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Son olarak, kurulumun başarılı olduğunu göstermek için bir ores örneği üzerinden modun nasıl çalıştığı test edilmektedir."]},"endTime":346,"title":"Minecraft Java 1.21.11 İçin Continuity Mod Kurulum Rehberi","beginTime":0}],"fullResult":[{"index":0,"title":"Continuity Mod İndirme","list":{"type":"unordered","items":["Video, Minecraft Java versiyonu 1.21.11 için Continuity modunun nasıl indirileceğini ve kurulacağını gösteriyor.","Mod indirmek için önce web tarayıcısında \"mod rinse\" araması yapılıp, modern.com sitesine gidilmeli.","Modern.com sitesinde \"Discover Content\" bölümünden \"Mods\" seçeneğine tıklayıp, \"Continuity\" araması yapılmalı."]},"beginTime":0,"endTime":41,"href":"/video/preview/8403623230636827510?parent-reqid=1769308601721773-4250913368159177836-balancer-l7leveler-kubr-yp-sas-68-BAL&text=Continuity&t=0&ask_summarization=1"},{"index":1,"title":"Mod ve Fabric API İndirme","list":{"type":"unordered","items":["Continuity modunu indirmek için \"Versions\" bölümünden \"Game Versions\" seçeneğine tıklayıp, 1.21.11 versiyonunu seçip yeşil indirme butonuna tıklanmalı.","Fabric API'yi indirmek için tekrar \"Discover Content\" bölümünden \"Mods\" seçeneğine tıklayıp, \"Fabric API\" araması yapılmalı.","Fabric API'yi de 1.21.11 versiyonunu seçip yeşil indirme butonuna tıklanmalı."]},"beginTime":41,"endTime":90,"href":"/video/preview/8403623230636827510?parent-reqid=1769308601721773-4250913368159177836-balancer-l7leveler-kubr-yp-sas-68-BAL&text=Continuity&t=41&ask_summarization=1"},{"index":2,"title":"Resource Pack Seçimi","list":{"type":"unordered","items":["Continuity modunu kullanmak için bir resource pack seçmek gerekiyor.","\"Discover Content\" bölümünden \"Resource Packs\" seçeneğine tıklayıp, \"Continuity\" araması yapılmalı.","Örnek olarak \"Immersive Glowing Ores\" resource packı seçilebilir ve 1.21.11 versiyonunu seçip 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Öğretmen, tahtada şekiller ve grafikler çizerek konuyu görsel olarak açıklamaktadır.","Videoda fonksiyonların sürekliliği konusu detaylı şekilde ele alınmaktadır. Öğretmen, bir fonksiyonun sürekli olabilmesi için gerekli üç temel şartı (tanımlı olması, limitinin olması ve limit değerinin fonksiyon değerine eşit olması) açıklamakta ve tanımsız olduğu noktalarda süreklilik incelenmemesi gerektiğini vurgulamaktadır. Video, teorik bilgilerin ardından çeşitli grafikler üzerinden örneklerle pekiştirilmektedir.","Öğretmen ayrıca tanımsızlık durumunda \"süreksizdir\" ifadesinin kullanılamayacağını, tanımlı olup içi boş olan yerlerde ve tanımlı olup kopma olan yerlerde süreklilik olmadığını belirtmektedir. Video, konunun yanlış anlatıldığı noktaları ele alarak yaygın hataları göstermekte ve örnek sorularla konuyu pekiştirmektedir."]},"endTime":1995,"title":"Matematik Dersinde Fonksiyonların Sürekliliği","beginTime":0}],"fullResult":[{"index":0,"title":"Süreklilik Kavramının Önemi","list":{"type":"unordered","items":["Süreklilik, limit kadar önemli bir kavramdır ve bazen karmaşık hale gelebilir.","Bazı yerlerde süreklilik yanlış anlatılıyor, bu yüzden doğru tanımı öğrenmek önemlidir.","MEB'in kabul ettiği tanım, eskiden anlatılanlarla farklı olabilir."]},"beginTime":6,"endTime":76,"href":"/video/preview/1064353724351825922?parent-reqid=1769308601721773-4250913368159177836-balancer-l7leveler-kubr-yp-sas-68-BAL&text=Continuity&t=6&ask_summarization=1"},{"index":1,"title":"Süreklilik Kavramının Tanımı","list":{"type":"unordered","items":["Süreklilik, hiçbir kopuş, parçalanış veya içi boşluk olmayan bir durumudur.","Fonksiyonun sürekli olması, grafiğin üstüne el koyup hiç kopmadan ilerlenebilmesi anlamına gelir.","Doğrusal fonksiyonlar tanım aralıklarında sürekli olur çünkü hiçbir yerde kopma veya boşluk yoktur."]},"beginTime":76,"endTime":173,"href":"/video/preview/1064353724351825922?parent-reqid=1769308601721773-4250913368159177836-balancer-l7leveler-kubr-yp-sas-68-BAL&text=Continuity&t=76&ask_summarization=1"},{"index":2,"title":"Süreklilik İçin Gerekli Şartlar","list":{"type":"unordered","items":["Bir fonksiyonun sürekli olabilmesi için üç şartı vardır: fonksiyonun x=a'da tanımlı olması.","İkinci şart, fonksiyonun x=a noktasında limitinin olmasıdır.","Üçüncü şart ise, limitin a noktasındaki fonksiyon değerine eşit olmasıdır."]},"beginTime":173,"endTime":343,"href":"/video/preview/1064353724351825922?parent-reqid=1769308601721773-4250913368159177836-balancer-l7leveler-kubr-yp-sas-68-BAL&text=Continuity&t=173&ask_summarization=1"},{"index":3,"title":"Süreklilik İncelemesi","list":{"type":"unordered","items":["Fonksiyonların sürekli olduğu noktalar, hiçbir kopuş yaşanmayan yerlerdir.","Bir noktada süreklilik incelenirken önce fonksiyonun tanımlı olup olmadığı kontrol edilir.","Fonksiyon tanımsız olduğu noktalarda süreklilik incelenmez, sadece tanımlı olan noktalarda incelenir."]},"beginTime":343,"endTime":524,"href":"/video/preview/1064353724351825922?parent-reqid=1769308601721773-4250913368159177836-balancer-l7leveler-kubr-yp-sas-68-BAL&text=Continuity&t=343&ask_summarization=1"},{"index":4,"title":"Fonksiyonun Sürekliliği","list":{"type":"unordered","items":["Fonksiyonun sürekliliği için önce o noktada tanımlı olması gerekir.","Fonksiyon tanımlıysa, sağdan ve soldan limitlerin aynı olması gerekir, aksi takdirde fonksiyon o noktada süreksizdir.","Fonksiyonun içi boş olduğu yerlerde ve kopma olduğu yerlerde sürekliliği yoktur."]},"beginTime":527,"endTime":629,"href":"/video/preview/1064353724351825922?parent-reqid=1769308601721773-4250913368159177836-balancer-l7leveler-kubr-yp-sas-68-BAL&text=Continuity&t=527&ask_summarization=1"},{"index":5,"title":"Tanımsız Noktalarda Süreklilik","list":{"type":"unordered","items":["Fonksiyon tanımsız olduğu noktalarda süreklilik inceleyemeyiz.","Fonksiyonun sürekli olduğu en geniş küme, süreksiz olduğu noktalar hariç tüm reel sayılar kümesidir.","Tanımsız olduğu noktalarda \"süreksizdir\" denemez, çünkü süreklilik incelenmemiştir."]},"beginTime":629,"endTime":894,"href":"/video/preview/1064353724351825922?parent-reqid=1769308601721773-4250913368159177836-balancer-l7leveler-kubr-yp-sas-68-BAL&text=Continuity&t=629&ask_summarization=1"},{"index":6,"title":"Süreklilik Örnekleri","list":{"type":"unordered","items":["Fonksiyonun sürekliliği için önce o noktada tanımlı olup olmadığı kontrol edilir.","Tanımlıysa, grafik kopmuşsa (limit yoksa) fonksiyon süreksizdir.","Tanımlı ve limit varsa, fonksiyon değeri ile limit değeri eşitse sürekli, eşit değilse süreksizdir."]},"beginTime":894,"endTime":1154,"href":"/video/preview/1064353724351825922?parent-reqid=1769308601721773-4250913368159177836-balancer-l7leveler-kubr-yp-sas-68-BAL&text=Continuity&t=894&ask_summarization=1"},{"index":7,"title":"Süreklilik Kavramının Doğru Anlaşılması","list":{"type":"unordered","items":["Süreklilik incelenirken önce fonksiyonun tanımlı olup olmadığı kontrol edilmelidir; tanımsız bir noktada süreklilik incelenmez.","Bir noktada fonksiyon tanımsız ise, o noktada süreklilik incelenmez ve fonksiyonun süreksiz olduğu noktaları sorulduğunda \"tanım kümesinde süreklidir\" şeklinde cevap verilmelidir.","Tanımsızlık varsa süreklilik incelenmez, bu konuda kitaplarda bile yanlış anlatımlar olabilir çünkü müfredata hakim olunmadan anlatımlar yapılabilmektedir."]},"beginTime":1157,"endTime":1412,"href":"/video/preview/1064353724351825922?parent-reqid=1769308601721773-4250913368159177836-balancer-l7leveler-kubr-yp-sas-68-BAL&text=Continuity&t=1157&ask_summarization=1"},{"index":8,"title":"Süreklilik İncelenmesi İçin Kriterler","list":{"type":"unordered","items":["Bir noktada fonksiyon tanımsız ise süreklilik incelenmez.","Tanımlı bir noktada fonksiyonun grafiğinde kopma varsa süreklilik yoktur.","Tanımlı bir noktada fonksiyonun grafiğinin içi boş ise süreklilik yoktur."]},"beginTime":1412,"endTime":1541,"href":"/video/preview/1064353724351825922?parent-reqid=1769308601721773-4250913368159177836-balancer-l7leveler-kubr-yp-sas-68-BAL&text=Continuity&t=1412&ask_summarization=1"},{"index":9,"title":"Süreklilik Sorularında Uygulama","list":{"type":"unordered","items":["Süreklilik sorularında önce tanım kümesi incelenmelidir.","Sorularda fonksiyonun en geniş tanım kümesi, sürekli olduğu en geniş kümesi ve süreksiz olduğu noktaları bulunmalıdır."]},"beginTime":1541,"endTime":1586,"href":"/video/preview/1064353724351825922?parent-reqid=1769308601721773-4250913368159177836-balancer-l7leveler-kubr-yp-sas-68-BAL&text=Continuity&t=1541&ask_summarization=1"},{"index":10,"title":"Süreklilik İncelemesi","list":{"type":"unordered","items":["Fonksiyonun tanım kümesi incelenerek, eksi iki ve bir noktalarında kopukluk olduğu tespit edildi.","Fonksiyonun tüm reel sayılarda tanımlandığı ancak eksi iki ve bir noktalarında süreklilik olmadığı belirtildi.","Sürekli olduğu en geniş küme, tüm reel sayılardan eksi iki ve bir elemanları çıkarılarak bulunabilir."]},"beginTime":1594,"endTime":1712,"href":"/video/preview/1064353724351825922?parent-reqid=1769308601721773-4250913368159177836-balancer-l7leveler-kubr-yp-sas-68-BAL&text=Continuity&t=1594&ask_summarization=1"},{"index":11,"title":"Tanımsız Noktalarda Süreklilik","list":{"type":"unordered","items":["İkinci bir fonksiyon örneğinde, eksi iki, bir ve üç noktalarında fonksiyon tanımsız olduğu tespit edildi.","Tanımsız noktalarda süreklilik incelenemez, çünkü süreklilik sadece tanımlı noktalarda incelenebilir.","Sürekli olduğu en geniş küme, fonksiyonun tanım kümesi olarak belirlendi çünkü tanım kümesindeki tüm noktalarda süreklilik vardır."]},"beginTime":1712,"endTime":1992,"href":"/video/preview/1064353724351825922?parent-reqid=1769308601721773-4250913368159177836-balancer-l7leveler-kubr-yp-sas-68-BAL&text=Continuity&t=1712&ask_summarization=1"}],"linkTemplate":"/video/preview/1064353724351825922?parent-reqid=1769308601721773-4250913368159177836-balancer-l7leveler-kubr-yp-sas-68-BAL&text=Continuity&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Continuity 1 (Definition of Continuity-Continuity in Graphs) FULL 125 Questions IN PDF 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