycle (building upon Diana & Mokhtarian 2009) which may be differently formed for utilitarian or non-utilitarian purposes. The construct is assumed to be related to the amount of time, the intensity and the regularity an individual spends in using a bicycle for the two distinct categories of purposes, gaining in this way a certain level of acquaintance with the mode. Familiarity with a mode of transport is conceived as an enabling condition to properly define the decision-making context in which individual travel mode choices are taken, in line with rather disperse research efforts postulating inverse relationships between mode behaviours and mode choices (Tardiff 1977; Dobson et al. 1978; Golob et al. 1979; Golob 2001; Schwanen et al. 2012; Diana et al. 2009; Vij & Walker 2014). The new construct is built theoretically and methodologically, and a cross-sectional design instrument is employed. Results from a telephone survey in a representative sample of 736 commuters in the Spanish city of Vitoria-Gasteiz, provide suggestive –although preliminary– evidence on the role of mode familiarity as a mediator in the relationship between cycling use and the formation of beliefs and attitudes toward cycling. Measures of both cycling consideration and cycling familiarity are defined making use of exploratory factor analysis. On the one hand, four distinct cycling consideration measures are created, based on attitude expressions on four underlying factors relating to the cycling commuting behaviour: on how cycling commuting is considered green and smart (G&S); on its pleasant and suited character (P&S); on its efficiency as a mode of transport for commuting (E); and on the main drawbacks of its use, namely the difficulties implied (sweating and being exposed to adverse weather conditions) and the sense of unsafety it generates (feeling at risk of accidents and getting stressed by traffic) (D&U). On the other hand, dimensions of cycling familiarity are measured on two distinct ordinal variables (whether based on the utilitarian or non-utilitarian use) comprising four stages to a complete mode familiarity: not familiar; barely familiar; moderately familiar; fully familiar. For each of the four stages of cycling familiarity defined, statistical significant differences are found, especially for the measure related to the utilitarian use. Consistently, people at the lower levels of cycling familiarity have a lower consideration of the positive aspects of cycling and conversely they exhibit higher concerns towards the negative characteristics than those individuals that are more familiar in utilitarian cycling. Using a bicycle occasionally for practical purposes, as opposed to not using it at all, seems associated to significant higher scores in the three positive factors (G&S, E, P&S) while it appears to be associated to significant lower scores in the factor relating with the negative characteristics of cycling commuting (D&U). A same pattern also occurs with a moderate use, as opposed to an occasional one, especially for the consideration of the negative characteristics. The results are in line with previous literature based on similar variables (e.g. de Geus et al. 2008; Stinson & Bhat 2003, 2004; Hunt & Abraham 2006; and van Bekkum et al. 2011a, among others), but in this study the differences are observed in a low-cycling context and derive from an analysis of the entire population of commuters, which rises the reliability of results.
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The mathematical underpinning of the pulse width modulation (PWM) technique lies in the attempt to represent “accurately” harmonic waveforms using only square forms of a fixed height. The accuracy can be measured using many norms, but the quality of the approximation of the analog signal (a harmonic form) by a digital one (simple pulses of a fixed high voltage level) requires the elimination of high order harmonics in the error term. The most important practical problem is in “accurate” reproduction of sine-wave using the same number of pulses as the number of high harmonics eliminated. We describe in this paper a complete solution of the PWM problem using Padé approximations, orthogonal polynomials, and solitons. The main result of the paper is the characterization of discrete pulses answering the general PWM problem in terms of the manifold of all rational solutions to Korteweg-de Vries equations.