{"id":89,"date":"2008-03-11T13:39:15","date_gmt":"2008-03-11T11:39:15","guid":{"rendered":"http:\/\/www.umitcanli.com\/school\/index.php\/2008\/03\/11\/pi-sayisi\/"},"modified":"2025-05-31T14:18:16","modified_gmt":"2025-05-31T12:18:16","slug":"pi-gezgini","status":"publish","type":"post","link":"http:\/\/www.umitcanli.com\/school\/index.php\/2008\/03\/11\/pi-gezgini\/","title":{"rendered":"Pi Gezgini"},"content":{"rendered":"<p><object type=\"application\/x-shockwave-flash\" data=\"http:\/\/www.umitcanli.com\/content\/swf\/piUI\/basicv4.swf\" width=\"450\" height=\"450\"><param name=\"movie\" value=\"http:\/\/www.umitcanli.com\/content\/swf\/piUI\/basicv4.swf\" \/><param name=\"BGCOLOR\" value=\"#FFFFFF\" \/><a title=\"You must install the Flash Plugin for your Browser in order to view this movie\"  href=\"http:\/\/www.macromedia.com\/shockwave\/download\/alternates\/\"><img src=http:\/\/www.umitcanli.com\/wp-content\/plugins\/flqt\/needplugin.gif height=\"31\"  alt=\"placeholder for flash movie\" \/><\/a><\/object><\/p>\n<blockquote><p>(Uygulama y\u00fcklendi\u011finde \u00e7emberin i\u00e7inde bir \u00fc\u00e7gen g\u00f6rm\u00fcyorsan\u0131z, sayfay\u0131 tekrar y\u00fcklemeyi deneyin. Sayfay\u0131 yeniden y\u00fcklemek i\u00e7in klavyeden F5&#8217;e basabilirsiniz.)\n<\/p><\/blockquote>\n<p>Pi Gezgini, Pi say\u0131s\u0131n\u0131n nas\u0131l hesapland\u0131\u011f\u0131n\u0131 ve dolay\u0131s\u0131yla (biraz da) ne oldu\u011funu g\u00f6stermek \u00fczere haz\u0131rlanm\u0131\u015f bir uygulamad\u0131r. Burada ama\u00e7, Pi say\u0131s\u0131n\u0131 h\u0131zl\u0131 bir \u015fekilde hesaplamak de\u011fil, say\u0131n\u0131n hesaplan\u0131\u015f\u0131na dair bir \u00f6ng\u00f6r\u00fc olu\u015fturabilmek. E\u011fer niyetiniz, Pi say\u0131s\u0131n\u0131n virg\u00fclden sonra milyar basama\u011f\u0131n\u0131 hesaplamak ya da g\u00f6rmek ise, <a href=\"http:\/\/en.wikipedia.org\/wiki\/Pi\" target=\"_blank\"> Wikipedia&#8217;da yapaca\u011f\u0131n\u0131z bir arama<\/a>, bilgisayar\u0131n\u0131zda \u00e7al\u0131\u015ft\u0131rabilece\u011finiz olduk\u00e7a geli\u015fmi\u015f programlara ula\u015fman\u0131z\u0131 sa\u011flayacakt\u0131r.<\/p>\n<p><!--more-->Uygulama, bir d\u00fczg\u00fcn \u00e7okgen ve bu d\u00fczg\u00fcn \u00e7okgene ait \u00e7evrel \u00e7emberi kullanarak, Pi say\u0131s\u0131n\u0131 hesaplar.  Bilindi\u011fi \u00fczere, \u00e7emberin \u00e7evre uzunlu\u011fu \u00e7ap\u0131na b\u00f6l\u00fcnd\u00fc\u011f\u00fcnde &#8220;Pi&#8221; olarak bildi\u011fimiz sabiti vermekte. Uygulamada, yar\u0131\u00e7ap\u0131 sabit olan \u00e7evrel \u00e7emberin i\u00e7indeki d\u00fczg\u00fcn \u00e7okgenin kenar say\u0131s\u0131 artt\u0131r\u0131l\u0131yor. Tabii ki \u00e7okgenin kenar say\u0131s\u0131 artt\u0131k\u00e7a, \u00e7okgenin \u00e7evre uzunlu\u011fu da artacak ve \u00e7emberin \u00e7evre uzunlu\u011funa yakla\u015facakt\u0131r (\u00e7evre uzunlu\u011fu \/ \u00e7ap = hesaplanan pi ). <\/p>\n<p>Hesaplan\u0131yor olan Pi say\u0131s\u0131 (\u00e7evre\/\u00e7ap) ile kar\u015f\u0131la\u015ft\u0131r\u0131lmas\u0131 i\u00e7in, en \u00fcstte, bilgisayarda tutulan Pi say\u0131s\u0131 g\u00f6steriliyor (=3,1415926535897932384626433832795). Alt\u0131ndaki ise, gayet a\u00e7\u0131k \u015fekilde \u00e7emberin \u00e7evre uzunlu\u011fu. Bu iki de\u011ferin de\u011fi\u015fmedi\u011fine dikkat edin. Bundan sonraki iki de\u011fer \u00e7okgene ba\u011fl\u0131 oldu\u011fu i\u00e7in, kenar say\u0131s\u0131 artt\u0131k\u00e7a bu de\u011ferler de de\u011fi\u015fiyor olacak. San\u0131r\u0131m bu kadar a\u00e7\u0131klama yeterli (hatta fazla) olmal\u0131.<\/p>\n<p>Vakit bulundu\u011funda, Pi say\u0131s\u0131 ile ilgili bir yaz\u0131 burada yer alacak. Pi say\u0131s\u0131n\u0131n ne oldu\u011funu, hatta ne olmad\u0131\u011f\u0131n\u0131 anlamak isteyen ve merak edenler, a\u015fa\u011f\u0131daki terimlerin anlam\u0131n\u0131 ara\u015ft\u0131rmak ve onlar \u00fczerinde d\u00fc\u015f\u00fcnmek durumundalar.<\/p>\n<li>Do\u011fal say\u0131<br \/>\n\tTam say\u0131<\/li>\n<li>Rasyonel (Kesirli) say\u0131<br \/>\n\tYo\u011funluk (Yo\u011fun K\u00fcme)<\/li>\n<li>\u0130rrasyonel Say\u0131<br \/>\n\tCebirsel say\u0131 (Algebraic Number)<br \/>\n\tA\u015fk\u0131n say\u0131 (Transcendental Number)<\/li>\n<li>reel say\u0131<\/li>\n<li>\u00c7ember, Kare<\/li>\n<p>\/\/ ve iste\u011fe ba\u011fl\u0131 olarak&#8230;<\/p>\n<li>b-normal say\u0131 (b taban\u0131na g\u00f6re normal say\u0131)<\/li>\n<li>Normal say\u0131<\/li>\n<p>Bu uygulama ile ilgili yorum yazabilir ve amac\u0131 \u00e7er\u00e7evesinde \u00f6nerilerinizi dile getirebilirsiniz&#8230;<\/p>\n<span id=\"post-ratings-89\" class=\"post-ratings\" data-nonce=\"b6307e0fd3\"><img decoding=\"async\" id=\"rating_89_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(89, 1, '1 Y\u0131ld\u0131z');\" onmouseout=\"ratings_off(4.9, 5, 0);\" onclick=\"rate_post();\" onkeypress=\"rate_post();\" style=\"cursor: pointer; border: 0px;\" \/><img decoding=\"async\" id=\"rating_89_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(89, 2, '2 Y\u0131ld\u0131z');\" onmouseout=\"ratings_off(4.9, 5, 0);\" onclick=\"rate_post();\" onkeypress=\"rate_post();\" style=\"cursor: pointer; border: 0px;\" \/><img decoding=\"async\" id=\"rating_89_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(89, 3, '3 Y\u0131ld\u0131z');\" onmouseout=\"ratings_off(4.9, 5, 0);\" onclick=\"rate_post();\" onkeypress=\"rate_post();\" style=\"cursor: pointer; border: 0px;\" \/><img decoding=\"async\" id=\"rating_89_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(89, 4, '4 Y\u0131ld\u0131z');\" onmouseout=\"ratings_off(4.9, 5, 0);\" onclick=\"rate_post();\" onkeypress=\"rate_post();\" style=\"cursor: pointer; border: 0px;\" \/><img decoding=\"async\" id=\"rating_89_5\" src=\"http:\/\/www.umitcanli.com\/school\/wp-content\/plugins\/wp-postratings\/images\/stars\/rating_half.gif\" alt=\"5 Y\u0131ld\u0131z\" title=\"5 Y\u0131ld\u0131z\" onmouseover=\"current_rating(89, 5, '5 Y\u0131ld\u0131z');\" onmouseout=\"ratings_off(4.9, 5, 0);\" onclick=\"rate_post();\" onkeypress=\"rate_post();\" style=\"cursor: pointer; border: 0px;\" \/> (<strong>9<\/strong> ki\u015finin oyu ile <strong>5<\/strong> \u00fczerinden ortalama <strong>4,89<\/strong> verilmi\u015f)<\/span><span id=\"post-ratings-89-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_89\" class=\"pvc_stats all  \" data-element-id=\"89\" 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>(Uygulama y\u00fcklendi\u011finde \u00e7emberin i\u00e7inde bir \u00fc\u00e7gen g\u00f6rm\u00fcyorsan\u0131z, sayfay\u0131 tekrar y\u00fcklemeyi deneyin. Sayfay\u0131 yeniden y\u00fcklemek i\u00e7in klavyeden F5&#8217;e basabilirsiniz.) Pi Gezgini, Pi say\u0131s\u0131n\u0131n nas\u0131l hesapland\u0131\u011f\u0131n\u0131 ve dolay\u0131s\u0131yla (biraz da) ne oldu\u011funu g\u00f6stermek \u00fczere haz\u0131rlanm\u0131\u015f bir uygulamad\u0131r. Burada ama\u00e7, Pi say\u0131s\u0131n\u0131 h\u0131zl\u0131 &hellip; <a href=\"http:\/\/www.umitcanli.com\/school\/index.php\/2008\/03\/11\/pi-gezgini\/\">Okumaya devam et <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n<div class=\"pvc_clear\"><\/div>\n<p id=\"pvc_stats_89\" class=\"pvc_stats all  \" data-element-id=\"89\" 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":[6,346,16,10,3,2],"tags":[418,65,67,71,72,69,50,424,63,416,70,60,68,64,61,62,48,224,225],"class_list":["post-89","post","type-post","status-publish","format-standard","hentry","category-actionscript","category-etkilesimli-uygulama","category-geometri","category-gorsel-tasarim","category-matematik","category-okul","tag-actionscript","tag-askin","tag-cebirsel","tag-cember","tag-cokgen","tag-devirli","tag-flash","tag-geometri","tag-gercel","tag-matematik","tag-normal","tag-pi","tag-polinom","tag-rasyonel","tag-reel","tag-sayi","tag-swf","tag-224","tag-225"],"a3_pvc":{"activated":true,"total_views":3865,"today_views":0},"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/pc2dpV-1r","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"http:\/\/www.umitcanli.com\/school\/index.php\/wp-json\/wp\/v2\/posts\/89","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=89"}],"version-history":[{"count":5,"href":"http:\/\/www.umitcanli.com\/school\/index.php\/wp-json\/wp\/v2\/posts\/89\/revisions"}],"predecessor-version":[{"id":836,"href":"http:\/\/www.umitcanli.com\/school\/index.php\/wp-json\/wp\/v2\/posts\/89\/revisions\/836"}],"wp:attachment":[{"href":"http:\/\/www.umitcanli.com\/school\/index.php\/wp-json\/wp\/v2\/media?parent=89"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.umitcanli.com\/school\/index.php\/wp-json\/wp\/v2\/categories?post=89"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.umitcanli.com\/school\/index.php\/wp-json\/wp\/v2\/tags?post=89"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}