{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T06:37:33Z","timestamp":1776753453052,"version":"3.51.2"},"reference-count":2,"publisher":"Association for Computing Machinery (ACM)","issue":"1","license":[{"start":{"date-parts":[[1974,2,1]],"date-time":"1974-02-01T00:00:00Z","timestamp":128908800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["SIGSAM Bull."],"published-print":{"date-parts":[[1974,2]]},"abstract":"<jats:p>\n            The function F(x) = (1\/2-x) (1-x\n            <jats:sup>2<\/jats:sup>\n            )\n            <jats:sup>1\/2<\/jats:sup>\n            +x(1+(1-(1\/2+x)\n            <jats:sup>2<\/jats:sup>\n            )\n            <jats:sup>1\/2<\/jats:sup>\n            ) has a maximum at about x = .343771, where it attains the value of approximately .674981. This value is the root of an irreducible polynomial of tenth degree over the integers; the problem is to find this polynomial. The obvious way of proceeding is as follows:(1) Differentiate F(x), set it equal to zero, and clear radicals. The result is a tenth degree polynomial P(x) over the integers which has a root at about x = .343771.\n          <\/jats:p>","DOI":"10.1145\/1086823.1086825","type":"journal-article","created":{"date-parts":[[2007,1,17]],"date-time":"2007-01-17T18:32:02Z","timestamp":1169058722000},"page":"4-4","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":11,"title":["Problem #7"],"prefix":"10.1145","volume":"8","author":[{"given":"S. C.","family":"Johnson","sequence":"first","affiliation":[{"name":"Bell Laboratories, Murray Hill, New Jersey"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"R. L.","family":"Graham","sequence":"additional","affiliation":[{"name":"Bell Laboratories, Murray Hill, New Jersey"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[1974,2]]},"reference":[{"key":"e_1_2_1_1_1","unstructured":"ALTRAN User's Manual (Vol. I) W. S. Brown available from Bell Telephone Laboratories Inc. Murray Hill New Jersey 07974.  ALTRAN User's Manual (Vol. I) W. S. Brown available from Bell Telephone Laboratories Inc. Murray Hill New Jersey 07974."},{"key":"e_1_2_1_2_1","unstructured":"R. L. Graham The Largest Small Hexagon (to appear).  R. L. Graham The Largest Small Hexagon (to appear)."}],"container-title":["ACM SIGSAM Bulletin"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1086823.1086825","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/1086823.1086825","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T16:08:13Z","timestamp":1750262893000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1086823.1086825"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1974,2]]},"references-count":2,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1974,2]]}},"alternative-id":["10.1145\/1086823.1086825"],"URL":"https:\/\/doi.org\/10.1145\/1086823.1086825","relation":{},"ISSN":["0163-5824"],"issn-type":[{"value":"0163-5824","type":"print"}],"subject":[],"published":{"date-parts":[[1974,2]]},"assertion":[{"value":"1974-02-01","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}