{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,7]],"date-time":"2024-09-07T08:43:02Z","timestamp":1725698582371},"publisher-location":"Berlin, Heidelberg","reference-count":15,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642325885"},{"type":"electronic","value":"9783642325892"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2012]]},"DOI":"10.1007\/978-3-642-32589-2_30","type":"book-chapter","created":{"date-parts":[[2012,8,1]],"date-time":"2012-08-01T08:44:32Z","timestamp":1343810672000},"page":"323-334","source":"Crossref","is-referenced-by-count":2,"title":["Finite State Transducers for Modular M\u00f6bius Number Systems"],"prefix":"10.1007","author":[{"given":"Martin","family":"Delacourt","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Petr","family":"K\u016frka","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"30_CR1","unstructured":"Gosper, R.W.: Continued fractions arithmetic. Unpublished manuscript (1977), \n                  \n                    http:\/\/www.tweedledum.com\/rwg\/cfup.htm"},{"key":"30_CR2","doi-asserted-by":"crossref","unstructured":"Heckmann, R.: Big integers and complexity issues in exact real arithmetic. Electr. Notes Theor. Comput. Sci.\u00a013 (1998)","DOI":"10.1016\/S1571-0661(05)80215-4"},{"issue":"1","key":"30_CR3","doi-asserted-by":"publisher","first-page":"109","DOI":"10.1016\/j.tcs.2003.11.015","volume":"315","author":"M. Kone\u010dn\u00fd","year":"2004","unstructured":"Kone\u010dn\u00fd, M.: Real functions incrementally computable by finite automata. Theoretical Computer Science\u00a0315(1), 109\u2013133 (2004)","journal-title":"Theoretical Computer Science"},{"issue":"8","key":"30_CR4","doi-asserted-by":"publisher","first-page":"1106","DOI":"10.1109\/12.57048","volume":"39","author":"P. Kornerup","year":"1990","unstructured":"Kornerup, P., Matula, D.W.: An algorithm for redundant binary bit-pipelined rational arithmetic. IEEE Transactions on Computers\u00a039(8), 1106\u20131115 (1990)","journal-title":"IEEE Transactions on Computers"},{"key":"30_CR5","volume-title":"Topological and symbolic dynamics, Cours sp\u00e9cialis\u00e9s","author":"P. K\u016frka","year":"2003","unstructured":"K\u016frka, P.: Topological and symbolic dynamics, Cours sp\u00e9cialis\u00e9s, vol.\u00a011. Soci\u00e9t\u00e9 Math\u00e9matique de France, Paris (2003)"},{"key":"30_CR6","doi-asserted-by":"publisher","first-page":"437","DOI":"10.1088\/0951-7715\/22\/2\/011","volume":"22","author":"P. K\u016frka","year":"2009","unstructured":"K\u016frka, P.: M\u00f6bius number systems with sofic subshifts. Nonlinearity\u00a022, 437\u2013456 (2009)","journal-title":"Nonlinearity"},{"key":"30_CR7","doi-asserted-by":"crossref","unstructured":"K\u016frka, P.: Expansion of rational numbers in M\u00f6bius number systems. In: Kolyada, S., Manin, Y., Moller, M. (eds.) Dynamical Numbers: Interplay between Dynamical Systems and Number Theory. Contemporary Mathematics, vol.\u00a0532, pp. 67\u201382. American Mathematical Society (2010)","DOI":"10.1090\/conm\/532\/10483"},{"issue":"8","key":"30_CR8","doi-asserted-by":"publisher","first-page":"1097","DOI":"10.1109\/TC.2012.87","volume":"61","author":"P. K\u016frka","year":"2012","unstructured":"K\u016frka, P.: Fast arithmetical algorithms in M\u00f6bius number systems. IEEE Transactions on Computers\u00a061(8), 1097\u20131109 (2012)","journal-title":"IEEE Transactions on Computers"},{"key":"30_CR9","doi-asserted-by":"publisher","first-page":"57","DOI":"10.1088\/0951-7715\/25\/1\/57","volume":"25","author":"P. K\u016frka","year":"2012","unstructured":"K\u016frka, P.: Stern-Brocot graph in M\u00f6bius number systems. Nonlinearity\u00a025, 57\u201372 (2012)","journal-title":"Nonlinearity"},{"key":"30_CR10","doi-asserted-by":"publisher","first-page":"1031","DOI":"10.1088\/0951-7715\/23\/5\/001","volume":"23","author":"P. K\u016frka","year":"2010","unstructured":"K\u016frka, P., Kazda, A.: M\u00f6bius number systems based on interval covers. Nonlinearity\u00a023, 1031\u20131046 (2010)","journal-title":"Nonlinearity"},{"key":"30_CR11","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511626302","volume-title":"An Introduction to Symbolic Dynamics and Coding","author":"D. Lind","year":"1995","unstructured":"Lind, D., Marcus, B.: An Introduction to Symbolic Dynamics and Coding. Cambridge University Press, Cambridge (1995)"},{"issue":"2","key":"30_CR12","doi-asserted-by":"publisher","first-page":"356","DOI":"10.1016\/j.jda.2005.03.007","volume":"5","author":"M. Niqui","year":"2007","unstructured":"Niqui, M.: Exact real arithmetic on the Stern-Brocot tree. J. Discrete Algorithms\u00a05(2), 356\u2013379 (2007)","journal-title":"J. Discrete Algorithms"},{"key":"30_CR13","unstructured":"Potts, P.J.: Exact real arithmetic using M\u00f6bius transformations. PhD thesis, University of London, Imperial College, London (1998)"},{"key":"30_CR14","doi-asserted-by":"publisher","first-page":"265","DOI":"10.1007\/BF01355980","volume":"206","author":"G.N. Raney","year":"1973","unstructured":"Raney, G.N.: On continued fractions and finite automata. Mathematische Annalen\u00a0206, 265\u2013283 (1973)","journal-title":"Mathematische Annalen"},{"issue":"8","key":"30_CR15","doi-asserted-by":"publisher","first-page":"1087","DOI":"10.1109\/12.57047","volume":"39","author":"J.E. Vuillemin","year":"1990","unstructured":"Vuillemin, J.E.: Exact real computer arithmetic with continued fractions. IEEE Transactions on Computers\u00a039(8), 1087\u20131105 (1990)","journal-title":"IEEE Transactions on Computers"}],"container-title":["Lecture Notes in Computer Science","Mathematical Foundations of Computer Science 2012"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-32589-2_30.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,5,4]],"date-time":"2021-05-04T12:08:05Z","timestamp":1620130085000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-32589-2_30"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"ISBN":["9783642325885","9783642325892"],"references-count":15,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-32589-2_30","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2012]]}}}