{"id":20758,"date":"2020-12-09T10:36:22","date_gmt":"2020-12-09T07:36:22","guid":{"rendered":"https:\/\/w3.bilkent.edu.tr\/tr\/?page_id=20758"},"modified":"2021-01-11T11:24:28","modified_gmt":"2021-01-11T08:24:28","slug":"ayin-sorusu-aralik-2020","status":"publish","type":"page","link":"https:\/\/w3.bilkent.edu.tr\/tr\/ayin-sorusu-aralik-2020\/","title":{"rendered":"Ay\u0131n Sorusu \u2013 Aral\u0131k 2020"},"content":{"rendered":"<p>Her <em>k<\/em> = 1, 2, . . . , 2020 i\u00e7in <em>f\u00a0<\/em>(<em>f\u00a0<\/em>(<em>f\u00a0<\/em>(<em>k<\/em>))) = <em>k<\/em> ko\u015fulunu sa\u011flayan t\u00fcm<br \/>\n<em>f<\/em> : {1, 2, . . . , 2020} \u2192 {1, 2, . . . , 2020}<br \/>\nbirebir \u00f6rten fonksiyonlar\u0131n\u0131n say\u0131s\u0131 <em>N<\/em> olsun. <em>N<\/em> say\u0131s\u0131n\u0131n 3<sup>336<\/sup> say\u0131s\u0131n\u0131n bir kat\u0131 oldu\u011funu g\u00f6steriniz.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Soruyu \u00c7\u00f6zenler:<\/strong><\/p>\n<ul>\n<li>Toshihiro Shimizu Kawasaki, Japonya<\/li>\n<li>Chui Tsz Fung,\u00a0Hong Kong<\/li>\n<li>Steffen Weber,\u00a0Ismaning, Almanya<\/li>\n<li>Albert Stadler,\u00a0Herrliberg, \u0130svi\u00e7re<\/li>\n<li>\u0130brahim Berkay Ceylan,\u00a0Giresun Fen Lisesi<\/li>\n<li>Jepbar Asgarov,\u00a0Hitrowka, T\u00fcrkmenistan<\/li>\n<li>Tan \u00d6zalp,\u00a0Orta Do\u011fu Teknik \u00dcniversitesi, Ankara<\/li>\n<li>Magnus Jakobsson,\u00a0Lund, \u0130sve\u00e7<\/li>\n<li>Muhammed \u0130kbal Ulvi,\u00a0Orta Do\u011fu Teknik \u00dcniversitesi, Ankara<\/li>\n<li>Kadyr Annabayev,\u00a0Turkmen State Institute of Architecture and Construction, T\u00fcrkmenistan<\/li>\n<li>Roger Bengtsson,\u00a0Lund, \u0130sve\u00e7<\/li>\n<li>C\u00fcneyd \u00d6zt\u00fcrk,\u00a0Bilkent \u00dcniversitesi<\/li>\n<li>Omar Sonebi,\u00a0Lycee technique Settat, Kazablanka, Fas<\/li>\n<li>Enes Kocabey,\u00a0Google, Mountain View, ABD<\/li>\n<li>Kipp Johnson,\u00a0Oregon, ABD<\/li>\n<\/ul>\n<p><strong>\u00c7\u00f6z\u00fcm\u00fc:\u00a0<\/strong><a href=\"http:\/\/www.fen.bilkent.edu.tr\/~cvmath\/Soru\/2012c.pdf\">http:\/\/www.fen.bilkent.edu.tr\/~cvmath\/Soru\/2011c.pdf<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Her k = 1, 2, . . . , 2020 i\u00e7in f\u00a0(f\u00a0(f\u00a0(k))) = k ko\u015fulunu sa\u011flayan t\u00fcm f : {1, 2, . . . , 2020} \u2192 {1, 2, . . . , 2020} birebir \u00f6rten fonksiyonlar\u0131n\u0131n say\u0131s\u0131 N olsun. N say\u0131s\u0131n\u0131n 3336 say\u0131s\u0131n\u0131n bir kat\u0131 oldu\u011funu g\u00f6steriniz. &nbsp; Soruyu [\u2026] <\/p>\n<div class=\"clear\"><\/div>\n<p><a class=\"more_link clearfix\" href=\"https:\/\/w3.bilkent.edu.tr\/tr\/ayin-sorusu-aralik-2020\/\" rel=\"nofollow\">Read More<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-20758","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/pages\/20758","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/comments?post=20758"}],"version-history":[{"count":4,"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/pages\/20758\/revisions"}],"predecessor-version":[{"id":21011,"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/pages\/20758\/revisions\/21011"}],"wp:attachment":[{"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/media?parent=20758"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}