{"id":"https://openalex.org/W2000523194","doi":"https://doi.org/10.1109/neurel.2010.5644099","title":"The self-similar numbers as a special case of cyclic numbers and their relation to the cyclic (genetic) codes","display_name":"The self-similar numbers as a special case of cyclic numbers and their relation to the cyclic (genetic) codes","publication_year":2010,"publication_date":"2010-09-01","ids":{"openalex":"https://openalex.org/W2000523194","doi":"https://doi.org/10.1109/neurel.2010.5644099","mag":"2000523194"},"language":"en","primary_location":{"id":"doi:10.1109/neurel.2010.5644099","doi":"https://doi.org/10.1109/neurel.2010.5644099","is_oa":false,"landing_page_url":"https://doi.org/10.1109/neurel.2010.5644099","pdf_url":null,"source":{"id":"https://openalex.org/S4306420988","display_name":"Symposium on Neural Network Applications in Electrical Engineering","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"10th Symposium on Neural Network Applications in Electrical Engineering","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","is_traditional":true,"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/A5048611626","display_name":"N.\u017d. Mi\u0161i\u0107","orcid":"https://orcid.org/0000-0002-8177-5734","observed_orcids":["https://orcid.org/0000-0002-8177-5734"]},"institutions":[{"id":"https://openalex.org/I4405266431","display_name":"Lola Institute","ror":"https://ror.org/02wz91h63","country_code":"RS","type":"facility","lineage":["https://openalex.org/I4405266431"]}],"countries":["RS"],"is_corresponding":true,"raw_author_name":"Natasa Z. Misic","raw_affiliation_strings":["Lola Institute, Belgrade, Serbia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lola Institute, Belgrade, Serbia","institution_ids":["https://openalex.org/I4405266431"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5048611626"],"corresponding_institution_ids":["https://openalex.org/I4405266431"],"apc_list":null,"apc_paid":null,"fwci":0.4258,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.7095219,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":null,"issue":null,"first_page":"97","last_page":"102"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.5776000022888184,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.5776000022888184,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12946","display_name":"Fractal and DNA sequence analysis","score":0.2563000023365021,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10521","display_name":"RNA and protein synthesis mechanisms","score":0.05119999870657921,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cyclic-numbers","display_name":"cyclic numbers","score":0.9760000109672546},{"id":"https://openalex.org/keywords/genetic-code","display_name":"genetic code","score":0.9229999780654907},{"id":"https://openalex.org/keywords/cyclic-codes","display_name":"cyclic codes","score":0.8460000157356262},{"id":"https://openalex.org/keywords/cyclotomic-polynomials","display_name":"cyclotomic polynomials","score":0.746999979019165},{"id":"https://openalex.org/keywords/discrete-self-similarity","display_name":"discrete self-similarity","score":0.9589999914169312},{"id":"https://openalex.org/keywords/fractal-structure","display_name":"fractal structure","score":0.7409999966621399},{"id":"https://openalex.org/keywords/optimal-coding","display_name":"optimal coding","score":0.7089999914169312},{"id":"https://openalex.org/keywords/nucleobases","display_name":"nucleobases","score":0.4300000071525574},{"id":"https://openalex.org/keywords/amino-acids","display_name":"amino acids","score":0.8190000057220459}],"concepts":[{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5923044085502625},{"id":"https://openalex.org/C10853874","wikidata":"https://www.wikidata.org/wiki/Q180618","display_name":"Genetic code","level":3,"score":0.5720376968383789},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5626229047775269},{"id":"https://openalex.org/C2096984","wikidata":"https://www.wikidata.org/wiki/Q245464","display_name":"Cyclic code","level":5,"score":0.5449260473251343},{"id":"https://openalex.org/C158245278","wikidata":"https://www.wikidata.org/wiki/Q4386982","display_name":"Equidistant","level":2,"score":0.5387538075447083},{"id":"https://openalex.org/C184264201","wikidata":"https://www.wikidata.org/wiki/Q21199","display_name":"Natural number","level":2,"score":0.5331211686134338},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5208307504653931},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.45311862230300903},{"id":"https://openalex.org/C153207627","wikidata":"https://www.wikidata.org/wiki/Q863873","display_name":"Code word","level":3,"score":0.43377813696861267},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42764461040496826},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.36247849464416504},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34513652324676514},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.32992154359817505},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2796962857246399},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.24464574456214905},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.18221738934516907},{"id":"https://openalex.org/C552990157","wikidata":"https://www.wikidata.org/wiki/Q7430","display_name":"DNA","level":2,"score":0.15389344096183777},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0987282395362854},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/neurel.2010.5644099","doi":"https://doi.org/10.1109/neurel.2010.5644099","is_oa":false,"landing_page_url":"https://doi.org/10.1109/neurel.2010.5644099","pdf_url":null,"source":{"id":"https://openalex.org/S4306420988","display_name":"Symposium on Neural Network Applications in Electrical Engineering","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"10th Symposium on Neural Network Applications in Electrical Engineering","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W10383603","https://openalex.org/W87627752","https://openalex.org/W101980259","https://openalex.org/W117233169","https://openalex.org/W306515700","https://openalex.org/W1502060396","https://openalex.org/W1523139553","https://openalex.org/W1545523075","https://openalex.org/W1596803638","https://openalex.org/W1971016713","https://openalex.org/W1978595049","https://openalex.org/W1980056440","https://openalex.org/W1980939657","https://openalex.org/W2005133715","https://openalex.org/W2017341442","https://openalex.org/W2020851207","https://openalex.org/W2024095058","https://openalex.org/W2043938026","https://openalex.org/W2046551774","https://openalex.org/W2066583210","https://openalex.org/W2081318946","https://openalex.org/W2100681850","https://openalex.org/W2111992817","https://openalex.org/W2133322225","https://openalex.org/W2153975721","https://openalex.org/W2264639163","https://openalex.org/W2403776742"],"related_works":["https://openalex.org/W1966532536","https://openalex.org/W4386756006","https://openalex.org/W2042388961","https://openalex.org/W4391814917","https://openalex.org/W2427714925","https://openalex.org/W2024616566","https://openalex.org/W4403303444","https://openalex.org/W2596083030","https://openalex.org/W187843314","https://openalex.org/W7080174399"],"abstract_inverted_index":{"The":[0,23,94],"genetic":[1,35,143,174],"code":[2,36,144],"is":[3,25,75,102,113,129,138,145,164],"analyzed":[4],"as":[5,13,153,176,178],"one":[6,165],"of":[7,20,34,41,71,73,85,100,166,169,172],"the":[8,17,31,38,45,56,124,134,142,160,167,173,179,184],"major":[9],"natural":[10],"codes,":[11,136],"which":[12,112,137],"such":[14],"can":[15],"reveal":[16],"deeper":[18],"principles":[19,168],"optimal":[21],"coding.":[22],"analysis":[24],"based":[26],"on":[27],"a":[28,60,82,154],"discovery":[29],"that":[30,79,141,159],"symmetrical":[32],"architecture":[33],"and":[37,50,77,90,106],"nucleon":[39],"number":[40,58],"its":[42],"constituents":[43],"-":[44],"free":[46],"canonical":[47],"amino":[48],"acids":[49],"bases,":[51],"are":[52,92],"strictly":[53],"determined":[54],"by":[55,111],"prime":[57],"with":[59,104,117,133,139],"cycling":[61],"digit":[62],"property":[63],"-037.":[64],"A":[65],"detailed":[66],"derivation":[67],"for":[68,98],"all":[69],"types":[70],"analogues":[72,99],"037":[74,101],"given":[76,130],"shown":[78,114],"they":[80],"represent":[81],"special":[83],"case":[84],"cyclic":[86,135,155],"numbers":[87],"whose":[88],"digits":[89],"multipliers":[91],"equidistant.":[93],"derived":[95],"generic":[96],"formula":[97],"correlated":[103],"cyclotomic":[105],"generalized":[107],"Golden":[108],"Mean":[109],"polynomials,":[110],"their":[115,131],"relation":[116],"discrete":[118],"self-similarity,":[119],"why":[120],"author":[121],"named":[122],"them":[123],"Self-similar":[125],"Numbers.":[126],"Also":[127],"it":[128],"relationship":[132],"fact":[140],"arranged":[146],"in":[147,183],"multiple":[148],"ways":[149],"at":[150],"different":[151],"levels":[152],"code,":[156,175],"generally":[157],"indicate":[158],"hierarchically":[161],"nested":[162],"cyclicality":[163],"fractal":[170],"organization":[171],"well":[177],"other":[180],"organic":[181],"codes":[182],"living":[185],"organisms.":[186]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}
