Academic literature on the topic 'Neumann boundary condition'

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Journal articles on the topic "Neumann boundary condition"

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Hicdurmaz, Betul. "Finite difference method for a nonlinear fractional Schrödinger equation with Neumann condition." e-Journal of Analysis and Applied Mathematics 2020, no. 1 (2020): 67–80. http://dx.doi.org/10.2478/ejaam-2020-0006.

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Abstract In this paper, a special case of nonlinear fractional Schrödinger equation with Neumann boundary condition is considered. Finite difference method is implemented to solve the nonlinear fractional Schrödinger problem with Neumann boundary condition. Previous theoretical results for the abstract form of the nonlinear fractional Schrödinger equation are revisited to derive new applications of these theorems on the nonlinear fractional Schrödinger problems with Neumann boundary condition. Consequently, first and second order of accuracy difference schemes are constructed for the nonlinear
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Chupin, Laurent. "Roughness effect on Neumann boundary condition." Asymptotic Analysis 78, no. 1-2 (2012): 85–121. http://dx.doi.org/10.3233/asy-2011-1086.

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Kawashita, Mishio. "equation with the Neumann boundary condition." Duke Mathematical Journal 67, no. 2 (1992): 333–51. http://dx.doi.org/10.1215/s0012-7094-92-06712-3.

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Lafitte ★, O. "Differaction for a neumann boundary condition." Communications in Partial Differential Equations 22, no. 3-4 (1997): 1437–94. http://dx.doi.org/10.1080/03605309708821274.

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Beals, Richard, and Nancy K. Stanton. "The Heat Equation for the -Neumann Problem, II." Canadian Journal of Mathematics 40, no. 2 (1988): 502–12. http://dx.doi.org/10.4153/cjm-1988-021-8.

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Let Ω be a compact complex n + 1-dimensional Hermitian manifold with smooth boundary M. In [2] we proved the following.THEOREM 1. Suppose satisfies condition Z(q) with 0 ≦ q ≦ n. Let □p,q denote the -Laplacian on (p, q) forms onwhich satisfy the -Neumann boundary conditions. Then as t → 0;,(0.1)(If q = n + 1, the -Neumann boundary condition is the Dirichlet boundary condition and the corresponding result is classical.)Theorem 1 is a version for the -Neumann problem of results initiated by Minakshisundaram and Pleijel [8] for the Laplacian on compact manifolds and extended by McKean and Singer
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Cao, Shunhua, and Stewart Greenhalgh. "Attenuating boundary conditions for numerical modeling of acoustic wave propagation." GEOPHYSICS 63, no. 1 (1998): 231–43. http://dx.doi.org/10.1190/1.1444317.

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Four types of boundary conditions: Dirichlet, Neumann, transmitting, and modified transmitting, are derived by combining the damped wave equation with corresponding boundary conditions. The Dirichlet attenuating boundary condition is the easiest to implement. For an appropriate choice of attenuation parameter, it can achieve a boundary reflection coefficient of a few percent in a one‐wavelength wide zone. The Neumann‐attenuating boundary condition has characteristics similar to the Dirichlet attenuating boundary condition, but it is numerically more difficult to implement. Both the transmittin
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Moradifam, Amir. "Least gradient problems with Neumann boundary condition." Journal of Differential Equations 263, no. 11 (2017): 7900–7918. http://dx.doi.org/10.1016/j.jde.2017.08.031.

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Kot, V. A. "Integral Method of Boundary Characteristics: Neumann Condition." Journal of Engineering Physics and Thermophysics 91, no. 2 (2018): 445–70. http://dx.doi.org/10.1007/s10891-018-1765-4.

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Meng, Qi, Yan Zhang, Chun-jin Lin, Lin-hua Jiang, and Da Chen. "Modeling of Chloride Distribution in Cement-Based Materials with Neumann Boundary Condition." Advances in Materials Science and Engineering 2018 (August 23, 2018): 1–11. http://dx.doi.org/10.1155/2018/8085954.

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The nonstable transport of chloride in cement-based materials, including diffusion, convection, and chloride binding, is described as a general form of Fick’s law. Inspired by the heat transport of concrete, the second boundary condition called the Neumann boundary condition is considered in the chloride transport of concrete. The theoretical deduction of one-dimensional chloride distribution with the Neumann boundary condition is performed, while a virtual boundary is introduced to carry out the approximate treatment. Finally, the comparison between the general Dirichlet boundary condition an
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Chen, You, Chang Shu, Yu Sun, Li Ming Yang, and Yan Wang. "A diffuse interface IBM for compressible flows with Neumann boundary condition." International Journal of Modern Physics B 34, no. 14n16 (2020): 2040070. http://dx.doi.org/10.1142/s0217979220400706.

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The recently proposed boundary condition-enforced immersed boundary-gas kinetic flux solver (IB-GKFS) is a new approach for simulation of compressible flows with curved and moving boundaries. In the previous application of IB-GKFS, only the Dirichlet boundary condition is considered, which cannot be applied directly to the Neumann boundary condition. In this paper, an auxiliary layer of Lagrangian points is introduced to tackle Neumann boundary condition. Two test cases, including flow around a circular cylinder and flow around a NACA0012 airfoil, are carried out for validation. The results ob
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Dissertations / Theses on the topic "Neumann boundary condition"

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Lambert, Benjamin Stephen. "Mean curvature flow with a Neumann boundary condition in flat spaces." Thesis, Durham University, 2012. http://etheses.dur.ac.uk/3521/.

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In this thesis I study mean curvature flow in both Euclidean and Minkowski space with a Neumann boundary condition. In Minkowski space I show that for a convex timelike cone boundary condition, with compatible spacelike initial data, mean curvature flow with a perpendicular Neumann boundary condition exists for all time. Furthermore, by a blowdown argument I show convergence as t →∞ to a homothetically expanding hyperbolic hyperplane. I also study the case of graphs over convex domains in Minkowski space. I obtain long time existence for spacelike initial graphs which are taken by mean curvatu
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Yang, Xue. "Neumann problems for second order elliptic operators with singular coefficients." Thesis, University of Manchester, 2012. https://www.research.manchester.ac.uk/portal/en/theses/neumann-problems-for-second-order-elliptic-operators-with-singular-coefficients(2e65b780-df58-4429-89df-6d87777843c8).html.

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In this thesis, we prove the existence and uniqueness of the solution to a Neumann boundary problem for an elliptic differential operator with singular coefficients, and reveal the relationship between the solution to the partial differential equation (PDE in abbreviation) and the solution to a kind of backward stochastic differential equations (BSDE in abbreviation).This study is motivated by the research on the Dirichlet problem for an elliptic operator (\cite{Z}). But it turns out that different methods are needed to deal with the reflecting diffusion on a bounded domain. For example, the i
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Choulli, Mourad. "Identifiabilite d'un parametre dans une equation parabolique non lineaire monodimensionnelle." Toulouse 3, 1987. http://www.theses.fr/1987TOU30245.

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Etude, essentiellement basee sur des techniques utilisant le principe du maximum pour les equations paraboliques lineaires, permettant de discuter du probleme d'identifiabilite du parametre qui apparait dans une equation de diffusion non lineaire
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He, Bo. "Compatible discretizations for Maxwell equations." The Ohio State University, 2006. http://rave.ohiolink.edu/etdc/view?acc_num=osu1143171299.

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Mäder-Baumdicker, Elena [Verfasser], and Ernst [Akademischer Betreuer] Kuwert. "The area preserving curve shortening flow with Neumann free boundary conditions = Der flächenerhaltende Curve Shortening Fluss mit einer freien Neumann-Randbedingung." Freiburg : Universität, 2014. http://d-nb.info/1123480648/34.

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Brenot, Dominique. "Transmission du son à l'intérieur d'une structure axisymétrique." Paris 6, 1986. http://www.theses.fr/1986PA066022.

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Problème de la transmission du son sur l'axe d'une structure élastique fermée à symétrie de révolution. Problème de Neumann, associé à la pression acoustique par la méthode de la phase stationnaire et problème de structure par une méthode d'éléments finis.
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Benincasa, Tommaso <1981&gt. "Analysis and optimal control for the phase-field transition system with non-homogeneous Cauchy-Neumann boundary conditions." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2010. http://amsdottorato.unibo.it/3066/.

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Wahbi, Wassim. "Contrôle stochastique sur les réseaux." Thesis, Paris Sciences et Lettres (ComUE), 2018. http://www.theses.fr/2018PSLED072.

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Cette thèse se décompose en trois grandes parties, qui traitent des EDP quasi linéaires paraboliques sur une jonction, des diffusions stochastiques sur une jonction, et du contrôle optimal également sur une jonction, avec contrôle au point de jonction. Nous commençons au premier Chapitre par introduire une nouvelle classe d'EDP non dégénérée et quasi linéaire, satisfaisant une condition de Neumann (ou de Kirchoff) non linéaire et non dynamique au point de jonction. Nous prouvons l'existence d'une solution classique, ainsi que son unicité. L'une des motivations portant sur l'étude de ce type d'
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Cao, Shunxiang. "Numerical Methods for Fluid-Solid Coupled Simulations: Robin Interface Conditions and Shock-Dominated Applications." Diss., Virginia Tech, 2019. http://hdl.handle.net/10919/93514.

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This dissertation investigates the development of numerical algorithms for coupling computational fluid dynamics (CFD) and computational solid dynamics (CSD) solvers, and the use of these solvers for simulating fluid-solid interaction (FSI) problems involving large deformation, shock waves, and multiphase flow. The dissertation consists of two parts. The first part investigates the use of Robin interface conditions to resolve the well-known numerical added-mass instability, which affects partitioned coupling procedures for solving problems with incompressible flow and strong added-mass effect.
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Bensiali, Bouchra. "Approximations numériques en situations complexes : applications aux plasmas de tokamak." Thesis, Aix-Marseille, 2014. http://www.theses.fr/2014AIXM4332/document.

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Motivée par deux problématiques liées aux plasmas de tokamak, cette thèse propose deux méthodes d'approximation numérique pour deux problèmes mathématiques s'y rattachant. D'une part, pour l'étude du transport turbulent de particules, une méthode numérique basée sur les schémas de subdivision est présentée pour la simulation de trajectoires de particules dans un champ de vitesse fortement variable. D'autre part, dans le cadre de la modélisation de l'interaction plasma-paroi, une méthode de pénalisation est proposée pour la prise en compte de conditions aux limites de type Neumann ou Robin. Ana
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Books on the topic "Neumann boundary condition"

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Sun, Xian-He. A high-order direct solver for helmholtz equations with neumann boundary conditions. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1997.

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Sun, Xian-He. A high-order direct solver for helmholtz equations with neumann boundary conditions. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1997.

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Sun, Xian-He. A high-order direct solver for Helmholtz equations with Neumann boundary conditions. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1997.

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Sun, Xian-He. A high-order direct solver for helmholtz equations with neumann boundary conditions. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1997.

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Mann, Peter. The Stationary Action Principle. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0007.

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This crucial chapter focuses on the stationary action principle. It introduces Lagrangian mechanics, using first-order variational calculus to derive the Euler–Lagrange equation, and the inverse problem is described. The chapter then considers the Ostrogradsky equation and discusses the properties of the extrema using the second-order variation to the action. It then discusses the difference between action functions (of Dirichlet boundary conditions) and action functionals of the extremal path. The different types of boundary conditions (Dirichlet vs Neumann) are elucidated. Topics discussed i
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Edmunds, D. E., and W. D. Evans. Second-Order Differential Operators on Arbitrary Open Sets. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198812050.003.0007.

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In this chapter, three different methods are described for obtaining nice operators generated in some L2 space by second-order differential expressions and either Dirichlet or Neumann boundary conditions. The first is based on sesquilinear forms and the determination of m-sectorial operators by Kato’s First Representation Theorem; the second produces an m-accretive realization by a technique due to Kato using his distributional inequality; the third has its roots in the work of Levinson and Titchmarsh and gives operators T that are such that iT is m-accretive. The class of such operators inclu
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Book chapters on the topic "Neumann boundary condition"

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Bianchi, Massimo, Roland Allen, Antonio Mondragon, et al. "Dirichlet-Neumann Boundary Condition." In Concise Encyclopedia of Supersymmetry. Springer Netherlands, 2004. http://dx.doi.org/10.1007/1-4020-4522-0_162.

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Azevedo, A., J. F. Rodrigues, and L. Santos. "The N-membranes Problem with Neumann Type Boundary Condition." In Free Boundary Problems. Birkhäuser Basel, 2006. http://dx.doi.org/10.1007/978-3-7643-7719-9_6.

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Grote, Marcus J., and Christoph Kirsch. "Dirichlet-to-Neumann Boundary Condition for Multiple Scattering Problems." In Mathematical and Numerical Aspects of Wave Propagation WAVES 2003. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-55856-6_42.

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Andreianov, Boris P., and Fouzia Bouhsiss. "Uniqueness for an elliptic-parabolic problem with Neumann boundary condition." In Nonlinear Evolution Equations and Related Topics. Birkhäuser Basel, 2004. http://dx.doi.org/10.1007/978-3-0348-7924-8_37.

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Zolésio, Jean-Paul, and Lorena Bociu. "Strong Shape Derivative for the Wave Equation with Neumann Boundary Condition." In IFIP Advances in Information and Communication Technology. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-36062-6_45.

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Farrell, P. A., A. F. Hegart, J. J. H. Miller, E. O’Riordan, and G. I. Shishkin. "Parameter-Uniform Numerical Methods for a Class of Singularly Perturbed Problems with a Neumann Boundary Condition." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/3-540-45262-1_35.

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Sayas, Francisco-Javier, Thomas S. Brown, and Matthew E. Hassell. "Neumann boundary conditions." In Variational Techniques for Elliptic Partial Differential Equations. CRC Press, 2019. http://dx.doi.org/10.1201/9780429507069-6.

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Droniou, Jérôme, Robert Eymard, Thierry Gallouët, Cindy Guichard, and Raphaèle Herbin. "Neumann, Fourier and Mixed Boundary Conditions." In Mathématiques et Applications. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-79042-8_3.

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Adomian, George. "Decomposition Solutions for Neumann Boundary Conditions." In Solving Frontier Problems of Physics: The Decomposition Method. Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-015-8289-6_7.

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Motreanu, Dumitru, Viorica Venera Motreanu, and Nikolaos Papageorgiou. "Nonlinear Elliptic Equations with Neumann Boundary Conditions." In Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-9323-5_12.

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Conference papers on the topic "Neumann boundary condition"

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Shibata, Yoshihiro, and Senjo Shimizu. "On the Stokes equation with Neumann boundary condition." In Regularity and Other Aspects of the Navier-Stokes Equation. Institute of Mathematics Polish Academy of Sciences, 2005. http://dx.doi.org/10.4064/bc70-0-15.

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Ngiamsunthorn, Parinya Sa. "Boundary variation for non-autonomous parabolic equations with Neumann boundary condition." In INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND STATISTICS 2013 (ICMSS2013): Proceedings of the International Conference on Mathematical Sciences and Statistics 2013. AIP, 2013. http://dx.doi.org/10.1063/1.4823863.

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Wukie, Nathan A., Mark Turner, and Paul D. Orkwis. "A Neumann pressure outlet boundary condition for compressible flows." In 2018 Fluid Dynamics Conference. American Institute of Aeronautics and Astronautics, 2018. http://dx.doi.org/10.2514/6.2018-4265.

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Chen, Fen, and Li Yu. "Image Deblurring with Odd Symmetry Discrete Neumann Boundary Condition." In 2007 International Conference on Machine Learning and Cybernetics. IEEE, 2007. http://dx.doi.org/10.1109/icmlc.2007.4370430.

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Khabou, Mohamed, Mohamed Rhouma, and Lotfi Hermi. "Feature generation using the Laplacian operator with neumann boundary condition." In Proceedings 2007 IEEE SoutheastCon. IEEE, 2007. http://dx.doi.org/10.1109/secon.2007.343005.

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Gortinskaya, L. V., I. Yu Popov, and E. S. Tesovskaya. "Laterally coupled waveguides with Neumann boundary condition: formal asymptotic expansions." In International Seminar Day on Diffraction 2003. IEEE, 2003. http://dx.doi.org/10.1109/dd.2003.238132.

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Rajasekar, M., and R. Anbu. "Periodic boundary condition for Von Neumann CA with radius 2." In RECENT TRENDS IN PURE AND APPLIED MATHEMATICS. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5135251.

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Yusop, Nur Syaza Mohd, and Nurul Akmal Mohamed. "The system of equations for mixed BVP with one Dirichlet boundary condition and three Neumann boundary conditions." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON EDUCATION, MATHEMATICS AND SCIENCE 2016 (ICEMS2016) IN CONJUNCTION WITH 4TH INTERNATIONAL POSTGRADUATE CONFERENCE ON SCIENCE AND MATHEMATICS 2016 (IPCSM2016). Author(s), 2017. http://dx.doi.org/10.1063/1.4983857.

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Kowalewski, Adam. "Optimal control via initial conditions of a time delay hyperbolic system with the Neumann boundary condition." In 2013 18th International Conference on Methods & Models in Automation & Robotics (MMAR). IEEE, 2013. http://dx.doi.org/10.1109/mmar.2013.6669955.

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Kowalewski, Adam. "Optimal control of a time delay hyperbolic system with the Neumann boundary condition." In 2012 17th International Conference on Methods & Models in Automation & Robotics (MMAR). IEEE, 2012. http://dx.doi.org/10.1109/mmar.2012.6347847.

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