{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,20]],"date-time":"2026-08-20T15:27:49Z","timestamp":1787239669070,"version":"build-2736575974"},"reference-count":6,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM Rev."],"published-print":{"date-parts":[[1993,12]]},"abstract":"<jats:p>The authors present an elementary scheme for calculating the period of oscillation or rotation of a simple pendulum. It is based on the invariance of the complete elliptic integral of the first kind under the arithmetic-geometric mean iteration. They explain how this scheme can be interpreted as an example of renormalization, a technique with many recent applications in both physics and applied mathematics.<\/jats:p>","DOI":"10.1137\/1035140","type":"journal-article","created":{"date-parts":[[2005,3,7]],"date-time":"2005-03-07T02:32:15Z","timestamp":1110162735000},"page":"631-640","source":"Crossref","is-referenced-by-count":6,"title":["Renormalizing the Simple Pendulum"],"prefix":"10.1137","volume":"35","author":[{"given":"Shaun","family":"Bullett","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jaroslav","family":"Stark","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,7,12]]},"reference":[{"key":"R1","volume-title":"A Course of Modern Analysis","author":"Whittaker E. T.","year":"1927"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1137\/1026073"},{"key":"R3","volume-title":"Pi and the AGM","author":"Borwein Jonathan M.","year":"1987"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.2307\/2325206"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1016\/0040-9383(91)90004-N"},{"key":"R6","volume-title":"Introduction to dynamics","author":"Percival Ian","year":"1982"}],"container-title":["SIAM Review"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/1035140","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,20]],"date-time":"2026-08-20T14:44:35Z","timestamp":1787237075000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/1035140"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1993,12]]},"references-count":6,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1993,12]]}},"alternative-id":["10.1137\/1035140"],"URL":"https:\/\/doi.org\/10.1137\/1035140","relation":{},"ISSN":["0036-1445","1095-7200"],"issn-type":[{"value":"0036-1445","type":"print"},{"value":"1095-7200","type":"electronic"}],"subject":[],"published":{"date-parts":[[1993,12]]}}}