Academic literature on the topic 'Algebraic'

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Journal articles on the topic "Algebraic"

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Arutyunov, A. A. "ON DERIVATIONS ASSOCIATED WITH DIFFERENT ALGEBRAIC STRUCTURES IN GROUP ALGEBRAS." Eurasian Mathematical Journal 9, no. 3 (2018): 8–13. http://dx.doi.org/10.32523/2077-9879-2018-9-3-8-13.

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Nongmanee, Anak, and Sorasak Leeratanavalee. "Algebraic connections between Menger algebras and Menger hyperalgebras via regularity." Algebra and Discrete Mathematics 36, no. 1 (2023): 61–73. http://dx.doi.org/10.12958/adm2135.

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Menger hyperalgebras of rank n, where n is a fixed integer, can be regarded as a natural generalization of arbitrary semihypergroups. Based on this knowledge, an interesting question arises: what a generalization of regular semihypergroups is. In the article, we establish the notion of v-regular Menger hyperalgebras of rank n, which can be considered as an extension of regular semihypergroups. Furthermore, we study regularity of Menger hyperalgebras of rank n which are induced by some subsets of Menger algebras of rank n. In particular, we obtain sufficient conditions so that the Menger hypera
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Ligęza, J., and M. Tvrdý. "On systems of linear algebraic equations in the Colombeau algebra." Mathematica Bohemica 124, no. 1 (1999): 1–14. http://dx.doi.org/10.21136/mb.1999.125977.

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Clerbout, M., and Y. Roos. "Semicommutations and algebraic algebraic." Theoretical Computer Science 103, no. 1 (1992): 39–49. http://dx.doi.org/10.1016/0304-3975(92)90086-u.

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Nesterenko, Yu V. "ON ALGEBRAIC INDEPENDENCE OF ALGEBRAIC POWERS OF ALGEBRAIC NUMBERS." Mathematics of the USSR-Sbornik 51, no. 2 (1985): 429–54. http://dx.doi.org/10.1070/sm1985v051n02abeh002868.

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Armitage, J. V. "ALGEBRAIC NUMBERS AND ALGEBRAIC FUNCTIONS." Bulletin of the London Mathematical Society 27, no. 3 (1995): 296–98. http://dx.doi.org/10.1112/blms/27.3.296.

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Hone, A. N. W., Orlando Ragnisco, and Federico Zullo. "Algebraic entropy for algebraic maps." Journal of Physics A: Mathematical and Theoretical 49, no. 2 (2015): 02LT01. http://dx.doi.org/10.1088/1751-8113/49/2/02lt01.

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VIALLET, C. M. "ALGEBRAIC DYNAMICS AND ALGEBRAIC ENTROPY." International Journal of Geometric Methods in Modern Physics 05, no. 08 (2008): 1373–91. http://dx.doi.org/10.1142/s0219887808003375.

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We give the definition of algebraic entropy, which is a global index of complexity for dynamical systems with a rational evolution. We explain its geometrical meaning, and different methods, heuristic or exact to calculate this entropy. This quantity is a very good integrability detector. It also has remarkable properties, which make it an interesting object of study by itself. It is in particular conjectured to be the logarithm of algebraic integer, with a limited range of values, still to be explored.
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Giusti, Neura Maria De Rossi, and Claudia Lisete Oliveira Groenwald. "Matemática na Comunidade: um contexto educativo para a aprendizagem social e desenvolvimento do pensamento algébricoMathematics in the Community: an educational context to the social learning and development of algebraic thinking." Educação Matemática Pesquisa : Revista do Programa de Estudos Pós-Graduados em Educação Matemática 23, no. 1 (2021): 561–90. http://dx.doi.org/10.23925/1983-3156.2021v23i1p561-590.

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ResumoO artigo apresenta um recorte de uma pesquisa desenvolvida no município de Vacaria, no estado do Rio Grande do Sul, onde investigou-se a integração e divulgação de conhecimentos matemáticos na comunidade, a partir de um contexto educativo para a socialização de conceitos da educação básica, tendo em vista a aprendizagem social e, especificamente neste trabalho, o desenvolvimento do pensamento algébrico. Para a pesquisa qualitativa de investigação-ação foram utilizadas entrevistas dirigidas a comunidade participante e registros fotográficos com as resoluções das tarefas. As análises se ap
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Hemalatha, Bobbili. "Understanding Binary Operations and Algebraic Structures: A Foundational Approach to Abstract Algebra." International Journal of Science and Research (IJSR) 14, no. 1 (2025): 81–82. https://doi.org/10.21275/sr241231182642.

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Dissertations / Theses on the topic "Algebraic"

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Alghamdi, Mohamed A. M. A. "Some problems in algebraic topology : polynomial algebras over the Steenrod algebra." Thesis, University of Aberdeen, 1991. http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?pid=166808.

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We prove two theorems concerning the action of the Steenrod algebra in cohomology and homology. (i) Let A denote a finitely generated graded F<sub>p</sub> polynomial algebra over the Steenrod algebra whose generators have dimensions not divisible by p. The possible sets of dimensions of the generators for such A are known. It was conjectured that if we replaced the polynomial algebra A by a polynomial algebra truncated at some height greater than p over the Steenrod algebras, the sets of all possible dimensions would coincide with the former list. We show that the conjecture is false. For exam
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Miscione, Steven. "Loop algebras and algebraic geometry." Thesis, McGill University, 2008. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=116115.

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This thesis primarily discusses the results of two papers, [Hu] and [HaHu]. The first is an overview of algebraic-geometric techniques for integrable systems in which the AKS theorem is proven. Under certain conditions, this theorem asserts the commutatvity and (potential) non-triviality of the Hamiltonian flow of Ad*-invariant functions once they're restricted to subalgebras. This theorem is applied to the case of coadjoint orbits on loop algebras, identifying the flow with a spectral curve and a line bundle via the Lax equation. These results play an important role in the discussion of [HaHu
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Bucicovschi, Orest. "Simple Lie algebras, algebraic prolongations and contact structures." Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC campuses, 2008. http://wwwlib.umi.com/cr/ucsd/fullcit?p3307120.

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Thesis (Ph. D.)--University of California, San Diego, 2008.<br>Title from first page of PDF file (viewed July 1, 2008). Available via ProQuest Digital Dissertations. Vita. Includes bibliographical references (p. 82-85).
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Garrote, López Marina. "Algebraic and semi-algebraic phylogenetic reconstruction." Doctoral thesis, Universitat Politècnica de Catalunya, 2021. http://hdl.handle.net/10803/672316.

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Phylogenetics is the study of the evolutionary history and relationships among groups of biological entities (called taxa). The modeling of those evolutionary processes is done by phylogenetic trees whose nodes represent different taxa and whose branches correspond to the evolutionary processes between them. The leaves usually represent contemporary taxa and the root is their common ancestor. Nowadays, phylogenetic reconstruction aims to estimate the phylogenetic tree that best explains the evolutionary relationships of current taxa using solely information from their genome arranged in an ali
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Bowman, Christopher David. "Algebraic groups, diagram algebras, and their Schur-Weyl dualities." Thesis, University of Cambridge, 2012. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.610216.

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Ronagh, Pooya. "The inertia operator and Hall algebra of algebraic stacks." Thesis, University of British Columbia, 2016. http://hdl.handle.net/2429/58120.

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We view the inertia construction of algebraic stacks as an operator on the Grothendieck groups of various categories of algebraic stacks. We are interested in showing that the inertia operator is (locally finite and) diagonalizable over for instance the field of rational functions of the motivic class of the affine line q = [A¹]. This is proved for the Grothendieck group of Deligne-Mumford stacks and the category of quasi-split Artin stacks. Motivated by the quasi-splitness condition we then develop a theory of linear algebraic stacks and algebroids, and define a space of stack functions over
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Dias, Eduardo Manuel. "Algebraic covers." Thesis, University of Warwick, 2016. http://wrap.warwick.ac.uk/80934/.

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The main goal of this thesis is the description of the section ring of a surface R(S,L) = O∞n=0 H0(S,nL) where L is an ample base point free divisor defining a covering map φL: S -> P2 such that φ*OS = OP2 O Ω1P2 O Ω1P2 O Op2(-3). This is an abelian surface with a polarization of type (1,3) which was studied before in [BL94, Cas99, Cas12]. Given a covering map φ: X -> Y, following the methods introduced by Miranda for general d covers, in chapter 3 we will define a cover homomorphism that will induce a commutative and associative multiplication in φ*OX. Chapter 4 focuses in the OP2-modules Hom
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Milione, Piermarco. "Shimura curves and their p-adic uniformization = Corbes de Shimura i les seves uniformitzacions p-àdiques." Doctoral thesis, Universitat de Barcelona, 2016. http://hdl.handle.net/10803/402209.

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The main purpose of this dissertation is to introduce Shimura curves from the non-Archimedean point of view, paying special attention to those aspects that can make this theory amenable for computations. Despite the fact that the theory of p-adic uniformization of Shimura curves goes back to the 1960s with the results of Cerednik and Drinfeld, only in the last years explicit examples related to these uniformizations have been computed. The structure of this dissertation is as follows. In Chapter 1 we introduce Shimura curves starting from an indefinite quaternion algebra H over a totally re
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Sinn, Rainer [Verfasser]. "Algebraic Boundaries of Convex Semi-Algebraic Sets / Rainer Sinn." Konstanz : Bibliothek der Universität Konstanz, 2014. http://d-nb.info/1052418252/34.

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Sharif, H. "Algebraic functions, differentially algebraic power series and Hadamard operations." Thesis, University of Kent, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.235336.

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Books on the topic "Algebraic"

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Cohn, P. M. Algebraic Numbers and Algebraic Functions. Springer US, 1991. http://dx.doi.org/10.1007/978-1-4899-3444-4.

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Bosch, Siegfried. Algebraic Geometry and Commutative Algebra. Springer London, 2013.

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Bliss, Gilbert Ames. Algebraic functions. Dover Publications, 2004.

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Vostokov, Sergei, and Yuri Zarhin, eds. Algebraic Number Theory and Algebraic Geometry. American Mathematical Society, 2002. http://dx.doi.org/10.1090/conm/300.

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Popov, Vladimir L., ed. Algebraic Transformation Groups and Algebraic Varieties. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-05652-3.

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Goerss, P. G., and J. F. Jardine, eds. Algebraic K-Theory and Algebraic Topology. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-017-0695-7.

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Benedetti, R. Real algebraic and semi-algebraic sets. Hermann, 1990.

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Gregory, Goerss Paul, Jardine J. F. 1951-, and NATO Advanced Study Institute, eds. Algebraic K-theory and algebraic topology. Kluwer Academic, 1994.

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1950-, Shokurov Vyacheslav V., ed. Algebraic curves, algebraic manifolds, and schemes. Springer, 1998.

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A, Martsinkovsky, Todorov G, Auslander Maurice, and Maurice Auslander Memorial Conference (1995 : Brandeis University), eds. Representation theory and algebraic geometry. Cambridge University Press, 1997.

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Book chapters on the topic "Algebraic"

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Villoria, Alejandro, Henning Basold, and Alfons Laarman. "Enriching Diagrams with Algebraic Operations." In Lecture Notes in Computer Science. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-57228-9_7.

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AbstractIn this paper, we extend diagrammatic reasoning in monoidal categories with algebraic operations and equations. We achieve this by considering monoidal categories that are enriched in the category of Eilenberg-Moore algebras for a monad. Under the condition that this monad is monoidal and there is an adjunction between the free algebra functor and the underlying category functor, we construct an adjunction between symmetric monoidal categories and symmetric monoidal categories enriched over algebras for the monad. This allows us to devise an extension, and its semantics, of the ZX-calc
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Birkmann, Fabian, Henning Urbat, and Stefan Milius. "Monoidal Extended Stone Duality." In Lecture Notes in Computer Science. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-57228-9_8.

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AbstractExtensions of Stone-type dualities have a long history in algebraic logic and have also been instrumental for proving results in algebraic language theory. We show how to extend abstract categorical dualities via monoidal adjunctions, subsuming various incarnations of classical extended Stone and Priestley duality as a special case. Guided by these categorical foundations, we investigate residuation algebras, which are algebraic models of language derivatives, and show the subcategory of derivation algebras to be dually equivalent to the category of profinite ordered monoids, restricti
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Schmid, Todd, Tobias Kappé, and Alexandra Silva. "A Complete Inference System for Skip-free Guarded Kleene Algebra with Tests." In Programming Languages and Systems. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-30044-8_12.

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AbstractGuarded Kleene Algebra with Tests (GKAT) is a fragment of Kleene Algebra with Tests (KAT) that was recently introduced to reason efficiently about imperative programs. In contrast to KAT, GKAT does not have an algebraic axiomatization, but relies on an analogue of Salomaa’s axiomatization of Kleene Algebra. In this paper, we present an algebraic axiomatization and prove two completeness results for a large fragment of GKAT consisting of skip-free programs.
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Finkelberg, Michael, and Victor Ginzburg. "Cherednik Algebras for Algebraic Curves." In Representation Theory of Algebraic Groups and Quantum Groups. Birkhäuser Boston, 2010. http://dx.doi.org/10.1007/978-0-8176-4697-4_6.

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Crespo, Teresa, and Zbigniew Hajto. "Lie algebras and algebraic groups." In Graduate Studies in Mathematics. American Mathematical Society, 2011. http://dx.doi.org/10.1090/gsm/122/04.

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Fokkink, Wan. "Process Algebra: An Algebraic Theory of Concurrency." In Algebraic Informatics. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-03564-7_3.

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Kolmogorov, A. N., and A. P. Yushkevich. "Algebra and Algebraic Number Theory." In Mathematics of the 19th Century. Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8293-4_2.

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Bashmakova, I. G., and A. N. Rudakov. "Algebra and Algebraic Number Theory." In Mathematics of the 19th Century. Birkhäuser Basel, 1992. http://dx.doi.org/10.1007/978-3-0348-5112-1_2.

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Bourbaki, Nicolas. "Commutative Algebra. Algebraic Number Theory." In Elements of the History of Mathematics. Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-61693-8_7.

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Plotkin, B. "Category Algebra and Algebraic Theories." In Universal Algebra, Algebraic Logic, and Databases. Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-0820-1_7.

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Conference papers on the topic "Algebraic"

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Hubert, Evelyne. "Algebraic invariants and their differential algebras." In the 2010 International Symposium. ACM Press, 2010. http://dx.doi.org/10.1145/1837934.1837936.

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Gautier, Thierry, Jean-Louis Roch, Ziad Sultan, and Bastien Vialla. "Parallel algebraic linear algebra dedicated interface." In PASCO '15: International Workshop on Parallel Symbolic Computation. ACM, 2015. http://dx.doi.org/10.1145/2790282.2790286.

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Kumar, Harshat, Alejandro Parada-Mayorga, and Alejandro Ribeiro. "Algebraic Convolutional Filters on Lie Group Algebras." In ICASSP 2023 - 2023 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2023. http://dx.doi.org/10.1109/icassp49357.2023.10095164.

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Smith, Larry. "An algebraic introduction to the Steenrod algebra." In School and Conference in Algebraic Topology. Mathematical Sciences Publishers, 2007. http://dx.doi.org/10.2140/gtm.2007.11.327.

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Bijev, G. "Semigroups and computer algebra in algebraic structures." In APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE '12): Proceedings of the 38th International Conference Applications of Mathematics in Engineering and Economics. AIP, 2012. http://dx.doi.org/10.1063/1.4766808.

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Kozhukhov, Igor Borisovich, and Ksenia Anatolievna Kolesnikova. "Some conditions of finiteness on polygons over semigroups." In Academician O.B. Lupanov 14th International Scientific Seminar "Discrete Mathematics and Its Applications". Keldysh Institute of Applied Mathematics, 2022. http://dx.doi.org/10.20948/dms-2022-68.

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A polygon over a semigroup is an algebraic model machine. A finiteness condition in algebra is any condition which is satisfied by all finite algebras. The following finiteness conditions in acts over semigroups: Artinianity, Noetherian, Hopfian, Kohopfian, Cantorian, Cocantorian, the relationship between them is discussed. In addition, issues are discussed preserving or not preserving these properties with respect to the take operation direct product and coproduct.
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Kitahara, Daichi, and Isao Yamada. "Algebraic phase unwrapping with self-reciprocal polynomial algebra." In 2017 International Conference on Sampling Theory and Applications (SampTA). IEEE, 2017. http://dx.doi.org/10.1109/sampta.2017.8024443.

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Nubatonis, Ofirenty Elyada, Dadang Juandi, and Endang Cahya Mulyaning A. "Algebra in The Digital Age: Empowering Algebraic Thinking." In ICEEL 2024: 2024 8th International Conference on Education and E-Learning. ACM, 2024. https://doi.org/10.1145/3719487.3719512.

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Ehrmann, S., S. Gries, and M. A. Schweitzer. "Transition Of Algebraic Multiscale To Algebraic Multigrid." In ECMOR XVI - 16th European Conference on the Mathematics of Oil Recovery. EAGE Publications BV, 2018. http://dx.doi.org/10.3997/2214-4609.201802124.

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Sullivant, Seth. "Algebraic statistics." In the 37th International Symposium. ACM Press, 2012. http://dx.doi.org/10.1145/2442829.2442835.

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Reports on the topic "Algebraic"

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Feikes, David, William Walker, Natalie McGathey, and Bir Kafle. Algebra Readiness and Algebraic Structure as Foundational Ideas for Algebraic Learning. Purdue University, 2022. http://dx.doi.org/10.5703/1288284317454.

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Hoffmann, Christoph M. Algebraic Curves. Defense Technical Information Center, 1987. http://dx.doi.org/10.21236/ada231940.

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Gear, C. W. Differential algebraic equations, indices, and integral algebraic equations. Office of Scientific and Technical Information (OSTI), 1989. http://dx.doi.org/10.2172/6307619.

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McGuire, Dennis W. Lattice-Algebraic Morphology. Defense Technical Information Center, 1998. http://dx.doi.org/10.21236/ada353568.

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IOWA STATE UNIV AMES DEPT OF MATHEMATICS. Applications of Algebraic Logic and Universal Algebra to Computer Science. Defense Technical Information Center, 1989. http://dx.doi.org/10.21236/ada210556.

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Moses, Joel. Research on Algebraic Manipulation. Defense Technical Information Center, 1987. http://dx.doi.org/10.21236/ada190149.

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Shashua, Amnon. Algebraic Functions for Recognition. Defense Technical Information Center, 1994. http://dx.doi.org/10.21236/ada276803.

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Bashelor, Andrew Clark. Enumerative Algebraic Geometry: Counting Conics. Defense Technical Information Center, 2005. http://dx.doi.org/10.21236/ada437184.

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Bank, R., S. Lu, C. Tong, and P. Vassilevski. Scalable Parallel Algebraic Multigrid Solvers. Office of Scientific and Technical Information (OSTI), 2005. http://dx.doi.org/10.2172/15015127.

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Baker, A., R. Falgout, H. Gahvari, et al. Preparing Algebraic Multigrid for Exascale. Office of Scientific and Technical Information (OSTI), 2012. http://dx.doi.org/10.2172/1090013.

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