{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,16]],"date-time":"2026-04-16T09:58:17Z","timestamp":1776333497555,"version":"3.51.2"},"reference-count":20,"publisher":"Elsevier BV","issue":"1-2","license":[{"start":{"date-parts":[[1988,2,1]],"date-time":"1988-02-01T00:00:00Z","timestamp":570672000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":9298,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Symbolic Computation"],"published-print":{"date-parts":[[1988,2]]},"DOI":"10.1016\/s0747-7171(88)80010-5","type":"journal-article","created":{"date-parts":[[2008,4,11]],"date-time":"2008-04-11T19:34:27Z","timestamp":1207942467000},"page":"141-161","source":"Crossref","is-referenced-by-count":70,"title":["An improved projection operation for cylindrical algebraic decomposition of three-dimensional space"],"prefix":"10.1016","volume":"5","author":[{"given":"Scott","family":"McCallum","sequence":"first","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0747-7171(88)80010-5_bib1","doi-asserted-by":"crossref","first-page":"865","DOI":"10.1137\/0213054","article-title":"Cylindrical algebraic decomposition I: the basic algorithm","volume":"1314","author":"Arnon","year":"1984","journal-title":"SIAM J. Comp"},{"issue":"4","key":"10.1016\/S0747-7171(88)80010-5_bib2","first-page":"878","article-title":"Cylindrical algebraic decomposition II: an adjacency algorithm for the plane","volume":"13","author":"Arnon","year":"1984","journal-title":"SlAM J. Comp"},{"key":"10.1016\/S0747-7171(88)80010-5_bib3","series-title":"Several Complex Variables","author":"Bochner","year":"1948"},{"issue":"4","key":"10.1016\/S0747-7171(88)80010-5_bib4","doi-asserted-by":"crossref","first-page":"505","DOI":"10.1145\/321662.321665","article-title":"On Euclid's algorithm and the theory of subresultants","volume":"18","author":"Brown","year":"1971","journal-title":"J. Assoc. Comp. Mach."},{"key":"10.1016\/S0747-7171(88)80010-5_bib5","first-page":"134","article-title":"Quantifier elimination for real closed fields by cylindrical algebraic decomposition","volume":"33","author":"Collins","year":"1975","journal-title":"In: Second GI Conference on Automata Theory and Formal Languages. Springer Lec. Notes Comp. Sci"},{"key":"10.1016\/S0747-7171(88)80010-5_bib6","series-title":"Analytic Functions of Several Complex Variables","author":"Gunning","year":"1965"},{"key":"10.1016\/S0747-7171(88)80010-5_bib7","series-title":"Private communication to G. E. Collins","author":"Kahn","year":"1978"},{"key":"10.1016\/S0747-7171(88)80010-5_bib8","series-title":"Computing, Supplementum 4: Computer Algebra\u2014Symbolic and Algebraic Computation","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-7091-3406-1_8","article-title":"Polynomial factorization","author":"Kaltofen","year":"1982"},{"key":"10.1016\/S0747-7171(88)80010-5_bib9","article-title":"Introduction to Analytic Functions","author":"Kaplan","year":"1966","journal-title":"Reading: Addison-Wesley"},{"key":"10.1016\/S0747-7171(88)80010-5_bib10","series-title":"Algebra","author":"Kang","year":"1984"},{"key":"10.1016\/S0747-7171(88)80010-5_bib11","series-title":"Computing, Supplementum 4: Computer Algebra\u2014Symbolic and Algebraic Computation","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-7091-3406-1_12","article-title":"Computing in algebraic extensions","author":"Loos","year":"1982"},{"key":"10.1016\/S0747-7171(88)80010-5_bib12","series-title":"Providence: American Mathematical Society","article-title":"Geometry of Polynomials","author":"Marden","year":"1966"},{"key":"10.1016\/S0747-7171(88)80010-5_bib13","series-title":"PhD thesis, Technical Report No. 578","article-title":"An Improved Projection Operation for Cylindrical Algebraic Decomposition","author":"McCallum","year":"1984"},{"key":"10.1016\/S0747-7171(88)80010-5_bib14","series-title":"Topology\u2014A First Course","author":"Munkres","year":"1975"},{"key":"10.1016\/S0747-7171(88)80010-5_bib15","series-title":"A Decision Method for Elementary Algebra and Geometry","author":"Tarski","year":"1951"},{"key":"10.1016\/S0747-7171(88)80010-5_bib16","series-title":"Algebraic Curves","author":"Walker","year":"1978"},{"key":"10.1016\/S0747-7171(88)80010-5_bib17","series-title":"Complex Analytic Varieties","author":"Whitney","year":"1972"},{"key":"10.1016\/S0747-7171(88)80010-5_bib18","series-title":"Algebraic Sutfaces","author":"Zariski","year":"1935"},{"issue":"4","key":"10.1016\/S0747-7171(88)80010-5_bib19","doi-asserted-by":"crossref","first-page":"972","DOI":"10.2307\/2373257","article-title":"Studies in equisingularity II","volume":"87","author":"Zariski","year":"1965","journal-title":"Amer. J. Math"},{"key":"10.1016\/S0747-7171(88)80010-5_bib20","first-page":"1425","article-title":"On equimultiple subvarieties of algebroid hypersurfaces","volume":"72","author":"Zariski","year":"1975"}],"container-title":["Journal of Symbolic Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0747717188800105?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0747717188800105?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2018,12,30]],"date-time":"2018-12-30T08:23:44Z","timestamp":1546158224000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0747717188800105"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1988,2]]},"references-count":20,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[1988,2]]}},"alternative-id":["S0747717188800105"],"URL":"https:\/\/doi.org\/10.1016\/s0747-7171(88)80010-5","relation":{},"ISSN":["0747-7171"],"issn-type":[{"value":"0747-7171","type":"print"}],"subject":[],"published":{"date-parts":[[1988,2]]}}}