{"id":"https://openalex.org/W2045372952","doi":"https://doi.org/10.1007/s002000100078","title":"Size Functions and Formal Series","display_name":"Size Functions and Formal Series","publication_year":2001,"publication_date":"2001-08-01","ids":{"openalex":"https://openalex.org/W2045372952","doi":"https://doi.org/10.1007/s002000100078","mag":"2045372952"},"language":"en","primary_location":{"id":"doi:10.1007/s002000100078","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s002000100078","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"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":"Applicable Algebra in Engineering, Communication and Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/11380/306970","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045329472","display_name":"Patrizio Frosini","orcid":"https://orcid.org/0000-0001-6711-1926"},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Patrizio Frosini","raw_affiliation_strings":["Universit\u00e0 di Bologna, Dipartimento di Matematica, P.zza Porta San Donato, 5, 40127 Bologna, Italia, and C.I.R.A.M \u2013 Bologna (e-mail: frosini@dm.unibo.it), , , , , , IT","Universit\u00e0 di Bologna, Dipartimento di Matematica, P.zza Porta San Donato, 5, 40127 Bologna, Italia, and C.I.R.A.M \u2013 Bologna (e-mail: frosini@dm.unibo.it), , IT"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e0 di Bologna, Dipartimento di Matematica, P.zza Porta San Donato, 5, 40127 Bologna, Italia, and C.I.R.A.M \u2013 Bologna (e-mail: frosini@dm.unibo.it), , , , , , IT","institution_ids":["https://openalex.org/I9360294"]},{"raw_affiliation_string":"Universit\u00e0 di Bologna, Dipartimento di Matematica, P.zza Porta San Donato, 5, 40127 Bologna, Italia, and C.I.R.A.M \u2013 Bologna (e-mail: frosini@dm.unibo.it), , IT","institution_ids":["https://openalex.org/I9360294"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068190896","display_name":"Claudia Landi","orcid":"https://orcid.org/0000-0001-8725-4844"},"institutions":[{"id":"https://openalex.org/I122346577","display_name":"University of Modena and Reggio Emilia","ror":"https://ror.org/02d4c4y02","country_code":"IT","type":"education","lineage":["https://openalex.org/I122346577"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Claudia Landi","raw_affiliation_strings":["Universit\u00e0 di Modena e Reggio Emilia, Dipartimento di Scienze e Metodi per l'Ingegneria, Viale Allegri, 13, 42100 Reggio Emilia, Italia (e-mail: landi.claudia@unimo.it), , , , , , IT","Universit\u00e0 di Modena e Reggio Emilia, Dipartimento di Scienze e Metodi per l'Ingegneria, Viale Allegri, 13, 42100 Reggio Emilia, Italia (e-mail: landi.claudia@unimo.it), , IT"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e0 di Modena e Reggio Emilia, Dipartimento di Scienze e Metodi per l'Ingegneria, Viale Allegri, 13, 42100 Reggio Emilia, Italia (e-mail: landi.claudia@unimo.it), , , , , , IT","institution_ids":["https://openalex.org/I122346577"]},{"raw_affiliation_string":"Universit\u00e0 di Modena e Reggio Emilia, Dipartimento di Scienze e Metodi per l'Ingegneria, Viale Allegri, 13, 42100 Reggio Emilia, Italia (e-mail: landi.claudia@unimo.it), , IT","institution_ids":["https://openalex.org/I122346577"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.0731,"has_fulltext":false,"cited_by_count":78,"citation_normalized_percentile":{"value":0.81365536,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"12","issue":"4","first_page":"327","last_page":"349"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9922999739646912,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9922999739646912,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9842000007629395,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9836000204086304,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/series","display_name":"Series (stratigraphy)","score":0.6363694667816162},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5733163952827454},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5605294108390808},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5208226442337036},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49656206369400024},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.4597397744655609},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3436669111251831},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3362572193145752},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3077544569969177},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20168465375900269},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1881045401096344}],"concepts":[{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.6363694667816162},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5733163952827454},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5605294108390808},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5208226442337036},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49656206369400024},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4597397744655609},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3436669111251831},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3362572193145752},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3077544569969177},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20168465375900269},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1881045401096344},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s002000100078","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s002000100078","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"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":"Applicable Algebra in Engineering, Communication and Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.23.6848","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.23.6848","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ingre.unimo.it/staff/landi/articoli/formal.pdf","raw_type":"text"},{"id":"pmh:oai:arpi.unipi.it:11568/1264190","is_oa":false,"landing_page_url":"https://hdl.handle.net/11568/1264190","pdf_url":null,"source":{"id":"https://openalex.org/S4377196265","display_name":"CINECA IRIS Institutial research information system (University of Pisa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I108290504","host_organization_name":"University of Pisa","host_organization_lineage":["https://openalex.org/I108290504"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:arpi.unipi.it:11568/1264256","is_oa":false,"landing_page_url":"https://hdl.handle.net/11568/1264256","pdf_url":null,"source":{"id":"https://openalex.org/S4377196265","display_name":"CINECA IRIS Institutial research information system (University of Pisa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I108290504","host_organization_name":"University of Pisa","host_organization_lineage":["https://openalex.org/I108290504"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:cris.unibo.it:11585/913814","is_oa":false,"landing_page_url":"https://hdl.handle.net/11585/913814","pdf_url":null,"source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:iris.unimore.it:11380/306970","is_oa":true,"landing_page_url":"http://hdl.handle.net/11380/306970","pdf_url":null,"source":{"id":"https://openalex.org/S4306400718","display_name":"IRIS UNIMORE (University of Modena and Reggio Emilia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122346577","host_organization_name":"University of Modena and Reggio Emilia","host_organization_lineage":["https://openalex.org/I122346577"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:iris.unimore.it:11380/306970","is_oa":true,"landing_page_url":"http://hdl.handle.net/11380/306970","pdf_url":null,"source":{"id":"https://openalex.org/S4306400718","display_name":"IRIS UNIMORE (University of Modena and Reggio Emilia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122346577","host_organization_name":"University of Modena and Reggio Emilia","host_organization_lineage":["https://openalex.org/I122346577"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W52715084","https://openalex.org/W1483296786","https://openalex.org/W1494723810","https://openalex.org/W1505416946","https://openalex.org/W1576896990","https://openalex.org/W1587958798","https://openalex.org/W1595915706","https://openalex.org/W1884299441","https://openalex.org/W1970623334","https://openalex.org/W1976765590","https://openalex.org/W1979381023","https://openalex.org/W1987148068","https://openalex.org/W2013290288","https://openalex.org/W2013656252","https://openalex.org/W2030280038","https://openalex.org/W2035875659","https://openalex.org/W2038730428","https://openalex.org/W2040641923","https://openalex.org/W2051051786","https://openalex.org/W2060430658","https://openalex.org/W2062279006","https://openalex.org/W2073435120","https://openalex.org/W2091804476","https://openalex.org/W2113078179","https://openalex.org/W2129738816","https://openalex.org/W2565152771","https://openalex.org/W2942900780","https://openalex.org/W3162526838"],"related_works":["https://openalex.org/W1919101720","https://openalex.org/W4390822878","https://openalex.org/W96888382","https://openalex.org/W2041308758","https://openalex.org/W4386126592","https://openalex.org/W2951907088","https://openalex.org/W4237434372","https://openalex.org/W1976730198","https://openalex.org/W2787593906","https://openalex.org/W2350145249"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
