{"id":"https://openalex.org/W2030859733","doi":"https://doi.org/10.1109/tit.1973.1054927","title":"A new characterization of feedforward delay-free inverses (Corresp.)","display_name":"A new characterization of feedforward delay-free inverses (Corresp.)","publication_year":1973,"publication_date":"1973-01-01","ids":{"openalex":"https://openalex.org/W2030859733","doi":"https://doi.org/10.1109/tit.1973.1054927","mag":"2030859733"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1973.1054927","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1973.1054927","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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 Information Theory","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/A5111983732","display_name":"B. Moore","orcid":null},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]},{"id":"https://openalex.org/I4210116219","display_name":"Engineering Systems (United States)","ror":"https://ror.org/02qg60849","country_code":"US","type":"company","lineage":["https://openalex.org/I4210116219"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"B. Moore","raw_affiliation_strings":["Department of Electrical Engineering-Systems, University of Southern California, Los Angeles, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering-Systems, University of Southern California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I1174212","https://openalex.org/I4210116219"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108229711","display_name":"L. Silverman","orcid":null},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]},{"id":"https://openalex.org/I4210116219","display_name":"Engineering Systems (United States)","ror":"https://ror.org/02qg60849","country_code":"US","type":"company","lineage":["https://openalex.org/I4210116219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"L. Silverman","raw_affiliation_strings":["Department of Electrical Engineering-Systems, University of Southern California, Los Angeles, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering-Systems, University of Southern California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I1174212","https://openalex.org/I4210116219"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5111983732"],"corresponding_institution_ids":["https://openalex.org/I1174212","https://openalex.org/I4210116219"],"apc_list":null,"apc_paid":null,"fwci":2.5471,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.88000268,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"19","issue":"1","first_page":"126","last_page":"129"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9889000058174133,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9889000058174133,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9872999787330627,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10320","display_name":"Neural Networks and Applications","score":0.9847000241279602,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/inverse","display_name":"Inverse","score":0.6411125659942627},{"id":"https://openalex.org/keywords/corollary","display_name":"Corollary","score":0.6251158714294434},{"id":"https://openalex.org/keywords/feed-forward","display_name":"Feed forward","score":0.6121805906295776},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.48818761110305786},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46897444128990173},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4191117584705353},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4132597744464874},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4019475281238556},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37887153029441833}],"concepts":[{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.6411125659942627},{"id":"https://openalex.org/C2780012671","wikidata":"https://www.wikidata.org/wiki/Q1343870","display_name":"Corollary","level":2,"score":0.6251158714294434},{"id":"https://openalex.org/C38858127","wikidata":"https://www.wikidata.org/wiki/Q5441228","display_name":"Feed forward","level":2,"score":0.6121805906295776},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.48818761110305786},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46897444128990173},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4191117584705353},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4132597744464874},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4019475281238556},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37887153029441833},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1973.1054927","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1973.1054927","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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 Information Theory","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":8,"referenced_works":["https://openalex.org/W419388490","https://openalex.org/W1546311093","https://openalex.org/W2038020490","https://openalex.org/W2050354342","https://openalex.org/W2069677458","https://openalex.org/W2079363366","https://openalex.org/W2153810958","https://openalex.org/W2154662331"],"related_works":["https://openalex.org/W2376029318","https://openalex.org/W2388301251","https://openalex.org/W3013941779","https://openalex.org/W1998659141","https://openalex.org/W3195376785","https://openalex.org/W2370435933","https://openalex.org/W138938013","https://openalex.org/W2947625790","https://openalex.org/W1975877275","https://openalex.org/W2951185269"],"abstract_inverted_index":{"A":[0],"necessary":[1],"and":[2],"sufficient":[3],"condition":[4,32],"for":[5,17],"a":[6,12,59,70],"linear":[7,21,60],"sequential":[8,22,61],"circuit":[9,62],"to":[10],"possess":[11,25],"feedforward":[13,71],"inverse":[14,81],"is":[15,33],"given":[16,34],"the":[18,38,47,55],"class":[19],"of":[20,37,46],"circuits":[23],"that":[24,82],"delay-free":[26,72],"inverses.":[27],"Unlike":[28],"previous":[29],"work,":[30],"this":[31],"in":[35],"terms":[36],"difference":[39],"(state)":[40],"equation":[41],"matrices":[42],"rather":[43],"than":[44,86],"minors":[45],"system":[48],"transfer-function":[49],"matrix.":[50],"The":[51],"constructive":[52],"proof":[53],"yields":[54],"following":[56],"corollary:":[57],"if":[58],"requiring":[63],"<tex":[64,87],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[65,88],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</tex>":[66,89],"memory":[67,90],"elements":[68],"has":[69],"inverse,":[73],"then":[74],"there":[75],"exists":[76],"at":[77],"least":[78],"one":[79],"such":[80],"requires":[83],"no":[84],"more":[85],"elements.":[91]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}