The exponential-logarithmic equivalence classes of surreal numbers

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KUHLMANN, Salma, Mickael MATUSINSKI, 2012. The exponential-logarithmic equivalence classes of surreal numbers

@unpublished{Kuhlmann2012expon-21261, title={The exponential-logarithmic equivalence classes of surreal numbers}, year={2012}, author={Kuhlmann, Salma and Matusinski, Mickael} }

<rdf:RDF xmlns:dcterms="" xmlns:dc="" xmlns:rdf="" xmlns:bibo="" xmlns:dspace="" xmlns:foaf="" xmlns:void="" xmlns:xsd="" > <rdf:Description rdf:about=""> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dcterms:isPartOf rdf:resource=""/> <dc:creator>Kuhlmann, Salma</dc:creator> <dcterms:hasPart rdf:resource=""/> <dc:contributor>Kuhlmann, Salma</dc:contributor> <dc:contributor>Matusinski, Mickael</dc:contributor> <dspace:hasBitstream rdf:resource=""/> <dc:language>eng</dc:language> <dcterms:available rdf:datatype="">2013-01-31T10:39:18Z</dcterms:available> <dcterms:abstract xml:lang="eng">In his monograph, H. Gonshor showed that Conway's real closed field of surreal numbers carries an exponential and logarithmic map. Subsequently, L. van den Dries and P. Ehrlich showed that it is a model of the elementary theory of the field of real numbers with the exponential function. In this paper, we give a complete description of the exponential equivalence classes in the spirit of the classical Archimedean and multiplicative equivalence classes. This description is made in terms of a recursive formula as well as a sign sequence formula for the family of representatives of minimal length of these exponential classes.</dcterms:abstract> <dcterms:rights rdf:resource=""/> <dcterms:title>The exponential-logarithmic equivalence classes of surreal numbers</dcterms:title> <dc:date rdf:datatype="">2013-01-31T10:39:18Z</dc:date> <dcterms:issued>2012</dcterms:issued> <dc:creator>Matusinski, Mickael</dc:creator> <dc:rights>terms-of-use</dc:rights> <bibo:uri rdf:resource=""/> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dspace:isPartOfCollection rdf:resource=""/> </rdf:Description> </rdf:RDF>

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