{"id":"https://openalex.org/W1597897053","doi":"https://doi.org/10.1109/cdc.2002.1184659","title":"Path-integral generalized differentials","display_name":"Path-integral generalized differentials","publication_year":2003,"publication_date":"2003-08-27","ids":{"openalex":"https://openalex.org/W1597897053","doi":"https://doi.org/10.1109/cdc.2002.1184659","mag":"1597897053"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2002.1184659","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2002.1184659","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 41st IEEE Conference on Decision and Control, 2002.","raw_type":"proceedings-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/A5111720552","display_name":"H.J. Sussmann","orcid":null},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"H.J. Sussmann","raw_affiliation_strings":["Department of Mathematics, State University of New Jersey, Rutgers, Piscataway, NJ, USA","Dept. of Math., Rutgers Univ., Piscataway, NJ, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, State University of New Jersey, Rutgers, Piscataway, NJ, USA","institution_ids":["https://openalex.org/I102322142"]},{"raw_affiliation_string":"Dept. of Math., Rutgers Univ., Piscataway, NJ, USA","institution_ids":["https://openalex.org/I102322142"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111720552"],"corresponding_institution_ids":["https://openalex.org/I102322142"],"apc_list":null,"apc_paid":null,"fwci":0.2549,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.52888614,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"1","issue":null,"first_page":"1101","last_page":"1106"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9894000291824341,"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/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/unification","display_name":"Unification","score":0.7746164798736572},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.7029020190238953},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.6455204486846924},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5857931971549988},{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.4832928478717804},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.47144806385040283},{"id":"https://openalex.org/keywords/path-integral-formulation","display_name":"Path integral formulation","score":0.4621259868144989},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.45765364170074463},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4566586911678314},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34907275438308716},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32900339365005493},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.31669938564300537},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08338108658790588}],"concepts":[{"id":"https://openalex.org/C96146094","wikidata":"https://www.wikidata.org/wiki/Q609057","display_name":"Unification","level":2,"score":0.7746164798736572},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.7029020190238953},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.6455204486846924},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5857931971549988},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.4832928478717804},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.47144806385040283},{"id":"https://openalex.org/C154018700","wikidata":"https://www.wikidata.org/wiki/Q898323","display_name":"Path integral formulation","level":3,"score":0.4621259868144989},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.45765364170074463},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4566586911678314},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34907275438308716},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32900339365005493},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.31669938564300537},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08338108658790588},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2002.1184659","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2002.1184659","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 41st IEEE Conference on Decision and Control, 2002.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.49000000953674316,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":1,"referenced_works":["https://openalex.org/W1527488877"],"related_works":["https://openalex.org/W2367630557","https://openalex.org/W101666983","https://openalex.org/W2183792531","https://openalex.org/W2595286499","https://openalex.org/W2794344379","https://openalex.org/W2471908688","https://openalex.org/W1845283042","https://openalex.org/W3171337446","https://openalex.org/W2884423176","https://openalex.org/W2616882931"],"abstract_inverted_index":{"This":[0],"is":[1],"the":[2,19,22,51,68],"second":[3],"of":[4,7,21,46,60],"a":[5],"series":[6],"two":[8],"papers":[9],"on":[10],"generalized":[11,35,61,64],"differentiation":[12],"theories":[13,48],"(GDTs).":[14],"The":[15],"first":[16],"paper":[17],"discussed":[18],"definition":[20],"GDT":[23],"concept,":[24],"presented":[25],"several":[26],"GCDTs":[27],"(the":[28],"Warga":[29],"derivate":[30],"containers,":[31],"weak":[32],"multidifferentials,":[33],"and":[34,38],"differential":[36,65],"quotients)":[37],"compared":[39],"them":[40],"showing,":[41],"in":[42],"particular,":[43],"that":[44],"none":[45],"these":[47],"contains":[49],"all":[50],"others.":[52],"In":[53],"this":[54],"paper,":[55],"we":[56],"introduce":[57],"another":[58],"concept":[59],"differential-the":[62],"path-integral":[63],"(PIGD)-that":[66],"achieves":[67],"desired":[69],"unification.":[70]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}