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It was from the 2019 International Mathematical Olympiad IMO (International Mathematical Olympiad UMO). There are much better geometry and...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/218482/53136696bca566aa001bcde213c87229/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/bg1Q0wEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"18","reqid":"1769439831657983-1150465157882495092-balancer-l7leveler-kubr-yp-klg-22-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769439831657983-1150465157882495092-balancer-l7leveler-kubr-yp-klg-22-BAL&text=videoid:18274163516966304401","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik eğitmeni tarafından sunulan eğitim içeriğidir. Eğitmen, Azerbaycan'dan bir hoca tarafından kendisine ulaştırılan 2019 International Math Olympiad (IMO) sorularını çözmektedir.","Videoda, 2019 IMO'nun Almanya sorusu detaylı olarak çözülmektedir. Soru, cebir (algebra) kategorisinde yer almakta ve toplam 2019 reel sayıdan oluşan bir kümenin özellikleri üzerine odaklanmaktadır. Eğitmen, toplam sembolü, mutlak değer, pozitif-negatif sayılar arasındaki sıralama bağıntısı gibi matematiksel kavramları kullanarak soruyu adım adım çözmektedir.","Video, lise seviyesindeki öğrencilerin de yorum yapabileceği düzeyde sorular içermekte ve bazı soruların zihin yapısını değiştirebilecek zorlayıcı sorular olduğu belirtilmektedir. Ayrıca, Alman matematik kitaplarındaki detaylı ispat yaklaşımı örnek gösterilmekte ve toplamları sıfır olan üç farklı durum incelenmektedir."]},"endTime":1249,"title":"2019 International Math Olympiad (IMO) Almanya Sorusu Çözümü","beginTime":0}],"fullResult":[{"index":0,"title":"2019 International Math Olimpiyat Soruları","list":{"type":"unordered","items":["Konuşmacı, Azerbaycan'da bulunan bir hocadan aldığı 2019 International Math Olimpiyat (IMO) sorularını çözeceğini belirtiyor.","Dosyada İngilizce sorular bulunuyor ve bazıları lise bilgisiyle çözülebilecek, bazıları ise daha fazla bilgi gerektiren sorular mevcut.","Konuşmacı, 2019'un Almanya sorusunu çözeceğini ve bu sorunun Alman matematiğine yakışır, sağlam bir soru olduğunu belirtiyor."]},"beginTime":0,"endTime":111,"href":"/video/preview/18274163516966304401?parent-reqid=1769439831657983-1150465157882495092-balancer-l7leveler-kubr-yp-klg-22-BAL&text=New+Math+Records&t=0&ask_summarization=1"},{"index":1,"title":"Soru İçeriği ve İlk Yorumlar","list":{"type":"unordered","items":["Soruda u₁, u₂, ..., u₂₁₉ reel sayılar kümesi ve u₁ + u₂ + ... + u₂₁₉ = 0 şeklinde bir eşitlik veriliyor.","u₁² + u₂² + ... + u₂₁₉ = 1 eşitliği, tüm u₁, u₂, ..., u₂₁₉'lerin 1 olamayacağını gösteriyor.","a minimum, u₁, u₂, ..., u₂₁₉'lerin en küçük değeri; b maksimum ise tüm değerlerin en büyük değeri olarak tanımlanıyor."]},"beginTime":111,"endTime":265,"href":"/video/preview/18274163516966304401?parent-reqid=1769439831657983-1150465157882495092-balancer-l7leveler-kubr-yp-klg-22-BAL&text=New+Math+Records&t=111&ask_summarization=1"},{"index":2,"title":"Sorunun Çözümü","list":{"type":"unordered","items":["Konuşmacı, a ve b'nin çarpımının -1/2019'dan küçük olduğunu kanıtlamaya çalışacağını belirtiyor.","Toplam sembolü kullanılarak u₁ + u₂ + ... + u₂₁₉ = 0 şeklinde bir ifade oluşturuluyor.","Pozitif ve negatif değerlerin kümeleri tanımlanarak, pozitif ve negatif değerlerin toplamının 2019 olduğunu 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