{"id":"https://openalex.org/W2088119073","doi":"https://doi.org/10.1016/s0020-0255(98)10094-4","title":"Presenting inequations in mathematical proofs","display_name":"Presenting inequations in mathematical proofs","publication_year":1999,"publication_date":"1999-05-01","ids":{"openalex":"https://openalex.org/W2088119073","doi":"https://doi.org/10.1016/s0020-0255(98)10094-4","mag":"2088119073"},"language":"en","primary_location":{"id":"doi:10.1016/s0020-0255(98)10094-4","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0020-0255(98)10094-4","pdf_url":null,"source":{"id":"https://openalex.org/S192650101","display_name":"Information Sciences","issn_l":"0020-0255","issn":["0020-0255","1872-6291"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information Sciences","raw_type":"journal-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/A5056076552","display_name":"Detlef Fehrer","orcid":null},"institutions":[{"id":"https://openalex.org/I188880306","display_name":"Sick (Germany)","ror":"https://ror.org/05hjs5k87","country_code":"DE","type":"company","lineage":["https://openalex.org/I188880306"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Detlef Fehrer","raw_affiliation_strings":["SICK AG, Software Engineering, Sebastian-Kneipp-Str. 1, D-79183 Waldkirch, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SICK AG, Software Engineering, Sebastian-Kneipp-Str. 1, D-79183 Waldkirch, Germany","institution_ids":["https://openalex.org/I188880306"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019209157","display_name":"Helmut Horacek","orcid":null},"institutions":[{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Helmut Horacek","raw_affiliation_strings":["Fachbereich Informatik, Universit\u00e4t des Saarlandes, P.O. Box 151150, D-66041 Saarbr\u00fccken, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fachbereich Informatik, Universit\u00e4t des Saarlandes, P.O. Box 151150, D-66041 Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I91712215"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3330,"currency":"USD","value_usd":3330},"apc_paid":null,"fwci":1.0317,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.82300275,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"116","issue":"1","first_page":"3","last_page":"23"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9987000226974487,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9987000226974487,"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/T10142","display_name":"Formal Methods in Verification","score":0.9968000054359436,"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/T10260","display_name":"Software Engineering Research","score":0.9933000206947327,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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":0.8703618049621582},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4930059611797333},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4841111898422241},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4377446472644806},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.39483335614204407},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.19806402921676636},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1353028118610382}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.8703618049621582},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4930059611797333},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4841111898422241},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4377446472644806},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.39483335614204407},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.19806402921676636},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1353028118610382},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0020-0255(98)10094-4","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0020-0255(98)10094-4","pdf_url":null,"source":{"id":"https://openalex.org/S192650101","display_name":"Information Sciences","issn_l":"0020-0255","issn":["0020-0255","1872-6291"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information Sciences","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.7400000095367432,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W26772505","https://openalex.org/W38723545","https://openalex.org/W57606327","https://openalex.org/W63122532","https://openalex.org/W68015109","https://openalex.org/W73766171","https://openalex.org/W117479001","https://openalex.org/W157197848","https://openalex.org/W172888194","https://openalex.org/W642000422","https://openalex.org/W1245452097","https://openalex.org/W1480066371","https://openalex.org/W1480335431","https://openalex.org/W1491353074","https://openalex.org/W1495433690","https://openalex.org/W1522635989","https://openalex.org/W1536733961","https://openalex.org/W2067259733","https://openalex.org/W2155990634","https://openalex.org/W2549046034","https://openalex.org/W2913893938","https://openalex.org/W2914936697","https://openalex.org/W4285719527","https://openalex.org/W6601526766","https://openalex.org/W6602296686","https://openalex.org/W6602536652","https://openalex.org/W6604820786","https://openalex.org/W6606392020","https://openalex.org/W6628042368","https://openalex.org/W6628518157","https://openalex.org/W6628726881","https://openalex.org/W6631232243","https://openalex.org/W6631948129","https://openalex.org/W6667360198","https://openalex.org/W6683272182","https://openalex.org/W6888784692","https://openalex.org/W6888800995"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2808944898","https://openalex.org/W3196207352","https://openalex.org/W2951724202","https://openalex.org/W3084261076","https://openalex.org/W4387820098","https://openalex.org/W1996614773","https://openalex.org/W2576399385","https://openalex.org/W1979597421"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
