{"id":"https://openalex.org/W4229485002","doi":"https://doi.org/10.1007/978-3-7091-6280-4_1","title":"Introduction","display_name":"Introduction","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W4229485002","doi":"https://doi.org/10.1007/978-3-7091-6280-4_1"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-7091-6280-4_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-7091-6280-4_1","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symbolic Algebraic Methods and Verification Methods","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/A5045409083","display_name":"G. Alefeld","orcid":null},"institutions":[{"id":"https://openalex.org/I4210123467","display_name":"Institut f\u00fcr Angewandte Statistik","ror":"https://ror.org/03abd2075","country_code":"DE","type":"facility","lineage":["https://openalex.org/I4210123467"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"G. Alefeld","raw_affiliation_strings":["Institut f\u00fbr Angewandte Mathematik, Universit\u00fct Karlsruhe, Deutschland","Karlsruhe, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fbr Angewandte Mathematik, Universit\u00fct Karlsruhe, Deutschland","institution_ids":["https://openalex.org/I4210123467"]},{"raw_affiliation_string":"Karlsruhe, Germany","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057467856","display_name":"J. Rohn","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J. Rohn","raw_affiliation_strings":["Mathematisch-Physikalische Fakult\u00fct, Universit\u00fct Karlovy, Prag, Tschechien, Czech Republic","Prague, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematisch-Physikalische Fakult\u00fct, Universit\u00fct Karlovy, Prag, Tschechien, Czech Republic","institution_ids":[]},{"raw_affiliation_string":"Prague, Czech Republic","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002864683","display_name":"S. M. Rump","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S. M. Rump","raw_affiliation_strings":["Hamburg, Germany","Technische Informatik III, Technische Universit\u00fct Hamburg, Deutschland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hamburg, Germany","institution_ids":[]},{"raw_affiliation_string":"Technische Informatik III, Technische Universit\u00fct Hamburg, Deutschland","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001970839","display_name":"T. Yamamoto","orcid":null},"institutions":[{"id":"https://openalex.org/I43545212","display_name":"Ehime University","ror":"https://ror.org/017hkng22","country_code":"JP","type":"education","lineage":["https://openalex.org/I43545212"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"T. Yamamoto","raw_affiliation_strings":["Department of Mathematical Science, Ehime University, Matsuyama, Japan","Matsuyama, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Science, Ehime University, Matsuyama, Japan","institution_ids":["https://openalex.org/I43545212"]},{"raw_affiliation_string":"Matsuyama, Japan","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.36777108,"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":"2"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.35260000824928284,"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"}},"topics":[{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.35260000824928284,"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/T12797","display_name":"History of Computing Technologies","score":0.06069999933242798,"subfield":{"id":"https://openalex.org/subfields/1706","display_name":"Computer Science Applications"},"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/T12170","display_name":"History and Theory of Mathematics","score":0.01850000023841858,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"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/arithmetic","display_name":"Arithmetic","score":0.6198644042015076},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5546313524246216},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.530394434928894},{"id":"https://openalex.org/keywords/floating-point","display_name":"Floating point","score":0.5095500946044922},{"id":"https://openalex.org/keywords/disadvantage","display_name":"Disadvantage","score":0.4946093261241913},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34576642513275146},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23002296686172485},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07070225477218628},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.04855653643608093}],"concepts":[{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.6198644042015076},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5546313524246216},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.530394434928894},{"id":"https://openalex.org/C84211073","wikidata":"https://www.wikidata.org/wiki/Q117879","display_name":"Floating point","level":2,"score":0.5095500946044922},{"id":"https://openalex.org/C2777673361","wikidata":"https://www.wikidata.org/wiki/Q5281228","display_name":"Disadvantage","level":2,"score":0.4946093261241913},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34576642513275146},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23002296686172485},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07070225477218628},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.04855653643608093}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-7091-6280-4_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-7091-6280-4_1","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symbolic Algebraic Methods and Verification Methods","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2376381135","https://openalex.org/W2362400792","https://openalex.org/W2788891846","https://openalex.org/W2355688170","https://openalex.org/W4255129386","https://openalex.org/W2025161972","https://openalex.org/W1978352992","https://openalex.org/W1988006935","https://openalex.org/W2119414612","https://openalex.org/W2268486090"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2022-05-11T00:00:00"}
