{"id":"https://openalex.org/W2002853991","doi":"https://doi.org/10.1145/2500365.2500617","title":"Functional geometry and the Trait\u00e9 de Lutherie","display_name":"Functional geometry and the Trait\u00e9 de Lutherie","publication_year":2013,"publication_date":"2013-09-25","ids":{"openalex":"https://openalex.org/W2002853991","doi":"https://doi.org/10.1145/2500365.2500617","mag":"2002853991"},"language":"en","primary_location":{"id":"doi:10.1145/2500365.2500617","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2500365.2500617","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 18th ACM SIGPLAN international conference on Functional programming","raw_type":"proceedings-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/A5091120658","display_name":"Harry G. Mairson","orcid":"https://orcid.org/0009-0008-4964-8170"},"institutions":[{"id":"https://openalex.org/I6902469","display_name":"Brandeis University","ror":"https://ror.org/05abbep66","country_code":"US","type":"education","lineage":["https://openalex.org/I6902469"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Harry George Mairson","raw_affiliation_strings":["Brandeis University, Waltham, MA, USA","Brandeis University, WALTHAM, MA, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Brandeis University, Waltham, MA, USA","institution_ids":["https://openalex.org/I6902469"]},{"raw_affiliation_string":"Brandeis University, WALTHAM, MA, USA#TAB#","institution_ids":["https://openalex.org/I6902469"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5091120658"],"corresponding_institution_ids":["https://openalex.org/I6902469"],"apc_list":null,"apc_paid":null,"fwci":2.6587,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.9061989,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"123","last_page":"132"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13558","display_name":"Philosophy, Science, and History","score":0.9934999942779541,"subfield":{"id":"https://openalex.org/subfields/1207","display_name":"History and Philosophy of Science"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T13558","display_name":"Philosophy, Science, and History","score":0.9934999942779541,"subfield":{"id":"https://openalex.org/subfields/1207","display_name":"History and Philosophy of Science"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.9847000241279602,"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"}},{"id":"https://openalex.org/T14002","display_name":"Art, Technology, and Culture","score":0.963100016117096,"subfield":{"id":"https://openalex.org/subfields/1213","display_name":"Visual Arts and Performing Arts"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/compass","display_name":"Compass","score":0.6766179800033569},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6176009178161621},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.5804909467697144},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.5009353160858154},{"id":"https://openalex.org/keywords/metaphor","display_name":"Metaphor","score":0.4511128067970276},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2901424169540405},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18581557273864746},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.15409332513809204},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.08997398614883423}],"concepts":[{"id":"https://openalex.org/C2778361833","wikidata":"https://www.wikidata.org/wiki/Q34735","display_name":"Compass","level":2,"score":0.6766179800033569},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6176009178161621},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.5804909467697144},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.5009353160858154},{"id":"https://openalex.org/C2778311575","wikidata":"https://www.wikidata.org/wiki/Q18534","display_name":"Metaphor","level":2,"score":0.4511128067970276},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2901424169540405},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18581557273864746},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.15409332513809204},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.08997398614883423},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2500365.2500617","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2500365.2500617","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 18th ACM SIGPLAN international conference on Functional programming","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4","score":0.7799999713897705}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W647145573","https://openalex.org/W652242316","https://openalex.org/W1551012773","https://openalex.org/W1551833548","https://openalex.org/W1992787227","https://openalex.org/W2089674328","https://openalex.org/W2911891988","https://openalex.org/W4214487305","https://openalex.org/W4233768152","https://openalex.org/W4301884499"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2206872286","https://openalex.org/W2382913035","https://openalex.org/W2391335452","https://openalex.org/W2360876323","https://openalex.org/W2642723128","https://openalex.org/W1970764900","https://openalex.org/W4250287183","https://openalex.org/W2366280361"],"abstract_inverted_index":{"We":[0],"describe":[1],"a":[2],"functional":[3,39],"programming":[4,31,57,88],"approach":[5,16,85],"to":[6,43,86],"the":[7,20,45],"design":[8],"of":[9,11,51],"outlines":[10],"eighteenth-century":[12],"string":[13],"instruments.":[14],"The":[15,30,56],"is":[17,41,59,81],"based":[18],"on":[19],"research":[21],"described":[22],"in":[23],"Fran\u00e7ois":[24],"Denis's":[25,34],"book,":[26],"Trait\u00e9":[27],"de":[28],"lutherie.":[29],"vernacular":[32],"for":[33],"instructions,":[35],"which":[36],"we":[37],"call":[38],"geometry,":[40],"meant":[42],"reiterate":[44],"historically":[46],"justified":[47],"language":[48],"and":[49,64,72,89],"techniques":[50],"this":[52],"musical":[53],"instrument":[54],"design.":[55],"metaphor":[58],"entirely":[60],"Euclidean,":[61],"involving":[62],"straightedge":[63],"compass":[65],"constructions,":[66],"with":[67],"few":[68],"(if":[69],"any)":[70],"numbers,":[71],"no":[73],"Cartesian":[74],"equations":[75],"or":[76,94],"grid.":[77],"As":[78],"such,":[79],"it":[80],"also":[82],"an":[83],"interesting":[84],"teaching":[87],"mathematics":[90],"without":[91],"numerical":[92],"calculation":[93],"equational":[95],"reasoning.":[96]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}