{"id":"https://openalex.org/W2390700995","doi":null,"title":"Superior Julia Set","display_name":"Superior Julia Set","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2390700995","mag":"2390700995"},"language":"en","primary_location":{"id":"mag:2390700995","doi":null,"is_oa":false,"landing_page_url":"http://www.koreascience.or.kr/article/ArticleFullRecord.jsp?cn=SHGHEN_2004_v8n4_261","pdf_url":null,"source":{"id":"https://openalex.org/S4306525849","display_name":"Research in Mathematical Education","issn_l":"1226-6191","issn":["1226-6191","2287-9943"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Research in Mathematical Education","raw_type":null},"volume":null,"type":"article","indexed_in":[],"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/A5028254978","display_name":"Mamta Rani","orcid":"https://orcid.org/0000-0002-3075-3957","observed_orcids":["https://orcid.org/0000-0002-3075-3957"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mamta Rani","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-3075-3957","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5035405247","display_name":"Vinod Kumar","orcid":"https://orcid.org/0000-0002-2939-1100","observed_orcids":["https://orcid.org/0000-0002-2939-1100"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Vinod Kumar","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-2939-1100","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.1831,"has_fulltext":false,"cited_by_count":75,"citation_normalized_percentile":{"value":0.86767896,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"8","issue":"4","first_page":"261","last_page":"277"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9984999895095825,"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":0.9984999895095825,"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/T13806","display_name":"Mathematical and Computational Methods","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/julia-sets","display_name":"Julia sets","score":0.9959999918937683},{"id":"https://openalex.org/keywords/filled-julia-set","display_name":"filled Julia set","score":0.9710000157356262},{"id":"https://openalex.org/keywords/mann-iteration","display_name":"Mann iteration","score":0.9150000214576721},{"id":"https://openalex.org/keywords/picard-iteration","display_name":"Picard iteration","score":0.8450000286102295},{"id":"https://openalex.org/keywords/complex-polynomials","display_name":"complex polynomials","score":0.9729999899864197},{"id":"https://openalex.org/keywords/iterative-methods","display_name":"iterative methods","score":0.421999990940094},{"id":"https://openalex.org/keywords/complex-dynamics","display_name":"complex dynamics","score":0.503000020980835}],"concepts":[{"id":"https://openalex.org/C187619975","wikidata":"https://www.wikidata.org/wiki/Q848427","display_name":"Julia set","level":2,"score":0.9610371589660645},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6654171347618103},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4998183250427246},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44428762793540955},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.43062734603881836},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.41412997245788574},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28980982303619385},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.22696414589881897},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.06989511847496033},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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":"mag:2390700995","doi":null,"is_oa":false,"landing_page_url":"http://www.koreascience.or.kr/article/ArticleFullRecord.jsp?cn=SHGHEN_2004_v8n4_261","pdf_url":null,"source":{"id":"https://openalex.org/S4306525849","display_name":"Research in Mathematical Education","issn_l":"1226-6191","issn":["1226-6191","2287-9943"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Research in Mathematical Education","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3014450152","https://openalex.org/W4412703983","https://openalex.org/W4402489250","https://openalex.org/W3179896131","https://openalex.org/W3022452972","https://openalex.org/W4408722906","https://openalex.org/W2352978371","https://openalex.org/W7047845704","https://openalex.org/W4226072271","https://openalex.org/W4385709274"],"abstract_inverted_index":{"Julia":[0,30,66,76],"sets,":[1],"their":[2,55],"variants":[3],"and":[4,70,84],"generalizations":[5],"have":[6],"been":[7],"studied":[8],"extensively":[9],"by":[10],"using":[11],"the":[12,27,44,82],"Picard":[13],"iterations.":[14],"The":[15],"purpose":[16],"of":[17,29,73,86],"this":[18,37],"paper":[19],"is":[20],"to":[21,36,54,63,80],"introduce":[22],"Mann":[23],"iterative":[24],"procedure":[25],"in":[26,43],"study":[28],"sets.":[31,67],"Escape":[32],"criterions":[33,49],"with":[34],"respect":[35],"process":[38],"are":[39,50,61,78],"obtained":[40],"for":[41],"polynomials":[42],"complex":[45],"plane.":[46],"New":[47],"escape":[48],"significantly":[51],"much":[52],"superior":[53],"corresponding":[56],"cousins.":[57],"Further,":[58],"new":[59,74,88],"algorithms":[60],"devised":[62],"compute":[64],"filled":[65,75],"Some":[68],"beautiful":[69],"exciting":[71],"figures":[72],"sets":[77],"included":[79],"show":[81],"power":[83],"fascination":[85],"our":[87],"venture.":[89]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":10}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2016-06-24T00:00:00"}