{"?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-CUZVPNDF/4da787831ea376d63cdba8fc--88394-b20-/PDF","dcterms:extent":"1571 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-CUZVPNDF/0bca6734-cba3-462f-8d73-ed37a898d818/TEXT","dcterms:extent":"38 KB"}],"edm:TimeSpan":{"@rdf:about":"2014-2024","edm:begin":{"@xml:lang":"en","#text":"2014"},"edm:end":{"@xml:lang":"en","#text":"2024"}},"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:doc-CUZVPNDF","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-OE00UKYR"},{"@xml:lang":"sl","#text":"Matrika"}],"dcterms:issued":"2015","dc:creator":"Iršič Chenoweth, Vesna","dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"15 str."},{"@xml:lang":"sl","#text":"letnik:2"}],"dc:identifier":["ISSN:2385-8567","COBISSID_HOST:2989156","URN:URN:NBN:SI:doc-CUZVPNDF"],"dc:language":"sl","dc:publisher":{"@xml:lang":"sl","#text":"Založba Fakultete za matematiko in fiziko Univerze v Ljubljani"},"dc:subject":[{"@xml:lang":"en","#text":"Cantor set"},{"@xml:lang":"sl","#text":"Cantorjeva množica"},{"@xml:lang":"en","#text":"dimensions"},{"@xml:lang":"sl","#text":"dimenzije"},{"@xml:lang":"en","#text":"fractals"},{"@xml:lang":"sl","#text":"fraktali"},{"@xml:lang":"en","#text":"Koch curve"},{"@xml:lang":"sl","#text":"Kochova krivulja"},{"@xml:lang":"sl","#text":"matematika"},{"@xml:lang":"en","#text":"mathematics"},{"@xml:lang":"en","#text":"Sierpinski triangle"},{"@xml:lang":"sl","#text":"trikotnik Sierpinskega"}],"dcterms:temporal":{"@rdf:resource":"2014-2024"},"dc:title":{"@xml:lang":"sl","#text":"Fraktalna dimenzija|"},"dc:description":[{"@xml:lang":"sl","#text":"The article presents the historical development of the fractal theory and some examples of the fractals, such as Cantor set, Koch curve and Sierpinski triangle. Furthermore the article explains the definitions of topological (small inductive), self-similarity, box counting and fractal or Hausdorff dimension. There are also some examples of calculating those dimensions for different fractals. Some connections between those dimensions are shown in the end"},{"@xml:lang":"sl","#text":"V članku je predstavljen zgodovinski razvoj teorije fraktalov in natančen opis primerov, kot so Cantorjeva množica, Kochova krivulja in trikotnik Sierpinskega. Sledi predstavitev topološke (male induktivne), samopodobnostne, škatlaste in fraktalne ali Hausdorffove dimenzije. Pri vsaki je navedenih tudi nekaj primerov uporabe na konkretnih fraktalih. Na koncu so razložene tudi povezave med različnimi dimenzijami"}],"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-CUZVPNDF","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-CUZVPNDF"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-CUZVPNDF/4da787831ea376d63cdba8fc--88394-b20-/PDF"},"edm:rights":{"@rdf:resource":"http://rightsstatements.org/vocab/InC/1.0/"},"edm:provider":"Slovenian National E-content Aggregator","edm:dataProvider":{"@xml:lang":"en","#text":"National and University Library of Slovenia"},"edm:object":{"@rdf:resource":"http://www.dlib.si/streamdb/URN:NBN:SI:doc-CUZVPNDF/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-CUZVPNDF"}}}}