{"id":"https://openalex.org/W2789193884","doi":"https://doi.org/10.1080/00029890.2018.1411741","title":"An Inequality for the Volume of a Tetrahedron","display_name":"An Inequality for the Volume of a Tetrahedron","publication_year":2018,"publication_date":"2018-02-22","ids":{"openalex":"https://openalex.org/W2789193884","doi":"https://doi.org/10.1080/00029890.2018.1411741","mag":"2789193884"},"language":"en","primary_location":{"id":"doi:10.1080/00029890.2018.1411741","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00029890.2018.1411741","pdf_url":null,"source":{"id":"https://openalex.org/S156280010","display_name":"American Mathematical Monthly","issn_l":"0002-9890","issn":["0002-9890","1930-0972"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The American Mathematical Monthly","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/A5014284891","display_name":"Marcin Mazur","orcid":"https://orcid.org/0000-0002-3597-0184"},"institutions":[{"id":"https://openalex.org/I123946342","display_name":"Binghamton University","ror":"https://ror.org/008rmbt77","country_code":"US","type":"education","lineage":["https://openalex.org/I123946342"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Marcin Mazur","raw_affiliation_strings":["Department of Mathematics, Binghamton University, P.O. Box 6000, Binghamton, NY 13892-6000"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Binghamton University, P.O. Box 6000, Binghamton, NY 13892-6000","institution_ids":["https://openalex.org/I123946342"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5014284891"],"corresponding_institution_ids":["https://openalex.org/I123946342"],"apc_list":null,"apc_paid":null,"fwci":1.8971,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.84439028,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"125","issue":"3","first_page":"273","last_page":"275"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9968000054359436,"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"}},"topics":[{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9968000054359436,"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"}},{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9901999831199646,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/tetrahedron","display_name":"Tetrahedron","score":0.9558289051055908},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.6924031972885132},{"id":"https://openalex.org/keywords/volume","display_name":"Volume (thermodynamics)","score":0.6704477071762085},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4799928367137909},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.24402031302452087},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1687105894088745},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16516751050949097},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.06127983331680298}],"concepts":[{"id":"https://openalex.org/C105239961","wikidata":"https://www.wikidata.org/wiki/Q160003","display_name":"Tetrahedron","level":2,"score":0.9558289051055908},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.6924031972885132},{"id":"https://openalex.org/C20556612","wikidata":"https://www.wikidata.org/wiki/Q4469374","display_name":"Volume (thermodynamics)","level":2,"score":0.6704477071762085},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4799928367137909},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.24402031302452087},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1687105894088745},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16516751050949097},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.06127983331680298}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00029890.2018.1411741","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00029890.2018.1411741","pdf_url":null,"source":{"id":"https://openalex.org/S156280010","display_name":"American Mathematical Monthly","issn_l":"0002-9890","issn":["0002-9890","1930-0972"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The American Mathematical Monthly","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/1","score":0.44999998807907104,"display_name":"No poverty"}],"awards":[{"id":"https://openalex.org/G4969607252","display_name":null,"funder_award_id":"245855","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"}],"funders":[{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1582541872","https://openalex.org/W1585655113","https://openalex.org/W2796667693","https://openalex.org/W2887081880","https://openalex.org/W4232463362","https://openalex.org/W4241563377","https://openalex.org/W4249359730"],"related_works":["https://openalex.org/W3118783749","https://openalex.org/W2002583644","https://openalex.org/W3119989344","https://openalex.org/W2025402442","https://openalex.org/W2098990162","https://openalex.org/W1987870972","https://openalex.org/W2993813190","https://openalex.org/W2567351266","https://openalex.org/W1998766989","https://openalex.org/W2981680163"],"abstract_inverted_index":{"In":[0],"this":[1],"note":[2],"we":[3],"prove":[4],"a":[5,14],"curious":[6],"inequality":[7],"involving":[8],"the":[9],"sides":[10],"and":[11],"volume":[12],"of":[13],"tetrahedron.":[15]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":2}],"updated_date":"2026-02-24T19:35:01.260952","created_date":"2025-10-10T00:00:00"}
