{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,3,26]],"date-time":"2024-03-26T21:56:25Z","timestamp":1711490185658},"reference-count":13,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Found. Comput. Sci."],"published-print":{"date-parts":[[2003,2]]},"abstract":"<jats:p> This paper provides a short guided tour through the world of pairing functions\u2014bijections between [Formula: see text] and [Formula: see text] \u2014as models for computational \"situations.\" After a short discussion of the computationally simplest pairing functions\u2014the Cauchy-Cantor \"diagonal\" polynomials\u2014we describe in detail two specific computational situations where pairing functions give an unexpectedly simple handle on apparently complex systems-related problems. (1) We discuss the use of pairing functions as storage mappings for rectangular arrays\/tables that are extendible, in the sense that the programmer may expand and shrink them dynamically. (2) We discuss the use of pairing functions as the basis for a mechanism for instilling accountability into Web-computing projects, by linking remote \"volunteers\" to the tasks they compute. <\/jats:p>","DOI":"10.1142\/s012905410300156x","type":"journal-article","created":{"date-parts":[[2003,6,24]],"date-time":"2003-06-24T20:53:09Z","timestamp":1056487989000},"page":"3-17","source":"Crossref","is-referenced-by-count":8,"title":["EFFICIENT PAIRING FUNCTIONS \u2014 AND WHY YOU SHOULD CARE"],"prefix":"10.1142","volume":"14","author":[{"given":"ARNOLD L.","family":"ROSENBERG","sequence":"first","affiliation":[{"name":"Dept. of Computer Science, Univ. of Massachusetts, Amherst, MA 01003, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","first-page":"242","volume":"84","author":"Cantor G.","journal-title":"J. Reine Angew. Math."},{"key":"rf2","volume-title":"Cours d'analyse de l\u00c9cole Royale Polytechnique, l\u00e8re partie: Analyse alg\u00e9brique","author":"Cauchy A. L.","year":"1821"},{"key":"rf3","volume-title":"Computability and Unsolvability","author":"Davis M.","year":"1958"},{"key":"rf4","first-page":"380","volume":"58","author":"Fueter R.","journal-title":"Vierteljschr. Naturforsch. Ges. Z\u00fcrich"},{"key":"rf5","first-page":"173","volume":"38","author":"G\u00f6del K.","journal-title":"Monatshefte f\u00fcr. Mathematik und Physik"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1016\/0022-314X(78)90035-5"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1016\/0022-314X(78)90036-7"},{"key":"rf9","volume-title":"An Introduction to the Theory of Numbers","author":"Niven I.","year":"1980"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1145\/321850.321861"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1137\/0204024"},{"key":"rf13","volume":"14","author":"Rosenberg A. L.","journal-title":"IEEE Trans. Parallel and Distr. Systs."},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1145\/322003.322006"},{"key":"rf17","first-page":"230","volume":"42","author":"Turing A. M.","journal-title":"Proc. London Math. Soc. (ser. 2)"}],"container-title":["International Journal of Foundations of Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S012905410300156X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T11:26:28Z","timestamp":1565177188000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S012905410300156X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,2]]},"references-count":13,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2003,2]]}},"alternative-id":["10.1142\/S012905410300156X"],"URL":"https:\/\/doi.org\/10.1142\/s012905410300156x","relation":{},"ISSN":["0129-0541","1793-6373"],"issn-type":[{"value":"0129-0541","type":"print"},{"value":"1793-6373","type":"electronic"}],"subject":[],"published":{"date-parts":[[2003,2]]}}}