Relevant bibliographies by topics / Bloch's theorem

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

Academic literature on the topic 'Bloch's theorem'

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

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Journal articles on the topic "Bloch's theorem"

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Poletskii, E. A. "On Bloch's theorem." Russian Mathematical Surveys 41, no. 2 (April 30, 1986): 215–16. http://dx.doi.org/10.1070/rm1986v041n02abeh003287.

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MATTIS, D. C., and T. SJOSTROM. "BLOCH'S THEOREM IN NANOARCHITECTURES." Modern Physics Letters B 20, no. 09 (April 10, 2006): 501–13. http://dx.doi.org/10.1142/s0217984906011074.

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We identify and characterize mini-Bloch-sub-bands that condense out of the low-lying states in a semiconductor's conduction band due to repetitive patterns (as in an "antidot lattice"). We discuss limits on the validity of the tight-binding approximation. One appendix touches upon the complications (actually, simplification, in the case of silicon) when the dispersion is given by a set of anisotropic mass tensors, another treats the effects of cross-sectional shape on threshhold energy level of a conduit.
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Guillot, Dominique, and Thomas Ransford. "Bloch's Theorem for Algebroid Multifunctions II." Mathematical Proceedings of the Royal Irish Academy 105, no. 2 (January 1, 2005): 103–9. http://dx.doi.org/10.3318/pria.2005.105.2.103.

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Kaijia, Cheng. "Comment on Bloch's theorem on theories of superconductivity." Chinese Physics Letters 5, no. 6 (June 1988): 285–88. http://dx.doi.org/10.1088/0256-307x/5/6/013.

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KOBAYASHI, RYOICHI. "HOLOMORPHIC CURVES INTO ALGEBRAIC SUBVARIETIES OF AN ABELIAN VARIETY." International Journal of Mathematics 02, no. 06 (December 1991): 711–24. http://dx.doi.org/10.1142/s0129167x91000399.

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We apply a technique introduced in [7] to holomorphic curves into an algebraic variety whose irregularity is greater than its dimension and establish the Second Main Theorem. This gives a new geometric proof of Bloch's conjecture proved by Ochiai, Kawamata, Green-Griffiths in the late 70's.
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Fan, Y., and B. Goodman. "Thermal averages for the harmonic oscillator: an extension of Bloch's 'second' theorem." Journal of Physics A: Mathematical and General 20, no. 1 (January 11, 1987): 143–51. http://dx.doi.org/10.1088/0305-4470/20/1/023.

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MCCOLLUM, GIN, and PATRICK D. ROBERTS. "DYNAMICS OF EVERYDAY LIFE: RIGOROUS MODULAR MODELING IN NEUROBIOLOGY BASED ON BLOCH'S DYNAMICAL THEOREM." Journal of Integrative Neuroscience 03, no. 04 (December 2004): 397–413. http://dx.doi.org/10.1142/s0219635204000622.

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de Jeu, Rob, and James D. Lewis. "Beilinson's Hodge Conjecture for Smooth Varieties." Journal of K-Theory 11, no. 2 (March 6, 2013): 243–82. http://dx.doi.org/10.1017/is013001030jkt212.

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AbstractLet U/ℂ be a smooth quasi-projective variety of dimension d, CHr (U,m) Bloch's higher Chow group, andclr,m: CHr (U,m) ⊗ ℚ → homMHS (ℚ(0), H2r−m (U, ℚ(r)))the cycle class map. Beilinson once conjectured clr,m to be surjective [Be]; however, Jannsen was the first to find a counterexample in the case m = 1 [Ja1]. In this paper we study the image of clr,m in more detail (as well as at the “generic point” of U) in terms of kernels of Abel-Jacobi mappings. When r = m, we deduce from the Bloch-Kato conjecture (now a theorem) various results, in particular that the cokernel of clm,m at the generic point is the same for integral or rational coefficients.
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Chen, Shaolin, Saminathan Ponnusamy, and Xiantao Wang. "WEIGHTED LIPSCHITZ CONTINUITY, SCHWARZ–PICK'S LEMMA AND LANDAU–BLOCH'S THEOREM FOR HYPERBOLIC-HARMONIC MAPPINGS IN ℂN." Mathematical Modelling and Analysis 18, no. 1 (February 1, 2013): 66–79. http://dx.doi.org/10.3846/13926292.2013.756834.

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In this paper, we discuss some properties on hyperbolic-harmonic functions in the unit ball of ℂ n . First, we investigate the relationship between the weighted Lipschitz functions and the hyperbolic-harmonic Bloch spaces. Then we establish the Schwarz–Pick type theorem for hyperbolic-harmonic functions and apply it to prove the existence of Landau-Bloch constant for functions in α-Bloch spaces.
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Hoddeson, Lillian. "John Bardeen and the BCS Theory of Superconductivity." MRS Bulletin 24, no. 1 (January 1999): 50–55. http://dx.doi.org/10.1557/s0883769400051745.

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Every theory of superconductivity can be disproved! This tongue-in-cheek theorem struck a chord when Felix Bloch announced it in the early 1930s. Virtually every major physicist then working on theory—including Bloch, Niels Bohr, Wolfgang Pauli, Werner Heisenberg, Lev Landau, Leon Brillouin, W. Elsasser, Yakov Frenkel, and Ralph Kronig—had tried and failed to explain the mysterious phenomenon in which below a few degrees kelvin certain metals and alloys lose all their electrical resistance. The frequency with which Bloch's theorem was quoted suggests the frustration of the many physicists who were struggling to explain superconductivity.Neither the tools nor the evidence were yet adequate for solving the problem. These would gradually be created during the 1940s and 1950s, but bringing them to bear on superconductivity and solving the long-standing riddle required a special set of talents and abilities: a deep understanding of quantum mechanics and solid-state physics, confidence in the solubility of the problem, intuition about the phenomenon, a practical approach to problem-solving, patience, teamwork, and above all refusal to give up in the face of repeated failures. When John Bardeen took on the problem of superconductivity in the late 1930s, he held it like a bulldog holds a piece of meat, until he, his student J. Robert Schrieffer, and postdoctoral candidate Leon Cooper solved it in 1957.
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Dissertations / Theses on the topic "Bloch's theorem"

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De, Stefano Cosimo Antonio. "Wave propagation in bi-dimensional periodic tensegrity materials and structures." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2018.

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The study of the metamaterials and the phononic crystals is unavoidable for the development of innovative isolation techniques (acoustic, seismic or thermal) thanks to their control properties over the propagation of elastic waves at different wavelength scales. Making use of the spatial periodicity of such materials, it is possible to study the unit cell individually and only subsequently extending the type harmonic plane wave Solution of the equations of motion to the whole domain by applying the Floquet-Bloch theorem. In this thesis we study the dispersion curves obtained in the cases of one-dimensional and two-dimensional lattices through scripts in Matlab. Thus we obtain the characteristic band diagrams of the dispersion curves of these materials (pass band, stop band, bandgap and fano resonance). In particular, the present work focuses on the study of a lattice whose cells are tensegrity structures modeled as a reticular structure with the lamped mass approach: the study is reduced to the simplest case of two-dimensional monoatomic lattice. From the dynamic analysis of this model we obtain the dispersion curves of the pre-tension variation in the elements.
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Saleur, Benoît. "Trois problèmes géométriques d'hyperbolicité complexe et presque complexe." Thesis, Paris 11, 2011. http://www.theses.fr/2011PA112256/document.

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Cette thèse est consacrée à l'étude de trois problèmes d'hyperbolicité complexe et presque complexe. La première partie est dédiée à la recherche d'une conséquence quantitative de l'hyperbolicité au sens de Kobayashi, qui est une propriété qualitative. Le résultat obtenu prend la forme d'une inégalité isopérimétrique qui évoque l'inégalité d'Ahlfors relative aux recouvrements des surfaces de surfaces. Sa démonstration est purement riemannienne.La deuxième partie de la thèse est consacrée à la démonstration d'une version presque complexe du théorème de Borel, qui affirme que les courbes entières dans le plan projectif complexe évitant quatre droites en position générale sont linéairement dégénérées. Dans un plan projectif presque complexe, les J-droites substituent aux droites projectives et nous disposons d'un énoncé analogue pour les J-courbes entières. La démonstration de ce résultat repose sur l'utilisation de projections centrales et sur la théorie de recouvrement des surfaces d'Ahlfors.La dernière partie est consacrée à la démonstration d'une version presque complexe du théorème de Bloch, qui affirme qu'une suite non normale de disques holomorphes du plan projectif évitant quatre droites en position générale converge, en un certain sens, vers une réunion de trois droites. Notre résultat implique en particulier l'hyperbolicité du complémentaire dans le plan projectif presque complexe de quatre J-droites modulo trois J-droites
This thesis is dedicated to the study of three problems of complex and almost complex hyperbolicity. Its first part is dedicated to the research of a quantitative consequence to Kobayashi hyperbolicity, which is a qualitative property. The result we obtain has the form of an isoperimetric inequality that suggests Ahlfors' inequality, the central result of the theory of covering surfaces. Its proof uses only riemannian tools.The second part of the thesis is dedicated to the proof of an almost complex version of Borel's theorem, which says that an entire curve in the compex preojective plane missing four lines in general position is degenerate. In an almost compex context, we can obtain a similar result for entire J-curves just by replacing projective lines by J-lines. The proof of this result uses central projections and Ahlfors' theory of covering surfaces.The last part is dedicated to the proof of an almost complex version of Bloch's theorem, which says that given a sequence of holomorphic discs in the projective plane, either it is normal, either it converges in some sens to a reunion of three lines. Our result will show in particular that the complementary set of four J-lines in general position is hyperbolic modulo three J-lines
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Bogdanic, Dusko. "Graded blocks of group algebras." Thesis, University of Oxford, 2010. http://ora.ox.ac.uk/objects/uuid:faeaaeab-1fe6-46a9-8cbb-f3f633131a73.

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In this thesis we study gradings on blocks of group algebras. The motivation to study gradings on blocks of group algebras and their transfer via derived and stable equivalences originates from some of the most important open conjectures in representation theory, such as Broue’s abelian defect group conjecture. This conjecture predicts the existence of derived equivalences between categories of modules. Some attempts to prove Broue’s conjecture by lifting stable equivalences to derived equivalences highlight the importance of understanding the connection between transferring gradings via stable equivalences and transferring gradings via derived equivalences. The main idea that we use is the following. We start with an algebra which can be easily graded, and transfer this grading via derived or stable equivalence to another algebra which is not easily graded. We investigate the properties of the resulting grading. In the first chapter we list the background results that will be used in this thesis. In the second chapter we study gradings on Brauer tree algebras, a class of algebras that contains blocks of group algebras with cyclic defect groups. We show that there is a unique grading up to graded Morita equivalence and rescaling on an arbitrary basic Brauer tree algebra. The third chapter is devoted to the study of gradings on tame blocks of group algebras. We study extensively the class of blocks with dihedral defect groups. We investigate the existence, positivity and tightness of gradings, and we classify all gradings on these blocks up to graded Morita equivalence. The last chapter deals with the problem of transferring gradings via stable equivalences between blocks of group algebras. We demonstrate on three examples how such a transfer via stable equivalences is achieved between Brauer correspondents, where the group in question is a TI group.
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Gramain, Jean-Baptiste. "Generalized Block Theory." Phd thesis, Université Claude Bernard - Lyon I, 2005. http://tel.archives-ouvertes.fr/tel-00010451.

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Cette these presente quelques aspects de la theorie des blocs generalises pour les groupes finis. Apres une breve description des theories classique et generalisee, on y etudie les proprietes des blocs generalises de certains groupes. On montre l'existence d'isometries parfaites generalisees dans trois familles de groupes de Lie de rang 1, generalisant ainsi une conjecture de M. Broue. On etudie ensuite le concept de groupe de Cartan generalise, et une formule est donnee pour l'ordre dans le groupe de Cartan des caracteres du groupe symetrique. Enfin, on definit des blocs generalises dans les groupes lineaires finis, et on montre que certaines unions de blocs de caracteres unipotents satisfont un analogue de la Conjecture de Nakayama ainsi qu'un analogue du Deuxieme Theoreme de Brauer.
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Montúfar, López Hernán Roberto. "Teoria de Conley para campos Gutierrez-Sotomayor." [s.n.], 2010. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307543.

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Orientador: Ketty Abaroa de Rezende
Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica
Made available in DSpace on 2018-08-16T08:12:09Z (GMT). No. of bitstreams: 1 MontufarLopez_HernanRoberto_D.pdf: 8015438 bytes, checksum: 1175f8d0f78fe476b09178b6e50f10ec (MD5) Previous issue date: 2010
Resumo: Em [6] são apresentadas condições necessárias e suficientes para a estabilidade estrutural e o teorema de densidade para campos de vetores em 2-variedades com singularidades simples dos seguintes tipos: cone, guarda-chuva de Whitney, ponto duplo e ponto triplo. Nesta tese, estudamos os fluxos induzidos por estes campos de vetores, que denominamos fluxos Gutierrez-Sotomayor, do ponto de vista topológico utilizando a teoria de Conley. Apresentamos uma fórmula dinâmico-topológica que relaciona o índice de Conley de uma variedade com singularidades simples M que possui uma estratificação que a decompõe numa união disjunta da sua parte regular e da sua parte singular. Usando essa estratificação mostramos que se a singularidade está na parte singular S de M o seu índice pode ser calculado tanto com respeito a M como com respeito a S. Definimos uma função de Lyapunov, neste contexto, e mostramos sua existência para fluxos sem órbitas periódicas e sem ciclos singulares. Em seguida, por uma análise da seqüência de homologia longa exata de um par índice determinamos propriedades que um grafo de Lyapunov deve satisfazer para estar associado a um fluxo. Também abordamos a questão da realização de grafos de Lyapunov abstratos. Para isto, primeiramente apresentamos a igualdade de Poincaré-Hopf, para o caso bidimensional, que caracteriza a relação entre o primeiro número de Betti das 1-variedades ramificadas que são fronteiras de um bloco isolante com seu número de componentes de fronteira e o índice numérico de Conley. Em seguida, mostramos que dados números inteiros positivos que satisfaçam a condição de Poincaré-Hopf sempre é possível construir um bloco isolante que satisfaz estes dados dinâmicos e homológicos
Abstract: In [6] a characterization and genericity theorem for C1-structurally stable vector fields tangent to a 2-dimensional compact subset M of Rk are established. Also in [6], new types of structurally stable singularities and periodic orbits are presented. In this thesis we study the continuous flows associated to these vector fields, which we refer to as the Gutierrez-Sotomayor flows on manifolds M with simple singularities using Conley Index Theory. We consider a stratification of M which decomposes it into a union of its regular and singular strata. We prove certain Euler type formulas which relate topology of M and dynamics on the singular strata. We show the existence of a Lyapunov function for Gutierrez-Sotomayor flows without periodic orbits and singular cycles in this context. Using long exact sequence analysis of index pairs we determine necessary and sufficient conditions for a Gutierrez-Sotomayor flow to be defined on an isolating block. We organize this combinatorially with the aid of Lyapunov graphs and using a Poincar'e-Hopf equality we give necessary conditions for a Lyapunov graph to be associated to a Gutierrez-Sotomayor flow and we also prove these conditions are sufficient
Doutorado
Geometria e Topologia
Doutor em Matemática
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Salminen, Adam D. "On the sources of simple modules in nilpotent blocks." Connect to resource, 2005. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1124221435.

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Thesis (Ph. D.)--Ohio State University, 2005.
Title from first page of PDF file. Document formatted into pages; contains viii, 87 p. Includes bibliographical references (p. 85-87). Available online via OhioLINK's ETD Center
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Nova, Araujo Miguel Antonio da. "2D Bloch electrons in magnetic fields." Thesis, University of Cambridge, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.387617.

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Kendall, Toby. "Theoretical models of trade blocs and integrated markets." Thesis, University of Warwick, 2000. http://wrap.warwick.ac.uk/4014/.

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This thesis consists of four main chapters, together with a general introduction and conclusion. The thesis examines, both separately and together, the formation of trade blocs and global market integration. All the models use a partial equilibrium framework, with firms competing as Cournot oligopolists. Chapter 2 presents two models of trade bloc formation under segmented markets. In the first model, with common constant marginal costs, global free trade is optimal for all countries when there are no more than four countries, but with five or more countries there is an incentive to form a trade bloc containing most countries, but excluding at least one. The second model introduces a cost function where a firm's marginal cost is lower when it is located in a larger trade bloc, with little effect on the results. Chapter 3 analyses the formation of trade blocs between countries with different market sizes under segmented markets. The formation of a two country customs union or free trade area will always raise the smaller country's welfare, while the larger country will usually lose from a free trade area, and sometimes from a customs union. Chapter 4, which is joint work with David R. Collie and Morten Hviid, presents a model of strategic trade policy under integrated markets, under complete and incomplete information. In the former case, a low cost country will give an export subsidy which is fully countervailed by the high cost country's import tariff. In the simultaneous signalling game, each country's expected welfare is higher than under free trade. Chapter 5 considers models of trade bloc formation under integrated markets. With common constant costs, there is no incentive for blocs to form. When costs are decreasing in membership of a bloc, either global free trade is optimal or countries would prefer to belong to the smaller of two blocs.
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Ahsani, Sepide. "Wawe propagation in periodic tensegrity structural systems." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2016.

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Periodic structure is a type of periodic medium. Their main characteristics are defined by their unit cell, which is the cell that by repeating it, the lattice is constructed. The main advantage of such structure is that the wave propagation in it can be investigated by using the application of Floquet-Bloch theorem and therefore investigating only a single unit cell. This feature highly reduces the computational cost. In this work a two-dimensional lattice is built using a tensegrity structural unit cell. A tensegrity structure is consist of tension and compression components arranged in a discontinuous system. The dispersion curve is plotted along the edges of IBZ to understand the effect of pre-tension and pre-compression on the band gaps in two cases of a lattice made of only tension components, i.e. cables or compression components, i.e. bars, and a two-dimensional tensegrity system.
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Tatsumi, Kazuyoshi, Shunsuke Muto, and Ján Rusz. "New algorithm for efficient Bloch-waves calculations of orientation-sensitive ELNES." Elsevier, 2013. http://hdl.handle.net/2237/20831.

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Books on the topic "Bloch's theorem"

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Rock blocks. Providence, R.I: American Mathematical Society, 2009.

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Lectures on block theory. Cambridge: Cambridge University Press, 1991.

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Wunsch und Wirklichkeit: Blochs Philosophie des Noch-Nicht-Bewussten und Freuds Theorie des Unbewussten. Frankfurt am Main: Suhrkamp, 1986.

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Ikeda, Takeshi. Coset constructions of conformal blocks. Sendai, Japan: Tohoku University, 1996.

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Ikeda, Takeshi. Coset constructions of conformal blocks. Sendai, Japan: Tohoku University, 1996.

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Biel, Timothy L., and Timothy L. Biel. Atoms: Building blocks of matter. San Diego, CA: Lucent Books, 1990.

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Zimmer, Jörg. Die Kritik der Erinnerung: [Metaphysik, Ontologie und geschichtliche Erkenntnis in der Philosophie Ernst Blochs]. Köln: Dinter, 1993.

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Blocks of finite groups: The hyperfocal subalgebra of a block = [You xian qun de kuai : kuai de chao ju jiao zi dai shu]. Berlin: Springer, 2002.

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Puig, Luis. Blocks of finite groups: The hyperfocal subalgebra of a block. New York: Springer, 2002.

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Navarro, G. Characters and blocks of finite groups. Cambridge, UK: Cambridge University Press, 1998.

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Book chapters on the topic "Bloch's theorem"

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Fujita, Shigeji, and Kei Ito. "Bloch Theorem." In Quantum Theory of Conducting Matter, 85–95. New York, NY: Springer New York, 2007. http://dx.doi.org/10.1007/978-0-387-74103-1_7.

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Brown, Ken A., and Ken R. Goodearl. "Müller’s Theorem and Blocks." In Lectures on Algebraic Quantum Groups, 313–21. Basel: Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8205-7_35.

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McKnight, Heather. "Bloch’s Theories Concerning Religion." In Encyclopedia of Psychology and Religion, 240–43. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-24348-7_200130.

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McManus, Susan. "Bloch’s Utopian Imagination: Fictive Theories." In Fictive Theories, 147–65. New York: Palgrave Macmillan US, 2005. http://dx.doi.org/10.1057/9781403976802_7.

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McKnight, Heather. "Ernst Bloch’s Theories Concerning Religion." In Encyclopedia of Psychology and Religion, 1–4. Berlin, Heidelberg: Springer Berlin Heidelberg, 2017. http://dx.doi.org/10.1007/978-3-642-27771-9_200130-1.

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Sambale, Benjamin. "Essential Subgroups and Alperin’s Fusion Theorem." In Blocks of Finite Groups and Their Invariants, 63–70. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-12006-5_6.

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Alase, Abhijeet. "Generalization of Bloch’s Theorem to Systems with Boundary." In Springer Theses, 13–63. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-31960-1_2.

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Schneider, Peter. "Blocks." In Modular Representation Theory of Finite Groups, 147–73. London: Springer London, 2013. http://dx.doi.org/10.1007/978-1-4471-4832-6_5.

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Alase, Abhijeet. "Mathematical Foundations to the Generalized Bloch Theorem." In Springer Theses, 159–90. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-31960-1_5.

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Hehner, Eric C. R. "Specified Blocks." In Verified Software: Theories, Tools, Experiments, 384–91. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-69149-5_41.

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Conference papers on the topic "Bloch's theorem"

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Collet, Manuel, Morvan Ouisse, Mohammed Ichchou, and Roger Ohayon. "Semi-Active Optimization of 2D Wave’s Dispersion Into Shunted Piezocomposite Systems for Controlling Acoustic Interaction." In ASME 2011 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. ASMEDC, 2011. http://dx.doi.org/10.1115/smasis2011-5018.

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In this paper, we present an application of the Floquet-Bloch theorem in the context of electrodynamics for vibroacoustic power flow optimization by mean of distributed and shunted piezoelectric patches. The main purpose of this work is first to propose a dedicated numerical approach able to compute the multi-modal wave dispersions curves into the whole first Brillouin zone for periodically distributed 2D shunted piezomechanical systems. By using two specific indicators evaluating the evanescent part of Bloch’s waves and the induced electronic damping, we optimize the piezoelectric shunting electrical impedance for controlling energy diffusion into the proposed semi-active distributed set of cells. Sound radiation efficiency is also analyzed for showing the effects of such smart metamaterial for controlling acoustical noise.
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LULEK, B., and T. LULEK. "BETHE ANSATZ, BLOCH THEOREM, AND RIGGED CONFIGURATIONS." In Proceedings of the Sixth's International School of Theoretical Physics. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812811479_0033.

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Hussein, Mahmoud I., and Michael J. Frazier. "Metadamping in Dissipative Metamaterials." In ASME 2013 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/imece2013-66210.

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Using a generalized form of Bloch’s theorem, we derive the dispersion relation of a viscously damped locally resonant metamaterial modeled as an infinite mass-in-mass lumped parameter chain. For comparison, we obtain the dispersion relation for a statically equivalent Bragg-scattering mass-spring chain that is also viscously damped. For the two chains, we prescribe identical damping levels in the dashpots and compare the damping ratio associated with all propagating Bloch modes. We find that the locally resonant metamaterial exhibits higher dissipation throughout the spectrum which indicates a damping emergence phenomena due to the presence of local resonance. This phenomenon, which we define as metadamping, provides a new paradigm for the design of material systems that display both high damping and high stiffness. We conclude our investigation by quantifying the degree of metadamping as a function of the long-wave speed of sound in the medium or the static stiffness.
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Terushkin, Maria, and Offer Shai. "Applying Rigidity Theory Methods for Topological Decomposition and Synthesis of Gear Train Systems." In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/detc2012-70904.

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This paper introduces a novel way to augment the knowledge and methods of rigidity theory to the topological decomposition and synthesis of gear train systems. A graph of gear trains, widely reported in the literature of machine theory, is treated as a graph representation from rigidity theory—the Body-Bar graph. Once we have this Body-Bar graph, methods and theorems from rigidity theory can be employed for analysis and synthesis. In this paper we employ the pebble-game algorithm, a computational method which allows determination of the topological mobility of mechanisms and the decomposition of gear trains into basic building blocks—Body-Bar Assur Graphs. Once we gain the ability to decompose any gear train into standalone components (Body-Bar Assur Graphs), this paper suggests inverting the process and applying the same method for synthesis. Relying on rigidity theory operations (Body-Bar extension, in this case), it is possible to construct all of the Body-Bar Assur Graphs, meaning the building blocks of gear trains. Once we have these building blocks at hand, it is possible to recombine them in various ways, providing us with a topological synthesis method for constructing gear trains. This paper also introduces a transformation between the Body-Bar graph and other graph representations used in mechanisms, thus leaving room for the application of the proposed synthesis and decomposition method directly to known graph representations already used in machine theory.
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Kovács, N. "The building blocks of risk theory and methodology." In CMEM 2015, edited by K. Koppány and D. R. Szabó. Southampton, UK: WIT Press, 2015. http://dx.doi.org/10.2495/cmem150171.

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Tan, Xing, and Jimmy Xiangji Huang. "Levenshtein in Blocks World." In ICTIR '18: The 2018 ACM SIGIR International Conference on the Theory of Information Retrieval. New York, NY, USA: ACM, 2018. http://dx.doi.org/10.1145/3234944.3234976.

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Beig, Leila, and Atefeh Ghavamifar. "Organizational Memory Building Blocks of Virtual Organizations." In Communication Technologies: from Theory to Applications (ICTTA). IEEE, 2008. http://dx.doi.org/10.1109/ictta.2008.4530308.

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Weber, Axel. "Bloch–Wilson Hamiltonian and a Generalization of the Gell-Mann–Low Theorem." In PARTICLES AND FIELDS: Seventh Mexican Workshop. American Institute of Physics, 2000. http://dx.doi.org/10.1063/1.1315054.

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Ratzer, E. A. "Sparse data blocks and multi-user channels." In IEEE International Symposium on Information Theory, 2003. Proceedings. IEEE, 2003. http://dx.doi.org/10.1109/isit.2003.1228329.

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"CUSTOMIZABLE VISUALIZATIONS WITH FORMULA-LINKED BUILDING BLOCKS." In International Conference on Information Visualization Theory and Applications. SciTePress - Science and and Technology Publications, 2012. http://dx.doi.org/10.5220/0003863207680771.

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