{"id":221,"date":"2008-10-27T04:19:39","date_gmt":"2008-10-27T02:19:39","guid":{"rendered":"http:\/\/www.umitcanli.com\/school\/?p=221"},"modified":"2025-05-31T14:40:38","modified_gmt":"2025-05-31T12:40:38","slug":"11-sinif-karmasik-sayilar-calisma-kagidi-ii","status":"publish","type":"post","link":"http:\/\/www.umitcanli.com\/school\/index.php\/2008\/10\/27\/11-sinif-karmasik-sayilar-calisma-kagidi-ii\/","title":{"rendered":"11. S\u0131n\u0131f Karma\u015f\u0131k Say\u0131lar \u00c7al\u0131\u015fma K\u00e2\u011f\u0131d\u0131 II"},"content":{"rendered":"<p>Karma\u015f\u0131k say\u0131lar ile ilgili bu \u00e7al\u0131\u015fma k\u00e2\u011f\u0131d\u0131n\u0131n ana konusu \u00e7ember ve geometrik yer. Sorular, do\u011fru ve \u00e7ember denklemlerinin basit uygulamalar\u0131 oldu\u011fundan, birer analitik geometri sorusu olarak da \u00e7\u00f6z\u00fclebilirler. K\u00e2\u011f\u0131d\u0131n sonunda, mini bir sergi veya reklam niyetine, Paul Bourke&#8217;nin Mandelbrot k\u00fcmesi varyasyonlar\u0131ndan biri var. &#8220;Mandelbrot k\u00fcmesi&#8221; ad\u0131 \u00fcst\u00fcnde bir k\u00fcme. <!--more--> K\u00fcmenin bilgisayar ortam\u0131nda olu\u015fturulan grafi\u011fi, matemati\u011fe ilgi duyan veya duymayan herkesi cezbedebilecek nitelikte&#8230; Matematikle \u015fimdiye dek &#8220;zorundal\u0131k&#8221; d\u0131\u015f\u0131nda bir ba\u011f\u0131n\u0131z olmad\u0131ysa, muhtemelen matemati\u011fe bak\u0131\u015f\u0131n\u0131z\u0131 de\u011fi\u015ftirebilecek cinsten bir k\u00fcme bu. Burada ilgili bir yaz\u0131 yer alana dek, bu k\u00fcmeye ilgi duyanlar meraklar\u0131n\u0131 gidermeye \u00e7al\u0131\u015fabilirler Google veya Wikipedia&#8217;ya u\u011frayarak. Bu mevz\u00fb uzun, derin ve de bu yaz\u0131n\u0131n konusu ile amac\u0131n\u0131 a\u015ft\u0131\u011f\u0131 i\u00e7in, daha fazla uzatmadan \u00e7al\u0131\u015fma k\u00e2\u011f\u0131tlar\u0131n\u0131 sunal\u0131m:<br \/>\n\u00c7al\u0131\u015fma k\u00e2\u011f\u0131d\u0131n\u0131n \u00e7\u0131k\u0131\u015f\u0131n\u0131 alabilir veya pdf olarak bilgisayar\u0131n\u0131za kaydedebilirsiniz. \u0130yi \u00e7al\u0131\u015fmalar&#8230;<\/p>\n<p><a href=\"http:\/\/www.umitcanli.com\/content\/school\/11\/2008_2009_ComplexCirclev1.swf\" target=\"_blank\">Karma\u015f\u0131k say\u0131 \/ \u00c7ember \/ Geometrik Yer &#8211; Flash Paper<\/a><\/p>\n<p><a href=\"http:\/\/www.umitcanli.com\/content\/school\/11\/2008_2009_ComplexCirclev1.pdf\" target=\"_blank\">Karma\u015f\u0131k say\u0131 \/ \u00c7ember \/ Geometrik Yer &#8211; PDF<\/a><\/p>\n<p>Sorular\u0131 g\u00f6r\u00fcnt\u00fcleme veya \u00e7\u0131k\u0131\u015f alma ile ilgili problem ya\u015f\u0131yorsan\u0131z, <a href=\"http:\/\/www.umitcanli.com\/school\/index.php\/2007\/07\/10\/niye-yapamiyorum\/\">ilgili k\u0131s\u0131m<\/a> incelenebilir. \u0130yi \u00e7al\u0131\u015fmalar&#8230;<\/p>\n<span id=\"post-ratings-221\" class=\"post-ratings\" data-nonce=\"103e63333a\"><img decoding=\"async\" id=\"rating_221_1\" src=\"http:\/\/www.umitcanli.com\/school\/wp-content\/plugins\/wp-postratings\/images\/stars\/rating_on.gif\" alt=\"1 Y\u0131ld\u0131z\" title=\"1 Y\u0131ld\u0131z\" onmouseover=\"current_rating(221, 1, '1 Y\u0131ld\u0131z');\" onmouseout=\"ratings_off(4.1, 0, 0);\" onclick=\"rate_post();\" onkeypress=\"rate_post();\" style=\"cursor: pointer; border: 0px;\" \/><img decoding=\"async\" id=\"rating_221_2\" src=\"http:\/\/www.umitcanli.com\/school\/wp-content\/plugins\/wp-postratings\/images\/stars\/rating_on.gif\" alt=\"2 Y\u0131ld\u0131z\" title=\"2 Y\u0131ld\u0131z\" onmouseover=\"current_rating(221, 2, '2 Y\u0131ld\u0131z');\" onmouseout=\"ratings_off(4.1, 0, 0);\" onclick=\"rate_post();\" onkeypress=\"rate_post();\" style=\"cursor: pointer; border: 0px;\" \/><img decoding=\"async\" id=\"rating_221_3\" src=\"http:\/\/www.umitcanli.com\/school\/wp-content\/plugins\/wp-postratings\/images\/stars\/rating_on.gif\" alt=\"3 Y\u0131ld\u0131z\" title=\"3 Y\u0131ld\u0131z\" onmouseover=\"current_rating(221, 3, '3 Y\u0131ld\u0131z');\" onmouseout=\"ratings_off(4.1, 0, 0);\" onclick=\"rate_post();\" onkeypress=\"rate_post();\" style=\"cursor: pointer; border: 0px;\" \/><img decoding=\"async\" id=\"rating_221_4\" src=\"http:\/\/www.umitcanli.com\/school\/wp-content\/plugins\/wp-postratings\/images\/stars\/rating_on.gif\" alt=\"4 Y\u0131ld\u0131z\" title=\"4 Y\u0131ld\u0131z\" onmouseover=\"current_rating(221, 4, '4 Y\u0131ld\u0131z');\" onmouseout=\"ratings_off(4.1, 0, 0);\" onclick=\"rate_post();\" onkeypress=\"rate_post();\" style=\"cursor: pointer; border: 0px;\" \/><img decoding=\"async\" id=\"rating_221_5\" src=\"http:\/\/www.umitcanli.com\/school\/wp-content\/plugins\/wp-postratings\/images\/stars\/rating_off.gif\" alt=\"5 Y\u0131ld\u0131z\" title=\"5 Y\u0131ld\u0131z\" onmouseover=\"current_rating(221, 5, '5 Y\u0131ld\u0131z');\" onmouseout=\"ratings_off(4.1, 0, 0);\" onclick=\"rate_post();\" onkeypress=\"rate_post();\" style=\"cursor: pointer; border: 0px;\" \/> (<strong>13<\/strong> ki\u015finin oyu ile <strong>5<\/strong> \u00fczerinden ortalama <strong>4,08<\/strong> verilmi\u015f)<\/span><span id=\"post-ratings-221-loading\" class=\"post-ratings-loading\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/www.umitcanli.com\/school\/wp-content\/plugins\/wp-postratings\/images\/loading.gif\" width=\"16\" height=\"16\" class=\"post-ratings-image\" \/>Loading...<\/span>\n<div class=\"pvc_clear\"><\/div>\n<p id=\"pvc_stats_221\" class=\"pvc_stats all  \" data-element-id=\"221\" style=\"\"><i class=\"pvc-stats-icon medium\" aria-hidden=\"true\"><svg aria-hidden=\"true\" focusable=\"false\" data-prefix=\"far\" data-icon=\"chart-bar\" role=\"img\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 512 512\" class=\"svg-inline--fa fa-chart-bar fa-w-16 fa-2x\"><path fill=\"currentColor\" d=\"M396.8 352h22.4c6.4 0 12.8-6.4 12.8-12.8V108.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v230.4c0 6.4 6.4 12.8 12.8 12.8zm-192 0h22.4c6.4 0 12.8-6.4 12.8-12.8V140.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v198.4c0 6.4 6.4 12.8 12.8 12.8zm96 0h22.4c6.4 0 12.8-6.4 12.8-12.8V204.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v134.4c0 6.4 6.4 12.8 12.8 12.8zM496 400H48V80c0-8.84-7.16-16-16-16H16C7.16 64 0 71.16 0 80v336c0 17.67 14.33 32 32 32h464c8.84 0 16-7.16 16-16v-16c0-8.84-7.16-16-16-16zm-387.2-48h22.4c6.4 0 12.8-6.4 12.8-12.8v-70.4c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v70.4c0 6.4 6.4 12.8 12.8 12.8z\" class=\"\"><\/path><\/svg><\/i> <img loading=\"lazy\" decoding=\"async\" width=\"16\" height=\"16\" alt=\"Loading\" src=\"http:\/\/www.umitcanli.com\/school\/wp-content\/plugins\/page-views-count\/ajax-loader-2x.gif\" border=0 \/><\/p>\n<div class=\"pvc_clear\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Karma\u015f\u0131k say\u0131lar ile ilgili bu \u00e7al\u0131\u015fma k\u00e2\u011f\u0131d\u0131n\u0131n ana konusu \u00e7ember ve geometrik yer. Sorular, do\u011fru ve \u00e7ember denklemlerinin basit uygulamalar\u0131 oldu\u011fundan, birer analitik geometri sorusu olarak da \u00e7\u00f6z\u00fclebilirler. K\u00e2\u011f\u0131d\u0131n sonunda, mini bir sergi veya reklam niyetine, Paul Bourke&#8217;nin Mandelbrot k\u00fcmesi &hellip; <a href=\"http:\/\/www.umitcanli.com\/school\/index.php\/2008\/10\/27\/11-sinif-karmasik-sayilar-calisma-kagidi-ii\/\">Okumaya devam et <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n<div class=\"pvc_clear\"><\/div>\n<p id=\"pvc_stats_221\" class=\"pvc_stats all  \" data-element-id=\"221\" style=\"\"><i class=\"pvc-stats-icon medium\" aria-hidden=\"true\"><svg aria-hidden=\"true\" focusable=\"false\" data-prefix=\"far\" data-icon=\"chart-bar\" role=\"img\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 512 512\" class=\"svg-inline--fa fa-chart-bar fa-w-16 fa-2x\"><path fill=\"currentColor\" d=\"M396.8 352h22.4c6.4 0 12.8-6.4 12.8-12.8V108.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v230.4c0 6.4 6.4 12.8 12.8 12.8zm-192 0h22.4c6.4 0 12.8-6.4 12.8-12.8V140.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v198.4c0 6.4 6.4 12.8 12.8 12.8zm96 0h22.4c6.4 0 12.8-6.4 12.8-12.8V204.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v134.4c0 6.4 6.4 12.8 12.8 12.8zM496 400H48V80c0-8.84-7.16-16-16-16H16C7.16 64 0 71.16 0 80v336c0 17.67 14.33 32 32 32h464c8.84 0 16-7.16 16-16v-16c0-8.84-7.16-16-16-16zm-387.2-48h22.4c6.4 0 12.8-6.4 12.8-12.8v-70.4c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v70.4c0 6.4 6.4 12.8 12.8 12.8z\" class=\"\"><\/path><\/svg><\/i> <img loading=\"lazy\" decoding=\"async\" width=\"16\" height=\"16\" alt=\"Loading\" src=\"http:\/\/www.umitcanli.com\/school\/wp-content\/plugins\/page-views-count\/ajax-loader-2x.gif\" border=0 \/><\/p>\n<div class=\"pvc_clear\"><\/div>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"jetpack_post_was_ever_published":false},"categories":[93,16,3,2],"tags":[122,167,71,162,158,424,166,156,154,155,159,164,416,138,163,62,160,157,165],"class_list":["post-221","post","type-post","status-publish","format-standard","hentry","category-calisma-kagidi","category-geometri","category-matematik","category-okul","tag-122","tag-2008-2009","tag-cember","tag-daire","tag-duzlem","tag-geometri","tag-geometrik-yer","tag-i","tag-karmasik","tag-kompleks","tag-kutupsal","tag-mandelbrot","tag-matematik","tag-ortak-ozellik","tag-paul-bourke","tag-sayi","tag-standart","tag-uzaklik","tag-yaricap"],"a3_pvc":{"activated":true,"total_views":6383,"today_views":0},"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/pc2dpV-3z","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"http:\/\/www.umitcanli.com\/school\/index.php\/wp-json\/wp\/v2\/posts\/221","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.umitcanli.com\/school\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.umitcanli.com\/school\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.umitcanli.com\/school\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.umitcanli.com\/school\/index.php\/wp-json\/wp\/v2\/comments?post=221"}],"version-history":[{"count":10,"href":"http:\/\/www.umitcanli.com\/school\/index.php\/wp-json\/wp\/v2\/posts\/221\/revisions"}],"predecessor-version":[{"id":266,"href":"http:\/\/www.umitcanli.com\/school\/index.php\/wp-json\/wp\/v2\/posts\/221\/revisions\/266"}],"wp:attachment":[{"href":"http:\/\/www.umitcanli.com\/school\/index.php\/wp-json\/wp\/v2\/media?parent=221"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.umitcanli.com\/school\/index.php\/wp-json\/wp\/v2\/categories?post=221"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.umitcanli.com\/school\/index.php\/wp-json\/wp\/v2\/tags?post=221"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}