{"id":"https://openalex.org/W3083389687","doi":"https://doi.org/10.36120/2587-3644.v8i2.70-75","title":"SISTEME CUBICE CU \u0218APTE DREPTE INVARIANTE DE-A LUNGUL UNEI DIREC\u021aII, CAND UNELE DREPTE SUNT COMPLEX CONJUGATE","display_name":"SISTEME CUBICE CU \u0218APTE DREPTE INVARIANTE DE-A LUNGUL UNEI DIREC\u021aII, CAND UNELE DREPTE SUNT COMPLEX CONJUGATE","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W3083389687","doi":"https://doi.org/10.36120/2587-3644.v8i2.70-75","mag":"3083389687"},"language":"ro","primary_location":{"id":"pmh:oai:doaj.org/article:a2389e3786e84778a14807fdd9bf2be5","doi":"https://doi.org/10.36120/2587-3644.v8i2.70-75","is_oa":false,"landing_page_url":"https://doaj.org/article/a2389e3786e84778a14807fdd9bf2be5","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Acta et Commentationes: \u015etiin\u0163e Exacte \u015fi ale Naturii, Vol 8, Iss 2 (2020)","raw_type":"article"},"parent_works":[],"lineage":["https://openalex.org/W3083389687"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":["doaj"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://ibn.idsi.md/vizualizare_articol/93340","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074811516","display_name":"Vadim Repe\u0219co","orcid":"https://orcid.org/0000-0001-8746-7559","observed_orcids":["https://orcid.org/0000-0001-8746-7559"]},"institutions":[{"id":"https://openalex.org/I4210140100","display_name":"Universitatea de Stat din Tiraspol","ror":"https://ror.org/04wd4rg36","country_code":"MD","type":"education","lineage":["https://openalex.org/I4210140100"]}],"countries":["MD"],"is_corresponding":true,"raw_author_name":"Vadim Repe\u015fco","raw_affiliation_strings":["Universitatea de Stat din Tiraspol"],"raw_orcid":"https://orcid.org/0000-0001-8746-7559","affiliations":[{"raw_affiliation_string":"Universitatea de Stat din Tiraspol","institution_ids":["https://openalex.org/I4210140100"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5074811516"],"corresponding_institution_ids":["https://openalex.org/I4210140100"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"8","issue":"2","first_page":"70","last_page":"75"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.0005000000237487257,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.0003000000142492354,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/invariant-lines","display_name":"invariant lines","score":0.7689999938011169},{"id":"https://openalex.org/keywords/canonical-form","display_name":"canonical form","score":0.7400000095367432},{"id":"https://openalex.org/keywords/line-at-infinity","display_name":"line at infinity","score":0.6809999942779541},{"id":"https://openalex.org/keywords/planar-differential-systems","display_name":"planar differential systems","score":0.6470000147819519}],"concepts":[{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.6524178981781006},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5930330753326416},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5792922973632812},{"id":"https://openalex.org/C197336794","wikidata":"https://www.wikidata.org/wiki/Q5161150","display_name":"Conjugate","level":2,"score":0.44971784949302673},{"id":"https://openalex.org/C156004811","wikidata":"https://www.wikidata.org/wiki/Q2228257","display_name":"Multiplicity (mathematics)","level":2,"score":0.44657838344573975},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.40724799036979675},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.354684054851532},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2844964265823364}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:doaj.org/article:a2389e3786e84778a14807fdd9bf2be5","doi":"https://doi.org/10.36120/2587-3644.v8i2.70-75","is_oa":false,"landing_page_url":"https://doaj.org/article/a2389e3786e84778a14807fdd9bf2be5","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Acta et Commentationes: \u015etiin\u0163e Exacte \u015fi ale Naturii, Vol 8, Iss 2 (2020)","raw_type":"article"},{"id":"pmh:oai:ibn.idsi.md:93340","doi":"https://doi.org/10.36120/2587-3644.v8i2.70-75","is_oa":true,"landing_page_url":"https://ibn.idsi.md/vizualizare_articol/93340","pdf_url":null,"source":null,"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Acta et commentationes (\u015etiin\u0163e Exacte \u0219i ale Naturii) 8 (2) 70-75","raw_type":"info:eu-repo/semantics/article"},{"id":"mag:3083389687","doi":"https://doi.org/10.36120/2587-3644.v8i2.70-75","is_oa":false,"landing_page_url":"https://revista.ust.md/index.php/acta_exacte/article/view/515","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:ibn.idsi.md:93340","doi":"https://doi.org/10.36120/2587-3644.v8i2.70-75","is_oa":true,"landing_page_url":"https://ibn.idsi.md/vizualizare_articol/93340","pdf_url":null,"source":null,"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Acta et commentationes (\u015etiin\u0163e Exacte \u0219i ale Naturii) 8 (2) 70-75","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W6891286979","https://openalex.org/W7066683338","https://openalex.org/W7056531286","https://openalex.org/W7001299414","https://openalex.org/W6989839988","https://openalex.org/W7027108796","https://openalex.org/W7220584952","https://openalex.org/W6966459520","https://openalex.org/W4396509651","https://openalex.org/W3183484017"],"abstract_inverted_index":{"Consider\u0103m":[0],"sistemul":[1],"diferen\u021bial":[2],"cubic":[3],"general":[4],"x":[5],"=":[6,10,22,26],"P(x,":[7],"y),":[8,12],"y":[9],"Q(x,":[11],"unde,":[13],"P,Q":[14,25],"\u2208":[15],"R[x,":[16],"y],":[17],"max":[18],"deg":[19],"P,":[20],"degQ":[21],"3,":[23],"GCD":[24],"1.":[27],"Dac\u0103":[28],"acest":[29],"sistem":[30],"are":[31],"suficiente":[32],"linii":[33],"drepte":[34,62],"invariante":[35,63],"considerate":[36],"\u00eempreun\u0103":[37],"cu":[38],"multiplicit\u0103\u021bile":[39],"lor,":[40],"atunci,":[41],"conform":[42],"[1],":[43],"putem":[44],"construi":[45],"integrala":[46],"prim\u0103":[47],"Darboux.":[48],"\u00cen":[49],"aceast\u0103":[50],"lucrare":[51],"ob\u021binem":[52],"8":[53],"forme":[54],"canonice":[55],"pentru":[56],"sistemele":[57],"diferen\u021biale":[58],"cubice":[59],"ce":[60],"posed\u0103":[61],"de-a":[64],"lungul":[65],"unei":[66],"direc\u021bii":[67],"de":[68,74],"multiplicitate":[69],"total\u0103":[70],"\u0219apte,":[71],"inclusiv":[72],"dreapta":[73],"la":[75],"infinit":[76],"\u0219i":[77],"cel":[78],"pu\u021bin":[79],"o":[80],"dreapt\u0103":[81],"invariant\u0103":[82],"planar\u0103":[83],"este":[84],"complex\u0103.":[85]},"counts_by_year":[],"updated_date":"2026-11-14T11:04:58.165337","created_date":"2020-09-11T00:00:00"}
