{"?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-ZFAV2JM4/4718895d-b056-4e9f-be54-912ab2b8a721/PDF","dcterms:extent":"245 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-ZFAV2JM4/a221103e-8a09-476d-918d-5e522d50e07a/TEXT","dcterms:extent":"23 KB"}],"edm:TimeSpan":{"@rdf:about":"2008-2025","edm:begin":{"@xml:lang":"en","#text":"2008"},"edm:end":{"@xml:lang":"en","#text":"2025"}},"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:doc-ZFAV2JM4","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2020","dc:creator":"Panina, Gaiane","dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:18"},{"@xml:lang":"sl","#text":"str. 137-148"}],"dc:identifier":["ISSN:1855-3966","COBISSID_HOST:39640323","URN:URN:NBN:SI:doc-ZFAV2JM4"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Univerza na Primorskem, Fakulteta za matematiko, naravoslovje in informacijske tehnologije"},"dc:subject":[{"@xml:lang":"en","#text":"equilibrium stress"},{"@xml:lang":"en","#text":"Grassmanian stratification"},{"@xml:lang":"sl","#text":"grassmansko razslojevanje"},{"@xml:lang":"en","#text":"Maxwell-Cremona correspondence"},{"@xml:lang":"sl","#text":"Maxwell-Cremonova korespondenca"},{"@xml:lang":"en","#text":"oriented matroid"},{"@xml:lang":"sl","#text":"orientiran matroid"},{"@xml:lang":"sl","#text":"ravnotežna obremenitev"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"A universality theorem for stressable graphs in the plane|"},"dc:description":[{"@xml:lang":"sl","#text":"Universality theorems (in the sense of N. Mnëv) claim that the realization space of a combinatorial object (a point configuration, a hyperplane arrangement, a convex polytope, etc.) can be arbitrarily complicated. In the paper, we prove a universality theorem for a graph in the plane with a prescribed oriented matroid of stresses, that is the collection of signs of all possible equilibrium stresses of the graph. This research is motivated by the Grassmanian stratification (Gelfand, Goresky, MacPherson, Serganova) by thin Schubert cells, and by a recent series of papers on stratifications of configuration spaces of tensegrities (Doray, Karpenkov, Schepers, Servatius)"},{"@xml:lang":"sl","#text":"Univerzalnostni izreki (v smislu N. Mnëva) trdijo, da je predstavitveni prostor kombinatori čnega objekta (konfiguracije točk, razporeditve hiperravnin, konveksnega politopa, itd.) lahko poljubno zapleten. V tem članku dokažemo univerzalnostni izrek za graf v ravnini s predpisanim orientiranim matroidom obremenitev, definiranim kot zbirka predznakov vseh možnih ravnotežnih obremenitev grafa. To raziskavo sta spodbudila grassmansko razslojevanje (Gelfand, Goresky, MacPherson, Serganova) s tankimi Schubertovimi celicami ter nedavna serija člankov o razslojevanju konfiguracijskih prostorov tensegritet (Doray, Karpenkov, Schepers, Servatius)"}],"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-ZFAV2JM4","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-ZFAV2JM4"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-ZFAV2JM4/4718895d-b056-4e9f-be54-912ab2b8a721/PDF"},"edm:rights":{"@rdf:resource":"http://creativecommons.org/licenses/by/4.0/"},"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":"Univerza na Primorskem, Fakulteta za naravoslovje, matematiko in informacijske tehnologije"},"edm:object":{"@rdf:resource":"http://www.dlib.si/streamdb/URN:NBN:SI:doc-ZFAV2JM4/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-ZFAV2JM4"}}}}