35 resultados para Circle Packing


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This workshop paper states that fostering active student participation both in face-to-face lectures / seminars and outside the classroom (personal and group study at home, the library, etc.) requires a certain level of teacher-led inquiry. The paper presents a set of strategies drawn from real practice in higher education with teacher-led inquiry ingredients that promote active learning. Thesepractices highlight the role of the syllabus, the importance of iterative learning designs, explicit teacher-led inquiry, and the implications of the context, sustainability and practitioners’ creativity. The strategies discussed in this paper can serve as input to the workshop as real cases that need to be represented in design and supported in enactment (with and without technologies).

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The Treatise on Quadrature of Fermat (c. 1659), besides containing the first known proof of the computation of the area under a higher parabola, R x+m/n dx, or under a higher hyperbola, R x-m/n dx with the appropriate limits of integration in each case , has a second part which was not understood by Fermat s contemporaries. This second part of the Treatise is obscure and difficult to read and even the great Huygens described it as'published with many mistakes and it is so obscure (with proofs redolent of error) that I have been unable to make any sense of it'. Far from the confusion that Huygens attributes to it, in this paper we try to prove that Fermat, in writing the Treatise, had a very clear goal in mind and he managed to attain it by means of a simple and original method. Fermat reduced the quadrature of a great number of algebraic curves to the quadrature of known curves: the higher parabolas and hyperbolas of the first part of the paper. Others, he reduced to the quadrature of the circle. We shall see how the clever use of two procedures, quite novel at the time: the change of variables and a particular case of the formulaof integration by parts, provide Fermat with the necessary tools to square very easily curves as well-known as the folium of Descartes, the cissoid of Diocles or the witch of Agnesi.

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The financial revolution improved the British government s ability to borrow, andthus its ability to wage war. North andWeingast argued that it also permitted privateparties to borrow more cheaply and widely.We test these inferences with evidencefrom a London bank.We confirm that private bank credit was cheap in the earlyeighteenth century, but we argue that it was not available widely. Importantly, thegovernment reduced the usury rate in 1714, sharply reducing the circle of privateclients that could be served profitably.

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Aquest estudi pretén mostrar com una cort perifèrica dins de la monarquia espanyola com la dels Centelles, comtes d’Oliva, tot imitant fil per randa la dels Este de Ferrara i la seva brillant presència en la Itàlia renaixentista mitjançant el mecenatge de Boiardo i d’Ariosto, va importar aquells esquemes i es va envoltar d’un grup d’escriptors que van constituir el nucli inicial de la recepció, difusió i continuació castellana de l’èpica d’Ariosto a la península Ibèrica. Gairebé es podria afirmar que la propagació en castellà de l’Orlando furioso a la península Ibèrica estava monopolitzada en gran part pel clan dels Centelles. Un cercle en el qual localitzem, segons tots els indicis, el traductor de Gli asolani de Bembo al castellà: Lluís Santàngel

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This paper provides an explicit cofibrant resolution of the operad encoding Batalin-Vilkovisky algebras. Thus it defines the notion of homotopy Batalin-Vilkovisky algebras with the required homotopy properties. To define this resolution we extend the theory of Koszul duality to operads and properads that are defind by quadratic and linear relations. The operad encoding Batalin-Vilkovisky algebras is shown to be Koszul in this sense. This allows us to prove a Poincare-Birkhoff-Witt Theorem for such an operad and to give an explicit small quasi-free resolution for it. This particular resolution enables us to describe the deformation theory and homotopy theory of BV-algebras and of homotopy BV-algebras. We show that any topological conformal field theory carries a homotopy BV-algebra structure which lifts the BV-algebra structure on homology. The same result is proved for the singular chain complex of the double loop space of a topological space endowed with an action of the circle. We also prove the cyclic Deligne conjecture with this cofibrant resolution of the operad BV. We develop the general obstruction theory for algebras over the Koszul resolution of a properad and apply it to extend a conjecture of Lian-Zuckerman, showing that certain vertex algebras have an explicit homotopy BV-algebra structure.

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The purpose of the study, grounded in sociocultural theory, is to describe the funds of knowledge of a Moroccan family living in Catalonia (Spain) in order to document how teachers can use these funds of knowledge to make direct links between students' lives and classroom teaching. The funds of knowledge approach is based on a simple premise: regardless of any socio-economical and sociocultural "deficit" that people may or may not have all families accumulate bodies of beliefs, ideas, skills and abilities based on their experiences (in areas such as their occupation or their religion). The challenge consists in connecting these bodies of educational resources with teaching practice in order to connect the curriculum with students' lives. In doing so, qualitative research can be carried out using several techniques such as self portraits, self-definition tasks, assessment of family artefacts, documenting routines through photographs, or the analysis of a person's significant circle. The results in terms of teaching practices illustrate the variety of ways teachers can make connections between home and school in ways that assist learners in their academic development. In this article, we propose using the term funds of identity to complement the concept of funds of knowledge

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We present a new hypothesis that relates global plate tectonics to the formation of marginal basins, island arcs, spreading ridges and arc-shaped mountain belts around the North Pacific Ocean. According to our model, the ellipsoidal-shaped Paleogene basins of the South China Sea, Parece-Vela Basin, Shikoku Basin, Sea of Japan and the Sea of Okhotsk in addition to those of the North American Cordillera can be attributed to the change in plate convergence direction at 42 Ma between the Indoaustralian and Eurasian plates. The new direction of convergence was parallel to the eastern continental margin of Asia and resulted in widespread extension perpendicular to this margin and to the western margin of North America. Both margins form part of a circle parallel to the Indoaustralian-Eurasian direction of convergence.

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Monte Carlo (MC) simulations have been used to study the structure of an intermediate thermal phase of poly(R-octadecyl ç,D-glutamate). This is a comblike poly(ç-peptide) able to adopt a biphasic structure that has been described as a layered arrangement of backbone helical rods immersed in a paraffinic pool of polymethylene side chains. Simulations were performed at two different temperatures (348 and 363 K), both of them above the melting point of the paraffinic phase, using the configurational bias MC algorithm. Results indicate that layers are constituted by a side-by-side packing of 17/5 helices. The organization of the interlayer paraffinic region is described in atomistic terms by examining the torsional angles and the end-to-end distances for the octadecyl side chains. Comparison with previously reported comblike poly(â-peptide)s revealed significant differences in the organization of the alkyl side chains.

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We present computer simulations of a simple bead-spring model for polymer melts with intramolecular barriers. By systematically tuning the strength of the barriers, we investigate their role on the glass transition. Dynamic observables are analyzed within the framework of the mode coupling theory (MCT). Critical nonergodicity parameters, critical temperatures, and dynamic exponents are obtained from consistent fits of simulation data to MCT asymptotic laws. The so-obtained MCT λ-exponent increases from standard values for fully flexible chains to values close to the upper limit for stiff chains. In analogy with systems exhibiting higher-order MCT transitions, we suggest that the observed large λ-values arise form the interplay between two distinct mechanisms for dynamic arrest: general packing effects and polymer-specific intramolecular barriers. We compare simulation results with numerical solutions of the MCT equations for polymer systems, within the polymer reference interaction site model (PRISM) for static correlations. We verify that the approximations introduced by the PRISM are fulfilled by simulations, with the same quality for all the range of investigated barrier strength. The numerical solutions reproduce the qualitative trends of simulations for the dependence of the nonergodicity parameters and critical temperatures on the barrier strength. In particular, the increase in the barrier strength at fixed density increases the localization length and the critical temperature. However the qualitative agreement between theory and simulation breaks in the limit of stiff chains. We discuss the possible origin of this feature.

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In a previous paper [Hidalgo et al., Phys. Rev. Lett. 103, 118001 (2009)] it was shown that square particles deposited in a silo tend to align with a diagonal parallel to the gravity, giving rise to a deposit with very particular properties. Here we explore, both experimentally and numerically, the effect on these properties of the filling mechanism. In particular, we modify the volume fraction of the initial configuration from which the grains are deposited. Starting from a very dilute case, increasing the volume fraction results in an enhancement of the disorder in the final deposit characterized by a decrease of the final packing fraction and a reduction of the number of particles oriented with their diagonal in the direction of gravity. However, for very high initial volume fractions, the final packing fraction increases again. This result implies that two deposits with the same final packing fraction can be obtained from very different initial conditions. The structural properties of such deposits are analyzed, revealing that, although the final volume fraction is the same, their micromechanical properties notably differ.

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A series of poly(butylene terephthalate) copolyesters containing 5-tert-butyl isophthalate units up to 50%-mole, as well as the homopolyester entirely made of these units, were prepared by polycondensation from the melt. The microstructure of the copolymers was determined by NMR to be at random for the whole range of compositions. The effect exerted by the 5-tert-butyl isophthalate units on thermal, tensile and gas transport properties was evaluated. Both Tm and crystallinity as well as the mechanical moduli were found to decrease steadily with copolymerization whereas Tg increased and the polyesters became more brittle. Permeability and solubility sligthly increased also with the content in substituted units whereas the diffusion coefficient remained practically constant. For the homopolyester poly(5-tert-butyl isophthalate), all these properties were found to deviate significantly from the general trend displayed by copolyesters suggesting that a different chain mode of packing in the amorphous phase is likely adopted in this case.

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The purpose of the study presented in this article, grounded in sociocultural theory, was to describe the funds of knowledge and identity of Moroccan family and student in Catalonia, Spain, and to document how teachers can detect families’ “funds of knowledge” and students’ “funds of identity” to make direct links from students’ lives to classroom instruction. It is used a qualitative design, employing several techniques: interview, self-portrait, meaningful circle, genogram and photographs to illustrate family educational routines

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One of the founders of numismatics in Modern Age was the archbishop of Tarragona and renowned jurist Antonio Agustín. He was educated during the mid-sixteenth century mainly in Italy, particularly in Bologna and Padua. His role in the development of antiquarian studies – and interest in collecting – ran parallel to the development of numismatics in the Cinquecento. His interest in realia , i.e., the materials and documents perceived as primary evidence of history understood in a global sense, make him a pioneer in setting the trends and methodologies which would be later employed by Bernard de Montfaucon. The period Antonio Agustín spent in Bologna, at the Reale Collegio di Spagna, between 1539 and 1544, afforded him the opportunity to enter a very cultivated circle where the admiration and study of the Antique was well established since the mid-fifteenth century. The cultural effervescence taking place in Bologna was encouraged by the court of Giovanni II Bentivoglio and the University alike. Artists also contributed to the development of antiquarian knowledge, and the painter Amico Aspertini (ca. 1475-1552) exemplifies this. It is clear that Antonio Agustín certainly benefited from the scholarly environment in Bologna during the first half of the Cinquecento, which had been firmly anchored since the fertile Quattrocento. Although the documentary evidence is scarce, and it is difficult to pinpoint the details, it is undeniable that Antonio Agustín was heavily influenced by his Bolognese experience.

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Elecció d'un ERP en base a l'estudi de processos òptims per a la indústria càrnia.