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p değeri, belirli integralde yerine konularak işlem yapılır."]},"beginTime":526,"endTime":631,"href":"/video/preview/22731456887670609?parent-reqid=1765291021883348-16281389530044041992-znjl6qkmk2bip2zr-BAL&text=1B+Akademi&t=526&ask_summarization=1"},{"index":5,"title":"Tüketici Rant Hesaplama Yöntemi","list":{"type":"unordered","items":["Tüketici rant hesaplaması için talep fonksiyonu kullanılır ve P yerine verilen değer yazılır.","Hesaplama için önündeki, üstündeki ve kendisi değerleri kullanılır; örneğin x²/2 formülü kullanılır.","Tüketici rant hesaplamasında belirli integral bilmeden de sorular çözülebilir."]},"beginTime":635,"endTime":752,"href":"/video/preview/22731456887670609?parent-reqid=1765291021883348-16281389530044041992-znjl6qkmk2bip2zr-BAL&text=1B+Akademi&t=635&ask_summarization=1"},{"index":6,"title":"Örnek Sorular ve Çözümleri","list":{"type":"unordered","items":["2014 bahar ara sınav sorusunda tüketici rantı hesaplanırken x=30 çıkar ve sonuç 92 bulunur.","Üretici rant 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BTK Akademi'nin sunduğu kurslar genellikle ücretsiz olup, siber güvenlik, yazılım geliştirme, veri analizi gibi çeşitli bilişim alanlarında eğitim içermektedir. 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Yeni nesil sorularla bilmen gereken her şeyi bu videoda bulabilirsin. 😎 Yepyeni içerikler yolda, haberdar olmak için abone olmayı unutma 👉...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3379619/82efbbdbeecca7a906a37fab20a2a056/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/LyMqIAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"6","reqid":"1765291021883348-16281389530044041992-znjl6qkmk2bip2zr-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1765291021883348-16281389530044041992-znjl6qkmk2bip2zr-BAL&text=videoid:2516385697455634069","teaser":[{"list":{"type":"unordered","items":["Bu video, bir eğitmen tarafından sunulan matematik eğitim içeriğidir. Eğitmen, matematiğin temel noktalarını 10 dakikada özetleyerek anlatmaktadır.","Video, sayı kümelerini (rakamlar, doğal sayılar, tam sayılar, rasyonel sayılar, irrasyonel sayılar ve gerçek sayılar) tanıtarak başlıyor ve bunların küme şeklinde gösterimini açıklıyor. Ardından tek-çift sayılar, ardışık sayılar, asal sayılar ve aralarında asal sayılar konuları ele alınıyor. Daha sonra işlem önceliği, tam sayılarla toplama, çıkarma, çarpma ve bölme işlemlerinin kuralları örneklerle anlatılıyor. Son bölümde ise üslü ifadeler ve dağılma özelliği konuları işleniyor.","Video boyunca eğitmen, konuları açıklayarak çeşitli sorular çözmekte ve öğrencilerin anlayabileceği şekilde örnekler vermektedir. Video, bir ödül sorusuyla sonlanmaktadır."]},"endTime":653,"title":"Matematik Temel Konuları 10 Dakikada","beginTime":0}],"fullResult":[{"index":0,"title":"Matematik Temel Kavramları","list":{"type":"unordered","items":["Video, matematiğin temel noktalarını on dakikada özetleyerek, matematikte kullanılan temel kavramları ve bunlarla ilgili soruları çözecektir."]},"beginTime":0,"endTime":26,"href":"/video/preview/2516385697455634069?parent-reqid=1765291021883348-16281389530044041992-znjl6qkmk2bip2zr-BAL&text=1B+Akademi&t=0&ask_summarization=1"},{"index":1,"title":"Sayı Kümeleri","list":{"type":"unordered","items":["Rakamlar 0'dan 9'a kadar olan sayıları ifade eder, doğal sayılar N harfi ile gösterilir ve 0'dan başlayarak sonsuza kadar gider.","Tam sayılar kümesi Z harfi ile gösterilir ve eksi sonsuzdan artı sonsuza kadar gider.","Rasyonel sayılar kümesi Q harfi ile gösterilir ve 1/2, 5/3 gibi kesirli sayıları içerir.","İrrasyonel sayılar rasyonel olmayan sayıları ifade eder ve π veya kök içinde kalıp çıkamayan sayılardır.","Gerçek sayılar kümesi R harfi ile gösterilir ve tüm sayıları kapsar.","Sayı kümeleri içinde yer alır: doğal sayılar, tam sayılar, rasyonel sayılar, irrasyonel sayılar ve en dışta tüm sayıları kapsayan gerçek sayılar."]},"beginTime":26,"endTime":146,"href":"/video/preview/2516385697455634069?parent-reqid=1765291021883348-16281389530044041992-znjl6qkmk2bip2zr-BAL&text=1B+Akademi&t=26&ask_summarization=1"},{"index":2,"title":"Tek ve Çift Sayılar","list":{"type":"unordered","items":["Çift sayılar 0'dan başlayarak 2, 4, 6, 8, 10 şeklinde giderken, tek sayılar 1'den başlayarak 1, 3, 5, 7 şeklinde sonsuza kadar gider.","Ardışık sayılar arka arkaya gelen sayılardır, ardışık çift sayılar sadece çift sayılardan oluşurken, ardışık tek sayılar sadece tek sayılardan oluşur.","İki çift sayının toplamı çift, bir çift ve bir tek sayının toplamı tek, iki tek sayının toplamı çifttir.","İki çift sayının çarpımı çift, bir çift ve bir tek sayının çarpımı çift, iki tek sayının çarpımı tektir."]},"beginTime":146,"endTime":300,"href":"/video/preview/2516385697455634069?parent-reqid=1765291021883348-16281389530044041992-znjl6qkmk2bip2zr-BAL&text=1B+Akademi&t=146&ask_summarization=1"},{"index":3,"title":"Asal ve Aralarında Asal Sayılar","list":{"type":"unordered","items":["Asal sayılar, 1'e ve kendisine bölünen, 1'den büyük doğal sayılardır ve en küçük asal sayı 2'dir.","Çift asal sayı sadece 2'dir.","Aralarında asal sayılardır, birbirlerine bölünmeyen sayılardır."]},"beginTime":300,"endTime":352,"href":"/video/preview/2516385697455634069?parent-reqid=1765291021883348-16281389530044041992-znjl6qkmk2bip2zr-BAL&text=1B+Akademi&t=300&ask_summarization=1"},{"index":4,"title":"İşlem Önceliği","list":{"type":"unordered","items":["İşlem önceliği: önce üslü sayılar, sonra parantezli işlemler, ardından çarpma ve bölme, en son toplama ve çıkarma yapılır.","Çarpma ve bölme aynı anda varsa soldan başlanır."]},"beginTime":352,"endTime":412,"href":"/video/preview/2516385697455634069?parent-reqid=1765291021883348-16281389530044041992-znjl6qkmk2bip2zr-BAL&text=1B+Akademi&t=352&ask_summarization=1"},{"index":5,"title":"Tam Sayılarla İşlemler","list":{"type":"unordered","items":["Tam sayılarda, aynı işaretli sayıların toplamında ortak işaret yazılır.","Farklı işaretli sayıların toplamında, büyük sayıdan küçük sayı çıkarılır ve büyük sayının işareti yazılır.","Çıkarma işleminde, ikinci sayının işareti değiştirilerek toplama işlemine dönüştürülür.","Çarpma ve bölmede, aynı işaretli sayıların çarpımı veya bölümü pozitiftir, zıt işaretli sayıların çarpımı veya bölümü negatiftir."]},"beginTime":412,"endTime":509,"href":"/video/preview/2516385697455634069?parent-reqid=1765291021883348-16281389530044041992-znjl6qkmk2bip2zr-BAL&text=1B+Akademi&t=412&ask_summarization=1"},{"index":6,"title":"Üslü İfadeler","list":{"type":"unordered","items":["Bir üslü ifadenin üzerindeki sayı, çarpılacak olan 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Eğitimci, kanunun amacı, kapsamı, tanımlar bölümü, temel ilkeler, öğretmenlerin hakları, ödev ve sorumlulukları, genel afet durumları, öğretmenlerin görevlendirilmesi ve yöneticilerin sorumlulukları gibi konuları açıklamaktadır.","Video, öğretmenlik meslek kanununun kapsamını Milli Eğitim Bakanlığı'na bağlı eğitim kurumlarında görev yapan öğretmenler, özel eğitim kurumlarında görev yapan öğretmenler ve diğer kamu kurumlarında görev yapan öğretmenler ile Milli Eğitim Akademisi'nin kuruluşu ve görevleri olarak belirtmektedir. Ayrıca okul müdürlerinin yönetim ve denetim görevleri, liderlik görevleri ve eğitim-öğretim programlarının amaçlarına uygun yürütülmesini sağlama gibi konular da detaylı şekilde açıklanmaktadır."]},"endTime":1412,"title":"Öğretmenlik Meslek Kanunu Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Öğretmenlik Meslek Kanunu'nun Genel Bilgileri","list":{"type":"unordered","items":["75/28 sayılı Öğretmenlik Meslek Kanunu'nun 1. ve 2. bölümleri işlenecek.","Kanunun amacı, öğretmenlerin seçilmelerini, yetiştirmelerini, atanmalarını, haklarını, ödev ve sorumluluklarını, ödül ve cezalarını, kariyer basamaklarını ve Milli Eğitim Akademisi'nin kurulması ile ilgili konuları düzenlemektir.","Kanunun kapsamı, Milli Eğitim Bakanlığı'na bağlı eğitim kurumlarında görev yapan öğretmenler ve yöneticileri, özel eğitim kurumlarında görev yapan öğretmenler ve yöneticileri, Milli Eğitim Bakanlığı dışındaki kamu kurumlarında görev yapan öğretmenler ve yöneticileri ve Milli Eğitim Akademisi'nin 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