{"id":"https://openalex.org/W2063372180","doi":"https://doi.org/10.1109/icics.2011.6174223","title":"Existence and uniqueness of solution to second-order interpolation problem via topological degree theory","display_name":"Existence and uniqueness of solution to second-order interpolation problem via topological degree theory","publication_year":2011,"publication_date":"2011-12-01","ids":{"openalex":"https://openalex.org/W2063372180","doi":"https://doi.org/10.1109/icics.2011.6174223","mag":"2063372180"},"language":"en","primary_location":{"id":"doi:10.1109/icics.2011.6174223","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icics.2011.6174223","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 8th International Conference on Information, Communications &amp; Signal Processing","raw_type":"proceedings-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/A5003120011","display_name":"Yohei Kuroiwa","orcid":null},"institutions":[{"id":"https://openalex.org/I4210146782","display_name":"Ebina General Hospital","ror":"https://ror.org/04j3mpm77","country_code":"JP","type":"healthcare","lineage":["https://openalex.org/I4210146782"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Yohei Kuroiwa","raw_affiliation_strings":["5-9, Hamadacho, Ebina, Kanagawa, Japan"],"affiliations":[{"raw_affiliation_string":"5-9, Hamadacho, Ebina, Kanagawa, Japan","institution_ids":["https://openalex.org/I4210146782"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5003120011"],"corresponding_institution_ids":["https://openalex.org/I4210146782"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14768959,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9994999766349792,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/uniqueness","display_name":"Uniqueness","score":0.8655412197113037},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.8304033279418945},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.7231916785240173},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6776335835456848},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5497848391532898},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5398148894309998},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4240246117115021},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.31215497851371765},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2735143303871155},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10658517479896545},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10658290982246399},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05080139636993408}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.8655412197113037},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.8304033279418945},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7231916785240173},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6776335835456848},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5497848391532898},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5398148894309998},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4240246117115021},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31215497851371765},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2735143303871155},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10658517479896545},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10658290982246399},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05080139636993408},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icics.2011.6174223","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icics.2011.6174223","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 8th International Conference on Information, Communications &amp; Signal Processing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.550000011920929,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1498334350","https://openalex.org/W1999185746","https://openalex.org/W2090963365","https://openalex.org/W4299512035"],"related_works":["https://openalex.org/W571281153","https://openalex.org/W2949403936","https://openalex.org/W4301247218","https://openalex.org/W3023806604","https://openalex.org/W2952139525","https://openalex.org/W2129818458","https://openalex.org/W4289551052","https://openalex.org/W4390756076","https://openalex.org/W4243074410","https://openalex.org/W2969742028"],"abstract_inverted_index":{"The":[0],"existence":[1],"and":[2],"uniqueness":[3],"of":[4,16],"the":[5,8],"solution":[6],"to":[7],"second-order":[9],"interpolation":[10],"problem":[11],"is":[12],"proved":[13],"in":[14],"terms":[15],"topological":[17],"degree":[18],"theory.":[19]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
