{"id":"https://openalex.org/W3208444260","doi":"https://doi.org/10.1007/s11424-021-0302-2","title":"Normalization of Indexed Differentials by Extending Gr\u00f6bner Basis Theory","display_name":"Normalization of Indexed Differentials by Extending Gr\u00f6bner Basis Theory","publication_year":2021,"publication_date":"2021-10-23","ids":{"openalex":"https://openalex.org/W3208444260","doi":"https://doi.org/10.1007/s11424-021-0302-2","mag":"3208444260"},"language":"en","primary_location":{"id":"doi:10.1007/s11424-021-0302-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11424-021-0302-2","pdf_url":null,"source":{"id":"https://openalex.org/S45848134","display_name":"Journal of Systems Science and Complexity","issn_l":"1009-6124","issn":["1009-6124","1559-7067"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Systems Science and Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100325222","display_name":"Jiang Liu","orcid":"https://orcid.org/0000-0002-0729-1299"},"institutions":[{"id":"https://openalex.org/I148128674","display_name":"University of Shanghai for Science and Technology","ror":"https://ror.org/00ay9v204","country_code":"CN","type":"education","lineage":["https://openalex.org/I148128674"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jiang Liu","raw_affiliation_strings":["Department of Systems Science, University of Shanghai for Science and Technology, Shanghai, 200093, China"],"affiliations":[{"raw_affiliation_string":"Department of Systems Science, University of Shanghai for Science and Technology, Shanghai, 200093, China","institution_ids":["https://openalex.org/I148128674"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101890759","display_name":"Feng Ni","orcid":"https://orcid.org/0000-0003-1273-7838"},"institutions":[{"id":"https://openalex.org/I148128674","display_name":"University of Shanghai for Science and Technology","ror":"https://ror.org/00ay9v204","country_code":"CN","type":"education","lineage":["https://openalex.org/I148128674"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Feng Ni","raw_affiliation_strings":["Department of Systems Science, University of Shanghai for Science and Technology, Shanghai, 200093, China"],"affiliations":[{"raw_affiliation_string":"Department of Systems Science, University of Shanghai for Science and Technology, Shanghai, 200093, China","institution_ids":["https://openalex.org/I148128674"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109522895","display_name":"Shihang Song","orcid":null},"institutions":[{"id":"https://openalex.org/I148128674","display_name":"University of Shanghai for Science and Technology","ror":"https://ror.org/00ay9v204","country_code":"CN","type":"education","lineage":["https://openalex.org/I148128674"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shihang Song","raw_affiliation_strings":["Department of Systems Science, University of Shanghai for Science and Technology, Shanghai, 200093, China"],"affiliations":[{"raw_affiliation_string":"Department of Systems Science, University of Shanghai for Science and Technology, Shanghai, 200093, China","institution_ids":["https://openalex.org/I148128674"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100516510","display_name":"Mingjun Du","orcid":"https://orcid.org/0000-0001-6151-4548"},"institutions":[{"id":"https://openalex.org/I148128674","display_name":"University of Shanghai for Science and Technology","ror":"https://ror.org/00ay9v204","country_code":"CN","type":"education","lineage":["https://openalex.org/I148128674"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mingjun Du","raw_affiliation_strings":["Department of Systems Science, University of Shanghai for Science and Technology, Shanghai, 200093, China"],"affiliations":[{"raw_affiliation_string":"Department of Systems Science, University of Shanghai for Science and Technology, Shanghai, 200093, China","institution_ids":["https://openalex.org/I148128674"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100325222"],"corresponding_institution_ids":["https://openalex.org/I148128674"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.1507,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.54020294,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"35","issue":"5","first_page":"2016","last_page":"2028"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9991999864578247,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9613000154495239,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/normalization","display_name":"Normalization (sociology)","score":0.7827039957046509},{"id":"https://openalex.org/keywords/complex-system","display_name":"Complex system","score":0.7277188897132874},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5288114547729492},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4013892114162445},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38912323117256165},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19819265604019165},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.126438707113266},{"id":"https://openalex.org/keywords/sociology","display_name":"Sociology","score":0.11028093099594116}],"concepts":[{"id":"https://openalex.org/C136886441","wikidata":"https://www.wikidata.org/wiki/Q926129","display_name":"Normalization (sociology)","level":2,"score":0.7827039957046509},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.7277188897132874},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5288114547729492},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4013892114162445},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38912323117256165},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19819265604019165},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.126438707113266},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.11028093099594116},{"id":"https://openalex.org/C19165224","wikidata":"https://www.wikidata.org/wiki/Q23404","display_name":"Anthropology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11424-021-0302-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11424-021-0302-2","pdf_url":null,"source":{"id":"https://openalex.org/S45848134","display_name":"Journal of Systems Science and Complexity","issn_l":"1009-6124","issn":["1009-6124","1559-7067"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Systems Science and Complexity","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W2066230857","https://openalex.org/W2181833908","https://openalex.org/W2342474666","https://openalex.org/W2752295629","https://openalex.org/W2771672395","https://openalex.org/W2963495298","https://openalex.org/W2963661550","https://openalex.org/W3024104073","https://openalex.org/W3047017339"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2591697403","https://openalex.org/W1587224694","https://openalex.org/W2042127053"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
