{"id":"https://openalex.org/W2921357964","doi":"https://doi.org/10.1201/9781482285819-3","title":"Sets and functions","display_name":"Sets and functions","publication_year":2018,"publication_date":"2018-07-25","ids":{"openalex":"https://openalex.org/W2921357964","doi":"https://doi.org/10.1201/9781482285819-3","mag":"2921357964"},"language":"en","primary_location":{"id":"doi:10.1201/9781482285819-3","doi":"https://doi.org/10.1201/9781482285819-3","is_oa":false,"landing_page_url":"https://doi.org/10.1201/9781482285819-3","pdf_url":null,"source":{"id":"https://openalex.org/S4306467597","display_name":"Chapman & Hall/CRC eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310320449","host_organization_name":"Informa","host_organization_lineage":["https://openalex.org/P4310320449"],"host_organization_lineage_names":["Informa"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics with Maple","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W611881563","display_name":"Experimental Mathematics with Maple"},"type":"book-chapter","is_traditional":true,"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/A5083498677","display_name":"Franco Vivaldi","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Franco Vivaldi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5083498677"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"39","last_page":"58"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13806","display_name":"Mathematical and Computational Methods","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T13806","display_name":"Mathematical and Computational Methods","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T11435","display_name":"Polynomial and algebraic computation","score":0.0015999999595806003,"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/T10126","display_name":"Logic, programming, and type systems","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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/sets","display_name":"sets","score":0.7139999866485596},{"id":"https://openalex.org/keywords/functions","display_name":"functions","score":0.9020000100135803},{"id":"https://openalex.org/keywords/maple","display_name":"maple","score":0.6880000233650208},{"id":"https://openalex.org/keywords/user-defined-functions","display_name":"user-defined functions","score":0.9660000205039978},{"id":"https://openalex.org/keywords/functions-of-several-variables","display_name":"functions of several variables","score":0.8379999995231628},{"id":"https://openalex.org/keywords/logical-connectives","display_name":"logical connectives","score":0.9670000076293945},{"id":"https://openalex.org/keywords/set-membership","display_name":"set membership","score":0.6019999980926514},{"id":"https://openalex.org/keywords/variable-scoping","display_name":"variable scoping","score":0.4970000088214874}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.334375262260437}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1201/9781482285819-3","doi":"https://doi.org/10.1201/9781482285819-3","is_oa":false,"landing_page_url":"https://doi.org/10.1201/9781482285819-3","pdf_url":null,"source":{"id":"https://openalex.org/S4306467597","display_name":"Chapman & Hall/CRC eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310320449","host_organization_name":"Informa","host_organization_lineage":["https://openalex.org/P4310320449"],"host_organization_lineage_names":["Informa"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics with Maple","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2123536992","https://openalex.org/W4206790917","https://openalex.org/W2921996766","https://openalex.org/W4240665470","https://openalex.org/W7097001488","https://openalex.org/W3081533158","https://openalex.org/W3135379870","https://openalex.org/W2921997625","https://openalex.org/W4323257128","https://openalex.org/W2504519045"],"abstract_inverted_index":{"In":[0],"Maple,":[1],"it":[2,27,131],"is":[3,25,76,107,123,132],"possible":[4],"to":[5,9,51,95,134],"define":[6],"new":[7,23],"functions,":[8],"be":[10,29,49],"used":[11,30],"alongside":[12],"the":[13,18,52,67,78,91,103,120,126,138],"library":[14,34],"functions.":[15,20],"They":[16],"are":[17],"user-defined":[19],"Once":[21],"a":[22,96,115],"function":[24,101,112],"defined,":[26],"can":[28,48],"like":[31],"any":[32,38,135],"other":[33],"function,":[35],"by":[36,109],"substituting":[37],"valid":[39],"expression":[40],"for":[41],"its":[42],"argument.":[43],"The":[44,59,81,98,117],"arrow":[45],"operator":[46,70],"construction":[47],"generalized":[50],"case":[53],"of":[54,56,77,90,93,102,105,119],"functions":[55],"several":[57],"variables.":[58],"binary":[60],"logical":[61,69,79],"operators":[62],"and":[63,64,66,128],"or,":[65],"unary":[68],"not,":[71],"relate":[72],"expressions":[73],"whose":[74],"value":[75],"type.":[80],"chapter":[82],"introduces":[83],"operations":[84],"between":[85],"sets,":[86],"defined":[87],"in":[88,129],"terms":[89],"notion":[92],"membership":[94],"set.":[97],"Boolean":[99],"characteristic":[100],"set":[104],"primes":[106],"given":[108],"isprime.":[110],"A":[111],"depending":[113],"on":[114],"parameter.":[116],"name":[118,140],"function's":[121],"argument":[122],"invisible":[124],"from":[125],"outside,":[127],"particular,":[130],"unrelated":[133],"variable":[136],"with":[137],"same":[139],"that":[141],"could":[142],"have":[143],"been":[144],"defined.":[145]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2019-03-22T00:00:00"}