{"id":"https://openalex.org/W2065726567","doi":"https://doi.org/10.1145/1182553.1182557","title":"Construction of rankings on partial derivatives","display_name":"Construction of rankings on partial derivatives","publication_year":2006,"publication_date":"2006-06-01","ids":{"openalex":"https://openalex.org/W2065726567","doi":"https://doi.org/10.1145/1182553.1182557","mag":"2065726567"},"language":"en","primary_location":{"id":"doi:10.1145/1182553.1182557","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1182553.1182557","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/A5090017376","display_name":"Oleg Golubitsky","orcid":null},"institutions":[{"id":"https://openalex.org/I204722609","display_name":"Queen's University","ror":"https://ror.org/02y72wh86","country_code":"CA","type":"education","lineage":["https://openalex.org/I204722609"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Oleg Golubitsky","raw_affiliation_strings":["Queen's University, Kingston, Ontario, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Queen's University, Kingston, Ontario, Canada","institution_ids":["https://openalex.org/I204722609"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5090017376"],"corresponding_institution_ids":["https://openalex.org/I204722609"],"apc_list":null,"apc_paid":null,"fwci":0.3371,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.61804358,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"40","issue":"2","first_page":"38","last_page":"42"},"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9975000023841858,"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"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9686999917030334,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.70514315366745},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6750407218933105},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.5863239169120789},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5856828093528748},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.5705661773681641},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.551928699016571},{"id":"https://openalex.org/keywords/partial-derivative","display_name":"Partial derivative","score":0.515421986579895},{"id":"https://openalex.org/keywords/indeterminate","display_name":"Indeterminate","score":0.4971340000629425},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3967379033565521},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.35783329606056213},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17769154906272888},{"id":"https://openalex.org/keywords/information-retrieval","display_name":"Information retrieval","score":0.0924166738986969},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08330264687538147},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.04963761568069458},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.04946228861808777},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0483756959438324}],"concepts":[{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.70514315366745},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6750407218933105},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.5863239169120789},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5856828093528748},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.5705661773681641},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.551928699016571},{"id":"https://openalex.org/C53846429","wikidata":"https://www.wikidata.org/wiki/Q186475","display_name":"Partial derivative","level":2,"score":0.515421986579895},{"id":"https://openalex.org/C94624232","wikidata":"https://www.wikidata.org/wiki/Q3150667","display_name":"Indeterminate","level":2,"score":0.4971340000629425},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3967379033565521},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35783329606056213},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17769154906272888},{"id":"https://openalex.org/C23123220","wikidata":"https://www.wikidata.org/wiki/Q816826","display_name":"Information retrieval","level":1,"score":0.0924166738986969},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08330264687538147},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.04963761568069458},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.04946228861808777},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0483756959438324},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1182553.1182557","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1182553.1182557","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":5,"referenced_works":["https://openalex.org/W1980662086","https://openalex.org/W1985065217","https://openalex.org/W2003131100","https://openalex.org/W2049309571","https://openalex.org/W2081659888"],"related_works":["https://openalex.org/W2128679611","https://openalex.org/W2367457082","https://openalex.org/W2070503373","https://openalex.org/W332284284","https://openalex.org/W2381043244","https://openalex.org/W2318651310","https://openalex.org/W2392322089","https://openalex.org/W2435935179","https://openalex.org/W2086994682","https://openalex.org/W4236494936"],"abstract_inverted_index":{"In":[0,22],"differential":[1,41,54,72],"algebra":[2],"[1],":[3],"rankings":[4],"on":[5,35],"partial":[6,36],"derivatives":[7,37,52],"play":[8],"the":[9,17,64,67],"same":[10],"role":[11],"as":[12],"admissible":[13,25],"term":[14,26],"orders":[15],"in":[16,53],"theory":[18],"of":[19,32,38,45],"Gr\u00f6bner":[20],"bases.":[21],"fact,":[23],"an":[24],"order":[27],"is":[28],"a":[29,33,39,46,57,68],"particular":[30],"case":[31],"ranking":[34,47],"single":[40],"indeterminate.":[42],"The":[43],"introduction":[44],"allows":[48],"to":[49],"select":[50],"leading":[51],"polynomials,":[55],"define":[56],"pseudo-reduction":[58],"relation,":[59],"and":[60],"consider":[61],"autoreduced":[62],"sets;":[63],"latter":[65],"are":[66],"tool":[69],"for":[70],"representing":[71],"ideals.":[73]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
