{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,2]],"date-time":"2025-08-02T17:56:53Z","timestamp":1754157413415,"version":"3.41.2"},"reference-count":6,"publisher":"Emerald","issue":"6","license":[{"start":{"date-parts":[[2009,6,12]],"date-time":"2009-06-12T00:00:00Z","timestamp":1244764800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.emerald.com\/insight\/site-policies"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2009,6,12]]},"abstract":"<jats:sec><jats:title content-type=\"abstract-heading\">Purpose<\/jats:title><jats:p>The purpose of this paper is to advance research that portrays chaos in number theory. Classical and quantum physics, and lately pure mathematics and system that exhibit deductive inference produced randomness and unpredictability over time.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Design\/methodology\/approach<\/jats:title><jats:p>This paper discusses the fact that in raising numbers to higher powers, it is noticed that the scale of intensities of order and tidiness is very poor and chaos occurs mainly when numbers are raised to even powers. When numbers are raised to odd powers, the chaos is obtained still, but was able to extract order from this chaos strangely enough.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Findings<\/jats:title><jats:p>Linear relationships if left to themselves long enough will eventually produce disorderly chaotic and inconsistent results. Chaos are being found where the order was thought to be found. But then, looking more closely, unexplained order is being found in what looked like chaos.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Practical implications<\/jats:title><jats:p>The results of this research may be applied to develop algorithms for random number generation and also for developing encryption algorithms for routers security and privacy.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Originality\/value<\/jats:title><jats:p>The paper tackles one of the most unexplained phenomena where scientists are findings chaos where they thought they would find order.<\/jats:p><\/jats:sec>","DOI":"10.1108\/03684920910973216","type":"journal-article","created":{"date-parts":[[2009,7,4]],"date-time":"2009-07-04T07:04:24Z","timestamp":1246691064000},"page":"1010-1016","source":"Crossref","is-referenced-by-count":1,"title":["Extracting order from chaos"],"prefix":"10.1108","volume":"38","author":[{"given":"Joseph","family":"Sherif","sequence":"first","affiliation":[]},{"given":"Ram","family":"Singhania","sequence":"additional","affiliation":[]}],"member":"140","reference":[{"key":"key2022021520262330400_b1","unstructured":"Chaitin, G. (1999), Information, Randomness & Incompleteness, 2nd ed., World Scientific, Singapore."},{"key":"key2022021520262330400_b2","doi-asserted-by":"crossref","unstructured":"Feigenbaum, M.J. (1980), \u201cThe metric universal properties of period doubling bifurcations and the spectrum for a route to turbulence\u201d, in Hellenman, R.H.G. (Ed.), Nonlinear Dynamics, Annals New York Academy of Sciences, New York, NY, Vol. 357, pp. 330\u20106.","DOI":"10.1111\/j.1749-6632.1980.tb29699.x"},{"key":"key2022021520262330400_b3","unstructured":"Gleick, J. (1987), Chaos: Making a New Science, Penguin Books, New York, NY."},{"key":"key2022021520262330400_b4","unstructured":"Lorenz, E. (1996), The Essence of Chaos, University of Washington Press, Seattle, WA."},{"key":"key2022021520262330400_b5","doi-asserted-by":"crossref","unstructured":"Parsons, C. (1995), \u201cPlatonism and mathematical intuition in Kurt G\u00f6del's thought\u201d, The Bulletin of Symbolic Logic, Vol. 1 No. 1, pp. 44\u201074.","DOI":"10.2307\/420946"},{"key":"key2022021520262330400_b6","unstructured":"Prigogine, I. and Stengers, I. (1984), Order out of Chaos: Man's New Dialogue with Nature, Bantam, Toronto."}],"container-title":["Kybernetes"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.emeraldinsight.com\/doi\/full-xml\/10.1108\/03684920910973216","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.emerald.com\/insight\/content\/doi\/10.1108\/03684920910973216\/full\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.emerald.com\/insight\/content\/doi\/10.1108\/03684920910973216\/full\/html","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,24]],"date-time":"2025-07-24T23:53:41Z","timestamp":1753401221000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.emerald.com\/k\/article\/38\/6\/1010-1016\/449903"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,6,12]]},"references-count":6,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2009,6,12]]}},"alternative-id":["10.1108\/03684920910973216"],"URL":"https:\/\/doi.org\/10.1108\/03684920910973216","relation":{},"ISSN":["0368-492X"],"issn-type":[{"type":"print","value":"0368-492X"}],"subject":[],"published":{"date-parts":[[2009,6,12]]}}}