{"id":"https://openalex.org/W2906569985","doi":"https://doi.org/10.1007/978-3-030-10828-1_1","title":"Discrete Analog of the Jacobi Set for Vector Fields","display_name":"Discrete Analog of the Jacobi Set for Vector Fields","publication_year":2018,"publication_date":"2018-12-21","ids":{"openalex":"https://openalex.org/W2906569985","doi":"https://doi.org/10.1007/978-3-030-10828-1_1","mag":"2906569985"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-10828-1_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-10828-1_1","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2112.08053","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003614981","display_name":"A.N. Adilkhanov","orcid":"https://orcid.org/0000-0001-6995-3246"},"institutions":[{"id":"https://openalex.org/I60559429","display_name":"Nazarbayev University","ror":"https://ror.org/052bx8q98","country_code":"KZ","type":"education","lineage":["https://openalex.org/I60559429"]}],"countries":["KZ"],"is_corresponding":false,"raw_author_name":"A. N. Adilkhanov","raw_affiliation_strings":["National Laboratory \u201cAstana\u201d, Nazarbayev University, Kabanbay Batyr Ave. 53, Astana, 010000, Republic of Kazakhstan","National Laboratory Astana, Nazarbayev University, Astana, Republic of Kazakhstan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Laboratory \u201cAstana\u201d, Nazarbayev University, Kabanbay Batyr Ave. 53, Astana, 010000, Republic of Kazakhstan","institution_ids":["https://openalex.org/I60559429"]},{"raw_affiliation_string":"National Laboratory Astana, Nazarbayev University, Astana, Republic of Kazakhstan","institution_ids":["https://openalex.org/I60559429"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062979025","display_name":"A V Pavlov","orcid":"https://orcid.org/0009-0008-8810-8951"},"institutions":[{"id":"https://openalex.org/I131550537","display_name":"North-Eastern Federal University","ror":"https://ror.org/02p6aa271","country_code":"RU","type":"education","lineage":["https://openalex.org/I131550537"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"A. V. Pavlov","raw_affiliation_strings":["North-Eastern Federal University, 677000, Yakutsk, Russia","North-Eastern Federal University,Yakutsk,Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"North-Eastern Federal University, 677000, Yakutsk, Russia","institution_ids":["https://openalex.org/I131550537"]},{"raw_affiliation_string":"North-Eastern Federal University,Yakutsk,Russia","institution_ids":["https://openalex.org/I131550537"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077851690","display_name":"I. A. Ta\u012dmanov","orcid":"https://orcid.org/0000-0002-2779-183X"},"institutions":[{"id":"https://openalex.org/I188973947","display_name":"Novosibirsk State University","ror":"https://ror.org/04t2ss102","country_code":"RU","type":"education","lineage":["https://openalex.org/I188973947"]},{"id":"https://openalex.org/I4210096862","display_name":"Sobolev Institute of Mathematics","ror":"https://ror.org/00shc0s02","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I1313323035","https://openalex.org/I4210096862","https://openalex.org/I4210124601","https://openalex.org/I4210127387"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"I. A. Taimanov","raw_affiliation_strings":["Sobolev Institute of Mathematics, Novosibirsk State University, 630090, Novosibirsk, Russia","Sobolev Institute of Mathematics, Novosibirsk State University, Novosibirsk, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sobolev Institute of Mathematics, Novosibirsk State University, 630090, Novosibirsk, Russia","institution_ids":["https://openalex.org/I4210096862","https://openalex.org/I188973947"]},{"raw_affiliation_string":"Sobolev Institute of Mathematics, Novosibirsk State University, Novosibirsk, Russia","institution_ids":["https://openalex.org/I4210096862","https://openalex.org/I188973947"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.22894737,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"11"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.5091000199317932,"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"}},"topics":[{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.5091000199317932,"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"}},{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.07580000162124634,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.04690000042319298,"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/set","display_name":"Set (abstract data type)","score":0.6599181294441223},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.6106008291244507},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5861855745315552},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5213152766227722},{"id":"https://openalex.org/keywords/jacobi-method","display_name":"Jacobi method","score":0.5142332911491394},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.49374446272850037},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3844035863876343},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3333139717578888},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33331334590911865},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.286379337310791},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.23073282837867737},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10402730107307434}],"concepts":[{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6599181294441223},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.6106008291244507},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5861855745315552},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5213152766227722},{"id":"https://openalex.org/C67923128","wikidata":"https://www.wikidata.org/wiki/Q1481893","display_name":"Jacobi method","level":2,"score":0.5142332911491394},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.49374446272850037},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3844035863876343},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3333139717578888},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33331334590911865},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.286379337310791},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.23073282837867737},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10402730107307434},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-030-10828-1_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-10828-1_1","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:arXiv.org:2112.08053","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2112.08053","pdf_url":"https://arxiv.org/pdf/2112.08053","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2112.08053","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2112.08053","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2112.08053","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2112.08053","pdf_url":"https://arxiv.org/pdf/2112.08053","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W430125058","https://openalex.org/W575753745","https://openalex.org/W1851668635","https://openalex.org/W2104167753","https://openalex.org/W2106031748","https://openalex.org/W2163727044","https://openalex.org/W2211505654"],"related_works":["https://openalex.org/W12791606","https://openalex.org/W7219765","https://openalex.org/W8421194","https://openalex.org/W3433201","https://openalex.org/W13158897","https://openalex.org/W9675553","https://openalex.org/W2140299","https://openalex.org/W7022152","https://openalex.org/W12906885","https://openalex.org/W13363323"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2019-01-01T00:00:00"}