{"id":"https://openalex.org/W2056485217","doi":"https://doi.org/10.1145/1953163.1953246","title":"Mathematical induction is a recursive technique","display_name":"Mathematical induction is a recursive technique","publication_year":2011,"publication_date":"2011-03-09","ids":{"openalex":"https://openalex.org/W2056485217","doi":"https://doi.org/10.1145/1953163.1953246","mag":"2056485217"},"language":"en","primary_location":{"id":"doi:10.1145/1953163.1953246","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1953163.1953246","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 42nd ACM technical symposium on Computer science education","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/A5103488244","display_name":"Robert L. Scot Drysdale","orcid":null},"institutions":[{"id":"https://openalex.org/I107672454","display_name":"Dartmouth College","ror":"https://ror.org/049s0rh22","country_code":"US","type":"education","lineage":["https://openalex.org/I107672454"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Robert L. Scot Drysdale","raw_affiliation_strings":["Dartmouth College, Hanover, NH, USA","Dartmouth College, Hanover NH, USA"],"affiliations":[{"raw_affiliation_string":"Dartmouth College, Hanover, NH, USA","institution_ids":["https://openalex.org/I107672454"]},{"raw_affiliation_string":"Dartmouth College, Hanover NH, USA","institution_ids":["https://openalex.org/I107672454"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5103488244"],"corresponding_institution_ids":["https://openalex.org/I107672454"],"apc_list":null,"apc_paid":null,"fwci":0.265,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.61122878,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"269","last_page":"274"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9649999737739563,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9649999737739563,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9639000296592712,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T12162","display_name":"Cellular Automata and Applications","score":0.9318000078201294,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.8927412033081055},{"id":"https://openalex.org/keywords/mathematical-induction","display_name":"Mathematical induction","score":0.8704044222831726},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.601451575756073},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.563754677772522},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.47099608182907104},{"id":"https://openalex.org/keywords/inductive-reasoning","display_name":"Inductive reasoning","score":0.4477699100971222},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.39303597807884216},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3607122600078583},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32442915439605713},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32385897636413574},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.17106536030769348},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16184014081954956}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.8927412033081055},{"id":"https://openalex.org/C206743973","wikidata":"https://www.wikidata.org/wiki/Q178377","display_name":"Mathematical induction","level":2,"score":0.8704044222831726},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.601451575756073},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.563754677772522},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.47099608182907104},{"id":"https://openalex.org/C21563000","wikidata":"https://www.wikidata.org/wiki/Q484511","display_name":"Inductive reasoning","level":2,"score":0.4477699100971222},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.39303597807884216},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3607122600078583},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32442915439605713},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32385897636413574},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.17106536030769348},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16184014081954956},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1953163.1953246","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1953163.1953246","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 42nd ACM technical symposium on Computer science education","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education","score":0.7699999809265137}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W120955488","https://openalex.org/W573373744","https://openalex.org/W589089745","https://openalex.org/W619281182","https://openalex.org/W626294613","https://openalex.org/W647251491","https://openalex.org/W1489105815","https://openalex.org/W1493027034","https://openalex.org/W1509149194","https://openalex.org/W1519862590","https://openalex.org/W1526373114","https://openalex.org/W1542519739","https://openalex.org/W1567558468","https://openalex.org/W1572177545","https://openalex.org/W1575669909","https://openalex.org/W1588198101","https://openalex.org/W1588517095","https://openalex.org/W1590802680","https://openalex.org/W1602707498","https://openalex.org/W2038218207","https://openalex.org/W2131520551","https://openalex.org/W2400908863","https://openalex.org/W3111901986","https://openalex.org/W4388397010","https://openalex.org/W6604947135","https://openalex.org/W6616303355","https://openalex.org/W6617605984","https://openalex.org/W6619332622","https://openalex.org/W6621184839","https://openalex.org/W6629388383","https://openalex.org/W6631534914","https://openalex.org/W6634224976","https://openalex.org/W6635209484","https://openalex.org/W6635292371","https://openalex.org/W6636052457","https://openalex.org/W6660005976","https://openalex.org/W6999775829","https://openalex.org/W7027859235"],"related_works":["https://openalex.org/W1859226892","https://openalex.org/W2133996617","https://openalex.org/W67731524","https://openalex.org/W2741026217","https://openalex.org/W2341477737","https://openalex.org/W2158168319","https://openalex.org/W1983876205","https://openalex.org/W2963580724","https://openalex.org/W3003905538","https://openalex.org/W2968242637"],"abstract_inverted_index":{"Many":[0],"students":[1,18],"find":[2,32],"that":[3,58],"proof":[4],"by":[5],"induction":[6,66,73],"is":[7,57,78],"one":[8],"of":[9,44,52],"the":[10,53,68],"most":[11],"difficult":[12,34],"topics":[13],"in":[14,26,39,82],"discrete":[15,59],"mathematics.":[16],"Even":[17],"who":[19],"are":[20],"able":[21],"to":[22,35,63],"write":[23,36],"inductive":[24,37],"proofs":[25,38],"a":[27],"Discrete":[28],"Mathematics":[29],"course":[30],"often":[31],"it":[33],"Data":[40],"Structures,":[41],"Algorithms,":[42],"Theory":[43],"Computation,":[45],"and":[46],"other":[47],"computer":[48,83],"science":[49],"courses.":[50],"Part":[51],"reason":[54],"for":[55],"this":[56],"mathematics":[60],"courses":[61],"tend":[62],"emphasize":[64],"weak":[65],"over":[67,74],"natural":[69],"numbers,":[70],"but":[71],"strong":[72],"recursively":[75],"defined":[76],"structures":[77],"much":[79],"more":[80],"useful":[81],"science.":[84]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}