Academic literature on the topic 'Calculus – History'

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Journal articles on the topic "Calculus – History"

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Katz, Victor J. "Using the history of calculus to teach calculus." Science and Education 2, no. 3 (1993): 243–49. http://dx.doi.org/10.1007/bf00490066.

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Cirillo, Michelle. "Humanizing Calculus." Mathematics Teacher 101, no. 1 (2007): 23–27. http://dx.doi.org/10.5951/mt.101.1.0023.

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The history and the mathematics used by Newton and Leibniz in their invention of calculus. The exploration of this topic is intended to show students that mathematics is a human invention. Suggestions are made to help teachers incorporate the mathematics and the history into their own lessons.
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Machado, J. Tenreiro, Virginia Kiryakova, and Francesco Mainardi. "Recent history of fractional calculus." Communications in Nonlinear Science and Numerical Simulation 16, no. 3 (2011): 1140–53. http://dx.doi.org/10.1016/j.cnsns.2010.05.027.

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Alexander, Amir. "The Secret Spiritual History of Calculus." Scientific American 310, no. 4 (2014): 82–85. http://dx.doi.org/10.1038/scientificamerican0414-82.

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Vergadia, Ankita, Neeraj Bansal, and Nitin Gupta. "Giant vesical calculus." International Journal of Research in Medical Sciences 7, no. 7 (2019): 2842. http://dx.doi.org/10.18203/2320-6012.ijrms20192931.

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Author presented a case report of a 42-year-old male patient who presented with dysuria, heaviness in lower abdomen since last 3 years associated with pain over bilateral lumber region since 2 years. He had history of recurrent urinary tract infection for last 6 months with blood in urine occasionally. Routine urine examination detected red and white blood cells with culture growth of E. coli. Ultrasound of abdomen confirmed the presence of vesical calculus of 10x7x5 cm.
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Swoyer, Chris. "C.I.Lewis’s calculus of predicates." History and Philosophy of Logic 16, no. 1 (1995): 19–37. http://dx.doi.org/10.1080/01445349508837238.

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Otero, Daniel E. "Calculus Gems." British Journal for the History of Mathematics 36, no. 3 (2021): 219–21. http://dx.doi.org/10.1080/26375451.2021.1997199.

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Ehrhardt, Caroline. "CARAMALHO DOMINGUES (João), Lacroix and the Calculus." Histoire de l'éducation, no. 123 (July 1, 2009): 127–31. http://dx.doi.org/10.4000/histoire-education.2039.

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Arndt, Michael. "The Explosion Calculus." Studia Logica 108, no. 3 (2019): 509–47. http://dx.doi.org/10.1007/s11225-019-09861-6.

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Schroeder-Heister, Peter. "Frege and the resolution calculus." History and Philosophy of Logic 18, no. 2 (1997): 95–108. http://dx.doi.org/10.1080/01445349708837278.

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Dissertations / Theses on the topic "Calculus – History"

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Guicciardini, N. "The development of the Newtonian fluxional calculus in the eighteenth century." Thesis, Middlesex University, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.378068.

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Rezende, Wanderley Moura. "O ensino de cálculo: dificuldades de natureza epistemológica." Universidade de São Paulo, 2003. http://www.teses.usp.br/teses/disponiveis/48/48134/tde-27022014-121106/.

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São notórias e bem evidentes as dificuldades de aprendizagem no ensino de Cálculo. Algumas tentativas de resolver, ou pelo menos, amenizar, este problema têm sido realizadas tanto no campo pedagógico quanto no âmbito da pesquisa. Muitas dessas ações, inseridas no próprio contexto do ensino superior de Cálculo, partem do pressuposto que essas dificuldades de aprendizagem são de natureza psicológica, internas ao sujeito aprendiz. No entanto, contrariando esta tendência, esta pesquisa pretende mostrar que parte significativa dos problemas de aprendizagem do atual ensino de Cálculo é de naturez
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Rautenberg, Robson Raulino. "Os teoremas de pappus para os sólidos de revolução." Universidade Tecnológica Federal do Paraná, 2013. http://repositorio.utfpr.edu.br/jspui/handle/1/471.

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Capes<br>A partir dos teoremas encontrados na publicação Geometriae Pars Universalis de 1668 são apresentadas, pela primeira vez em português, as demonstrações dos teoremas de Pappus para os sólidos de revolução. Essa publicação, escrita originalmente em latim, foi feita pelo matemático escocês James Gregory (1638-1675) e é anterior ao desenvolvimento do Cálculo. Além disso, alguns conceitos de Cálculo e de centro de gravidade são revistos a fim de também apresentarumademonstraçãodessesteoremasapartirdessasferramentas. Ainda são feitas algumas aplicações dos teoremas de Pappus para os casos dir
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Oliveira, Daniel Gustavo de. "Explorando o conceito de derivada em sala de aula, a partir de suas aplicações e sob uma perspectiva histórica." Programa de Pós-Graduação em Educação Matemática. Departamento de Matemática, Instituto de Ciências Exatas e Biológicas, Universidade Federal de Ouro Preto, 2011. http://www.repositorio.ufop.br/handle/123456789/2517.

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Submitted by Stéfany Moreira (stemellra@yahoo.com.br) on 2013-03-04T15:14:40Z No. of bitstreams: 1 DISSERTAÇÃO_ExplorandoConceitoDerivada.pdf: 802988 bytes, checksum: 66bec898433fb69c9c25d53eaa69c380 (MD5)<br>Approved for entry into archive by Neide Nativa (neide@sisbin.ufop.br) on 2013-03-13T18:01:47Z (GMT) No. of bitstreams: 1 DISSERTAÇÃO_ExplorandoConceitoDerivada.pdf: 802988 bytes, checksum: 66bec898433fb69c9c25d53eaa69c380 (MD5)<br>Made available in DSpace on 2013-03-13T18:01:47Z (GMT). No. of bitstreams: 1 DISSERTAÇÃO_ExplorandoConceitoDerivada.pdf: 802988 bytes, checksum: 66bec89843
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Barbosa, Everaldo Fernandes. "A regra de L'Hopital : analise historica da regra de L'Hopital : a importancia da historia da matematica na disciplina de calculo." [s.n.], 2008. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307033.

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Orientador: Eduardo Sebastiani Ferreira<br>Dissertação (mestrado profissional) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-12T03:21:28Z (GMT). No. of bitstreams: 1 Barbosa_EveraldoFernandes_M.pdf: 1794993 bytes, checksum: 01c4bbbd9b51e865b9cd4a4ab2c470e3 (MD5) Previous issue date: 2008<br>Resumo: O trabalho apresenta uma biografia do marquês de L'Hôpital e de Johann Bernoulli e as discussões sobre o cálculo do limite de uma função racional cujo numerador e denominador tendem a zero (conhecida como Re
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Escher, Marco Antonio [UNESP]. "Dimensões teórico-metodológicas do cálculo diferencial e integral: perspectivas histórica e de ensino e aprendizagem." Universidade Estadual Paulista (UNESP), 2011. http://hdl.handle.net/11449/102095.

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Made available in DSpace on 2014-06-11T19:31:42Z (GMT). No. of bitstreams: 0 Previous issue date: 2011-08-06Bitstream added on 2014-06-13T19:02:11Z : No. of bitstreams: 1 escher_ma_dr_rcla.pdf: 3626511 bytes, checksum: 6b993dcf64cfda8824886b62a98bfc70 (MD5)<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)<br>Esta pesquisa descreve um Cenário de Investigação criado por algumas dimensões teórico-metodológicas, as quais apresentam, em duas perspectivas inter-relacionadas, as influências, limites e potencialidades do uso das Tecnologias de Informação e Comunicação no Cálcul
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Ribeiro, Marcos Vinícius [UNESP]. "O ensino do conceito de integral, em sala de aula, com recursos da história da matemática e da resolução de problemas." Universidade Estadual Paulista (UNESP), 2010. http://hdl.handle.net/11449/91053.

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Made available in DSpace on 2014-06-11T19:24:52Z (GMT). No. of bitstreams: 0 Previous issue date: 2010-02-18Bitstream added on 2014-06-13T19:32:00Z : No. of bitstreams: 1 ribeiro_mv_me_rcla.pdf: 7033726 bytes, checksum: 8a58e5b1dcf82ba99bf136eee43cf172 (MD5)<br>Como professor de uma Faculdade de Engenharia e responsável por disciplinas de Cálculo Diferencial e Integral, pude vivenciar muitas inquietações no processo de ensino e aprendizagem desse ramo da Matemática e constatar dificuldades encontradas nesse processo e, em especial, no ensino e na aprendizagem de Integrais. Nosso Fenômeno de
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Raad, Marcos Ribeiro. "História do ensino de cálculo diferencial e integral: a existência de uma cultura." reponame:Repositório Institucional da UFSC, 2012. https://repositorio.ufsc.br/xmlui/handle/123456789/161840.

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DISSERTAÇÃO_MARCOS RIBEIRO RAAD<br>Submitted by Carla Terezinha Botelho Torrez null (carla.torrez@ufsc.br) on 2016-05-15T19:18:03Z No. of bitstreams: 1 DISSERTAÇÃO-DE-MESTRADO-_-Marcos-Raad.pdf: 5997788 bytes, checksum: b148e79924e31f487eb0d2c5af4a437a (MD5)<br>Made available in DSpace on 2016-05-15T19:18:03Z (GMT). No. of bitstreams: 1 DISSERTAÇÃO-DE-MESTRADO-_-Marcos-Raad.pdf: 5997788 bytes, checksum: b148e79924e31f487eb0d2c5af4a437a (MD5) Previous issue date: 2012<br>O presente trabalho tem como objetivo o estudo histórico sobre o ensino da disciplina Cálculo Diferenci
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Oliveira, Cristiano José Rocha Ferreira de. "Cálculo diferencial: uma abordagem histórico-social e possibilidades de introdução no ensino médio." Universidade Federal de Goiás, 2018. http://repositorio.bc.ufg.br/tede/handle/tede/8697.

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Submitted by Liliane Ferreira (ljuvencia30@gmail.com) on 2018-07-13T12:06:00Z No. of bitstreams: 2 Dissertação - Cristiano José Rocha Ferreira de Oliveira - 2018.pdf: 3335248 bytes, checksum: 52f6196fe08e904e2cb1131828f97b97 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)<br>Approved for entry into archive by Liliane Ferreira (ljuvencia30@gmail.com) on 2018-07-16T13:40:41Z (GMT) No. of bitstreams: 2 Dissertação - Cristiano José Rocha Ferreira de Oliveira - 2018.pdf: 3335248 bytes, checksum: 52f6196fe08e904e2cb1131828f97b97 (MD5) license_rdf: 0 bytes, checksum: d41d
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Curran, Timothy Michael. "Arguably the scheme that conquered the infinite." CSUSB ScholarWorks, 1994. https://scholarworks.lib.csusb.edu/etd-project/877.

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Books on the topic "Calculus – History"

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Radcliffe, Catrin Alis. The history of Calculus. Oxford Brookes University, 1999.

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Marx demystifies calculus. MEP Publications, 1985.

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The calculus gallery: Masterpieces from Newton to Lebesgue. Princeton University Press, 2005.

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Lacroix and the calculus. Birkhäuser, 2008.

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Dunham, William. Bisekibun meisaku gyararī: Nyūton kara rubēgu made. Nihon Hyōronsha, 2009.

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Priestley, William McGowen. Calculus: A liberal art. 2nd ed. Springer, 1998.

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Hrbacek, Karel. Analysis with ultrasmall numbers. CRC Press, Taylor & Francis Group, 2015.

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Grabiner, Judith V. The origins of Cauchy's rigorous calculus. Dover Publications, 2005.

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Gruszecki, Lech. Infinitesimals in the calculus: From ancient to modern times. Wydawnictwo KUL, 2013.

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Hahn, Alexander. Basic calculus: From Archimedes to Newton to its role in science. Springer, 1998.

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Book chapters on the topic "Calculus – History"

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Grady, Leo J., and Jonathan R. Polimeni. "Discrete Calculus: History and Future." In Discrete Calculus. Springer London, 2010. http://dx.doi.org/10.1007/978-1-84996-290-2_1.

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Bourbaki, Nicolas. "Infinitesimal Calculus." In Elements of the History of Mathematics. Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-61693-8_17.

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Zuccheri, Luciana, and Verena Zudini. "History of Teaching Calculus." In Handbook on the History of Mathematics Education. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-9155-2_24.

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Raju, C. K. "Calculus." In Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures. Springer Netherlands, 2015. http://dx.doi.org/10.1007/978-94-007-3934-5_9555-2.

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Raju, C. K. "Calculus." In Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures. Springer Netherlands, 2016. http://dx.doi.org/10.1007/978-94-007-7747-7_9555.

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Hoffman, Johan, Claes Johnson, and Anders Logg. "A Brief History of Mathematics Education." In Dreams of Calculus. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-642-18586-1_3.

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Raju, C. K. "Calculus Transmission." In Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures. Springer Netherlands, 2015. http://dx.doi.org/10.1007/978-94-007-3934-5_10326-1.

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Raju, C. K. "Calculus Transmission." In Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures. Springer Netherlands, 2016. http://dx.doi.org/10.1007/978-94-007-7747-7_10326.

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Gordon, E. I., A. G. Kusraev, and S. S. Kutateladze. "Excursus into the History of Calculus." In Infinitesimal Analysis. Springer Netherlands, 2002. http://dx.doi.org/10.1007/978-94-017-0063-4_1.

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Allen, Jont. "Stream 3A: Scalar Calculus." In An Invitation to Mathematical Physics and Its History. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-53759-3_4.

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Conference papers on the topic "Calculus – History"

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Eberhart, Clovis, та Bartek Klin. "History-Dependent Nominal μ-Calculus". У 2019 34th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS). IEEE, 2019. http://dx.doi.org/10.1109/lics.2019.8785736.

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Balyuba, Ivan, and Evgeniy Konopatskiy. "Point calculus. Historical background and basic definitions." In International Conference "Computing for Physics and Technology - CPT2020". ANO «Scientific and Research Center for Information in Physics and Technique», 2020. http://dx.doi.org/10.30987/conferencearticle_5fd755c0adb1d9.27038265.

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The paper describes the history of the origin and formation the mathematical apparatus «Point calculus», as one of the scientific directions of the Melitopol school of applied geometry. A brief description of point calculus as a mathematical device that operates within an arithmetic, coordinate affine space, equipped with a topological structure. The basic definitions of point calculus are presented, including point parameters and point equations, space simplex and global coordinate system, independent and current points.
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Bussotti, Paolo. "A NEW PERSPECTIVE ON MATHEMATICS EDUCATION COMING FROM HISTORY: THE EXAMPLE OF INTEGRAL CALCULUS." In SCIENCE AND TECHNOLOGY EDUCATION: DEVELOPING A GLOBAL PERSPECTIVE. Scientia Socialis Ltd., 2021. http://dx.doi.org/10.33225/balticste/2021.16.

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This research deals with a possible use of history of mathematics in mathematics education. In particular, history can be a fundamental element for the introduction of the concept of integral through a problem-centred and intuitive approach. Therefore, what follows is dedicated to the teaching of mathematics in the last years of secondary schools, where infinitesimal calculus is addressed. The thesis here proposed is that the resort to Archimedes’ use of exhaustion method and to Newton’s initial lemmas expounded in his Principia Mathematica are useful means to reach a genetic comprehension of
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Narahari Achar, B. N., Carl F. Lorenzo, and Tom T. Hartley. "Initialization Issues of the Caputo Fractional Derivative." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84348.

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The importance of proper initialization in taking into account the history of a system whose time evolution is governed by a differential equation of fractional order, has been established by Lorenzo and Hartley, who also gave the method of properly incorporating the effect of the past (history) by means of an initialization function for the Riemann-Liouville and the Grunwald formulations of fractional calculus. The present work addresses this issue for the Caputo fractional derivative and cautions that the commonly held belief that the Caputo formulation of fractional derivatives properly acc
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Coopmans, Calvin, Ivo Petra´sˇ, and YangQuan Chen. "Analogue Fractional-Order Generalized Memristive Devices." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-86861.

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Memristor is a new electrical element which has been predicted and described in 1971 by Leon O. Chua and for the first time realized by HP laboratory in 2008. Chua proved that memristor behavior could not be duplicated by any circuit built using only the other three elements (resistor, capacitor, inductor), which is why the memristor is truly fundamental. Memristor is a contraction of memory resistor, because that is exactly its function: to remember its history. The memristor is a two-terminal device whose resistance depends on the magnitude and polarity of the voltage applied to it and the l
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Fernández, Maribel, and Fabien Fleutot. "A historic functional and object-oriented calculus." In the 8th ACM SIGPLAN symposium. ACM Press, 2006. http://dx.doi.org/10.1145/1140335.1140353.

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"PREVALENCIA, CLÍNICA Y TASA DE VACUNACIÓN FRENTE A LA COVID 19 EN UNA POBLACIÓN DE PACIENTES DIAGNOSTICADOS DE ESQUIZOFRENIA DUAL." In 23° Congreso de la Sociedad Española de Patología Dual (SEPD) 2021. SEPD, 2021. http://dx.doi.org/10.17579/sepd2021p008v.

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INTRODUCCIÓN A 19 de agosto de 2021 los casos diagnosticados en España de COVID 19 son 4.758.003, con una prevalencia de 10,03%. El 72,4% de la población andaluza mayor de 12 años tienen la pauta de vacunación completa. OBJETIVOS El objetivo principal de nuestro estudio es calcular la prevalencia de infección por COVID 19 en una población de pacientes diagnosticados de esquizofrenia dual. Como objetivos secundarios: En los casos confirmados de infección por COVID 19, ver su evolución clínica, determinando la tasa de ingreso en planta COVID, ingreso en U.C.I. y mortalidad. Calcular el porcentaj
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"PREVALENCIA, CLÍNICA Y TASA DE VACUNACIÓN FRENTE A LA COVID 19 EN UNA POBLACIÓN DE PACIENTES DIAGNOSTICADOS DE ESQUIZOFRENIA DUAL." In 23° Congreso de la Sociedad Española de Patología Dual (SEPD) 2021. SEPD, 2021. http://dx.doi.org/10.17579/sepd2021p008s.

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INTRODUCCIÓN A 19 de agosto de 2021 los casos diagnosticados en España de COVID 19 son 4.758.003, con una prevalencia de 10,03%. El 72,4% de la población andaluza mayor de 12 años tienen la pauta de vacunación completa. OBJETIVOS El objetivo principal de nuestro estudio es calcular la prevalencia de infección por COVID 19 en una población de pacientes diagnosticados de esquizofrenia dual. Como objetivos secundarios: En los casos confirmados de infección por COVID 19, ver su evolución clínica, determinando la tasa de ingreso en planta COVID, ingreso en U.C.I. y mortalidad. Calcular el porcentaj
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RODRIGUES, Isabelle Medeiros, João Francisco Bianchini de TOLEDO, Thiago Abreu SAMAN, and Mário dos Santos FILHO. "UNILATERAL HYDRONEPHROSIS DUE TO URETER OBSTRUCTION AFTER OVARIO-HYSTERECTOMY IN A FELINE - CASE REPORT." In SOUTHERN BRAZILIAN JOURNAL OF CHEMISTRY 2021 INTERNATIONAL VIRTUAL CONFERENCE. DR. D. SCIENTIFIC CONSULTING, 2022. http://dx.doi.org/10.48141/sbjchem.21scon.34_abstract_rodrigues.pdf.

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Hydronephrosis is characterized by the renal pelvis and calyces distension resulting from total or partial urinary outflow obstruction. Ureter injuries are recognized complications of abdominal surgeries, especially sterilization, due to the frequency which they are performed in cats and dogs and the proximity between the ureter and the uterine stump. Some injuries may be acute or chronic, uni or bilaterally, affecting the urinary tract segment parts. Therefore, diagnosis is very important, especially early on, since it makes immediate management easier and may result in a better prognosis, es
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"O-015 - PATOLOGÍA DUAL EN PACIENTES INGRESADOS EN UNA UNIDAD HOSPITALARIA DE SALUD MENTAL." In 24 CONGRESO DE LA SOCIEDAD ESPAÑOLA DE PATOLOGÍA DUAL. SEPD, 2022. http://dx.doi.org/10.17579/abstractbooksepd2022.o015.

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OBJETIVOS: 1.Calcular la frecuencia de patología dual en un servicio hospitalario de corta estancia. 2. Determinar los diagnósticos principales 3. Estratificar por sexo, edad, y describir los reingresos, alteraciones conductuales. MATERIAL y MÉTODOS: La patología dual, existencia simultánea de un trastorno de drogodependencia y otra patología psiquiátrica en una misma persona, tiene una elevada gravedad psicopatológica, médica y social. Durante el último año en la unidad Hospitalaria de Salud Mental de La Línea DE lA concepción (Cádiz) ingresaron 220 pacientes. De éstos, 70 tenían patología du
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