Relevant bibliographies by topics / Irrational number

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Irrational number'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Irrational number"

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Griffiths, Martin, and Des MacHale. "99.04 Another irrational number." Mathematical Gazette 99, no. 544 (2015): 130–33. http://dx.doi.org/10.1017/mag.2014.17.

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Ross, Marty. "Irrational thoughts." Mathematical Gazette 88, no. 511 (2004): 68–78. http://dx.doi.org/10.1017/s0025557200174248.

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This number arises naturally, of course, as the hypotenuse of a right triangle with legs of length 1. Notoriously, √2 was found to be irrational by the Pythagoreans in around 500 BC. Their mathematics and philosophy was based upon natural numbers and small number ratios, and thus this discovery would have been very troubling: the Pythagoreans wouldn’t be the only ones to react badly to the imposition of the irrational.
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HERNÁNDEZ-CORBATO, LUIS, RAFAEL ORTEGA, and FRANCISCO R. RUIZ DEL PORTAL. "Attractors with irrational rotation number." Mathematical Proceedings of the Cambridge Philosophical Society 153, no. 1 (2011): 59–77. http://dx.doi.org/10.1017/s0305004111000788.

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AbstractLet h: 2 → 2 be a dissipative and orientation preserving homeomorphism having an asymptotically stable fixed point. Let U be the region of attraction and assume that it is proper and unbounded. Using Carathéodory's prime ends theory one can associate a rotation number, ρ, to h|U. We prove that any map in the above conditions and with ρ ∉ induces a Denjoy homeomorphism in the circle of prime ends. We also present some explicit examples of maps in this class and we show that, if the infinity point is accessible by an arc in U, ρ ∉ if and only if Per(h) = Fix(h) = {p}.
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Sirotic, N., and R. Zazkis. "Irrational numbers on the number line – where are they?" International Journal of Mathematical Education in Science and Technology 38, no. 4 (2007): 477–88. http://dx.doi.org/10.1080/00207390601151828.

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Tall, Franklin D. "An irrational problem." Fundamenta Mathematicae 175, no. 3 (2002): 259–69. http://dx.doi.org/10.4064/fm175-3-3.

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Obersteiner, Andreas, and Veronika Hofreiter. "Do we have a sense for irrational numbers?" Journal of Numerical Cognition 2, no. 3 (2017): 170–89. http://dx.doi.org/10.5964/jnc.v2i3.43.

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Number sense requires, at least, an ability to assess magnitude information represented by number symbols. Most educated adults are able to assess magnitude information of rational numbers fairly quickly, including whole numbers and fractions. It is to date unclear whether educated adults without training are able to assess magnitudes of irrational numbers, such as the cube root of 41. In a computerized experiment, we asked mathematically skilled adults to repeatedly choose the larger of two irrational numbers as quickly as possible. Participants were highly accurate on problems in which reaso
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Ambrož, P., C. Frougny, Z. Masáková, and E. Pelantová. "Arithmetics on number systems with irrational bases." Bulletin of the Belgian Mathematical Society - Simon Stevin 10, no. 5 (2003): 641–59. http://dx.doi.org/10.36045/bbms/1074791323.

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Chen, Chen, Jun-an Lu, and Xiaoqun Wu. "Complex networks constructed from irrational number sequences." Physica A: Statistical Mechanics and its Applications 389, no. 13 (2010): 2654–62. http://dx.doi.org/10.1016/j.physa.2010.02.033.

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Turpin, Mark. "A pseudorotation with quadratic irrational rotation number." Proceedings of the American Mathematical Society 140, no. 1 (2011): 227–33. http://dx.doi.org/10.1090/s0002-9939-2011-10886-4.

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Faivre, C. "The lévy constant of an irrational number." Acta Mathematica Hungarica 74, no. 1-2 (1997): 57–61. http://dx.doi.org/10.1007/bf02697876.

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Dissertations / Theses on the topic "Irrational number"

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Ettle, Joseph Lewis Williams Stephen L. "Irrational exuberance : calculating the total number of museums in the United States /." Waco, Tex. : Baylor University, 2006. http://hdl.handle.net/2104/4196.

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Spolaor, Silvana de Lourdes Gálio. "Números irracionais: e e." Universidade de São Paulo, 2013. http://www.teses.usp.br/teses/disponiveis/55/55136/tde-02102013-160720/.

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Nesta dissertação são apresentadas algumas propriedades de números reais. Descrevemos de maneira breve os conjuntos numéricos N, Z, Q e R e apresentamos demonstrações detalhadas da irracionalidade dos números \'pi\' e e. Também, apresentamos um texto sobre o número e, menos técnico e mais intuitivo, na tentativa de auxiliar o professor no preparo de aulas sobre o número e para alunos do Ensino Médio, bem como, alunos de cursos de Licenciatura em Matemática<br>In this thesis we present some properties of real numbers. We describe briefly the numerical sets N, Z, Q and R, and we present detaile
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Genienė, Danutė Regina. "Limit theorems for Lerch zeta-functions with algebraic irrational parameter." Doctoral thesis, Lithuanian Academic Libraries Network (LABT), 2010. http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2009~D_20100204_102902-68601.

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Limit theorems in the sense of weak convergence of probability measures for the Lerch zeta-function with algebraic irrational parameter are obtained. A theorem of mentioned type on the complex plane, a joint limit theorem for a collection of Lerch zeta-functions on the complex plane as well as a limit theorem in the space of analytic functions are proved. The theorems obtained characterize the asymptotic behaviour of the Lerch zeta-function and can be applied in the investigation of the universality of that function.<br>Yra gautos Lercho dzeta funkcijos su algebriniu iracionaliuoju parametru r
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Henry, Michael A. "Various Old and New Results in Classical Arithmetic by Special Functions." Kent State University / OhioLINK, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=kent1524583992694218.

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Boff, Daiane Scopel. "A construção dos números reais na escola básica." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2006. http://hdl.handle.net/10183/11188.

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Este trabalho busca, num primeiro momento, caracterizar a problemática aprendizagem do número real na Escola Básica, aplicando questionários-sondagem, analisando livros didáticos e comparando-os com os Parâmetros Curriculares Nacionais. Num segundo momento desenvolvemos um efetivo estudo de Matemática: as maneiras mais comuns de se construir números reais e a equivalência entre todas elas. Mostramos também como, a partir de cada uma destas abordagens, chega-se à representação decimal de um número real positivo. Finalizamos com uma proposta pedagógica para o Ensino Fundamental, e uma experiênci
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Silva, Guimarães Vieira da. "Irracionalidade e transcendência: aspectos elementares." Universidade Federal do Tocantins, 2018. http://hdl.handle.net/11612/978.

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O presente trabalho tem como perspectiva a caracterização dos números Racionais e Irracionais, e a sua devida aplicabilidade e variações no que tange o aspecto algébrico e transcendental. Sabe-se que o Número e (de Euler), pode ser classificado como um número transcendental, isto é, aqueles que não são raízes de nenhum polinômio que possua coeficientes inteiros. Nesse pressuposto, o Número deve ser considerado existente e irracional. O objetivo desta pesquisa consiste em caracterizar os fatores que abrangem os Números Racionais e Irracionais, oferecendo a compreensão necessária referente
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Genienė, Danutė Regina. "Lercho dzeta funkcijų su algebriniu iracionaliuoju parametru ribinės teoremos." Doctoral thesis, Lithuanian Academic Libraries Network (LABT), 2010. http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2009~D_20100204_102916-44120.

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Yra gautos Lercho dzeta funkcijos su algebriniu iracionaliuoju parametru ribinės teoremos silpno tikimybinių matų konvergavimo prasme. Yra įrodyta minėto tipo teorema kompleksinėje plokštumoje, jungtinė ribinė teorema Lercho dzeta funkcijų rinkiniui kompleksinėje plokštumoje ir teorema analizinių funkcijų erdvėje. Įrodytos teoremos charakterizuoja Lercho dzeta funkcijų asimptotinį elgesį ir gali būti taikomos šios funkcijos universalumui tirti.<br>Limit theorems in the sense of weak convergence of probability measures for the Lerch zeta-function with algebraic irrational parameter are obtained
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Salazar, Francisco Javier Tipán. "Pseudo-rotações irracionais do anel fechado." Universidade de São Paulo, 2008. http://www.teses.usp.br/teses/disponiveis/45/45132/tde-19092008-130329/.

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O conceito de número de rotação originalmente definido para homeomorfismos do círculo S1 que preservam orientação pode ser generalizado para todo homeomorfismo h do anel fechado S1×[0; 1] isotópico à identidade, onde obtemos o chamado conjunto de rotação. Neste trabalho estudamos o caso em que o conjunto de rotação de h se reduz somente a um número irracional ? (neste caso dizemos que h é uma pseudo-rotação irracional), obtendo que para qualquer inteiro positivo n, existe um arco simples ? que une uma componente do bordo do anel à outra, de tal modo que ? é disjunto de seus n primeiros itera
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Torres, Mário Régis Rebouças. "Números algébricos e transcendentes." reponame:Repositório Institucional da UFC, 2017. http://www.repositorio.ufc.br/handle/riufc/25736.

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TORRES, Máro Règis Rebouças. Números algébricos e transcendentes. 66 f. Dissertação (Mestrado Profissional em Matemática) - Centro de Ciências, Universidade Federal do Ceará, Fortaleza, 2017.<br>Submitted by Jessyca Silva (jessyca@mat.ufc.br) on 2017-09-15T05:05:08Z No. of bitstreams: 1 2017_dis_mrrtorres.pdf: 1191154 bytes, checksum: bcb31593bd1a02e84caee6bd47906dab (MD5)<br>Approved for entry into archive by Rocilda Sales (rocilda@ufc.br) on 2017-09-15T11:00:00Z (GMT) No. of bitstreams: 1 2017_dis_mrrtorres.pdf: 1191154 bytes, checksum: bcb31593bd1a02e84caee6bd47906dab (MD5)<br>Made avail
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Cruz, Junior Jorge Mageste da. "A matemática por trás de um número: razão áurea." Universidade Federal de Juiz de Fora, 2014. https://repositorio.ufjf.br/jspui/handle/ufjf/702.

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Submitted by Renata Lopes (renatasil82@gmail.com) on 2016-02-11T11:30:44Z No. of bitstreams: 1 jorgemagestedacruzjunior.pdf: 2261526 bytes, checksum: 2e39ac93f53b7c28ef8a81bcdcd222af (MD5)<br>Approved for entry into archive by Adriana Oliveira (adriana.oliveira@ufjf.edu.br) on 2016-02-26T11:58:03Z (GMT) No. of bitstreams: 1 jorgemagestedacruzjunior.pdf: 2261526 bytes, checksum: 2e39ac93f53b7c28ef8a81bcdcd222af (MD5)<br>Made available in DSpace on 2016-02-26T11:58:03Z (GMT). No. of bitstreams: 1 jorgemagestedacruzjunior.pdf: 2261526 bytes, checksum: 2e39ac93f53b7c28ef8a81bcdcd222af (MD5)
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Books on the topic "Irrational number"

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Flannery, David. The square root of 2: A dialogue concerning a number and a sequence. COPERNICUS, 2005.

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The square root of 2: A dialogue concerning a number and a sequence. Copernicus, in association with Praxis Pub., 2006.

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The sum of our discontent: 1 2 3 4 5, how numbers make us irrational. Thompson/Texere, 2004.

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Więsław, Witold. Liczby niewymierne. CODN, 1992.

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May, Leo. Empirical relations between some irrational transcendental mathematical universal constants. Roderer, 1997.

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Pi. Morgan Reynolds Publishing, 2014.

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Caveing, Maurice. L' irrationalité dans les mathématiques grecques jusqu'à Euclide. Presses universitaires du Septentrion, 1998.

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Rittaud, Benoît. Le fabuleux destin de [racine carrée de] 2. Le Pommier, 2006.

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Platon et l'irrationnel mathématique. Éditions de l'éclat, 2011.

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Mathematische Irrationalität bei Theodoros und Theaitetos: Ein Versuch der Wiedergewinnung ihrer Theorien. P. Lang, 1994.

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Book chapters on the topic "Irrational number"

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Weik, Martin H. "irrational number." In Computer Science and Communications Dictionary. Springer US, 2000. http://dx.doi.org/10.1007/1-4020-0613-6_9611.

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Loeb, Arthur L. "An Irrational Number." In Concepts & Images. Birkhäuser Boston, 1993. http://dx.doi.org/10.1007/978-1-4612-0343-8_14.

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Motzer, Renate. "Irrational Numbers." In essentials. Springer Fachmedien Wiesbaden, 2021. http://dx.doi.org/10.1007/978-3-658-32574-9_8.

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Aigner, Martin, and Günter M. Ziegler. "Some irrational numbers." In Proofs from THE BOOK. Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-662-22343-7_6.

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Aigner, Martin, and Günter M. Ziegler. "Some irrational numbers." In Proofs from THE BOOK. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-00856-6_7.

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Aigner, Martin, and Günter M. Ziegler. "Some irrational numbers." In Proofs from THE BOOK. Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-662-44205-0_8.

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Aigner, Martin, and Günter M. Ziegler. "Some irrational numbers." In Proofs from THE BOOK. Springer Berlin Heidelberg, 2018. http://dx.doi.org/10.1007/978-3-662-57265-8_8.

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Aigner, Martin, and Günter M. Ziegler. "Some irrational numbers." In Proofs from THE BOOK. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-662-04315-8_6.

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Aigner, Martin, and Günter M. Ziegler. "Some irrational numbers." In Proofs from THE BOOK. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-05412-3_6.

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Lewittes, Joseph. "Continued Fractions and Quadratic Irrationals." In Number Theory. Springer New York, 2004. http://dx.doi.org/10.1007/978-1-4419-9060-0_14.

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Conference papers on the topic "Irrational number"

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Milinkovic, Luka, Marija Antic, and Zoran Cica. "Pseudo-random number generator based on irrational numbers." In TELSIKS 2011 - 2011 10th International Conference on Telecommunication in Modern Satellite, Cable and Broadcasting Services. IEEE, 2011. http://dx.doi.org/10.1109/telsks.2011.6143212.

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Jeong, Young-Seob, Kyojoong Oh, Chung-Ki Cho, and Ho-Jin Choi. "Pseudo Random Number Generation Using LSTMs and Irrational Numbers." In 2018 IEEE International Conference on Big Data and Smart Computing (BigComp). IEEE, 2018. http://dx.doi.org/10.1109/bigcomp.2018.00091.

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Mironova, I. B., and M. A. Chernova. "CURRENT PROBLEMS IN TAXATION OF TOWN-FORMING FISHERY ORGANIZATIONS." In Problems and mechanisms of implementation of national priorities of socio-economic development of Russia. Khabarovsk State University of Economics and Law, 2020. http://dx.doi.org/10.38161/978-5-7823-0740-0-2020-125-131.

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The paper defines problems leading to an irrational increase in the tax burden and makes specific proposals for a number of taxes in order to remedy the situation, in accordance with the analysis of regulations in the field of taxation of fishery organizations
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Chen, Franklin F. K., and B. Ronald Moncrief. "Canyon Building Ventilation System Dynamic Model Optimization Study." In ASME 1993 International Computers in Engineering Conference and Exposition. American Society of Mechanical Engineers, 1993. http://dx.doi.org/10.1115/cie1993-0052.

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Abstract A canyon building houses special nuclear material processing facilities in two canyon like structures, each with approximately a million cubic feet of air space and a hundred thousand hydraulic equivalent feet of ductwork of various cross sections. The canyon ventilation system is a “once through” design with separate supply and exhaust fans, utilizes two large sand filters to remove radionuclide particulate matter, and exhausts through a tall stack. The ventilation equipment is similar to most industrial ventilation systems. However, in a canyon building, nuclear contamination prohib
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Chen, Zhi-Zhong, and Ming-Yang Kao. "Reducing randomness via irrational numbers." In the twenty-ninth annual ACM symposium. ACM Press, 1997. http://dx.doi.org/10.1145/258533.258583.

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Jing Wang, Guo-ping Jiang, and Hua Yang. "Improved DES algorithm based on irrational numbers." In 2008 International Conference on Neural Networks and Signal Processing (ICNNSP). IEEE, 2008. http://dx.doi.org/10.1109/icnnsp.2008.4590426.

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Jing Wang, Guo-ping Jiang, and Hua Yang. "Improved DES algorithm based on irrational numbers." In 2008 International Conference on Neural Networks and Signal Processing (ICNNSP). IEEE, 2008. http://dx.doi.org/10.1109/icnnsp.2008.4590427.

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QUEFFÉLEC, MARTINE. "IRRATIONAL NUMBERS WITH AUTOMATON-GENERATED CONTINUED FRACTION EXPANSION." In Proceedings of the Conference in Honor of Gerard Rauzy on His 60th Birthday. WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789812793829_0019.

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Nagyová Lehocká, Zuzana. "LEARNING THE CHARACTERISTICS OF IRRATIONAL NUMBERS THROUGH EXPERIENCE." In 13th International Conference on Education and New Learning Technologies. IATED, 2021. http://dx.doi.org/10.21125/edulearn.2021.0321.

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Kaneko, Hajime, Masaaki Amou, and Masanori Katsurada. "On the b-ary expansions of algebraic irrational numbers (survey)." In DIOPHANTINE ANALYSIS AND RELATED FIELDS 2011: DARF - 2011. AIP, 2011. http://dx.doi.org/10.1063/1.3630040.

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