{"id":16574,"date":"2019-07-10T09:02:02","date_gmt":"2019-07-10T06:02:02","guid":{"rendered":"https:\/\/w3.bilkent.edu.tr\/tr\/?page_id=16574"},"modified":"2019-09-13T10:39:44","modified_gmt":"2019-09-13T07:39:44","slug":"ayin-sorusu-temmuz-2019","status":"publish","type":"page","link":"https:\/\/w3.bilkent.edu.tr\/tr\/ayin-sorusu-temmuz-2019\/","title":{"rendered":"Ay\u0131n Sorusu \u2013 Temmuz, A\u011fustos 2019"},"content":{"rendered":"<p><em>k<\/em> bir pozitif tam say\u0131 olmak \u00fczere,<\/p>\n<p style=\"text-align: center;\"><em>n<\/em> = 2<em>k<\/em> ise <em>R<\/em><sub><em>n<\/em><\/sub> = {\u2212<em>k<\/em>, \u2212(<em>k<\/em> \u2212 1), . . . , \u22121, 1, . . . , <em>k<\/em> \u2212 1, <em>k<\/em>}<br \/>\n<em>n<\/em> = 2<em>k<\/em> + 1 ise <em>R<\/em><sub><em>n<\/em><\/sub> = {\u2212<em>k<\/em>, \u2212(<em>k<\/em> \u2212 1), . . . , \u22121, 0, 1, . . . , <em>k<\/em> \u2212 1, <em>k<\/em>}<\/p>\n<p>olsun. Bir d\u00fczenek birka\u00e7 bilyeden ve baz\u0131 bilye ikililerini birle\u015ftiren k\u0131rm\u0131z\u0131 veya beyaz<br \/>\niplerden olu\u015fuyor. Her bir bilyeye <em>R<sub>n<\/sub><\/em> k\u00fcmesindeki say\u0131lardan birinin, iple birle\u015ftirilmi\u015f<br \/>\nherhangi iki bilyenin say\u0131lar\u0131 farkl\u0131 olacak bi\u00e7imde yaz\u0131lmas\u0131na iyi etiketleme diyelim. Her<br \/>\nbir bilyeye <em>R<\/em><sub><em>n<\/em><\/sub> k\u00fcmesindeki say\u0131lardan birinin, beyaz bir iple birle\u015ftirilmi\u015f herhangi iki bilyenin say\u0131lar\u0131 farkl\u0131 olacak, k\u0131rm\u0131z\u0131 bir iple birle\u015ftirilmi\u015f herhangi iki bilyenin say\u0131lar\u0131n\u0131n<br \/>\ntoplam\u0131 0 olmayacak \u015fekilde yaz\u0131lmas\u0131na hassas etiketleme diyelim.<\/p>\n<p><em>n<\/em> \u2265 3 olmak \u00fczere, <em>R<sub>n<\/sub><\/em> ile iyi etiketlenebilen her d\u00fczenek <em>R<\/em><sub><em>m<\/em><\/sub> ile hassas etiketlenebiliyorsa,<br \/>\n<em>m<\/em> nin alabilece\u011f en k\u00fc\u00e7\u00fck de\u011fer nedir?<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Soruyu \u00c7\u00f6zenler:<\/strong><\/p>\n<ul>\n<li>Toshihiro Shimizu Kawasaki, Japonya<\/li>\n<li>Max Nilsson Lund, \u0130sve\u00e7<\/li>\n<li>Vedat Deveci\u00a0\u0130stanbul<\/li>\n<li>Halil \u00d6zkan\u00a0Denizli \u00d6zel Denizli Koleji,\u00a0 Denizli<\/li>\n<li>Halil Alperen G\u00f6zeten\u00a0Denizli \u00d6zel Denizli Koleji,\u00a0 Denizli<\/li>\n<li>Roger Bengtsson\u00a0Lund, \u0130sve\u00e7<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ul>\n<li><strong>\u00c7\u00f6z\u00fcm\u00fc:\u00a0<\/strong><a href=\"http:\/\/www.fen.bilkent.edu.tr\/~cvmath\/Soru\/1908c.pdf\">http:\/\/www.fen.bilkent.edu.tr\/~cvmath\/Soru\/1908c.pdf<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>k bir pozitif tam say\u0131 olmak \u00fczere, n = 2k ise Rn = {\u2212k, \u2212(k \u2212 1), . . . , \u22121, 1, . . . , k \u2212 1, k} n = 2k + 1 ise Rn = {\u2212k, \u2212(k \u2212 1), . . . , \u22121, 0, 1, [\u2026] <\/p>\n<div class=\"clear\"><\/div>\n<p><a class=\"more_link clearfix\" href=\"https:\/\/w3.bilkent.edu.tr\/tr\/ayin-sorusu-temmuz-2019\/\" 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-16574","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/pages\/16574","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=16574"}],"version-history":[{"count":6,"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/pages\/16574\/revisions"}],"predecessor-version":[{"id":17129,"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/pages\/16574\/revisions\/17129"}],"wp:attachment":[{"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/media?parent=16574"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}