{"id":"https://openalex.org/W2267787411","doi":"https://doi.org/10.1145/2930889.2930922","title":"Bounds for Orders of Derivatives in Differential Elimination Algorithms","display_name":"Bounds for Orders of Derivatives in Differential Elimination Algorithms","publication_year":2016,"publication_date":"2016-07-19","ids":{"openalex":"https://openalex.org/W2267787411","doi":"https://doi.org/10.1145/2930889.2930922","mag":"2267787411"},"language":"en","primary_location":{"id":"doi:10.1145/2930889.2930922","is_oa":true,"landing_page_url":"https://doi.org/10.1145/2930889.2930922","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/2930889.2930922","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://dl.acm.org/doi/pdf/10.1145/2930889.2930922","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046052014","display_name":"Richard Gustavson","orcid":"https://orcid.org/0000-0002-0080-7483"},"institutions":[{"id":"https://openalex.org/I121847817","display_name":"The Graduate Center, CUNY","ror":"https://ror.org/00awd9g61","country_code":"US","type":"education","lineage":["https://openalex.org/I121847817"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Richard Gustavson","raw_affiliation_strings":["CUNY Graduate Center, New York, NY, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CUNY Graduate Center, New York, NY, USA","institution_ids":["https://openalex.org/I121847817"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010581292","display_name":"Alexey Ovchinnikov","orcid":"https://orcid.org/0000-0001-8192-910X"},"institutions":[{"id":"https://openalex.org/I111455621","display_name":"Queens College, CUNY","ror":"https://ror.org/03v8adn41","country_code":"US","type":"education","lineage":["https://openalex.org/I111455621"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alexey Ovchinnikov","raw_affiliation_strings":["CUNY Queens College, Queens, NY, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CUNY Queens College, Queens, NY, USA","institution_ids":["https://openalex.org/I111455621"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012130065","display_name":"Gleb Pogudin","orcid":"https://orcid.org/0000-0002-5731-8242"},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]},{"id":"https://openalex.org/I4210150146","display_name":"Moscow State University","ror":"https://ror.org/050a13t43","country_code":"TJ","type":"education","lineage":["https://openalex.org/I4210150146"]}],"countries":["RU","TJ"],"is_corresponding":false,"raw_author_name":"Gleb Pogudin","raw_affiliation_strings":["Moscow State University, Moscow, Russian Fed"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Moscow State University, Moscow, Russian Fed","institution_ids":["https://openalex.org/I4210150146","https://openalex.org/I19880235"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3605,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.64879868,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"239","last_page":"246"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9994000196456909,"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":0.9994000196456909,"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/T11130","display_name":"Coding theory and cryptography","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/antichain","display_name":"Antichain","score":0.8558024168014526},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7030850052833557},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6801390051841736},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.663759171962738},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6034549474716187},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4993264675140381},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.43802446126937866},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4239945709705353},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.41296079754829407},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.367410808801651},{"id":"https://openalex.org/keywords/partially-ordered-set","display_name":"Partially ordered set","score":0.16276785731315613},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09167143702507019}],"concepts":[{"id":"https://openalex.org/C136134351","wikidata":"https://www.wikidata.org/wiki/Q431937","display_name":"Antichain","level":3,"score":0.8558024168014526},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7030850052833557},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6801390051841736},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.663759171962738},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6034549474716187},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4993264675140381},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.43802446126937866},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4239945709705353},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.41296079754829407},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.367410808801651},{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.16276785731315613},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09167143702507019},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2930889.2930922","is_oa":true,"landing_page_url":"https://doi.org/10.1145/2930889.2930922","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/2930889.2930922","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.1145/2930889.2930922","is_oa":true,"landing_page_url":"https://doi.org/10.1145/2930889.2930922","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/2930889.2930922","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4805568812","display_name":"CAREER: CISE-CCF-AF-Algebra: DMS-Algebra: Computational Differential Algebra","funder_award_id":"0952591","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7816252006","display_name":null,"funder_award_id":"CCF-0952591","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2267787411.pdf","grobid_xml":"https://content.openalex.org/works/W2267787411.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W1503666370","https://openalex.org/W1505039103","https://openalex.org/W1980662086","https://openalex.org/W1985407367","https://openalex.org/W2031477970","https://openalex.org/W2043248204","https://openalex.org/W2046652205","https://openalex.org/W2096856677","https://openalex.org/W2140712161","https://openalex.org/W2152163157","https://openalex.org/W2269795257","https://openalex.org/W2963185989","https://openalex.org/W2963252317","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4246843255","https://openalex.org/W1519761499","https://openalex.org/W2047255619","https://openalex.org/W2949992117","https://openalex.org/W2065333210","https://openalex.org/W2022194745","https://openalex.org/W2003315074","https://openalex.org/W4287724204","https://openalex.org/W2097686156","https://openalex.org/W1925430667"],"abstract_inverted_index":{"We":[0,100],"compute":[1],"an":[2,39],"upper":[3,82],"bound":[4,83,103],"for":[5,53,93],"the":[6,11,26,56,78,94,107,117],"orders":[7],"of":[8,20,28,35,42,72,96,119],"derivatives":[9],"in":[10,25,55],"Rosenfeld-Grobner":[12],"algorithm.":[13],"This":[14,45],"algorithm":[15,64,108],"computes":[16],"a":[17,21,32,70,97],"regular":[18],"decomposition":[19,46],"radical":[22,58],"differential":[23,29,33,59],"ideal":[24],"ring":[27],"polynomials":[30],"over":[31],"field":[34],"characteristic":[36],"zero":[37],"with":[38],"arbitrary":[40],"number":[41],"commuting":[43],"derivations.":[44],"can":[47,113],"then":[48],"be":[49,114],"used":[50],"to":[51,67,106],"test":[52],"membership":[54],"given":[57,85],"ideal.":[60],"In":[61],"particular,":[62],"this":[63],"allows":[65],"us":[66],"determine":[68],"whether":[69],"system":[71],"polynomial":[73],"PDEs":[74],"is":[75],"consistent.":[76],"Previously,":[77],"only":[79],"known":[80],"order":[81],"was":[84],"by":[86,104],"Golubitsky,":[87],"Kondratieva,":[88],"Moreno":[89],"Maza,":[90],"and":[91,122],"Ovchinnikov":[92],"case":[95],"single":[98],"derivation.":[99],"achieve":[101],"our":[102],"associating":[105],"antichain":[109],"sequences":[110],"whose":[111],"lengths":[112],"bounded":[115],"using":[116],"results":[118],"Leon":[120],"Sanchez":[121],"Ovchinnikov.":[123]},"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}