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Artykuły w czasopismach na temat "Generation of Latin squares"

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M., I. Garcia-Planas, and Roca-Borrego D. "Cyclic-union Operation to Obtain Latin Squares." British Journal of Mathematics & Computer Science 22, no. 5 (2017): 1–8. https://doi.org/10.9734/BJMCS/2017/33945.

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With the power that has taken the information technologies, one has developed the study and research about cryptography, and cryptanalysis, in which Latin squares are ideal candidates for being used in cryptographic systems because the Cayley tables of the nite groups are Latin squares. This fact has awakened a new interest in the study of Latin squares by applying them to the study of code theory and error correcting codes. They also play a significant role in the statistical theory of experimental design. In this work, we develop an algorithm for the generation of Latin squares based on the
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Fontana, Roberto. "Random Latin squares and Sudoku designs generation." Electronic Journal of Statistics 8, no. 1 (2014): 883–93. http://dx.doi.org/10.1214/14-ejs913.

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Kim, Beob G., and Hans H. Stein. "A spreadsheet program for making a balanced Latin Square design." Revista Colombiana de Ciencias Pecuarias 22, no. 4 (2009): 6. http://dx.doi.org/10.17533/udea.rccp.324493.

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Summary Latin square designs are often employed in animal experiments to minimize the number of animals required to detect statistical differences. Generally, potential carryover effects are not balanced out by randomization. Systemic methods are available for equalizing the residual effects. We have developed an Excel® spreadsheet-based program, the Balanced Latin Square Designer (BLSD), to facilitate the generation of Latin squares balanced for carryover effects. The program allows a user to input the number of treatments that is equal to the number of animals and periods in a square. A user
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Zolfaghari, Behrouz, Khodakhast Bibak, and Takeshi Koshiba. "From Random Numbers to Random Objects." Entropy 24, no. 7 (2022): 928. http://dx.doi.org/10.3390/e24070928.

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Many security-related scenarios including cryptography depend on the random generation of passwords, permutations, Latin squares, CAPTCHAs and other types of non-numerical entities. Random generation of each entity type is a different problem with different solutions. This study is an attempt at a unified solution for all of the mentioned problems. This paper is the first of its kind to pose, formulate, analyze and solve the problem of random object generation as the general problem of generating random non-numerical entities. We examine solving the problem via connecting it to the well-studie
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Strube, Michael J. "A BASIC program for the generation of Latin squares." Behavior Research Methods, Instruments, & Computers 20, no. 5 (1988): 508–9. http://dx.doi.org/10.3758/bf03202706.

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Johnson, Laura M., and Stephanie Perkins. "A Discussion of a Cryptographical Scheme Based in F-Critical Sets of a Latin Square." Mathematics 9, no. 3 (2021): 285. http://dx.doi.org/10.3390/math9030285.

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This communication provides a discussion of a scheme originally proposed by Falcón in a paper entitled “Latin squares associated to principal autotopisms of long cycles. Applications in cryptography”. Falcón outlines the protocol for a cryptographical scheme that uses the F-critical sets associated with a particular Latin square to generate access levels for participants of the scheme. Accompanying the scheme is an example, which applies the protocol to a particular Latin square of order six. Exploration of the example itself, revealed some interesting observations about both the structure of
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Jacobson, Mark T., and Peter Matthews. "Generating uniformly distributed random latin squares." Journal of Combinatorial Designs 4, no. 6 (1996): 405–37. http://dx.doi.org/10.1002/(sici)1520-6610(1996)4:6<405::aid-jcd3>3.0.co;2-j.

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Selvi, D., G. Velammal, and Thevasahayam Arockiadoss. "Modified Method of Generating Randomized Latin Squares." IOSR Journal of Computer Engineering 16, no. 1 (2014): 76–80. http://dx.doi.org/10.9790/0661-16187680.

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Saka, J. A., and O. O. Oyadare. "A general construction of mutually orthogonal latin squares of prime order." International Journal of Algebra and Statistics 7, no. 1-2 (2018): 77–93. http://dx.doi.org/10.20454/ijas.2018.1451.

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This paper presents a general method of constructing a complete set of Mutually Orthogonal Latin Squares (MOLS) of the order of any prime, via the use of generating functions dened on the nite eld of this order. Apart from using the generating function to get a complete set of Mutually Orthogonal Latin Squares, the studies of the generating functions opens up the possibility of getting at the deep structural properties of MOLS. Copious examples were given for detailed illustrations.
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SEBERRY, JENNIFER, and DONGVU TONIEN. "SOME CONSTRUCTIONS OF MUTUALLY ORTHOGONAL LATIN SQUARES AND SUPERIMPOSED CODES." Discrete Mathematics, Algorithms and Applications 04, no. 03 (2012): 1250022. http://dx.doi.org/10.1142/s179383091250022x.

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Superimposed codes is a special combinatorial structure that has many applications in information theory, data communication and cryptography. On the other hand, mutually orthogonal latin squares is a beautiful combinatorial object that has deep connection with design theory. In this paper, we draw a connection between these two structures. We give explicit construction of mutually orthogonal latin squares and we show a method of generating new larger superimposed codes from an existing one by using mutually orthogonal latin squares. If n denotes the number of codewords in the existing code th
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Rozprawy doktorskie na temat "Generation of Latin squares"

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Rhodes, Susan Jane. "Latin squares with restrictions." Thesis, Lancaster University, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.385954.

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Ghebremicael, Aman W. "Latin squares and applications /." Available to subscribers only, 2009. http://proquest.umi.com/pqdweb?did=1791777361&sid=1&Fmt=2&clientId=1509&RQT=309&VName=PQD.

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Thesis (Ph. D.)--Southern Illinois University Carbondale, 2009.<br>"Department of Mathematics." Keywords: Intercalates, Latin squares. Includes bibliographical references (p. 43-44). Also available online.
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Ghebremicael, Aman. "Latin Squares and Applications." OpenSIUC, 2008. https://opensiuc.lib.siu.edu/dissertations/266.

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Intercalates and the maximum number of intercalates are presented. We introduced partially intercalate complete Latin squares and results on the existence of some infinite families as well as Latin squares of smaller size is given. The second part of our work summarizes the main results on orthogonal Latin squares. Special type of Latin squares, gerechte designs, are introduced and proof for the existence of such orthogonal Latin squares of prime orders is also presented.
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James, Fiedler. "Greco-Latin squares as bijections." [Ames, Iowa : Iowa State University], 2007.

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Whitaker, Roger Marcus. "Mutually quasi-orthogonal Latin squares." Thesis, Keele University, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.311129.

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This thesis considers problems concerning Latin squares and sets of mutually quasiorthogonal Latin squares (MQOLS). We show how MQOLS are related to a number of other designs and establish bounds on Nq(n), the maximum number of Latin squares of order n in a mutually quasi-orthogonal set. We report the number of quasi-complete mappings admitted by each group of order 15 or less, and explain the surprising result that each of the non-cyclic groups of order 8 possesses exactly 384 complete mappings. For each group G of order 15 or less, we identify the sizes of all maximal sets of mutually orthog
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Isaksson, Edward. "Latin Squares and Tactical Configurations." Thesis, Uppsala universitet, Algebra och geometri, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-447463.

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Daqqa, Ibtisam. "Subconstituent algebras of Latin squares." [Tampa, Fla] : University of South Florida, 2008. http://purl.fcla.edu/usf/dc/et/SFE0002395.

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Daqqa, Ibtisam. "Subconstituent Algebras of Latin Squares." Scholar Commons, 2007. https://scholarcommons.usf.edu/etd/199.

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Let n be a positive integer. A Latin square of order n is an n×n array L such that each element of some n-set occurs in each row and in each column of L exactly once. It is well-known that one may construct a 4-class association scheme on the positions of a Latin square, where the relations are the identity, being in the same row, being in the same column, having the same entry, and everything else. We describe the subconstituent (Terwilliger) algebras of such an association scheme. One also may construct several strongly regular graphs on the positions of a Latin square, where adjacency corre
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Andrén, Lina J. "On Latin squares and avoidable arrays." Doctoral thesis, Umeå universitet, Institutionen för matematik och matematisk statistik, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-36040.

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This thesis consists of the four papers listed below and a survey of the research area. I Lina J. Andrén: Avoiding (m, m, m)-arrays of order n = 2k II Lina J. Andrén: Avoidability of random arrays III Lina J. Andr´en: Avoidability by Latin squares of arrays with even order IV Lina J. Andrén, Carl Johan Casselgren and Lars-Daniel Öhman: Avoiding arrays of odd order by Latin squares Papers I, III and IV are all concerned with a conjecture by Häggkvist saying that there is a constant c such that for any positive integer n, if m ≤ cn, then for every n × n array A of subsets of {1, . . . , n} such
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Higham, Jeffrey T. "Construction methods for row-complete Latin squares." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/nq21356.pdf.

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Książki na temat "Generation of Latin squares"

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Laywine, Charles F. Discrete mathematics using Latin squares. Wiley, 1998.

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Evans, Anthony B. Orthogonal Latin Squares Based on Groups. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-94430-2.

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Dénes, Jozsef. Latin squares: New developments in the theory and applications. North-Holland, 1991.

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J, Dénes, Keedwell A. D, and Beli͡a︡vskai͡a︡ G. B, eds. Latin squares: New developments in the theory and applications. North-Holland, 1991.

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Katz, Jorge M., ed. Technology Generation in Latin American Manufacturing Industries. Palgrave Macmillan UK, 1987. http://dx.doi.org/10.1007/978-1-349-07210-1.

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Evans, Andrew. Opportunities for power generation in Latin America. Reuters Business Insight, 1998.

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1969-, Petrella Ivan, ed. Latin American liberation theology: The next generation. Orbis Books, 2005.

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M, Katz Jorge, ed. Technology generation in Latin American manufacturing industries. St. Martin's Press, 1987.

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Organisation for Economic Co-operation and Development. Development Centre., ed. The second-generation pension reforms in Latin America. Development Centre of the Organisation for Economic Co-operation and Development, 1998.

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Mendelsohn, Eric. Decomposing the complement of 3-nets (Latin squares) into triples: A natural generalization of GDD's. Dept. of Mathematics, University of Toronto, 1990.

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Części książek na temat "Generation of Latin squares"

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Fulton, Kristy. "Latin Squares." In More Math Puzzles and Patterns For Kids. Routledge, 2021. http://dx.doi.org/10.4324/9781003236733-10.

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Hurtado, Ferran. "Squares." In LATIN 2006: Theoretical Informatics. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/11682462_3.

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Aigner, Martin, and Günter M. Ziegler. "Completing Latin squares." In Proofs from THE BOOK. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-05412-3_27.

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Aigner, Martin, and Günter M. Ziegler. "Completing Latin squares." In Proofs from THE BOOK. Springer Berlin Heidelberg, 2018. http://dx.doi.org/10.1007/978-3-662-57265-8_36.

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Aigner, Martin, and Günter M. Ziegler. "Completing Latin squares." In Proofs from THE BOOK. Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-662-44205-0_35.

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Aigner, Martin, and Günter M. Ziegler. "Completing Latin squares." In Proofs from THE BOOK. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-662-04315-8_25.

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Aigner, Martin, and Günter M. Ziegler. "Completing Latin squares." In Proofs from THE BOOK. Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-662-22343-7_23.

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Aigner, Martin, and Günter M. Ziegler. "Completing Latin squares." In Proofs from THE BOOK. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-00856-6_32.

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Hajirasouliha, Iman, Hossein Jowhari, Ravi Kumar, and Ravi Sundaram. "On Completing Latin Squares." In STACS 2007. Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-70918-3_45.

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Dougherty, Steven T. "Mutually Orthogonal Latin Squares." In Springer Undergraduate Mathematics Series. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-56395-0_3.

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Streszczenia konferencji na temat "Generation of Latin squares"

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Fatah, Abdul, Ian McLoughlin, Saim Ghafoor, and Iulia Anton. "An Overview of Quantum Latin Squares in Quantum Information Theory." In 2024 International Conference on Quantum Communications, Networking, and Computing (QCNC). IEEE, 2024. http://dx.doi.org/10.1109/qcnc62729.2024.00018.

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Akhlaq, Muhammad, and Syed Zeeshan Mahfooz. "Integrating DDP to Enhance Cryptographic Potential of Latin Squares Through Increased Permutation Diversity." In 2025 8th International Conference on Data Science and Machine Learning Applications (CDMA). IEEE, 2025. https://doi.org/10.1109/cdma61895.2025.00037.

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Yi, Yanlin, Pingping Liu, Yongji Cao, Sen Yu, Changgang Li, and Xiaoming Liu. "System Frequency Response Model Generation Using Weighted Recursive Least Squares." In 2025 IEEE International Conference on Power and Integrated Energy Systems (ICPIES). IEEE, 2025. https://doi.org/10.1109/icpies65420.2025.11070128.

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Coello, Victor, Marycarmen Peña-Gomar, and Cesar E. Garcia-Ortiz. "Plasmonic Metasurfaces and Metamaterials for Color Generation." In Latin America Optics and Photonics Conference. Optica Publishing Group, 2024. https://doi.org/10.1364/laop.2024.w4a.34.

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Plasmonic coloring utilizes microscopically structured surfaces for selective light manipulation. We explore laser-induced color writing using a Ti-Sapphire laser, analyzed via two-photon luminescence microscopy, to enhance sustainable, CMOS-compatible plasmonic materials.
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Vatutin, E., N. Nikitina, A. Belyshev, and M. Manzyuk. "On polynomial reduction of problems based on diagonal Latin squares to the exact cover problem." In The International Workshop on Information, Computation, and Control Systems for Distributed Environments. Crossref, 2020. http://dx.doi.org/10.47350/iccs-de.2020.26.

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The paper discusses the reduction of problems based on Latin squares to the exact cover problem aiming at its subsequent solution using the dancing links algorithm. The former problems include generation of Latin squares and diagonal Latin squares of a general form/with a given normalization, generation of orthogonal Latin and diagonal Latin squares directly/through the set of transversals, obtaining a set of transversals for a given square, forming a subset of disjoint transversals. For each subproblem, we describe in detail the process of forming the corresponding binary coverage matrices. W
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Шевчук, Виталий Иванович. "ALGEBRAIC METHODS OF GENERATING PAIRWISE TEST SUITES." In Научные исследования. Механизмы, инновации, проблемы и их решения: сборник статей международной научной конференции (Кингисепп, Июль 2023). Crossref, 2023. http://dx.doi.org/10.37539/230726.2023.58.33.003.

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Цель данной статьи - рассмотреть алгебраические методы, как одну из категорий методов генерации парных тестовых наборов. Данная категория основана на математических структурах или концепциях, таких как ортогональные массивы, латинские квадраты, поля Галуа. В статье описываются принципы работы методов, их теоретические свойства и ограничения. Делаются выводы о преимуществах и недостатках алгебраических методов генерации парных тестовых наборов при проектировании тестов. The objective of this article is to review algebraic methods as one of the categories of methods for generating pairwise test
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Wang, Jing, Jianbing Wang, Liuyang Guo, Suili Wei, and Dayong Hu. "CFD Optimization Application on Airside Plate Fins of Condenser Coil of Gravity-Assisted Heat Pipe." In ASME 2005 Summer Heat Transfer Conference collocated with the ASME 2005 Pacific Rim Technical Conference and Exhibition on Integration and Packaging of MEMS, NEMS, and Electronic Systems. ASMEDC, 2005. http://dx.doi.org/10.1115/ht2005-72346.

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The heat transfer and fluid flow characteristics of airside plate fins of the condenser coil of a gravity-assisted heat pipe are numerically predicted. Based on these CFD computations, the optimization of the airside structure of the heat pipe is carried out by studying the influence of different geometry design variables on a combined heat exchanger evaluation function K, which can be changed by an engineer according to his application experience. In this work, one hundred of DOE’s points are sampled across the design space of the heat pipe based on the Latin Hypercube method. The Least Squar
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Orzari, Breno, Thiago Tomei, Maurizio Pierini, et al. "Sparse Data Generation for Particle-Based Simulation of Hadronic Jets in the LHC." In LatinX in AI at International Conference on Machine Learning 2021. Journal of LatinX in AI Research, 2021. http://dx.doi.org/10.52591/202107246.

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We develop a generative neural network for the generation of sparse data in particle physics using a permutation-invariant and physics-informed loss function. The input dataset used in this study consists of the particle constituents of hadronic jets due to its sparsity and the possibility of evaluating the network’s ability to accurately describe the particles and jets properties. A variational autoencoder composed of convolutional layers in the encoder and decoder is used as the generator. The loss function consists of a reconstruction error term and the Kullback-Leibler divergence between t
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Orzari, Breno, Thiago Tomei, Maurizio Pierini, et al. "Sparse Data Generation for Particle-Based Simulation of Hadronic Jets in the LHC." In LatinX in AI at International Conference on Machine Learning 2021. Journal of LatinX in AI Research, 2021. http://dx.doi.org/10.52591/lxai202107246.

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We develop a generative neural network for the generation of sparse data in particle physics using a permutation-invariant and physics-informed loss function. The input dataset used in this study consists of the particle constituents of hadronic jets due to its sparsity and the possibility of evaluating the network’s ability to accurately describe the particles and jets properties. A variational autoencoder composed of convolutional layers in the encoder and decoder is used as the generator. The loss function consists of a reconstruction error term and the Kullback-Leibler divergence between t
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Gang, Wang, Liu Xiaoguang, Lin Sheng, Xie Guangjun, and Liu Jing. "Constructing Liberation Codes Using Latin Squares." In 2008 14th IEEE Pacific Rim International Symposium on Dependable Computing (PRDC). IEEE, 2008. http://dx.doi.org/10.1109/prdc.2008.33.

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Raporty organizacyjne na temat "Generation of Latin squares"

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Millán, Jaime. The Second Generation of Power Exchanges: Lessons for Latin America. Inter-American Development Bank, 1999. http://dx.doi.org/10.18235/0006812.

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Almost two decades after the beginning of the Chilean and English experiments in power sector reform and privatization, many other countries have adopted or are in the process of adopting a model that promotes competition in the wholesale power market that is based partly on the pioneering efforts of those two countries. Some countries which adopted the English model but whose systems are dominated by hydroelectric power found themselves constrained by a structure that did not apply to their particular situations. And now, England and Chile are themselves radically revising their power trading
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Berney, Ernest, Andrew Ward, and Dustin Brown. Enhanced Route Reconnaissance—Generation 1. Engineer Research and Development Center (U.S.), 2025. https://doi.org/10.21079/11681/49799.

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The movement of soldiers and materiel across battlespace is critical to a successful military operation. Knowledge of the road network condition ensures safe and successful vehicle maneuver. This research focused on remote assessment of poor-quality paved road networks for vehicle maneuver using data products derived from three-dimensional point clouds. Point clouds were generated from lidar sensors deployed from ground and airborne platforms to enable engineering analysis of the pavement surface. A series of algorithms developed to extract roughness, grade, radius of curvature, and width alon
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Arias, Karla, David López, Segundo Camino-Mogro, et al. Green Transition and Gender Bias: An Analysis of Renewable Energy Generation Companies in Latin America. Edited by Amanda Beaujon Marin. Inter-American Development Bank, 2022. http://dx.doi.org/10.18235/0004461.

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This study analyzes how the energy transition might change gender bias in power-generating industries. To this end, this paper employs a sample of 102 renewable energy generation companies from six countries in Latin America and the Caribbean: Bolivia, Chile, Costa Rica, Panama, Mexico, and Uruguay. The analysis of collected data shows that renewable generation companies with the highest relative efficiency in the labor-capital ratio are those with the highest participation of women. In addition, the results show that renewable companies are incrementing recruitment of women in energy generati
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Eslava, Marcela, Marcela Meléndez, Gabriel Ulyssea, Nicolás Urdaneta, and Ignacio Flores. Firms and Inequality in Latin America. Inter-American Development Bank, 2024. http://dx.doi.org/10.18235/0012893.

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The relationship between firms and inequality has been a focus of recent attention globally. This chapter summarizes basic facts about this relationship for Latin America. Unlike advanced economies where superstar firm growth has prompted concerns over disproportionate income growth at the top, the facts we summarize illustrate that the main concern for Latin America is the extreme prevalence of tiny businesses whose workers and owners tend to populate the bottom income segments. The empirical likelihood that these businesses improve their productivity and grow to hire more workers and pay bet
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Batlle, Carlos. Analysis of the impact of increased Non-Conventional Renewable Energy generation on Latin American Electric Power Systems. Inter-American Development Bank, 2014. http://dx.doi.org/10.18235/0007960.

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The new renewable sources, such as sun or wind, show a specific set of characteristics such as geographical and temporal variability that challenge their integration into traditional energy systems to supply electricity. These aspects have a great impact in the operation of electricity systems that go from the need for generation reserve in the system in order to guarantee operational reliability to possible changes in network and electricity infrastructure planning. The report is structured as follows: Section 1 provides an overview of renewables in Latin America; Section 2 includes a concept
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Gomelsky, Roberto. Fossil Fuel Power Plants: Available Technologies and Thermal Plant Prospective Potential in Latin America. Inter-American Development Bank, 2012. http://dx.doi.org/10.18235/0009137.

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The general objective of this study is to provide an overview of fossil-fuel-based electric power technologies other than coal-fired technologies (coal-fired technologies are the subject of a specific guideline that has already been adopted by the IDB) and an assessment of the relevance of these technologies in the future power generation mix in Latin America and the Caribbean resulting from new generation and retrofit investment in which the IDB may participate.
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Fisac, Ramón, César Buenadicha Sánchez, Laura Torà Carod, et al. Sustainable Energy Distribution in Latin America: Study on Inclusive Distribution Networks. Inter-American Development Bank, 2016. http://dx.doi.org/10.18235/0006520.

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The study provides details on distribution networks, access to finance, type of technologies and incidence on policies for the development and scaling up of models led by private entrepreneurs committed to providing electricity to the last mile population in Latin America. This ideal scenario is strengthened by the recent Paris climate change agreement which seeks to increase international aid to support the transfer of sustainable technologies and the generation of resilience tools for climate change.
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Alarcón, Arturo, Juan Alberto, Cecilia Correa, et al. Analysis of the Policy and Market Framework for Hydro Pumped Storage in Latin America and the Caribbean. Inter-American Development Bank, 2021. http://dx.doi.org/10.18235/0003721.

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In the next decades, the evolution of the power sector in the region will be based on a combination of large-scale and centralized power plants, distributed generation, and even isolated microgrids. Storage technologies will be crucial to enable the management of the intrinsic variability of some renewable generation (wind and solar), particularly in scenarios where there is a need to reduce fossil fuels used for base generation. Pumped Storage Hydropower (PSH) technologies are an attractive alternative, given the regions hydropower potential, existing installed capacity, and technical knowled
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Southgate, Douglas. Alternatives for Habitat Protection and Rural Income Generation. Inter-American Development Bank, 1997. http://dx.doi.org/10.18235/0008857.

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The key question the research in this paper tries to answer is whether those four activities truly represent a viable economic alternative in Latin America's environmentally fragile hinterlands. Several cases in each line of activity are analyzed to determine the level and distribution of the net financial returns they generate. Special attention was devoted to examining the degree to which net returns flow to local populations, as opposed to other economic agents. In general, examination of the rewards local populations can expect to derive from ecotourism and the harvesting of nontimber fore
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De Salvo, Carmine Paolo, César Falconi, Jorge Ortega, Gustavo Anríquez, and William Foster. Public Expenditures and the Performance of Latin American and Caribbean Agriculture. Inter-American Development Bank, 2016. http://dx.doi.org/10.18235/0012284.

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Economic theory and econometric evidence support the thesis that the displacement of government expenditures on public goods by subsidies to private goods inhibits the performance of the farm sector. This paper presents an analysis of the influence of the mix of expenditures related to agriculture on net income generation, using data for 19 Latin American and Caribbean countries during 1985-2012. The econometric results demonstrate that total government spending on the farm sector positively impacts agriculture's performance. More importantly, and of greater practical economic significance, in
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