{"id":"https://openalex.org/W1515021858","doi":"https://doi.org/10.1007/s10817-009-9162-5","title":"Visually Dynamic Presentation of Proofs in Plane Geometry","display_name":"Visually Dynamic Presentation of Proofs in Plane Geometry","publication_year":2009,"publication_date":"2009-12-17","ids":{"openalex":"https://openalex.org/W1515021858","doi":"https://doi.org/10.1007/s10817-009-9162-5","mag":"1515021858"},"language":"en","primary_location":{"id":"doi:10.1007/s10817-009-9162-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10817-009-9162-5","pdf_url":null,"source":{"id":"https://openalex.org/S99781599","display_name":"Journal of Automated Reasoning","issn_l":"0168-7433","issn":["0168-7433","1573-0670"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Automated Reasoning","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/A5101538413","display_name":"Zheng Ye","orcid":"https://orcid.org/0000-0001-6715-0183"},"institutions":[{"id":"https://openalex.org/I168879160","display_name":"Zhejiang University of Science and Technology","ror":"https://ror.org/05mx0wr29","country_code":"CN","type":"education","lineage":["https://openalex.org/I168879160"]},{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zheng Ye","raw_affiliation_strings":["College of Computer Science and Technology, Zhejiang University, Hangzhou, China","[College of Computer Science and Technology, Zhejiang University, HangZhou, China]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer Science and Technology, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I168879160"]},{"raw_affiliation_string":"[College of Computer Science and Technology, Zhejiang University, HangZhou, China]","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113508954","display_name":"Shang-Ching Chou","orcid":null},"institutions":[{"id":"https://openalex.org/I39587148","display_name":"Wichita State University","ror":"https://ror.org/00c4e7y75","country_code":"US","type":"education","lineage":["https://openalex.org/I39587148"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shang-Ching Chou","raw_affiliation_strings":["Department of Computer Science, Wichita State University, Wichita, KS, 67220, USA","Department of Computer Science, Wichita State University, Wichita, USA 67220#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Wichita State University, Wichita, KS, 67220, USA","institution_ids":["https://openalex.org/I39587148"]},{"raw_affiliation_string":"Department of Computer Science, Wichita State University, Wichita, USA 67220#TAB#","institution_ids":["https://openalex.org/I39587148"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017479931","display_name":"Xiao-Shan Gao","orcid":"https://orcid.org/0000-0003-2021-9395"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao-Shan Gao","raw_affiliation_strings":["KLMM, Institute of Systems Science, The Chinese Academy of Sciences, Beijing, China","KLMM, Institute of Systems Science, The Chinese Academy of Sciences, Beijing, China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"KLMM, Institute of Systems Science, The Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I19820366"]},{"raw_affiliation_string":"KLMM, Institute of Systems Science, The Chinese Academy of Sciences, Beijing, China#TAB#","institution_ids":["https://openalex.org/I19820366"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101538413"],"corresponding_institution_ids":["https://openalex.org/I168879160","https://openalex.org/I76130692"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":1.5614,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.81431025,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"45","issue":"3","first_page":"213","last_page":"241"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9793999791145325,"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"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.954800009727478,"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/mathematical-proof","display_name":"Mathematical proof","score":0.8855963945388794},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7220166325569153},{"id":"https://openalex.org/keywords/diagram","display_name":"Diagram","score":0.6419843435287476},{"id":"https://openalex.org/keywords/presentation","display_name":"Presentation (obstetrics)","score":0.6400529146194458},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.47107425332069397},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.45037662982940674},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.38936764001846313},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17000091075897217}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.8855963945388794},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7220166325569153},{"id":"https://openalex.org/C186399060","wikidata":"https://www.wikidata.org/wiki/Q959962","display_name":"Diagram","level":2,"score":0.6419843435287476},{"id":"https://openalex.org/C2777601897","wikidata":"https://www.wikidata.org/wiki/Q3409113","display_name":"Presentation (obstetrics)","level":2,"score":0.6400529146194458},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.47107425332069397},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.45037662982940674},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.38936764001846313},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17000091075897217},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10817-009-9162-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10817-009-9162-5","pdf_url":null,"source":{"id":"https://openalex.org/S99781599","display_name":"Journal of Automated Reasoning","issn_l":"0168-7433","issn":["0168-7433","1573-0670"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Automated Reasoning","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.46000000834465027,"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9"},{"score":0.4000000059604645,"display_name":"Partnerships for the goals","id":"https://metadata.un.org/sdg/17"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W145236249","https://openalex.org/W161392887","https://openalex.org/W180282343","https://openalex.org/W581920082","https://openalex.org/W628113161","https://openalex.org/W1498524840","https://openalex.org/W1513012150","https://openalex.org/W1528699932","https://openalex.org/W1531422099","https://openalex.org/W1539158407","https://openalex.org/W1548163180","https://openalex.org/W1550538908","https://openalex.org/W1556910403","https://openalex.org/W1558198085","https://openalex.org/W1577951736","https://openalex.org/W1588725641","https://openalex.org/W1593084224","https://openalex.org/W1604826792","https://openalex.org/W1628475528","https://openalex.org/W1821199070","https://openalex.org/W1932092304","https://openalex.org/W1981255379","https://openalex.org/W1983598602","https://openalex.org/W2007074311","https://openalex.org/W2022751246","https://openalex.org/W2026253506","https://openalex.org/W2035169567","https://openalex.org/W2038706071","https://openalex.org/W2066365568","https://openalex.org/W2070646413","https://openalex.org/W2074289218","https://openalex.org/W2091926481","https://openalex.org/W2120243289","https://openalex.org/W2125565018","https://openalex.org/W2126671577","https://openalex.org/W2144907233","https://openalex.org/W2176591715","https://openalex.org/W2476129257","https://openalex.org/W2500334526","https://openalex.org/W2607250687","https://openalex.org/W2745274518","https://openalex.org/W2762770850","https://openalex.org/W2798269939","https://openalex.org/W2803506036","https://openalex.org/W3143504415","https://openalex.org/W3158633990","https://openalex.org/W4235274833","https://openalex.org/W4242609457","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2808944898","https://openalex.org/W3196207352","https://openalex.org/W2951724202","https://openalex.org/W3084261076","https://openalex.org/W4387820098","https://openalex.org/W1996614773","https://openalex.org/W2576399385","https://openalex.org/W2963408011","https://openalex.org/W4236324517","https://openalex.org/W2549201271"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
