{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,28]],"date-time":"2025-03-28T01:38:58Z","timestamp":1743125938529,"version":"3.40.3"},"publisher-location":"Cham","reference-count":9,"publisher":"Springer Nature Switzerland","isbn-type":[{"type":"print","value":"9783031467776"},{"type":"electronic","value":"9783031467783"}],"license":[{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2023]]},"DOI":"10.1007\/978-3-031-46778-3_32","type":"book-chapter","created":{"date-parts":[[2023,11,24]],"date-time":"2023-11-24T06:02:05Z","timestamp":1700805725000},"page":"331-334","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Computing at\u00a0Least One of\u00a0Two Roots of\u00a0a\u00a0Polynomial is, in\u00a0General, Not Algorithmic"],"prefix":"10.1007","author":[{"given":"Vladik","family":"Kreinovich","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2023,11,25]]},"reference":[{"key":"32_CR1","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-33099-2","volume-title":"Algorithms in Real Algebraic Geometry","author":"S Basu","year":"2006","unstructured":"Basu, S., Pollack, R., Roy, M.-F.: Algorithms in Real Algebraic Geometry. Springer-Verlag, Berlin (2006). https:\/\/doi.org\/10.1007\/3-540-33099-2"},{"key":"32_CR2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-68952-9","volume-title":"Foundations of Constructive Mathematics: Metamathematical Studies","author":"M Beeson","year":"1985","unstructured":"Beeson, M.: Foundations of Constructive Mathematics: Metamathematical Studies. Springer, Berlin (1985). https:\/\/doi.org\/10.1007\/978-3-642-68952-9"},{"key":"32_CR3","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-2495-0","volume-title":"Rigorous Global Search: Continuous Problems","author":"RB Kearfott","year":"1996","unstructured":"Kearfott, R.B.: Rigorous Global Search: Continuous Problems. Kluwer, Dordrecht (1996)"},{"key":"32_CR4","unstructured":"Kreinovich, V.: Uniqueness implies algorithmic computability. In: Proceedings of the 4th Student Mathematical Conference, Leningrad University, Leningrad, pp. 19\u201321 (1975) (in Russian)"},{"key":"32_CR5","unstructured":"Kreinovich, V.: Categories of space-time models, Ph.D. dissertation, Novosibirsk, Soviet Academy of Sciences, Siberian Branch, Institute of Mathematics (1979) (in Russian)"},{"key":"32_CR6","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-2793-7","volume-title":"Computational Complexity and Feasibility of Data Processing and Interval Computations","author":"V Kreinovich","year":"1998","unstructured":"Kreinovich, V., Lakeyev, A., Rohn, J., Kahl, P.: Computational Complexity and Feasibility of Data Processing and Interval Computations. Kluwer, Dordrecht (1998)"},{"key":"32_CR7","unstructured":"Kushner, B.A.: Lectures on Constructive Mathematical Analysis. American Mathematical Soc., Providence, RI (1985)"},{"key":"32_CR8","unstructured":"Mishra, B.: Computational real algebraic geometry. In: Handbook on Discreet and Computational Geometry, CRC Press (1997)"},{"key":"32_CR9","series-title":"Texts and Monographs in Symbolic Computation","doi-asserted-by":"publisher","first-page":"24","DOI":"10.1007\/978-3-7091-9459-1_3","volume-title":"Quantifier Elimination and Cylindrical Algebraic Decomposition","author":"A Tarski","year":"1951","unstructured":"Tarski, A.: A decision method for elementary algebra and geometry. In: Caviness, B.F., Johnson, J.R. (eds.) Quantifier Elimination and Cylindrical Algebraic Decomposition. Texts and Monographs in Symbolic Computation, 2nd edn., pp. 24\u201384. Springer, Vienna (1951). https:\/\/doi.org\/10.1007\/978-3-7091-9459-1_3","edition":"2"}],"container-title":["Lecture Notes in Networks and Systems","Fuzzy Information Processing 2023"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-46778-3_32","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,11,24]],"date-time":"2023-11-24T06:05:52Z","timestamp":1700805952000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-46778-3_32"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023]]},"ISBN":["9783031467776","9783031467783"],"references-count":9,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-46778-3_32","relation":{},"ISSN":["2367-3370","2367-3389"],"issn-type":[{"type":"print","value":"2367-3370"},{"type":"electronic","value":"2367-3389"}],"subject":[],"published":{"date-parts":[[2023]]},"assertion":[{"value":"25 November 2023","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"NAFIPS","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"North American Fuzzy Information Processing Society Annual Conference","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Cincinnati, OH","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"USA","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2023","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"31 May 2023","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2 June 2023","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"nafips2023","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/nafips2023.com\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}