976 resultados para Geometric figures
Responses of the geometric indices of heart rate variability to the active orthostatic test in women
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OBJECTIVES: The effects of the orthostatic test on the cardiovascular system have been investigated, but there are no data on the behavior of the geometric indices of heart rate variability. We evaluated the effects of the active orthostatic test on the geometric indices of heart rate variability in women. METHOD: The study was performed on 12 healthy women between ages 18 and 30. For the analysis of heart rate variability, heart rate was recorded beat-to-beat. The RR intervals were transformed into geometric figures, and from these we calculated the triangular index, the triangular interpolation of RR intervals, the SD1, SD2 indexes and the SD1/SD2 ratio, which were obtained from the Poincaré plot. Visual analysis of the plot was also performed. For the test, participants quickly stood up from a seated position in 3 seconds or less, and remained standing still for 15 minutes. Heart rate variability samples were collected at four moments: rest, 0-5 minutes, 5-10 minutes and 10-15 minutes at standing position. RESULTS: The triangular index, the triangular interpolation of RR intervals, the SD1 and SD2 indices were reduced (p < 0.05) at 10-15 minutes after the volunteers stood up from seated position. The SD1/SD2 ratio was decreased at 0-15 minutes after the subjects changed from seated to orthostatic position.
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A identificação e a avaliação de crianças com desenvolvimento atípico configuram um processo muito importante para subsidiar as estratégias de ensino voltadas para a promoção do potencial de aprendizagem. O interesse em relação ao prognóstico de crianças com deficiência tem impulsionado o desenvolvimento de novas tecnologias e pesquisas relacionadas à avaliação, prevenção e intervenção. Nesse contexto, torna-se relevante verificar com instrumentos adequados indicadores linguísticos, cognitivos e comportamentais, para assim traçar metas a partir daquilo que as crianças podem aprender. Dessa forma, esta pesquisa teve por objetivo verificar se a avaliação assistida informatizada se apresenta como uma modalidade de diagnóstico mais prescritivo do desenvolvimento cognitivo, quando comparada à avaliação psicométrica, na aplicação em crianças com deficiência. Na modalidade assistida há ajuda do examinador para conduzir a criança a um melhor nível de desempenho cognitivo. Participaram 11 crianças que frequentam uma instituição de atendimento clínico, em saúde, para crianças com deficiência, na Grande Vitória. Na avaliação psicométrica foram utilizados a Escala de Maturidade Mental Colúmbia computadorizada – Colúmbiacomp e o Teste de Vocabulário por Imagens Peabody - TVIPcomp. Na avaliação assistida informatizada foram aplicadas três provas voltadas para as habilidades de classificação e raciocínio analógico: Exclusão de Objetos, Exclusão de Figuras Geométricas e Jogo de Analogia de Figuras, no ambiente informatizado SINDAPSI. Protocolos de registro de fatores afetivo-motivacionais e de operações cognitivas foram utilizados durante as tarefas assistidas. Na avaliação do comportamento, o Child Behavior Checklist – CBCL foi respondido pelas mães. Dados documentais e dos instrumentos foram submetidos à análise estatística descritiva para verificar o desempenho das crianças nas duas formas de avaliação informatizada (psicométrica e assistida). Nos testes psicométricos, 64% das crianças alcançaram índice “abaixo da média” no TVIPcomp, e 55% “médio-inferior” no Colúmbiacomp. Em relação ao perfil de desempenho cognitivo, na Prova de Exclusão de Objetos computadorizada 55% das crianças foram avaliadas como “não-mantenedoras”. Na Prova de Exclusão de Figuras Geométricas computadorizada 55% da amostra foi classificada no perfil “alto-escore”, e no Jogo de Analogias de Figuras computadorizado 45% apresentou o perfil “ganhador”. A amostra demonstrou níveis de dificuldade na realização dos testes,tanto na modalidade psicométrica quanto assistida. Contudo, o desempenho nos testes assistidos foi relativamente melhor, evidenciando que o grupo se beneficiou da mediação,implementada na fase de assistência, para melhorar as habilidades cognitivas. Além disso, a apresentação informatizada dos testes apresentou-se como fator motivador para a realização e persistência nas tarefas.
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This paper is research oriented and pretends to contribute toward giving empirical evidence about how students develop their reasoning and how they achieved to a proof construction in school context. Its main theme is epistemology. It describes the way in which four students in 9th Grade explored a task related with the discovery of symmetry axes in various geometric figures. The proof constructed by students had essentially an explaining function and it was related with the symmetry axes of regular polygons. The teacher’s role in meaning negotiation of the proof and its need is described through illustrative episodes. The paper presents part of a study which purpose is to analyse the nature of mathematical proof in classroom, its role and the nature of the relationship between the construction of a proof and the social interactions. Assuming a social perspective, attention is focussed on the social construction of knowledge and on the structuring resources that shape mathematical experience. The study’s methodology has an interpretative nature. One outcome of the study discussed here is that students develop first a practical understanding with no awareness of the reasons founding mathematical statements and after a theoretical one leading them to a proof elaboration.
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Relatório de estágio de mestrado em Educação Pré-Escolar e Ensino do 1ºCiclo do Ensino Básico
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Die vorliegende Arbeit beschäftigt sich mit den Einflüssen visuell wahrgenommener Bewegungsmerkmale auf die Handlungssteuerung eines Beobachters. Im speziellen geht es darum, wie die Bewegungsrichtung und die Bewegungsgeschwindigkeit als aufgabenirrelevante Reize die Ausführung von motorischen Reaktionen auf Farbreize beeinflussen und dabei schnellere bzw. verzögerte Reaktionszeiten bewirken. Bisherige Studien dazu waren auf lineare Bewegungen (von rechts nach links und umgekehrt) und sehr einfache Reizumgebungen (Bewegungen einfacher geometrischer Symbole, Punktwolken, Lichtpunktläufer etc.) begrenzt (z.B. Ehrenstein, 1994; Bosbach, 2004, Wittfoth, Buck, Fahle & Herrmann, 2006). In der vorliegenden Dissertation wurde die Gültigkeit dieser Befunde für Dreh- und Tiefenbewegungen sowie komplexe Bewegungsformen (menschliche Bewegungsabläufe im Sport) erweitert, theoretisch aufgearbeitet sowie in einer Serie von sechs Reaktionszeitexperimenten mittels Simon-Paradigma empirisch überprüft. Allen Experimenten war gemeinsam, dass Versuchspersonen an einem Computermonitor auf einen Farbwechsel innerhalb des dynamischen visuellen Reizes durch einen Tastendruck (links, rechts, proximal oder distal positionierte Taste) reagieren sollten, wobei die Geschwindigkeit und die Richtung der Bewegungen für die Reaktionen irrelevant waren. Zum Einfluss von Drehbewegungen bei geometrischen Symbolen (Exp. 1 und 1a) sowie bei menschlichen Drehbewegungen (Exp. 2) zeigen die Ergebnisse, dass Probanden signifikant schneller reagieren, wenn die Richtungsinformationen einer Drehbewegung kompatibel zu den räumlichen Merkmalen der geforderten Tastenreaktion sind. Der Komplexitätsgrad des visuellen Ereignisses spielt dabei keine Rolle. Für die kognitive Verarbeitung des Bewegungsreizes stellt nicht der Drehsinn, sondern die relative Bewegungsrichtung oberhalb und unterhalb der Drehachse das entscheidende räumliche Kriterium dar. Zum Einfluss räumlicher Tiefenbewegungen einer Kugel (Exp. 3) und einer gehenden Person (Exp. 4) belegen unsere Befunde, dass Probanden signifikant schneller reagieren, wenn sich der Reiz auf den Beobachter zu bewegt und ein proximaler gegenüber einem distalen Tastendruck gefordert ist sowie umgekehrt. Auch hier spielt der Komplexitätsgrad des visuellen Ereignisses keine Rolle. In beiden Experimenten führt die Wahrnehmung der Bewegungsrichtung zu einer Handlungsinduktion, die im kompatiblen Fall eine schnelle und im inkompatiblen Fall eine verzögerte Handlungsausführung bewirkt. In den Experimenten 5 und 6 wurden die Einflüsse von wahrgenommenen menschlichen Laufbewegungen (freies Laufen vs. Laufbandlaufen) untersucht, die mit und ohne eine Positionsveränderung erfolgten. Dabei zeigte sich, dass unabhängig von der Positionsveränderung die Laufgeschwindigkeit zu keiner Modulation des richtungsbasierten Simon Effekts führt. Zusammenfassend lassen sich die Studienergebnisse gut in effektbasierte Konzepte zur Handlungssteuerung (z.B. die Theorie der Ereigniskodierung von Hommel et al., 2001) einordnen. Weitere Untersuchungen sind nötig, um diese Ergebnisse auf großmotorische Reaktionen und Displays, die stärker an visuell wahrnehmbaren Ereignissen des Sports angelehnt sind, zu übertragen.
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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
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Pós-graduação em Educação Matemática - IGCE
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Pós-graduação em Educação para a Ciência - FC
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Four seasons of excavations at Horvat Kur in the Galilee (250570/754485) have exposed the remains of a broadhouse synagogue from the Byzantine period. The building was entered through a portico on the west or a doorway on the south. The fill beneath the portico included the discarded remains of a once colored mosaic as well as more than 1000 coins. A low bench of basalt stones (some of which were plastered) runs along the interior walls, interrupted only by a stone bemah in the center of the southern wall. The synagogue is thus oriented toward Jerusalem. Near the bemah, an ornamented limestone seat was found in situ atop the bench. The building underwent several changes and repairs in the course of its lifespan. On either side of the bemah, north-south rows of columns rested on stylobate. A basalt stone table was found in re-use in the eastern stylobate. Nicknamed “the Horvat Kur stone,” this monolith features geometric figures on three sides and figurative representations on one side. Its original function is as yet subject of research. A narrow test-trench into the sediment of a cistern located outside the northern wall of the synagogue has produced nearly thirty intact vessels of the early Byzantine period, mostly cooking pots and water jars. In addition a dense sequence of pollen samples has been taken. Preliminary interpretation of these finds indicates that the Horvat Kur synagogue illustrates Byzantine synagogue construction, decoration, and use in the setting of a Galilean village of modest economic circumstances.
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The article presents the preliminary results from four seasons of excavations at Horvat Kur in the Galilee. The excavations conducted by the Kinneret Regional Project have exposed the remains of a broad-house synagogue from the Byzantine period. The most important finds include an elevated platform (i. e., a bemah) that supported a chest holding Torah scrolls, an ornamented limestone seat that was probably used by the leader of the congregation, and a basalt stone table that features geometric figures on three sides and figurative representations on one side. The Horvat Kur synagogue represents a valuable example of the diversity of Galilean synagogues that were built or renovated between the 5th and the 7th centuries C.E.
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En esta memoria estudiamos problemas geométricos relacionados con la Localización de Servicios. La Localización de Servicios trata de la ubicación de uno o más recursos (radares, almacenes, pozos exploradores de petróleo, etc) de manera tal que se optimicen ciertos objetivos (servir al mayor número de usuarios posibles, minimizar el coste de transporte, evitar la contaminación de poblaciones cercanas, etc). La resolución de este tipo de problemas de la vida real da lugar a problemas geométricos muy interesantes. En el planteamiento geométrico de muchos de estos problemas los usuarios potenciales del servicio son representados por puntos mientras que los servicios están representados por la figura geométrica que mejor se adapta al servicio prestado: un anillo para el caso de radares, antenas de radio y televisión, aspersores, etc, una cuña si el servicio que se quiere prestar es de iluminación, por ejemplo, etc. Estas son precisamente las figuras geométricas con las que hemos trabajado. En nuestro caso el servicio será sólo uno y el planteamiento formal del problema es como sigue: dado un anillo o una cuña de tamaño fijo y un conjunto de n puntos en el plano, hallar cuál tiene que ser la posición del mismo para que se cubra la mayor cantidad de puntos. Para resolver estos problemas hemos utilizado arreglos de curvas en el plano. Los arreglos son una estructura geométrica bien conocida y estudiada dentro de la Geometría Computacional. Nosotros nos hemos centrado en los arreglos de curvas de Jordán no acotadas que se intersectan dos a dos en a lo sumo dos puntos, ya que estos fueron los arreglos con los que hemos tenido que tratar para la resolución de los problemas. De entre las diferentes técnicas para la construcción de arreglos hemos estudiado el método incremental, ya que conduce a algoritmos que son en general más sencillos desde el punto de vista de la codificación. Como resultado de este estudio hemos obtenido nuevas cotas que mejoran la complejidad del tiempo de construcción de estos arreglos con algoritmos incrementales. La nueva cota Ο(n λ3(n)) supone una mejora respecto a la cota conocida hasta el momento: Ο(nλ4(n)).También hemos visto que en ciertas condiciones estos arreglos pueden construirse en tiempo Ο(nλ2(n)), que es la cota óptima para la construcción de estos arreglos. Restringiendo el estudio a curvas específicas, hemos obtenido que los arreglos de n circunferencias de k radios diferentes pueden construirse en tiempo Ο(n2 min(log(k),α(n))), resultado válido también para arreglos de elipses, parábolas o hipérbolas de tamaños diferentes cuando las figuras son todas isotéticas.---ABSTRACT--- In this work some geometric problems related with facility location are studied. Facility location deals with location of one or more facilities (radars, stores, oil wells, etc.) in such way that some objective functions are to be optimized (to cover the maximum number of users, to minimize the cost of transportation, to avoid pollution in the nearby cities, etc.). These kind of real world problems give rise to very interesting geometrical problems. In the geometric version of many of these problems, users are represented as points while facilities are represented as different geometric objects depending on the shape of the corresponding facility: an annulus in the case of radars, radio or TV antennas, agricultural spraying devices, etc. A wedge in many illumination or surveillance applications. These two shapes are the geometric figures considered in this Thesis. The formal setting of the problem is the following: Given an annulus or a wedge of fixed size and a set of n points in the plane, locate the best position for the annulus or the wedge so that it covers as many points as possible. Those problems are solved by using arrangements of curves in the plane. Arrangements are a well known geometric structure. Here one deals with arrangements of unbounded Jordan curves which intersect each other in at most two points. Among the different techniques for computing arrangements, incremental method is used because it is easier for implementations. New time complexity upper bounds has been obtained in this Thesis for the construction of such arrangements by means of incremental algorithms. New upper bound is Ο(nλ3(n)) which improves the best known up to now Ο(nλ4(n)). It is shown also that sometimes this arrangements can be constructed in Ο(nλ2(n)), which is the optimal bound for constructing these arrangements. With respect to specific type of curves, one gives an Ο(n2 min(log(k),α(n))), algorithm that constructs the arrangement of a set of n circles of k different radii. This algorithm is also valid for ellipses parabolas or hyperbolas of k different sizes when all of them are isothetic.
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2010 Mathematics Subject Classification: 53A07, 53A35, 53A10.
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Relatório de Estágio apresentado à Escola Superior de Educação do Instituto Politécnico de Castelo Branco para cumprimento dos requisitos necessários à obtenção do grau de Mestre em Educação Pré- Escolar e 1º Ciclo do Ensino Básico.
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This study sought to analyse the behaviour of the average spinal posture using a novel investigative procedure in a maximal incremental effort test performed on a treadmill. Spine motion was collected via stereo-photogrammetric analysis in thirteen amateur athletes. At each time percentage of the gait cycle, the reconstructed spine points were projected onto the sagittal and frontal planes of the trunk. On each plane, a polynomial was fitted to the data, and the two-dimensional geometric curvature along the longitudinal axis of the trunk was calculated to quantify the geometric shape of the spine. The average posture presented at the gait cycle defined the spine Neutral Curve. This method enabled the lateral deviations, lordosis, and kyphosis of the spine to be quantified noninvasively and in detail. The similarity between each two volunteers was a maximum of 19% on the sagittal plane and 13% on the frontal (p<0.01). The data collected in this study can be considered preliminary evidence that there are subject-specific characteristics in spinal curvatures during running. Changes induced by increases in speed were not sufficient for the Neutral Curve to lose its individual characteristics, instead behaving like a postural signature. The data showed the descriptive capability of a new method to analyse spinal postures during locomotion; however, additional studies, and with larger sample sizes, are necessary for extracting more general information from this novel methodology.
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The stingless bee Melipona beecheii presents great variability and is considered a complex of species. In order to better understand this species complex, we need to evaluate its diversity and develop methods that allow geographic traceability of the populations. Here we present a fast, efficient, and inexpensive means to accomplish this using geometric morphometrics of wings. We collected samples from Mexico, Guatemala, El Salvador, Nicaragua, and Costa Rica and we were able to correctly assign 87.1% of the colonies to their sampling sites and 92.4% to their haplotype. We propose that geometric morphometrics of the wing could be used as a first step analysis leaving the more expensive molecular analysis only to doubtful cases.