{"?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-DGYZ658N/-fdae06e5c-32-356218948104e-546d4094/PDF","dcterms:extent":"2940 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-DGYZ658N/d71d8163-458b-4dab-aa52-db5d7f76c935/TEXT","dcterms:extent":"67 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-DGYZ658N","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-OE00UKYR"},{"@xml:lang":"sl","#text":"Matrika"}],"dcterms:issued":"2023","dc:creator":"Simčič, Luka","dc:format":[{"@xml:lang":"sl","#text":"letnik:10"},{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"28 str."}],"dc:identifier":["COBISSID_HOST:166308867","ISSN:2385-8567","URN:URN:NBN:SI:doc-DGYZ658N"],"dc:language":"sl","dc:publisher":{"@xml:lang":"sl","#text":"Založba Fakultete za matematiko in fiziko Univerze v Ljubljani"},"dc:subject":[{"@xml:lang":"en","#text":"filled Julia sets"},{"@xml:lang":"sl","#text":"napolnjene Juliajeve množice"},{"@xml:lang":"en","#text":"regular functions"},{"@xml:lang":"sl","#text":"regularne funkcije"},{"@xml:lang":"en","#text":"representation formula"},{"@xml:lang":"sl","#text":"reprezentacijska formula"}],"dcterms:temporal":{"@rdf:resource":"2014-2024"},"dc:title":{"@xml:lang":"sl","#text":"Kvaternionska regularna iteracija|"},"dc:description":[{"@xml:lang":"sl","#text":"The main goal of the work is the description and visualization of filled Julia sets for some regular quaternion functions. A criterion is described for unboundedness of orbits and filled Julia sets of polynomials with coefficients from one slice ?$\\mathbb{C}_I$? are described. Their intersection with the plane ?$\\mathbb{C}_I$? coincides with the already known complex filled Julia set and the intersection with the other planes is thereby precisely determined. Code for computing with regular functions in Mathematica is also attached and described, as well as an effective algorithm for computing orbits of regular functions"},{"@xml:lang":"sl","#text":"Glavni cilj dela je opis in vizualizacija napolnjenih Juliajevih množic za nekatere regularne kvaternionske funkcije. Izpeljan je kriterij za neomejenost orbit ter opisane so napolnjene Juliajeve množice za polinome z vsemi koeficienti iz ene rezine ?$\\mathbb{C}_I$? . Njihov presek z ravnino ?$\\mathbb{C}_I$? sovpada z že znano kompleksno napolnjeno Juliajevo množico, presek z ostalimi ravninami pa je s tem natanko določen. Priložena in opisana sta tudi koda za računanje z regularnimi funkcijami v Mathematici in efektiven algoritem za računanje orbit regularnih funkcij"}],"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-DGYZ658N","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-DGYZ658N"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-DGYZ658N/-fdae06e5c-32-356218948104e-546d4094/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-DGYZ658N/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-DGYZ658N"}}}}