{"id":"https://openalex.org/W3046705378","doi":"https://doi.org/10.1007/s10208-022-09566-8","title":"Distinguishing secant from cactus varieties","display_name":"Distinguishing secant from cactus varieties","publication_year":2022,"publication_date":"2022-06-06","ids":{"openalex":"https://openalex.org/W3046705378","doi":"https://doi.org/10.1007/s10208-022-09566-8","mag":"3046705378"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-022-09566-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-022-09566-8","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"Foundations of Computational Mathematics","raw_type":"journal-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/A5075811507","display_name":"Maciej Ga\u0142\u0105zka","orcid":"https://orcid.org/0000-0002-1845-7266"},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Maciej Ga\u0142\u0105zka","raw_affiliation_strings":["Faculty of Mathematics, Computer Science and Mechanics, University of Warsaw, ul. Banacha 2, 02-097, Warsaw, Poland","Faculty of Mathematics, Computer Science and Mechanics, University of Warsaw, Warsaw, Poland"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Computer Science and Mechanics, University of Warsaw, ul. Banacha 2, 02-097, Warsaw, Poland","institution_ids":["https://openalex.org/I4654613"]},{"raw_affiliation_string":"Faculty of Mathematics, Computer Science and Mechanics, University of Warsaw, Warsaw, Poland","institution_ids":["https://openalex.org/I4654613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004449739","display_name":"Tomasz Ma\u0144dziuk","orcid":"https://orcid.org/0000-0002-3992-5890"},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Tomasz Ma\u0144dziuk","raw_affiliation_strings":["Faculty of Mathematics, Computer Science and Mechanics, University of Warsaw, ul. Banacha 2, 02-097, Warsaw, Poland","Faculty of Mathematics, Computer Science and Mechanics, University of Warsaw, Warsaw, Poland"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Computer Science and Mechanics, University of Warsaw, ul. Banacha 2, 02-097, Warsaw, Poland","institution_ids":["https://openalex.org/I4654613"]},{"raw_affiliation_string":"Faculty of Mathematics, Computer Science and Mechanics, University of Warsaw, Warsaw, Poland","institution_ids":["https://openalex.org/I4654613"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080473126","display_name":"Filip Rupniewski","orcid":"https://orcid.org/0000-0002-9647-7078"},"institutions":[{"id":"https://openalex.org/I4210137370","display_name":"Institute of Mathematics","ror":"https://ror.org/04hrrh248","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"funder","lineage":["https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Filip Rupniewski","raw_affiliation_strings":["Institute of Mathematics, Polish Academy of Sciences, ul. \u015aniadeckich 8, 00-656, Warsaw, Poland","Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Polish Academy of Sciences, ul. \u015aniadeckich 8, 00-656, Warsaw, Poland","institution_ids":["https://openalex.org/I99542240","https://openalex.org/I4210137370"]},{"raw_affiliation_string":"Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland","institution_ids":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5075811507"],"corresponding_institution_ids":["https://openalex.org/I4654613"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.2741,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.41916168,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"23","issue":"4","first_page":"1167","last_page":"1214"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational 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/T12303","display_name":"Tensor decomposition and applications","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/mathematics","display_name":"Mathematics","score":0.8340319395065308},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.7392147183418274},{"id":"https://openalex.org/keywords/cactus","display_name":"Cactus","score":0.7384248971939087},{"id":"https://openalex.org/keywords/secant-method","display_name":"Secant method","score":0.6395296454429626},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5419602394104004},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5073952078819275},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.44238194823265076},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21944648027420044},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.09796008467674255},{"id":"https://openalex.org/keywords/horticulture","display_name":"Horticulture","score":0.08618810772895813},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07167786359786987},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06945177912712097}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8340319395065308},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.7392147183418274},{"id":"https://openalex.org/C2780106946","wikidata":"https://www.wikidata.org/wiki/Q14560","display_name":"Cactus","level":2,"score":0.7384248971939087},{"id":"https://openalex.org/C93926214","wikidata":"https://www.wikidata.org/wiki/Q14915286","display_name":"Secant method","level":4,"score":0.6395296454429626},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5419602394104004},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5073952078819275},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.44238194823265076},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21944648027420044},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.09796008467674255},{"id":"https://openalex.org/C144027150","wikidata":"https://www.wikidata.org/wiki/Q48803","display_name":"Horticulture","level":1,"score":0.08618810772895813},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07167786359786987},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06945177912712097},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10208-022-09566-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-022-09566-8","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"Foundations of Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.6499999761581421}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W1495410784","https://openalex.org/W1518341038","https://openalex.org/W1519801683","https://openalex.org/W1967061437","https://openalex.org/W1969432745","https://openalex.org/W1986127216","https://openalex.org/W1995880915","https://openalex.org/W2014468605","https://openalex.org/W2020062309","https://openalex.org/W2029505460","https://openalex.org/W2039748980","https://openalex.org/W2041516918","https://openalex.org/W2044675133","https://openalex.org/W2069857999","https://openalex.org/W2101497692","https://openalex.org/W2102152350","https://openalex.org/W2134166239","https://openalex.org/W2140245831","https://openalex.org/W2230967152","https://openalex.org/W2460214372","https://openalex.org/W2565144978","https://openalex.org/W2594767949","https://openalex.org/W2763778230","https://openalex.org/W2962771269","https://openalex.org/W2962793699","https://openalex.org/W2963308503","https://openalex.org/W2963600389","https://openalex.org/W2963688616","https://openalex.org/W2963900540","https://openalex.org/W2964021267","https://openalex.org/W2978195702","https://openalex.org/W2990803648","https://openalex.org/W3045661918","https://openalex.org/W3084454075","https://openalex.org/W3102253053","https://openalex.org/W3102550440","https://openalex.org/W3105178223","https://openalex.org/W3109395207","https://openalex.org/W3206567653","https://openalex.org/W3211987357","https://openalex.org/W4240837394","https://openalex.org/W4249549360","https://openalex.org/W4298237128","https://openalex.org/W4300819719"],"related_works":["https://openalex.org/W1009021000","https://openalex.org/W2095439288","https://openalex.org/W2955852887","https://openalex.org/W3133003094","https://openalex.org/W3109976485","https://openalex.org/W1979575543","https://openalex.org/W4226056732","https://openalex.org/W2118346384","https://openalex.org/W2747450282","https://openalex.org/W2963119989"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
