{"id":"https://openalex.org/W94784212","doi":"https://doi.org/10.1007/978-1-84996-108-0_16","title":"Geometric Characterization of \"Equation missing\" -Conformal Mappings","display_name":"Geometric Characterization of \"Equation missing\" -Conformal Mappings","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W94784212","doi":"https://doi.org/10.1007/978-1-84996-108-0_16","mag":"94784212"},"language":"en","primary_location":{"id":"doi:10.1007/978-1-84996-108-0_16","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-84996-108-0_16","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Geometric Algebra Computing","raw_type":"book-chapter"},"type":"book-chapter","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/A5082076222","display_name":"Klaus G\u00fcrlebeck","orcid":null},"institutions":[{"id":"https://openalex.org/I51441396","display_name":"Bauhaus-Universit\u00e4t Weimar","ror":"https://ror.org/033bb5z47","country_code":"DE","type":"education","lineage":["https://openalex.org/I51441396"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"K. G\u00fcrlebeck","raw_affiliation_strings":["Institut f\u00fcr Mathematik/Physik, Bauhaus-Universit\u00e4t Weimar, Coudraystr. 13B, 99421, Weimar, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik/Physik, Bauhaus-Universit\u00e4t Weimar, Coudraystr. 13B, 99421, Weimar, Germany","institution_ids":["https://openalex.org/I51441396"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088538349","display_name":"J. Morais","orcid":"https://orcid.org/0000-0001-7045-0224"},"institutions":[{"id":"https://openalex.org/I51441396","display_name":"Bauhaus-Universit\u00e4t Weimar","ror":"https://ror.org/033bb5z47","country_code":"DE","type":"education","lineage":["https://openalex.org/I51441396"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"J. Morais","raw_affiliation_strings":["Institut f\u00fcr Mathematik/Physik, Bauhaus-Universit\u00e4t Weimar, Coudraystr. 13B, 99421, Weimar, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik/Physik, Bauhaus-Universit\u00e4t Weimar, Coudraystr. 13B, 99421, Weimar, Germany","institution_ids":["https://openalex.org/I51441396"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5082076222"],"corresponding_institution_ids":["https://openalex.org/I51441396"],"apc_list":null,"apc_paid":null,"fwci":3.2393,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.89463019,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"327","last_page":"343"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10884","display_name":"Holomorphic and Operator Theory","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11822","display_name":"Analytic and geometric function theory","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/infinitesimal","display_name":"Infinitesimal","score":0.8355188369750977},{"id":"https://openalex.org/keywords/conformal-map","display_name":"Conformal map","score":0.8317428827285767},{"id":"https://openalex.org/keywords/jacobian-matrix-and-determinant","display_name":"Jacobian matrix and determinant","score":0.7978710532188416},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6775398254394531},{"id":"https://openalex.org/keywords/ellipsoid","display_name":"Ellipsoid","score":0.6707719564437866},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5967117547988892},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.5485450029373169},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5477504134178162},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4850708544254303},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.381801962852478},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.09873148798942566},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0869048535823822},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08418992161750793},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.053096890449523926}],"concepts":[{"id":"https://openalex.org/C91229774","wikidata":"https://www.wikidata.org/wiki/Q193885","display_name":"Infinitesimal","level":2,"score":0.8355188369750977},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.8317428827285767},{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.7978710532188416},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6775398254394531},{"id":"https://openalex.org/C57489055","wikidata":"https://www.wikidata.org/wiki/Q190046","display_name":"Ellipsoid","level":2,"score":0.6707719564437866},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5967117547988892},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.5485450029373169},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5477504134178162},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4850708544254303},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.381801962852478},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.09873148798942566},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0869048535823822},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08418992161750793},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.053096890449523926},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-1-84996-108-0_16","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-84996-108-0_16","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Geometric Algebra Computing","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Climate action","id":"https://metadata.un.org/sdg/13","score":0.46000000834465027}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W20098429","https://openalex.org/W100885770","https://openalex.org/W127894420","https://openalex.org/W607779947","https://openalex.org/W609772436","https://openalex.org/W613833556","https://openalex.org/W1558963619","https://openalex.org/W1561974326","https://openalex.org/W1976143294","https://openalex.org/W2032768807","https://openalex.org/W2063859719","https://openalex.org/W2077715452","https://openalex.org/W2097932236","https://openalex.org/W2222507912","https://openalex.org/W2294966345","https://openalex.org/W4249851362","https://openalex.org/W4251652949","https://openalex.org/W4300723455"],"related_works":["https://openalex.org/W2370598571","https://openalex.org/W2355499472","https://openalex.org/W2349230259","https://openalex.org/W2007405763","https://openalex.org/W2370818987","https://openalex.org/W3136087161","https://openalex.org/W2350226651","https://openalex.org/W1486373823","https://openalex.org/W3041607881","https://openalex.org/W4388444571"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
