{"id":29841,"date":"2025-09-20T15:00:29","date_gmt":"2025-09-20T12:00:29","guid":{"rendered":"https:\/\/fatihsoysal.com\/blog\/binary-search-her-sey-dahil-kapsamli-rehber\/"},"modified":"2025-09-20T15:00:29","modified_gmt":"2025-09-20T12:00:29","slug":"binary-search-her-sey-dahil-kapsamli-rehber","status":"publish","type":"post","link":"https:\/\/fatihsoysal.com\/blog\/binary-search-her-sey-dahil-kapsamli-rehber\/","title":{"rendered":"Binary Search: Her \u015eey Dahil Kapsaml\u0131 Rehber"},"content":{"rendered":"

Binary Search: Her \u015eey Dahil Kapsaml\u0131 Rehber<\/p>\n

Milyonlarca veri i\u00e7inde spesifik bir bilgiye saniyeler i\u00e7inde ula\u015fmak m\u00fcmk\u00fcn m\u00fc? Cevap, verimli arama algoritmalar\u0131 sayesinde “evet”. Bu makalede, en etkili arama algoritmalar\u0131ndan biri olan binary search’\u00fc (ikili arama) ba\u015ftan sona ele alaca\u011f\u0131z. S\u0131f\u0131rdan ba\u015flayarak, ileri d\u00fczey tekniklere kadar uzanan bir yolculu\u011fa \u00e7\u0131kaca\u011f\u0131z. Binary search’\u00fcn temellerini, uygulamalar\u0131n\u0131 ve performans\u0131n\u0131 detayl\u0131 bir \u015fekilde inceleyece\u011fiz. Veri yap\u0131lar\u0131 ve algoritmalarla ilgili bilginizi bir \u00fcst seviyeye ta\u015f\u0131maya haz\u0131r olun!<\/p>\n

Binary Search Nedir ve Nas\u0131l \u00c7al\u0131\u015f\u0131r?<\/h2>\n

Binary search, s\u0131ral\u0131 bir veri k\u00fcmesinde bir eleman\u0131n varl\u0131\u011f\u0131n\u0131 kontrol etmek i\u00e7in kullan\u0131lan olduk\u00e7a verimli bir algoritmad\u0131r. Temel mant\u0131\u011f\u0131, arama alan\u0131n\u0131 her ad\u0131mda yar\u0131ya indirerek hedef eleman\u0131 h\u0131zl\u0131ca bulmakt\u0131r. Bu algoritma, verinin \u00f6nceden s\u0131ralanm\u0131\u015f olmas\u0131 gereklili\u011finden dolay\u0131, s\u0131ral\u0131 diziler, a\u011fa\u00e7lar ve di\u011fer s\u0131ral\u0131 veri yap\u0131lar\u0131nda etkili bir \u015fekilde kullan\u0131l\u0131r.<\/p>\n

\u00d6rne\u011fin, 1’den 100’e kadar olan say\u0131lar\u0131 i\u00e7eren bir dizi d\u00fc\u015f\u00fcnelim. Hedef say\u0131m\u0131z 50 olsun. Binary search, \u00f6nce dizinin ortas\u0131ndaki say\u0131y\u0131 (yakla\u015f\u0131k 50) kontrol eder. E\u011fer hedef say\u0131 orta noktadan k\u00fc\u00e7\u00fckse, arama sol yar\u0131s\u0131na, b\u00fcy\u00fckse sa\u011f yar\u0131s\u0131na odaklan\u0131r. Bu i\u015flem, hedef say\u0131 bulunana veya arama alan\u0131 bo\u015falana kadar tekrarlan\u0131r. Bu y\u00f6ntem, do\u011frusal arama y\u00f6ntemine g\u00f6re \u00e7ok daha h\u0131zl\u0131d\u0131r, \u00f6zellikle b\u00fcy\u00fck veri k\u00fcmeleri i\u00e7in. Do\u011frusal arama her eleman\u0131 tek tek kontrol ederken, binary search her ad\u0131mda arama alan\u0131n\u0131 yar\u0131ya indirir. Bu, logaritmik bir zaman karma\u015f\u0131kl\u0131\u011f\u0131na (O(log n)) sahip oldu\u011fu anlam\u0131na gelir, burada n veri k\u00fcmesindeki eleman say\u0131s\u0131d\u0131r. Do\u011frusal arama ise O(n) zaman karma\u015f\u0131kl\u0131\u011f\u0131na sahiptir.<\/p>\n

Binary search algoritmas\u0131n\u0131n \u00e7al\u0131\u015fma prensibini daha iyi anlamak i\u00e7in, a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 inceleyebilirsiniz:<\/p>\n

1. S\u0131ral\u0131 bir dizi belirleyin.<\/strong> Algoritman\u0131n \u00e7al\u0131\u015fmas\u0131 i\u00e7in verinin s\u0131ral\u0131 olmas\u0131 esast\u0131r.<\/p>\n

2. Dizinin orta eleman\u0131n\u0131 bulun.<\/strong> Bu, araman\u0131n ba\u015flang\u0131\u00e7 noktas\u0131 olacakt\u0131r.<\/p>\n

3. Orta eleman\u0131 hedef de\u011ferle kar\u015f\u0131la\u015ft\u0131r\u0131n.<\/strong><\/p>\n

* E\u011fer orta eleman hedef de\u011ferle e\u015fitse, arama ba\u015far\u0131l\u0131d\u0131r.
\n * E\u011fer orta eleman hedef de\u011ferden k\u00fc\u00e7\u00fckse, arama dizinin sa\u011f yar\u0131s\u0131nda devam eder.
\n * E\u011fer orta eleman hedef de\u011ferden b\u00fcy\u00fckse, arama dizinin sol yar\u0131s\u0131nda devam eder.<\/p>\n

4. 3. ad\u0131m\u0131, hedef de\u011fer bulunana veya arama alan\u0131 kalmay\u0131ncaya kadar tekrarlay\u0131n.<\/strong> Arama alan\u0131 kalmad\u0131\u011f\u0131nda, hedef de\u011fer dizide bulunmamaktad\u0131r.<\/p>\n

Binary Search Uygulama \u00d6rnekleri: Ad\u0131m Ad\u0131m Kodlama<\/h2>\n

Binary search’\u00fcn nas\u0131l uyguland\u0131\u011f\u0131n\u0131 anlamak i\u00e7in, birka\u00e7 programlama dili \u00f6rne\u011fi inceleyelim. \u0130lk olarak, Python’da basit bir binary search fonksiyonu olu\u015ftural\u0131m:<\/p>\n

def binary_search(arr, target):\n    low = 0\n    high = len(arr) - 1\n    while low <= high:\n        mid = (low + high) \/\/ 2\n        if arr[mid] == target:\n            return mid  # Hedef bulundu, indeksini d\u00f6nd\u00fcr\n        elif arr[mid] < target:\n            low = mid + 1  # Sa\u011fa kayd\u0131r\n        else:\n            high = mid - 1  # Sola kayd\u0131r\n    return -1  # Hedef bulunamad\u0131\n\n# \u00d6rnek kullan\u0131m\nsorted_array = [2, 5, 7, 8, 11, 12]\ntarget_value = 11\nindex = binary_search(sorted_array, target_value)\n\nif index != -1:\n    print(f\"Hedef de\u011fer {target_value}, dizinin {index}. indeksinde bulundu.\")\nelse:\n    print(f\"Hedef de\u011fer {target_value} dizide bulunamad\u0131.\")<\/pre>\n
<\/code><\/p>\n
Bu kod, basit bir iteratif binary search uygulamas\u0131d\u0131r.  Fonksiyon, s\u0131ral\u0131 bir dizi (arr<\/code>) ve hedef de\u011feri (target<\/code>) al\u0131r.  while<\/code> d\u00f6ng\u00fcs\u00fc, arama alan\u0131n\u0131 s\u00fcrekli olarak yar\u0131ya indirerek hedef de\u011feri arar.  Hedef de\u011fer bulunursa indeksi, bulunmazsa -1 d\u00f6nd\u00fcr\u00fcr.<\/p>\n
Java ile benzer bir uygulama:<\/p>\n
public class BinarySearch {\n    public static int binarySearch(int[] arr, int target) {\n        int low = 0;\n        int high = arr.length - 1;\n        while (low <= high) {\n            int mid = low + (high - low) \/ 2; \/\/ Say\u0131sal ta\u015fma riskini azaltmak i\u00e7in\n            if (arr[mid] == target) {\n                return mid;\n            } else if (arr[mid] < target) {\n                low = mid + 1;\n            } else {\n                high = mid - 1;\n            }\n        }\n        return -1;\n    }\n\n    public static void main(String[] args) {\n        int[] sortedArray = {2, 5, 7, 8, 11, 12};\n        int targetValue = 11;\n        int index = binarySearch(sortedArray, targetValue);\n\n        if (index != -1) {\n            System.out.println(\"Hedef de\u011fer \" + targetValue + \", dizinin \" + index + \". indeksinde bulundu.\");\n        } else {\n            System.out.println(\"Hedef de\u011fer \" + targetValue + \" dizide bulunamad\u0131.\");\n        }\n    }\n}<\/pre>\n
<\/code><\/p>\n
Bu \u00f6rnekte, Java'n\u0131n int<\/code> veri tipinde olas\u0131 ta\u015fma sorunlar\u0131n\u0131 azaltmak i\u00e7in  mid = low + (high - low) \/ 2;<\/code> form\u00fcl\u00fc kullan\u0131lm\u0131\u015ft\u0131r.<\/p>\n
Binary Search'\u00fcn Ger\u00e7ek D\u00fcnya Uygulamalar\u0131<\/h2>\n
Binary search, yaln\u0131zca akademik bir konu de\u011fildir; g\u00fcnl\u00fck ya\u015famda s\u0131k\u00e7a kar\u015f\u0131la\u015ft\u0131\u011f\u0131m\u0131z bir\u00e7ok uygulamada kullan\u0131l\u0131r.<\/p>\n
* S\u00f6zl\u00fcklerde Kelime Arama:<\/strong>  \u00c7evrimi\u00e7i s\u00f6zl\u00fckler veya mobil uygulamalar, binary search benzeri algoritmalar kullanarak kelimeleri h\u0131zla bulur.  Kelimeler alfabetik olarak s\u0131ral\u0131 oldu\u011fundan, binary search m\u00fckemmel bir \u00e7\u00f6z\u00fcmd\u00fcr.<\/p>\n
* Veritaban\u0131 Sorgulamalar\u0131:<\/strong>  Veritaban\u0131 sistemleri, b\u00fcy\u00fck miktarda veri i\u00e7inde h\u0131zl\u0131 arama yapmak i\u00e7in indeksleme ve binary search'\u00fc birle\u015ftirir.  Bu sayede, milyonlarca kay\u0131t i\u00e7inde istenen bilgiye saniyeler i\u00e7inde ula\u015f\u0131l\u0131r.<\/p>\n
* Web Arama Motorlar\u0131:<\/strong>  Google gibi arama motorlar\u0131, sayfalar\u0131 indeksler ve arama sorgular\u0131na yan\u0131t verirken verimli arama algoritmalar\u0131 kullan\u0131r.  Binary search, bu s\u00fcrecin bir par\u00e7as\u0131 olabilir, ancak daha karma\u015f\u0131k algoritmalar da dahildir.<\/p>\n
* S\u0131n\u0131fland\u0131rma Algoritmalar\u0131:<\/strong>  Makine \u00f6\u011frenmesinde, verileri s\u0131n\u0131fland\u0131rmak i\u00e7in kullan\u0131lan baz\u0131 algoritmalar (\u00f6rne\u011fin, karar a\u011fa\u00e7lar\u0131), alt k\u00fcmeleri ayr\u0131\u015ft\u0131rmak i\u00e7in binary search prensibine dayan\u0131r.<\/p>\n
* Oyun Geli\u015ftirme:<\/strong>  Oyunlarda, oyun d\u00fcnyas\u0131ndaki nesneleri veya karakterleri h\u0131zl\u0131 bir \u015fekilde bulmak i\u00e7in binary search veya benzeri algoritmalar kullan\u0131l\u0131r.<\/p>\n
Binary Search'\u00fcn Performans Analizi ve Kar\u015f\u0131la\u015ft\u0131rmas\u0131<\/h2>\n
Binary search'\u00fcn en b\u00fcy\u00fck avantaj\u0131, logaritmik zaman karma\u015f\u0131kl\u0131\u011f\u0131d\u0131r (O(log n)).  Bu, veri k\u00fcmesi ne kadar b\u00fcy\u00fck olursa olsun, arama s\u00fcresinin \u00e7ok yava\u015f bir \u015fekilde artt\u0131\u011f\u0131 anlam\u0131na gelir.  \u00d6rne\u011fin, 1 milyonluk bir veri k\u00fcmesinde, binary search, do\u011frusal arama (O(n)) ile kar\u015f\u0131la\u015ft\u0131r\u0131ld\u0131\u011f\u0131nda \u00e7ok daha h\u0131zl\u0131d\u0131r.<\/p>\n
| Algoritma | Zaman Karma\u015f\u0131kl\u0131\u011f\u0131 | Uzay Karma\u015f\u0131kl\u0131\u011f\u0131 |
\n|---|---|---|
\n| Do\u011frusal Arama | O(n) | O(1) |
\n| Binary Search | O(log n) | O(1) |<\/p>\n
Yukar\u0131daki tabloda,  do\u011frusal arama ile binary search'\u00fcn zaman ve uzay karma\u015f\u0131kl\u0131klar\u0131n\u0131 kar\u015f\u0131la\u015ft\u0131r\u0131yoruz.  Binary search'\u00fcn, \u00f6zellikle b\u00fcy\u00fck veri k\u00fcmeleri i\u00e7in \u00e7ok daha verimli oldu\u011funu g\u00f6r\u00fcyoruz.  Uzay karma\u015f\u0131kl\u0131\u011f\u0131 her iki algoritma i\u00e7in de sabittir (O(1)), \u00e7\u00fcnk\u00fc ek bellek kullanmazlar.<\/p>\n
Ancak, binary search'\u00fcn, verinin \u00f6nceden s\u0131ralanm\u0131\u015f olmas\u0131 gerekti\u011fi dezavantaj\u0131 vard\u0131r.  E\u011fer veri s\u0131ral\u0131 de\u011filse, \u00f6nce s\u0131ralama i\u015flemi ger\u00e7ekle\u015ftirilmelidir.  S\u0131ralama i\u015fleminin karma\u015f\u0131kl\u0131\u011f\u0131, veri k\u00fcmesinin b\u00fcy\u00fckl\u00fc\u011f\u00fcne ba\u011fl\u0131d\u0131r ve zaman karma\u015f\u0131kl\u0131\u011f\u0131 O(n log n) olabilir.  Bu nedenle, k\u00fc\u00e7\u00fck veri k\u00fcmeleri i\u00e7in, binary search'\u00fcn s\u0131ralamas\u0131yla birlikte ge\u00e7en s\u00fcre, do\u011frusal aramadan daha fazla olabilir.<\/p>\n
\u0130leri D\u00fczey Binary Search Teknikleri<\/h2>\n
Binary search'\u00fcn temel prensiplerini anlad\u0131ktan sonra, daha geli\u015fmi\u015f tekniklere ge\u00e7ebiliriz.<\/p>\n
* Recursive Binary Search:<\/strong> Iteratif yakla\u015f\u0131m yerine, binary search'\u00fc recursive (\u00f6zyinelemeli) olarak da uygulayabiliriz.  Bu, baz\u0131 durumlarda daha okunakl\u0131 bir kod \u00fcretebilir, ancak stack overflow riskine dikkat etmek gerekir.<\/p>\n
* Lower Bound ve Upper Bound:<\/strong>  Binary search, yaln\u0131zca hedef de\u011ferin varl\u0131\u011f\u0131n\u0131 kontrol etmekle kalmaz, ayn\u0131 zamanda hedef de\u011ferden k\u00fc\u00e7\u00fck veya b\u00fcy\u00fck olan en yak\u0131n elemanlar\u0131 da bulabilir.  Bu, lower bound (alt s\u0131n\u0131r) ve upper bound (\u00fcst s\u0131n\u0131r) kavramlar\u0131yla yap\u0131l\u0131r.<\/p>\n
* Fractional Cascading:<\/strong>  \u00c7oklu s\u0131ral\u0131 veri k\u00fcmesinde arama yaparken, fractional cascading tekni\u011fi, arama s\u00fcresini \u00f6nemli \u00f6l\u00e7\u00fcde iyile\u015ftirebilir.  Bu teknik, arama sonu\u00e7lar\u0131n\u0131 \u00f6nbelle\u011fe alarak tekrarlanan aramalar\u0131 \u00f6nler.<\/p>\n
Dikkat: Binary Search'te Yap\u0131labilecek Hatalar<\/h2>\n
Binary search'\u00fc uygularken baz\u0131 yayg\u0131n hatalara dikkat etmek \u00f6nemlidir:<\/p>\n
\n  Dikkat!<\/strong>  Orta noktan\u0131n hesaplanmas\u0131nda ta\u015fma sorunlar\u0131na kar\u015f\u0131 dikkatli olun.  mid = (low + high) \/ 2<\/code> yerine, mid = low + (high - low) \/ 2<\/code> kullanmak daha g\u00fcvenlidir.\n<\/div>\n
\n  Dikkat!<\/strong>  S\u0131n\u0131r ko\u015fullar\u0131n\u0131 do\u011fru bir \u015fekilde y\u00f6netmek \u00e7ok \u00f6nemlidir.  low<\/code> ve high<\/code> de\u011fi\u015fkenlerinin s\u0131n\u0131rlar\u0131n\u0131 do\u011fru bir \u015fekilde kontrol etmek gerekir.\n<\/div>\n
\n  Dikkat!<\/strong>  Verinin ger\u00e7ekten s\u0131ral\u0131 oldu\u011fundan emin olun.  S\u0131ral\u0131 olmayan bir veri k\u00fcmesinde binary search kullanmak, yanl\u0131\u015f sonu\u00e7lara yol a\u00e7abilir.\n<\/div>\n
\u00d6\u011frenme Yol Haritas\u0131<\/h2>\n
Yeni Ba\u015flayan:<\/strong> Binary search'\u00fcn temel mant\u0131\u011f\u0131n\u0131 anlay\u0131n, iteratif ve recursive uygulamalar\u0131n\u0131 inceleyin, basit \u00f6rnekler \u00fczerinde pratik yap\u0131n.<\/p>\n
Orta Seviye:<\/strong>  Farkl\u0131 programlama dillerinde binary search uygulamalar\u0131 geli\u015ftirin, lower bound ve upper bound konular\u0131n\u0131 \u00f6\u011frenin, ger\u00e7ek d\u00fcnya \u00f6rneklerini inceleyin.<\/p>\n
\u0130leri Seviye:<\/strong> Fractional cascading gibi geli\u015fmi\u015f teknikleri ara\u015ft\u0131r\u0131n, farkl\u0131 veri yap\u0131lar\u0131 \u00fczerinde binary search'\u00fcn uygulanmas\u0131n\u0131 inceleyin, karma\u015f\u0131kl\u0131k analizini derinlemesine \u00f6\u011frenin.  Daha fazla bilgi i\u00e7in (https:\/\/fatihsoysal.com) inceleyebilirsiniz.<\/p>\n
Sonu\u00e7<\/h2>\n
Binary search, verimli arama i\u00e7in g\u00fc\u00e7l\u00fc bir ara\u00e7t\u0131r.  Temel kavramlar\u0131 anlamak ve pratik yapmak, veri yap\u0131lar\u0131 ve algoritmalar\u0131 alan\u0131ndaki becerilerinizi geli\u015ftirecektir.  Bu makalede ele ald\u0131\u011f\u0131m\u0131z konular\u0131n, binary search'\u00fc daha iyi anlaman\u0131za ve uygulamalar\u0131nda ba\u015far\u0131l\u0131 olman\u0131za yard\u0131mc\u0131 olaca\u011f\u0131n\u0131 umuyoruz.<\/p>\n
S\u0131k\u00e7a Sorulan Sorular<\/h3>\n
* Binary search, her zaman do\u011frusal aramadan daha m\u0131 h\u0131zl\u0131d\u0131r?<\/strong>  Hay\u0131r, k\u00fc\u00e7\u00fck veri k\u00fcmeleri i\u00e7in do\u011frusal arama daha h\u0131zl\u0131 olabilir \u00e7\u00fcnk\u00fc binary search'\u00fcn verinin s\u0131ralanmas\u0131n\u0131 gerektirir.<\/p>\n
* Binary search, s\u0131ral\u0131 olmayan verilerde kullan\u0131labilir mi?<\/strong>  Hay\u0131r, verinin \u00f6nceden s\u0131ralanm\u0131\u015f olmas\u0131 gerekir.<\/p>\n
* Recursive binary search'\u00fcn iteratif binary search'e g\u00f6re avantajlar\u0131 nelerdir?<\/strong>  Daha okunakl\u0131 olabilir, ancak stack overflow riskine dikkat etmek gerekir.<\/p>\n
* Binary search'\u00fcn zaman karma\u015f\u0131kl\u0131\u011f\u0131 nas\u0131l hesaplan\u0131r?<\/strong>  Logaritmiktir (O(log n)), \u00e7\u00fcnk\u00fc her ad\u0131mda arama alan\u0131 yar\u0131ya indirilir.<\/p>\n
* Binary search'\u00fcn hangi veri yap\u0131lar\u0131nda kullan\u0131labilir?<\/strong> S\u0131ral\u0131 diziler, a\u011fa\u00e7lar ve di\u011fer s\u0131ral\u0131 veri yap\u0131lar\u0131nda kullan\u0131labilir.<\/p>\n
Yazar: Fatih Soysal<\/p>\n","protected":false},"excerpt":{"rendered":"Binary Search: Her \u015eey Dahil Kapsaml\u0131 Rehber Milyonlarca veri i\u00e7inde spesifik bir bilgiye saniyeler i\u00e7inde ula\u015fmak m\u00fcmk\u00fcn m\u00fc?…","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-29841","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-genel","7":"cs-entry","8":"cs-video-wrap"},"yoast_head":"\nBinary Search: Her \u015eey Dahil Kapsaml\u0131 Rehber<\/title>\n<meta name=\"description\" content=\"Milyonlarca veri i\u00e7inde spesifik bir bilgiye saniyeler i\u00e7inde ula\u015fmak m\u00fcmk\u00fcn m\u00fc? Cevap, verimli arama algoritmalar\u0131 sayesinde "evet". Bu makalede, en etkili arama algoritmalar\u0131ndan biri olan binary search'\u00fc (ikili arama) ba\u015ftan sona ele alaca\u011f\u0131z. S\u0131f\u0131rdan ba\u015flayarak, ileri d\u00fczey tekniklere kadar uzanan bir yolculu\u011fa \u00e7\u0131kaca\u011f\u0131z. Binary search'\u00fcn temellerini, uygulamalar\u0131n\u0131 ve performans\u0131n\u0131 detayl\u0131 bir \u015fekilde inceleyece\u011fiz. Veri yap\u0131lar\u0131 ve algoritmalarla ilgili bilginizi bir \u00fcst seviyeye ta\u015f\u0131maya haz\u0131r olun!\" \/>\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\/binary-search-her-sey-dahil-kapsamli-rehber\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Binary Search: Her \u015eey Dahil Kapsaml\u0131 Rehber\" \/>\n<meta property=\"og:description\" content=\"Milyonlarca veri i\u00e7inde spesifik bir bilgiye saniyeler i\u00e7inde ula\u015fmak m\u00fcmk\u00fcn m\u00fc? Cevap, verimli arama algoritmalar\u0131 sayesinde "evet". Bu makalede, en etkili arama algoritmalar\u0131ndan biri olan binary search'\u00fc (ikili arama) ba\u015ftan sona ele alaca\u011f\u0131z. S\u0131f\u0131rdan ba\u015flayarak, ileri d\u00fczey tekniklere kadar uzanan bir yolculu\u011fa \u00e7\u0131kaca\u011f\u0131z. Binary search'\u00fcn temellerini, uygulamalar\u0131n\u0131 ve performans\u0131n\u0131 detayl\u0131 bir \u015fekilde inceleyece\u011fiz. 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