{"?xml":{"@version":"1.0"},"edm:RDF":{"@xmlns:dc":"http://purl.org/dc/elements/1.1/","@xmlns:edm":"http://www.europeana.eu/schemas/edm/","@xmlns:wgs84_pos":"http://www.w3.org/2003/01/geo/wgs84_pos","@xmlns:foaf":"http://xmlns.com/foaf/0.1/","@xmlns:rdaGr2":"http://rdvocab.info/ElementsGr2","@xmlns:oai":"http://www.openarchives.org/OAI/2.0/","@xmlns:owl":"http://www.w3.org/2002/07/owl#","@xmlns:rdf":"http://www.w3.org/1999/02/22-rdf-syntax-ns#","@xmlns:ore":"http://www.openarchives.org/ore/terms/","@xmlns:skos":"http://www.w3.org/2004/02/skos/core#","@xmlns:dcterms":"http://purl.org/dc/terms/","edm:WebResource":[{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-MAND4T8M/ee2e94fb-fa54-4c82-b959-4bdefe55231d/PDF","dcterms:extent":"5591 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-MAND4T8M/72e8a87a-77fd-4f36-ad27-5c518f27a91f/TEXT","dcterms:extent":"17 KB"}],"edm:TimeSpan":{"@rdf:about":"2008-2026","edm:begin":{"@xml:lang":"en","#text":"2008"},"edm:end":{"@xml:lang":"en","#text":"2026"}},"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:doc-MAND4T8M","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-FNN1A9OB"},{"@xml:lang":"sl","#text":"Obzornik za matematiko in fiziko"}],"dcterms:issued":"2015","dc:creator":["Lakner, Mitja","Petek, Peter","Škapin-Rugelj, Marjeta"],"dc:format":[{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"letnik:62"},{"@xml:lang":"sl","#text":"str. 41-52"}],"dc:identifier":["ISSN:0473-7466","COBISSID:17352025","URN:URN:NBN:SI:doc-MAND4T8M"],"dc:language":"sl","dc:publisher":{"@xml:lang":"sl","#text":"Društvo matematikov, fizikov in astronomov Slovenije"},"dc:subject":[{"@xml:lang":"sl","#text":"hiperbolična matrika"},{"@xml:lang":"sl","#text":"hiperbolični avtomorfizmi"},{"@xml:lang":"en","#text":"hyperbolic automorphism"},{"@xml:lang":"en","#text":"hyperbolic matrix"},{"@xml:lang":"en","#text":"mapping on the torus"},{"@xml:lang":"sl","#text":"preslikava na torusu"},{"@xml:lang":"sl","#text":"raster"},{"@xml:lang":"en","#text":"raster net"},{"@rdf:resource":"http://www.wikidata.org/entity/Q1110021"}],"dcterms:temporal":{"@rdf:resource":"2008-2026"},"dc:title":{"@xml:lang":"sl","#text":"Vrnitev Arnoldove mačke|"},"dc:description":[{"@xml:lang":"sl","#text":"A hyperbolic matrix yields a mapping on the torus. However we can, as V. I. Arnold V. I. Arnold and A. Avez, Ergodic problems in Classical Mechanics, Benjamin, New York, 1968 did, consider the picture of the cat on ?$N \\times N$? raster. After a certain number of iterations the cat returns. We are interested in the dependence of the period of return on the density of the raster net. The property of return can be used for coding and covering up information"},{"@xml:lang":"sl","#text":"Hiperbolična matrika določa preslikavo na torusu, vendar jo lahko opazujemo tudi na ?$N \\times N$? rastru, kot je to napravil V. I. Arnold V. I. Arnold in A. Avez, Ergodic problems in Classical Mechanics, Benjamin, New York, 1968. Opazoval je sliko mačke, ki se je po določenem številu iteracij vrnila. Zanima nas povezava med gostoto rastra in periodo vrnitve. To lastnost lahko uporabimo tudi za šifriranje in prikrivanje informacij"}],"edm:type":"TEXT","dc:type":[{"@xml:lang":"sl","#text":"znanstveno časopisje"},{"@xml:lang":"en","#text":"journals"},{"@rdf:resource":"http://www.wikidata.org/entity/Q361785"}]},"ore:Aggregation":{"@rdf:about":"http://www.dlib.si/?URN=URN:NBN:SI:doc-MAND4T8M","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-MAND4T8M"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-MAND4T8M/ee2e94fb-fa54-4c82-b959-4bdefe55231d/PDF"},"edm:rights":{"@rdf:resource":"http://rightsstatements.org/vocab/InC/1.0/"},"edm:provider":"Slovenian National E-content Aggregator","edm:intermediateProvider":{"@xml:lang":"en","#text":"National and University Library of Slovenia"},"edm:dataProvider":{"@xml:lang":"sl","#text":"Društvo matematikov, fizikov in astronomov"},"edm:object":{"@rdf:resource":"http://www.dlib.si/streamdb/URN:NBN:SI:doc-MAND4T8M/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-MAND4T8M"}}}}