{"id":"https://openalex.org/W2149409694","doi":"https://doi.org/10.1109/tec.1962.5219383","title":"A Simplified Procedure for the Realization of Linearly-Separable Switching Functions","display_name":"A Simplified Procedure for the Realization of Linearly-Separable Switching Functions","publication_year":1962,"publication_date":"1962-08-01","ids":{"openalex":"https://openalex.org/W2149409694","doi":"https://doi.org/10.1109/tec.1962.5219383","mag":"2149409694"},"language":"en","primary_location":{"id":"doi:10.1109/tec.1962.5219383","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tec.1962.5219383","pdf_url":null,"source":{"id":"https://openalex.org/S60436882","display_name":"IEEE Transactions on Electronic Computers","issn_l":"0367-7508","issn":["0367-7508"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Electronic Computers","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/A5113792295","display_name":"C. L. Coates","orcid":null},"institutions":[{"id":"https://openalex.org/I1332737386","display_name":"General Electric (United States)","ror":"https://ror.org/013msgt25","country_code":"US","type":"company","lineage":["https://openalex.org/I1332737386"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"C. L. Coates","raw_affiliation_strings":["General Electric Research Laboratory, Schenectady, NY, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"General Electric Research Laboratory, Schenectady, NY, USA","institution_ids":["https://openalex.org/I1332737386"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055445823","display_name":"R. Kirchner","orcid":null},"institutions":[{"id":"https://openalex.org/I1332737386","display_name":"General Electric (United States)","ror":"https://ror.org/013msgt25","country_code":"US","type":"company","lineage":["https://openalex.org/I1332737386"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R. B. Kirchner","raw_affiliation_strings":["General Electric Research Laboratory, Schenectady, NY, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"General Electric Research Laboratory, Schenectady, NY, USA","institution_ids":["https://openalex.org/I1332737386"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109259127","display_name":"Philip Lewis","orcid":null},"institutions":[{"id":"https://openalex.org/I1332737386","display_name":"General Electric (United States)","ror":"https://ror.org/013msgt25","country_code":"US","type":"company","lineage":["https://openalex.org/I1332737386"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"P. M. Lewis","raw_affiliation_strings":["General Electric Research Laboratory, Schenectady, NY, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"General Electric Research Laboratory, Schenectady, NY, USA","institution_ids":["https://openalex.org/I1332737386"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I1332737386"],"apc_list":null,"apc_paid":null,"fwci":6.5011,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.96668487,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"EC-11","issue":"4","first_page":"447","last_page":"458"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9912999868392944,"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"}},"topics":[{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9912999868392944,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9825999736785889,"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"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9736999869346619,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.8372186422348022},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6511505842208862},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.6358811259269714},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5714641809463501},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5687947869300842},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5582188367843628},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.48937076330184937},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.46437326073646545},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3800192177295685},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35951173305511475},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3250278830528259},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3228951692581177},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3147021532058716},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12436828017234802},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.0845920741558075}],"concepts":[{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.8372186422348022},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6511505842208862},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.6358811259269714},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5714641809463501},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5687947869300842},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5582188367843628},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.48937076330184937},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.46437326073646545},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3800192177295685},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35951173305511475},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3250278830528259},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3228951692581177},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3147021532058716},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12436828017234802},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0845920741558075},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tec.1962.5219383","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tec.1962.5219383","pdf_url":null,"source":{"id":"https://openalex.org/S60436882","display_name":"IEEE Transactions on Electronic Computers","issn_l":"0367-7508","issn":["0367-7508"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Electronic Computers","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/W2000659745","https://openalex.org/W2079873320","https://openalex.org/W2103676795","https://openalex.org/W2169059873","https://openalex.org/W6670577401"],"related_works":["https://openalex.org/W2022544890","https://openalex.org/W2394097730","https://openalex.org/W2769996735","https://openalex.org/W4321064619","https://openalex.org/W2009525028","https://openalex.org/W2260963831","https://openalex.org/W4235249401","https://openalex.org/W2331305369","https://openalex.org/W2734546921","https://openalex.org/W2043523297"],"abstract_inverted_index":{"A":[0],"previous":[1],"paper":[2],"gives":[3],"a":[4,22,51],"procedure":[5,27,70],"for":[6,85],"the":[7,34,54,59,65,74,78,89,94,96],"testing":[8],"and":[9],"realization":[10],"of":[11,41,53,56,64,76,80,88],"linearly-separable":[12],"switching":[13],"functions,":[14],"i.e.,":[15],"functions":[16,57],"which":[17],"can":[18,28],"be":[19,29],"realized":[20],"by":[21],"single":[23],"threshold":[24],"component.":[25],"That":[26],"considerably":[30],"simplified,":[31],"particularly":[32],"when":[33],"given":[35],"function":[36,60],"is":[37],"symmetric":[38],"in":[39,58,62],"sets":[40],"two":[42],"or":[43],"more":[44],"variables.":[45],"The":[46],"simplifications":[47],"arise":[48],"due":[49,105],"to":[50,103,106],"reduction":[52],"number":[55],"tree":[61],"view":[63],"coefficient":[66],"ordering.":[67],"Although":[68],"this":[69],"was":[71],"derived":[72],"with":[73],"aim":[75],"reducing":[77],"amount":[79],"computation":[81],"below":[82],"that":[83,92,104],"required":[84],"straightforward":[86],"solution":[87],"simultaneous":[90],"inequalities":[91],"define":[93],"problem,":[95],"resulting":[97],"method":[98],"has":[99],"some":[100],"interesting":[101],"relationships":[102],"Winder.":[107]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}