{"id":"https://openalex.org/W4240604768","doi":"https://doi.org/10.1145/376957","title":"Proceedings of the sixth ACM symposium on Solid modeling and applications","display_name":"Proceedings of the sixth ACM symposium on Solid modeling and applications","publication_year":2001,"publication_date":"2001-05-01","ids":{"openalex":"https://openalex.org/W4240604768","doi":"https://doi.org/10.1145/376957"},"language":"en","primary_location":{"id":"doi:10.1145/376957","is_oa":false,"landing_page_url":"https://doi.org/10.1145/376957","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"proceedings"},"type":"paratext","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":66,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":true,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11159","display_name":"Manufacturing Process and Optimization","score":0.965499997138977,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/T11159","display_name":"Manufacturing Process and Optimization","score":0.965499997138977,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9623000025749207,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9452999830245972,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/dimension","display_name":"Dimension (graph theory)","score":0.6936861872673035},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6868048906326294},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.6827720403671265},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6303094625473022},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.49206632375717163},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4235730767250061},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.39609670639038086},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3574282228946686},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3512202203273773},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29432690143585205},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.2599004805088043},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14015790820121765},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.11951878666877747}],"concepts":[{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6936861872673035},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6868048906326294},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6827720403671265},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6303094625473022},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.49206632375717163},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4235730767250061},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.39609670639038086},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3574282228946686},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3512202203273773},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29432690143585205},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.2599004805088043},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14015790820121765},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.11951878666877747}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/376957","is_oa":false,"landing_page_url":"https://doi.org/10.1145/376957","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"proceedings"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.5,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2186864281","https://openalex.org/W4255427455","https://openalex.org/W2406638334","https://openalex.org/W1966025497","https://openalex.org/W68941528","https://openalex.org/W4206451355","https://openalex.org/W1553604823","https://openalex.org/W8322802","https://openalex.org/W314331466","https://openalex.org/W4390961098"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,7,10],"new":[3],"approach":[4],"to":[5],"building":[6],"solver":[8],"for":[9],"set":[11,33],"of":[12],"geometric":[13],"constraints":[14,21],"represented":[15],"by":[16],"multivariate":[17],"rational":[18],"functions.":[19],"The":[20],"are":[22],"formulated":[23],"using":[24],"inequalities":[25],"as":[26,28],"well":[27],"equalities.":[29],"When":[30],"the":[31],"solution":[32],"has":[34],"dimension":[35],"larger":[36],"than":[37],"...":[38]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
