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Ayrıca, bu konunun bir sonraki konu olan binom katsayıları için temel olduğu belirtilmektedir."]},"endTime":793,"title":"Matematik Dersi: Pascal Üçgeni ve Sayılar","beginTime":0}],"fullResult":[{"index":0,"title":"Pascal Üçgeni ve Özellikleri","list":{"type":"unordered","items":["Pascal üçgeni (hayyam üçgeni olarak da bilinir) bir ile başlayıp bir üçgen şeklinde bir-bir şeklinde devam eden ve bir ile sonlanan bir sayı dizisidir.","Pascal üçgeninde sayılar, üstteki iki sayının toplamı olarak hesaplanır (örneğin 1+1=2, 1+2=3, 2+3=5).","Pascal üçgeninde sıfırıncı satır birinci satıra gelir ve sıfırıncı satırdaki eleman 1'dir (2⁰=1)."]},"beginTime":1,"endTime":103,"href":"/video/preview/16937830401907207508?parent-reqid=1774830802188217-17161838052845125504-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Pascal+Garsaud&t=1&ask_summarization=1"},{"index":1,"title":"Pascal Üçgeninin Kombinasyon İlişkisi","list":{"type":"unordered","items":["Pascal üçgenindeki sayılar kombinasyon sayılarını temsil eder; örneğin beşinci satırda 1, 5, 10, 10, 5, 1 sayıları sırasıyla 5'ün 0'lısı, 1'lisi, 2'lisini, 3'lüsü, 4'lüsü ve 5'lisini gösterir.","Herhangi bir n elemanlı kümenin tüm alt kümelerinin sayısı 2ⁿ'dir ve bu sayı Pascal üçgenindeki n. satırdaki sayıların toplamına eşittir.","Pascal üçgenindeki bir sayı, aynı satırdaki bir sonraki sayı ile birlikte toplandığında bir sonraki satırdaki karşılık gelen sayıya eşittir (örneğin 4C1 + 4C2 = 5C2)."]},"beginTime":103,"endTime":336,"href":"/video/preview/16937830401907207508?parent-reqid=1774830802188217-17161838052845125504-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Pascal+Garsaud&t=103&ask_summarization=1"},{"index":2,"title":"Pascal Özdeşliği ve Uygulamaları","list":{"type":"unordered","items":["Pascal özdeşliği, ardışık gelen kombinasyonların toplamının bir sonraki satırdaki karşılık gelen kombinasyona eşit olduğunu gösterir (nCr + nC(r+1) = (n+1)C(r+1)).","Pascal özdeşliği, ardışık kombinasyonların toplamını hesaplamak için kullanılır ve binom katsayıları konusunda sıkça başvurulur.","Pascal üçgeni ve özdeşliği, kombinasyon problemlerini çözmek için önemli araçlardır ve sonraki binom katsayıları konusunda da sıkça kullanılır."]},"beginTime":336,"endTime":692,"href":"/video/preview/16937830401907207508?parent-reqid=1774830802188217-17161838052845125504-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Pascal+Garsaud&t=336&ask_summarization=1"},{"index":3,"title":"Matematiksel İlişkiler","list":{"type":"unordered","items":["İki sayının sıfırı, birliği, ikili ve üçlüsü şeklinde bir ilişki tanımlanmaktadır.","En+1 ifadesi hatalı olarak yazılmış, doğru formül En+r+1 olarak belirtilmiştir.","Toplama işleminde büyük olan sonuç alınmaktadır."]},"beginTime":693,"endTime":737,"href":"/video/preview/16937830401907207508?parent-reqid=1774830802188217-17161838052845125504-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Pascal+Garsaud&t=693&ask_summarization=1"},{"index":4,"title":"Dersin 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Eğitmen önce verilen bilgileri (F1 kuvveti, A1 yüzey alanı, D2 çapı) listeler, ardından A şıkkında basıncı (P) hesaplamak için Pascal prensibini kullanır ve son olarak B şıkkında büyük pistonun kaldırabileceği yükü (F2) bulmak için gerekli hesaplamaları yapar. Video, hidrolik krikolar, frame sistemleri ve iş makineleri gibi sistemlerde Pascal prensibinin nasıl uygulandığını gösteren bir örnek soru çözümü sunmaktadır."]},"endTime":691,"title":"Pascal Prensibi ve Hidrolik Kriko Soru Çözümü","beginTime":0}],"fullResult":[{"index":0,"title":"Pascal Prensibi ve Hidrolik Kriko Örneği","list":{"type":"unordered","items":["Mustafa Karaca hidrolik eğitim setinde Pascal prensibi ile ilgili bir örnek sunuluyor.","Pascal prensibi, hidrolik krikolar, frame sistemleri ve iş makineleri gibi makinelerde referans alınarak tasarlanmaktadır.","Soruda, F1 kuvvetiyle 120 Newton'luk bir yük kaldırılan hidrolik kriko sisteminde, F2 kuvvetiyle büyük pistonun kaldırılabileceği yük hesaplanacaktır."]},"beginTime":1,"endTime":92,"href":"/video/preview/16173893354740786470?parent-reqid=1774830802188217-17161838052845125504-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Pascal+Garsaud&t=1&ask_summarization=1"},{"index":1,"title":"Verilenler ve İlk 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Özellikle bot klasörü, efi klasörü, su klasör ve windows klasörünün silinmesi, vmp uefi ve güncelleme iki dosyalarının indirilmesi ve kopyalanması, Windows 7 dosyasının USB belleğe yerleştirilmesi gibi işlemler gösterilmektedir. Ayrıca UEFI destekli bir ISO indirilerek UEFI destekli işletim sistemlerinin nasıl kurulacağı da açıklanmaktadır."]},"endTime":154,"title":"Pascal Multi Bot Hatalarının Çözümü","beginTime":0}],"fullResult":[{"index":0,"title":"Pascal Multi Bot Hatasının Çözümü","list":{"type":"unordered","items":["Pascal Multi Bot'un iki hatasının çözümü için öncelikle botu indirip klasöre çıkartmak gerekiyor.","Kurulum için USB seviyesi hard disk kurulumu videodaki gibi yapılmalı.","Kurulum sonrası flash belleğin içinden bot, efi, su ve windows klasörleri seçip silinmesi gerekiyor."]},"beginTime":0,"endTime":28,"href":"/video/preview/1661630169013159591?parent-reqid=1774830802188217-17161838052845125504-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Pascal+Garsaud&t=0&ask_summarization=1"},{"index":1,"title":"Güncelleme İşlemleri","list":{"type":"unordered","items":["Dört klasör silindikten sonra güncelleme bir ve iki işlemlerini yapmak gerekiyor.","VMP UEFI için indirilen dosyanın içeriği flash belleğin 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Eğitmen, basit bir for döngüsüne giriş yaparak izleyicilere adım adım anlatmaktadır.","Videoda, ekrana 1'den 10'a kadar olan sayıları yazdırmak için for döngüsünün nasıl kullanılacağı gösterilmektedir. Eğitmen önce amacın belirlenmesi, gereksinimlerin tanımlanması ve programın ana şablonunun oluşturulmasıyla başlar. Ardından for döngüsünün yapısı, değişken tanımlama, döngü koşulları ve kod bloklarının nasıl oluşturulacağı detaylı olarak anlatılır. 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