{"id":"https://openalex.org/W2029645423","doi":"https://doi.org/10.1145/1115904.1115906","title":"Generalizing APL scalar extension","display_name":"Generalizing APL scalar extension","publication_year":1971,"publication_date":"1971-07-01","ids":{"openalex":"https://openalex.org/W2029645423","doi":"https://doi.org/10.1145/1115904.1115906","mag":"2029645423"},"language":"en","primary_location":{"id":"doi:10.1145/1115904.1115906","is_oa":true,"landing_page_url":"https://doi.org/10.1145/1115904.1115906","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/1115904.1115906","source":{"id":"https://openalex.org/S148324379","display_name":"ACM SIGPLAN Notices","issn_l":"0362-1340","issn":["0362-1340","1558-1160"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM SIGPLAN Notices","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/doi/pdf/10.1145/1115904.1115906","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069551361","display_name":"Larry Breed","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Larry Breed","raw_affiliation_strings":["STSC"],"affiliations":[{"raw_affiliation_string":"STSC","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5069551361"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.16208394,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"6","issue":"5","first_page":"12","last_page":"14"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.7993999719619751,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T11673","display_name":"Advanced Topics in Algebra","score":0.7993999719619751,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T11429","display_name":"Semiconductor Lasers and Optical Devices","score":0.7360000014305115,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.7693527936935425},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.711380124092102},{"id":"https://openalex.org/keywords/operand","display_name":"Operand","score":0.6992831230163574},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.696863055229187},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.6615424752235413},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.48739224672317505},{"id":"https://openalex.org/keywords/scalar-multiplication","display_name":"Scalar multiplication","score":0.4317138195037842},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.407470166683197},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.39418935775756836},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3613537549972534},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2403910756111145},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18614420294761658},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08569267392158508},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.060925036668777466},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.05461421608924866}],"concepts":[{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.7693527936935425},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.711380124092102},{"id":"https://openalex.org/C55526617","wikidata":"https://www.wikidata.org/wiki/Q719375","display_name":"Operand","level":2,"score":0.6992831230163574},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.696863055229187},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.6615424752235413},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.48739224672317505},{"id":"https://openalex.org/C171182647","wikidata":"https://www.wikidata.org/wiki/Q126736","display_name":"Scalar multiplication","level":3,"score":0.4317138195037842},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.407470166683197},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.39418935775756836},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3613537549972534},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2403910756111145},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18614420294761658},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08569267392158508},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.060925036668777466},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.05461421608924866},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1115904.1115906","is_oa":true,"landing_page_url":"https://doi.org/10.1145/1115904.1115906","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/1115904.1115906","source":{"id":"https://openalex.org/S148324379","display_name":"ACM SIGPLAN Notices","issn_l":"0362-1340","issn":["0362-1340","1558-1160"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM SIGPLAN Notices","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1145/1115904.1115906","is_oa":true,"landing_page_url":"https://doi.org/10.1145/1115904.1115906","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/1115904.1115906","source":{"id":"https://openalex.org/S148324379","display_name":"ACM SIGPLAN Notices","issn_l":"0362-1340","issn":["0362-1340","1558-1160"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM SIGPLAN Notices","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2029645423.pdf","grobid_xml":"https://content.openalex.org/works/W2029645423.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W2019155678"],"related_works":["https://openalex.org/W2034604290","https://openalex.org/W2867317277","https://openalex.org/W2078886092","https://openalex.org/W1576294153","https://openalex.org/W2967034884","https://openalex.org/W2807524344","https://openalex.org/W2362283711","https://openalex.org/W2002792918","https://openalex.org/W2360049128","https://openalex.org/W1485234189"],"abstract_inverted_index":{"We":[0],"present":[1,27],"a":[2],"generalization":[3,15],"of":[4,7,19,31],"the":[5,17,26],"extension":[6,30],"scalar":[8,21],"dyadic":[9],"functions":[10],"with":[11,42],"one-element":[12,32],"operands.":[13],"The":[14],"retains":[16],"spirit":[18],"APL":[20,38],"extension,":[22],"brings":[23],"into":[24],"harmony":[25],"rules":[28],"for":[29],"arrays,":[33],"and":[34,48],"provides":[35],"useful":[36],"new":[37],"constructions.":[39],"Some":[40],"contrasts":[41],"Dr.":[43],"S.":[44],"Charmonman's":[45],"proposed":[46],"generalization,":[47],"some":[49],"implementation":[50],"considerations,":[51],"are":[52],"also":[53],"discussed.":[54]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}