{"id":"https://openalex.org/W2010161521","doi":"https://doi.org/10.3103/s0146411613070158","title":"Balls in sequence spaces","display_name":"Balls in sequence spaces","publication_year":2013,"publication_date":"2013-12-01","ids":{"openalex":"https://openalex.org/W2010161521","doi":"https://doi.org/10.3103/s0146411613070158","mag":"2010161521"},"language":"en","primary_location":{"id":"doi:10.3103/s0146411613070158","is_oa":false,"landing_page_url":"https://doi.org/10.3103/s0146411613070158","pdf_url":null,"source":{"id":"https://openalex.org/S17203304","display_name":"Automatic Control and Computer Sciences","issn_l":"0146-4116","issn":["0146-4116","1558-108X"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automatic Control and Computer Sciences","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/A5041052792","display_name":"\u0415. \u0410. \u0422\u0438\u043c\u043e\u0444\u0435\u0435\u0432","orcid":"https://orcid.org/0000-0002-3094-4390"},"institutions":[{"id":"https://openalex.org/I198371094","display_name":"Yaroslavl State University","ror":"https://ror.org/044s2fj67","country_code":"RU","type":"education","lineage":["https://openalex.org/I198371094"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"E. A. Timofeev","raw_affiliation_strings":["Yaroslavl State University, Yaroslavl, Russia","Yaroslavl State University#TAB#"],"affiliations":[{"raw_affiliation_string":"Yaroslavl State University, Yaroslavl, Russia","institution_ids":["https://openalex.org/I198371094"]},{"raw_affiliation_string":"Yaroslavl State University#TAB#","institution_ids":["https://openalex.org/I198371094"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5041052792"],"corresponding_institution_ids":["https://openalex.org/I198371094"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08481463,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"47","issue":"7","first_page":"495","last_page":"499"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T14438","display_name":"Advanced Scientific Research Methods","score":0.9697999954223633,"subfield":{"id":"https://openalex.org/subfields/1106","display_name":"Food Science"},"field":{"id":"https://openalex.org/fields/11","display_name":"Agricultural and Biological Sciences"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.964900016784668,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/ball","display_name":"Ball (mathematics)","score":0.7353652119636536},{"id":"https://openalex.org/keywords/alphabet","display_name":"Alphabet","score":0.719035804271698},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.703107476234436},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5331190228462219},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5179675817489624},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.49465128779411316},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4837815463542938},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47473081946372986},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.41174086928367615},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3130316138267517},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17846569418907166},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.0904654860496521}],"concepts":[{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.7353652119636536},{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.719035804271698},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.703107476234436},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5331190228462219},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5179675817489624},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.49465128779411316},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4837815463542938},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47473081946372986},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.41174086928367615},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3130316138267517},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17846569418907166},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0904654860496521},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3103/s0146411613070158","is_oa":false,"landing_page_url":"https://doi.org/10.3103/s0146411613070158","pdf_url":null,"source":{"id":"https://openalex.org/S17203304","display_name":"Automatic Control and Computer Sciences","issn_l":"0146-4116","issn":["0146-4116","1558-108X"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automatic Control and Computer Sciences","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":7,"referenced_works":["https://openalex.org/W1877338028","https://openalex.org/W1912497050","https://openalex.org/W1968497309","https://openalex.org/W2063523065","https://openalex.org/W2083053525","https://openalex.org/W2143348580","https://openalex.org/W4300958603"],"related_works":["https://openalex.org/W2074481494","https://openalex.org/W4250156143","https://openalex.org/W4247156967","https://openalex.org/W2808006995","https://openalex.org/W582626623","https://openalex.org/W4240940369","https://openalex.org/W4298850403","https://openalex.org/W2808496111","https://openalex.org/W4233641337","https://openalex.org/W4297851895"],"abstract_inverted_index":{"A":[0],"new":[1],"metric":[2,18],"on":[3],"a":[4,12,34,44],"space":[5],"of":[6,24,28,36,43,53,60],"right-sided":[7],"infinite":[8],"sequences":[9],"drawn":[10],"from":[11],"finite":[13],"alphabet":[14],"is":[15,46,57],"proposed.":[16],"This":[17],"was":[19],"introduced":[20],"in":[21],"the":[22,26,41,58,61],"problem":[23],"estimating":[25],"entropy":[27],"discrete":[29],"stationary":[30],"processes.":[31],"It":[32],"has":[33],"number":[35],"interesting":[37],"properties.":[38],"For":[39],"example,":[40],"measure":[42],"ball":[45],"discontinuous":[47],"at":[48],"any":[49],"binary":[50],"rational":[51],"value":[52],"logr,":[54],"where":[55],"r":[56],"radius":[59],"ball.":[62]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}