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Journal articles on the topic "Theorem of Thales. eng"
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Reiner, Victor. "Note on a Theorem of Eng." Annals of Combinatorics 6, no. 1 (August 1, 2002): 117–18. http://dx.doi.org/10.1007/s00026-002-8036-x.
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Surlina, Surlina, Mashadi Mashadi, and Sri Gemawati. "PENGEMBANGAN TEOREMA SAWAYAMA-THEBAULT MENGGUNAKAN EXCENTER." JURNAL MATHEMATIC PAEDAGOGIC 3, no. 1 (June 15, 2018): 19. http://dx.doi.org/10.36294/jmp.v3i1.270.
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AbstractA triangle have special lines, such as angle bisectors and perpendicular bisector.These special lines are concurrent with their corresponding concurrent points, and called incenter, excenter and circumcenter. This paper discusses how to prove the collinear point of Sawayama-Thebault’s circle using excenter. Then, it is proved the three points collinear using simple ways, like similarity triangles and Thales theorem.Keywords: Sawayama-Thebault’s theorem, excenter, collinearAbstrakSegitiga memiliki beberapa garis-garis istimewa, diantaranya garis bagi, dan garis sumbu. Garis-garis istimewa ini kongkuren dan masing-masing titik kongkuren disebut incenter, excenter dan circumcenter . Pada makalah ini dibahas kolinearitas titik pusat lingkaran Sawayama-Thebault menggunakan excenter. Pembuktian kekolinearitas menggunakan konsep geometri sederhana, yakni kesebangunan segitiga dan teorema Thales.Kata kunci: Teorema Sawayama-Thebault, excenter, kolinearitas
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Pike, David L. "“THE GREATEST WONDER OF THE WORLD”: BRUNEL'S TUNNEL AND THE MEANINGS OF UNDERGROUND LONDON." Victorian Literature and Culture 33, no. 2 (August 9, 2005): 341–67. http://dx.doi.org/10.1017/s1060150305050886.
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THE EAST END OF LONDONwas not a common destination for the upper- or middle-class sightseer in the early nineteenth century. The requisite steamer ride down the Thames from London Bridge for the excursion out of the city to Greenwich would show, along the way, in the words of one tourist, “The Custom House and the Tower, the only prominent objects rising out of the dreary range of shabbiness which stretches along close to the water's edge” (Hawthorne 232–33). There was one exception to the habit of overlooking the East End: a significant proportion of the twenty-four million persons who passed through the Thames Tunnel between Wapping and Rotherhithe from 1827 to 1865 had indeed made the eastward excursion expressly for that purpose. Essential viewing at the time but little studied since, the history of the Thames Tunnel indicates the stakes and the consequences of remapping the urban topography of London during the era when middle-class tourism was being invented. Comprised of two 1200-foot-long arched passageways joined by a wall of open arches in an overall brickworked space of 22 1/2 feet high by 38 feet wide (Bobrick 58), the Tunnel was unique among the obligatory sights of the city in that it was also a practical thoroughfare employed as such almost wholly by the working classes. It was open twenty-four hours a day, and, as one visitor noted, it offered the unusual experience of emerging “in the midst of one of the most unintelligible, forlorn, and forsaken districts of London or the world” (Catlin 2: 112–13; qtd. in Altick 373), the docklands and slums of the East End. Through a half-century as a symbolic hub of London life from the years of its design and excavation (1824–43) to its conversion to a railway tunnel on the East London Line in 1869, the Thames Tunnel mobilized the tensions in the modernizing city between technological progress and social repression into a dense network of underground myths.
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Thibodeau, Philip. "Hahn, Robert. The Metaphysics of the Pythagorean Theorem: Thales, Pythagoras, Engineering, Diagrams, and the Construction of the Cosmos out of Right Triangles." Aestimatio: Critical Reviews in the History of Science 13 (May 14, 2020): 177–84. http://dx.doi.org/10.33137/aestimatio.v13i0.34346.
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Makarenkov, Oleg. "Existence and stability of limit cycles in the model of a planar passive biped walking down a slope." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476, no. 2233 (January 2020): 20190450. http://dx.doi.org/10.1098/rspa.2019.0450.
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We consider the simplest model of a passive biped walking down a slope given by the equations of switched coupled pendula (McGeer T. 1990 Passive dynamic walking. Int. J. Robot. Res. 9 , 62–82. ( doi:10.1177/027836499000900206 )). Following the fundamental work by Garcia (Garcia et al . 1998 J. Biomech. Eng . 120 , 281. ( doi:10.1115/1.2798313 )), we view the slope of the ground as a small parameter γ ≥ 0. When γ = 0, the system can be solved in closed form and the existence of a family of cycles (i.e. potential walking cycles) can be computed in closed form. As observed in Garcia et al. (Garcia et al . 1998 J. Biomech. Eng . 120 , 281. ( doi:10.1115/1.2798313 )), the family of cycles disappears when γ increases and only isolated asymptotically stable cycles (walking cycles) persist. However, no mathematically complete proofs of the existence and stability of walking cycles have been reported in the literature to date. The present paper proves the existence and stability of a walking cycle (long-period gait cycle, as termed by McGeer) by using the methods of perturbation theory for maps. In particular, we derive a perturbation theorem for the occurrence of stable fixed points from 1-parameter families in two-dimensional maps that can be of independent interest in applied sciences.
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MACCOLL, ALAN. "THE TEMPLE OF VENUS, THE WEDDING OF THE THAMES AND THE MEDWAY, AND THE END OF THE FAERIE QUEENE, BOOK IV." Review of English Studies XL, no. 157 (1989): 26–47. http://dx.doi.org/10.1093/res/xl.157.26.
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Noeske, Nina, and Matthias Tischer. "Prolegomena zu einer Musikgeschichte der DDR." Die Musikforschung 59, no. 4 (September 22, 2021): 346–56. http://dx.doi.org/10.52412/mf.2006.h4.592.
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Nach wie vor ist die Musikkultur der Deutschen Demokratischen Republik nur in Ansätzen erforscht. Für eine anstehende DDR-Musikgeschichte ist es zunächst notwendig, methodische Voraussetzungen zu klären: So bietet sich das Theorem der Musikverhältnisse an, um den engen Verflechtungen von Politik, musikalischer Rezeption, Produktion, Wissenschaft und Interpretation gerecht zu werden. Zugleich ist die Werkanalyse auch bei der politischen Musikgeschichtsschreibung nicht zu vernachlässigen: Denn die Musik liefert oft mehr Erkenntnisse über die Zeitumstände als manches politische Dokument. Das seit 1989 zugängliche umfangreiche Archivmaterial (beispielsweise der Akademie der Künste oder des Ministeriums für Staatssicherheit) lässt leicht aus dem Blick geraten, dass es bei der Aufarbeitung von Geschichte stets darauf ankommt, Ereignisse zu interpretieren und in einem kultur- und ideengeschichtlichen Kontext zu verorten; die bloße lückenlose Sammlung und Verzeichnung wäre hier fehl am Platze. Schwierig ist die Bewertung von musikalischen und Textquellen, die oft von Doppel- oder gar Mehrdeutigkeit durchdrungen sind. Zeitzeugen und Nachgeborene müssen hier eng zusammenarbeiten, um das Bezugsfeld der Erwartungen (Hans Robert Jauß) zu rekonstruieren und das Lesen zwischen den Zeilen zu kultivieren. Abschließend werden einige mögliche thematische Schwerpunkte für die Musikgeschichtsschreibung erwogen.
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Martinazzo, Rocco, and Eli Pollak. "Lower bounds to eigenvalues of the Schrödinger equation by solution of a 90-y challenge." Proceedings of the National Academy of Sciences 117, no. 28 (June 29, 2020): 16181–86. http://dx.doi.org/10.1073/pnas.2007093117.
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The Ritz upper bound to eigenvalues of Hermitian operators is essential for many applications in science. It is a staple of quantum chemistry and physics computations. The lower bound devised by Temple in 1928 [G. Temple,Proc. R. Soc. A Math. Phys. Eng. Sci.119, 276–293 (1928)] is not, since it converges too slowly. The need for a good lower-bound theorem and algorithm cannot be overstated, since an upper bound alone is not sufficient for determining differences between eigenvalues such as tunneling splittings and spectral features. In this paper, after 90 y, we derive a generalization and improvement of Temple’s lower bound. Numerical examples based on implementation of the Lanczos tridiagonalization are provided for nontrivial lattice model Hamiltonians, exemplifying convergence over a range of 13 orders of magnitude. This lower bound is typically at least one order of magnitude better than Temple’s result. Its rate of convergence is comparable to that of the Ritz upper bound. It is not limited to ground states. These results complement Ritz’s upper bound and may turn the computation of lower bounds into a staple of eigenvalue and spectral problems in physics and chemistry.
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Scoggin, Daniel P. "A SPECULATIVE RESURRECTION: DEATH, MONEY, AND THE VAMPIRIC ECONOMY OF OUR MUTUAL FRIEND." Victorian Literature and Culture 30, no. 1 (March 2002): 99–125. http://dx.doi.org/10.1017/s1060150302301062.
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Has a dead man any use for money? Is it possible for a dead man to have money? What world does a dead man belong to? ‘Tother world. What world does money belong to? This world. How can money be a corpse’s? Can a corpse own it, want it, spend it, claim it, miss it?— Gaffer Hexam, Our Mutual FriendWHILE FISHING CORPSES out of the fast-flowing Thames, itself a symbol of death,1 in order to probe their pockets, Gaffer Hexam makes sharp reference to a long-standing distinction regarding the limits of earthly possession. Some of Dickens’s readers would have been quite ready to connect Gaffer’s remarks to Bunyan’s story of Christian’s exodus from the commerce and bustle of the earthly city and his crossing of the river of death that flows before the gates of the celestial city. Others might have considered the riverman’s musings as somehow referring to St. Paul’s saying that “the end of those things [wealth] is death” (qtd. in Welsh 59).2 In the presentation of Gaffer’s ghastly career, however, Dickens points out a dislocation from these earlier views: the riverman desecrates the “muffled human form” he finds just as he truncates (if not turns inside-out) what was once the afterlife’s principal judgment of the use of riches in this lower world (44; bk. 1, ch. 1). According to the text, Gaffer, in sharply dividing spiritual transactions from material ones, and the soul from his or her former possessions, only further mires himself in the “slime and ooze” of the commercial river (43; bk. 1, ch. 1), enabling decay to encroach more aggressively on life.
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Harding, Brendan. "Convergence analysis of inertial lift force estimates using the finite element method." ANZIAM Journal 60 (July 4, 2019): C65—C78. http://dx.doi.org/10.21914/anziamj.v60i0.14094.
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We conduct a convergence analysis for the estimation of inertial lift force on a spherical particle suspended in flow through a straight square duct using the finite element method. Specifically, we consider the convergence of an inertial lift force approximation with respect to a range of factors including the truncation of the domain, the resolution of the tetrahedral mesh and the boundary conditions imposed at the (truncated) ends of the domain. Additionally, we compare estimates obtained via the Lorentz reciprocal theorem with those obtained via a direct integration of fluid stress over the particle surface.
References M. S. Alnaes, J. Blechta, J. Hake, A. Johansson, B. Kehlet, A. Logg, C. Richardson, J. Ring, M. E. Rognes, and G. N. Wells. The FEniCS project version 1.5. Arch. Numer. Software, 3(100):923, 2015. doi:10.11588/ans.2015.100.20553. D. Di Carlo. Inertial microfluidics. Lab Chip, 21:30383046, 2009. doi:10.1039/B912547G. C. Geuzaine and J.-F. Remacle. Gmsh: A 3-d finite element mesh generator with built-in pre- and post-processing facilities. Int. J. Numer. Meth. Eng., 79(11):13091331, 2009. doi:10.1002/nme.2579. B. Harding. A study of inertial particle focusing in curved microfluidic ducts with large bend radius and low flow rate. In Proc. 21st Australasian Fluid Mechanics Conference, number 603, 2018. URL https://people.eng.unimelb.edu.au/imarusic/proceedings/21/Contribution_603_final.pdf. B. Harding, Y. M. Stokes, and A. L. Bertozzi. Effect of inertial lift on a spherical particle suspended in flow through a curved duct. J. Fluid Mech., accepted, 2019. URL https://arxiv.org/abs/1902.06848. A. J. Hogg. The inertial migration of non-neutrally buoyant spherical particles in two-dimensional shear flows. J. Fluid Mech., 272:285318, 1994. doi:10.1017/S0022112094004477. K. Hood, S. Lee, and M. Roper. Inertial migration of a rigid sphere in three-dimensional Poiseuille flow. J. Fluid Mech., 765:452479, 2015. doi:10.1017/jfm.2014.739. N. Nakagawa, T. Yabu, R. Otomo, A. Kase, M. Makino, T. Itano, and M. Sugihara-Seki. Inertial migration of a spherical particle in laminar square channel flows from low to high reynolds numbers. J. Fluid Mech., 779:776793, 2015. doi:10.1017/jfm.2015.456. T.-W. Pan and R. Glowinski. Direct simulation of the motion of neutrally buoyant balls in a three-dimensional poiseuille flow. C. R. Mecanique, 333(12):884895, 2005. doi:10.1016/j.crme.2005.10.006. C. Taylor and P. Hood. A numerical solution of the navier-stokes equations using the finite element technique. Comput. Fluids, 1(1):73100, 1973. doi:10.1016/0045-7930(73)90027-3. M. E. Warkiani, G. Guan, K. B. Luan, W. C. Lee, A. A. S. Bhagat, P. Kant Chaudhuri, D. S.-W. Tan, W. T. Lim, S. C. Lee, P. C. Y. Chen, C. T. Lim, and J. Han. Slanted spiral microfluidics for the ultra-fast, label-free isolation of circulating tumor cells. Lab Chip, 1:128137, 2014. doi:10.1039/C3LC50617G. B. H. Yang, J. Wang, D. D. Joseph, H. H. Hu, T.-W. Pan, and R. Glowinski. Migration of a sphere in tube flow. J. Fluid Mech., 540:109131, 2005. doi:10.1017/S0022112005005677. L. Zeng, S. Balachandar, and P. Fischer. Wall-induced forces on a rigid sphere at finite reynolds number. J. Fluid Mech., 536:125, 2005. doi:10.1017/S0022112005004738.
Dissertations / Theses on the topic "Theorem of Thales. eng"
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Pereira, Ana Carolina Costa. "Teorema de Thales : uma conexão entre os aspectos geométrico e algébrico em alguns livros didáticos de matemática /." Rio Claro : [s.n.], 2005. http://hdl.handle.net/11449/90997.
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Orientador: Rosa Lúcia Sverzut BaroniBanca: Antonio Vicente Marafioti Garnica
Banca: Wagner Rodrigues Valente
Resumo: A pesquisa visou a investigar livros didáticos de Matemática editados entre a última metade do século XIX e o século XX, no que diz respeito ao conteúdo dos corpos numéricos, focalizando a extensão do corpo dos números racionais para os reais. Nesse estudo, procurou-se observar como a geometria foi explorada, nesses livros didáticos, para o tratamento dessa questão. Mais precisamente, tomando como base o teorema de Thales, que relaciona o tratamento geométrico e algébrico por meio de medidas, buscou-se evidências no que diz respeito à questão da comensurabilidade. Para isso, selecionou-se sete livros didáticos de Matemática editados no período em questão: Elementos de Geometria e Trigonometria Rectilínea, C. B. Ottoni, 1904; Elementos de Geometria, F.I.C, 1923; Curso de Mathematica, E. Roxo, C. Thiré e J. C. Mello e Souza, 1940-1942; Matemática - Curso Moderno, A. Quintella, 1960- 1963; Matemática - Curso Ginasial, O. Sangiorgi, 1968-1970; A Conquista da Matemática, J. R. Giovanni e B. Castrucci, 1985; e Matemática, L. M. P Imenes e M. Lellis, 1999. Em seguida, analisou-se cada coleção, observando o tratamento geométrico que foi dado aos números reais, em particular, no teorema de Thales. Nessa análise percebeu-se que a maioria dos livros didáticos selecionados na pesquisa apresentou o teorema de Thales remetendo a demonstração para o caso em que os segmentos eram comensuráveis. Porém, o primeiro livro analisado, faz uma discussão na demonstração, tanto para o caso em que os segmentos eram comensuráveis quanto incomensuráveis. Foi possível perceber que, nesse período, o assunto foi perdendo a precisão nos manuais escolares analisados. Considera-se plausível que a idéia subjacente ao teorema de Thales _ ligada às condições de proporcionalidade de segmentos isto é, medição de segmentos... (Resumo completo, clicar acesso eletrônico abaixo)
Abstract: This research aimed to investigate Mathematics textbooks published from the late century XIX until the century XX, concerning the content of numerical fields, focusing on the extension from the rational to the real field. In the study, we tried to observe how geometry was explored in such books to address that issue. More precisely, taking the Thales' theorem, which relates the geometric and algebraic approach by measuring, research tries to find indications regarding measurability. To accomplish this proposal, seven Mathematics textbooks published within the aforementioned period were selected: Elementos de Geometria e Trigonometria Rectilínea, C. B. Ottoni, 1904; Elementos de Geometria, F.I.C, 1923; Curso de Mathematica, E. Roxo, C. Thiré e J. C. Mello e Souza, 1940-1942; Matemática - Curso Moderno, A. Quintella, 1960-1963; Matemática - Curso Ginasial, O. Sangiorgi, 1968-1970; A Conquista da Matemática, J. R. Giovanni e B. Castrucci, 1985; e Matemática, L. M. P Imenes e M. Lellis, 1999. Soon afterwards, each collection was analyzed, observing the geometric approach that was given to the real numbers, particularly in the Thales' Theorem. In that analysis it was noticed that most of the selected textbooks in the research presented the Thales' theorem but its demonstration was restricted to the case in which the segments were commensurable. However, the first analyzed book makes a discussion on the demonstration for both cases, commensurable and incommensurable. It was possible to notice that through that period, the topic was being lessened in its precision in the analyzed school manuals. It's plausible that the underlying idea to the Thales' theorem, linked to conditions of proportionality between segments, that is, segment measurement, can be a way to introducing positive real numbers... (Complete abstract, click electronic address below)
Mestre
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Stanislavski, Cleila de Fátima Siqueira. "A coleção de leitura escolar : série Thales de Andrade (1928-1964) : reflexões sobre leitura escolar /." Marília : [s.n.], 2011. http://hdl.handle.net/11449/104798.
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Orientador: Ana Clara Bortoleto NeryBanca: Carlos Roberto da Silva Monarcha
Banca: Flávia Obino Corrêa Werle
Banca: Vivian Batista da Silva
Banca: Juvenal Zanquetta Júnior
Resumo: Esta Tese de Doutorado tem como objetivo analisar a constituição de um modelo de leitura escolar instituído pela Coleção de Leitura Escolar: Série Thales de Andrade da Companhia Editora Nacional. Os livros que a compõe são Ler Brincando, Espelho, Vida na Roça, Trabalho, Saudade, Campo e Cidade e Alegria, do autor Thales Castanho de Andrade. Os livros eram destinados para o ensino e aprendizagem nas escolas brasileiras, no século XX. Apresentam características similares entre eles instituindo um modelo de leitura escolar apresentado e agrupado na coleção, definindo-se a partir das idéias educacionais, sociais e culturais do início do século XX. O modelo de leitura era voltado para as escolas isoladas rurais daquele momento. Para a análise foram estudadas a materialidade dos livros (Chartier); documentos editoriais no que se refere às políticas de aquisição dos livros entre Estado e editora; na busca dos leitores pretendidos, encontrados na análise dos dados da editora, do autor e dos próprios livros; e o mercado editorial. Segundo Roger Chartier (1991), suporte teórico-metodológico desta Tese, a metodologia está focada na compreensão, manipulação e estudo de textos, impressos de formas variadas, em seu contexto histórico e social, estudando-se o próprio texto e os impressos que lhe dão suporte. Dessa forma buscou-se compreender o texto a partir dos protocolos de leitura e reconstituir o processo pelos quais o livro adquire sentido considerando as relações estabelecidas entre três pólos: o texto, o objeto que lhe serve de suporte e a prática que dele se apodera. Este trabalho permite entender quais as características dos livros que compõe a Coleção e as formas pelas quais ela institui um modelo de leitura escolar. Este modelo estava presente nas características dos livros, em sua materialidade, assuntos e temas, disposição e desenvolvimento dos textos... (Resumo completo, clicar acesso eletrônico abaixo)
Abstract: This doctoral thesis aims to analyze the constitution of a school reading model established by the Reading School Collection: Series Thales de Andrade of "Companhia Editora Nacional". The books that comprise it are: "Ler brincando", "Espelho", "Vida na roça", "Trabalho", "Saudade", "Campo e cidade", and "Alegria", from author Thales Castanho de Andrade. The books were intended for teaching and learning in Brazilian schools during the twentieth century. They present similar characteristics among them, instituting a school reading model presented and grouped in the collection, defined from educational, social and cultural values of the early twentieth century. The reading model was designed for isolated rural schools at that time. For the analysis we studied the materiality of books (Chartier); editorial documents regarding policies for acquisition of books between the State and the publishing house; in the search of intended readers, found in the data analysis of the publisher, the author and the books themselves; and the publishing market. According to Roger Chartier (1991), theoretical-methodological support of this Thesis, the methodology is focused on understanding, handling and study of texts, printed in various forms, in their historical and social context, studying the text itself and the folders that support it. Thus, it was sought to understand the text from the reading protocols and to reconstitute the process by which the book makes sense considering the relations among three poles: the text, the object supporting it, and the practice that takes it. This work allows understanding the characteristics of books that make up the Collection and the ways in which it establishes a school reading model. This model was present in the characteristics of books, in their materiality, issues and themes, layout and development of texts and in the educational... (Complete abstract click electronic access below)
Doutor
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Stanislavski, Cleila de Fátima Siqueira. "Saudade (1919-2002) : a contribuição de Thales Castanho de Andrade para o campo da leitura escolar /." Marília : [s.n.], 2006. http://hdl.handle.net/11449/96369.
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Orientador: Ana Clara Bortoleto NeryBanca: Maria Rita de Almeida Toledo
Banca: Rosa Fátima Souza
Resumo: Com o objetivo de compreender as formas pelas quais Saudade, do autor Thales Castanho de Andrade, se constitui como uma obra importante da literatura infantil brasileira, enquanto livro de leitura escolar utilizado nas escolas primárias, durante os anos de 1918 e 1932, apresento esta Dissertação de Mestrado. Para entender que fatores contribuíram para que Saudade se tornasse referência na literatura escolar, faço a análise da 2ª e da 17ª edições do livro, publicadas em 1920 e 1932, respectivamente. A análise terá como referencial teórico as idéias de Roger Chartier, numa abordagem identificada como "história cultural". Segundo Chartier (1991), esta abordagem está focada na compreensão, manipulação e estudo de textos, impressos de formas variadas, em seu contexto histórico e social. Saudade foi escrito num momento histórico que dá início a publicação de uma literatura escolar, da qual se origina a literatura infantil brasileira como gênero literário. Foi destinado à leitura escolar nas séries do curso primário das escolas brasileiras; adotado principalmente, nos estados de São Paulo, Paraná, Ceará e no Distrito Federal, segundo a Revista da Sociedade de Educação, de 1923. O livro foi escrito em um momento de grande efervescência nacional no campo econômico, cultural, político e educacional, e estava comprometido com o processo de ruralização. O autor de Saudade, piracicabano, foi escritor e educador, e manteve relações de amizade ou convívio pessoal com pessoas importantes para a educação no Brasil, dentre elas, Sampaio Dória, Sud Mennucci, Monteiro Lobato e Lourenço Filho. Neste trabalho, levou-se em conta a afirmação de Roger Chartier de que é preciso unir duas perspectivas: estudar o próprio texto e os impressos que lhe dão suporte.
Abstract: The aim of this research is to comphehend how Saudade, written by Thales Castanho de Andrade, constitutes an important book of the brazilian literary production made for children, once it was used as pedagogical reading in Elementary Schools during the period from 1918 to 1932. To enlighten what factors contributed to make Saudade so important as a reference in the pedagogical literature, I analysed the 2nd and 17th editions of the book, published en 1920 and 1932, respectively. The analyses will be held by Roger Chartier's ideas, approaching the "cultural history". According to Chartier (1991), this approachfocuses on the comprehension, manipulation and study of printed texts in several ways, and also on its historical and social contexts. Saudade was written in a historical epoch which makes na entry of the pedagogical publishing, from which originates the brazilian literary production made fr children as a literary order. The book was destinated to pedagogical reading on the brazilian Elementary Schols; being used, mainly, in the Estates of São Paulo, Paraná, ceará and in the Federal District, according to the Education Society Magazine, from 1923. The novel was produced in a time of great effervescence on the economy, culture, politics and education, and was linked to the process of ruralism. The author of Saudade, piracicabano, was writer and educator, keeping relations of frienship or docial companionship with important people for education in Brazil; among them, Sampaio Dória, Sud Mennucci, Monteiro Lobato and Lourenço Filho. In this research, I considered the words of Roger Chartier that say it is necessary to join two perspectives: studying the text itself and the other printed matters that support it.
Mestre
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Pereira, Ana Carolina Costa [UNESP]. "Teorema de Thales: uma conexão entre os aspectos geométrico e algébrico em alguns livros didáticos de matemática." Universidade Estadual Paulista (UNESP), 2005. http://hdl.handle.net/11449/90997.
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A pesquisa visou a investigar livros didáticos de Matemática editados entre a última metade do século XIX e o século XX, no que diz respeito ao conteúdo dos corpos numéricos, focalizando a extensão do corpo dos números racionais para os reais. Nesse estudo, procurou-se observar como a geometria foi explorada, nesses livros didáticos, para o tratamento dessa questão. Mais precisamente, tomando como base o teorema de Thales, que relaciona o tratamento geométrico e algébrico por meio de medidas, buscou-se evidências no que diz respeito à questão da comensurabilidade. Para isso, selecionou-se sete livros didáticos de Matemática editados no período em questão: Elementos de Geometria e Trigonometria Rectilínea, C. B. Ottoni, 1904; Elementos de Geometria, F.I.C, 1923; Curso de Mathematica, E. Roxo, C. Thiré e J. C. Mello e Souza, 1940-1942; Matemática - Curso Moderno, A. Quintella, 1960- 1963; Matemática - Curso Ginasial, O. Sangiorgi, 1968-1970; A Conquista da Matemática, J. R. Giovanni e B. Castrucci, 1985; e Matemática, L. M. P Imenes e M. Lellis, 1999. Em seguida, analisou-se cada coleção, observando o tratamento geométrico que foi dado aos números reais, em particular, no teorema de Thales. Nessa análise percebeu-se que a maioria dos livros didáticos selecionados na pesquisa apresentou o teorema de Thales remetendo a demonstração para o caso em que os segmentos eram comensuráveis. Porém, o primeiro livro analisado, faz uma discussão na demonstração, tanto para o caso em que os segmentos eram comensuráveis quanto incomensuráveis. Foi possível perceber que, nesse período, o assunto foi perdendo a precisão nos manuais escolares analisados. Considera-se plausível que a idéia subjacente ao teorema de Thales _ ligada às condições de proporcionalidade de segmentos isto é, medição de segmentos...
This research aimed to investigate Mathematics textbooks published from the late century XIX until the century XX, concerning the content of numerical fields, focusing on the extension from the rational to the real field. In the study, we tried to observe how geometry was explored in such books to address that issue. More precisely, taking the Thales' theorem, which relates the geometric and algebraic approach by measuring, research tries to find indications regarding measurability. To accomplish this proposal, seven Mathematics textbooks published within the aforementioned period were selected: Elementos de Geometria e Trigonometria Rectilínea, C. B. Ottoni, 1904; Elementos de Geometria, F.I.C, 1923; Curso de Mathematica, E. Roxo, C. Thiré e J. C. Mello e Souza, 1940-1942; Matemática - Curso Moderno, A. Quintella, 1960-1963; Matemática - Curso Ginasial, O. Sangiorgi, 1968-1970; A Conquista da Matemática, J. R. Giovanni e B. Castrucci, 1985; e Matemática, L. M. P Imenes e M. Lellis, 1999. Soon afterwards, each collection was analyzed, observing the geometric approach that was given to the real numbers, particularly in the Thales' Theorem. In that analysis it was noticed that most of the selected textbooks in the research presented the Thales' theorem but its demonstration was restricted to the case in which the segments were commensurable. However, the first analyzed book makes a discussion on the demonstration for both cases, commensurable and incommensurable. It was possible to notice that through that period, the topic was being lessened in its precision in the analyzed school manuals. It's plausible that the underlying idea to the Thales' theorem, linked to conditions of proportionality between segments, that is, segment measurement, can be a way to introducing positive real numbers... (Complete abstract, click electronic address below)
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Galves, Ana Paula Tremura. "O teorema de Lefschetz-Hopf e sua relação com outros teoremas clássicos da topologia /." São José do Rio Preto : [s.n.], 2009. http://hdl.handle.net/11449/94208.
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Orientador: Maria Gorete Carreira AndradeBanca: Denise de Mattos
Banca: Ermínia de Lourdes Campello Fanti
Resumo: Em Topologia, mais especificamente em Topologia Algébrica, temos alguns resultados clássicos que de alguma forma estão relacionados. No desenvolvimento deste trabalho, estudamos alguns desses resultados, a saber: Teorema de Lefschetz-Hopf, Teorema do Ponto Fixo de Lefschetz, Teorema do Ponto Fixo de Brouwer, Teorema da Curva de Jordan e o Teorema Clássico de Borsuk-Ulam. Além disso, tivemos como objetivo principal mostrar relações existentes entre esses teoremas a partir do Teorema de Lefschetz-Hopf.
Abstract: In Topology, more specifically in Algebraic Topology, we have some classical results that are in some way related. In developing this work, we studied some of these results, namely the Lefschetz-Hopf Theorem, the Lefschetz Fixed Point Theorem, the Brouwer Fixed Point Theorem, the Jordan Curve Theorem and the Classic Borsuk-Ulam Theorem. Moreover, our main objective was to show relationships among those theorems by using Lefschetz-Hopf Theorem.
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Batista, Ricardo Alexandre. "Tópicos de geometria diferencial /." Rio Claro : [s.n.], 2011. http://hdl.handle.net/11449/94373.
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Orientador: João Peres VieiraBanca: Eliris Cristina Rizziolli
Banca: Laércio Aparecido Lucas
Resumo: O principal objetivo deste trabalho é confeccionar um texto para alunos de gradua ção na área de Ciências Exatas e da Terra concernente ao estudo da Curvatura Gaussiana e Aplicação de Gauss, Superfícies Mínimas, Teorema Egregium de Gauss e o Teorema de Gauss- Bonnet para curvas simples fechadas
Abstract: The main objective from this work is to make a text for students of graduation in the area of exact sciences and of the land concerning to the study of the Gaussian Curvature and the Gauss Map, Minimal Surfaces, Gauss's Theorem Egregium and the Gauss-Bonnet Theorem for Simple Closed Curves
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Rafaeli, Fernando Rodrigo. "Teorema de Sturm e zeros de polinômios ortogonais /." São José do Rio Preto : [s.n.], 2007. http://hdl.handle.net/11449/94295.
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Orientador: Dimitar Kolev DimitrovBanca: Valdir Antonio Menegatto
Banca: Alagocone Sri Ranga
Resumo: Neste trabalho estudamos o Teorema de Sturm para zeros de soluções de equações diferenciais lineares de segunda ordem e suas extensões. Estes resultados clássicos são aplicados para análise de monotonicidade e convexidade de zeros de polinômios ortogonais clássicos.
Abstract: We study Sturm's theorem on zeros of solution of linear second-order differential equations as well as its extension. These classical results are applied to analyze monotonicity and convexity of zeros of classical orthogonal polynomials.
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Antonow, Liliane Martinez. "Análise funcional : um texto para iniciação científica /." Rio Claro : [s.n.], 2011. http://hdl.handle.net/11449/94351.
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Orientador: Simone Mazzini BruschiBanca: Ricardo Pereira da Silva
Banca: Vera Lúcia Carbone
Resumo: Este trabalho consistiu em coletar e desenvolver uma sequência didática para o ensino de Análise Funcional aos estudantes de iniciação científica. Neste sentido a dissertação foi escrita para ser utilizada como livro-texto, transmitindo uma introdução de Análise Funcional e com o objetivo que ao final os estudantes estejam aptos a estudar textos mais específicos
Abstract: This work suggests a didatic road map for teaching Functional Analysis to un- dergraduated students who wish to initiate a scientific carrier. The dissertation was written an introductory text book of Functional Analysis ofter which students could migrate to more specific papers
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Trinca, Cibele Cristina. "O número de Lefschetz e teoremas do tipo Borsuk-Ulam /." São José do Rio Preto : [s.n.], 2007. http://hdl.handle.net/11449/92955.
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Orientador: Maria Gorete Carreira AndradeBanca: Ermínia de Lourdes Campello Fanti
Banca: Denise de Mattos
Resumo: Neste trabalho, estudamos o Teorema clássico de Borsuk - Ulam e também outros Teoremas do tipo Borsuk - Ulam. Para isto, consideramos aplicacões contínuas f : (Cn+1 L f0g) ! Cn. Uma raíz primitiva k - ésima da unidade » nos fornece uma Zk-acão livre sobre Cn. Um teorema nos diz que a equação kL1X i=0 »if(»ix) = 0 sempre tem uma solução x 2 (Cn+1 L f0g). Este resultado produz várias aplicações. Por exemplo, se p é um número primo, f : Sn ! Rr uma aplicacão contínua, com n > r(p L 1), então alguma órbita da Zp-ação deve ser aplicada em um ponto.
Abstract: In this work, we study the Classical Borsuk-Ulam Theorem and also other Borsuk- Ulam Theorems. For that, we consider continuous maps f : (Cn+1 L f0g) ! Cn. A primitive k-root of unity » gives rise to a free Zk-action on Cn. A result states that the equation kL i=0 »if(»ix) = 0 always has a solution x 2 (Cn+1 L f0g). This result provides several aplications. For example, if p is a prime number, f : Sn ! Rr a continuous map and n > r(p L 1), then some orbit of the Zp-action must be mapped into a point.
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Silva, Lucas Casanova. "Superfícies de impasse e bifurcações de sistemas forçados /." São José do Rio Preto : [s.n.], 2009. http://hdl.handle.net/11449/94218.
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Orientador: Paulo Ricardo da SilvaBanca: João Carlos da Rocha Medrado
Banca: João Carlos Ferreira Costa
Resumo: Neste trabalho, estudamos as famíılias de sistemas forçados com superfície de impasse regular, as formas normais de seus pontos "típicos"bem como seus retratos de fase. Vemos ainda alguns resultados sobre a genericidade desses pontos e a estabilidade estrutural de um sistema forçado. Abordamos o tema de uma forma simples: apresentamos o que é um sistema forçado e uma família de sistemas forçados para depois estudar as formas normais de seus pontos "típicos" através de dois campos de direções, os quais se tornam fundamentais para o assunto. Utilizamos o Teorema de Peixoto (adaptado para este assunto) como norte para dar as características de um sistema forçado estruturalmente estável. No capítulo 3, damos a estratificação da superfície de impasse e, como resultado final, vemos que esta estratificação é genérica (no conjunto de todas as famílias de sistemas forçados).
Abstract:In this work we study the families of constrained systems with regular impasse surface, the normal forms of its "typical"points and the respectively phase portrait. We see some results about the genericity of these points and the structural stability of a constrained system. We broach the theme in a simple way: we introduce a constrained system and a family of a constrained systems, and so, we study the normal forms of its "typical"points through two line fields, which become essential for the subject. We use the Peixoto's Theorem (adapted for this subject) to characterize a structural stable of constrained systems. In the chapter 3, we make a stratification of the impasse surface and, as a last result, we see that stratification is genericity (in the set of all families of constrained systems).
Mestre
Books on the topic "Theorem of Thales. eng"
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Wetering, Ernst. Rembrandt. The Painter Thinking. Edited by Wardy Poelstra. NL Amsterdam: Amsterdam University Press, 2016. http://dx.doi.org/10.5117/9789462981522.
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Even during the artist's lifetime, contemporary art lovers considered Rembrandt van Rijn (1606-1669) to be an exceptional artist. In this revelatory sequel to the acclaimed Rembrandt: The Painter at Work, renowned Rembrandt authority Ernst van de Wetering investigates the painter's considerations that determined the striking changes in his development from an early age onwards. This gorgeously illustrated book explores how Rembrandt achieved mastery by systematic exploration of the 'foundations of the art of painting'. According to written sources from the seventeenth century, which were largely misinterpreted until now, these 'foundations' were considered essential at that time. From his first endeavours in painting, Rembrandt embarked on a journey past these foundations, thus becoming the 'pittore famoso', whom Count Cosimo the Medici visited at the end of his life. Rembrandt never stopped searching for solutions to the pictorial problems that confronted him; this led over time to radical changes that cannot simply be attributed to stylistic evolution or natural development. In a quest as rigorous and novel as the artist's, Van de Wetering reveals how Rembrandt became the revolutionary painter that would continue to fascinate the art world. This ground breaking exploration reconstructs Rembrandt's theories and methods, shedding new light both on the artist's exceptional accomplishments and on the theory and practice of painting in the Dutch Golden Age. Everyone who is interested in the art of painting should read this phenomenal book, because it was written with incredible knowledge and experience on the subject. It shows in a clear and simple way how Rembrandt worked and the things he had to take into account. At the same time it offers a fantastic sample of Rembrandt's life's work, thanks to the well-chosen selection of illustrations. David Rijser, NRC Handelsblad
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Metaphysics of the Pythagorean Theorem: Thales, Pythagoras, Engineering, Diagrams, and the Construction of the Cosmos Out of Right Triangles. State University of New York Press, 2018.
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Darrigol, Olivier. Theories of Heat: Some Background. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198816171.003.0002.
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This is a condensed history of thermodynamics and kinetic-molecular theory in Boltzmann’s times and earlier. In the second half of the nineteenth century, there was a widely shared belief in the kinetic-molecular nature of heat. This belief extended to the generally educated public, thanks to popular accounts such as John Tyndall’s Heat considered as a mode of motion (1863). There still was no consensus on the precise form of this motion. For instance, many French physicists persisted in favoring Ampère’s old vibrational picture. Also, there was no consensus on the fruitfulness of the kinetic-molecular theories. Most physicists did not need more than macroscopic thermodynamics, and there were voices, toward the end of the century, to denounce the disproportion between the difficulty of the kinetic-molecular theories and the amount of usable results. Boltzmann had to face such criticism although he was not alone in his quest for a comprehensive kinetic-molecular view of nature.
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Compton, John W. The End of Empathy. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780190069186.001.0001.
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The End of Empathy develops a theoretical framework to explain both the rise of white Protestant social concern in the latter part of the nineteenth century and its sudden demise at the end of the twentieth. The theory proceeds from the premise that religious conviction by itself is rarely sufficient to motivate empathetic political behavior. When believers do act empathetically—for example, by championing reforms that transfer resources or political influence to less privileged groups within society—it is typically because strong religious institutions have compelled them to do so. For much of the twentieth century, the “mainline” Protestant denominations and ecumenical groups performed this role. At key historical junctures—the Progressive Era, the New Deal, the civil rights movement—the nation’s informal religious establishment used its authority to mobilize rank-and-file churchgoers on behalf of government programs that increased economic opportunity and promoted civic inclusion. When this establishment collapsed in the late 1960s—thanks to a confluence of trends in the labor market, higher education, and residential mobility—it produced a large population of white suburbanites who had little reason to seek out mainline Protestant churches or heed their advice on the burning social questions of the day. The churches that flourished in the new age of personal autonomy were those that preached against attempts by government to promote a more equitable distribution of wealth and political authority.
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Lejri, Sélima. ‘Remedies for Life’: Curing Hysterica Passio in Shakespeare’s Othello, Macbeth and The Winter’s Tale. Edinburgh University Press, 2018. http://dx.doi.org/10.3366/edinburgh/9781474427814.003.0004.
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Sélima Lejri is similarly interested in the coexistence of long-established folklore beliefs in demonism and witchcraft and the emerging scientific etiologies propounded by the physicians of the time. Lejri shows that it is thanks to Edward Jorden’s A Briefe Discourse of A Disease Called the Suffocation of the Mother (1603) that the interpretations of demonic vexation started to give way to the rational alternative of hysteria. It was then that Shakespeare’s interest in the medical theories of physiology, mainly humorism, became palpable. This testifies to the considerable influence of Timothy Bright’s or Edward Jorden’s ideas. Within this context of early modern scientific ‘revolution’ that ushered in the end of witch-hunting and gave large credit to reason over superstition, Shakespeare’s representation of the female body in his Jacobean plays bears the contemporary stamp of his new sources of information. It is Shakespeare’s response to such contemporary scientific theories that Lejri’s chapter aims at tackling through the particular example of Hysterica Passio, a feminine disease much discussed at the time and explicitly referenced in King Lear.
Book chapters on the topic "Theorem of Thales. eng"
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Anglin, W. S., and J. Lambek. "Proof of Gödel’s Incompleteness Theorem." In The Heritage of Thales, 291–92. New York, NY: Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4612-0803-7_61.
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Anglin, W. S., and J. Lambek. "The Fundamental Theorem of Algebra." In The Heritage of Thales, 199–201. New York, NY: Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4612-0803-7_39.
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Anglin, W. S., and J. Lambek. "The Fundamental Theorem of Arithmetic." In The Heritage of Thales, 231–32. New York, NY: Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4612-0803-7_47.
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Anglin, W. S., and J. Lambek. "Pythagorean Triangles and Fermat’s Last Theorem." In The Heritage of Thales, 241–44. New York, NY: Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4612-0803-7_50.
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Sjuts, Johann. "Mathematical, Logical and Strategic Thinking at Thales´ Theorem." In A Life´s Time for Mathematics Education and Problem Solving, 385–92. WTM-Verlag Münster, 2017. http://dx.doi.org/10.37626/ga9783959870641.0.30.
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Balaguer, Mark. "A Worldview." In Metaphysics, Sophistry, and Illusion, 271–74. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198868361.003.0010.
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Chapter 10 briefly articulates the worldview that’s implied (or at least suggested) by the rest of the book. Very roughly, the idea is that neo-positivists can articulate their worldview with a counterfactual that says something roughly like the following: “If there had been a plenitudinous platonic realm (i.e., a plenitudinous realm of abstract objects like numbers and sets and propositions and so on), and if a certain kind of mereological universalism had been true (in particular, if there had existed a huge plurality of tiny mereological simples and unrestricted compositions of those simples, so that there were, e.g., simples arranged tablewise and catwise and moleculewise and so on, and there were also tables and cats and molecules and trout-turkeys and so on), then quantum mechanics would have been true, and evolution theory would have been true, and Zermelo-Frankel set theory would have been true, and so on.”
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Lundgren, Anders. "When a Daring Chemistry Meets a Boring Chemistry: The Reception of Mendeleev’s Periodic System in Sweden." In Early Responses to the Periodic System. Oxford University Press, 2015. http://dx.doi.org/10.1093/oso/9780190200077.003.0017.
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The reception of Mendeleev’s periodic system in Sweden was not a dramatic episode. The system was accepted almost without discussion, but at the same time with no exclamation marks or any other outbursts of enthusiasm. There are but a few weak short-lived critical remarks. That was all. I will argue that the acceptance of the system had no overwhelming effect on chemical practice in Sweden. At most, it strengthened its characteristics. It is actually possible to argue that chemistry in Sweden was more essential for the periodic system than the other way around. My results might therefore suggest that we perhaps have to reevaluate the role of Mendeleev’s system in the history of chemistry. Chemistry in Sweden at the end of the nineteenth century can be characterized as a classifying science, with chemists very skilled in analysis, and as mainly an atheoretical science, which treated theories at most only as hypothesis—the slogan of many chemists being “facts persist, theories vanish.” Thanks to these characteristics, by the end of the nineteenth century, chemistry in Sweden had developed into, it must be said, a rather boring chemistry. This is obviously not to say that it is boring to study such a chemistry. Rather, it gives us an example of how everyday science, a part of science too often neglected but a part that constitutes the bulk of all science done, is carried out. One purpose of this study is to see how a theory, considered to be important in the history of chemistry, influenced everyday science. One might ask what happened when a daring chemistry met a boring chemistry. What happened when a theory, which had been created by a chemist who has been described as “not a laboratory chemist,” met an atheoretical experimental science of hard laboratory work and, as was said, the establishment of facts? Furthermore, could we learn something about the role of the periodic system per se from the study of such a meeting? Mendeleev’s system has often been considered important for teaching, and his attempts to write a textbook are often taken as the initial step in the chain of thoughts that led to the periodic system.
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Murialdo, Francesca. "Practice of Consumption and Spaces for Goods." In Advances in Media, Entertainment, and the Arts, 190–208. IGI Global, 2017. http://dx.doi.org/10.4018/978-1-5225-0666-9.ch010.
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Interiors, intended as the discipline able to build (not only) physical connections in between spaces, people and objects, has deeply changed in the last decades, assuming new roles and aims. Both theory and practice, thanks to its continuous updating, have being able to generate innovative and collaborative insight and solutions, moving fast towards new contents, new tools and different strategies focused on the contemporaneity. In this framework, retail design, both in research and profession, is particularly interesting as an expression of this disciplinary shift, with an approach characterized by multidisciplinarity, experimentation and a strong relational dimension. The change in the significance of goods is a process that, ever since the end of the Industrial Revolution, has triggered far-reaching changes in society as the term has lost any meaning in relation to its purely functional character and increasingly come to represent symbolic and cultural contents. “Practice of Consumption and Spaces for Goods” has the aim to investigate contemporary retail spaces as complex places combining many aspects that go beyond the spatial and functional to include the physical, social, cultural and economic.
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Consoli, Domenico. "The Implementation of a University 2.0 Model." In Social Media in Higher Education, 1–23. IGI Global, 2013. http://dx.doi.org/10.4018/978-1-4666-2970-7.ch001.
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With the advent of Web 2.0 and with the development of interactive tools that allowed users to express opinions and suggestions on different topics, the way to do business, socialize with other people and also the academic environment, both in terms of teaching and research, is changing. In companies, thanks to interactive tools of Web 2.0, managers are in a close contact with end customers to improve the product/service. In the academic world, this technology can be used exploiting e-learning platforms enriched with interactive virtual channels thus promoting the methodology of learning by doing and the constructivist theory of collective participation of students in the knowledge construction. In this context it is also possible to develop a collaborative research between academics and scientists. The number of websites of the science 2.0, with scientific cooperations and the creation and distribution of quality papers in journals, is growing. Also, the ability to manage complex scientific projects and seek funding sources is increasing. In this chapter, the author analyzes different models of e-learning and designs a University 2.0 framework that supports, by advanced Web 2.0 tools, teaching and research in the university.
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Evans, Corinth M. "Interpersonal Communication Application to Leadership." In Encyclopedia of Strategic Leadership and Management, 296–316. IGI Global, 2017. http://dx.doi.org/10.4018/978-1-5225-1049-9.ch022.
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The purpose of this chapter is to study the elements of communication, and to explore the interrelations of interpersonal communication and effective leadership applications. Thanks to the leadership evolution, divergent leadership methodologies have rejuvenated classical studies. An empirical analysis of leadership traits, behaviors, characteristics, types, and styles (e.g., approaches) will be reviewed. Given the theories of leadership, a critical analysis on power and influence are also necessary to understand the sensitivities and delicacies of the leader-follower relationships. Because speaking, listening, writing, and reading are the basic forms of communication, the dynamics of communication is fundamental and an integral element to effective leadership application. Executives, directors, mangers, other leadership staffers, will find this chapter interesting as it aims to link the ideologies of communication-centered and interpersonal trust perspectives to leadership theologies. When analyzing the pragmatics of interpersonal communication, this chapter will examine the behavioral, attitudinal, cognitive-perceptual, and psychosocial processes that attribute to the communicable factors of one's thoughts, ideas, feelings, emotions, motives, attitudes, behaviors, and actions. This chapter may assist leaders in developing social and emotional intelligences. With the relentless pressure to change an organization, emotional and social intelligences give us an entirely new way of looking at the root causes of organizational dysfunctions. The scope and depth of EI and SI, employs interpersonal interactions that cultivates trust and continuity through an exchange of meaningful messages.
Conference papers on the topic "Theorem of Thales. eng"
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A Johnston, Kevin. "The Answer is to Question." In 2003 Informing Science + IT Education Conference. Informing Science Institute, 2003. http://dx.doi.org/10.28945/2614.
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“What did you leam in school today, dear little boy of mine?” asked the lyrics of satirist Tom Paxton a generation ago. “I learned our government must be strong./ It's always right and never wrong..../ That's what I learned in school today.” (A full set of lyrics appears at the end of the paper). Should the role of our classrooms be to serve as dumping grounds for tired old theories, or as launching pads for unfettered inquiries into new exciting worlds? Should we continue to throw out theory and facts, and set answers, or should we embark on a never-ending quest for new questions and insights? On obtaining a degree or diploma, each student should know how to answer questions, but how many know how to ask questions? What would they say when asked “what did you learn in school today?”
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Gatta, Giuseppe, and Fulvio Romano. "A Design Approach of a Fuselage Barrel in Grid Structure." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84166.
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In this paper a design method of a cylindrical fuselage barrel in grid structure to fabricate in composite material is illustrated. The approach can be divided in two phases. In the first step, a lattice structure, that is a grid structure with ribs only and without a skin, is sized thanks to an analytical approach. The independent variables to optimize are five: number of helical ribs, number of circumferential ribs, rib height, circumferential rib thickness, helical rib thickness. Some geometric constraints on the dimensions of the ribs are introduced. The best lattice structure is individuated by an analytical theory due to professor Vasiliev of the Central Research Institute of Special Machine Building (CRISM), the leading Russian Composite Center. The theory is based on the calculation of four safety factors for the helical rib strength, axisymmetric global buckling, non axisymmetric global buckling and the helical rib local buckling. Successively, a finite element analysis is performed in order to verify the analytical results. A software tool developed in Matlab environment prepares the finite element model, runs the finite element solver (MSC/Nastran) and reads the results. In the second step, an outer skin is added and the best lay-up for it is chosen; the maximum failure index for the skin laminate is calculated too. At the end the structure with the minimum weight and all margins of safety positive is individuated. The skin is extremely light so as to minimize overall weight. In the finite element model ribs and skin are simulated with beam and shell elements respectively; for the skin a common high-strength graphite/epoxy composite material is used, for the ribs an isotropic material with properties derived from experimental data. A grid-stiffened structure allows to reduce the structural mass of about 20% respect to a metallic reference baseline. Moreover, it can be quickly constructed by using filament winding technology; the process can be highly automated and the manufacturing costs can be reduced of the 30%.
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Bohan, Zhao, Gao Feng, Li Yan, Zhang Dongya, Zhang Wanli, and Zhou Fei. "Study on Generation and Optimization Methodology of On-Machine Measurement Schemes for Multi-Axis CNC Machine Tool." In ASME 2017 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/imece2017-71263.
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Quality Control (QC) is one of the most important phases in the production process. In tradition, the workpiece must be inspected for dimension and shape errors in the QC lab or Coordinate Measuring Machine (CMM) after being machined, which is time-consuming and labor-intensive, especially for large scale parts. Thus the only practical way to do that is to migrate the critical primary inspection operations upstream from the QC lab or CMM to the production floor, and that’s what On-Machine Measurement (OMM) does. OMM technology can inspect the workpiece on its operating station by motion control and the position detection function of CNC machine tool, by which the measuring error caused by the misalignment between measuring datum and manufacturing datum can be avoided accurately. Therefore, it is a feasible way to achieve the real-time control of the manufacturing process and improve the manufacturing accuracy and efficiency. The servo axes of multi-axis CNC machine tool might be redundant for being used in OMM, which will result in that one measurement task could be done by different servo motion schemes. In addition, the map between the machine accuracy and measuring accuracy has not been found out previously. Thus, how to determine metering schemes to measure a workpiece with high accuracy and efficiency is one of the most important problems and also a hotspot for everybody. To solve this problem, a generation method of task-oriented OMM scheme is proposed. Utilizing multi-body system theory and transformation of homogeneous coordinates, a function relationship between the geometrical characteristic of workpiece as independent variables and motions of machine tool as dependent variables is established. All possible metering schemes are obtained by analyzing the solution of functional equation. Then the performance of measurement scheme can be evaluated by comparing the measuring errors of each scheme after building a mapping relationship between the machine tool volumetric errors and measuring errors. In the end, a case study was accomplished, and the correctness and efficiency of the methodology has been verified.
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Martin, Holger. "Reynolds, Maxwell, and the Radiometer, Revisited." In 2010 14th International Heat Transfer Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/ihtc14-22023.
Full textAbstract:
In 1969, S. G. Brush and C. W. F. Everitt published a historical review, that was reprinted as subchapter 5.5 Maxwell, Osborne Reynolds, and the radiometer, in Stephen G. Brush’s famous book The Kind of Motion We Call Heat. This review covers the history of the explanation of the forces acting on the vanes of Crookes radiometer up to the end of the 19th century. The forces moving the vanes in Crookes radiometer (which are not due to radiation pressure, as initially believed by Crookes and Maxwell) have been recognized as thermal effects of the remaining gas by Reynolds — from his experimental and theoretical work on Thermal Transpiration and Impulsion, in 1879 — and by the development of the differential equations describing Thermal Creeping Flow, induced by tangential stresses due to a temperature gradient on a solid surface by Maxwell, earlier in the same year, 1879. These fundamental physical laws have not yet made their way into the majority of textbooks of heat transfer and fluid mechanics so far. A literature research about the terms of Thermal Transpiration and Thermal Creeping Flow, in connection with the radiometer forces, resulted in a large number of interesting papers; not only the original ones as mentioned in subchapter 5.5 of Brush’s book, but many more in the earlier twentieth century, by Martin Knudsen, Wilhelm Westphal, Albert Einstein, Theodor Sexl, Paul Epstein and others. The forces as calculated from free molecular flow (by Knudsen), increase linearly with pressure, while the forces from Maxwell’s Thermal Creeping Flow decrease with pressure. In an intermediate range of pressures, depending on the characteristic geometrical dimensions of flow channels or radiometer vanes, an appropriate interpolation between these two kinds of forces, as suggested by Wilhelm Westphal and later by G. Hettner, goes through a maximum. Albert Einstein’s approximate solution of the problem happens to give the order of magnitude of the forces in the maximum range. A comprehensive formula and a graph of the these forces versus pressure combines all the relevant theories by Knudsen (1910), Einstein (1924), Maxwell (1879) (and Hettner (1926), Sexl (1928), and Epstein (1929) who found mathematical solutions for Maxwells creeping flow equations for non-isothermal spheres and circular discs, which are important for thermophoresis and for the radiometer). The mechanism of Thermal Creeping Flow will become of increasing interest in micro- and submicro-channels in various new applications, so it ought to be known to every graduate student of heat transfer in the future. That’s one of the reasons why some authors have recently questioned the validity of the classical Navier-Stokes, Fourier, and Fick equations: Dieter Straub (1996) published a book on an Alternative Mathematical Theory of Non-equilibrium Phenomena. Howard Brenner (since 2005) wrote a number of papers, like Navier-Stokes, revisited, and Bi-velocity hydrodynamics, explicitly pointing to the forces acting on the vanes of the lightmill, to thermophoresis and related phenomena. Franz Durst (since 2006) also developed modifications of the classical Navier-Stokes equations. So, Reynolds, Maxwell, and the radiometer may finally have initiated a revision of the fundamental equations of thermofluiddynamics and heat- and mass transfer.