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Yıllar sonra Almanya'da yeniden ortaya çıktığında, Nazi Partisi'nin fikir dünyasında etkili bir isimdi. Gizemli bir hayat...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2455229/96bbecd9599118fe40000380b8b7227a/564x318_1"},"target":"_self","position":"3","reqid":"1769437891045471-17344250689497123202-balancer-l7leveler-kubr-yp-klg-214-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Daz3HhxLbqUs","linkTemplate":"/video/preview/7773412737855448481?parent-reqid=1769437891045471-17344250689497123202-balancer-l7leveler-kubr-yp-klg-214-BAL&text=Baron+Method&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Nazilerin Öncüsü: Osmanlı’da Yetişen Gizemli Adam \"Baron Sebottendorf\"","related_orig_text":"Baron Method","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Baron Method\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=az3HhxLbqUs\",\"src\":\"serp\",\"rvb\":\"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_E6cLggQkAYAEKyqLARABGniB-AMIEAT7AO_6_Pn8AQEB4P4L__wBAQDr_AEFCgAAAPL9_PwJAAAA-fcS-_4AAAAA-_AO-P0AABoBA__6AAAACPkH-PMAAAD9Cvn2_wEAAAMAAPsD_wAACxUB8_8AAAD__wr4AwAAAAUJBAQAAAAABeIB_wEAAAAgAC3zHMc7OBNACUhOUAIqcxAAGmAZ_AAq9vDV1aLjwt3uAhnp7tw2_6q4_z7pAJMT1sEdF8u5wCEAOA3-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-AAAwvQAAzr4AANi9AAAwvQAAML0AAKg9AAA0PgAAJD4AADS-AAA0vgAAUL0AAIC7AAAsPgAAuD0AAH8_AAC4PQAAqD0AABA9AAAwPQAA2L0AAJi9AAAQvQAAUD0AABw-AAAwPQAAcD0AAIC7AACAuwAAMD0AAIi9AACYPQAAJL4AAIa-AAC4vQAAgDsAACQ-AAAkPgAA-L0AAJg9AACavgAAED0AAMg9AACIvQAAFL4AABQ-AACgvAAAPD4AAHC9AABQvQAAgDsAAKY-AACgPAAAQDwAAKg9AAAwvQAA4DwAAFA9AAA0viAAOBNACUh8UAEqjwIQARqAAgAAyL0AAEA8AABAvAAAO78AANi9AAAUPgAA2L0AAEQ-AACmvgAAFD4AAJg9AABsvgAARD4AADy-AAAwPQAAcL0AAKC8AAA7PwAAuL0AAPg9AACAOwAADD4AAAw-AAAEvgAAoDwAADC9AADgvAAA6D0AABA9AABUvgAAED0AAFA9AAAcvgAAJL4AAOi9AAD4vQAAUL0AAII-AAAkvgAARL4AAKi9AAAsvgAAPL4AAKi9AABAPAAAyL0AAH-_AAD4PQAAMD0AAAw-AABQPQAAoLwAAHC9AACqPgAA6L0AAEA8AACAuwAAzj4AAKA8AACovQAAuD0AAAy-AACOPgAAHL4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=az3HhxLbqUs","parent-reqid":"1769437891045471-17344250689497123202-balancer-l7leveler-kubr-yp-klg-214-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["7773412737855448481"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"13021646941069453701":{"videoId":"13021646941069453701","docid":"34-6-9-Z6BFA7EBEAC6027EB","description":"BUders üniversite matematiği derslerinden Sayısal Analiz dersine ait \"Newton Raphson Metodu (Newton Raphson Method)\" videosudur. Hazırlayan: Kemal Duran (Matematik Öğretmeni)...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/222140/bada03e826a2946215c69c560bde6d03/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/URJkLQAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"5","reqid":"1769437891045471-17344250689497123202-balancer-l7leveler-kubr-yp-klg-214-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769437891045471-17344250689497123202-balancer-l7leveler-kubr-yp-klg-214-BAL&text=videoid:13021646941069453701","teaser":[{"list":{"type":"unordered","items":["Bu video, bir eğitmen tarafından sunulan sayısal analiz dersinde kullanılan Newton-Raphson metodunu anlatan eğitim içeriğidir.","Video, Newton-Raphson metodunun temel prensiplerini, formülünün türetilmesini ve uygulamalarını detaylı şekilde açıklamaktadır. Eğitmen önce metodun genel özelliklerini anlatıp, ardından bir denklemin fonksiyon haline getirilmesi, türevinin alınması, başlangıç noktası seçimi ve iterasyon adımları gibi uygulamalı süreçleri göstermektedir.","Videoda ayrıca Newton-Raphson metodunun kapalı ve açık aralık metotlarıyla karşılaştırması, durma koşullarının nasıl kontrol edileceği ve gerçek kök verilip verilmediği durumları da ele alınmaktadır. Eğitmen, bir sonraki videolarda gerçek kök verilen ve verilmeyen Newton-Raphson metodu örneklerinin tam olarak çözüleceğini belirtmektedir."]},"endTime":2220,"title":"Newton-Raphson Metodu Eğitim Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"Newton-Raphson Metodu Tanıtımı","list":{"type":"unordered","items":["Newton-Raphson metodu, sayısal analiz dersinin en önemli yöntemlerinden biridir.","Bu videoda metodu hangi durumlarda ve ne amaçla kullanıldığı, özellikleri ve bir örnek çözümü incelenecektir."]},"beginTime":1,"endTime":28,"href":"/video/preview/13021646941069453701?parent-reqid=1769437891045471-17344250689497123202-balancer-l7leveler-kubr-yp-klg-214-BAL&text=Baron+Method&t=1&ask_summarization=1"},{"index":1,"title":"Newton-Raphson Metodunun Kullanım Alanları","list":{"type":"unordered","items":["Newton-Raphson metodu, lineer olmayan ve analitik çözüme sahip olmayan bir bilinmeyenli denklemlerin bir aralık içindeki kökünü bulmaya kullanılır.","Bu metot, ikiye bölme metodu ve doğrusal interpolasyon metodu gibi aynı hedefe yönelik yöntemlerden farklı olarak açık aralık bir metottur.","İkiye bölme ve doğrusal interpolasyon metotları kapalı aralık metotlardır, yani aralık dışına çıkmazlar, ancak Newton-Raphson metodu aralık dışına çıkabilir."]},"beginTime":28,"endTime":326,"href":"/video/preview/13021646941069453701?parent-reqid=1769437891045471-17344250689497123202-balancer-l7leveler-kubr-yp-klg-214-BAL&text=Baron+Method&t=28&ask_summarization=1"},{"index":2,"title":"Metotların Karşılaştırılması","list":{"type":"unordered","items":["İkiye bölme metodu köke doğru ilerlemede en yavaş yöntemdir.","Doğrusal interpolasyon metodu ikiye bölme metodundan daha hızlıdır.","Newton-Raphson metodu, bir bilinmeyenli, lineer olmayan ve analitik çözüme sahip olmayan denklemlerde köke yaklaşmadaki en hızlı ve güçlü yöntemdir."]},"beginTime":326,"endTime":458,"href":"/video/preview/13021646941069453701?parent-reqid=1769437891045471-17344250689497123202-balancer-l7leveler-kubr-yp-klg-214-BAL&text=Baron+Method&t=326&ask_summarization=1"},{"index":3,"title":"Newton-Raphson Metodunun Çalışma Prensibi","list":{"type":"unordered","items":["Newton-Raphson metodunda, denklem f(x)=0 şeklinde yazılır ve bir başlangıç noktası seçilir.","Başlangıç noktasından teğet çizilir ve bu teğet doğrunun x eksenini kestiği nokta bir sonraki kök adayı olarak belirlenir.","Formül: x_(n+1) = x_n - f(x_n)/f'(x_n) şeklindedir."]},"beginTime":458,"endTime":980,"href":"/video/preview/13021646941069453701?parent-reqid=1769437891045471-17344250689497123202-balancer-l7leveler-kubr-yp-klg-214-BAL&text=Baron+Method&t=458&ask_summarization=1"},{"index":4,"title":"Newton-Raphson Metodunun Uygulanması","list":{"type":"unordered","items":["Örnek soruda x³ - 7x² + 14x - 6 denkleminin kökü bulunması isteniyor.","Soruda hangi metot kullanılacağı belirtilmezse, Newton-Raphson metodu diğer metotlarla kıyaslandığında daha hızlı ve etkili olduğu için tercih edilir.","Soruda tolerans değeri 10⁻⁶ olarak belirtilmiştir."]},"beginTime":980,"endTime":1126,"href":"/video/preview/13021646941069453701?parent-reqid=1769437891045471-17344250689497123202-balancer-l7leveler-kubr-yp-klg-214-BAL&text=Baron+Method&t=980&ask_summarization=1"},{"index":5,"title":"Newton-Raphson Metodu ve Fonksiyon Hazırlığı","list":{"type":"unordered","items":["Denklem fonksiyon haline getirilerek f(x) = x³ - 7x² + 14x - 6 şeklinde yazılır.","Fonksiyonun türevi f'(x) = 3x² - 14x + 14 olarak hesaplanır.","Newton-Raphson metodunda başlangıç noktası, aralığın alt sınırı seçilmesi önerilir çünkü köke doğru ilerlemek daha sağlıklıdır."]},"beginTime":1130,"endTime":1229,"href":"/video/preview/13021646941069453701?parent-reqid=1769437891045471-17344250689497123202-balancer-l7leveler-kubr-yp-klg-214-BAL&text=Baron+Method&t=1130&ask_summarization=1"},{"index":6,"title":"Başlangıç Noktası ve İterasyon","list":{"type":"unordered","items":["Başlangıç noktası olarak x = 0 seçilir ve ilk kök adayı olarak hesaplanır.","İkinci adımda x₁ = x₀ - f(x₀)/f'(x₀) formülü kullanılarak kök adayı hesaplanır.","Hesaplamada f(0) = -6 ve f'(0) = 14 değerleri kullanılarak kök adayı bulunur."]},"beginTime":1229,"endTime":1414,"href":"/video/preview/13021646941069453701?parent-reqid=1769437891045471-17344250689497123202-balancer-l7leveler-kubr-yp-klg-214-BAL&text=Baron+Method&t=1229&ask_summarization=1"},{"index":7,"title":"Durma Koşulları","list":{"type":"unordered","items":["Durma koşulları, gerçek kök verilirse |p - x| \u003c tolerans veya gerçek kök verilmezse |xₙ₊₁ - xₙ| \u003c tolerans şeklinde olur.","Soruda gerçek kök verilmemiş olduğu için |xₙ₊₁ - xₙ| \u003c 10⁻⁶ koşulu kontrol edilir.","İlk iterasyonda |x₁ - x₀| = 0,42 hesaplanır ve bu değer 10⁻⁶'dan büyük olduğu için iterasyon devam etmek zorundadır."]},"beginTime":1414,"endTime":1756,"href":"/video/preview/13021646941069453701?parent-reqid=1769437891045471-17344250689497123202-balancer-l7leveler-kubr-yp-klg-214-BAL&text=Baron+Method&t=1414&ask_summarization=1"},{"index":8,"title":"Newton-Raphson Yönteminin İterasyonu","list":{"type":"unordered","items":["Newton-Raphson yönteminde n=1 iterasyonunda x₂ kökünü bulmak için formül x₁ - f(x₁)/f'(x₁) kullanılır.","Hesap makinesi ile yorucu işlemler yapılarak f(x₁) ve f'(x₁) değerleri hesaplanır.","İkinci kök adayı x₂ bulunduktan sonra, x₂ ile x₁ arasındaki farkın 10⁻⁶'dan küçük olup olmadığı kontrol edilir."]},"beginTime":1760,"endTime":2011,"href":"/video/preview/13021646941069453701?parent-reqid=1769437891045471-17344250689497123202-balancer-l7leveler-kubr-yp-klg-214-BAL&text=Baron+Method&t=1760&ask_summarization=1"},{"index":9,"title":"İterasyonun Devamı ve Durma Koşulu","list":{"type":"unordered","items":["x₂ ile x₁ arasındaki fark 10⁻⁶'dan büyük olduğundan iterasyon devam eder ve n=2 iterasyonunda x₃ kök adayı bulunur.","Sınavlarda genellikle en az 5-6 iterasyon yapılmaktadır.","Newton-Raphson yönteminin durma koşulu, iki ardıl kök adayının farkının 10⁻⁶'dan küçük olmasıdır."]},"beginTime":2011,"endTime":2095,"href":"/video/preview/13021646941069453701?parent-reqid=1769437891045471-17344250689497123202-balancer-l7leveler-kubr-yp-klg-214-BAL&text=Baron+Method&t=2011&ask_summarization=1"},{"index":10,"title":"Newton-Raphson Yönteminin Özeti","list":{"type":"unordered","items":["Newton-Raphson açık aralık bir metottur, kök bulma işlemi zaman zaman aralığın dışına sapabilir.","Yöntem, iki bilinmeyenli olmayan, lineer olmayan ve analitik çözüme sahip olmayan denklemlerde kullanılır.","Yöntemin temel fikri, aralık içindeki fonksiyona teğet doğrular çizmek ve bu doğruların x eksenini kestiği noktaları bir sonraki kök adayı olarak belirlemektir."]},"beginTime":2095,"endTime":2172,"href":"/video/preview/13021646941069453701?parent-reqid=1769437891045471-17344250689497123202-balancer-l7leveler-kubr-yp-klg-214-BAL&text=Baron+Method&t=2095&ask_summarization=1"},{"index":11,"title":"Başlangıç Noktası ve Durma Koşulları","list":{"type":"unordered","items":["Soruda başlangıç noktası verilmemişse aralığın alt sınırı kullanılabilir, sürekli uzaklaşmaya neden olursa üst sınır kullanılabilir.","Gerçek kök verilmişse ve verilmemişse durma koşulları farklılık gösterir.","Gelecek videolarda gerçek kök verilen ve verilmeyen örnekler baştan sona 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