{"id":3593,"date":"2024-11-11T10:15:11","date_gmt":"2024-11-11T07:15:11","guid":{"rendered":"https:\/\/fatihsoysal.com\/blog\/on-log-n-karmasikligini-anlamak-bir-kilavuz\/"},"modified":"2024-11-11T10:15:11","modified_gmt":"2024-11-11T07:15:11","slug":"on-log-n-karmasikligini-anlamak-bir-kilavuz","status":"publish","type":"post","link":"https:\/\/fatihsoysal.com\/blog\/on-log-n-karmasikligini-anlamak-bir-kilavuz\/","title":{"rendered":"O(n log n) Karma\u015f\u0131kl\u0131\u011f\u0131n\u0131 Anlamak: Bir K\u0131lavuz"},"content":{"rendered":"<p>O(n log n) Karma\u015f\u0131kl\u0131\u011f\u0131n\u0131 Anlamak: Bir K\u0131lavuz<\/p>\n<p>Bilgisayar biliminde, algoritmalar\u0131n verimliliklerini \u00f6l\u00e7mek i\u00e7in farkl\u0131 karma\u015f\u0131kl\u0131k s\u0131n\u0131fland\u0131rmalar\u0131 kullan\u0131l\u0131r. Bu s\u0131n\u0131fland\u0131rmalardan biri de O(n log n) karma\u015f\u0131kl\u0131\u011f\u0131n\u0131 ifade eder. O(n log n) karma\u015f\u0131kl\u0131\u011f\u0131na sahip algoritmalar, genellikle daha verimli algoritmalar olarak kabul edilir, ancak baz\u0131lar\u0131 i\u00e7in kavram\u0131 anlamak zor olabilir. Bu makale, O(n log n) karma\u015f\u0131kl\u0131\u011f\u0131n\u0131 sezgisel olarak anlaman\u0131za yard\u0131mc\u0131 olmak i\u00e7in ad\u0131m ad\u0131m bir rehber sunmaktad\u0131r.<\/p>\n<h2>O(n log n) Karma\u015f\u0131kl\u0131\u011f\u0131 Nedir?<\/h2>\n<p>O(n log n) karma\u015f\u0131kl\u0131\u011f\u0131, bir algoritman\u0131n \u00e7al\u0131\u015fma zaman\u0131n\u0131n girdi b\u00fcy\u00fckl\u00fc\u011f\u00fcne (n) g\u00f6re logaritmik olarak artmas\u0131 anlam\u0131na gelir. Bu, n de\u011feri artt\u0131k\u00e7a, algoritman\u0131n \u00e7al\u0131\u015fma s\u00fcresi de n&#8217;nin logaritmas\u0131 kadar artacakt\u0131r. Logaritmik fonksiyonlar\u0131n do\u011fas\u0131 gere\u011fi, n artarken log n \u00e7ok daha yava\u015f artacakt\u0131r.<\/p>\n<h2>O(n log n) Karma\u015f\u0131kl\u0131\u011f\u0131 Nas\u0131l \u00c7al\u0131\u015f\u0131r?<\/h2>\n<p>O(n log n) karma\u015f\u0131kl\u0131\u011f\u0131n\u0131 anlamak i\u00e7in, algoritman\u0131n nas\u0131l \u00e7al\u0131\u015ft\u0131\u011f\u0131n\u0131 ve \u00e7al\u0131\u015fma s\u00fcresini etkileyen fakt\u00f6rleri incelemek faydal\u0131 olabilir. \u0130\u015fte O(n log n) karma\u015f\u0131kl\u0131\u011f\u0131n\u0131 g\u00f6steren yayg\u0131n bir \u00f6rnek: **H\u0131zl\u0131 S\u0131ralama (Quicksort)** algoritmas\u0131.<\/p>\n<h3>H\u0131zl\u0131 S\u0131ralama Algoritmas\u0131<\/h3>\n<p>H\u0131zl\u0131 S\u0131ralama, bir listeyi s\u0131ralayan rekursif bir algoritmad\u0131r. \u00c7al\u0131\u015fma prensibi \u015fu \u015fekildedir:<\/p>\n<p>1. **Pivot Se\u00e7imi:** Listeden rastgele bir eleman pivot olarak se\u00e7ilir.<br \/>\n2. **B\u00f6lme:** Liste, pivot&#8217;tan k\u00fc\u00e7\u00fck, e\u015fit ve b\u00fcy\u00fck elemanlar olacak \u015fekilde \u00fc\u00e7 alt listeye b\u00f6l\u00fcn\u00fcr.<br \/>\n3. **Rek\u00fcrsif S\u0131ralama:** \u00dc\u00e7 alt liste de rekursif olarak ayn\u0131 y\u00f6ntemle s\u0131ralan\u0131r.<br \/>\n4. **Birle\u015ftirme:** S\u0131ralanan alt listeler birle\u015ftirilerek s\u0131ral\u0131 liste elde edilir.<\/p>\n<p>H\u0131zl\u0131 S\u0131ralama&#8217;n\u0131n O(n log n) karma\u015f\u0131kl\u0131\u011f\u0131n\u0131 g\u00f6steren \u015fema \u015fu \u015fekildedir:<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/i.imgur.com\/U7G6vX6.png\" alt=\"H\u0131zl\u0131 S\u0131ralama \u015eemas\u0131\"><\/p>\n<h3>\u00c7al\u0131\u015fma Zaman\u0131 Analizi<\/h3>\n<p>H\u0131zl\u0131 S\u0131ralama&#8217;n\u0131n \u00e7al\u0131\u015fma s\u00fcresi, b\u00f6lme i\u015fleminin tekrarlanma say\u0131s\u0131 ile ilgilidir. Her ad\u0131mda, liste ikiye b\u00f6l\u00fcn\u00fcr ve bu i\u015flem n kere tekrarlanabilir. Bu, **n** ad\u0131mlar\u0131n\u0131 g\u00f6sterir.<\/p>\n<p>Ancak her ad\u0131mda, listenin boyutu yar\u0131ya indirilir. Bu, logaritmik bir davran\u0131\u015f\u0131 g\u00f6sterir. Listenin boyutu 1&#8217;e d\u00fc\u015fene kadar **log n** ad\u0131mda b\u00f6l\u00fcn\u00fcr.<\/p>\n<p>Bu nedenle, H\u0131zl\u0131 S\u0131ralama&#8217;n\u0131n \u00e7al\u0131\u015fma zaman\u0131 **n** ad\u0131mlar\u0131n **log n** kere tekrarlanmas\u0131na e\u015fittir, yani O(n log n) karma\u015f\u0131kl\u0131\u011f\u0131na sahiptir.<\/p>\n<h2>O(n log n) Karma\u015f\u0131kl\u0131\u011f\u0131n\u0131 Anlamak \u0130\u00e7in \u00d6rnekler<\/h2>\n<p>O(n log n) karma\u015f\u0131kl\u0131\u011f\u0131n\u0131 anlamak i\u00e7in g\u00fcnl\u00fck hayattan birka\u00e7 \u00f6rnek verelim:<\/p>\n<p>* **Bir kitapl\u0131kta kitap arama:** Bir kitapl\u0131kta kitap ararken, genellikle kitaplar\u0131 alfabetik s\u0131rada bulursunuz. Bu, kitapl\u0131ktaki kitaplar\u0131n s\u0131ral\u0131 oldu\u011fu ve kitap ararken logaritmik bir i\u015flem (ikiye b\u00f6lme) uygulad\u0131\u011f\u0131n\u0131z\u0131 g\u00f6sterir.<br \/>\n* **Bir a\u011fa\u00e7ta bir d\u00fc\u011f\u00fcm arama:** Bir a\u011fa\u00e7ta bir d\u00fc\u011f\u00fcm ararken, k\u00f6k d\u00fc\u011f\u00fcmden ba\u015flayarak dallara inersiniz. Bu i\u015flem, logaritmik bir \u015fekilde ilerler ve d\u00fc\u011f\u00fcm\u00fc bulmak i\u00e7in **log n** ad\u0131mda bir yol izlersiniz.<\/p>\n<h2>O(n log n) Karma\u015f\u0131kl\u0131\u011f\u0131 ve Di\u011fer Karma\u015f\u0131kl\u0131k S\u0131n\u0131fland\u0131rmalar\u0131<\/h2>\n<p>O(n log n) karma\u015f\u0131kl\u0131\u011f\u0131, O(n) gibi do\u011frusal karma\u015f\u0131kl\u0131ktan daha verimlidir, ancak O(log n) gibi logaritmik karma\u015f\u0131kl\u0131ktan daha az verimlidir. A\u015fa\u011f\u0131daki tablo, farkl\u0131 karma\u015f\u0131kl\u0131k s\u0131n\u0131fland\u0131rmalar\u0131n\u0131 ve \u00f6rneklerini g\u00f6stermektedir:<\/p>\n<p>| Karma\u015f\u0131kl\u0131k | A\u00e7\u0131klama | \u00d6rnek |<br \/>\n|&#8212;|&#8212;|&#8212;|<br \/>\n| O(1) | Sabit zaman | Bir listede ilk elemana eri\u015fim |<br \/>\n| O(log n) | Logaritmik zaman | \u0130kili arama |<br \/>\n| O(n) | Do\u011frusal zaman | Bir listede t\u00fcm elemanlar\u0131 tarama |<br \/>\n| O(n log n) | Do\u011frusal logaritmik zaman | H\u0131zl\u0131 S\u0131ralama |<br \/>\n| O(n<sup>2<\/sup>) | Karesel zaman | Kabarc\u0131k S\u0131ralama |<br \/>\n| O(2<sup>n<\/sup>) | \u00dcstel zaman | T\u00fcm alt k\u00fcmeleri bulma |<\/p>\n<h2>Sonu\u00e7<\/h2>\n<p>O(n log n) karma\u015f\u0131kl\u0131\u011f\u0131, bir\u00e7ok algoritmada kullan\u0131lan \u00f6nemli bir kavramd\u0131r. Bu karma\u015f\u0131kl\u0131\u011fa sahip algoritmalar, genellikle girdi b\u00fcy\u00fckl\u00fc\u011f\u00fcn\u00fcn artt\u0131\u011f\u0131 durumlarda iyi performans g\u00f6sterir. Bu makale, O(n log n) karma\u015f\u0131kl\u0131\u011f\u0131n\u0131 sezgisel olarak anlaman\u0131z i\u00e7in temel bir anlay\u0131\u015f sunmaktad\u0131r.  Daha ayr\u0131nt\u0131l\u0131 bilgi edinmek i\u00e7in algoritma analizine dair kaynaklar\u0131 inceleyebilirsiniz.<\/p>\n<h2>Referanslar<\/h2>\n<ul>\n<li><a href=\"https:\/\/dev.to\/yo-shi\/intuitive-explanation-of-on-log-n-complexity-4kmf\">O(n log n) Complexity &#8211; Intuitive Explanation<\/a><\/li>\n<li><a href=\"https:\/\/fatihsoysal.com\">Fatih Soysal Blog<\/a><\/li>\n<\/ul>\n<p>#Etiketler: O(n log n), Karma\u015f\u0131kl\u0131k, Algoritma, H\u0131zl\u0131 S\u0131ralama, Quicksort, Logaritmik, Do\u011frusal, Verimlilik, \u00c7al\u0131\u015fma Zaman\u0131 <\/p>\n","protected":false},"excerpt":{"rendered":"O(n log n) Karma\u015f\u0131kl\u0131\u011f\u0131n\u0131 Anlamak: Bir K\u0131lavuz Bilgisayar biliminde, algoritmalar\u0131n verimliliklerini \u00f6l\u00e7mek i\u00e7in farkl\u0131 karma\u015f\u0131kl\u0131k s\u0131n\u0131fland\u0131rmalar\u0131 kullan\u0131l\u0131r. Bu&hellip;","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"csco_page_header_type":"","csco_page_load_nextpost":"","csco_page_subscribe_form":"","csco_page_contact_form":"","footnotes":""},"categories":[1],"tags":[],"class_list":{"0":"post-3593","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-genel","7":"cs-entry","8":"cs-video-wrap"},"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v20.5 (Yoast SEO v25.3.1) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>O(n log n) Karma\u015f\u0131kl\u0131\u011f\u0131n\u0131 Anlamak: Bir K\u0131lavuz<\/title>\n<meta name=\"description\" content=\"Bilgisayar biliminde, algoritmalar\u0131n verimliliklerini \u00f6l\u00e7mek i\u00e7in farkl\u0131 karma\u015f\u0131kl\u0131k s\u0131n\u0131fland\u0131rmalar\u0131 kullan\u0131l\u0131r. Bu s\u0131n\u0131fland\u0131rmalardan biri de O(n log n) karma\u015f\u0131kl\u0131\u011f\u0131n\u0131 ifade eder. O(n log n) karma\u015f\u0131kl\u0131\u011f\u0131na sahip algoritmalar, genellikle daha verimli algoritmalar olarak kabul edilir, ancak baz\u0131lar\u0131 i\u00e7in kavram\u0131 anlamak zor olabilir. Bu makale, O(n log n) karma\u015f\u0131kl\u0131\u011f\u0131n\u0131 sezgisel olarak anlaman\u0131za yard\u0131mc\u0131 olmak i\u00e7in ad\u0131m ad\u0131m bir rehber sunmaktad\u0131r.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/fatihsoysal.com\/blog\/on-log-n-karmasikligini-anlamak-bir-kilavuz\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"O(n log n) Karma\u015f\u0131kl\u0131\u011f\u0131n\u0131 Anlamak: Bir K\u0131lavuz\" \/>\n<meta property=\"og:description\" content=\"Bilgisayar biliminde, algoritmalar\u0131n verimliliklerini \u00f6l\u00e7mek i\u00e7in farkl\u0131 karma\u015f\u0131kl\u0131k s\u0131n\u0131fland\u0131rmalar\u0131 kullan\u0131l\u0131r. Bu s\u0131n\u0131fland\u0131rmalardan biri de O(n log n) karma\u015f\u0131kl\u0131\u011f\u0131n\u0131 ifade eder. 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Bu makale, O(n log n) karma\u015f\u0131kl\u0131\u011f\u0131n\u0131 sezgisel olarak anlaman\u0131za yard\u0131mc\u0131 olmak i\u00e7in ad\u0131m ad\u0131m bir rehber sunmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/fatihsoysal.com\/blog\/on-log-n-karmasikligini-anlamak-bir-kilavuz\/\" \/>\n<meta property=\"og:site_name\" content=\"Kodlar\u0131n Gizemli D\u00fcnyas\u0131\" \/>\n<meta property=\"article:published_time\" content=\"2024-11-11T07:15:11+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/i.imgur.com\/U7G6vX6.png\" \/>\n<meta name=\"author\" content=\"Fatih Soysal\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Fatih Soysal\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"4 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/fatihsoysal.com\/blog\/on-log-n-karmasikligini-anlamak-bir-kilavuz\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/fatihsoysal.com\/blog\/on-log-n-karmasikligini-anlamak-bir-kilavuz\/\"},\"author\":{\"name\":\"Fatih Soysal\",\"@id\":\"https:\/\/fatihsoysal.com\/blog\/#\/schema\/person\/002a254750921dcfd568a99e48240dd1\"},\"headline\":\"O(n log n) Karma\u015f\u0131kl\u0131\u011f\u0131n\u0131 Anlamak: Bir K\u0131lavuz\",\"datePublished\":\"2024-11-11T07:15:11+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/fatihsoysal.com\/blog\/on-log-n-karmasikligini-anlamak-bir-kilavuz\/\"},\"wordCount\":784,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/fatihsoysal.com\/blog\/#\/schema\/person\/002a254750921dcfd568a99e48240dd1\"},\"image\":{\"@id\":\"https:\/\/fatihsoysal.com\/blog\/on-log-n-karmasikligini-anlamak-bir-kilavuz\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/i.imgur.com\/U7G6vX6.png\",\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/fatihsoysal.com\/blog\/on-log-n-karmasikligini-anlamak-bir-kilavuz\/#respond\"]}],\"copyrightYear\":\"2024\",\"copyrightHolder\":{\"@id\":\"https:\/\/fatihsoysal.com\/blog\/#organization\"}},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/fatihsoysal.com\/blog\/on-log-n-karmasikligini-anlamak-bir-kilavuz\/\",\"url\":\"https:\/\/fatihsoysal.com\/blog\/on-log-n-karmasikligini-anlamak-bir-kilavuz\/\",\"name\":\"O(n log n) Karma\u015f\u0131kl\u0131\u011f\u0131n\u0131 Anlamak: Bir K\u0131lavuz\",\"isPartOf\":{\"@id\":\"https:\/\/fatihsoysal.com\/blog\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/fatihsoysal.com\/blog\/on-log-n-karmasikligini-anlamak-bir-kilavuz\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/fatihsoysal.com\/blog\/on-log-n-karmasikligini-anlamak-bir-kilavuz\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/i.imgur.com\/U7G6vX6.png\",\"datePublished\":\"2024-11-11T07:15:11+00:00\",\"description\":\"Bilgisayar biliminde, algoritmalar\u0131n verimliliklerini \u00f6l\u00e7mek i\u00e7in farkl\u0131 karma\u015f\u0131kl\u0131k s\u0131n\u0131fland\u0131rmalar\u0131 kullan\u0131l\u0131r. 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