Relevant bibliographies by topics / Euler's theorem

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

Academic literature on the topic 'Euler's theorem'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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Journal articles on the topic "Euler's theorem"

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Heinrich, Katherine, and Peter Horak. "Euler's Theorem." American Mathematical Monthly 101, no. 3 (1994): 260. http://dx.doi.org/10.2307/2975604.

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Heinrich, Katherine, and Peter Horak. "Euler's Theorem." American Mathematical Monthly 101, no. 3 (1994): 260–61. http://dx.doi.org/10.1080/00029890.1994.11996939.

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ÇÖKEN, A. CEYLAN. "ON EULER'S THEOREM IN SEMI-EUCLIDEAN SPACES $\mathbb{E}_{v}^{n+1}$." International Journal of Geometric Methods in Modern Physics 08, no. 05 (2011): 1117–29. http://dx.doi.org/10.1142/s0219887811005579.

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In this paper, we study Euler's theorem for semi-Euclidean hypersurfaces in the semi-Euclidean spaces [Formula: see text]. We obtain an analog of the well-known Euler's theorem for semi-Euclidean hypersurfaces in the semi-Euclidean spaces [Formula: see text]. Then we give corollaries of Euler's theorem concerning conjugate and asymptotic directions. After that, we express Euler's theorem and its corollaries for hypersurfaces in the Euclidean space 𝔼m in the case n = m - 1, v = 0. In addition, we give the well-known Euler's theorem and its corollaries for surfaces in the case n = 2, v = 0, for
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Dini Wahyuningsih. "Teorema Kecil Fermat (Fermat’s Little Theorem)." Jurnal Pustaka Cendekia Pendidikan 2, no. 3 (2024): 147–51. https://doi.org/10.70292/jpcp.v2i3.17.

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Fermat's Little Theorem is a fundamental theorem from the realm of number theory. Even by using this theorem, we can derive Euler's Theorem with the help of the properties of the Euler function φ, even though actually Fermat's Little Theorem is a special case of Euler's Theorem. Then Fermat's little theorem (Fermat's little theorem) is a form of Number Theory, which is a branch of Mathematics that discusses various things about numbers. In number theory there is a chapter that discusses three mathematicians who were very useful in the development of number theory. Fermat's theorem is not a gra
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Wardlaw, William P. "Euler's Theorem for Polynomials." Mathematics Magazine 65, no. 5 (1992): 334. http://dx.doi.org/10.2307/2691245.

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Wardlaw, William P. "Euler's Theorem for Polynomials." Mathematics Magazine 65, no. 5 (1992): 334–35. http://dx.doi.org/10.1080/0025570x.1992.11996048.

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Kunwar, Rajendra, and Laxmi G. C. "Inductive Insights into Preserving Euler Characteristics in Topological Transformations." Journal of Mathematics Instruction, Social Research and Opinion 3, no. 3 (2024): 335–59. http://dx.doi.org/10.58421/misro.v3i3.305.

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Topological transformations involve altering the shape or structure of surfaces without changing their fundamental properties. One key property is the Euler characteristic, a topological invariant that remains constant under continuous deformations. This study employs an inductive approach to explore how various transformations can preserve the Euler characteristic, providing insights into the underlying principles. The study aims to deepen our understanding of the relationship between topological transformations, changes in the number of vertices, edges, and faces, and their impact on Euler's
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Majeed, Amir Sabir. "Embedding of Neutrosophic Graphs on Topological Surfaces." JOURNAL OF UNIVERSITY OF BABYLON for Pure and Applied Sciences 32, no. 2 (2024): 183–96. http://dx.doi.org/10.29196/jubpas.v32i2.5279.

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Background: A planar graph (PG) is a graph with no intersecting edges. Particular to both crisp and neutrosophic graphs (NG) is the planar graph, in contrast to crisp planar graphs. NPGs allow for the intersection of neutrosophic edge NEs, since the value of planarity in these graphs is the degree of planarity of the intersected NEs. The NPGs are often represented on a flat surface. Materials and Methods: This study discusses how to embed NGs on surfaces such as spheres and m-toruses by defining the degree of intersection of the neutrosophic edges of NGs with finding the faces on the given gra
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Kandall, Geoffrey A. "Euler's Theorem for Generalized Quadrilaterals." College Mathematics Journal 33, no. 5 (2002): 403. http://dx.doi.org/10.2307/1559015.

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Dubeau, F., and S. Labbe. "Euler's characteristics and Pick's theorem." International Journal of Contemporary Mathematical Sciences 2 (2007): 909–28. http://dx.doi.org/10.12988/ijcms.2007.07094.

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Dissertations / Theses on the topic "Euler's theorem"

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Melo, Henrique Alves de. "Euler's formula in the plan and for polyhedra." Universidade Federal do CearÃ, 2013. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=11431.

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CoordenaÃÃo de AperfeiÃoamento de Pessoal de NÃvel Superior<br>Polyhedra are geometric solids formed by a &#64257;nite number of polygons they can be convex or non-convex, regular or not regular. This work we make three demonstrations of Eulerâs theorem for polyhedra in one plane being used graphs. We will adopt preliminary de&#64257;nitions of polygons, polyhedra and graphs and make a brief study of the theorem before the demonstrations analysis when the theorem is valid and what conditions exist polyhedra, since the theorem is accepted. The work brings some applications in the form of questi
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Carvalho, Wesley da Silva. "Cálculo das fórmulas de Euler e Pick no geoplano e no GeoGebra." Universidade Federal de Goiás, 2016. http://repositorio.bc.ufg.br/tede/handle/tede/6970.

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Submitted by Cássia Santos (cassia.bcufg@gmail.com) on 2017-03-20T12:17:35Z No. of bitstreams: 2 Dissertação - Wesley da Silva Carvalho - 2016.pdf: 2739140 bytes, checksum: 009cb3705c3ac6a28927493419d88e0c (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)<br>Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2017-03-20T14:06:03Z (GMT) No. of bitstreams: 2 Dissertação - Wesley da Silva Carvalho - 2016.pdf: 2739140 bytes, checksum: 009cb3705c3ac6a28927493419d88e0c (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)<br>M
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Gontijo, Helen Kássia Coelho. "Teorema de Euler em sala de aula." Universidade Federal de Goiás, 2014. http://repositorio.bc.ufg.br/tede/handle/tede/3876.

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Submitted by Luciana Ferreira (lucgeral@gmail.com) on 2015-01-14T13:35:24Z No. of bitstreams: 2 license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) Dissertação - Helen Kássia Coelho Gontijo - 2014.pdf: 1533837 bytes, checksum: 06babe56caa781b8fdc2bc90de1a2947 (MD5)<br>Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2015-01-14T14:11:25Z (GMT) No. of bitstreams: 2 license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) Dissertação - Helen Kássia Coelho Gontijo - 2014.pdf: 1533837 bytes, checksum: 06babe56caa781b8fdc2bc90de1a29
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Silva, Hércules do Nascimento. "Poliedros Regulares no Ensino Médio." Universidade Federal da Paraíba, 2014. http://tede.biblioteca.ufpb.br:8080/handle/tede/8042.

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Submitted by Maike Costa (maiksebas@gmail.com) on 2016-03-28T12:29:14Z No. of bitstreams: 1 arquivototal.pdf: 800250 bytes, checksum: 42e76ab05ea580b4fd24a3312b9b4212 (MD5)<br>Made available in DSpace on 2016-03-28T12:29:14Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 800250 bytes, checksum: 42e76ab05ea580b4fd24a3312b9b4212 (MD5) Previous issue date: 2014-08-29<br>In this work we present a study of the regular polyhedra, comparing and discussing the concepts and de nitions given in the study of regular polyhedra in textbooks most widely used in Brazilian high schools. We prove the th
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Silva, Eduardo Alves da. "Formas ponderadas do Teorema de Euler e partições com raiz : estabelecendo um tratamento combinatório para certas identidades de Ramanujan." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2018. http://hdl.handle.net/10183/183163.

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O artigo Weighted forms of Euler's theorem de William Y.C. Chen e Kathy Q. Ji, em resposta ao questionamento de George E. Andrews, matemático estadunidense, sobre encontrar demonstrações combinatórias de duas identidades no Caderno Perdido de Ramanujan, nos mostra algumas formas ponderadas do Teorema de Euler sobre partições com partes ímpares e partes distintas via a introdução do conceito de partição com raiz. A propositura deste trabalho é envolta à apresentação de resultados sobre partições com raiz de modo a posteriormente realizar formulações combinatórias das identidades de Ramanujan po
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Justino, Gildeci José. "A característica de Euler." Universidade Federal da Paraíba, 2013. http://tede.biblioteca.ufpb.br:8080/handle/tede/7471.

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Submitted by Clebson Anjos (clebson.leandro54@gmail.com) on 2015-05-18T18:12:57Z No. of bitstreams: 1 arquivototal.pdf: 13930019 bytes, checksum: d5e52fb67904848f89fafaf5ec93c06d (MD5)<br>Approved for entry into archive by Clebson Anjos (clebson.leandro54@gmail.com) on 2015-05-18T18:15:19Z (GMT) No. of bitstreams: 1 arquivototal.pdf: 13930019 bytes, checksum: d5e52fb67904848f89fafaf5ec93c06d (MD5)<br>Made available in DSpace on 2015-05-18T18:15:19Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 13930019 bytes, checksum: d5e52fb67904848f89fafaf5ec93c06d (MD5) Previous issue date: 2013-09-
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Parreira, José Roberto Penachia. "Poliedros e o Teorema de Euler." Universidade Federal de Goiás, 2014. http://repositorio.bc.ufg.br/tede/handle/tde/2970.

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Submitted by Erika Demachki (erikademachki@gmail.com) on 2014-08-29T20:47:14Z No. of bitstreams: 2 Poliedros_E_Teorema_de_Euler.pdf: 4810573 bytes, checksum: f1f57ad45cfd7dc575fe3c3e963b24c6 (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5)<br>Made available in DSpace on 2014-08-29T20:47:14Z (GMT). No. of bitstreams: 2 Poliedros_E_Teorema_de_Euler.pdf: 4810573 bytes, checksum: f1f57ad45cfd7dc575fe3c3e963b24c6 (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) Previous issue date: 2014-03-21<br>Coordenação de Aperfeiçoamento d
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Reeder, Patrick F. "Internal Set Theory and Euler's Introductio in Analysin Infinitorum." The Ohio State University, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=osu1366149288.

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Paião, Ana Pedro Lemos. "Introduction to optimal control theory and its application to diabetes." Master's thesis, Universidade de Aveiro, 2015. http://hdl.handle.net/10773/16806.

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Mestrado em Matemática e Aplicações<br>O Cálculo das Variações e o Controlo Ótimo são dois ramos da Matemática que estão muito interligados entre si e também com outras áreas. Como exemplo, podemos citar a Geometria, a Física, a Mecânica, a Economia, a Biologia, bem como a Medicina. Nesta tese estudamos vários tipos de problemas variacionais e de Controlo Ótimo, estabelecendo a ligação entre alguns destes. Fazemos uma breve introdução sobre a Diabetes Mellitus, uma vez que estudamos um modelo matemático que traduz a interação entre a glicose e a insulina no sangue por forma a otimizar o
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Badar, Muhammad, and Ansir Iqbal. "Polya's Enumeration Theorem : Number of colorings of n-gons and non isomorphic graphs." Thesis, Linnaeus University, School of Computer Science, Physics and Mathematics, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-6199.

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<p>Polya’s theorem can be used to enumerate objects under permutation groups. Using grouptheory, combinatorics and some examples, Polya’s theorem and Burnside’s lemma arederived. The examples used are a square, pentagon, hexagon and heptagon under theirrespective dihedral groups. Generalization using more permutations and applications tograph theory.Using Polya’s Enumeration theorem, Harary and Palmer [5] give a function whichgives the number of unlabeled graphs n vertices and m edges. We present their work andthe necessary background knowledge.</p>
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Books on the topic "Euler's theorem"

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Chen, Jingkai. Nonlocal Euler–Bernoulli Beam Theories. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-69788-4.

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Hakfoort, Casper. Optics in the age of Euler: Conceptions of the nature of light, 1700-1795. Cambridge University Press, 1995.

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A, Appleby R., Chen H. C, and Langley Research Center, eds. A general multiblock Euler code for propulsion integration. National Aeronautics and Space Administration, Langley Research Center, 1991.

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Turner, J. C. Number trees for Pythagoras, Plato, Euler, and the modular group. University of Waikato, 1990.

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1707-1783, Euler Leonhard, Caddeo R. (Renzo) editor, Hascher Xavier editor, Jehel Pierre 1982 editor, Papadopoulos Athanase editor, and Papadopoulos Hélène 1983 editor, eds. Leonhard Euler, écrits sur la musique. Hermann, 2015.

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Deshpande, Suresh M. A second-order accurate kinetic-theory-based method for inviscid compressible flows. Langley Research Center, 1986.

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Diskin, Boris. New factorizable discretizations for the Euler equations. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 2002.

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Shimura, Gorō. Euler products and Eisenstein series. Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, 1997.

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Tadmor, Eitan. A minimum entropy principle in the gas dynamics equation. ICASE, 1986.

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Chi-Wang, Shu, and Langley Research Center, eds. Uniform high order spectral methods for one and two dimensional Euler equations. National Aeronautics and Space Administration, Langley Research Center, 1991.

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Book chapters on the topic "Euler's theorem"

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Effinger, Gove, and Gary L. Mullen. "Euler's Formula and Euler's Theorem." In An Elementary Transition to Abstract Mathematics. CRC Press, 2019. http://dx.doi.org/10.1201/9780429324819-19.

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Conway, John H., Heidi Burgiel, and Chaim Goodman-Strauss. "Euler's Map Theorem." In The Magic Theorem. A K Peters/CRC Press, 2025. https://doi.org/10.1201/9781003253747-8.

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Newman, Peter. "Euler’s Theorem." In The New Palgrave Dictionary of Economics. Palgrave Macmillan UK, 2018. http://dx.doi.org/10.1057/978-1-349-95189-5_230.

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Newman, Peter. "Euler’s Theorem." In The New Palgrave Dictionary of Economics. Palgrave Macmillan UK, 1987. http://dx.doi.org/10.1057/978-1-349-95121-5_230-1.

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Newman, Peter. "Euler’s Theorem." In The New Palgrave Dictionary of Economics. Palgrave Macmillan UK, 2008. http://dx.doi.org/10.1057/978-1-349-95121-5_230-2.

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Childs, Lindsay N. "Orders and Euler’s Theorem." In Springer Undergraduate Texts in Mathematics and Technology. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-15453-0_8.

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Childs, Lindsay N. "Fermat’s and Euler’s Theorems." In A Concrete Introduction to Higher Algebra. Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4419-8702-0_9.

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Ng, Xian Wen. "Euler’s Theorem and Grand Composite Curves." In Concise Guide to Heat Exchanger Network Design. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-53498-1_3.

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Longuski, James M., José J. Guzmán, and John E. Prussing. "The Euler-Lagrange Theorem." In Optimal Control with Aerospace Applications. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-8945-0_3.

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Childs, Lindsay N. "Applications of Fermat’s and Euler’s Theorems." In A Concrete Introduction to Higher Algebra. Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4419-8702-0_10.

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Conference papers on the topic "Euler's theorem"

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Mondal, Saikat, and Partha Roy Chaudhuri. "Determining Elastic Modulus of Fiber Material by Cantilever Vibration Method." In JSAP-Optica Joint Symposia. Optica Publishing Group, 2024. https://doi.org/10.1364/jsapo.2024.19a_p08_3.

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This research demonstrates the determination of the elastic modulus of the material of optical fiber by experimentally calculating natural vibration frequency utilizing Euler-Bernoulli cantilever beam vibration theory[1].
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Zhu, Wen Tao. "Analyzing Euler-Fermat Theorem Based Multicast Key Distribution Schemes with Chinese Remainder Theorem." In 2008 IFIP International Conference on Network and Parallel Computing (NPC). IEEE, 2008. http://dx.doi.org/10.1109/npc.2008.29.

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Bert, Charles W., and Chun-Do Kim. "Whirling of Composite-Material Driveshafts Including Bending-Twisting Coupling and Transverse Shear Deformation." In ASME 1993 Design Technical Conferences. American Society of Mechanical Engineers, 1993. http://dx.doi.org/10.1115/detc1993-0182.

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Abstract A simplified theory for predicting the first-order critical speed of a shear deformable, composite-material driveshaft is presented. The shaft is modeled as a Bresse-Timoshenko beam generalized to include bending-twisting coupling. Numerical results are compared with those for both thin and thick walled shell theories and generalized Bernoulli-Euler theory.
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Figliolini, Giorgio, and Ettore Pennestrì. "Kinematic Synthesis of Quasi-Homokinetic Four-Bar Linkages Through the Burmester and Chebyshev Theories." In ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/detc2014-34951.

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The present paper deals with the formulation of specific algorithms for the kinematic synthesis of quasi-homokinetic four-bar linkages, slider-crank mechanisms included, which are based on the fundamentals of kinematics, as the centrodes, the inflection circle, the cubic of stationary curvature, Freudenstein’s theorem, the Euler-Savary equation and Chebyshev’s theory. These algorithms are aimed to obtain in a given range of motion, a quasi-constant transmission ratio between the driving and driven links, thus producing a quasi-homokinetic behaviour. In particular, the infinitesimal Burmester t
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Kawarabayashi, Ken-ichi, and Anastasios Sidiropoulos. "Beyond the Euler Characteristic." In STOC '15: Symposium on Theory of Computing. ACM, 2015. http://dx.doi.org/10.1145/2746539.2746583.

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Prasanth, R., and R. Mehra. "Nonlinear aeroservoelastic control using Euler-Lagrange theory." In Guidance, Navigation, and Control Conference and Exhibit. American Institute of Aeronautics and Astronautics, 1999. http://dx.doi.org/10.2514/6.1999-4089.

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Kozlova, Irina Vasilevna. "The study of the structure of carbon nanoparticles using the Euler theorem." In International Research and Practical Conference for Pupils, chair Elena Vladimirovna Shirokova. TSNS Interaktiv Plus, 2018. http://dx.doi.org/10.21661/r-474636.

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Bauchau, Olivier A., and Shilei Han. "Advanced Beam Theory for Multibody Dynamics." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-12416.

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In flexible multibody systems, many components are often approximated as beams or shells. More often that not, classical beam theories, such as Euler-Bernoulli beam theory, form the basis of the analytical development for beam dynamics. The advantage of this approach is that it leads to a very simple kinematic representation of the problem: the beam’s section is assumed to remain plane and its displacement field is fully defined by three displacement and three rotation components. While such approach is capable of capturing the kinetic energy of the system accurately, it cannot represent the s
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Yao, Bin, Shiying Kang, Xiao Zhao, Yuyan Chao, and Lifeng He. "A graph-theory-based Euler number computing algorithm." In 2015 IEEE International Conference on Information and Automation (ICIA). IEEE, 2015. http://dx.doi.org/10.1109/icinfa.2015.7279470.

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Zhu, Yang, Jean W. Zu, and Minghui Yao. "Modeling of Piezoelectric Energy Harvester: A Comparison Between Euler-Bernoulli Theory and Timoshenko Theory." In ASME 2011 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. ASMEDC, 2011. http://dx.doi.org/10.1115/smasis2011-4995.

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Harvesting vibration energy using piezoelectric materials has gained considerable attention over the past few years. Typically, a piezoelectric energy harvester is a unimorph or bimorph cantilevered beam which undergoes base vibration. The focus of this paper is to compare the Euler-Bernoulli model and the Timoshenko model, which are both used for modeling the vibration-based energy harvester. Procedures of deriving the electro-mechanical equation of motion are provided, following exact expressions for the electrical output in two models. Parametric case studies are carried out in order to com
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Reports on the topic "Euler's theorem"

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AN INVESTIGATION ON THE EFFECT OF RANDOM PITTING CORROSION ON THE STRENGTH OF THE SUBSEA PIPELINE USING MONTE CARLO METHOD. The Hong Kong Institute of Steel Construction, 2024. http://dx.doi.org/10.18057/ijasc.2024.20.1.10.

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Pitting corrosion is normally distributed randomly along the pipeline, which is the source of the uncertainty affecting the ultimate bearing capacity of the submarine pipelines. So the Monte Carlo method is employed to study the effect of pitting corrosion on the upheaval buckling behavior of the pipeline. A corroded pipeline model with randomly distributed pitting corrosion is utilized to captures the intricate realities of corrosion scenarios. Multiple corrosion models with distinct artificial patterns have been meticulously crafted. Additionally, a new pipeline element based on Euler-Bernou
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