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aralığı)."]},"beginTime":244,"endTime":327,"href":"/video/preview/3318324465498410206?parent-reqid=1769741692208216-4882416345290089884-balancer-l7leveler-kubr-yp-vla-75-BAL&text=Minimum481&t=244&ask_summarization=1"},{"index":5,"title":"Formülleri Görüntüleme ve Hızlı Bilgi","list":{"type":"unordered","items":["Minimum, maksimum ve ortalama değerleri hızlıca görmek için veri aralığını seçip durum çubuğunda bilgi gösterilebilir.","Sayım formülü sadece nümerik verileri sayar, metin verilerini saymaz.","Tüm formülleri görmek için formüller sekmesindeki \"formülleri göster\" seçeneği kullanılabilir."]},"beginTime":327,"endTime":402,"href":"/video/preview/3318324465498410206?parent-reqid=1769741692208216-4882416345290089884-balancer-l7leveler-kubr-yp-vla-75-BAL&text=Minimum481&t=327&ask_summarization=1"}],"linkTemplate":"/video/preview/3318324465498410206?parent-reqid=1769741692208216-4882416345290089884-balancer-l7leveler-kubr-yp-vla-75-BAL&text=Minimum481&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Minimum, Maksimum, Ortalama ve Bağlı Değer Say Formülleri (Temel Düzey Excel 2019 Dersleri 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fazlası için: http://www.khanacademy.org.tr Matematikten sanat tarihine, ekonomiden fen bilimlerine, basit toplamadan diferansiyel denklemlere, ilkokul seviyesinden üniversite seviyesine...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1572968/d7606ca44f1c6b9f8fa8d4d368d2e97a/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/OQBKVQAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"1","reqid":"1769741692208216-4882416345290089884-balancer-l7leveler-kubr-yp-vla-75-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769741692208216-4882416345290089884-balancer-l7leveler-kubr-yp-vla-75-BAL&text=videoid:2316750735976336943","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik eğitim içeriğidir. Konuşmacı, Khan Academy'nin alıştırmalarını kullanarak minimum ve maksimum noktaları bulma konusunu anlatmaktadır.","Videoda yerel minimum ve maksimum noktaları ile mutlak minimum ve maksimum noktaları arasındaki farklar açıklanmaktadır. Konuşmacı, grafiklerdeki noktaları inceleyerek hangi noktaların yerel minimum veya maksimum olduğunu, hangi noktaların ise mutlak minimum veya maksimum olduğunu göstermektedir. Ayrıca tanım kümesi kavramı da ele alınmakta ve köşeli parantez kullanımı ile tanım kümesindeki değerlerin dahil edilip edilmeyeceği açıklanmaktadır."]},"endTime":193,"title":"Matematik Dersinde Minimum ve Maksimum Noktaları Bulma","beginTime":0}],"fullResult":[{"index":0,"title":"Minimum ve Maksimum Kavramları","list":{"type":"unordered","items":["Bu videoda hem yerel hem de mutlak minimum ve maksimumlar nasıl bulunacağı gösterilecektir.","Minimum, tüm grafikteki en düşük nokta olmak zorunda değildir, sadece etrafındaki noktaların değerlerine göre daha düşük olması yeterlidir.","Maksimum, noktalarının çevrelerindeki noktalara göre daha yüksek değerler almaları gerekir."]},"beginTime":0,"endTime":13,"href":"/video/preview/2316750735976336943?parent-reqid=1769741692208216-4882416345290089884-balancer-l7leveler-kubr-yp-vla-75-BAL&text=Minimum481&t=0&ask_summarization=1"},{"index":1,"title":"Yerel Minimumlar","list":{"type":"unordered","items":["Grafikteki tüm yerel minimumlar işaretlenirken, her noktanın etrafındaki noktaların değerlerine göre daha düşük olması önemlidir.","Mutlak minimum olmasına rağmen çevresindeki noktalara göre daha düşük değer alan noktalar da yerel minimumdur.","Grafikte üç tane yerel minimum bulunmuştur."]},"beginTime":13,"endTime":74,"href":"/video/preview/2316750735976336943?parent-reqid=1769741692208216-4882416345290089884-balancer-l7leveler-kubr-yp-vla-75-BAL&text=Minimum481&t=13&ask_summarization=1"},{"index":2,"title":"Yerel Maksimumlar","list":{"type":"unordered","items":["Grafikteki tüm yerel maksimumlar işaretlenirken, her noktanın etrafındaki noktaların değerlerine göre daha yüksek olması önemlidir.","Dağların zirveleri yerel maksimum noktalarıdır.","Bir noktanın sağındaki noktaların değerlerine göre büyük olmasına rağmen solundaki noktaların değerlerine eşit olması durumunda yerel maksimum 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derste Maximal, Minimal, Maximum ve Minimum kavramları anlatılıp ve örnek ile açıklanmıştır. Kanalımızın instagram sayfası: https://www.instagram.com/meta_muhend... Anlatan Mehmet Zeki Sildir...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4080482/09a78431075488bfdd99fff23b63641f/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/7GF_QgIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"8","reqid":"1769741692208216-4882416345290089884-balancer-l7leveler-kubr-yp-vla-75-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769741692208216-4882416345290089884-balancer-l7leveler-kubr-yp-vla-75-BAL&text=videoid:8751964439510942790","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik öğretmeni tarafından sunulan soyut matematik dersinin bir bölümüdür. Öğretmen, öğrencilere hitap ederek sıralama bağıntısı konusunu adım adım açıklamaktadır.","Videoda sıralama bağıntısı ile ilgili kavramlar detaylı olarak ele alınmaktadır. Minimal ve maksimal elemanlar, maksimum ve minimum elemanlar kavramları tanımlanmakta ve çizgi diyagramları üzerinden örneklerle açıklanmaktadır. Ayrıca tam sıralı küme kavramı da incelenmekte ve verilen elemanlar (2, 3, 5, 10, 30, 60) üzerinden tam sıralı küme olup olmadığı gösterilmektedir.","Video, sıralama bağıntısı konusunun son dersi olup, bir sonraki derste fonksiyonlar konusuna geçileceği belirtilmektedir."]},"endTime":1674,"title":"Soyut Matematik Dersi: Sıralama Bağıntısı Kavramları","beginTime":0}],"fullResult":[{"index":0,"title":"Sıralama Bağıntısı Kavramları","list":{"type":"unordered","items":["Soyut matematik dersinde sıralama bağıntısı, kısmi sıralı küme, tam sıralı küme ve çizgi diyagram kavramları ele alınmıştır.","Bu derste maksimal, minimal, maksimum ve minimum elemanlar tanıtılacak ve örnekler çözülecektir."]},"beginTime":10,"endTime":44,"href":"/video/preview/8751964439510942790?parent-reqid=1769741692208216-4882416345290089884-balancer-l7leveler-kubr-yp-vla-75-BAL&text=Minimum481&t=10&ask_summarization=1"},{"index":1,"title":"Minimal ve Maksimal Eleman Tanımları","list":{"type":"unordered","items":["Minimal eleman, bir kümenin karşılaştırılabilir elemanlarının en küçüğüdür.","Maksimal eleman, bir kümenin karşılaştırılabilir elemanlarının en büyüğüdür.","Minimal ve maksimal elemanlar tek olmayabilir ve her bağıntıda bulunmaları gerekmez."]},"beginTime":44,"endTime":235,"href":"/video/preview/8751964439510942790?parent-reqid=1769741692208216-4882416345290089884-balancer-l7leveler-kubr-yp-vla-75-BAL&text=Minimum481&t=44&ask_summarization=1"},{"index":2,"title":"Örneklerle Minimal ve Maksimal Elemanlar","list":{"type":"unordered","items":["Çizgi diyagramlar kullanılarak minimal ve maksimal elemanlar belirlenir.","Boş küme, bir kümenin tüm elemanlarının alt kümesi olduğu için minimal elemandır.","Tam sıralı kümelere örnek olarak, küçük eşittir bağıntısına göre 1 minimal, 5 maksimal elemandır."]},"beginTime":235,"endTime":702,"href":"/video/preview/8751964439510942790?parent-reqid=1769741692208216-4882416345290089884-balancer-l7leveler-kubr-yp-vla-75-BAL&text=Minimum481&t=235&ask_summarization=1"},{"index":3,"title":"Maksimum ve Minimum Elemanlar","list":{"type":"unordered","items":["Maksimum ve minimum elemanlar, tüm kümenin en büyük ve en küçük elemanlarıdır.","Maksimal ve minimal elemanlar karşılaştırılabilir elemanların en büyüğü ve en küçüğü iken, maksimum ve minimum elemanlar tüm kümenin en büyüğü ve en küçüğüdür.","Çizgi diyagram örneğinde maksimum eleman tek olabilir, minimum eleman tek olmayabilir."]},"beginTime":702,"endTime":936,"href":"/video/preview/8751964439510942790?parent-reqid=1769741692208216-4882416345290089884-balancer-l7leveler-kubr-yp-vla-75-BAL&text=Minimum481&t=702&ask_summarization=1"},{"index":4,"title":"Örnek Soru","list":{"type":"unordered","items":["A kümesi {2, 3, 5, 10, 15, 30, 60} elemanlarına sahip ve bağıntı şartı x böler y şeklinde tanımlanmıştır.","Soruda A kümesinin maksimum, minimum, maksimal ve minimal elemanları bulunması istenmektedir."]},"beginTime":936,"endTime":1082,"href":"/video/preview/8751964439510942790?parent-reqid=1769741692208216-4882416345290089884-balancer-l7leveler-kubr-yp-vla-75-BAL&text=Minimum481&t=936&ask_summarization=1"},{"index":5,"title":"Beta Bağıntısının Elemanları","list":{"type":"unordered","items":["Beta bağıntısının elemanları x böler y şartına uyan ikililerdir.","Verilen örnekte yansıyan elemanlar (2,2), (5,5), (30,30), (60,60) gibi elemanlar bulunmaktadır.","Diğer elemanlar da (2,10), (2,30), (2,60), (3,30), (3,60), (5,10), (5,30), (5,60), (10,30), (10,60) şeklinde listelenmiştir."]},"beginTime":1084,"endTime":1185,"href":"/video/preview/8751964439510942790?parent-reqid=1769741692208216-4882416345290089884-balancer-l7leveler-kubr-yp-vla-75-BAL&text=Minimum481&t=1084&ask_summarization=1"},{"index":6,"title":"Tam Sıralı Küme Analizi","list":{"type":"unordered","items":["Tam sıralı küme için kümenin bütün elemanlarının karşılaştırılabilir olması gerekir.","Verilen örnekte 2-3 ikilisi beta bağıntısının elemanı olmadığı için bu küme tam sıralı değildir.","Çizgi diyagramda dallanma varsa küme tam sıralı değildir."]},"beginTime":1185,"endTime":1264,"href":"/video/preview/8751964439510942790?parent-reqid=1769741692208216-4882416345290089884-balancer-l7leveler-kubr-yp-vla-75-BAL&text=Minimum481&t=1185&ask_summarization=1"},{"index":7,"title":"Çizgi Diyagram Oluşturma","list":{"type":"unordered","items":["Çizgi diyagramda en alt tabakada 2, 3, 5 elemanları bulunur.","Ortadaki tabakada 10 ve 30 elemanları yer alır.","En üst tabakada 60 elemanı bulunur."]},"beginTime":1264,"endTime":1439,"href":"/video/preview/8751964439510942790?parent-reqid=1769741692208216-4882416345290089884-balancer-l7leveler-kubr-yp-vla-75-BAL&text=Minimum481&t=1264&ask_summarization=1"},{"index":8,"title":"Çizgi Diyagram 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gente, ¿Como están?, hoy les traigo la canción "Minimum" de Charlie Cunningham subtitulada al español. Gracias por ver el vídeo. Twitter : https://twitter.com/verafifa Canal Secundari...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3354549/07d1aa44679bf2cf0b27a46021e410df/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/-9n6QAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"17","reqid":"1769741692208216-4882416345290089884-balancer-l7leveler-kubr-yp-vla-75-BAL","isAdultDoc":false,"relatedParams":{"text":"Charlie Cunningham - Minimum (Sub Español + 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