{"id":"https://openalex.org/W1977327836","doi":"https://doi.org/10.1145/2429135.2429158","title":"Sparse differential resultant for laurent differential polynomials","display_name":"Sparse differential resultant for laurent differential polynomials","publication_year":2013,"publication_date":"2013-01-15","ids":{"openalex":"https://openalex.org/W1977327836","doi":"https://doi.org/10.1145/2429135.2429158","mag":"1977327836"},"language":"en","primary_location":{"id":"doi:10.1145/2429135.2429158","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2429135.2429158","pdf_url":null,"source":{"id":"https://openalex.org/S176185422","display_name":"ACM communications in computer algebra","issn_l":"1932-2232","issn":["1932-2232","1932-2240"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320725","host_organization_name":"SIGSAM","host_organization_lineage":["https://openalex.org/P4310320725"],"host_organization_lineage_names":["SIGSAM"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Communications in Computer Algebra","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/A5100318325","display_name":"W\u011bi Li","orcid":"https://orcid.org/0000-0002-9522-4474"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Li","raw_affiliation_strings":["KLMM, AMSS, Chinese Academy of Sciences, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"KLMM, AMSS, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I19820366"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112456204","display_name":"Chun-Ming Yuan","orcid":"https://orcid.org/0000-0001-5769-4814"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chun-Ming Yuan","raw_affiliation_strings":["KLMM, AMSS, Chinese Academy of Sciences, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"KLMM, AMSS, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I19820366"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017479931","display_name":"Xiao-Shan Gao","orcid":"https://orcid.org/0000-0003-2021-9395"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao-Shan Gao","raw_affiliation_strings":["KLMM, AMSS, Chinese Academy of Sciences, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"KLMM, AMSS, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I19820366"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I19820366"],"apc_list":null,"apc_paid":null,"fwci":1.8226,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.8453551,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"46","issue":"3/4","first_page":"110","last_page":"111"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9998000264167786,"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":0.9998000264167786,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9925000071525574,"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/T11416","display_name":"Numerical methods for differential equations","score":0.983299970626831,"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/differential","display_name":"Differential (mechanical device)","score":0.6525478363037109},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6520806550979614},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5296385288238525},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5114606618881226},{"id":"https://openalex.org/keywords/laurent-polynomial","display_name":"Laurent polynomial","score":0.5028380751609802},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.41566166281700134},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36845678091049194},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3013819456100464},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14733245968818665},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.044785261154174805}],"concepts":[{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.6525478363037109},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6520806550979614},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5296385288238525},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5114606618881226},{"id":"https://openalex.org/C106639798","wikidata":"https://www.wikidata.org/wiki/Q1701125","display_name":"Laurent polynomial","level":2,"score":0.5028380751609802},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.41566166281700134},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36845678091049194},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3013819456100464},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14733245968818665},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.044785261154174805},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2429135.2429158","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2429135.2429158","pdf_url":null,"source":{"id":"https://openalex.org/S176185422","display_name":"ACM communications in computer algebra","issn_l":"1932-2232","issn":["1932-2232","1932-2240"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320725","host_organization_name":"SIGSAM","host_organization_lineage":["https://openalex.org/P4310320725"],"host_organization_lineage_names":["SIGSAM"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Communications in Computer Algebra","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W180233073","https://openalex.org/W1488976814","https://openalex.org/W1499727273","https://openalex.org/W1512237513","https://openalex.org/W1528441508","https://openalex.org/W1588948421","https://openalex.org/W1601908671","https://openalex.org/W1732002285","https://openalex.org/W1969917904","https://openalex.org/W1970058933","https://openalex.org/W1974018266","https://openalex.org/W1976392590","https://openalex.org/W1980662086","https://openalex.org/W1985519473","https://openalex.org/W1986326612","https://openalex.org/W1991813962","https://openalex.org/W1995786326","https://openalex.org/W2004833313","https://openalex.org/W2024056102","https://openalex.org/W2030368584","https://openalex.org/W2035153735","https://openalex.org/W2037615924","https://openalex.org/W2043566632","https://openalex.org/W2066130115","https://openalex.org/W2068958514","https://openalex.org/W2081364946","https://openalex.org/W2086901897","https://openalex.org/W2088544378","https://openalex.org/W2098287030","https://openalex.org/W2108888104","https://openalex.org/W2116526720","https://openalex.org/W2118188589","https://openalex.org/W2120672219","https://openalex.org/W2143023483","https://openalex.org/W2147817337","https://openalex.org/W2149184572","https://openalex.org/W2152163157","https://openalex.org/W2168552854","https://openalex.org/W2315330530","https://openalex.org/W2586272055","https://openalex.org/W2949938910","https://openalex.org/W2964325680","https://openalex.org/W3102975038","https://openalex.org/W4301746773"],"related_works":["https://openalex.org/W1653123778","https://openalex.org/W3161230432","https://openalex.org/W2914928059","https://openalex.org/W2752339703","https://openalex.org/W1487201914","https://openalex.org/W2962817361","https://openalex.org/W2805333562","https://openalex.org/W1480749140","https://openalex.org/W2952859903","https://openalex.org/W1980375714"],"abstract_inverted_index":{"In":[0,43],"this":[1],"poster,":[2],"we":[3],"first":[4],"introduce":[5],"the":[6,25,50,62,75],"concept":[7],"of":[8,21],"Laurent":[9,31],"differentially":[10,32],"essential":[11,33],"systems":[12],"and":[13,37,46],"give":[14],"a":[15,30,57],"criterion":[16],"for":[17,29,49,61],"them":[18],"in":[19],"terms":[20],"their":[22],"supports.":[23],"Then":[24],"sparse":[26,51,76],"differential":[27,52,63,77],"resultant":[28,78],"system":[34],"is":[35,79,82],"defined":[36],"its":[38],"basic":[39],"properties":[40],"are":[41,65],"given.":[42,66],"particular,":[44],"order":[45],"degree":[47,59],"bounds":[48],"resultant,":[53,64],"as":[54,56],"well":[55],"BKK-type":[58],"bound":[60],"Based":[67],"on":[68],"these":[69],"bounds,":[70],"an":[71],"algorithm":[72],"to":[73],"compute":[74],"proposed,":[80],"which":[81],"single":[83],"exponential.":[84]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}