{"id":"https://openalex.org/W3126686007","doi":"https://doi.org/10.1115/1.4050077","title":"A Formal Representation of Conjugate Verbs for Function Modeling","display_name":"A Formal Representation of Conjugate Verbs for Function Modeling","publication_year":2021,"publication_date":"2021-02-06","ids":{"openalex":"https://openalex.org/W3126686007","doi":"https://doi.org/10.1115/1.4050077","mag":"3126686007"},"language":"en","primary_location":{"id":"doi:10.1115/1.4050077","is_oa":false,"landing_page_url":"https://doi.org/10.1115/1.4050077","pdf_url":null,"source":{"id":"https://openalex.org/S173178594","display_name":"Journal of Computing and Information Science in Engineering","issn_l":"1530-9827","issn":["1530-9827","1944-7078"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316053","host_organization_name":"ASM International","host_organization_lineage":["https://openalex.org/P4310316053"],"host_organization_lineage_names":["ASM International"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computing and Information Science in Engineering","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/A5049814366","display_name":"Ahmed Chowdhury","orcid":null},"institutions":[{"id":"https://openalex.org/I106959904","display_name":"Florida Institute of Technology","ror":"https://ror.org/04atsbb87","country_code":"US","type":"education","lineage":["https://openalex.org/I106959904"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ahmed Chowdhury","raw_affiliation_strings":["Department of MCE, Florida Institute of Technology, 150 W. University Boulevard, Melbourne, FL 32901"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of MCE, Florida Institute of Technology, 150 W. University Boulevard, Melbourne, FL 32901","institution_ids":["https://openalex.org/I106959904"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021834819","display_name":"Lakshmi N. A. Venkatanarasimhan","orcid":null},"institutions":[{"id":"https://openalex.org/I106959904","display_name":"Florida Institute of Technology","ror":"https://ror.org/04atsbb87","country_code":"US","type":"education","lineage":["https://openalex.org/I106959904"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lakshmi N. A. Venkatanarasimhan","raw_affiliation_strings":["Department of MCE, Florida Institute of Technology, 150 W. University Boulevard, Melbourne, FL 32901"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of MCE, Florida Institute of Technology, 150 W. University Boulevard, Melbourne, FL 32901","institution_ids":["https://openalex.org/I106959904"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008804536","display_name":"Chiradeep Sen","orcid":null},"institutions":[{"id":"https://openalex.org/I106959904","display_name":"Florida Institute of Technology","ror":"https://ror.org/04atsbb87","country_code":"US","type":"education","lineage":["https://openalex.org/I106959904"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chiradeep Sen","raw_affiliation_strings":["Department of MCE, Florida Institute of Technology, 150 W. University Boulevard, Melbourne, FL 32901"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of MCE, Florida Institute of Technology, 150 W. University Boulevard, Melbourne, FL 32901","institution_ids":["https://openalex.org/I106959904"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I106959904"],"apc_list":null,"apc_paid":null,"fwci":0.6046,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.72607478,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"21","issue":"5","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11159","display_name":"Manufacturing Process and Optimization","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11159","display_name":"Manufacturing Process and Optimization","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"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/T10672","display_name":"Design Education and Practice","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"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/T11729","display_name":"Product Development and Customization","score":0.9886999726295471,"subfield":{"id":"https://openalex.org/subfields/1405","display_name":"Management of Technology and Innovation"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/rotation-formalisms-in-three-dimensions","display_name":"Rotation formalisms in three dimensions","score":0.8208579421043396},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.6493604183197021},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.602612316608429},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5783758163452148},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.544577419757843},{"id":"https://openalex.org/keywords/conjugacy-class","display_name":"Conjugacy class","score":0.4947459399700165},{"id":"https://openalex.org/keywords/topological-conjugacy","display_name":"Topological conjugacy","score":0.44466274976730347},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.40991657972335815},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3549835979938507},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.20921316742897034}],"concepts":[{"id":"https://openalex.org/C171018156","wikidata":"https://www.wikidata.org/wiki/Q7370306","display_name":"Rotation formalisms in three dimensions","level":2,"score":0.8208579421043396},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.6493604183197021},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.602612316608429},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5783758163452148},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.544577419757843},{"id":"https://openalex.org/C87945829","wikidata":"https://www.wikidata.org/wiki/Q1353233","display_name":"Conjugacy class","level":2,"score":0.4947459399700165},{"id":"https://openalex.org/C165263651","wikidata":"https://www.wikidata.org/wiki/Q2443460","display_name":"Topological conjugacy","level":2,"score":0.44466274976730347},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.40991657972335815},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3549835979938507},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20921316742897034},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"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/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1115/1.4050077","is_oa":false,"landing_page_url":"https://doi.org/10.1115/1.4050077","pdf_url":null,"source":{"id":"https://openalex.org/S173178594","display_name":"Journal of Computing and Information Science in Engineering","issn_l":"1530-9827","issn":["1530-9827","1944-7078"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316053","host_organization_name":"ASM International","host_organization_lineage":["https://openalex.org/P4310316053"],"host_organization_lineage_names":["ASM International"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computing and Information Science in Engineering","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":98,"referenced_works":["https://openalex.org/W171529019","https://openalex.org/W185804277","https://openalex.org/W186868794","https://openalex.org/W192548246","https://openalex.org/W201047945","https://openalex.org/W204694291","https://openalex.org/W751056407","https://openalex.org/W1499977957","https://openalex.org/W1562578637","https://openalex.org/W1970194413","https://openalex.org/W1975367187","https://openalex.org/W1975386041","https://openalex.org/W1983654321","https://openalex.org/W1987251288","https://openalex.org/W1998661888","https://openalex.org/W2002089154","https://openalex.org/W2006818801","https://openalex.org/W2007569366","https://openalex.org/W2007786863","https://openalex.org/W2019227129","https://openalex.org/W2019431892","https://openalex.org/W2020683319","https://openalex.org/W2034546901","https://openalex.org/W2043379547","https://openalex.org/W2048814746","https://openalex.org/W2051104107","https://openalex.org/W2068634989","https://openalex.org/W2069829906","https://openalex.org/W2070795647","https://openalex.org/W2071173756","https://openalex.org/W2072965465","https://openalex.org/W2086215840","https://openalex.org/W2089631246","https://openalex.org/W2093456916","https://openalex.org/W2094024136","https://openalex.org/W2108077717","https://openalex.org/W2120124439","https://openalex.org/W2122436896","https://openalex.org/W2122592645","https://openalex.org/W2133301748","https://openalex.org/W2148999039","https://openalex.org/W2151587352","https://openalex.org/W2153227355","https://openalex.org/W2155236943","https://openalex.org/W2161648651","https://openalex.org/W2185982256","https://openalex.org/W2275433461","https://openalex.org/W2300758543","https://openalex.org/W2319363572","https://openalex.org/W2506106847","https://openalex.org/W2559789272","https://openalex.org/W2602748104","https://openalex.org/W2617318303","https://openalex.org/W2649042164","https://openalex.org/W2738527304","https://openalex.org/W2754919005","https://openalex.org/W2756363664","https://openalex.org/W2769636026","https://openalex.org/W2794230447","https://openalex.org/W2811512382","https://openalex.org/W2981745739","https://openalex.org/W2989831305","https://openalex.org/W2989881180","https://openalex.org/W2991140899","https://openalex.org/W2991194255","https://openalex.org/W2994087695","https://openalex.org/W3041149780","https://openalex.org/W3095360141","https://openalex.org/W3097100159","https://openalex.org/W3097287417","https://openalex.org/W3127084652","https://openalex.org/W4206448857","https://openalex.org/W4210796523","https://openalex.org/W4302339081","https://openalex.org/W6606995967","https://openalex.org/W6607656355","https://openalex.org/W6608339460","https://openalex.org/W6629899514","https://openalex.org/W6642560837","https://openalex.org/W6643903676","https://openalex.org/W6652136364","https://openalex.org/W6655242799","https://openalex.org/W6661467474","https://openalex.org/W6662806142","https://openalex.org/W6669023210","https://openalex.org/W6676356595","https://openalex.org/W6678150942","https://openalex.org/W6684071411","https://openalex.org/W6686744181","https://openalex.org/W6694491166","https://openalex.org/W6699622722","https://openalex.org/W6730602167","https://openalex.org/W6739947961","https://openalex.org/W6770166811","https://openalex.org/W6770275588","https://openalex.org/W6771181604","https://openalex.org/W6784801503","https://openalex.org/W6785144485"],"related_works":["https://openalex.org/W2415945172","https://openalex.org/W2090154855","https://openalex.org/W2322135471","https://openalex.org/W4300789086","https://openalex.org/W2024382131","https://openalex.org/W2767971830","https://openalex.org/W2211614076","https://openalex.org/W1648096790","https://openalex.org/W2952416369","https://openalex.org/W2971667310"],"abstract_inverted_index":{"Abstract":[0],"Modern":[1],"design":[2],"problems":[3],"often":[4],"require":[5],"multi-modal,":[6],"reconfigurable":[7],"solutions.":[8],"Function":[9],"modeling":[10,25,30,44,176],"is":[11,39],"a":[12,35,40,87,133,142,147],"common":[13],"tool":[14],"used":[15],"to":[16,45,104,125,163],"explore":[17],"solutions":[18],"in":[19,34,42,152],"early":[20],"mechanical":[21],"design.":[22],"Currently,":[23],"function":[24,43,73,144,168],"formalisms":[26],"minimally":[27],"support":[28,164],"the":[29,51,66,97,110,114,139,161,175,179],"of":[31,53,68,81,90,102,136,141,146,178],"multi-modal":[32,47],"systems":[33],"formal":[36,88],"manner.":[37],"There":[38],"need":[41],"capture":[46],"system":[48],"and":[49,56,155,173],"analyze":[50],"effects":[52],"control":[54],"signals":[55,58],"status":[57],"on":[59,109,167],"their":[60],"operating":[61],"modes.":[62],"This":[63],"paper":[64,85,121,159],"presents":[65,86],"concept":[67],"functional":[69,76,123,126,171],"conjugacy,":[70],"where":[71],"two":[72],"verbs":[74,93],"or":[75,113],"subgraphs":[77],"are":[78],"topological":[79,106],"opposites":[80],"each":[82],"other.":[83],"The":[84],"representation":[89],"these":[91],"conjugate":[92],"that":[94],"formally":[95],"captures":[96],"transition":[98],"from":[99],"one":[100],"mode":[101],"operation":[103],"its":[105,153],"opposite":[107],"based":[108],"existence":[111],"of,":[112,116],"value":[115],"signal":[117],"flows.":[118],"Additionally,":[119],"this":[120,158],"extends":[122],"conjugacy":[124,172],"features,":[127],"which":[128],"supports":[129],"conjugacy-based":[130],"reasoning":[131,166],"at":[132],"higher":[134],"level":[135],"abstraction.":[137],"Through":[138],"example":[140],"system-level":[143],"model":[145],"geothermal":[148],"heat":[149],"pump":[150],"(GHP)operating":[151],"heating":[154],"cooling":[156],"modes,":[157],"demonstrates":[160],"ability":[162],"modal":[165],"models":[169],"using":[170],"illustrates":[174],"efficacy":[177],"extended":[180],"representation.":[181]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}