{"id":"https://openalex.org/W4280542560","doi":"https://doi.org/10.1080/00029890.2022.2061281","title":"A Number System with Base","display_name":"A Number System with Base","publication_year":2022,"publication_date":"2022-05-10","ids":{"openalex":"https://openalex.org/W4280542560","doi":"https://doi.org/10.1080/00029890.2022.2061281"},"language":"en","primary_location":{"id":"doi:10.1080/00029890.2022.2061281","is_oa":true,"landing_page_url":"https://doi.org/10.1080/00029890.2022.2061281","pdf_url":"https://www.tandfonline.com/doi/pdf/10.1080/00029890.2022.2061281?needAccess=true","source":{"id":"https://openalex.org/S156280010","display_name":"American Mathematical Monthly","issn_l":"0002-9890","issn":["0002-9890","1930-0972"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The American Mathematical Monthly","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.tandfonline.com/doi/pdf/10.1080/00029890.2022.2061281?needAccess=true","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057086911","display_name":"Luc\u00eda Rossi","orcid":"https://orcid.org/0000-0002-9613-2926"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Luc\u00eda Rossi","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-9613-2926","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5020243260","display_name":"J\u00f6rg \u039c. Thuswaldner","orcid":"https://orcid.org/0000-0001-5308-762X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J\u00f6rg M. Thuswaldner","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-5308-762X","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3896,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.50170815,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"129","issue":"6","first_page":"539","last_page":"553"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13234","display_name":"advanced mathematical theories","score":0.9990000128746033,"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/T13234","display_name":"advanced mathematical theories","score":0.9990000128746033,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9988999962806702,"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/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/base","display_name":"Base (topology)","score":0.6892298460006714},{"id":"https://openalex.org/keywords/decimal","display_name":"Decimal","score":0.6648848056793213},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5822955369949341},{"id":"https://openalex.org/keywords/fractal","display_name":"Fractal","score":0.5661590695381165},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.5398435592651367},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5258073210716248},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.42304643988609314},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.372112512588501},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33833181858062744},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.32810884714126587},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28732728958129883},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2728983163833618},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09390699863433838},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.05312579870223999}],"concepts":[{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.6892298460006714},{"id":"https://openalex.org/C65045869","wikidata":"https://www.wikidata.org/wiki/Q81365","display_name":"Decimal","level":2,"score":0.6648848056793213},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5822955369949341},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.5661590695381165},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5398435592651367},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5258073210716248},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.42304643988609314},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.372112512588501},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33833181858062744},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.32810884714126587},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28732728958129883},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2728983163833618},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09390699863433838},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.05312579870223999},{"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:10.1080/00029890.2022.2061281","is_oa":true,"landing_page_url":"https://doi.org/10.1080/00029890.2022.2061281","pdf_url":"https://www.tandfonline.com/doi/pdf/10.1080/00029890.2022.2061281?needAccess=true","source":{"id":"https://openalex.org/S156280010","display_name":"American Mathematical Monthly","issn_l":"0002-9890","issn":["0002-9890","1930-0972"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The American Mathematical Monthly","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1080/00029890.2022.2061281","is_oa":true,"landing_page_url":"https://doi.org/10.1080/00029890.2022.2061281","pdf_url":"https://www.tandfonline.com/doi/pdf/10.1080/00029890.2022.2061281?needAccess=true","source":{"id":"https://openalex.org/S156280010","display_name":"American Mathematical Monthly","issn_l":"0002-9890","issn":["0002-9890","1930-0972"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The American Mathematical Monthly","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4280542560.pdf","grobid_xml":"https://content.openalex.org/works/W4280542560.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W1974037599","https://openalex.org/W1986554231","https://openalex.org/W2007936892","https://openalex.org/W2012740522","https://openalex.org/W2046269549","https://openalex.org/W2059098568","https://openalex.org/W2068598840","https://openalex.org/W2089164015","https://openalex.org/W2095035126","https://openalex.org/W2099317248","https://openalex.org/W2123584791","https://openalex.org/W2124301002","https://openalex.org/W2155254221","https://openalex.org/W2317972523","https://openalex.org/W2752061190","https://openalex.org/W2963140056","https://openalex.org/W2964031434","https://openalex.org/W4234675635","https://openalex.org/W4249775755","https://openalex.org/W6629906492","https://openalex.org/W6669417358"],"related_works":["https://openalex.org/W2516369861","https://openalex.org/W2583282924","https://openalex.org/W177032641","https://openalex.org/W2502533382","https://openalex.org/W1509821518","https://openalex.org/W1967012415","https://openalex.org/W2961151343","https://openalex.org/W2468097068","https://openalex.org/W3028928340","https://openalex.org/W279796016"],"abstract_inverted_index":{"In":[0],"the":[1,14,18,33,53,83],"present":[2],"article":[3],"we":[4],"explore":[5],"a":[6,60,68,71],"way":[7],"to":[8,13,52,59,67,78,82],"represent":[9],"numbers":[10],"with":[11,32],"respect":[12],"base":[15],"\u221232":[16],"using":[17],"set":[19,63],"of":[20,55,70],"digits":[21],"{0,":[22],"1,":[23],"2}.":[24],"Although":[25],"this":[26],"number":[27],"system":[28],"shares":[29],"several":[30],"properties":[31],"classical":[34],"decimal":[35],"system,":[36],"it":[37,49,75],"shows":[38],"some":[39],"remarkable":[40],"differences":[41],"and":[42,58,81],"reveals":[43],"interesting":[44],"new":[45],"features.":[46],"For":[47],"instance,":[48],"is":[50],"related":[51],"field":[54],"2-adic":[56],"numbers,":[57],"self-affine":[61],"\u201cfractal\u201d":[62],"that":[64],"gives":[65],"rise":[66],"tiling":[69],"non-Euclidean":[72],"space.":[73],"Moreover,":[74],"has":[76],"relations":[77],"Mahler\u2019s":[79],"32-problem":[80],"Josephus":[84],"problem.":[85]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-20T20:08:15.867695","created_date":"2025-10-10T00:00:00"}
