

{"id":800000,"date":"2020-07-21T04:35:03","date_gmt":"2020-07-21T04:35:03","guid":{"rendered":"https:\/\/www.questionpro.com\/blog\/research-webinar-series-cross-tabulation\/"},"modified":"2020-07-21T04:35:03","modified_gmt":"2020-07-21T04:35:03","slug":"research-webinar-series-cross-tabulation","status":"publish","type":"post","link":"https:\/\/www.questionpro.com\/blog\/tr\/research-webinar-series-cross-tabulation\/","title":{"rendered":"Ara\u015ft\u0131rmada \u00e7apraz tablolama"},"content":{"rendered":"<p><span style=\"font-weight: 400;\">Hi\u00e7 anket verilerinizi al\u0131p hedef kitle gruplar\u0131n\u0131z aras\u0131ndaki kal\u0131plar\u0131 ve ili\u015fkileri ke\u015ffetmek istediniz, ancak bunlar\u0131n ka\u011f\u0131da en iyi \u015fekilde nas\u0131l yans\u0131t\u0131laca\u011f\u0131ndan emin olamad\u0131n\u0131z m\u0131? Ara\u015ft\u0131rmac\u0131lar ve i\u00e7g\u00f6r\u00fc y\u00f6neticileri, y\u00fcr\u00fct\u00fclen ara\u015ft\u0131rman\u0131n i\u015f d\u00fcnyas\u0131na uygulanabilir sonu\u00e7lar sa\u011flamada ba\u015far\u0131l\u0131 oldu\u011funu iddia etmeden \u00f6nce &#8220;say\u0131lar\u0131&#8221; veya verileri anlamal\u0131d\u0131r.  <\/span><\/p>\n<p><span style=\"font-weight: 400;\">Sorun \u015fu ki, ba\u015flang\u0131\u00e7ta elde etti\u011finiz ham veriler size bunu vermeyecektir ve hatta g\u00f6zden ge\u00e7irilmesi \u00fcrk\u00fct\u00fcc\u00fc ve yan\u0131lt\u0131c\u0131 olabilir.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Bir <a href=\"https:\/\/www.questionpro.com\/blog\/what-is-market-research\/\">pazar ara\u015ft\u0131rmas\u0131<\/a> \u00e7al\u0131\u015fmas\u0131na ba\u015flarken kendinize soraca\u011f\u0131n\u0131z ilk soru, &#8220;Hedef kitlem bu \u00fcr\u00fcn veya hizmeti sat\u0131n almak istiyor mu?&#8221; olmal\u0131d\u0131r. Ancak, hedef kitlenizi temsil eden t\u00fcm farkl\u0131 m\u00fc\u015fteri t\u00fcrlerini de g\u00f6z \u00f6n\u00fcnde bulundurman\u0131z gerekir. Markalar m\u00fc\u015fterileri aras\u0131nda <a href=\"https:\/\/www.questionpro.com\/blog\/psychographic-segmentation\/\">demografik<\/a> \u00f6zelliklere, <a href=\"https:\/\/www.questionpro.com\/blog\/psychographic-segmentation\/\">psikografik segmentasyonlara<\/a> ve \u00e7e\u015fitli sat\u0131n alma davran\u0131\u015flar\u0131 ve e\u011filimlerine g\u00f6re ayr\u0131m yapar.  <\/span><\/p>\n<p><span style=\"font-weight: 400;\">Birden fazla farkl\u0131 tema ve sonu\u00e7 olabilece\u011fini biliyorsunuz, ancak verilerinizi sonu\u00e7lara ve daha sonra teorilere nas\u0131l d\u00f6n\u00fc\u015ft\u00fcrebilirsiniz? Bu ili\u015fkileri nas\u0131l buluyorsunuz? Bir izleyici grubu bir \u00fcr\u00fcn veya hizmete kar\u015f\u0131 di\u011ferinden ne kadar farkl\u0131 hissedecektir? Bu farkl\u0131l\u0131klar \u00f6zellikle nelerdir?<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Bize kat\u0131l\u0131n <\/span><a href=\"https:\/\/info.questionpro.com\/crosstabulation-business-decisions\"><br \/>\n  <span style=\"font-weight: 400;\">eyleme ge\u00e7i\u0307lebi\u0307li\u0307r i\u0307\u015f kararlari i\u0307\u00e7i\u0307n \u00e7apraz tablolamanin nasil kullanilaca\u011fi hakkinda web semi\u0307neri\u0307<\/span><br \/>\n<\/a><span style=\"font-weight: 400;\"> ve anket verilerinizden en iyi \u015fekilde yararlan\u0131n. <\/span> <\/p>\n<h2>Anket ara\u015ft\u0131rmalar\u0131nda \u00e7apraz tablolama<\/h2>\n<p><span style=\"font-weight: 400;\">Bir <a href=\"https:\/\/www.questionpro.com\/survey-software\/sample-reports.html\">anket raporu<\/a> haz\u0131rlarken, ilk olarak temel frekans analizine ya da anketinizi tamamlayan kat\u0131l\u0131mc\u0131lar\u0131n &#8220;genel&#8221; g\u00f6r\u00fc\u015flerine sahip olursunuz; bu da size kitlenizin &#8220;genel olarak&#8221; ne d\u00fc\u015f\u00fcnd\u00fc\u011f\u00fc ve hissetti\u011fi hakk\u0131nda genel bir izlenim verir. \u00d6rne\u011fin, toplam kitlenizin y\u00fczde ka\u00e7\u0131n\u0131n bir soruya verilen her bir yan\u0131t\u0131 se\u00e7ti\u011fini g\u00f6receksiniz.  <\/span><\/p>\n<p><span style=\"font-weight: 400;\">Ve bu \u00e7al\u0131\u015fmaya kat\u0131lan toplam kitlenin demografik temsilini g\u00f6zden ge\u00e7irebileceksiniz. \u0130\u00e7g\u00f6r\u00fcl\u00fc olsa da, bu genellikle sizin, ara\u015ft\u0131rmac\u0131n\u0131n, bu \u00e7al\u0131\u015fma i\u00e7in ba\u015flang\u0131\u00e7ta arad\u0131\u011f\u0131 i\u00e7g\u00f6r\u00fcleri veya b\u00fcy\u00fck resim hedefini yerine getirmez; daha fazla veri madencili\u011fi ve <a href=\"https:\/\/www.questionpro.com\/blog\/in-depth-analysis\/\">derinlemesine analiz<\/a> yap\u0131lmas\u0131 gerekir.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Peki nedir <\/span><a href=\"https:\/\/www.questionpro.com\/cross-tabulation.html\"><br \/>\n  <span style=\"font-weight: 400;\">\u00e7apraz tablolama<\/span><br \/>\n<\/a><span style=\"font-weight: 400;\">?! Kapsaml\u0131 bir d\u00f6k\u00fcmd\u00fcr ve sat\u0131r ve s\u00fctunlardan olu\u015fan afi\u015fler veya pivot tablolar \u015feklinde g\u00f6r\u00fcnt\u00fclenen bir anabilgisayar istatistiksel modelidir. Bu tablolar\u0131n yapt\u0131\u011f\u0131 \u015fey, iki de\u011fi\u015fken aras\u0131ndaki etkile\u015fimi analiz etmenize ve \u00f6l\u00e7menize olanak tan\u0131makt\u0131r.  <\/span><\/p>\n<p><span style=\"font-weight: 400;\">Sat\u0131rlar (veya x ekseni) sorular\u0131 ve bunlar\u0131n farkl\u0131 anket yan\u0131tlar\u0131n\u0131 ortaya koymaktad\u0131r. Ayn\u0131 zamanda, s\u00fctunlar (veya y ekseni) \u00fczerinde kar\u015f\u0131la\u015ft\u0131rma yapmak istedi\u011finiz de\u011fi\u015fken(ler)i temsil eder (*bazen bu bir anket sorusuna da dayanabilir). Bu, \u00e7al\u0131\u015fman\u0131zdaki parametreler aras\u0131ndaki farkl\u0131 modellerin, e\u011filimlerin ve korelasyonlar\u0131n belirlenmesini kolayla\u015ft\u0131r\u0131r &#8211; bunlar\u0131n birbirini d\u0131\u015flay\u0131p d\u0131\u015flamad\u0131\u011f\u0131na bak\u0131lmaks\u0131z\u0131n.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u00c7apraz tablolama ham verilerin \u00f6tesine ge\u00e7menizi sa\u011flar ve bir veya daha fazla sorunun (veya de\u011fi\u015fkenin) birbiriyle nas\u0131l ili\u015fkili oldu\u011funu g\u00f6rmenizi sa\u011flar. \u00c7apraz tablolama ayn\u0131 zamanda bir\u00e7ok olas\u0131 sonuca sahip gibi g\u00f6r\u00fcnen verileri al\u0131r ve \u00e7al\u0131\u015fman\u0131zdaki farkl\u0131 fakt\u00f6rler aras\u0131nda bu e\u011filimleri, bu kar\u015f\u0131la\u015ft\u0131rmalar\u0131 ve bu korelasyonlar\u0131 \u00e7izerek tek bir teori \u00fczerinde &#8216;s\u0131f\u0131rlanman\u0131za&#8217; yard\u0131mc\u0131 olur.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Ara\u015ft\u0131rma \u00e7al\u0131\u015fmalar\u0131n\u0131zda \u00e7apraz tablolamay\u0131 etkili bir \u015fekilde kullanma hakk\u0131nda daha fazla bilgi edinmek i\u00e7in, <\/span><a href=\"https:\/\/info.questionpro.com\/crosstabulation-business-decisions\"><br \/>\n  <span style=\"font-weight: 400;\">webinar\u0131m\u0131za kat\u0131l\u0131n<\/span><br \/>\n<\/a><span style=\"font-weight: 400;\">. <\/span> <\/p>\n<h3>\u00c7apraz tablolama anketlerde ne zaman ve nas\u0131l kullan\u0131l\u0131r?<\/h3>\n<p><span style=\"font-weight: 400;\">\u00c7apraz tablolar\u0131 \u00e7al\u0131\u015ft\u0131r\u0131rken, a\u015fa\u011f\u0131daki gruplama t\u00fcrlerini de\u011fi\u015fken olarak uygulayabilirsiniz:<\/span><\/p>\n<ul>\n<li>Demografi &#8211;<b> <span style=\"font-weight: 400;\">Hedef kitlenizi ya\u015f, cinsiyet, hane geliri aral\u0131\u011f\u0131, etnik k\u00f6ken veya ge\u00e7mi\u015f ve konum (\u00fclke, b\u00f6lge, eyalet\/il, kamp\u00fcs vb.) a\u00e7\u0131s\u0131ndan ay\u0131rarak anket sonu\u00e7lar\u0131n\u0131z\u0131 kar\u015f\u0131la\u015ft\u0131r\u0131n<\/span><\/b><\/li>\n<\/ul>\n<ul>\n<li>Psikografi &#8211;  <span style=\"font-weight: 400;\">Hedef kitlenizi bir varl\u0131\u011fa y\u00f6nelik bireysel tutumlara g\u00f6re b\u00f6l\u00fcmlere ay\u0131rabiliyor musunuz? Neye de\u011fer veriyorlar ya da onlar\u0131 ki\u015fisel olarak ne memnun ediyor? De\u011ferlerini veya tutumlar\u0131n\u0131 ortaya koymak i\u00e7in hangi eylemleri ger\u00e7ekle\u015ftiriyorlar?<\/span><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/www.questionpro.com\/blog\/consumer-behavior-definition\/\">T\u00fcketici davran\u0131\u015flar\u0131<\/a> &#8211;  <span style=\"font-weight: 400;\">hedef ki\u0307tleni\u0307z \u00fcr\u00fcn veya hi\u0307zmeti\u0307ni\u0307zi\u0307 i\u0307nternet \u00fczeri\u0307nden satin almayi terci\u0307h edi\u0307yor mu? Ma\u011fazada m\u0131? \u0130kisinin bir kombinasyonu mu? Hedef kitleniz aras\u0131nda kimler marka sadakatine sahip ve bir \u00fcr\u00fcn veya hizmeti birden fazla markadan sat\u0131n almaya istekli?<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">Ayr\u0131ca, \u00e7apraz tablolar t\u00fcm bu farkl\u0131 <a href=\"https:\/\/www.questionpro.com\/article\/types-of-questions-question-types.html\">soru t\u00fcrleriyle<\/a> uyumludur:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\"><a href=\"https:\/\/www.questionpro.com\/article\/multiple-choice-questions.html\">\u00c7oktan se\u00e7meli<\/a> (hem tekli hem de \u00e7oklu se\u00e7im)<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">A\u00e7\u0131l\u0131r men\u00fc<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Matris sorular\u0131<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Derecelendirme veya <\/span><a href=\"https:\/\/www.questionpro.com\/article\/likert-scale-survey-questions.html\"><br \/>\n  <span style=\"font-weight: 400;\">Likert \u00f6l\u00e7ekli sorular<\/span><br \/>\n<\/a><\/li>\n<li style=\"font-weight: 400;\"><a href=\"https:\/\/www.questionpro.com\/features\/net-promoter-score.html\"><span style=\"font-weight: 400;\">Net Tavsiye Skoru (NPS)<\/span><\/a><\/li>\n<li style=\"font-weight: 400;\"><a href=\"https:\/\/www.questionpro.com\/blog\/what-is-conjoint-analysis\/\"><span style=\"font-weight: 400;\">Konjoint analizi<\/span><\/a><\/li>\n<li style=\"font-weight: 400;\"><a href=\"https:\/\/www.questionpro.com\/max-diff\/\"><span style=\"font-weight: 400;\">MaxDiff analizi<\/span><\/a><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">Ayr\u0131ca, en yayg\u0131n olarak a\u015fa\u011f\u0131dakiler olmak \u00fczere, farkl\u0131 sekt\u00f6rlerdeki bir dizi profesyonel taraf\u0131ndan da kullan\u0131l\u0131rlar:<\/span><\/p>\n<ul>\n<li>Pazar ara\u015ft\u0131rmac\u0131lar\u0131 \/ \u00fcr\u00fcn ara\u015ft\u0131rmac\u0131lar\u0131 \/ m\u00fc\u015fteri memnuniyeti y\u00f6neticileri &#8211;<b> <span style=\"font-weight: 400;\">Geri bildirim ve \u00fcr\u00fcn\/hizmet memnuniyeti anketleri, meta veri ve demografi kullan\u0131m\u0131, \u00fcr\u00fcnleri iyile\u015ftirmek ve pazarlama kampanyalar\u0131n\u0131n oda\u011f\u0131n\u0131 y\u00f6nlendirmek i\u00e7in eyleme ge\u00e7irilebilir sonu\u00e7lar sa\u011flar. <a href=\"https:\/\/www.questionpro.com\/survey-templates\/customer-satisfaction-surveys\/\">M\u00fc\u015fteri memnuniyeti anketleri<\/a>, y\u00f6neticilerin ve ara\u015ft\u0131rmac\u0131lar\u0131n i\u015fletmenizdeki bir departman veya b\u00f6lge i\u00e7indeki iyile\u015ftirme alanlar\u0131n\u0131 belirlemelerine yard\u0131mc\u0131 olur.<\/span><\/b><\/li>\n<\/ul>\n<ul>\n<li>Okul y\u00f6neticileri <span style=\"font-weight: 400;\">&#8211; e\u011fitim sekt\u00f6r\u00fcndeki \u00fcyeler, \u00f6\u011frencilere ders veya e\u011fitmen de\u011ferlendirme anketleri g\u00f6nderebilir, konular, ders saati gibi de\u011fi\u015fkenleri kullanarak \u00f6\u011frencilerin e\u011fitim deneyimini iyile\u015ftirmek i\u00e7in herhangi bir zay\u0131fl\u0131\u011f\u0131 veya aksakl\u0131klar\u0131 ortaya \u00e7\u0131karabilir<\/span>.<\/li>\n<\/ul>\n<ul>\n<li>\u0130nsan kaynaklar\u0131 &#8211; <span style=\"font-weight: 400;\">okul y\u00f6netimine benzer \u015fekilde, \u0130K direkt\u00f6rleri ve y\u00f6neticileri, belirli ofis konumlar\u0131nda, departmanlarda ve i\u015f rollerinde \u00e7at\u0131\u015fma alanlar\u0131n\u0131 veya iyile\u015ftirme ihtiya\u00e7lar\u0131n\u0131 belirlemek i\u00e7in \u00e7al\u0131\u015fan kat\u0131l\u0131m\u0131, memnuniyet anketleri ve hatta <a href=\"https:\/\/www.questionpro.com\/blog\/conduct-exit-interview-questions\/\">\u00e7\u0131k\u0131\u015f g\u00f6r\u00fc\u015fmesi anketlerini<\/a> kullanabilir<\/span>.<\/li>\n<\/ul>\n<h3>\u00c7apraz tablolaman\u0131n avantajlar\u0131 ve faydalar\u0131 nelerdir?<\/h3>\n<p>\u00c7apraz tablolama, \u00f6z\u00fcnde de\u011fi\u015fkenler aras\u0131ndaki korelasyonlar\u0131 belirlemenize olanak tan\u0131r. \u00d6rne\u011fin, y\u00fczdelere bakarak &#8216;bu gen\u00e7 kitlenin yeni bir \u00fcr\u00fcnle ya\u015fl\u0131 kitleye k\u0131yasla daha fazla ilgilendi\u011fini&#8217; belirleyebilirsiniz. Size bu korelasyonlar\u0131 bulabilmesinin yan\u0131 s\u0131ra, herhangi bir ileri istatistik derecesi olmadan verileri yorumlamak basit ve kolayd\u0131r.<\/p>\n<p>\u00c7apraz tablolar, \u00f6zellikle ham veriler (d\u00fczenli bir \u015fekilde d\u00fczenlenmemi\u015f) tam olarak anla\u015f\u0131lamayaca\u011f\u0131ndan, ham verileri incelerken ya\u015fayabilece\u011finiz herhangi bir kar\u0131\u015f\u0131kl\u0131\u011f\u0131 \u00f6nlemenize yard\u0131mc\u0131 olacakt\u0131r. Ham verileri inceleseniz bile, yaln\u0131zca inceledi\u011finiz verileri g\u00f6zlemleyebilir veya bunlardan \u00e7\u0131kar\u0131m yapabilirsiniz.<\/p>\n<p>Yeni bir \u00fcr\u00fcn veya hizmetle 35 ya\u015f\u0131ndaki bir\u00e7ok m\u00fc\u015fterinin ilgilendi\u011fini fark edebilirsiniz. Ancak \u00e7apraz tablolarda, &#8220;35 ya\u015f ve alt\u0131ndaki m\u00fc\u015fterilerin %75&#8217;i yeni bir \u00fcr\u00fcn veya hizmetle ilgileniyor&#8221; \u015feklinde kesin bilgileriniz var. Yani veriler sadece \u00f6l\u00e7\u00fclebilir de\u011fil, ayn\u0131 zamanda g\u00f6receli veya kar\u015f\u0131la\u015ft\u0131r\u0131labilirdir.<\/p>\n<p>Son olarak, kurulu\u015funuz genelinde kararlar\u0131 iyile\u015ftirmek i\u00e7in kullan\u0131labilecek temiz veriler sunmaya yard\u0131mc\u0131 olurlar. \u00d6l\u00e7\u00fclebilir ve kar\u015f\u0131la\u015ft\u0131r\u0131labilir verilerin elinizin alt\u0131nda olmas\u0131, do\u011fru <a href=\"https:\/\/www.questionpro.com\/blog\/follow-up-questions\/\">takip sorular\u0131n\u0131<\/a> sorman\u0131z\u0131 sa\u011flayacakt\u0131r. Sonu\u00e7 olarak, verileri daha fazla inceleyebilir ve ister kitle filtreleri arac\u0131l\u0131\u011f\u0131yla ister \u00f6zel de\u011fi\u015fkenler arac\u0131l\u0131\u011f\u0131yla &#8211; di\u011fer anket yan\u0131tlar\u0131na veya platformda saklad\u0131\u011f\u0131n\u0131z di\u011fer profil verilerine dayal\u0131 olarak &#8211; daha ilgin\u00e7 anormallikler ve i\u00e7g\u00f6r\u00fcler bulabilirsiniz.<\/p>\n<h4>Sonu\u00e7<\/h4>\n<p><span style=\"font-weight: 400;\">\u00c7apraz tablolar, verilerinizin sonu\u00e7lara ve sonu\u00e7lar\u0131n da teorilere d\u00f6n\u00fc\u015ft\u00fcr\u00fclmesine yard\u0131mc\u0131 olur. \u00c7apraz tablolama yaln\u0131zca elinizdeki verileri ve bulgular\u0131 geli\u015ftirmekle kalmaz, ayn\u0131 zamanda ara\u015ft\u0131rmac\u0131 olarak sizin de hangi ek ara\u015ft\u0131rma verilerini araman\u0131z ve belirlemeniz gerekti\u011fini daha iyi anlaman\u0131z\u0131 sa\u011flar. Ko\u015fmaya ne kadar a\u015fina olursan\u0131z  <\/span><span style=\"font-weight: 400;\">Ara\u015ft\u0131rman\u0131zda \u00e7apraz tablolar<\/span><span style=\"font-weight: 400;\"><a href=\"https:\/\/www.questionpro.com\/blog\/analytical-research\/\">Analitik ara\u015ft\u0131rma<\/a> s\u00fcre\u00e7lerine ne kadar a\u015fina olursan\u0131z. Hangi verileri araman\u0131z gerekti\u011fini ne kadar iyi anlarsan\u0131z, i\u015fletmenizi ilgili sonu\u00e7lara y\u00f6nlendirmenize ve \u015firketinizin k\u00e2r\u0131n\u0131 en \u00fcst d\u00fczeye \u00e7\u0131karman\u0131za yard\u0131mc\u0131 olur.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Hi\u00e7 anket verilerinizi al\u0131p hedef kitle gruplar\u0131n\u0131z aras\u0131ndaki kal\u0131plar\u0131 ve ili\u015fkileri ke\u015ffetmek istediniz, ancak bunlar\u0131n ka\u011f\u0131da en iyi \u015fekilde nas\u0131l [&hellip;]<\/p>\n","protected":false},"author":98,"featured_media":680997,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"eyleme d\u00f6n\u00fc\u015ft\u00fcr\u00fclebilir i\u015f i\u00e7g\u00f6r\u00fcleri i\u00e7in \u00e7apraz tablolama","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"\u00c7apraz tablolama, anket verileriniz aras\u0131ndaki korelasyonlar\u0131 bulman\u0131za ve eyleme ge\u00e7irilebilir i\u015f i\u00e7g\u00f6r\u00fcleri \u00e7\u0131karman\u0131za olanak tan\u0131r. Daha fazlas\u0131n\u0131 \u00f6\u011frenmek i\u00e7in web seminerimize kat\u0131l\u0131n.","_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[1114],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.4 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Ara\u015ft\u0131rmada \u00e7apraz tablolama | QuestionPro<\/title>\n<meta name=\"description\" content=\"\u00c7apraz tablolama, anket verileriniz aras\u0131ndaki korelasyonlar\u0131 bulman\u0131za ve eyleme ge\u00e7irilebilir i\u015f i\u00e7g\u00f6r\u00fcleri \u00e7\u0131karman\u0131za olanak tan\u0131r. 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