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Öncelikle problem tanımlanıp, çözüm yöntemi açıklanmakta, ardından doğruluk tabloları oluşturulup hesaplamalar adım adım gösterilmektedir. Sonuç olarak, her iki bileşik önermenin de aynı doğruluk değerlerini ürettiği ve bu nedenle mantıksal eşdeğer olduğu sonucuna varılmaktadır."]},"endTime":767,"title":"Ayrık Matematik Dersinde Mantıksal Eşdeğerlik Problemi Çözümü","beginTime":0}],"fullResult":[{"index":0,"title":"Ayrık Matematik Sorusu","list":{"type":"unordered","items":["Videoda ayrık matematik dersinden vize veya final sınavlarında çıkabilecek bir soru incelenecek.","Soru: Doğruluk tablosu kullanılarak \"p'nin olumsuzu ise q ise r\" ile \"q ise p veya r\" bileşik önermelerinin mantıksal eşdeğer olup olmadığını ispatlamak isteniyor.","İngilizce öğrenim gören kişiler için soruların altında İngilizce versiyonları da eklenecek."]},"beginTime":1,"endTime":63,"href":"/video/preview/10434484769741727499?parent-reqid=1769234849540890-13975972211557921318-balancer-l7leveler-kubr-yp-klg-229-BAL&text=Adiar+Math&t=1&ask_summarization=1"},{"index":1,"title":"Mantıksal Eşdeğerlik 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Eğitmen, mantık, ispat yöntemleri, küme teorisi, bağıntılar, fonksiyonlar, sayı teorileri (modüler aritmetik), şifreleme, kombinatorik ve graf teorisi gibi dokuz ana konuyu ve bunların İngilizce karşılıklarını açıklamaktadır. Video, bu konuların sırasıyla işleneceğini belirterek sona ermektedir."]},"endTime":452,"title":"Ayrık Matematik Dersinde İşlenecek Konular","beginTime":0}],"fullResult":[{"index":0,"title":"Ayrık Matematik Dersinin İçeriği","list":{"type":"unordered","items":["Bu videoda ayrık matematik dersinde işlenecek konuların sıralaması anlatılacaktır.","Ayrık matematik dersindeki konuların sıralaması üniversiteler arasında farklılık gösterebilir.","Ayrık matematik dersinin İngilizce ismi \"discreet mathematics\" olarak ifade edilir."]},"beginTime":1,"endTime":30,"href":"/video/preview/8157772552178279357?parent-reqid=1769234849540890-13975972211557921318-balancer-l7leveler-kubr-yp-klg-229-BAL&text=Adiar+Math&t=1&ask_summarization=1"},{"index":1,"title":"Mantık ve İspat Yöntemleri","list":{"type":"unordered","items":["Dersin ilk konusu mantıktır ve İngilizce karşılığı \"logic\" olarak belirtilmiştir.","İkinci konu ispat yöntemleri olup, bu konuda matematiksel tümevarım (İngilizce: mathematical induction) işlenecektir.","İspat yöntemleri konusu sınavlarda önemli bir yere sahiptir."]},"beginTime":30,"endTime":121,"href":"/video/preview/8157772552178279357?parent-reqid=1769234849540890-13975972211557921318-balancer-l7leveler-kubr-yp-klg-229-BAL&text=Adiar+Math&t=30&ask_summarization=1"},{"index":2,"title":"Küme Teorisi ve Bağıntılar","list":{"type":"unordered","items":["Üçüncü konu küme teorisidir (İngilizce: set theory) ve lise yıllarından hatırlanması gereken bir konudur.","Dördüncü konu bağıntılar olup İngilizce karşılığı \"relations\" olarak belirtilmiştir.","Beşinci konu fonksiyonlar olup İngilizce karşılığı \"functions\" olarak ifade edilmiştir."]},"beginTime":121,"endTime":202,"href":"/video/preview/8157772552178279357?parent-reqid=1769234849540890-13975972211557921318-balancer-l7leveler-kubr-yp-klg-229-BAL&text=Adiar+Math&t=121&ask_summarization=1"},{"index":3,"title":"Sayı Teorisi ve Şifreleme","list":{"type":"unordered","items":["Altıncı konu sayı teorisidir 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