{"id":"https://openalex.org/W2231204350","doi":"https://doi.org/10.1007/978-3-319-21819-9_6","title":"Computations with Grossone-Based Infinities","display_name":"Computations with Grossone-Based Infinities","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2231204350","doi":"https://doi.org/10.1007/978-3-319-21819-9_6","mag":"2231204350"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-21819-9_6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-21819-9_6","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","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/A5085417391","display_name":"Yaroslav D. Sergeyev","orcid":"https://orcid.org/0000-0002-1429-069X"},"institutions":[{"id":"https://openalex.org/I45204951","display_name":"University of Calabria","ror":"https://ror.org/02rc97e94","country_code":"IT","type":"education","lineage":["https://openalex.org/I45204951"]},{"id":"https://openalex.org/I79563041","display_name":"N. I. Lobachevsky State University of Nizhny Novgorod","ror":"https://ror.org/01bb1zm18","country_code":"RU","type":"education","lineage":["https://openalex.org/I79563041"]},{"id":"https://openalex.org/I3005160176","display_name":"Institute for High Performance Computing and Networking","ror":"https://ror.org/04r5fge26","country_code":"IT","type":"facility","lineage":["https://openalex.org/I3005160176","https://openalex.org/I4210155236"]}],"countries":["IT","RU"],"is_corresponding":true,"raw_author_name":"Yaroslav D. Sergeyev","raw_affiliation_strings":["Institute of High Performance Computing and Networking, C.N.R., Naples, Italy","Lobatchevsky State University, Nizhni Novgorod, Russia","University of Calabria, Rende, Italy"],"affiliations":[{"raw_affiliation_string":"Institute of High Performance Computing and Networking, C.N.R., Naples, Italy","institution_ids":["https://openalex.org/I3005160176"]},{"raw_affiliation_string":"Lobatchevsky State University, Nizhni Novgorod, Russia","institution_ids":["https://openalex.org/I79563041"]},{"raw_affiliation_string":"University of Calabria, Rende, Italy","institution_ids":["https://openalex.org/I45204951"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5085417391"],"corresponding_institution_ids":["https://openalex.org/I3005160176","https://openalex.org/I45204951","https://openalex.org/I79563041"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":5.5471,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.9747557,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"89","last_page":"106"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9998999834060669,"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9998999834060669,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.980400025844574,"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/T12170","display_name":"History and Theory of Mathematics","score":0.9642000198364258,"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/computer-science","display_name":"Computer science","score":0.7964084148406982},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6168161034584045},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.32743513584136963},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.3058111071586609}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7964084148406982},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6168161034584045},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.32743513584136963},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.3058111071586609}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-21819-9_6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-21819-9_6","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","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":50,"referenced_works":["https://openalex.org/W65162280","https://openalex.org/W100825465","https://openalex.org/W215752064","https://openalex.org/W757085332","https://openalex.org/W1584212044","https://openalex.org/W1656934358","https://openalex.org/W1750691555","https://openalex.org/W1929705262","https://openalex.org/W1940181284","https://openalex.org/W1967678995","https://openalex.org/W1977767576","https://openalex.org/W1989257491","https://openalex.org/W1998146115","https://openalex.org/W1999726675","https://openalex.org/W1999750197","https://openalex.org/W2004431250","https://openalex.org/W2007331564","https://openalex.org/W2018197623","https://openalex.org/W2023018700","https://openalex.org/W2026762798","https://openalex.org/W2029091807","https://openalex.org/W2044348175","https://openalex.org/W2052722933","https://openalex.org/W2053138397","https://openalex.org/W2061178475","https://openalex.org/W2064427497","https://openalex.org/W2070664737","https://openalex.org/W2093499949","https://openalex.org/W2097042704","https://openalex.org/W2100635047","https://openalex.org/W2108366041","https://openalex.org/W2116117196","https://openalex.org/W2132200584","https://openalex.org/W2149993602","https://openalex.org/W2155257994","https://openalex.org/W2158928062","https://openalex.org/W2161960904","https://openalex.org/W2170066445","https://openalex.org/W2186222276","https://openalex.org/W2403005877","https://openalex.org/W2501639037","https://openalex.org/W2525243936","https://openalex.org/W2963595960","https://openalex.org/W3112841328","https://openalex.org/W3118577122","https://openalex.org/W3136379810","https://openalex.org/W4232076615","https://openalex.org/W4237970627","https://openalex.org/W4255749072","https://openalex.org/W6609251597"],"related_works":["https://openalex.org/W4243252198","https://openalex.org/W2135396778","https://openalex.org/W1527862632","https://openalex.org/W2118300983","https://openalex.org/W2112962394","https://openalex.org/W3137189469","https://openalex.org/W2740990710","https://openalex.org/W4235530921","https://openalex.org/W2354062721","https://openalex.org/W2382501300"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
