{"id":15393,"date":"2025-07-15T13:34:53","date_gmt":"2025-07-15T13:34:53","guid":{"rendered":"https:\/\/functiontranslator.com\/tumhataislev\/"},"modified":"2021-02-25T16:26:28","modified_gmt":"2021-02-25T16:26:28","slug":"erfc","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/tr\/erfc\/","title":{"rendered":"T\u00dcMHATA\u0130\u015eLEV"},"content":{"rendered":"<p>ERFC, hem Excel hem de Google Sheets&#8217;te bulunan ve tamamlay\u0131c\u0131 hata fonksiyonu olarak bilinen bir matematiksel fonksiyondur. Bu fonksiyon, 0&#8217;dan z&#8217;ye kadar olan ve form\u00fcl\u00fc e<sup>-x<sup>2<\/sup><\/sup> olan integrali hesaplamak i\u00e7in kullan\u0131l\u0131r. \u00c7o\u011funlukla istatistiksel analizlerde, normal da\u011f\u0131l\u0131m hesaplamalar\u0131nda ve \u00e7e\u015fitli bilimsel ara\u015ft\u0131rmalarda tercih edilir.<\/p>\n<h2>ERFC Fonksiyonunun S\u00f6zdizimi ve Kullan\u0131m\u0131<\/h2>\n<p>ERFC fonksiyonunun s\u00f6zdizimi a\u015fa\u011f\u0131daki \u015fekildedir:<\/p>\n<pre><code>=ERFC(x)<\/code><\/pre>\n<p>Burada &#8220;x&#8221;, fonksiyonun hesaplanmas\u0131n\u0131 istedi\u011finiz de\u011ferdir.<\/p>\n<p><strong>\u00d6rnek:<\/strong> E\u011fer x = 1 i\u00e7in ERFC fonksiyonunu de\u011ferlendirmek isterseniz, form\u00fcl \u015f\u00f6yle yaz\u0131l\u0131r:<\/p>\n<pre><code>=ERFC(1)<\/code><\/pre>\n<p>Bu form\u00fcl, 0&#8217;dan 1&#8217;e kadar olan aral\u0131kta e<sup>-x<sup>2<\/sup><\/sup> fonksiyonunun tamamlay\u0131c\u0131 integral de\u011ferini d\u00f6nd\u00fcr\u00fcr.<\/p>\n<h2>Pratik Kullan\u0131m Senaryolar\u0131<\/h2>\n<p>ERFC fonksiyonu bir dizi pratik durumda kullan\u0131labilir. \u0130\u015fte iki yayg\u0131n senaryo:<\/p>\n<h2>Birinci Senaryo &#8211; G\u00fcven Aral\u0131\u011f\u0131 Hesaplamalar\u0131<\/h2>\n<p>Bir \u00fcretim s\u00fcrecinde kalite kontrol amac\u0131yla belirli bir g\u00fcven aral\u0131\u011f\u0131nda hata olas\u0131l\u0131\u011f\u0131n\u0131 hesaplamak isteyebiliriz. Bu durumda, belirlenen tolerans d\u0131\u015f\u0131 hata yapma olas\u0131l\u0131\u011f\u0131n\u0131 ERFC fonksiyonu kullanarak de\u011ferlendirebiliriz.<\/p>\n<p><strong>Problem:<\/strong> Ortalama de\u011feri 100 ve standart sapmas\u0131 15 olan normal da\u011f\u0131l\u0131ma sahip bir \u00fcretim s\u00fcrecinde, ortalaman\u0131n 125 \u00fcst\u00fcne \u00e7\u0131kma olas\u0131l\u0131\u011f\u0131n\u0131 hesaplay\u0131n.<\/p>\n<p><strong>\u00c7\u00f6z\u00fcm:<\/strong><\/p>\n<pre><code>Z = (X - ortalama) \/ standart sapma Z = (125 - 100) \/ 15 Z = 1.67 Hata olas\u0131l\u0131\u011f\u0131 = ERFC(Z \/ \u221a2) = ERFC(1.67 \/ \u221a2) = ERFC(1.18)<\/code><\/pre>\n<p>Bu hesaplama ile 125&#8217;ten fazla hata yapma olas\u0131l\u0131\u011f\u0131n\u0131 belirleyebilirsiniz.<\/p>\n<h2>\u0130kinci Senaryo &#8211; Bilimsel Ara\u015ft\u0131rmalarda Kullan\u0131m<\/h2>\n<p>Bilimsel ara\u015ft\u0131rmalar, \u00e7e\u015fitli fenomenlerin da\u011f\u0131l\u0131m\u0131n\u0131 s\u0131k\u00e7a analiz eder ve bu da\u011f\u0131l\u0131mlar genellikle normal da\u011f\u0131l\u0131m \u00f6zellikleri g\u00f6steriyorsa, ERFC fonksiyonu \u00f6nemli bir ara\u00e7 olabilir.<\/p>\n<p><strong>Problem:<\/strong> Bir ara\u015ft\u0131rmac\u0131, belirli bir kimyasal konsantrasyonunun \u00e7evredeki da\u011f\u0131l\u0131m\u0131n\u0131 modellemek ve bu konuda y\u00fcksek konsantrasyonlu b\u00f6lgelerdeki olas\u0131l\u0131\u011f\u0131 hesaplamak istiyor.<\/p>\n<p><strong>\u00c7\u00f6z\u00fcm:<\/strong><\/p>\n<pre><code>Konsantrasyon limiti = 80 ppm Ortalama konsantrasyon = 50 ppm Standart sapma = 10 ppm Z = (limit - ortalama) \/ standart sapma Z = (80 - 50) \/ 10 Z = 3 Olas\u0131l\u0131k = ERFC(Z \/ \u221a2) = ERFC(3 \/ \u221a2) = ERFC(2.12)<\/code><\/pre>\n<p>Bu hesaplamayla, belirlenen konsantrasyon limitinin \u00e7evredeki da\u011f\u0131l\u0131m olas\u0131l\u0131\u011f\u0131n\u0131 bulabilirsiniz.<\/p>\n<p>Do\u011fru bir \u015fekilde kullan\u0131ld\u0131\u011f\u0131nda, Excel ve Google Sheets&#8217;teki ERFC fonksiyonu, \u00e7ok say\u0131da alan i\u00e7in de\u011ferli hesaplamalar yapman\u0131z\u0131 sa\u011flar ve \u00f6zellikle normal da\u011f\u0131l\u0131m analizlerinde \u00e7ok faydal\u0131 bir ara\u00e7t\u0131r.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tamamlay\u0131c\u0131 hata i\u015flevini verir<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[583],"tags":[],"class_list":["post-15393","post","type-post","status-publish","format-standard","hentry","category-muhendislik"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.8 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Excel&#039;de ERFC (T\u00dcMHATA\u0130\u015eLEV) Fonksiyonu: Nas\u0131l \u00c7al\u0131\u015f\u0131r, Kullan\u0131m \u00d6rnekleri<\/title>\n<meta name=\"description\" content=\"Excel ve Google E-Tablolar&#039;da ERFC (T\u00dcMHATA\u0130\u015eLEV) fonksiyonunun detayl\u0131 incelemesi. 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