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Dersin sonunda öğrenciler sorular sormakta ve öğretmen, asal metriklerin neden kullanıldığını ve altasal metriklerin neden kullanılmadığını açıklamaktadır."]},"endTime":2932,"title":"Nattalks 4. 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ifade eder ve bu bir tam uzaydır.","Yakınsak diziler, aralarındaki farkın zamanla istenilen kadar küçük olabildiği dizilerdir.","Tam sayılar kümesi (Z) bir tam uzay olup olmadığı sorgulanmaktadır."]},"beginTime":871,"endTime":954,"href":"/video/preview/6314355913944041149?parent-reqid=1769432220597034-12696187901501123293-balancer-l7leveler-kubr-yp-klg-2-BAL&text=Math+Talks+by+Jordan&t=871&ask_summarization=1"},{"index":5,"title":"Psel Metrik ve Geometrik Seriler","list":{"type":"unordered","items":["Psel metrik altında Z kümesinin tam olup olmadığı incelenmektedir.","Geometrik seriler (1+2+2²+...) reel sayılar kümesinde yakınsamaz çünkü r=2 olduğunda serinin toplamı sonsuza gider.","Geometrik serilerin yakınsaması için r'nin mutlak değerinin 1'den küçük olması 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sayılarda yakınsar.","Tam sayılar kümesi (Z) psel metrik altında tam değildir çünkü limit bir rasyonel sayı olabilir."]},"beginTime":1222,"endTime":1357,"href":"/video/preview/6314355913944041149?parent-reqid=1769432220597034-12696187901501123293-balancer-l7leveler-kubr-yp-klg-2-BAL&text=Math+Talks+by+Jordan&t=1222&ask_summarization=1"},{"index":8,"title":"Psel Tam Sayılar","list":{"type":"unordered","items":["psel metrik altında Z'nin tamlamasına \"psel tam sayılar\" denir ve Zp şeklinde gösterilir.","Q kümesinin psel metrik altında tamlamasına Qp denir.","Psel tam sayılar, her sayıyı p tabanında yazarak ve bu tabandaki sayıların uzamasını düşünerek elde edilir."]},"beginTime":1357,"endTime":1485,"href":"/video/preview/6314355913944041149?parent-reqid=1769432220597034-12696187901501123293-balancer-l7leveler-kubr-yp-klg-2-BAL&text=Math+Talks+by+Jordan&t=1357&ask_summarization=1"},{"index":9,"title":"Metrik ve Küme Tamamlanışı","list":{"type":"unordered","items":["Reel sayılar kümesi, 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