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You know, that famous irrational number that starts with 3.14 and goes on forever. It is so famous that the 14th day of the 3rd month is...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4566853/31155e68da667cff5b0bc75caad7dcf9/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/xmahRAIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"5","reqid":"1774287871245876-633623927785422535-balancer-l7leveler-kubr-yp-vla-159-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1774287871245876-633623927785422535-balancer-l7leveler-kubr-yp-vla-159-BAL&text=videoid:9124318207733230663","teaser":[{"list":{"type":"unordered","items":["Bu video, pi sayısının gizemli ve önemli özelliklerini anlatan eğitici bir içeriktir. Konuşmacı, pi sayısının ne olduğunu ve günlük hayattaki uygulamalarını açıklamaktadır.","Video, pi sayısının tanımı ve tarihsel gelişimiyle başlayıp, bu sayının fiziksel dünyadaki yeri üzerine odaklanmaktadır. Konuşmacı, pi sayısının sadece çemberlerin çevresiyle ilgili olmadığını, rastgele düşme problemleri, Monte Carlo benzetimi ve nehirlerin kıvrımları gibi çeşitli alanlarda da kullanıldığını göstermektedir. Ayrıca, pi sayısının evrenin en küçük mesafesinden evrenin büyüklüğüne kadar her yerde nasıl önemli olduğunu ve günlük hayattaki birçok fenomenin (gökkuşağı, piyano sesleri, elma şekilleri, süpernova patlamaları) içinde nasıl yer aldığını anlatmaktadır."]},"endTime":651,"title":"Pi Sayısı ve Fiziksel Dünya","beginTime":0}],"fullResult":[{"index":0,"title":"Pi Sayısı ve Önemi","list":{"type":"unordered","items":["Pi sayısı, 3,14 ile başlayıp sonsuza kadar giden meşhur irrasyonel sayıdır ve dünyanın pek çok yerinde 3 ayın 14. günü pi günü olarak kutlanmaktadır.","Pi sayısı, çemberin çevresinin çapına olan oranıdır ve dünya'daki her çembere bakıldığında değişmez.","Pi sayısı 3'e çok yakın bir sayıdır ancak 3 değildir ve bu sayı 4000 yıl önceki insanlar bile 3'ten sonraki bir basamağı iyi biliyorlardı."]},"beginTime":13,"endTime":89,"href":"/video/preview/9124318207733230663?parent-reqid=1774287871245876-633623927785422535-balancer-l7leveler-kubr-yp-vla-159-BAL&text=Pi93Productions&t=13&ask_summarization=1"},{"index":1,"title":"Pi Sayısının Tarihi","list":{"type":"unordered","items":["Arşimet'ten bugünlere kadar pi sayısının yüzlerce basamağı doğru olarak bulunmuş, elle yapılan hesaplamalarda rekor 1946'da kırılmış ve virgülden sonraki 620 basamağı bulunmuştur.","Bilgisayarların icat edilmesiyle pi sayısının hesaplanmasında büyük ilerleme kaydedilmiş, İsviçre'deki bir bilgisayar 108 gün çalışarak pi'nin virgülden sonraki 62,80 trilyon basamağını hesaplamıştır.","Pi sayısının sadece ilk 152 basamağını bilmek evrenin herhangi bir yerinde her türlü işi görmeye yeter de artar bile."]},"beginTime":89,"endTime":183,"href":"/video/preview/9124318207733230663?parent-reqid=1774287871245876-633623927785422535-balancer-l7leveler-kubr-yp-vla-159-BAL&text=Pi93Productions&t=89&ask_summarization=1"},{"index":2,"title":"Pi Sayısının Pratik Kullanımı","list":{"type":"unordered","items":["Gözlemlenebilir evrenin çapı 93 milyar ışık yılıdır ve bu kürenin çevresini pi'nin ilk 152 basamağını kullanarak hesaplarsak hata payı Planck uzunluğundan daha az olur.","Pi'nin sadece ilk 40 basamağını kullanarak evrenin çevresini bir hidrojen atomunun inceliğinden daha az bir hatayla hesaplayabiliriz.","NASA bile hesaplamalarında pi'nin trilyonlarca basamağıyla uğraşmıyor, Voyager uzay aracının bize olan mesafesini hesaplamak için bile pi'nin en fazla 15 basamağına ihtiyaç vardır."]},"beginTime":183,"endTime":272,"href":"/video/preview/9124318207733230663?parent-reqid=1774287871245876-633623927785422535-balancer-l7leveler-kubr-yp-vla-159-BAL&text=Pi93Productions&t=183&ask_summarization=1"},{"index":3,"title":"Pi Sayısını Gösteren İğne Deneyi","list":{"type":"unordered","items":["Pi filoloji yöntemi kullanarak pi sayısının ilk 13 basamağını bilmeniz yeterlidir.","İğne deneyinde, iğnenin çizgilerin üzerine düşme olasılığı yaklaşık %64 olup, bu oran 2/π formülüyle hesaplanır.","1901 yılında Mario Lazarini, bu deneyi 3408 kez deneyerek pi sayısının ilk altı basamağını hesaplamayı başarmıştır."]},"beginTime":272,"endTime":445,"href":"/video/preview/9124318207733230663?parent-reqid=1774287871245876-633623927785422535-balancer-l7leveler-kubr-yp-vla-159-BAL&text=Pi93Productions&t=272&ask_summarization=1"},{"index":4,"title":"Monte Carlo Benzetimi","list":{"type":"unordered","items":["Monte Carlo benzetimi, bilgisayarın bir karenin içerisine rastgele noktalar 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set Pi Day and Pi automatically install simultaneously with a previous video, this video about the art as the time for the launch. I have learned the painful events that took place in Ankara...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4079822/7ff0b5040d5a21c74054915073a69972/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/n_yuhgAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"9","reqid":"1774287871245876-633623927785422535-balancer-l7leveler-kubr-yp-vla-159-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1774287871245876-633623927785422535-balancer-l7leveler-kubr-yp-vla-159-BAL&text=videoid:13237685852570854907","teaser":[{"list":{"type":"unordered","items":["Bu video, Pi Günü'nü kutlayan eğitici bir içeriktir. Videoda Martin Criswinski, Christian Vasil ve Ekrem Güner gibi sanatçıların pi sayısından ilham alarak yaptığı sanat eserleri gösterilmektedir.","Video, pi sayısının matematiksel özellikleri ve sanat dünyasındaki yeri üzerine odaklanmaktadır. İlk olarak pi sayısının dairelerle ilişkisi anlatılmakta, ardından Martin Criswinski'nin renklerle pi sayısını gösteren tabloları, Christian Vasil'in dairesel gösterimleri ve Ekrem Güner'in animasyonları gösterilmektedir. Ayrıca pi sayısının müzikte nasıl ifade edilebileceği, John Wenn'in pusuladaki yönlerle pi sayısını gösteren haritası ve pi sayısının hayat yollarıyla benzerliği ele alınmaktadır. Video, pi sayısının estetik değeri ve matematikle ilgili düşünceler uyandırması üzerine düşüncelerle sonlanmaktadır."]},"endTime":333,"title":"Pi Günü: Pi Sayısının Sanat ve Müzikle İlişkisi","beginTime":0}],"fullResult":[{"index":0,"title":"Pi Günü ve Pi Sayısı","list":{"type":"unordered","items":["3 Mart 14, Pi Günü olarak bilinir ve bu gün tüm dairelerin çevresinin çapının pi katı olduğu, bu oranın tüm zamanlar ve mekanlar için sabit olduğu belirtiliyor.","Pi sayısı, tüm zamanların ve mekanların en şaşırtıcı numaralarından biridir."]},"beginTime":0,"endTime":30,"href":"/video/preview/13237685852570854907?parent-reqid=1774287871245876-633623927785422535-balancer-l7leveler-kubr-yp-vla-159-BAL&text=Pi93Productions&t=0&ask_summarization=1"},{"index":1,"title":"Pi Sayısının Sanatsal Gösterimleri","list":{"type":"unordered","items":["Pi sayısından ilham alınarak yapılmış sanat eserleri gösteriliyor; Martin Criswinski, pi sayısındaki rakamları renklerle eşleştirmiş.","Christian Vasil, pi sayısının dairesel gösterimlerini çalışmış ve rakamları bir dairenin etrafına dizerek çizgiler çekerek sanatsal tablolar oluşturmuş.","Ekrem Güner, sanatçının çalışmasını hareketlendirerek animasyona dönüştürmüş ve art arda gelen rakamlar için dairenin çevresine noktalar yerleştirilmiş."]},"beginTime":30,"endTime":127,"href":"/video/preview/13237685852570854907?parent-reqid=1774287871245876-633623927785422535-balancer-l7leveler-kubr-yp-vla-159-BAL&text=Pi93Productions&t=30&ask_summarization=1"},{"index":2,"title":"Pi Sayısının Özel Özellikleri","list":{"type":"unordered","items":["Pi sayısında dikkat çeken bir nokta, üst taraftaki mor nokta olan \"Feynman noktası\" olarak bilinen, altı tane dokuz rakamının yan yana geldiği an, pi'nin 762. basamağında bulunuyor.","Pi sayısı tamamen rastlantısal olarak ilerliyor gibi görünse de, bilgisayarlar yardımıyla hesaplanan trilyonlarca basamakta bir düzen bulunamamış, ancak matematiksel olarak rassal bir sayı olduğu da ispatlanamamış.","Matematikçi Steven Strogatz'a göre, pi sayısı tamamen rastlantısal olmakla mükemmel bir düzen arasında olmanın inanılmaz bir çekiciliğine sahip."]},"beginTime":127,"endTime":190,"href":"/video/preview/13237685852570854907?parent-reqid=1774287871245876-633623927785422535-balancer-l7leveler-kubr-yp-vla-159-BAL&text=Pi93Productions&t=127&ask_summarization=1"},{"index":3,"title":"Pi Sayısının Diğer Gösterimleri","list":{"type":"unordered","items":["Pi sayısının nasıl işitildiği veya müzikle ifade edilebileceği konusunda müzisyenler çalışmalar yapıyor.","Matematikçi ve filozof John Wenn, pi sayısındaki 0'dan 7'ye kadar olan toplam sekiz rakamın pusuladaki yönleri işaret ettiğini varsaymış.","Pi sayısının rehberliğinde çizilen haritalar, birbirinden tamamen bağımsız şekiller oluşturuyor ve pi sayısının yoluyla gerçekte yürüdüğümüz hayat yolu arasında benzerlikler 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Pi Pico eğitim serisinin 2. videosuyla karşınızdayız. Bu dersimizde potansiyometrenin ne olduğunu ve ne işe yaradığını öğreniyoruz.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3662941/e97069eb3757f9c09fa51863517c8848/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/ezD9OQIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"10","reqid":"1774287871245876-633623927785422535-balancer-l7leveler-kubr-yp-vla-159-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1774287871245876-633623927785422535-balancer-l7leveler-kubr-yp-vla-159-BAL&text=videoid:4870481125443043924","teaser":[{"list":{"type":"unordered","items":["Bu video, Mücahit tarafından sunulan Raspberry Pi Pico eğitim serisinin bir bölümüdür. Mücahit, izleyicilere analog dijital dönüştürücü ve potansiyometre konularını anlatmaktadır.","Video, gerekli malzemelerin tanıtımıyla başlayıp, analog dijital dönüştürücü ve potansiyometre kavramlarının açıklanmasıyla devam ediyor. Ardından potansiyometrenin çalışma prensibi detaylı olarak anlatılıyor ve Raspberry Pi Pico ile potansiyometre arasında devre kurulumu gösteriliyor. Son olarak, Python kodları yazarak potansiyometreden gelen analog değerlerin nasıl okunacağı ve bu değerlerin gerilim değerlerine nasıl dönüştürüleceği adım adım gösteriliyor."]},"endTime":606,"title":"Raspberry Pi Pico Eğitim Serisi: Analog Dijital Dönüştürücü ve Potansiyometre","beginTime":0}],"fullResult":[{"index":0,"title":"Gerekli Malzemeler ve Teorik Bilgi","list":{"type":"unordered","items":["Raspberry Pico eğitim serisinde analog-dijital dönüştürücü, potansiyometre ve Raspberry Pico'da analog veri okuma konuları ele alınacak.","Gerekli malzemeler: erkek-erkek jumper kablo, 10k dirençli potansiyometre, breadboard ve micro USB kablo.","Mikrokontrolcüler analog sinyalleri okuyabilmek için dahili analog-dijital dönüştürücü (ADC) özelliğine sahiptir."]},"beginTime":0,"endTime":77,"href":"/video/preview/4870481125443043924?parent-reqid=1774287871245876-633623927785422535-balancer-l7leveler-kubr-yp-vla-159-BAL&text=Pi93Productions&t=0&ask_summarization=1"},{"index":1,"title":"Potansiyometre Hakkında Bilgi","list":{"type":"unordered","items":["Potansiyometre, üç bacaklı kontrol edilebilir bir dirençtir ve üzerindeki hareketli parçanın çevrilmesiyle direnç değeri değiştirilebilir.","Potansiyometrenin iç yapısında siyah kısım dirençli madde olup, 1 ve 3 numaralı bacak arasındaki toplam direnç 10kΩ'dır.","Orta bacağın (2 numaralı) hareket ettirilmesiyle 2 ve 3 numaralı bacak arasındaki mesafe değişir, bu da direnç değerini ve gerilimi etkiler."]},"beginTime":77,"endTime":161,"href":"/video/preview/4870481125443043924?parent-reqid=1774287871245876-633623927785422535-balancer-l7leveler-kubr-yp-vla-159-BAL&text=Pi93Productions&t=77&ask_summarization=1"},{"index":2,"title":"Devre Kurulumu ve Kod Yazımı","list":{"type":"unordered","items":["Devre kurulumu breadboard üzerinde Raspberry Pico ve potansiyometre arasında gerçekleştirilmektedir.","Kod yazımında \"import machine\" ve \"import utime\" kütüphaneleri kullanılır, utime kütüphanesi milisaniyelik bekleme süreleri sağlar.","Potansiyometre Raspberry Pico'nun 26 numaralı analog pinine bağlanır ve while döngüsü ile sürekli değer okunur."]},"beginTime":161,"endTime":334,"href":"/video/preview/4870481125443043924?parent-reqid=1774287871245876-633623927785422535-balancer-l7leveler-kubr-yp-vla-159-BAL&text=Pi93Productions&t=161&ask_summarization=1"},{"index":3,"title":"Kod Çalıştırma ve Sonuçlar","list":{"type":"unordered","items":["Kod çalıştırıldığında potansiyometreden gelen değer yaklaşık 22.000 civarında başlar ve maksimum 65.535 değerine ulaşabilir.","Potansiyometrenin en düşük direnç değerine getirildiğinde yaklaşık 600 civarında değer alınıp, hiçbir zaman sıfıra düşmez.","Kod değiştirilerek potansiyometrenin üzerinden geçen gerilim hesaplanabilir, bu hesaplama için dönüştürme faktörü kullanılır."]},"beginTime":334,"endTime":423,"href":"/video/preview/4870481125443043924?parent-reqid=1774287871245876-633623927785422535-balancer-l7leveler-kubr-yp-vla-159-BAL&text=Pi93Productions&t=334&ask_summarization=1"},{"index":4,"title":"Gerilim Hesaplama","list":{"type":"unordered","items":["Raspberry Pi Pico 3.3V veriyor ve maksimum 65.535 değeri 3.3V'e eşittir.","Dönüşüm faktörü hesaplanarak (3.3V / 65.535), potansiyometreden gelen değer ile çarpılarak anlık gerilim değeri bulunabilir.","Potansiyometre ayarlanırken gerilim değeri 0.20V'den 3.30V'ye kadar 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