{"id":"https://openalex.org/W2013631630","doi":"https://doi.org/10.1137/s0097539794274246","title":"Exact Learning of Discretized Geometric Concepts","display_name":"Exact Learning of Discretized Geometric Concepts","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W2013631630","doi":"https://doi.org/10.1137/s0097539794274246","mag":"2013631630"},"language":"en","primary_location":{"id":"doi:10.1137/s0097539794274246","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0097539794274246","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.7936/k78050tc","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017977075","display_name":"Nader H. Bshouty","orcid":"https://orcid.org/0009-0007-7356-7824"},"institutions":[{"id":"https://openalex.org/I204465549","display_name":"Washington University in St. Louis","ror":"https://ror.org/01yc7t268","country_code":"US","type":"education","lineage":["https://openalex.org/I204465549"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Nader H. Bshouty","raw_affiliation_strings":["Washington University in St. Louis Washington University in St. Louis Washington University Open Scholarship Washington University Open Scholarship All Computer Science and Engineering Research Computer Science and","Department of Computer Science & Engineering -Washington University in St. Louis Campus Box 1045 -St. Louis, MO -63130"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Washington University in St. Louis Washington University in St. Louis Washington University Open Scholarship Washington University Open Scholarship All Computer Science and Engineering Research Computer Science and","institution_ids":["https://openalex.org/I204465549"]},{"raw_affiliation_string":"Department of Computer Science & Engineering -Washington University in St. Louis Campus Box 1045 -St. Louis, MO -63130","institution_ids":["https://openalex.org/I204465549"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067662147","display_name":"Paul W. Goldberg","orcid":"https://orcid.org/0000-0002-5436-7890"},"institutions":[{"id":"https://openalex.org/I204465549","display_name":"Washington University in St. Louis","ror":"https://ror.org/01yc7t268","country_code":"US","type":"education","lineage":["https://openalex.org/I204465549"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Paul W. Goldberg","raw_affiliation_strings":["Washington University in St. Louis Washington University in St. Louis Washington University Open Scholarship Washington University Open Scholarship All Computer Science and Engineering Research Computer Science and","Department of Computer Science & Engineering -Washington University in St. Louis Campus Box 1045 -St. Louis, MO -63130"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Washington University in St. Louis Washington University in St. Louis Washington University Open Scholarship Washington University Open Scholarship All Computer Science and Engineering Research Computer Science and","institution_ids":["https://openalex.org/I204465549"]},{"raw_affiliation_string":"Department of Computer Science & Engineering -Washington University in St. Louis Campus Box 1045 -St. Louis, MO -63130","institution_ids":["https://openalex.org/I204465549"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103351832","display_name":"Sally A. Goldman","orcid":null},"institutions":[{"id":"https://openalex.org/I204465549","display_name":"Washington University in St. Louis","ror":"https://ror.org/01yc7t268","country_code":"US","type":"education","lineage":["https://openalex.org/I204465549"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sally A. Goldman","raw_affiliation_strings":["Department of Computer Science & Engineering -Washington University in St. Louis Campus Box 1045 -St. Louis, MO -63130","Washington University in St. Louis Washington University in St. Louis Washington University Open Scholarship Washington University Open Scholarship All Computer Science and Engineering Research Computer Science and"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science & Engineering -Washington University in St. Louis Campus Box 1045 -St. Louis, MO -63130","institution_ids":["https://openalex.org/I204465549"]},{"raw_affiliation_string":"Washington University in St. Louis Washington University in St. Louis Washington University Open Scholarship Washington University Open Scholarship All Computer Science and Engineering Research Computer Science and","institution_ids":["https://openalex.org/I204465549"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065955478","display_name":"H. David Mathias","orcid":"https://orcid.org/0000-0001-8521-6705"},"institutions":[{"id":"https://openalex.org/I204465549","display_name":"Washington University in St. Louis","ror":"https://ror.org/01yc7t268","country_code":"US","type":"education","lineage":["https://openalex.org/I204465549"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"H. David Mathias","raw_affiliation_strings":["Washington University in St. Louis Washington University in St. Louis Washington University Open Scholarship Washington University Open Scholarship All Computer Science and Engineering Research Computer Science and","Department of Computer Science & Engineering -Washington University in St. Louis Campus Box 1045 -St. Louis, MO -63130"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Washington University in St. Louis Washington University in St. Louis Washington University Open Scholarship Washington University Open Scholarship All Computer Science and Engineering Research Computer Science and","institution_ids":["https://openalex.org/I204465549"]},{"raw_affiliation_string":"Department of Computer Science & Engineering -Washington University in St. Louis Campus Box 1045 -St. Louis, MO -63130","institution_ids":["https://openalex.org/I204465549"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.2996,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.92571063,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"28","issue":"2","first_page":"674","last_page":"699"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11269","display_name":"Algorithms and Data Compression","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9876000285148621,"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/mathematics","display_name":"Mathematics","score":0.6884428262710571},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6485052704811096},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6374291181564331},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.616560697555542},{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.5899426937103271},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5361979007720947},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.49799299240112305},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4928615093231201},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.49181869626045227},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.48318424820899963},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.47240322828292847},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.44093045592308044},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4179961085319519},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19362559914588928},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09170505404472351}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6884428262710571},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6485052704811096},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6374291181564331},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.616560697555542},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.5899426937103271},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5361979007720947},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.49799299240112305},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4928615093231201},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.49181869626045227},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.48318424820899963},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.47240322828292847},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.44093045592308044},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4179961085319519},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19362559914588928},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09170505404472351},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":10,"locations":[{"id":"doi:10.1137/s0097539794274246","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0097539794274246","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},{"id":"pmh:oai:openscholarship.wustl.edu:cse_research-1340","is_oa":false,"landing_page_url":"https://openscholarship.wustl.edu/cse_research/340","pdf_url":null,"source":{"id":"https://openalex.org/S4377196400","display_name":"Open Scholarship Institutional Repository (Washington University in St. Louis)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I204465549","host_organization_name":"Washington University in St. Louis","host_organization_lineage":["https://openalex.org/I204465549"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"All Computer Science and Engineering Research","raw_type":"text"},{"id":"pmh:oai:openscholarship.wustl.edu:cse_research-1432","is_oa":false,"landing_page_url":"https://openscholarship.wustl.edu/cse_research/432","pdf_url":null,"source":{"id":"https://openalex.org/S4377196400","display_name":"Open Scholarship Institutional Repository (Washington University in St. Louis)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I204465549","host_organization_name":"Washington University in St. Louis","host_organization_lineage":["https://openalex.org/I204465549"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"All Computer Science and Engineering Research","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.29.9604","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.29.9604","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.dcs.warwick.ac.uk/~pwg/././papers/bggm.ps.Z","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.47.1836","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.47.1836","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://grouchy.cs.indiana.edu/l/www/hyplan/dmath/boxes.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.47.3510","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.47.3510","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://wuarchive.wustl.edu/doc/techreports/wustl.edu/cs/1994/wucs-94-19.ps.Z","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.51.1288","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.51.1288","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://128.252.165.44/~sg/boxes.ps.Z","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.6.6748","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.6.6748","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://pages.cpsc.ucalgary.ca/~bshouty/PAPERS/exact-learning-dis-geo-con.ps","raw_type":"text"},{"id":"doi:10.7936/k78050tc","is_oa":true,"landing_page_url":"https://doi.org/10.7936/k78050tc","pdf_url":null,"source":{"id":"https://openalex.org/S7407053377","display_name":"Washington University in St. Louis Libraries","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"},{"id":"doi:10.7936/k7cr5rjd","is_oa":true,"landing_page_url":"https://doi.org/10.7936/k7cr5rjd","pdf_url":null,"source":{"id":"https://openalex.org/S7407053377","display_name":"Washington University in St. Louis Libraries","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.7936/k78050tc","is_oa":true,"landing_page_url":"https://doi.org/10.7936/k78050tc","pdf_url":null,"source":{"id":"https://openalex.org/S7407053377","display_name":"Washington University in St. Louis Libraries","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W2256202","https://openalex.org/W88784400","https://openalex.org/W1507495319","https://openalex.org/W1588440335","https://openalex.org/W1828852835","https://openalex.org/W1964839993","https://openalex.org/W1968632103","https://openalex.org/W1968998685","https://openalex.org/W1985017041","https://openalex.org/W1985235067","https://openalex.org/W1995282992","https://openalex.org/W2003538045","https://openalex.org/W2004171193","https://openalex.org/W2019363670","https://openalex.org/W2022266599","https://openalex.org/W2022841629","https://openalex.org/W2024591429","https://openalex.org/W2031979166","https://openalex.org/W2036478832","https://openalex.org/W2044157824","https://openalex.org/W2054851560","https://openalex.org/W2056329899","https://openalex.org/W2063540785","https://openalex.org/W2064766650","https://openalex.org/W2064773717","https://openalex.org/W2067220985","https://openalex.org/W2076265415","https://openalex.org/W2087445078","https://openalex.org/W2091047168","https://openalex.org/W2092923988","https://openalex.org/W2107025376","https://openalex.org/W2107189314","https://openalex.org/W2117472863","https://openalex.org/W2129113961","https://openalex.org/W2139709458","https://openalex.org/W2154952480","https://openalex.org/W2157054705","https://openalex.org/W2166775458","https://openalex.org/W3203591206","https://openalex.org/W4212783949","https://openalex.org/W4213141004","https://openalex.org/W4238893454","https://openalex.org/W4249759229","https://openalex.org/W4300640952"],"related_works":["https://openalex.org/W2773178955","https://openalex.org/W2989116986","https://openalex.org/W4377371889","https://openalex.org/W4389362338","https://openalex.org/W2113623403","https://openalex.org/W2055932080","https://openalex.org/W1968512104","https://openalex.org/W2565109825","https://openalex.org/W1862126075","https://openalex.org/W78560857"],"abstract_inverted_index":{"We":[0,231],"first":[1,237],"present":[2,232],"an":[3],"algorithm":[4,40,85,120,144,238,264],"that":[5,169,216,239],"uses":[6,47,240],"membership":[7,50,257],"and":[8,46,49,55,186,242,247,254,258],"equivalence":[9,64,91,124,141],"queries":[10,51,65,125,243,255],"to":[11,82,86,148],"exactly":[12,121],"identify":[13],"a":[14,113,150,165,202,205,233],"discretized":[15,28,94,129],"geometric":[16,95],"concept":[17,96],"defined":[18],"by":[19,159,261],"the":[20,70,109,156,160,172,175,182,187,194,199,211,214,225,229,252],"union":[21,71,176],"of":[22,72,101,106,128,153,174,177,184,196,208,210,213,224,235],"m":[23,54,178],"axis-parallel":[24,76,130],"boxes":[25,131,179,185],"in":[26,53,112,132,136,155,198,245],"d-dimensional":[27],"Euclidean":[29],"space":[30,135],"where":[31,201],"each":[32,223],"coordinate":[33],"can":[34,66,145],"have":[35],"n":[36,57],"discrete":[37],"values.":[38],"This":[39],"receives":[41],"at":[42],"most":[43],"md":[44],"counterexamples":[45,157],"time":[48,241,253],"polynomial":[52,137,151,244,266],"log":[56,74,248],"for":[58,267],"any":[59,93,99,104],"constant":[60,114,133],"d.":[61],"Furthermore,":[62,139],"all":[63],"be":[67,146],"formulated":[68],"as":[69],"O(md":[73],"m)":[75],"boxes.":[77],"Next,":[78],"we":[79,163],"show":[80],"how":[81],"extend":[83],"our":[84,119,236],"efficiently":[87],"learn,":[88],"from":[89,98],"only":[90,143],"queries,":[92],"generated":[97],"number":[100,105,152,183,195],"halfspaces":[102,227],"with":[103],"known":[107],"(to":[108],"learner)":[110],"slopes":[111],"dimensional":[115,134],"space.":[116],"In":[117,250],"particular,":[118],"learns":[122],"(from":[123],"only)":[126],"unions":[127],"time.":[138],"this":[140,262],"query":[142],"modified":[147],"handle":[149],"lies":[154,217],"provided":[158],"environment.":[161],"Finally,":[162],"introduce":[164],"new":[166,190],"complexity":[167,173],"measure":[168],"better":[170],"captures":[171],"than":[180],"simply":[181],"dimension.":[188],"Our":[189],"measure,":[191],"$\\sigma$,":[192],"is":[193,204],"segments":[197],"target,":[200],"segment":[203],"maximum":[206],"portion":[207],"one":[209],"sides":[212],"target":[215],"entirely":[218,221],"inside":[219],"or":[220,269],"outside":[222],"other":[226],"defining":[228],"target.":[230],"modification":[234],"$\\sigma$":[246],"n.":[249],"fact,":[251],"(both":[256],"equivalence)":[259],"used":[260],"single":[263],"are":[265],"eitherm":[268],"d":[270],"constant.":[271]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
