Academic literature on the topic 'Montel theorem'

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Journal articles on the topic "Montel theorem"

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Almira, Jose Maria, and László Székelyhidi. "Local polynomials and the Montel theorem." Aequationes mathematicae 89, no. 2 (October 9, 2014): 329–38. http://dx.doi.org/10.1007/s00010-014-0308-0.

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Bär, Christian. "Some Properties of Solutions to Weakly Hypoelliptic Equations." International Journal of Differential Equations 2013 (2013): 1–8. http://dx.doi.org/10.1155/2013/526390.

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A linear different operatorLis called weakly hypoelliptic if any local solutionuofLu=0is smooth. We allow for systems, that is, the coefficients may be matrices, not necessarily of square size. This is a huge class of important operators which coverall elliptic, overdetermined elliptic, subelliptic, and parabolic equations. We extend several classical theorems from complex analysis to solutions of any weakly hypoelliptic equation: the Montel theorem providing convergent subsequences, the Vitali theorem ensuring convergence of a given sequence, and Riemann's first removable singularity theorem. In the case of constant coefficients, we show that Liouville's theorem holds, any bounded solution must be constant, and anyLp-solution must vanish.
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Cid, José Ángel, and Rodrigo López Pouso. "A generalization of Montel–Tonelli's Uniqueness Theorem." Journal of Mathematical Analysis and Applications 429, no. 2 (September 2015): 1173–77. http://dx.doi.org/10.1016/j.jmaa.2015.04.064.

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Cibulka, Radek, Marián Fabian, and Tomáš Roubal. "An Inverse Mapping Theorem in Fréchet-Montel Spaces." Set-Valued and Variational Analysis 28, no. 1 (February 17, 2020): 195–208. http://dx.doi.org/10.1007/s11228-020-00536-2.

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De Grande-De Kimpe, N., C. Perez-Garcia, and W. H. Schikhof. "Non-Archimedean t-Frames and FM-Spaces." Canadian Mathematical Bulletin 35, no. 4 (December 1, 1992): 475–83. http://dx.doi.org/10.4153/cmb-1992-062-4.

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AbstractWe generalize the notion of t-orthogonality in p-adic Banach spaces by introducing t-frames (§2). This we use to prove that a Fréchet-Montel (FM-)space is of countable type (Theorem 3.1), the non-archimedeancounterpart of a well known theorem in functional analysis over ℝ or ℂ ([6], p. 231). We obtain several characterizations of FM-spaces (Theorem 3.3) and characterize the nuclear spaces among them (§4).
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Almira, J. M., and Kh F. Abu-Helaiel. "A p-adic Montel Theorem and locally polynomial functions." Filomat 28, no. 1 (2014): 159–66. http://dx.doi.org/10.2298/fil1401159a.

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We prove a version of Montel?s Theorem for the case of continuous functions defined over the field Qp of p-adic numbers. In particular, we prove that, if ?m+1 h0 f (x) = 0 for all x ? Qp, and h0 satisfies |h0|p = p?N0, then, for all x0 ? Qp, the restriction of f over the set x0 + pN0Zp coincides with a polynomial px0 (x) = a0(x0) + a1(x0)x +...+ am(x0)xm. Motivated by this result, we compute the general solution of the functional equation with restrictions given by ?m+1 h f (x) = 0 (x ? X and h ? BX(r) = {x ? X : ?x? ? r}), whenever f : X ? Y, X is an ultrametric normed space over a non-Archimedean valued field (K, |?|) of characteristic zero, and Y is a Q-vector space. By obvious reasons, we call these functions uniformly locally polynomial.
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GAUSSIER, HERVÉ, and KANG-TAE KIM. "COMPACTNESS OF CERTAIN FAMILIES OF PSEUDO-HOLOMORPHIC MAPPINGS INTO ${\mathbb C}^n$." International Journal of Mathematics 15, no. 01 (February 2004): 1–12. http://dx.doi.org/10.1142/s0129167x04002168.

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We present a normal family theorem for injective almost holomorphic maps from a manifold with almost complex structures into [Formula: see text]. Our theorem implies a new consequence even for the holomorphic mappings of a complex manifold into [Formula: see text], which can be seen as a generalization of the convergence theorem for Frankel's scaling sequence whose images are not necessarily convex. Moreover, our method is closer in spirit to the circle of ideas centered around the classical Montel theorem.
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Bonet, José, and Mikael Lindström. "Spaces of operators between Fréchet spaces." Mathematical Proceedings of the Cambridge Philosophical Society 115, no. 1 (January 1994): 133–44. http://dx.doi.org/10.1017/s0305004100071978.

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AbstractMotivated by recent results on the space of compact operators between Banach spaces and by extensions of the Josefson–Nissenzweig theorem to Fréchet spaces, we investigate pairs of Fréchet spaces (E, F) such that every continuous linear map from E into F is Montel, i.e. it maps bounded subsets of E into relatively compact subsets of F. As a consequence of our results we characterize pairs of Köthe echelon spaces (E, F) such that the space of Montel operators from E into F is complemented in the space of all continuous linear maps from E into F.
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Lee, Junghun. "An alternative proof of the non-Archimedean Montel theorem for rational dynamics." Proceedings of the Japan Academy, Series A, Mathematical Sciences 92, no. 4 (April 2016): 56–58. http://dx.doi.org/10.3792/pjaa.92.56.

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Li, Bao Qin. "A joint theorem generalizing the criteria of Montel and Miranda for normal families." Proceedings of the American Mathematical Society 132, no. 9 (March 25, 2004): 2639–46. http://dx.doi.org/10.1090/s0002-9939-04-07452-0.

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Dissertations / Theses on the topic "Montel theorem"

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Bär, Christian. "Some properties of solutions to weakly hypoelliptic equations." Universität Potsdam, 2012. http://opus.kobv.de/ubp/volltexte/2012/6006/.

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A linear differential operator L is called weakly hypoelliptic if any local solution u of Lu = 0 is smooth. We allow for systems, i.e. the coefficients may be matrices, not necessarily of square size. This is a huge class of important operators which covers all elliptic, overdetermined elliptic, subelliptic and parabolic equations. We extend several classical theorems from complex analysis to solutions of any weakly hypoelliptic equation: the Montel theorem providing convergent subsequences, the Vitali theorem ensuring convergence of a given sequence, and Riemann's first removable singularity theorem. In the case of constant coefficients we show that Liouville's theorem holds, any bounded solution must be constant and any L^p solution must vanish.
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Marchioli, Andresa Baldam [UNESP]. "Dinâmica de endomorfismos do plano complexo e conjuntos de Julia na esfera de Rieman." Universidade Estadual Paulista (UNESP), 2009. http://hdl.handle.net/11449/94261.

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Made available in DSpace on 2014-06-11T19:26:56Z (GMT). No. of bitstreams: 0 Previous issue date: 2009-08-10Bitstream added on 2014-06-13T18:07:02Z : No. of bitstreams: 1 marchioli_ab_me_sjrp.pdf: 317494 bytes, checksum: 518683b62d488d3433a0bee79ecd4f53 (MD5)
Neste trabalho, estudaremos as propriedades dinâmicas de endomorfismos do plano complexo C. Provaremos e o teorema de Montel e mostraremos algumas propriedades topológicas do conjunto de Julia J(f), onde f : C seta C é uma aplicação racional de grau > ou = 2
In this work, we will study the dynamical properties of endomorfisms of complex plane C. We will also prove Montel's theorem and show some topological properties of Julia set J(f), where f : C 'seta' C is a rational map of degree > ou = 2.
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Giner, Emmanuel. "Méthodes d'interaction de configurations et Monte Carlo quantique : marier le meilleur des deux mondes." Toulouse 3, 2014. http://thesesups.ups-tlse.fr/2722/.

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Mes travaux concernent principalement le problème de la corrélation électronique dans les systèmes tels que les atomes ou les molécules. Il sera ici principalement question de méthodes de configuration d'interactions (CI) et de Fixed Node Diffusion Monte Carlo (FN-DMC) appliqués aux calculs de propriétés électroniques telles que l'énergie de corrélation ou les différences d'énergies. L'idée novatrice de ce travail est d'utiliser des fonctions d'ondes CI comme fonctions d'essais pour le FN-DMC, et on montrera que grâce à un algorithme de sélection intelligent de déterminants de Slater, celles ci peuvent en pratique donner d'excellents résultats. On montrera comment on peut améliorer les résultats des méthodes de fonctions d'ondes grâce à la puissance du FN-DMC
This work mainly concerns the general problem of the electronic correlation in molecular and atomic systems. The methods used here to asses this problem belong to two usually separate approaches, namely the configuration interaction (CI) and fixed node diffusion Monte Carlo (FN-DMC). The key idea of this work is to use CI wave functions as trial wave functions for the FN-DMC algorithm, and it will be shown that thanks to wise selection of Slater determinants, these wave function can be used in practice in such context. We will show that the FN-DMC used in this way improve considerably the results obtained with the CI approach
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Voegele, Simon. "Shortfall-Minimierung Theorie und Monte Carlo Simulation /." St. Gallen, 2007. http://www.biblio.unisg.ch/org/biblio/edoc.nsf/wwwDisplayIdentifier/02922300001/$FILE/02922300001.pdf.

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Fearnhead, Paul. "Sequential Monte Carlo methods in filter theory." Thesis, University of Oxford, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.299043.

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Jacob, Alexsandro Machado. "Monte Carlo methods in nonlinear filtering theory." Instituto Tecnológico de Aeronáutica, 2006. http://www.bd.bibl.ita.br/tde_busca/arquivo.php?codArquivo=448.

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This thesis is focused on two basic aspects of the Control Problem: the stochastic modelling of physical systems, and Monte Carlo-based numerical approximation of the nonlinear filtering problem solution. In the first topic this thesis concerns about clarifying some issues in the mathematical modeling of continuous-time systems with Brownian motion. The hypothesis that physical systems should be modelled in continuous-time approach is defended, once the main results in Physics provide solutions for dynamic systems via continuous-time differential equations. It was shown, recalling a main result from the 1960's that a physical system is represented by Fisk-Stratonovich stochastic differential equation, though Ito approach is better to manipulate the mathematical operations. The required conditions for implementing these equations in computers were also studied by using Euler-Maruyama and Milstein schemes of discretization. In the second topic a unified treatment of the available Monte Carlo methods solving the nonlinear filtering problem for continuous and discrete-time modelling is presented with sufficient emphasis on basic applications enabling the engineer to use results provided by the theory. This topic is branched in the study of the theory of nonlinear filtering problem in continuous and discrete-time approaches, and in the investigation of the aspects of Monte Carlo-based numerical solutions approximating unnormalized conditional expectations, as those given by the classical Kallianpur-Striebel formula and its derived robust representation. Investigations showed that the estimates obtained via numerical approximations of the robust representation, or pathwise filter, might accumulate errors when the observation makes this filter alternative equation unstable, a limitation of the method. Another result of this thesis refers to the implementation of Monte Carlo filters using Bayesian representation for discretized models. Although Monte Carlo methods are attractive due to their facility of parallelization, their main drawback is the degeneracy phenomenon of the particles. The traditional resampling scheme solves the problem, but it difficulties the parallelization of the algorithm. The restoration method was then proposed to move the particles towards higher regions in the likelihood function, given information about the model parameters. This open method, in some sense, might decrease the particles degeneracy.
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Ardekani, Armin. "Monte Carlo studies of two dimensional field theories /." Title page, table of contents and introduction only, 1998. http://web4.library.adelaide.edu.au/theses/09PH/09pha676.pdf.

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Tuffin, Bruno. "Simulation acceleree par les methodes de monte carlo et quasi-monte carlo : theorie et applications." Rennes 1, 1997. http://www.theses.fr/1997REN10181.

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Dans cette these nous etudions et appliquons les methodes de monte carlo et quasi-monte carlo. Nous nous interessons premierement a la theorie. Les methodes de quasi-monte carlo sont basees sur deux notions : la variation et la discrepance. Comme premiere contribution, nous ameliorons la repartition d'une famille importante de suites a discrepance faible, les suites de halton. Nous realisons ensuite une technique analogue a la reduction de la variance dans les methodes de monte carlo, la reduction de la variation. La borne de l'erreur n'etant que rarement utilisable en pratique, nous proposons une approche pour l'utilisation des suites a discrepance faible comme technique de reduction de la variance dans les methodes de monte carlo. Nous analysons l'efficacite de cette reduction et comparons les differentes suites afin de choisir la mieux adaptee. La deuxieme partie de la these est consacree a des applications concretes et efficaces de ces methodes. Nous considerons d'abord les reseaux de files d'attente multi-classes a forme produit et ameliorons leur simulation par deux techniques differentes de reduction de la variance : les variables antagonistes et les suites a discrepance faible. Cette derniere methode est ensuite appliquee a la simulation d'un systeme cellulaire avec partage dynamique des ressources. Finalement, nous etudions la simulation des systemes markoviens hautement fiables et approfondissons les methodes existantes. Nous introduisons un nouveau concept, l'approximation normale bornee, qui permet d'obtenir une approximation de la loi normale satisfaisante dans le theoreme de la limite centrale, quelle que soit la fiabilite du systeme etudie, et donnons une condition necessaire et suffisante sur la mesure d'echantillonnage preferentiel pour obtenir cette propriete.
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Stefancik, John. "Demand forecasting using Monte Carlo Multi-Attribute Utility Theory." Thesis, Massachusetts Institute of Technology, 2016. http://hdl.handle.net/1721.1/104825.

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Thesis: S.M. in Technology and Policy, Massachusetts Institute of Technology, School of Engineering, Institute for Data, Systems, and Society, Technology and Policy Program, 2016.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 173-176).
Volatile commodity prices over the past decade, environmentally-focused policy initiatives and new technology developments have forced manufacturers to consider the idea of substituting towards alternative materials in order meet both consumer and societal needs. The threat of substitution has created the need for manufacturing firms and other members of the supply chain to have the ability to understand the implications of substitution on future product market shares and overall raw material demand. This thesis demonstrates how Multi-Attribute Utility Theory (MAUT) can be extended to the group level to forecast future market shares by applying a distribution to the attribute weights and using a Monte Carlo simulation to capture the choices made by a heterogeneous set of decision makers. Unlike established demand forecasting techniques, such as discrete choice models, this methodology requires only a few data points from a handful of expert interviews and allows for systematic changes of preferences over time. Furthermore, the Monte Carlo MAUT methodology utilizes both revealed preference and stated preference data by integrating the two data types through a response surface methodology. Two case studies on underground distribution and overhead distribution power cables are explored in order to illustrate how the Monte Carlo MAUT methodology can be successfully applied in cases where there are diverse product types, limited numbers of decisions makers and historical market share data is sparse. Each case study illustrates how Monte Carlo MAUT can, on a regional basis, provide key insights into the impacts of changing commodity prices, changing product attribute levels, varying new technology learning rates and changing consumer preferences over time. Furthermore, an example of how Monte Carlo MAUT can be utilized to help policymakers evaluate the advantages, disadvantages and overall impact of different policy schemes within an environmental context is provided. Private firms and public governments alike can utilize Monte Carlo MAUT to improve their understanding of how market shares are likely to change over time, and more importantly, the key decisions needed on each party's behalf in order to maximize societal well-being.
by John Stefancik.
S.M. in Technology and Policy
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Jones, Bo. "A New Approximation Scheme for Monte Carlo Applications." Scholarship @ Claremont, 2017. http://scholarship.claremont.edu/cmc_theses/1579.

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Approximation algorithms employing Monte Carlo methods, across application domains, often require as a subroutine the estimation of the mean of a random variable with support on [0,1]. One wishes to estimate this mean to within a user-specified error, using as few samples from the simulated distribution as possible. In the case that the mean being estimated is small, one is then interested in controlling the relative error of the estimate. We introduce a new (epsilon, delta) relative error approximation scheme for [0,1] random variables and provide a comparison of this algorithm's performance to that of an existing approximation scheme, both establishing theoretical bounds on the expected number of samples required by the two algorithms and empirically comparing the samples used when the algorithms are employed for a particular application.
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Books on the topic "Montel theorem"

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Joseph, Anosh. Markov Chain Monte Carlo Methods in Quantum Field Theories. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-46044-0.

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Fox, Bennett L. Strategies for Quasi-Monte Carlo. Boston, MA: Springer US, 1999.

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American Chemical Society. Division of Physical Chemistry, ed. Advances in quantum Monte Carlo. Washington, DC: American Chemical Society, 2012.

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Fu, Michael. Conditional Monte Carlo: Gradient Estimation and Optimization Applications. Boston, MA: Springer US, 1997.

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László, Koblinger, ed. Monte Carlo particle transport methods: Neutron and photon calculations. Boca Raton: CRC Press, 1991.

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Monte Carlo optimization, simulation, and sensitivity of queueing networks. New York: Wiley, 1986.

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M, Jenkins Theodore, Nelson Walter R. 1937-, and Rindi Alessandro, eds. Monte Carlo transport of electrons and photons. New York: Plenum Press, 1988.

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Rennison, Andrew. Comparing alternative output-gap estimators: A Monte Carlo approach. Ottawa: Bank of Canada, 2003.

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Ivashchenko, V. M. Modelirovanie kineticheskikh i͡a︡vleniĭ v poluprovodnikakh: Metod Monte-Karlo. Kiev: Nauk. dumka, 1990.

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Rubinstein, Reuven Y. Monte Carlo optimization, simulation, and sensitivity of queuing networks. Malabar, Fla: Krieger Pub. Co., 1992.

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Book chapters on the topic "Montel theorem"

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Remmert, Reinhold. "The Theorems of Montel and Vitali." In Classical Topics in Complex Function Theory, 147–65. New York, NY: Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4757-2956-6_7.

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Winkler, Gerhard. "The Perron-Frobenius Theorem." In Image Analysis, Random Fields and Dynamic Monte Carlo Methods, 299–300. Berlin, Heidelberg: Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/978-3-642-97522-6_19.

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Suess, Eric A., and Bruce E. Trumbo. "Monte Carlo Integration and Limit Theorems." In Introduction to Probability Simulation and Gibbs Sampling with R, 51–85. New York, NY: Springer New York, 2010. http://dx.doi.org/10.1007/978-0-387-68765-0_3.

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Winkler, Gerhard. "Markov Chains: Limit Theorems." In Image Analysis, Random Fields and Dynamic Monte Carlo Methods, 65–79. Berlin, Heidelberg: Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/978-3-642-97522-6_5.

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Lähde, Timo A., and Ulf-G. Meißner. "Lattice Monte Carlo." In Nuclear Lattice Effective Field Theory, 197–251. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-14189-9_6.

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Niederreiter, Harald, and Arne Winterhof. "Quasi-Monte Carlo Methods." In Applied Number Theory, 185–306. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-22321-6_4.

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Winkler, Gerhard. "Markov Chains: Limit Theorems." In Image Analysis, Random Fields and Markov Chain Monte Carlo Methods, 75–112. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-55760-6_5.

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Winkler, Gerhard. "A Global Convergence Theorem for Descent Algorithms." In Image Analysis, Random Fields and Dynamic Monte Carlo Methods, 305. Berlin, Heidelberg: Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/978-3-642-97522-6_21.

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Błocki, Zbigniew. "The Calabi–Yau Theorem." In Complex Monge–Ampère Equations and Geodesics in the Space of Kähler Metrics, 201–27. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-23669-3_5.

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Carlson, J., and K. E. Schmidt. "Monte Carlo Approaches to Effective Field Theories." In Recent Progress in Many-Body Theories, 431–39. Boston, MA: Springer US, 1992. http://dx.doi.org/10.1007/978-1-4615-3466-2_29.

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Conference papers on the topic "Montel theorem"

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Kulpe, Jason A., Michael J. Leamy, and Karim G. Sabra. "Modeling the acoustic scattering from large fish schools using the Bloch-Floquet theorem." In ICA 2013 Montreal. ASA, 2013. http://dx.doi.org/10.1121/1.4799503.

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Gorhum, Justin, Thomas Muir, Charles M. Slack, Martin L. Barlett, Timothy Hawkins, Charles Tinney, and Woutijn Baars. "Pneumatic infrasound source: Theory and experiment." In ICA 2013 Montreal. ASA, 2013. http://dx.doi.org/10.1121/1.4799588.

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Sommerfeldt, Scott D. "Combining theory and experiment to teach acoustic concepts." In ICA 2013 Montreal. ASA, 2013. http://dx.doi.org/10.1121/1.4799330.

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Shafer, Benjamin M. "An overview of constrained-layer damping theory and application." In ICA 2013 Montreal. ASA, 2013. http://dx.doi.org/10.1121/1.4800606.

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Schwade, Allan J. "What palatalized consonants can tell us about theories of loanword adaptation." In ICA 2013 Montreal. ASA, 2013. http://dx.doi.org/10.1121/1.4800739.

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Umnova, Olga, Andy S. Elliott, and Rodolfo Venegas. "Omnidirectional acoustic absorber with a porous core - theory and measurements." In ICA 2013 Montreal. ASA, 2013. http://dx.doi.org/10.1121/1.4799727.

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Adhikari, Kaushallya, and John R. Buck. "Lattice theory models for space-time sampling of acoustic signals." In ICA 2013 Montreal. ASA, 2013. http://dx.doi.org/10.1121/1.4800857.

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Gumerov, Nail, Claus-Dieter Ohl, Iskander S. Akhatov, Sergei Sametov, and Maxim Khasimullin. "Waves of acoustically induced transparency in bubbly liquids: theory and experiment." In ICA 2013 Montreal. ASA, 2013. http://dx.doi.org/10.1121/1.4799398.

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"Monte-Carlo Image Retargeting." In International Conference on Computer Vision Theory and Applications. SCITEPRESS - Science and and Technology Publications, 2014. http://dx.doi.org/10.5220/0004744404020408.

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Le, Xiaobin. "Applications of the Monte Carlo Method for Estimating the Reliability of Components Under Multiple Cyclic Fatigue Loadings." In ASME 2018 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/imece2018-86130.

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In reliability-based mechanical design, reliability replaces the traditional factor of safety as the measurement index of the safety of mechanical components. More than 90% of metal components under cyclic fatigue loadings in industries fail because of fatigue. The P-S-N curve fatigue theory (Probability - Stress level - Number of cycles) is one of the current important fatigue theories. It is very important to know how to determine the reliability of components under different loading-induced cyclic stresses for reliability-based mechanical design. The Monte Carlo method is a powerful numerical simulation in almost every field such as optimization, numerical integration, and generating draws from a probability distribution. Literature reviews show the Monte Carlo method is successfully implemented to estimate the reliability of components under single loading-induced cyclic stress. However, there is little literature about implementing the Monte Carlo method to estimate the reliability of components under multiple loading-induced cyclic stress by using the P-S-N curve fatigue theory. The purpose of this paper is to develop a new Monte Carlo computational algorithm to calculate the reliability of components under several cyclic loadings using the P-S-N curve fatigue theory. Two key concepts in the widely-accepted Miner rule in fatigue theory are that fatigue damage is linear cumulative and the fatigue damage because of different cyclic stress is independent. Based on these two key concepts, this paper has successfully developed a new Monte Carlo computational algorithm to calculate the reliability of components under multiple loading-induced cyclic stresses using the P-S-N curve fatigue theory. The results obtained by the developed computational algorithm is validated by results obtained from two published methods. The results by the developed computational algorithm is again validated by the K-D probabilistic model. Based on validation studies, the relative differences in the results between the proposed method and the published methods are in the range of 0.66% to 2.98%. Therefore, the developed Monte Carlo computational algorithm is validated and can provide an acceptable estimation of the reliability of components under several cyclic fatigue loadings using the P-S-N curve fatigue theory.
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Reports on the topic "Montel theorem"

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Williams, Timothy J., Ramesh Balakrishnan, Steven C. Pieper, Alessandro Lovato, Ewing Lusk, Maria Piarulli, and Robert Wiringa. Quantum Monte Carlo Calculations in Nuclear Theory. Office of Scientific and Technical Information (OSTI), September 2017. http://dx.doi.org/10.2172/1483999.

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Creutz, M. Lattice gauge theory and Monte Carlo methods. Office of Scientific and Technical Information (OSTI), November 1988. http://dx.doi.org/10.2172/6530895.

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Gonzales, Matthew A., Brian C. Kiedrowski, and Anil K. Prinja. Monte Carlo Doppler Temperature Coefficients with Perturbation Theory. Office of Scientific and Technical Information (OSTI), July 2013. http://dx.doi.org/10.2172/1089478.

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Brown, Forrest B. Monte Carlo Techniques for Nuclear Systems - Theory Lectures. Office of Scientific and Technical Information (OSTI), November 2016. http://dx.doi.org/10.2172/1334102.

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Brunnermeier, Markus, and Yuliy Sannikov. The I Theory of Money. Cambridge, MA: National Bureau of Economic Research, August 2016. http://dx.doi.org/10.3386/w22533.

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Shao, Jun. Monte Carlo Approximations in Bayesian Decision Theory. Part 3. Limiting Behavior of Monte Carlo Approximations. Fort Belvoir, VA: Defense Technical Information Center, December 1988. http://dx.doi.org/10.21236/ada204173.

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Diamond, Douglas, and Raghuram Rajan. Money in a Theory of Banking. Cambridge, MA: National Bureau of Economic Research, November 2003. http://dx.doi.org/10.3386/w10070.

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Kiyotaki, Nobuhiro, and Randall Wright. Search for a Theory of Money. Cambridge, MA: National Bureau of Economic Research, October 1990. http://dx.doi.org/10.3386/w3482.

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Rising, Michael Evan. Using Nuclear Theory, Data and Uncertainties in Monte Carlo Transport Applications. Office of Scientific and Technical Information (OSTI), November 2015. http://dx.doi.org/10.2172/1312626.

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Grubb, Farley. Colonial American Paper Money and the Quantity Theory of Money: An Extension. Cambridge, MA: National Bureau of Economic Research, April 2016. http://dx.doi.org/10.3386/w22192.

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