{"?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-VOEJDI7R/53dd-42a7c0b14-9c6c6bc4782067--ad6a4/PDF","dcterms:extent":"588 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-VOEJDI7R/066544ac-774a-4c3c-b626-2d7a8cd19b0d/TEXT","dcterms:extent":"23 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-VOEJDI7R","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-OE00UKYR"},{"@xml:lang":"sl","#text":"Matrika"}],"dcterms:issued":"2023","dc:creator":"Ravnikar, Christian","dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:10"},{"@xml:lang":"sl","#text":"8 str."}],"dc:identifier":["COBISSID_HOST:150987011","ISSN:2385-8567","URN:URN:NBN:SI:doc-VOEJDI7R"],"dc:language":"sl","dc:publisher":{"@xml:lang":"sl","#text":"Založba Fakultete za matematiko in fiziko Univerze v Ljubljani"},"dc:subject":[{"@xml:lang":"en","#text":"complex coefficients"},{"@xml:lang":"sl","#text":"kompleksni koeficienti"},{"@xml:lang":"sl","#text":"ničle"},{"@xml:lang":"sl","#text":"polinomi"},{"@xml:lang":"en","#text":"polynomials"},{"@xml:lang":"en","#text":"roots of polynomials"}],"dcterms:temporal":{"@rdf:resource":"2014-2024"},"dc:title":{"@xml:lang":"sl","#text":"Ničle polinomov so zvezno odvisne od koeficientov polinomov|"},"dc:description":[{"@xml:lang":"sl","#text":"Every polynomial of degree ?$n$? with complex coefficients has exactly ?$n$? roots (counting their multiplicity). Intuitively, it seems to be the case that if the coefficients of a polynomial are slightly altered, their roots will also differ by just a little. It is not entirely obvious, however, how one would prove that, since there is no explicit formula for roots of polynomials of degree four or more. It is also Not obvious, how one would define nearness on a set of roots, which would consider that by changing the coefficients, their multiplicity may also change"},{"@xml:lang":"sl","#text":"Vsak polinom stopnje ?$n$? s kompleksnimi koeficienti ima (ob upoštevanju večkratnosti) natanko ?$n$? ničel. Intuitivno se zdi, da se ob majhni spremembi koeficientov polinoma tudi njegove ničle le malo spremenijo. Ni pa povsem očitno, kako bi to dokazali, saj za polinome stopnje večje od štiri nimamo eksplicitne formule za ničle. Prav tako ni očitno, kako definirati pojem bližine na množici ničel, ki bo upošteval, da se ob spreminjanju koeficientov lahko spremeni tudi večkratnost ničel"}],"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-VOEJDI7R","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-VOEJDI7R"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-VOEJDI7R/53dd-42a7c0b14-9c6c6bc4782067--ad6a4/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-VOEJDI7R/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-VOEJDI7R"}}}}