Relevant bibliographies by topics / Infinte products

Academic literature on the topic 'Infinte products'

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Published: 4 June 2021
Last updated: 7 February 2022

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Journal articles on the topic "Infinte products"

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ELDAR, YONINA C., and TOBIAS WERTHER. "GENERAL FRAMEWORK FOR CONSISTENT SAMPLING IN HILBERT SPACES." International Journal of Wavelets, Multiresolution and Information Processing 03, no. 03 (September 2005): 347–59. http://dx.doi.org/10.1142/s0219691305000890.

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We introduce a general framework for consistent linear reconstruction in infinite-dimensional Hilbert spaces. We study stable reconstructions in terms of Riesz bases and frames, and generalize the notion of oblique dual frames to infinte-dimensional frames. As we show, the linear reconstruction scheme coincides with the so-called oblique projection, which turns into an ordinary orthogonal projection when adapting the inner product. The inner product of interest is, in general, not unique. We characterize the inner products and the corresponding positive operators for which this geometrical interpretation applies.
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Jeong, JA A., Kazunori Kodaka, and Hiroyuki Osaka. "Purely Infinite Simple C*-Crossed Products II." Canadian Mathematical Bulletin 39, no. 2 (June 1, 1996): 203–10. http://dx.doi.org/10.4153/cmb-1996-025-2.

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AbstractWe study the pure infiniteness of C* -crossed products by endomorphisms and automorphisms. Let A be a purely infinité simple unital C*-algebra. At first we show that a crossed product A × p N by a corner endomorphism p is purely infinite if it is simple. From this observation we prove that any simple C*-crossed products A ×αZ by an automorphism α is purely infinite. Combining this with the result in [Je] on pure infiniteness of crossed products by finite groups, one sees that if α is an outer action by a countable abelian group G then the simple C*-algebra A ×α G is purely infinite.
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Loeb, Peter A., and David A. Ross. "Infinite products of infinite measures." Illinois Journal of Mathematics 49, no. 1 (January 2005): 153–58. http://dx.doi.org/10.1215/ijm/1258138311.

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Meier, John. "The topology of graph products of groups." Proceedings of the Edinburgh Mathematical Society 37, no. 3 (October 1994): 539–44. http://dx.doi.org/10.1017/s001309150001899x.

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Given a finite (connected) simplicial graph with groups assigned to the vertices, the graph product of the vertex groups is the free product modulo the relation that adjacent groups commute. The graph product of finitely presented infinite groups is both semistable at infinity and quasi-simply filtrated. Explicit bounds for the isoperimetric inequality and isodiametric inequality for graph products is given, based on isoperimetric and isodiametric inequalities for the vertex groups.
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Magnot, Jean-Pierre. "The Mean Value for Infinite Volume Measures, Infinite Products, and Heuristic Infinite Dimensional Lebesgue Measures." Journal of Mathematics 2017 (2017): 1–14. http://dx.doi.org/10.1155/2017/9853672.

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One of the goals of this article is to describe a setting adapted to the description of means (normalized integrals or invariant means) on an infinite product of measured spaces with infinite measure and of the concentration property on metric measured spaces, inspired from classical examples of means. In some cases, we get a linear extension of the limit at infinity. Then, the mean value on an infinite product is defined, first for cylindrical functions and secondly taking the uniform limit. Finally, the mean value for the heuristic Lebesgue measure on a separable infinite dimensional topological vector space (e.g., on a Hilbert space) is defined. This last object, which is not the classical infinite dimensional Lebesgue measure but its “normalized” version, is shown to be invariant under translation, scaling, and restriction.
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Brown, K. A. "INFINITE CROSSED PRODUCTS." Bulletin of the London Mathematical Society 22, no. 4 (July 1990): 394–96. http://dx.doi.org/10.1112/blms/22.4.394.

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Meir, Nadav. "Infinite lexicographic products." Annals of Pure and Applied Logic 173, no. 1 (January 2022): 102991. http://dx.doi.org/10.1016/j.apal.2021.102991.

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Izuchi, Keiji. "Weak infinite products of Blaschke products." Proceedings of the American Mathematical Society 129, no. 12 (April 16, 2001): 3611–18. http://dx.doi.org/10.1090/s0002-9939-01-05957-3.

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Muthuvel, Kandasamy. "Infinite products of alephs." Fundamenta Mathematicae 131, no. 3 (1988): 255–56. http://dx.doi.org/10.4064/fm-131-3-255-256.

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HANCL, JAROSLAV, and ONDREJ KOLOUCH. "Irrationality of infinite products." Publicationes Mathematicae Debrecen 83, no. 4 (December 1, 2013): 667–81. http://dx.doi.org/10.5486/pmd.2013.5676.

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Dissertations / Theses on the topic "Infinte products"

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Penrod, Keith. "Infinite product groups /." Diss., CLICK HERE for online access, 2007. http://contentdm.lib.byu.edu/ETD/image/etd1977.pdf.

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Penrod, Keith G. "Infinite Product Group." BYU ScholarsArchive, 2007. https://scholarsarchive.byu.edu/etd/976.

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The theory of infinite multiplication has been studied in the case of the Hawaiian earring group, and has been seen to simplify the description of that group. In this paper we try to extend the theory of infinite multiplication to other groups and give a few examples of how this can be done. In particular, we discuss the theory as applied to symmetric groups and braid groups. We also give an equivalent definition to K. Eda's infinitary product as the fundamental group of a modified wedge product.
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Johnson, Rebecca. "Convergence of Infinite Products in Groups and Semigroups." OpenSIUC, 2013. https://opensiuc.lib.siu.edu/theses/1115.

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This thesis examines convergence infinite products in groups and semigroups. Chapter One formulates the underlying semigroup theory needed for the rest of the thesis. In Chapter Two, results concerning convergence of infinite products are proven. Finally, the thesis culminates with computer simulations of products on semigroups, and a conjecture concerning weak ergodicity in hon-homogeneous Markov chains is generated.
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Cui, Hongbin. "The omega - categories associated with products of infinite-dimensional globes." Thesis, Heriot-Watt University, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.395010.

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Riemann, Felix [Verfasser]. "The Pointwise Product in Infinite-dimensional Distribution Spaces and Applications / Felix Riemann." München : Verlag Dr. Hut, 2015. http://d-nb.info/1077403933/34.

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Fedosov, Boris. "Moduli spaces and deformation quantization in infinite dimensions." Universität Potsdam, 1998. http://opus.kobv.de/ubp/volltexte/2008/2539/.

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We construct a deformation quantization on an infinite-dimensional symplectic space of regular connections on an SU(2)-bundle over a Riemannian surface of genus g ≥ 2. The construction is based on the normal form thoerem representing the space of connections as a fibration over a finite-dimensional moduli space of flat connections whose fibre is a cotangent bundle of the infinite-dimensional gauge group. We study the reduction with respect to the gauge groupe both for classical and quantum cases and show that our quantization commutes with reduction.
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Dito, Joseph. "Star-produits en dimension infinie : le cas de la théorie quantique des champs." Dijon, 1993. http://www.theses.fr/1993DIJOS004.

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Une généralisation des star-produits en dimension infinie permet d'aborder sous un jour nouveau les problèmes de divergences rencontrés dans la quantification des champs en intéraction. Le star-produit normal donne un sens à la quantification du champ scalaire libre. De plus, ce produit permet d'établir formellement que l'intégrale de chemins de Feynman pour des champs en intéraction est égale, a une fonction multiplicative près, a l'exponentielle-star de l'hamiltonien. L'équivalence cohomologique de star-produits est utilisée pour la construction de quantifications, autres que celle de Fock, pour l'équation de Klein-Gordon. Dans cette approche, la quantification des champs scalaires en intéraction passe par la construction de star-produits, cohomologiquement équivalents au star-produit normal, admettant le groupe de Poincaré comme groupe de covariance. Il est alors possible d'éliminer certaines divergences apparaissant dans l'exponentielle-star de l'hamiltonien d'intéraction
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Wharton, Elizabeth. "The model theory of certain infinite soluble groups." Thesis, University of Oxford, 2006. http://ora.ox.ac.uk/objects/uuid:7bd8d05b-4ff6-4326-8463-f896e2862e25.

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This thesis is concerned with aspects of the model theory of infinite soluble groups. The results proved lie on the border between group theory and model theory: the questions asked are of a model-theoretic nature but the techniques used are mainly group-theoretic in character. We present a characterization of those groups contained in the universal closure of a restricted wreath product U wr G, where U is an abelian group of zero or finite square-free exponent and G is a torsion-free soluble group with a bound on the class of its nilpotent subgroups. For certain choices of G we are able to use this characterization to prove further results about these groups; in particular, results related to the decidability of their universal theories. The latter part of this work consists of a number of independent but related topics. We show that if G is a finitely generated abelian-by-metanilpotent group and H is elementarily equivalent to G then the subgroups gamma_n(G) and gamma_n(H) are elementarily equivalent, as are the quotient groups G/gamma_n(G) and G/gamma_n(H). We go on to consider those groups universally equivalent to F_2(VN_c), where the free groups of the variety V are residually finite p-groups for infinitely many primes p, distinguishing between the cases when c = 1 and when c > 2. Finally, we address some important questions concerning the theories of free groups in product varieties V_k · · ·V_1, where V_i is a nilpotent variety whose free groups are torsion-free; in particular we address questions about the decidability of the elementary and universal theories of such groups. Results mentioned in both of the previous two paragraphs have applications here.
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Rahibe, Mohammed. "Exposants de Lyapounoff et nombre de rotation de produits infinis de matrices." Aix-Marseille 2, 1992. http://www.theses.fr/1992AIX22075.

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Une description geometrique de l'action d'une matrice reelle 22 symplectique sur des vecteurs du plan nous permet d'introduire la notion de forme normale d'une matrice symplectique. Nous utilisons cette notion a la fois pour etudier le plus grand exposant de lyapounoff et le nombre de rotation pour les produits infinis de matrices. Tout d'abord nous transformons l'action de produits infinis de matrices sur un vecteur en une marche sur des arbres constitues de chemins ponderes. Puis nous calculons exactement le plus grand exposant de lyapounoff pour un produit binaire d'une matrice singuliere et une matrice reelle 22. Nous utilisons la description geometrique pour majorer et minorer le plus grand exposant de lyapounoff, et trouver des lois d'echelles. De l'autre cote en utilisant la representation graphique nous obtenons des bornes exactes pour le plus grand exposant de lyapounoff. Dans la seconde partie, nous commencons l'etude du nombre de rotation par donner un nouveau algorithme pour calculer cette quantite. Puis nous utilisons cet algorithme pour donner les premiers termes d'un developpement du nombre de rotation pour les produits binaires infinis de matrices symplectiques aleatoires, suivant les parametres de la distribution de probabilite utilise pour choisir les matrices des produits. Enfin nous donnons une relation de dualite entre des produits elliptiques de matrices symplectiques et des produits hyperboliques de matrices symplectiques
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Bieniecka, Ewa. "Commutativity and free products in Thompson's Group V." Thesis, University of St Andrews, 2018. http://hdl.handle.net/10023/14652.

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We broaden the theory of dynamical interpretation, investigate the property of commutativity and explore the subject of subgroups forming free products in Thompson's group V. We expand Brin's terminology for a revealing pair to an any tree pair. We use it to analyse the dynamical behaviour of an arbitrary tree pair which cannot occur in a revealing pair. Hence, we design a series of algorithms generating Brin's revealing pair from any tree pair, by successively eliminating the undesirable structures. To detect patterns and transitioning between tree pairs, we introduce a new combinatorial object called the chains graph. A newly defined, unique and symmetrical type of a tree pair, called a balanced tree pair, stems from the use of the chains graphs. The main theorem of Bleak et al. in "Centralizers in the R. Thompson's Group V_n" states the necessary structure of the centraliser of an element of V. We provide a converse to this theorem, by proving that each of the predicted structures is realisable. Hence we obtain a complete classification of centralisers in V. We give an explicit construction of an element of V with prescribed centraliser. The underlying concept is to embed a Cayley graph of a finite group into the flow graph (introduced in Bleak et al.) of the desired element. To reflect the symmetry, we present the resulting element in terms of a balanced tree pair. The group V is conjectured to be a universal coCF group, which generates interest in studying its subgroups. We develop a better understanding of embeddings into V by providing a necessary and sufficient dynamical condition for two subgroups (not both torsion) to form a free product in V. For this, we use the properties, explored in Bleak and Salazar-Díaz "Free Products in Thompson's Group V", of sets of so--called important points, and the Ping-Pong action induced on them.
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Books on the topic "Infinte products"

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S, Passman Donald. Infinite crossed products. Boston: Academic Press, 1989.

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Melnikov, Yuri A. Green's Functions and Infinite Products. Boston: Birkhäuser Boston, 2011. http://dx.doi.org/10.1007/978-0-8176-8280-4.

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Amberg, Bernhard. Products of groups. Oxford: Clarendon Press, 1992.

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Reich, Simeon, and Alexander Zaslavski, eds. Infinite Products of Operators and Their Applications. Providence, Rhode Island: American Mathematical Society, 2015. http://dx.doi.org/10.1090/conm/636.

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service), SpringerLink (Online, ed. Green's Functions and Infinite Products: Bridging the Divide. Boston: Springer Science+Business Media, LLC, 2011.

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Euler, Leonhard. Introduction to analysis of the infinite. New York: Springer-Verlag, 1988.

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Kim, Korn, ed. Infinite possibility: Creating customer value on the digital frontier. San Francisco, CA: BK Business, 2011.

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Tensor products and independent sums of Lp-spaces, 1. Providence, R.I: American Mathematical Society, 1999.

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Zaslavski, Alexander J., and Simeon Reich. Infinite products of operators and their applications: A research workshop of the Israel Science Foundation : May 21-24, 2012, Haifa, Israel : Israel mathematical conference proceedings. Providence, Rhode Island: American Mathematical Society, 2015.

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Argentina) Luis Santaló Winter School-CIMPA Research School Topics in Noncommutative Geometry (3rd 2010 Buenos Aires. Topics in noncommutative geometry: Third Luis Santaló Winter School-CIMPA Research School Topics in Noncommutative Geometry, Universidad de Buenos Aires, Buenos Aires, Argentina, July 26-August 6, 2010. Edited by Cortiñas, Guillermo, editor of compilation. Providence, RI: American Mathematical Society, 2012.

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Book chapters on the topic "Infinte products"

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Agarwal, Ravi P., Kanishka Perera, and Sandra Pinelas. "Infinite Products." In An Introduction to Complex Analysis, 281–86. Boston, MA: Springer US, 2011. http://dx.doi.org/10.1007/978-1-4614-0195-7_42.

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Gentili, Graziano, Caterina Stoppato, and Daniele C. Struppa. "Infinite Products." In Springer Monographs in Mathematics, 51–73. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-33871-7_4.

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Reich, Simeon, and Alexander J. Zaslavski. "Infinite Products." In Developments in Mathematics, 247–351. New York, NY: Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4614-9533-8_6.

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Bhattacharjee, Meenaxi, Rögnvaldur G. Möller, Dugald Macpherson, and Peter M. Neumann. "Wreath Products." In Notes on Infinite Permutation Groups, 67–76. Gurgaon: Hindustan Book Agency, 1997. http://dx.doi.org/10.1007/978-93-80250-91-5_8.

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Greene, Robert, and Steven Krantz. "Infinite series and products." In Graduate Studies in Mathematics, 255–78. Providence, Rhode Island: American Mathematical Society, 2006. http://dx.doi.org/10.1090/gsm/040/08.

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Benker, Hans. "Infinite Series and Products." In Practical Use of Mathcad®, 338–47. London: Springer London, 1999. http://dx.doi.org/10.1007/978-1-4471-0539-8_21.

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Lvovski, Serge. "Infinite Sums and Products." In Principles of Complex Analysis, 163–88. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-59365-0_11.

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Colombo, Fabrizio, Irene Sabadini, and Daniele C. Struppa. "Slice Regular Infinite Products." In SpringerBriefs in Mathematics, 55–76. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-49265-0_4.

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Courant, Richard, and Fritz John. "Infinite Sums and Products." In Introduction to Calculus and Analysis, 510–70. New York, NY: Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4613-8955-2_7.

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Courant, Richard, and Fritz John. "Infinite Sums and Products." In Introduction to Calculus and Analysis, 510–70. Berlin, Heidelberg: Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/978-3-642-58604-0_7.

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Conference papers on the topic "Infinte products"

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FODA, OMAR, and GUS SCHRADER. "XXZ SCALAR PRODUCTS, MIWA VARIABLES AND DISCRETE KP." In Proceedings of the Infinite Analysis 09. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814324373_0004.

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KEDEM, RINAT. "A PENTAGON OF IDENTITIES, GRADED TENSOR PRODUCTS, AND THE KIRILLOV-RESHETIKHIN CONJECTURE." In Proceedings of the Infinite Analysis 09. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814324373_0010.

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Farrell, Ronald S., Gary Stump, Jaeil Park, and Timothy W. Simpson. "A Prototype Web-Based Custom Product Specification System." In ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/detc2003/cie-48274.

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For companies who must provide customized products on demand, it is important that the voice of the customer be addressed and incorporated early into the design process. Web-based design interfaces have emerged as useful tools to make customer voices interactive and provide a customer-friendly and cost-effective interface. The effectiveness of the interface can be greatly enhanced through implementation of a strategic customization process that can proactively react to customer requests. The design process represents a virtual product line that approaches the goal of providing infinite variety at minimal costs. The process provides a base for a true customization approach, which is different from the typical mass customization approach to provide ample but limited product variety a priori for a targeted market. In this paper, we describe the development of a prototypical custom product specification system and the underlying strategic design process that is based on a collection of product platforms. The development is illustrated using an example from on-going research with a company that produces customized valves for the power industry.
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Wohrle, S., and W. Thomas. "Model checking synchronized products of infinite transition systems." In Proceedings of the 19th Annual IEEE Symposium on Logic in Computer Science, 2004. IEEE, 2004. http://dx.doi.org/10.1109/lics.2004.1319595.

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Tanaka, Taka-aki, Masaaki Amou, and Masanori Katsurada. "Algebraic independence properties related to certain infinite products." In DIOPHANTINE ANALYSIS AND RELATED FIELDS 2011: DARF - 2011. AIP, 2011. http://dx.doi.org/10.1063/1.3630047.

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UEDA, YOSHIMICHI. "FREE PRODUCT ACTIONS AND THEIR APPLICATIONS." In Proceedings of the RIMS Workshop on Infinite-Dimensional Analysis and Quantum Probability. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812705242_0017.

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Tachiya, Yohei, Masaaki Amou, and Masanori Katsurada. "Arithmetical properties of infinite products generated by binary recurrences." In DIOPHANTINE ANALYSIS AND RELATED FIELDS 2011: DARF - 2011. AIP, 2011. http://dx.doi.org/10.1063/1.3630046.

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SUZUKI, MASUO. "SEPARATION OF NON-COMMUTATIVE PROCEDURES — EXPONENTIAL PRODUCT FORMULAS AND QUANTUM ANALYSIS." In Proceedings of the RIMS Workshop on Infinite-Dimensional Analysis and Quantum Probability. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812705242_0016.

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Sondow, Jonathan, Masaaki Amou, and Masanori Katsurada. "Evaluation of Tachiya’s algebraic infinite products involving Fibonacci and Lucas numbers." In DIOPHANTINE ANALYSIS AND RELATED FIELDS 2011: DARF - 2011. AIP, 2011. http://dx.doi.org/10.1063/1.3630044.

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Tseng, Chien-Cheng, and Su-Ling Lee. "Design of variable fractional order differentiator using infinite product expansion." In 2011 European Conference on Circuit Theory and Design (ECCTD). IEEE, 2011. http://dx.doi.org/10.1109/ecctd.2011.6043299.

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Reports on the topic "Infinte products"

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Liu, Cheng-Hsin, Ha L. Nguyen, and Omar M. Yaghi. Reticular Chemistry and Harvesting Water from Desert Air. AsiaChem Magazine, November 2020. http://dx.doi.org/10.51167/acm00007.

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Although chemists, in general, are concerned with the art and science of constructing molecules and understanding their behavior, for a long time the idea that such molecules can be linked together by strong bonds to make infinite, extended structures were fraught with failure. The notion of using molecular building blocks to make such structures invariably led to chaotic, ill-defined materials and therefore not only defying the chemists’ need to exert their will on the design of matter but also preventing them from deciphering the atomic arrangement of such products. The field remained undeveloped for most of the twentieth century, and it was taken as an article of faith that linking molecules by strong bonds to make extended structures is a “waste of time” because “it doesn’t work.”
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Qin, Hong, Cynthia K. Phillips, and Ronald C. Davidson. Response to "Comment on ' A New Derivation of the Plasma Susceptibility Tensor for a Hot Magnetized Plasma Without Infinite Sums of Products of Bessel Functions'. Office of Scientific and Technical Information (OSTI), February 2008. http://dx.doi.org/10.2172/960232.

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Chao, A. W., and P. L. Morton. Physical Picture of the Electromagnetic Fields Between Two Infinite Conducting Plates Produced by a Point Charge Moving at the Speed of Light. Office of Scientific and Technical Information (OSTI), June 2015. http://dx.doi.org/10.2172/1185181.

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