Relevant bibliographies by topics / Groupes de triangle

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

Academic literature on the topic 'Groupes de triangle'

Author: Grafiati
Published: 4 June 2021
Last updated: 13 February 2022

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Journal articles on the topic "Groupes de triangle"

1

Allcock, Daniel. "Triangles of Baumslag–Solitar Groups." Canadian Journal of Mathematics 64, no. 2 (2012): 241–53. http://dx.doi.org/10.4153/cjm-2011-062-8.

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Abstract Our main result is that many triangles of Baumslag–Solitar groups collapse to finite groups, generalizing a famous example of Hirsch and other examples due to several authors. A triangle of Baumslag–Solitar groups means a group with three generators, cyclically ordered, with each generator conjugating some power of the previous one to another power. There are six parameters, occurring in pairs, and we show that the triangle fails to be developable whenever one of the parameters divides its partner, except for a few special cases. Furthermore, under fairly general conditions, the group
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Baumslag, Gilbert, John W. Morgan, and Peter B. Shalen. "Generalized triangle groups." Mathematical Proceedings of the Cambridge Philosophical Society 102, no. 01 (1987): 25. http://dx.doi.org/10.1017/s0305004100067013.

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Sridevi, P. "A Note on Detection of Communities in Social Networks." International Journal of Engineering and Computer Science 9, no. 03 (2020): 24978–83. http://dx.doi.org/10.18535/ijecs/v9i03.4452.

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The modern Science of Social Networks has brought significant advances to our understanding of the Structure, dynamics and evolution of the Network. One of the important features of graphs representing the Social Networks is community structure. The communities can be considered as fairly independent components of the social graph that helps identify groups of users with similar interests, locations, friends, or occupations. The community structure is closely tied to triangles and their count forms the basis of community detection algorithms. The present work takes into consideration, a triang
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PINSKY, TALI. "Templates for geodesic flows." Ergodic Theory and Dynamical Systems 34, no. 1 (2012): 211–35. http://dx.doi.org/10.1017/etds.2012.132.

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AbstractWe construct templates for geodesic flows on an infinite family of Hecke triangle groups. Our results generalize those of E. Ghys [Knots and dynamics. Proc. Int. Congress of Mathematicians. Vol. 1. International Congress of Mathematicians, Zürich, 2007], who constructed a template for the modular flow in the complement of the trefoil knot in $S^3$. A significant difficulty that arises in any attempt to go beyond the modular flow is the fact that for other Hecke triangles the geodesic flow cannot be viewed as a flow in $S^3$, and one is led to consider embeddings into lens spaces. Our f
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Howie, J., V. Metaftsis, and R. M. Thomas. "Finite generalized triangle groups." Transactions of the American Mathematical Society 347, no. 9 (1995): 3613–23. http://dx.doi.org/10.1090/s0002-9947-1995-1303121-7.

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PRUNESCU, MIHAI. "RECURRENT TWO-DIMENSIONAL SEQUENCES GENERATED BY HOMOMORPHISMS OF FINITE ABELIAN p-GROUPS WITH PERIODIC INITIAL CONDITIONS." Fractals 19, no. 04 (2011): 431–42. http://dx.doi.org/10.1142/s0218348x1100552x.

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We prove that if a recurrent two-dimensional sequence with periodic initial conditions coincides in a sufficiently large starting square with a two-dimensional sequence produced by an expansive system of context-free substitutions, then they must coincide everywhere. We apply this result for some examples built up by homomorphisms of finite abelian p-groups, in particular for Pascal's Triangle modulo pk, Pascal's Triangles modulo 2 with non-trivial periodic borders, and Sierpinski's Carpets with non-trivial periodic border. All these particular cases justify the conjecture that recurrent two-d
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Chermak, Andrew. "Triangles of groups." Transactions of the American Mathematical Society 347, no. 11 (1995): 4533–58. http://dx.doi.org/10.1090/s0002-9947-1995-1316847-6.

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Vsemirnov, Maxim, Vitaliy Mysovskikh, and M. Chiara Tamburini. "Triangle Groups as Subgroups of Unitary Groups." Journal of Algebra 245, no. 2 (2001): 562–83. http://dx.doi.org/10.1006/jabr.2001.8945.

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LEVITT, RENA, and JON MCCAMMOND. "TRIANGLES, SQUARES AND GEODESICS." International Journal of Algebra and Computation 22, no. 05 (2012): 1250041. http://dx.doi.org/10.1142/s0218196712500415.

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In the early 1990s Steve Gersten and Hamish Short proved that compact nonpositively curved triangle complexes have biautomatic fundamental groups and that compact nonpositively curved square complexes have biautomatic fundamental groups. In this paper we report on the extent to which results such as these extend to nonpositively curved complexes built out a mixture of triangles and squares. Since both results by Gersten and Short have been generalized to higher dimensions, this can be viewed as a first step towards unifying Januszkiewicz and Świȧtkowski's theory of simplicial nonpositive curva
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Levai, L., G. Rosenberger, and B. Souvignier. "All Finite Generalized Triangle Groups." Transactions of the American Mathematical Society 347, no. 9 (1995): 3625. http://dx.doi.org/10.2307/2155029.

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Dissertations / Theses on the topic "Groupes de triangle"

1

Philippe, Emmanuel. "Géométrie des surfaces hyperboliques." Toulouse 3, 2008. http://thesesups.ups-tlse.fr/270/.

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Dans ce mémoire, on décrit le début du spectre des longueurs de tous les groupes de triangles associés à un triangle hyperbolique (r,p,q) avec r,p,q entiers ordonnés dans l'ordre croissant. On montre alors que la donnée du spectre des longueurs caractérise, sauf si r=3 , la classe d'isométrie d'un tel groupe parmi tous les groupes de triangles<br>In this report, we describe the beginning of the length spectra of the triangles groups associated with a hyperbolic triangle (r, p, q) with r, p, q integers were ordered in the increasing order. We show while the datum of the length spectra character
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Mou, Chenqi. "Solving polynomial systems over finite fields : Algorithms, Implementations and applications." Paris 6, 2013. http://www.theses.fr/2013PA066805.

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Résolution de systèmes polynomiaux sur les corps finis est d’un intérêt particulier en raison de ses applications en Cryptographie, Théorie du Codage, et d’autres domaines de la science de l’information. Dans cette thèse, nous étudions plusieurs aspects importants théoriques et informatiques pour résolution de systèmes polynomiaux sur les corps finis, en particulier sur les deux outils largement utiliss: bases de Gröbner et ensembles triangulaires. Nous proposons des algorithmes efficaces pour le changement de l’ordre des bases de Gröbner d’idéaux de dimension zéro en utilisant le faible densi
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Smilga, Ilia. "Pavages de l'espace affine." Thesis, Paris 11, 2014. http://www.theses.fr/2014PA112298/document.

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Pour tout entier naturel impair d, on construit un domaine fondamental pour l'action sur l'espace affine de dimension 2d+1 de certains groupes de transformations affines libres non abéliens, discrets, agissant proprement et de partie linéaire Zariski-dense dans SO(d+1, d). Pour tout groupe de Lie semisimple réel non compact G, on construit ensuite un groupe de transformations affines de son algèbre de Lie g qui est libre non abélien, discret, agit proprement sur g et a sa partie linéaire Zariski-dense dans Ad G. Enfin, on donne quelques résultats sur le comportement local des fonctions harmoni
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Marion, Claude Miguel Emmanuel. "Triangle groups and finite simple groups." Thesis, Imperial College London, 2009. http://hdl.handle.net/10044/1/4371.

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This thesis contains a study of the spaces of homomorphisms from hyperbolic triangle groups to finite groups of Lie type which leads to a number of deterministic, asymptotic,and probabilistic results on the (p1, p2, p3)-generation problem for finite groups of Lie type. Let G₀ = L(pn) be a finite simple group of Lie type over the finite field Fpn and let T = Tp1,p2,p3 be the hyperbolic triangle group (x,y : xp1 = yp2 = (xy)p3 = 1) where p1, p2, p3 are prime numbers satisfying the hyperbolic condition 1/p1 + 1/p2 + 1/p3 < 1. In general, the size of Hom(T,G₀) is a polynomial in q, where q = pn, w
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Thompson, James Matthew. "Complex hyperbolic triangle groups." Thesis, Durham University, 2010. http://etheses.dur.ac.uk/478/.

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We prove several discreteness and non-discreteness results about complex hyperbolic triangle groups and discover two new lattices. These results use geometric (explicit construction of a fundamental domain), group theoretic and arithmetic methods.
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Monaghan, Andrew. "Complex hyperbolic triangle groups." Thesis, University of Liverpool, 2013. http://livrepository.liverpool.ac.uk/14033/.

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In this thesis we study the discreteness criteria for complex hyperbolic triangle groups, generated by reflections in the complex hyperbolic 2-space. A complex hyperbolic triangle group is a group of isometries of the complex hyperbolic plane generated by three complex reflections. We study discreteness of some of these groups using arithmetic and geometric methods. We show that certain complex hyperbolic triangle groups of signature (p,p,2p) and (p,q,pq/(q-p)) are not discrete. The arithmetic methods we use are those studied by Conway and Jones and Parker. We also extend these results further
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Williams, Alun G. T. "Studies on generalised triangle groups." Thesis, Heriot-Watt University, 2000. http://hdl.handle.net/10399/580.

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Edvardsson, Elisabet. "Modular forms for triangle groups." Thesis, Karlstads universitet, Institutionen för matematik och datavetenskap (from 2013), 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-47984.

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Modular forms are important in different areas of mathematics and theoretical physics. The theory is well known for the modular group PSL(2,Z), but is also of interest for other Fuchsian groups. In this thesis we will be interested in triangle groups with a cusp. We review some theory about mapping of hyperbolic triangles in order to derive an expression for the Hauptmodul of a triangle group, and use this to write a SageMath-program that calculates the Fourier series of the Hauptmodul. We then review some of the results presented in [4] that describe generalizations of well known concepts suc
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AFONSO, LUIS FERNANDO CROCCO. "REPRESENTATIONS OF TRIANGLE GROUPS IN COMPLEX HYPERBOLIC." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2003. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=4123@1.

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COORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR<br>O principal objetivo deste trabalho é o estudo de representações que preservam tipo rho:Gamma - PU(2,1) de grupos triangulares Gamma no grupo de isometrias holomorfas do espaço hiperbólico complexo de dimensão dois H2C. O grupo triangular Gamma(p,q,r) é o grupo gerado por reflexões nos lados de um triângulo geodésico, com ângulos pi/p, pi/q e pi/r, no plano hiperbólico. Neste trabalho, nossas atenções são voltadas para os grupos Gamma (4,4,infinito) e Gamma(4,infinito,infinito). Demonstramos, entre outros resultados: Par
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Mazhar, Siddiqua. "Composition of permutation representations of triangle groups." Thesis, University of Newcastle upon Tyne, 2017. http://hdl.handle.net/10443/3857.

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A triangle group is denoted by (p, q, r) and has finite presentation (p, q, r) = hx, y|xp = yq = (xy)r = 1i. In the 1960’s Higman conjectured that almost every triangle group has among its homomorphic images all but finitely many of the alternating groups. This was proved by Everitt in [6]. In this thesis, we combine permutation representations using the methods used in the proof of Higman’s conjecture. We do some experiments by using GAP code and then we examine the situations where the composition of a number of coset diagrams for a triangle group is imprimitive. Chapter 1 provides the intro
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Books on the topic "Groupes de triangle"

1

Hejhal, Dennis A. Eigenvalues of the Laplacian for Hecke triangle groups. American Mathematical Society, 1992.

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Bernhard, Leeb, and Millson John J. 1946-, eds. The generalized triangle inequalities in symmetric spaces and buildings with applications to algebra. American Mathematical Society, 2008.

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Kapovich, Michael. The generalized triangle inequalities in symmetric spaces and buildings with applications to algebra. American Mathematical Society, 2008.

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Sun, Yongzhong. On degrees of alternating and special linear groups as quotients of triangle groups. University of Birmingham, 2002.

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Briody, Dan. The iron triangle: Inside the secret world of the Carlyle Group. J. Wiley, 2003.

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The iron triangle: Inside the secret world of the Carlyle Group. J. Wiley, 2003.

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Strong, Jory. Zoe 's gift. Ellora's Cave Pub., 2009.

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Carew, Opal. Forbidden heat. St. Martin's Griffin, 2010.

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Carew, Opal. Forbidden heat. St. Martin's Griffin, 2010.

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Inglish, David. Before the flock. Horton Bay Books, 2014.

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Book chapters on the topic "Groupes de triangle"

1

Johnson, D. L. "Triangle Groups." In Springer Undergraduate Mathematics Series. Springer London, 2001. http://dx.doi.org/10.1007/978-1-4471-0243-4_11.

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Singerman, David. "Triangle Groups and Maps." In Symmetries in Graphs, Maps, and Polytopes. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-30451-9_16.

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Jones, Gareth A., and Jürgen Wolfart. "Dessins and Triangle Groups." In Springer Monographs in Mathematics. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-24711-3_3.

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Schneider, Peter. "The Cartan–Brauer Triangle." In Modular Representation Theory of Finite Groups. Springer London, 2013. http://dx.doi.org/10.1007/978-1-4471-4832-6_2.

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Hejhal, Dennis A. "On Eigenfunctions of the Laplacian for Hecke Triangle Groups." In Emerging Applications of Number Theory. Springer New York, 1999. http://dx.doi.org/10.1007/978-1-4612-1544-8_11.

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Voight, John. "Computing CM Points on Shimura Curves Arising from Cocompact Arithmetic Triangle Groups." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/11792086_29.

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Kühn, W., and F. Klatt. "Wake Flow and Vortex Genearation Behind Groups of Cylinders in Tandem and Triangle Arrangement." In Bluff-Body Wakes, Dynamics and Instabilities. Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-662-00414-2_50.

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Sudha, T., and G. Jayalalitha. "Analysis of Sierpinski Triangle Based on Fuzzy Triangular Numbers and Dihedral Group." In Advances in Intelligent Systems and Computing. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-33-4389-4_4.

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Chen, Dongfeng, Lei Zhang, and Jingshan Jiao. "Triangle Fuzzy Number Intuitionistic Fuzzy Aggregation Operators and Their Application to Group Decision Making." In Artificial Intelligence and Computational Intelligence. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-16527-6_44.

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Elkies, Noam D. "Shimura Curves for Level-3 Subgroups of the (2,3,7) Triangle Group, and Some Other Examples." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/11792086_22.

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Conference papers on the topic "Groupes de triangle"

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Lunghi, Enrico, Akimasa Ishikawa, Matthew Moulson, and Justine Serrano. "Summary of the CKM 2016 working group on rare decays." In 9th International Workshop on the CKM Unitarity Triangle. Sissa Medialab, 2017. http://dx.doi.org/10.22323/1.291.0016.

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Hamilton, Brian, Aoife Bharucha, and Florian Bernlochner. "Summary of the CKM2016 working group on semileptonic and leptonic $B$ decays." In 9th International Workshop on the CKM Unitarity Triangle. Sissa Medialab, 2017. http://dx.doi.org/10.22323/1.291.0015.

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Boisvert, Veronique, and Joachim Brod. "Summary of the CKM 2016 working group on high-energy flavor physics." In 9th International Workshop on the CKM Unitarity Triangle. Sissa Medialab, 2017. http://dx.doi.org/10.22323/1.291.0019.

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GLIGOROV, Vladimir, Alessandro Gaz, and Dean Robinson. "Summary of Working Group 4 : mixing and mixing-related $CP$ violation in the $B$ system." In 9th International Workshop on the CKM Unitarity Triangle. Sissa Medialab, 2017. http://dx.doi.org/10.22323/1.291.0017.

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Wang, Yiqun, Dong-Ming Yan, Chengcheng Tang, and Xiaohan Liu. "Obtuse triangle elimination for isotropic remeshing." In SIGGRAPH '17: Special Interest Group on Computer Graphics and Interactive Techniques Conference. ACM, 2017. http://dx.doi.org/10.1145/3102163.3102179.

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de Goes, Fernando, Mathieu Desbrun, and Yiying Tong. "Vector field processing on triangle meshes." In SIGGRAPH '16: Special Interest Group on Computer Graphics and Interactive Techniques Conference. ACM, 2016. http://dx.doi.org/10.1145/2897826.2927303.

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Provido, E. D. B., M. L. A. N. de las Penas, and M. C. B. Decena. "On the Subgroups of the Triangle Group *2p∞." In The International Conference on Algebra 2010 - Advances in Algebraic Structures. WORLD SCIENTIFIC, 2011. http://dx.doi.org/10.1142/9789814366311_0038.

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Yang, Wencheng, Jiankun Hu, and Song Wang. "A Delaunay triangle group based fuzzy vault with cancellability." In 2013 6th International Congress on Image and Signal Processing (CISP). IEEE, 2013. http://dx.doi.org/10.1109/cisp.2013.6743946.

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Lee, Chung-Ching, and Jacques M. Hervé. "New Schoenflies-Motion Manipulator Implementing Isosceles Triangle and Delassus Parallelogram." In ASME 2014 12th Biennial Conference on Engineering Systems Design and Analysis. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/esda2014-20343.

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Schoenflies (X) motion is a 4D displacement Lie group including a spatial translation and any rotation whose axis is parallel to a given direction. Delassus parallelogram has four parallel screw (H) pairs with related pitches and the isosceles triangle is a special HHHP. After merging these two chains, an HHH-//-HHH generator of 2-DoF translation along a right helicoid is derived. It produces a 2-DoF motion mathematically modeled by a 2D submanifold of a 4D group of X-motion. Because of the product closure in an X-group, the 4-DoF generator with HHH-//-HHH loop serving as a subchain is reveale
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Wang, Kunpeng, Hongchun Wu, Liangzhi Cao, and Changhui Wang. "Analytic Basis Function Expansion Nodal Method for Neutron Diffusion Equations in Triangular Geometry." In 18th International Conference on Nuclear Engineering. ASMEDC, 2010. http://dx.doi.org/10.1115/icone18-29518.

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An analytic basis function expansion nodal method for directly solving the two-group neutron diffusion equation in the triangular geometry is proposed in the present paper. In this method, the distribution of neutron flux is expanded by a set of analytic basis functions. The diffusion equation is satisfied at any point in a triangular node for each group assuming that the flux within a node is flat. No transverse integration is needed. To improve the nodal coupling relations and computation accuracy, nodes are coupled with each other fulfilling both the zero- and first-order partial neutron cu
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