Academic literature on the topic 'Binary Quadratic'

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Journal articles on the topic "Binary Quadratic"

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Peters, Meinhard. "Indecomposable binary quadratic forms." Archiv der Mathematik 57, no. 5 (1991): 467–68. http://dx.doi.org/10.1007/bf01246744.

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Uludağ, A. Muhammed, Ayberk Zeytin, and Merve Durmuş. "Binary quadratic forms as dessins." Journal de Théorie des Nombres de Bordeaux 29, no. 2 (2017): 445–69. http://dx.doi.org/10.5802/jtnb.987.

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Abdesselam, Abdelmalek, and Jaydeep Chipalkatti. "Quadratic involutions on binary forms." Michigan Mathematical Journal 61, no. 2 (2012): 279–96. http://dx.doi.org/10.1307/mmj/1339011528.

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Coleman, Graham. "Review of binary quadratic forms." ACM SIGACT News 41, no. 4 (2010): 34–35. http://dx.doi.org/10.1145/1907450.1907518.

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Séguin, François. "Composition of Binary Quadratic Forms." Resonance 24, no. 6 (2019): 633–51. http://dx.doi.org/10.1007/s12045-019-0822-4.

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Ji, Yun-Seong, Myeong Jae Kim, and Byeong-Kweon Oh. "Diagonal quadratic forms representing all binary diagonal quadratic forms." Ramanujan Journal 45, no. 1 (2017): 21–32. http://dx.doi.org/10.1007/s11139-016-9857-2.

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P.S., Banu, and Suganthi T. "Five errors correcting (73, 61, 12) quadratic residue code over ternary field." Journal of Algebra and Applied Mathematics 21, no. 1 (2023): 17–34. https://doi.org/10.5281/zenodo.7960667.

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This paper investigates the error-correcting performance of (73,61,12) quadratic residue code over a ternary eld. A technique used to determine unknown syndromes of binary quadratic residue code is applied to the non-binary case to decode the ternary quadratic residue code of length 73. Furthermore, known and unknown syn- dromes are produced using the error-locator polynomial.
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Luo, Jian, Shu-Cherng Fang, Zhibin Deng, and Xiaoling Guo. "Soft Quadratic Surface Support Vector Machine for Binary Classification." Asia-Pacific Journal of Operational Research 33, no. 06 (2016): 1650046. http://dx.doi.org/10.1142/s0217595916500469.

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In this paper, a kernel-free soft quadratic surface support vector machine model is proposed for binary classification directly using a quadratic function for separation. Properties (including the solvability, uniqueness and support vector representation of the optimal solution) of the proposed model are derived. Results of computational experiments on some artificial and real-world classifying data sets indicate that the proposed soft quadratic surface support vector machine model may outperform Dagher’s quadratic model and other soft support vector machine models with a Quadratic or Gaussian
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Spearman, Blair K., and Kenneth S. Williams. "Representing Primes by Binary Quadratic Forms." American Mathematical Monthly 99, no. 5 (1992): 423. http://dx.doi.org/10.2307/2325086.

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Galovich, Steven, and Jeremy Resnick. "Representing Primes by Binary Quadratic Forms." Mathematics Magazine 64, no. 1 (1991): 34. http://dx.doi.org/10.2307/2690453.

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Dissertations / Theses on the topic "Binary Quadratic"

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Bettiol, Enrico. "Column generation methods for quadratic mixed binary programming." Thesis, Paris 13, 2019. http://www.theses.fr/2019PA131073.

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La programmation non linéaire mixte peut modéliser un grand nombre de problèmes réels. Cependant, ces problèmes peuvent contenir de nombreuses variables ou contraintes, il convient donc de proposer des méthodes de décomposition afin de les résoudre efficacement. Parmi ces techniques on peut citer la génération de colonnes et notamment la décomposition de Dantzig-Wolfe. Il s’agit d’une reformulation du problème original, qui permet de générer une séquence de sous-problèmes plus simples, appelés maître etpricing, pour obtenir la valeur optimale. Développée d’abord pour les problèmes linéaires, l
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Pintore, Federico. "Binary quadratic forms, elliptic curves and Schoof's algorithm." Doctoral thesis, Università degli studi di Trento, 2015. https://hdl.handle.net/11572/367967.

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In this thesis, I show that the representation of prime integers by reduced binary quadratic forms of given discriminant can be obtained in polynomial complexity using Schoof's algorithm for counting the number of points of elliptic curves over finite fields. It is a remarkable fact that, although an algorithm of Gauss' solved the representation problem long time ago, a solution in polynomial complexity is very recent and almost unnoticed in the literature. Further, I present a viable alternative to Gauss' algorithm, which constitutes the main original contribution of my thesis. This alternati
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Pintore, Federico. "Binary quadratic forms, elliptic curves and Schoof's algorithm." Doctoral thesis, University of Trento, 2015. http://eprints-phd.biblio.unitn.it/1449/1/PhD_Thesis_-_Federico_Pintore.pdf.

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In this thesis, I show that the representation of prime integers by reduced binary quadratic forms of given discriminant can be obtained in polynomial complexity using Schoof's algorithm for counting the number of points of elliptic curves over finite fields. It is a remarkable fact that, although an algorithm of Gauss' solved the representation problem long time ago, a solution in polynomial complexity is very recent and almost unnoticed in the literature. Further, I present a viable alternative to Gauss' algorithm, which constitutes the main original contribution of my thesis. This alternati
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Beyerl, Jeffrey J. "Binary quadratic forms over F[T] and principal ideal domains." Connect to this title online, 2009.

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Liu, Dunxue Carleton University Dissertation Mathematics. "Dihedral polynomial congruences and binary quadratic forms: a class field theory approach." Ottawa, 1992.

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Tempesta, Patricia. "Simmetries in binary differential equations." Universidade de São Paulo, 2017. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-11072017-170308/.

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The purpose of this thesis in to introduce the systematic study of symmetries in binary differential equations (BDEs). We formalize the concept of a symmetric BDE, under the linear action of a compact Lie group. One of the main results establishes a formula that relates the algebraic and geometric effects of the occurrence of the symmetry in the problem. Using tools from invariant theory and representation theory for compact Lie groups we deduce the general forms of equivariant binary differential equations under compact subgroups of O(2). A study about the behavior of the invariant straight l
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Miller, Nicole Renee. "The Structure of the Class Group of Imaginary Quadratic Fields." Thesis, Virginia Tech, 2005. http://hdl.handle.net/10919/32572.

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Let $Q(\sqrt{-d})$ be an imaginary quadratic field with discriminant $\Delta$. We use the isomorphism between the ideal class groups of the field and the equivalence classes of binary quadratic forms to find the structure of the class group. We determine the structure by combining two of Shanks' algorithms [7, 8]. We utilize this method to find fields with cyclic factors that have order a large power of 2, or fields with class groups of high 5-ranks or high 7-ranks.<br>Master of Science
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Battikh, Rabih. "La résοlutiοn de prοblème quadratique binaire par des méthοdes d'οptimisatiοn exactes et apprοchées". Electronic Thesis or Diss., Normandie, 2024. http://www.theses.fr/2024NORMLH20.

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Dans cette thèse, nous avons présenté un nouvel algorithme hybride (HA) pour la résolution du problème (UQP). Cet algorithme est basé sur la combinaison d'un bloc de cinq procédures spéciales et de la méthode du recuit simulé. Nos procédures sont très efficaces et rapides, mais malheureusement, parfois elles sont bloquées par un minimum local. Pour surmonter cet inconvénient, nous les avons combinées avec un algorithme de recuit simulé. Ensuite, nous avons répété ces procédures plusieurs fois pour obtenir la meilleure solution en utilisant notre algorithme hybride.Nous avons remarqué que l'éca
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in, dani@math tifr res. "On Orbits of SL(2,Z)$_+$ and Values of Binary Quadratic Forms on Positive Integral Pairs." ESI preprints, 2001. ftp://ftp.esi.ac.at/pub/Preprints/esi1050.ps.

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Constable, Jonathan A. "Kronecker's Theory of Binary Bilinear Forms with Applications to Representations of Integers as Sums of Three Squares." UKnowledge, 2016. http://uknowledge.uky.edu/math_etds/35.

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In 1883 Leopold Kronecker published a paper containing “a few explanatory remarks” to an earlier paper of his from 1866. His work loosely connected the theory of integral binary bilinear forms to the theory of integral binary quadratic forms. In this dissertation we discover the statements within Kronecker's paper and offer detailed arithmetic proofs. We begin by developing the theory of binary bilinear forms and their automorphs, providing a classification of integral binary bilinear forms up to equivalence, proper equivalence and complete equivalence. In the second chapter we introduce the c
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Books on the topic "Binary Quadratic"

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Buell, Duncan A. Binary Quadratic Forms. Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-4542-1.

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Punnen, Abraham P., ed. The Quadratic Unconstrained Binary Optimization Problem. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-04520-2.

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Buell, Duncan A. Binary quadratic forms: Classical theory and modern computations. Springer-Verlag, 1989.

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1913-, Fields William S., ed. Primary brain tumors: A review of histologic classification. Springer-Verlag, 1989.

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Binary Quadratic Forms. Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-46368-9.

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Buell, Duncan A. Binary quadratic forms. 1989.

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Binary Quadratic Forms. Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1989.

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Buchmann, Johannes, and Ulrich Vollmer. Binary Quadratic Forms: An Algorithmic Approach. Springer, 2010.

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Buell, Duncan A., and Thomas Anderson. Binary Quadratic Forms: Classical Theory and Modern Computations. Springer, 2011.

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Buell, Duncan A. Binary Quadratic Forms: Classical Theory and Modern Computations. Springer London, Limited, 2012.

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Book chapters on the topic "Binary Quadratic"

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Buell, Duncan A. "Quadratic Number Fields." In Binary Quadratic Forms. Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-4542-1_6.

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Kritikos, Nikolaos. "Binary Quadratic Forms." In Universitext. Springer New York, 1986. http://dx.doi.org/10.1007/978-1-4612-4888-0_6.

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Buell, Duncan A. "Elementary Concepts." In Binary Quadratic Forms. Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-4542-1_1.

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Buell, Duncan A. "Factoring with Binary Quadratic Forms." In Binary Quadratic Forms. Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-4542-1_10.

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Buell, Duncan A. "Reduction of Positive Definite Forms." In Binary Quadratic Forms. Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-4542-1_2.

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Buell, Duncan A. "Indefinite Forms." In Binary Quadratic Forms. Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-4542-1_3.

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Buell, Duncan A. "The Class Group." In Binary Quadratic Forms. Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-4542-1_4.

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Buell, Duncan A. "Miscellaneous Facts." In Binary Quadratic Forms. Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-4542-1_5.

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Buell, Duncan A. "Composition of Forms." In Binary Quadratic Forms. Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-4542-1_7.

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Buell, Duncan A. "Miscellaneous Facts II." In Binary Quadratic Forms. Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-4542-1_8.

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Conference papers on the topic "Binary Quadratic"

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Torta, Pietro, Luca Leone, Rebecca Casati, and Enrico Prati. "Neural Quantum Annealing for Real-World Quadratic Unconstrained Binary Optimization." In 2024 IEEE International Conference on Quantum Computing and Engineering (QCE). IEEE, 2024. https://doi.org/10.1109/qce60285.2024.10382.

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Talwar, Uday, Afrooz Jalilzadeh, and Meredith Kupinski. "Semi-Supervised Adaptation of a Channelized Quadratic Observer." In Latin America Optics and Photonics Conference. Optica Publishing Group, 2024. https://doi.org/10.1364/laop.2024.tu4a.22.

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Binary classification of high-dimensional, low-sample-size datasets is feasible with channelized quadratic observers. Channel solutions can be optimized iteratively. A semi-supervised extension is developed for unlabeled data with smaller quantities of labeled data.
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Xie, Moyang, Yuan Zhang, Sheng Zhong, and Qun Li. "Privacy-Preserving Quantum Annealing for Quadratic Unconstrained Binary Optimization (QUBO) Problems." In 2024 IEEE International Conference on Quantum Computing and Engineering (QCE). IEEE, 2024. https://doi.org/10.1109/qce60285.2024.00160.

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Zhang, Yanyu, Yanhao Li, Hengji Li, Feixiang Jiao, Zhiming Zhang, and Xibeng Zhang. "Accelerating Quadratic Unconstrained Binary Optimization Solution for Logistics Distribution Routing Problem with Graph Attention Network." In 2024 8th CAA International Conference on Vehicular Control and Intelligence (CVCI). IEEE, 2024. https://doi.org/10.1109/cvci63518.2024.10830095.

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Iftakher, Ashfaq, and M. M. Faruque Hasan. "Exploring Quantum Optimization for Computer-aided Molecular and Process Design." In Foundations of Computer-Aided Process Design. PSE Press, 2024. http://dx.doi.org/10.69997/sct.143809.

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Computer-aided Molecular and Process Design (CAMPD) is an equation-oriented multi-scale decision making framework for designing both materials (molecules) and processes for separation, reaction, and reactive separation whenever material choice significantly impacts process performance. The inherent nonlinearity and nonconvexity in CAMPD optimization models, introduced through the property and process models, pose challenges to state-of-the-art solvers. Recently, quantum computing (QC) has shown promise for solving complex optimization problems, especially those involving discrete decisions. Th
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Zanotti, Roberto, and Francesco Negro. "An Innovative Binary Quadratic Programming Approach for the Accurate Identification of Discharge Timings of Motor Units From High-Density Surface EMG Signals." In 2024 IEEE International Conference on Metrology for eXtended Reality, Artificial Intelligence and Neural Engineering (MetroXRAINE). IEEE, 2024. https://doi.org/10.1109/metroxraine62247.2024.10795886.

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De Souza, Murilo Zangari, and Aurora Trinidad Ramirez Pozo. "Multiobjective Binary ACO for Unconstrained Binary Quadratic Programming." In 2015 Brazilian Conference on Intelligent Systems (BRACIS). IEEE, 2015. http://dx.doi.org/10.1109/bracis.2015.15.

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YAGI, KENT. "BINARY INSPIRAL IN QUADRATIC GRAVITY." In Proceedings of the MG13 Meeting on General Relativity. WORLD SCIENTIFIC, 2015. http://dx.doi.org/10.1142/9789814623995_0119.

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Lin, Geng. "Solving unconstrained binary quadratic programming using binary particle swarm optimization." In 2013 International Conference of Information Technology and Industrial Engineering. WIT Press, 2013. http://dx.doi.org/10.2495/itie130311.

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Rizomiliotis, P., N. Kolokotronis, and N. Kalouptsidis. "On the quadratic span of binary sequences." In IEEE International Symposium on Information Theory, 2003. Proceedings. IEEE, 2003. http://dx.doi.org/10.1109/isit.2003.1228393.

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Reports on the topic "Binary Quadratic"

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Coffrin, Carleton James, Harsha Nagarajan, and Russell Whitford Bent. Challenges and Successes of Solving Binary Quadratic Programming Benchmarks on the DW2X QPU. Office of Scientific and Technical Information (OSTI), 2016. http://dx.doi.org/10.2172/1330084.

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