<> <http://www.w3.org/2000/01/rdf-schema#comment> "The repository administrator has not yet configured an RDF license."^^<http://www.w3.org/2001/XMLSchema#string> . <> <http://xmlns.com/foaf/0.1/primaryTopic> <https://discovery.ucl.ac.uk/id/eprint/10185490> . <https://discovery.ucl.ac.uk/id/eprint/10185490> <http://www.w3.org/1999/02/22-rdf-syntax-ns#type> <http://purl.org/ontology/bibo/AcademicArticle> . <https://discovery.ucl.ac.uk/id/eprint/10185490> <http://www.w3.org/1999/02/22-rdf-syntax-ns#type> <http://purl.org/ontology/bibo/Article> . <https://discovery.ucl.ac.uk/id/eprint/10185490> <http://purl.org/dc/terms/title> "Regularity and Semialgebraicity of Solutions of Linear EquationsSystems"^^<http://www.w3.org/2001/XMLSchema#string> . <https://discovery.ucl.ac.uk/id/eprint/10185490> <http://purl.org/ontology/bibo/abstract> "This work is concerned with the study of a necessary and sufficient condition for the existence of solutions with a given regularity to a system of linear equations with coefficients of given regularity. First, to properly contextualize the subject matter and to introduce crucial analytical solving tools, we go through results by C.Fefferman- J.Kollár and by C.Fefferman - G.K.Luli.\r\nThen we prove our result to determine a necessary and sufficient condition for the existence of continuous (C0) semialgebraic solutions in case of a system of linear equations with continuous semialgebraic coefficients."^^<http://www.w3.org/2001/XMLSchema#string> . <https://discovery.ucl.ac.uk/id/eprint/10185490> <http://purl.org/dc/terms/date> "2024-01-09" . <https://discovery.ucl.ac.uk/id/document/1684322> <http://www.w3.org/1999/02/22-rdf-syntax-ns#type> <http://purl.org/ontology/bibo/Document> . <https://discovery.ucl.ac.uk/id/eprint/10185490> <http://purl.org/ontology/bibo/volume> "14" . <https://discovery.ucl.ac.uk/id/eprint/10185490> <http://purl.org/ontology/bibo/issue> "2" . <https://discovery.ucl.ac.uk/id/org/ext-e89cad3e98547899765bb0ffcded55a4> <http://www.w3.org/1999/02/22-rdf-syntax-ns#type> 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<http://xmlns.com/foaf/0.1/givenName> "Marcello"^^<http://www.w3.org/2001/XMLSchema#string> . <https://discovery.ucl.ac.uk/id/person/ext-308e28f3a431e3e758a9b7ff7373b342> <http://xmlns.com/foaf/0.1/familyName> "Malagutti"^^<http://www.w3.org/2001/XMLSchema#string> . <https://discovery.ucl.ac.uk/id/person/ext-308e28f3a431e3e758a9b7ff7373b342> <http://xmlns.com/foaf/0.1/name> "Marcello Malagutti"^^<http://www.w3.org/2001/XMLSchema#string> . <https://discovery.ucl.ac.uk/id/eprint/10185490> <http://www.w3.org/1999/02/22-rdf-syntax-ns#type> <http://eprints.org/ontology/EPrint> . <https://discovery.ucl.ac.uk/id/eprint/10185490> <http://www.w3.org/1999/02/22-rdf-syntax-ns#type> <http://eprints.org/ontology/ArticleEPrint> . <https://discovery.ucl.ac.uk/id/eprint/10185490> <http://purl.org/dc/terms/isPartOf> <https://discovery.ucl.ac.uk/id/repository> . <https://discovery.ucl.ac.uk/id/eprint/10185490> <http://eprints.org/ontology/hasDocument> <https://discovery.ucl.ac.uk/id/document/1684322> . 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