{"id":"https://openalex.org/W2160766771","doi":"https://doi.org/10.1109/tit.1956.1056824","title":"Determination of redundancies in a set of patterns","display_name":"Determination of redundancies in a set of patterns","publication_year":1956,"publication_date":"1956-12-01","ids":{"openalex":"https://openalex.org/W2160766771","doi":"https://doi.org/10.1109/tit.1956.1056824","mag":"2160766771"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1956.1056824","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1956.1056824","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/A5017344247","display_name":"A. Glovazky","orcid":null},"institutions":[{"id":"https://openalex.org/I1306686416","display_name":"RTX (United States)","ror":"https://ror.org/0354t7b78","country_code":"US","type":"company","lineage":["https://openalex.org/I1306686416"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"A. Glovazky","raw_affiliation_strings":["Raytheon Manufacturing Company, Inc., Waltham, MA, USA"],"affiliations":[{"raw_affiliation_string":"Raytheon Manufacturing Company, Inc., Waltham, MA, USA","institution_ids":["https://openalex.org/I1306686416"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5017344247"],"corresponding_institution_ids":["https://openalex.org/I1306686416"],"apc_list":null,"apc_paid":null,"fwci":2.5686,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.88720174,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":"4","first_page":"151","last_page":"153"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9797000288963318,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12162","display_name":"Cellular Automata and Applications","score":0.9797000288963318,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/redundancy","display_name":"Redundancy (engineering)","score":0.6941400766372681},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6606972217559814},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.5357498526573181},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5344635248184204},{"id":"https://openalex.org/keywords/schedule","display_name":"Schedule","score":0.49089938402175903},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.48549726605415344},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4852156937122345},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.4419439435005188},{"id":"https://openalex.org/keywords/source-code","display_name":"Source code","score":0.4285629093647003},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.40289467573165894},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.36878877878189087},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36774444580078125},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.19163697957992554}],"concepts":[{"id":"https://openalex.org/C152124472","wikidata":"https://www.wikidata.org/wiki/Q1204361","display_name":"Redundancy (engineering)","level":2,"score":0.6941400766372681},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6606972217559814},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.5357498526573181},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5344635248184204},{"id":"https://openalex.org/C68387754","wikidata":"https://www.wikidata.org/wiki/Q7271585","display_name":"Schedule","level":2,"score":0.49089938402175903},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.48549726605415344},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4852156937122345},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.4419439435005188},{"id":"https://openalex.org/C43126263","wikidata":"https://www.wikidata.org/wiki/Q128751","display_name":"Source code","level":2,"score":0.4285629093647003},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.40289467573165894},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.36878877878189087},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36774444580078125},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.19163697957992554},{"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/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1956.1056824","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1956.1056824","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2368370270","https://openalex.org/W2373724792","https://openalex.org/W2385999557","https://openalex.org/W4248817909","https://openalex.org/W4367048510","https://openalex.org/W2164324468","https://openalex.org/W2057419801","https://openalex.org/W1543599621","https://openalex.org/W4320858865","https://openalex.org/W2337746918"],"abstract_inverted_index":{"A":[0],"set":[1],"of":[2,11,22,31,76,82,106],"black-and-white":[3],"patterns":[4,23],"can":[5,69,95,125],"be":[6,60,70,96,126],"identified":[7],"by":[8,72,121],"successive":[9],"sampling":[10,46,154],"the":[12,20,29,99,103,107,114,118,133,140,143],"individual":[13],"\"cells\"":[14],"which":[15,58,122],"constitute":[16],"these":[17],"patterns.":[18],"If":[19],"number":[21,30],"is":[24,33,39,88,117],"<tex":[25,34,50],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[26,35,51],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">P</tex>":[27],"and":[28,80,102,128,142,152],"cells":[32,57,68],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">C</tex>":[36],",":[37],"it":[38],"possible":[40],"to":[41],"find,":[42],"for":[43],"any":[44],"specified":[45],"sequence":[47],"at":[48],"least":[49],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">C":[52],"-":[53],"P":[54],"+":[55],"1</tex>":[56],"may":[59,145],"omitted":[61],"without":[62],"obstructing":[63],"unique":[64],"identification.":[65],"Such":[66],"redundant":[67],"found":[71],"two":[73],"methods:":[74],"Construction":[75],"a":[77,83,136],"\"code":[78,84],"mobile,\"":[79],"compilation":[81],"schedule.\"":[85],"The":[86,111],"\"mobile\"":[87,141],"useful":[89,148],"inasmuch":[90],"as":[91,147],"its":[92],"topological":[93],"characteristics":[94],"correlated":[97],"with":[98],"information":[100],"capabilities":[101],"inherent":[104],"redundancy":[105],"given":[108,137],"identification":[109],"process.":[110],"\"schedule,\"":[112],"on":[113],"other":[115],"hand,":[116],"numerical":[119],"means":[120],"practical":[123],"cases":[124],"rapidly":[127],"systematically":[129],"solved.":[130],"Besides":[131],"revealing":[132],"redundancies":[134],"in":[135,150],"set,":[138],"both":[139],"\"schedule\"":[144],"serve":[146],"tools":[149],"evaluating":[151],"designing":[153],"programs.":[155]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}