{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,5]],"date-time":"2022-04-05T13:55:49Z","timestamp":1649166949297},"reference-count":18,"publisher":"Springer Science and Business Media LLC","issue":"8","license":[{"start":{"date-parts":[[2013,5,18]],"date-time":"2013-05-18T00:00:00Z","timestamp":1368835200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Soft Comput"],"published-print":{"date-parts":[[2013,8]]},"DOI":"10.1007\/s00500-013-1008-8","type":"journal-article","created":{"date-parts":[[2013,5,17]],"date-time":"2013-05-17T01:03:17Z","timestamp":1368752597000},"page":"1357-1366","source":"Crossref","is-referenced-by-count":0,"title":["Variants of the general interval power function"],"prefix":"10.1007","volume":"17","author":[{"given":"Oliver","family":"Heimlich","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Marco","family":"Nehmeier","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J\u00fcrgen","family":"Wolff von Gudenberg","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2013,5,18]]},"reference":[{"key":"1008_CR1","unstructured":"Averbukh B, G\u00fcnther H (2008) On powers and power functions (\u00dcber die Potenzen und die Potenzfunktionen). Mathematikinformation (49):5\u201323 (german)"},{"key":"1008_CR2","unstructured":"Chiriaev D, Walster GW (1998) Interval arithmetic specification. Tech. rep."},{"key":"1008_CR3","unstructured":"Daramy-Loirat C, Defour D, de Dinechin F, Gallet M, Gast N, Lauter CQ, Muller JM (2009) CR-LIBM a library of correctly rounded elementary functions on double-precision. http:\/\/lipforge.ens-lyon.fr\/frs\/download.php\/153\/crlibm-1.0beta3.pdf . Accessed Mar 25, 2012"},{"key":"1008_CR4","unstructured":"IEEE 754, (2008) IEEE 754-2008, Standard for floating-point arithmetic. IEEE, New York"},{"key":"1008_CR5","unstructured":"IEEE P1788 (2009) IEEE interval standard working group-P1788. http:\/\/grouper.ieee.org\/groups\/1788\/"},{"key":"1008_CR6","unstructured":"ISO C90 (1990) The ANSI C standard (C90). Tech. Rep. 9899:1990, ISO\/IEC"},{"key":"1008_CR7","unstructured":"Java 6 (2011) Java Platform, Standard Edition 6: API Specification. Oracle"},{"issue":"5","key":"1008_CR8","doi-asserted-by":"crossref","first-page":"403","DOI":"10.2307\/2325085","volume":"99","author":"D Knuth","year":"1992","unstructured":"Knuth D (1992) Two notes on notation. Am Math Mon 99(5):403\u2013422","journal-title":"Am Math Mon"},{"key":"1008_CR9","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1023\/A:1025175029490","volume":"9","author":"W Kr\u00e4mer","year":"2003","unstructured":"Kr\u00e4mer W, Wolff von Gudenberg J (2003) Extended interval power function. Relia Comput 9:339\u2013347. doi: 10.1023\/A:1025175029490","journal-title":"Relia Comput"},{"key":"1008_CR10","unstructured":"Kr\u00e4mer W, Kulisch U, Lohner R (1994) Numerical toolbox for verified computing II: advanced numerical problems, Draft version. http:\/\/www2.math.uni-wuppertal.de\/~xsc\/literatur\/tb2.pdf , Accessed Dec 13, 2011"},{"issue":"2","key":"1008_CR11","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1109\/TC.2008.202","volume":"58","author":"CQ Lauter","year":"2009","unstructured":"Lauter CQ, Lef\u00e8vre V (2009) An efficient rounding boundary test for pow(x, y) in double precision. IEEE Trans Comput 58(2):197\u2013207. doi: 10.1109\/TC.2008.202","journal-title":"IEEE Trans Comput"},{"key":"1008_CR12","doi-asserted-by":"crossref","unstructured":"Moebius A (1834) \u2018Beweis der Gleichung $$0^{0}=1$$ nach J. F. Pfaff\u2019. Journal f\u00fcr die reine und angewandte Mathematik 12:134\u2013136 (german)","DOI":"10.1515\/crll.1834.12.134"},{"key":"1008_CR13","doi-asserted-by":"crossref","unstructured":"Muller JM, Brisebarre N, de Dinecin F, Jeannerod CP, Lef\u00e8vre V, Melquion G, Revol N, Stehl\u00e8 D, Torres S (2010) Handbook of floating point arithmetic. Birkh\u00e4user, Berlin","DOI":"10.1007\/978-0-8176-4705-6"},{"key":"1008_CR14","unstructured":"Petrov E (2007) Algorithm for evaluation of the interval power function of unconstrained arguments. CoRR abs\/0704.3141"},{"issue":"3","key":"1008_CR15","doi-asserted-by":"crossref","first-page":"251","DOI":"10.1007\/s00607-006-0180-4","volume":"78","author":"JD Pryce","year":"2006","unstructured":"Pryce JD, Corliss GF (2006) Interval arithmetic with containment sets. Computing 78(3):251\u2013276. doi: 10.1007\/s00607-006-0180-4","journal-title":"Computing"},{"key":"1008_CR16","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1007\/978-94-017-1247-7_7","volume-title":"Developments in reliable computing","author":"S Rump","year":"1999","unstructured":"Rump S (1999) INTLAB\u2014INTerval LABoratory. In: Csendes T (ed) Developments in reliable computing. Kluwer Academic Publishers, Dordrecht, pp 77\u2013104"},{"key":"1008_CR17","unstructured":"Truss JK (1997) Foundations of mathematical analysis. Oxford Science Publications, Clarendon Press, Oxford"},{"key":"1008_CR18","unstructured":"Wolff von Gudenberg J (2009) Motion 10, a Proposal for Elementary Functions. In: IEEE P1788(2009)"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-013-1008-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00500-013-1008-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-013-1008-8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,28]],"date-time":"2019-05-28T21:40:13Z","timestamp":1559079613000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00500-013-1008-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,5,18]]},"references-count":18,"journal-issue":{"issue":"8","published-print":{"date-parts":[[2013,8]]}},"alternative-id":["1008"],"URL":"https:\/\/doi.org\/10.1007\/s00500-013-1008-8","relation":{},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"value":"1432-7643","type":"print"},{"value":"1433-7479","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,5,18]]}}}