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Kendilerinin daha iyi yaşadıklarını, mahalleden kalitesini taşıdıklarını ve hiçbirinin kendilerini sindiremediğini vurgulamaktadır. Monolog, tekrarlanan cümlelerle ve mahalle sakinlerinin neden bu kadar meraklı olduklarını sorgulayarak ilerlemektedir."]},"endTime":169,"title":"Mahallede Yaşayan Birinin Monologu","beginTime":0}],"fullResult":[{"index":0,"title":"Mahalle Sakinleri ve Kişisel Tavr","list":{"type":"unordered","items":["Konuşmacı, mahalle sakinlerinin kendisini hala çekemediğini ve fesat olduklarını belirtiyor.","Yaşamına dikkat etmelerine gerek olmadığını, herkesin arkasından konuşmasına rağmen onların aklında olduğunu söylüyor.","Hiç kimse kendisini sindiremediğini ve her şeyin farkındayken akrabaların da kendilerini gözlemlediğini ifade ediyor."]},"beginTime":0,"endTime":44,"href":"/video/preview/518526309494875866?parent-reqid=1765300689427999-15938977280956349545-balancer-l7leveler-kubr-yp-vla-189-BAL&text=Abi-%C5%9Fenol&t=0&ask_summarization=1"},{"index":1,"title":"Mahalledeki Durum ve Karşılaştırma","list":{"type":"unordered","items":["Konuşmacı, akrabalarından daha iyi yaşadıklarını ve 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İlk bölümde kuvvetler konusu üzerinden tahmin soruları çözülmekte, ikinci bölümde kökler ve kümeler konuları işlenmekte, son bölümde ise mutlak değerli ifadeler ve iki kare farkı formülü anlatılmaktadır.","Öğretmen, virgül kaydırma, kuvvetlerin çarpımı, bölünmesi, denklem çözme, mutlak değerli ifadelerin çözümü için \"sandviç hamburger yöntemi\" ve iki kare farkı formülü gibi konuları örneklerle açıklamaktadır. Video, öğrencilere yazılı sınavlarına hazırlık için faydalı olabilecek bir içerik sunmaktadır."]},"endTime":1519,"title":"Matematik Dersi: Kuvvetler, Kökler, Kümeler ve Eşitsizlikler","beginTime":0}],"fullResult":[{"index":0,"title":"Yazılı Soruları Tanıtımı","list":{"type":"unordered","items":["Eğitmen, öğrencilerle birlikte on tane yazılı sorusu çözeceklerini belirtiyor.","Her soruda on puan olacak ve öğrencilerden önce veya sonra soruları çözmeleri isteniyor.","Sorular tahmin soruları olacak ancak konuyu özetlemek için kullanılacak ve benzer soruları kolayca çözebilecekler."]},"beginTime":0,"endTime":31,"href":"/video/preview/5322910255508053414?parent-reqid=1765300689427999-15938977280956349545-balancer-l7leveler-kubr-yp-vla-189-BAL&text=Abi-%C5%9Fenol&t=0&ask_summarization=1"},{"index":1,"title":"Üslü İfadelerle İşlemler","list":{"type":"unordered","items":["Üslü ifadelerde virgülün konumunu değiştirmek için, bir tarafı çarparken diğer tarafı bölmek gerekiyor.","Üslü ifadelerde çarpma işlemi yapılırken üstler toplanır, bölme işlemi yapılırken üstler çıkarılır.","Üslü ifadelerde ortak terimler parantezine alınarak sadeleştirme yapılabilir."]},"beginTime":31,"endTime":325,"href":"/video/preview/5322910255508053414?parent-reqid=1765300689427999-15938977280956349545-balancer-l7leveler-kubr-yp-vla-189-BAL&text=Abi-%C5%9Fenol&t=31&ask_summarization=1"},{"index":2,"title":"Kare Şeklindeki Kağıt Problemi","list":{"type":"unordered","items":["Bir kenarı 3 üzeri x eksi bir santim olan kare biçimindeki kağıt üç eş parçaya ayrılıyor.","Parçaların uzunlukları 3 üzeri x eksi bir, 3 üzeri x eksi bir ve 3 üzeri x eksi iki olarak hesaplanıyor.","Parçaların toplam uzunluğu 63 olduğuna göre, denklem kurularak x değeri 4 olarak bulunuyor."]},"beginTime":325,"endTime":544,"href":"/video/preview/5322910255508053414?parent-reqid=1765300689427999-15938977280956349545-balancer-l7leveler-kubr-yp-vla-189-BAL&text=Abi-%C5%9Fenol&t=325&ask_summarization=1"},{"index":3,"title":"Köklü İfadelerle İşlemler","list":{"type":"unordered","items":["Kök 27 ifadesi 3 kök 3 olarak hesaplanır ve 1/kök 3 ile 1/12 ifadeleri sadeleştirilir.","Köklü ifadelerle işlem yaparken, paydaları eşitlemek için genişletme işlemi yapılır.","Kesirlerde bölme işlemi yaparken, birinci kesir aynen alınır, ikinci kesir ters çevrilip çarpılır."]},"beginTime":558,"endTime":701,"href":"/video/preview/5322910255508053414?parent-reqid=1765300689427999-15938977280956349545-balancer-l7leveler-kubr-yp-vla-189-BAL&text=Abi-%C5%9Fenol&t=558&ask_summarization=1"},{"index":4,"title":"Köklü İfadelerin Özellikleri","list":{"type":"unordered","items":["Köklü ifadelerde, kökün derecesi ve içindeki sayı arasındaki ilişki önemlidir.","Kökün derecesiyle sayının üstü sadeleştirilebilir, örneğin 4√2 ifadesi 2√2 olarak yazılabilir.","Köklü ifadelerde çarpma işlemi yapılırken, kök içindeki sayılar çarpılır ve kök derecesi korunur."]},"beginTime":701,"endTime":812,"href":"/video/preview/5322910255508053414?parent-reqid=1765300689427999-15938977280956349545-balancer-l7leveler-kubr-yp-vla-189-BAL&text=Abi-%C5%9Fenol&t=701&ask_summarization=1"},{"index":5,"title":"İki Kare Farkı","list":{"type":"unordered","items":["İki kare farkı formülü, (a+b)(a-b) = a² - b² şeklinde ifade edilir.","Köklü ifadelerde iki kare farkı formülü kullanılarak sadeleştirme yapılabilir.","Köklü ifadelerde toplama ve çıkarma işlemleri yapılırken, kök içindeki sayılar karşılaştırılır."]},"beginTime":812,"endTime":905,"href":"/video/preview/5322910255508053414?parent-reqid=1765300689427999-15938977280956349545-balancer-l7leveler-kubr-yp-vla-189-BAL&text=Abi-%C5%9Fenol&t=812&ask_summarization=1"},{"index":6,"title":"Kümeler ve Eleman Sayısı","list":{"type":"unordered","items":["A kümesi, x değeri 2 ile 20 arasında olan tam sayılardan oluşur.","B kümesi, x değeri -4 ile 15 arasında olan çift tam sayılardan oluşur.","A kümesinden B kümesi çıkarıldığında, kalan eleman sayısı 9'dur."]},"beginTime":905,"endTime":1091,"href":"/video/preview/5322910255508053414?parent-reqid=1765300689427999-15938977280956349545-balancer-l7leveler-kubr-yp-vla-189-BAL&text=Abi-%C5%9Fenol&t=905&ask_summarization=1"},{"index":7,"title":"Mutlak Değerli İfadelerde Sandviç Yöntemi","list":{"type":"unordered","items":["Mutlak değerli ifadelerde sandviç (hamburger) yöntemi kullanılır: altta alt taban, üstte üst taban, ortada ana malzemeler yer alır.","Eğer mutlak değerli ifade bir sayıdan küçükse (üst sınır verilmişse), üst sınırın zıt işaretlisi alt sınır olarak yazılır ve mutlak değer kalkar.","Sandviç yöntemiyle mutlak değerli ifadeler çözülebilir, üst ve alt sınırlar belirlenerek çözüm kümesi bulunabilir."]},"beginTime":1094,"endTime":1217,"href":"/video/preview/5322910255508053414?parent-reqid=1765300689427999-15938977280956349545-balancer-l7leveler-kubr-yp-vla-189-BAL&text=Abi-%C5%9Fenol&t=1094&ask_summarization=1"},{"index":8,"title":"İki Kare Farkı","list":{"type":"unordered","items":["İki kare farkı formülü: a² - b² = (a - b)(a + b) şeklindedir.","İki kare farkı formülü, bir sayının karesi alınmış ve çıkarma işlemi yapılmış halinin çarpılması anlamına gelir.","İki kare farkı formülü kullanılarak karmaşık ifadeler sadeleştirilebilir."]},"beginTime":1217,"endTime":1475,"href":"/video/preview/5322910255508053414?parent-reqid=1765300689427999-15938977280956349545-balancer-l7leveler-kubr-yp-vla-189-BAL&text=Abi-%C5%9Fenol&t=1217&ask_summarization=1"},{"index":9,"title":"Matematik Öğrenme Motivasyonu","list":{"type":"unordered","items":["Matematik konularını kolayca öğrenmek için \"Shark böl topla kolayca sayıları hükmediyor\" şarkısı önerilmektedir.","Şenol Hoca, trigonometri, polinomlar, mantık gibi matematik konularını anlatmaktadır.","Matematik öğrenmek için sıkı çalışmak ve yorulduğunda dinlenmek önemlidir."]},"beginTime":1475,"endTime":1513,"href":"/video/preview/5322910255508053414?parent-reqid=1765300689427999-15938977280956349545-balancer-l7leveler-kubr-yp-vla-189-BAL&text=Abi-%C5%9Fenol&t=1475&ask_summarization=1"}],"linkTemplate":"/video/preview/5322910255508053414?parent-reqid=1765300689427999-15938977280956349545-balancer-l7leveler-kubr-yp-vla-189-BAL&text=Abi-%C5%9Fenol&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"9. sınıf matematik 1.dönem 1.yazılı çalışması - 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İlk bölümde bir evlilik programında Esra Hanım, Emine Hanım, Şenol ve Hülya adlı kişilerin yer aldığı bir görüşme sahnesi gösterilmektedir. İkinci bölümde ise Deniz Hanım, Emine ve diğer kişilerin yer aldığı bir sohbet ve \"Şıkıdım\" adlı şarkının performansı yer almaktadır.","Video, Şenol'un Emine Hanım ile tanışma isteği ve Hülya'nın bu konudaki tutumuyla başlayıp, Emine Hanım'ın Şenol'a \"keçi gibi inatçı\" dediğini söylemesiyle devam etmektedir. Program sonunda Emine Hanım'a Şenol'a bir şans vermesi için pazartesi gününe kadar süre verilmesi kararlaştırılır. 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dizi ve çok daha fazlası puhutv'de → https://puhutv.com/cukur-detay?utm_me...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4032051/57a1e69a06741c780c4674c278094be4/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/WroYNQIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"17","reqid":"1765300689427999-15938977280956349545-balancer-l7leveler-kubr-yp-vla-189-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1765300689427999-15938977280956349545-balancer-l7leveler-kubr-yp-vla-189-BAL&text=videoid:7012580094562737334","teaser":[{"list":{"type":"unordered","items":["Bu video, bir dizi veya film sahnesini göstermektedir. Karakterler arasında Yamaç Koçovalı, kardeşi Cumali, İsmet Hanım ve Şenol (silahçı) bulunmaktadır. Yamaç ve Cumali, İdris Koçovalı'nın oğulları olarak tanıtılmaktadır.","Videoda, Yamaç ve Cumali'nin silah ve kauçuk almak için İsmet Hanım'a başvurdukları bir diyalog yer almaktadır. İlk olarak Yamaç, İsmet Hanım'a kauçuk almak için para teklif eder, ancak İsmet Hanım bunu kabul etmez. Daha sonra Yamaç, Şenol'u arar ve silah almak için yardım ister. Şenol, kardeşinin uğruna canını verdiği adamdan para almak istemediğini belirtir. Video, Yamaç'ın kız kardeşinin başına oynamasın diye bir şey söylemesiyle sona erer."]},"endTime":304,"title":"Silah ve Kauçuk Alışverişi","beginTime":0}],"fullResult":[{"index":0,"title":"Yamaç Koçovalı'nın Ziyareti","list":{"type":"unordered","items":["İsmet Hanım, Tahir Bey'in gönderdiği Yamaç Koçovalı'nın yardımcı olup olmayacağı konusunda sorguluyor.","Yamaç Koçovalı, İdris Koçovalı'nın oğulları olduğunu belirtiyor ve İsmet Hanım'ın abisinin onu çok sevdiğini söylüyor.","İsmet Hanım, Yamaç'ın buralara ne kadar iyi bildiğini sorguluyor ve Yamaç, bu sefer aküyle uğraştırmamasını istiyor."]},"beginTime":11,"endTime":104,"href":"/video/preview/7012580094562737334?parent-reqid=1765300689427999-15938977280956349545-balancer-l7leveler-kubr-yp-vla-189-BAL&text=Abi-%C5%9Fenol&t=11&ask_summarization=1"},{"index":1,"title":"Para ve Malzeme İsteği","list":{"type":"unordered","items":["Yamaç, İsmet Hanım'dan para istiyor ve yalıtkan kauçuk almak istediğini belirtiyor.","İsmet Hanım, para vermek yerine malı çarşamba günü vereceğini söylüyor.","Yamaç, uçağa konuşacağını ve sıkıntı çıkmazsa gece çıkacaklarını belirtiyor."]},"beginTime":104,"endTime":155,"href":"/video/preview/7012580094562737334?parent-reqid=1765300689427999-15938977280956349545-balancer-l7leveler-kubr-yp-vla-189-BAL&text=Abi-%C5%9Fenol&t=104&ask_summarization=1"},{"index":2,"title":"Şenol Hakkında Bilgiler","list":{"type":"unordered","items":["Yamaç, Şenol'un kim olduğunu sorguluyor ve İsmet Hanım, Şenol'un silahçı olduğunu ve Hak Karadeniz'den olduğunu belirtiyor.","İsmet Hanım, Şenol'un babaannesi olduğunu ve üç sene evvel vefat ettiğini, ancak her ay halini hatırını sorduklarını anlatıyor.","Yamaç, abisinin öldükten sonra babaannesini de kaybedince döndüğünü ve üç senedir orada olduğunu 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Öğretmen, tahtada notlar alarak ve günlük hayattan örneklerle konuyu açıklamaktadır.","Video, işaretli sayılarla ilgili toplama, çıkarma ve çarpma işlemlerini kapsamlı şekilde ele almaktadır. Öncelikle pozitif ve negatif tam sayıların toplama kuralları anlatılmakta, ardından aynı işaretli ve zıt işaretli sayıların toplanması, çıkarılması ve çarpılması konuları örneklerle açıklanmaktadır. Son olarak üçlü işlemler, parantez işlemleri ve işaret kuralları detaylı olarak işlenmektedir.","Öğretmen, konuyu \"artı\" ve \"eksi\" işaretlerini erkek ve kız olarak cinsiyetlendirerek basitleştirerek açıklamakta, sayı doğrusu kullanarak büyük-küçük karşılaştırmaları göstermekte ve günlük hayattan örneklerle konuyu somutlaştırmaktadır. Video sonunda, anlamayanlar dersi tekrar izlemeleri ve anlayanların alıştırmalarla ödevlerini yapmaları tavsiye edilmektedir."]},"endTime":1886,"title":"Matematik Dersi: İşaretli Sayılar ve İşlemler","beginTime":0}],"fullResult":[{"index":0,"title":"Matematik Kitabı ve İçeriği","list":{"type":"unordered","items":["Alıştırmalarla Matematik kitabının konu anlatım videolarına hoş geldiniz mesajı veriliyor.","Kitapta toplama çıkarma, çarpma bölme gibi yirmi temel konu anlatımı bulunmaktadır.","Her konu anlatımı sonrası alıştırmalar ve test sayfaları bulunmaktadır."]},"beginTime":0,"endTime":37,"href":"/video/preview/402504832049595565?parent-reqid=1765300689427999-15938977280956349545-balancer-l7leveler-kubr-yp-vla-189-BAL&text=Abi-%C5%9Fenol&t=0&ask_summarization=1"},{"index":1,"title":"Pozitif Tam Sayıların Toplanması","list":{"type":"unordered","items":["Pozitif iki tam sayının toplamında sonuç pozitif tam sayıdır.","Artı işaretli sayılar erkek, eksi işaretli sayılar kız olarak 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önemlidir.","Soru çözerek bilgi pekiştirilir çünkü bilgiyi kullanmak onu kalıcı hale getirir.","Bilgiyi kim kullanırsa onundur."]},"beginTime":771,"endTime":854,"href":"/video/preview/402504832049595565?parent-reqid=1765300689427999-15938977280956349545-balancer-l7leveler-kubr-yp-vla-189-BAL&text=Abi-%C5%9Fenol&t=771&ask_summarization=1"},{"index":10,"title":"İşaretli Sayılarla Toplama ve Çıkarma","list":{"type":"unordered","items":["İşaretli sayılarla toplama ve çıkarma işlemleri yapılırken, çarpma ve bölme işlemi yoktur, sadece toplama ve çıkarma işlemleri bulunmaktadır.","İşaretli sayılarla çıkarma işlemi, aslında büyük sayıdan küçük sayı çıkarılarak yapılır ve büyük sayının işareti sonucun işareti olarak yazılır.","İşaretli sayılarla toplama işlemi yapılırken, aynı işaretli sayılar toplanır ve işaretleri korunur, zıt işaretli sayılar ise büyük sayıdan küçük sayı çıkarılarak sonuç 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Sınıf Matematik Kartezyen Çarpım ! Hep birlikte 9. sınıf konularını en iyi şekilde öğrenip liseye bomba gibi giriş yapacağız!","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2795760/c5fcc6f2e9802b15a4496d24a5435a81/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/Pc2p2QEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"19","reqid":"1765300689427999-15938977280956349545-balancer-l7leveler-kubr-yp-vla-189-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1765300689427999-15938977280956349545-balancer-l7leveler-kubr-yp-vla-189-BAL&text=videoid:17130117226698324207","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik öğretmeninin 9. sınıf öğrencilerine yönelik hazırladığı eğitim içeriğidir. Öğretmen, tahtada notlar alarak ve öğrencilere sorular sorarak konuyu açıklamaktadır.","Video, kartezyen çarpım konusunu kapsamlı şekilde ele almaktadır. İlk olarak sıralı ikililerin tanımı ve özellikleri anlatılmakta, ardından kartezyen çarpımın ne olduğu, eleman sayısının nasıl hesaplanacağı ve analitik düzlemde nasıl gösterileceği örneklerle açıklanmaktadır. Ayrıca kümelerin birleşim, kesişim ve kartezyen çarpım işlemlerinin özellikleri de ele alınmaktadır.","Videoda A×B ve B×A kartezyen çarpımlarının farklı sonuçlar verebileceği, kümelerin aynı olması durumunda kartezyen çarpımın eşit olacağı gibi önemli noktalar vurgulanmaktadır. Öğretmen, konuyu pekiştirmek için örnek sorular çözerek ve görsel gösterimler kullanarak, öğrencilerin not alıp yazarak soru çözerek konuyu daha iyi anlamalarını sağlamaktadır."]},"endTime":1873,"title":"9. 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problemlerde, ikinci bilgiyi kullanarak ilk bilgiyi çözebiliriz."]},"beginTime":51,"endTime":205,"href":"/video/preview/17130117226698324207?parent-reqid=1765300689427999-15938977280956349545-balancer-l7leveler-kubr-yp-vla-189-BAL&text=Abi-%C5%9Fenol&t=51&ask_summarization=1"},{"index":2,"title":"Kartezyen Çarpım Kavramı","list":{"type":"unordered","items":["Kartezyen çarpım, bir kümenin her elemanının diğer kümenin tüm elemanlarıyla eşleştirilerek sıralı ikililer oluşturulmasıdır.","A×B kartezyen çarpımı, A kümesinden alınan ilk elemanlarla B kümesinden alınan ikinci elemanların oluşturduğu sıralı ikililerden oluşur.","A×B ve B×A kartezyen çarpımları birbirinden farklıdır çünkü sıralı ikililerde sıra çok önemlidir."]},"beginTime":205,"endTime":235,"href":"/video/preview/17130117226698324207?parent-reqid=1765300689427999-15938977280956349545-balancer-l7leveler-kubr-yp-vla-189-BAL&text=Abi-%C5%9Fenol&t=205&ask_summarization=1"},{"index":3,"title":"Kartezyen Çarpım Örnekleri","list":{"type":"unordered","items":["A={1,2} ve B={a,b,c} kümeleri için A×B kartezyen çarpımı {(1,a), (1,b), (1,c), (2,a), (2,b), (2,c)} şeklinde olur.","A×A kartezyen çarpımı, A kümesinin kendisiyle çarpımıdır ve {(1,1), (1,2), (2,1), (2,2)} şeklinde olur.","A kümesi B kümesine eşit değilse, A×B kartezyen çarpımı A×A kartezyen çarpımına eşit değildir."]},"beginTime":235,"endTime":420,"href":"/video/preview/17130117226698324207?parent-reqid=1765300689427999-15938977280956349545-balancer-l7leveler-kubr-yp-vla-189-BAL&text=Abi-%C5%9Fenol&t=235&ask_summarization=1"},{"index":4,"title":"Kartezyen Çarpım Problemleri","list":{"type":"unordered","items":["Kartezyen çarpım problemlerinde, ilk elemanlar birinci kümeden, ikinci elemanlar ikinci kümeden alınır.","Bir kümenin içinde bir eleman sadece bir kez yazılır.","Kartezyen çarpım problemlerinde, verilen sıralı ikililerden birinci ve ikinci elemanları kullanarak kümelerin elemanlarını 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olduğunda, P×R kartezyen çarpımı 6×2=6 elemanlıdır.","A×B kartezyen çarpımının eleman sayısı, A×B=20 ve B×A=30 olduğunda, A ve B kümelerinin eleman sayılarının çarpımıdır.","A×B=20 ve B×A=30 olduğunda, A kümesi 4 elemanlı, B kümesi 5 elemanlı ve C kümesi 6 elemanlı olabilir."]},"beginTime":562,"endTime":739,"href":"/video/preview/17130117226698324207?parent-reqid=1765300689427999-15938977280956349545-balancer-l7leveler-kubr-yp-vla-189-BAL&text=Abi-%C5%9Fenol&t=562&ask_summarization=1"},{"index":7,"title":"Birleşim Eleman Sayısı Hesaplama","list":{"type":"unordered","items":["A, B ve C kümelerinin birleşiminin eleman sayısını en aza indirmek için kesişime en fazla eleman yerleştirilmelidir.","A, B ve C kümelerinin birleşiminin en az 6 elemanlı olduğu hesaplanmıştır.","Birleşimin eleman sayısını en aza indirmek için, kesişime en fazla eleman yerleştirmek için kümelerin eleman sayılarının birbirine yakın seçilmesi gerekir."]},"beginTime":739,"endTime":823,"href":"/video/preview/17130117226698324207?parent-reqid=1765300689427999-15938977280956349545-balancer-l7leveler-kubr-yp-vla-189-BAL&text=Abi-%C5%9Fenol&t=739&ask_summarization=1"},{"index":8,"title":"Küme İşlemleri ve Eleman Sayıları","list":{"type":"unordered","items":["A birleşim B'nin eleman sayısı ile A'nın eleman sayısı çarpımı 99, A kesişim B'nin eleman sayısı ile A'nın eleman sayısı çarpımı 45 olarak verilmiştir.","99 ve 45 sayılarının ortak çarpanı 9 olduğundan, A kümesinin toplam eleman sayısı 9'dur.","B fark A'nın eleman sayısı 2 olarak hesaplanmıştır."]},"beginTime":828,"endTime":1004,"href":"/video/preview/17130117226698324207?parent-reqid=1765300689427999-15938977280956349545-balancer-l7leveler-kubr-yp-vla-189-BAL&text=Abi-%C5%9Fenol&t=828&ask_summarization=1"},{"index":9,"title":"Kartezyen Çarpım Özellikleri","list":{"type":"unordered","items":["A kartezyen çarpımı (A birleşim B) kesişim C şeklinde yazıldığında, dağılma özelliği kullanılarak A kartezyen çarpım B ve A kartezyen çarpım C şeklinde yazılabilir.","Kartezyen çarpım işlemi önceliklidir ve aradaki birleşme işlemi araya gelir.","Kartezyen çarpım işlemi sağdan sola da yapılabilir, bu durumda kesişim işlemi araya gelir."]},"beginTime":1004,"endTime":1085,"href":"/video/preview/17130117226698324207?parent-reqid=1765300689427999-15938977280956349545-balancer-l7leveler-kubr-yp-vla-189-BAL&text=Abi-%C5%9Fenol&t=1004&ask_summarization=1"},{"index":10,"title":"Kartezyen Çarpım Örneği","list":{"type":"unordered","items":["K, L ve M kümeleri için K birleşim L'nin eleman sayısı 10, L kartezyen çarpım B'nin eleman sayısı çarpımı 24, K kartezyen çarpım M birleşim L kartezyen çarpım M'nin eleman sayısı 30 olarak verilmiştir.","M kümesinin eleman sayısı 3, L kümesinin eleman sayısı 8 olarak hesaplanmıştır.","Kartezyen çarpımın grafiği için sıralı ikililer yatay ve dikey eksenlere yerleştirilir, ikisinin kesiştiği nokta sıralı ikilinin konumunu 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