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Titlebook: Wireless Mobile Communication and Healthcare; 6th International Co Paolo Perego,Giuseppe Andreoni,Giovanna Rizzo Conference proceedings 201

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pose of this chapter is to provide the reader with sufficient understanding of the theory of Gröbner bases as quickly as possible with the assumption of only a minimum of background knowledge. In Sect. 1.1, the story starts with Dickson’s Lemma, which is a classical result in combinatorics. The Gröb
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Maximilian Götzinger,Nima Taherinejad,Amir M. Rahmani,Pasi Liljeberg,Axel Jantsch,Hannu TenhunenHøholdt et al. in Handbook of coding theory, vols. I, II, North-Holland, Amsterdam, pp. 871–961, .; Geil in Algebraic geometry codes from order domains, this volume, pp. 121–141, .) mainly based on the Gröbner basis theory (Buchberger in Ein Algorithmus zum Auffinden der Basiselemente des Restklasse
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Sofia Scataglini,Marcello Fusca,Giuseppe Andreoni,Mauro Portaents. The holomorphic solutions to . around a generic point in C. form a vector space. This space has finite dimension rank(.) if . is holonomic. In this chapter we are interested in convergent series solutions to . of the form . where the .. are complex numbers and the .. are nonnegative integers.
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