{"id":"https://openalex.org/W194764642","doi":"https://doi.org/10.1007/3-540-63010-4_16","title":"Affine transformations in Signal and their application in the specification and validation of real-time systems","display_name":"Affine transformations in Signal and their application in the specification and validation of real-time systems","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W194764642","doi":"https://doi.org/10.1007/3-540-63010-4_16","mag":"194764642"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-63010-4_16","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-63010-4_16","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5078081254","display_name":"Irina Smarandache","orcid":null},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I2802519937","display_name":"Institut de Recherche en Informatique et Syst\u00e8mes Al\u00e9atoires","ror":"https://ror.org/00myn0z94","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I205703379","https://openalex.org/I2802204017","https://openalex.org/I2802519937","https://openalex.org/I28221208","https://openalex.org/I4210127572","https://openalex.org/I4210159245","https://openalex.org/I56067802"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Irina Smarandache","raw_affiliation_strings":["IRISA-INRIA, Campus de Beaulieu, 35042, Rennes Cedex, France","IRISA/INRIA,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IRISA-INRIA, Campus de Beaulieu, 35042, Rennes Cedex, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I2802519937"]},{"raw_affiliation_string":"IRISA/INRIA,","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I2802519937"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067313227","display_name":"Paul Le Guernic","orcid":null},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I2802519937","display_name":"Institut de Recherche en Informatique et Syst\u00e8mes Al\u00e9atoires","ror":"https://ror.org/00myn0z94","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I205703379","https://openalex.org/I2802204017","https://openalex.org/I2802519937","https://openalex.org/I28221208","https://openalex.org/I4210127572","https://openalex.org/I4210159245","https://openalex.org/I56067802"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Paul Le Guernic","raw_affiliation_strings":["IRISA-INRIA, Campus de Beaulieu, 35042, Rennes Cedex, France","IRISA/INRIA,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IRISA-INRIA, Campus de Beaulieu, 35042, Rennes Cedex, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I2802519937"]},{"raw_affiliation_string":"IRISA/INRIA,","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I2802519937"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5078081254"],"corresponding_institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I2802519937"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.6087,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.58028169,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"233","last_page":"247"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10904","display_name":"Embedded Systems Design Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T10904","display_name":"Embedded Systems Design Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T12810","display_name":"Real-time simulation and control systems","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T11032","display_name":"VLSI and Analog Circuit Testing","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/compiler","display_name":"Compiler","score":0.8815402388572693},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.7413167953491211},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7091538906097412},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.6979652643203735},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.6601278781890869},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.6587014198303223},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.5354927182197571},{"id":"https://openalex.org/keywords/formal-specification","display_name":"Formal specification","score":0.41578397154808044},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39824897050857544},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3966774344444275},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34759485721588135},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22217214107513428},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.10866162180900574},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.059321314096450806}],"concepts":[{"id":"https://openalex.org/C169590947","wikidata":"https://www.wikidata.org/wiki/Q47506","display_name":"Compiler","level":2,"score":0.8815402388572693},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.7413167953491211},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7091538906097412},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.6979652643203735},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.6601278781890869},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.6587014198303223},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.5354927182197571},{"id":"https://openalex.org/C116253237","wikidata":"https://www.wikidata.org/wiki/Q1437424","display_name":"Formal specification","level":2,"score":0.41578397154808044},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39824897050857544},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3966774344444275},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34759485721588135},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22217214107513428},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.10866162180900574},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.059321314096450806},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/3-540-63010-4_16","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-63010-4_16","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.25.6139","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.25.6139","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp.irisa.fr/local/signal/publis/articles/ARTS-97:affine.ps.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W108879856","https://openalex.org/W1515241834","https://openalex.org/W1524122354","https://openalex.org/W1592043215","https://openalex.org/W1598908928","https://openalex.org/W1649928707","https://openalex.org/W1841433029","https://openalex.org/W2002252837","https://openalex.org/W2010398371","https://openalex.org/W2012429438","https://openalex.org/W2063278115","https://openalex.org/W2091158003","https://openalex.org/W2093741304","https://openalex.org/W2100500718","https://openalex.org/W2120431055","https://openalex.org/W2159542925","https://openalex.org/W2168964723","https://openalex.org/W2808286301","https://openalex.org/W2953996638"],"related_works":["https://openalex.org/W3096456556","https://openalex.org/W4240253816","https://openalex.org/W2169584677","https://openalex.org/W2979513934","https://openalex.org/W4232954277","https://openalex.org/W2075768550","https://openalex.org/W3022218857","https://openalex.org/W2020341030","https://openalex.org/W2749133591","https://openalex.org/W2367473450"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-30T09:15:22.047038","created_date":"2025-10-10T00:00:00"}