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Bölgenin yemyeşil doğası ile geleneksel lezzetlerini keşfediyor, bölge halkı ile birlikte köyün zorlu ama....","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2746243/f8d1057fc9b37ff1ede526c57383a1e2/564x318_1"},"target":"_self","position":"1","reqid":"1765290958548404-5403617154881122946-balancer-l7leveler-kubr-yp-sas-79-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1765290958548404-5403617154881122946-balancer-l7leveler-kubr-yp-sas-79-BAL&text=videoid:14698807511858422884","teaser":[{"list":{"type":"unordered","items":["Bu video, Kıvanç adlı bir kişinin Amasya Kaleköy'de şehirden köye taşınma deneyimini anlatan bir belgesel formatındadır. Videoda Hayati abi, Yakup usta, Arif abi (69 yıllık su değirmeni sahibi), Tayfun, Turan, Naime, Hale ve diğer köy sakinleri yer almaktadır.","Video, Kıvanç'ın şehirden köye taşınma kararını almasıyla başlayıp, köydeki günlük yaşamı, tarım faaliyetlerini ve sosyal etkinlikleri göstermektedir. İçerikte süt toplama, ahır temizliği, hayvan bakımı, yonca biçme, modern tarım uygulamaları, çatı tamiri ve su değirmeni ziyareti gibi köy yaşamının farklı yönleri anlatılmaktadır.","Videoda ayrıca köy sakinlerinin modern tarıma geçiş süreci, bohça dolması yapma, kavak kesme ve çatı tamiri gibi pratik işler gösterilmektedir. Son bölümde ise Arif abi'nin su değirmenini ziyaret edip un öğütme, çay içme ve bir simsi oyunu etkinliği yer almaktadır. Video, Kaleköy'ün geçmiş ile geleceğin kesişim noktası olduğu ve değişime ayak uyduran bir yer olduğu bilgisiyle sona erer."]},"endTime":3535,"title":"Şehirden Köye Taşınma ve Köy Hayatı Belgeseli","beginTime":0}],"fullResult":[{"index":0,"title":"Şehirden Kaçış Hayali","list":{"type":"unordered","items":["Bir zamanlar şehirde yaşamak en büyük hayaldi, ancak bu hayal trafik, kalabalık, yalnızlık, stres ve sıradan ilişkiler gibi sorunlarla geldi.","Kıvanç, ailesini şehirden uzakta bir hayat kurmaya ikna etmek için Amasya Kaleköy'de bir gün geçirmeye karar verdi.","Kaleköy, yeşilin tonlarıyla doğanın coşkusu ve tarihin izlerini gizleyen bir yerdir."]},"beginTime":2,"endTime":76,"href":"/video/preview/14698807511858422884?parent-reqid=1765290958548404-5403617154881122946-balancer-l7leveler-kubr-yp-sas-79-BAL&text=IX+TrT&t=2&ask_summarization=1"},{"index":1,"title":"Ahır İşleri","list":{"type":"unordered","items":["Köy ahalisi güne çoktan başlamış, Kıvanç da Hayati abi ve ailesiyle süt toplama işine katıldı.","Ahırın çatısı kışın çok kar yağması nedeniyle tamir edilmeyi bekliyordu.","Sabah rutinlerinde hayvanların temizlenmesi, yemlenmesi ve süt verilmesi gerekiyordu."]},"beginTime":76,"endTime":164,"href":"/video/preview/14698807511858422884?parent-reqid=1765290958548404-5403617154881122946-balancer-l7leveler-kubr-yp-sas-79-BAL&text=IX+TrT&t=76&ask_summarization=1"},{"index":2,"title":"Hayvanların Bakımı","list":{"type":"unordered","items":["Hayvanların isimleri vardı ve her sabah ahırın temizlenmesi gerekiyordu.","Hayvanların yemlenmesi için saman ve su karışımı hazırlanıyordu.","Hayvanlar ahırdan dışarı çıkarken heyecanlanıyor ve ortalığı karıştırıyordu."]},"beginTime":164,"endTime":436,"href":"/video/preview/14698807511858422884?parent-reqid=1765290958548404-5403617154881122946-balancer-l7leveler-kubr-yp-sas-79-BAL&text=IX+TrT&t=164&ask_summarization=1"},{"index":3,"title":"Hayvan Satışı","list":{"type":"unordered","items":["Hayvan avcısı geldi ve Doruk adlı 750 kiloluk boğayı satın almak istedi.","Pazarlık sonucunda 40 bin lira fiyatla hayvan satıldı.","Kış boyunca ahırdan hiç dışarı çıkmamış olan Doruk, yeni sahibine emanet edildi."]},"beginTime":436,"endTime":716,"href":"/video/preview/14698807511858422884?parent-reqid=1765290958548404-5403617154881122946-balancer-l7leveler-kubr-yp-sas-79-BAL&text=IX+TrT&t=436&ask_summarization=1"},{"index":4,"title":"Kahvaltı","list":{"type":"unordered","items":["Hayvanlar dışarı çıkarıldıktan sonra Kıvanç ve Hayati abi kahvaltıya gittiler.","Kahvaltıda semaver dolusu çay içtiler.","Hayvanların içeride kaldığı için delirdiği ve hırpalandığı belirtildi."]},"beginTime":716,"endTime":783,"href":"/video/preview/14698807511858422884?parent-reqid=1765290958548404-5403617154881122946-balancer-l7leveler-kubr-yp-sas-79-BAL&text=IX+TrT&t=716&ask_summarization=1"},{"index":5,"title":"Çay Kültürü ve İnşaat İşleri","list":{"type":"unordered","items":["Konuşmacılar kuşburnu yiyor ve inşaat işlerine başlıyorlar.","Konuşmacılardan biri yönetmenlik hayali olduğunu ve film yapmak istediğini belirtiyor.","Çay kültürü hakkında konuşuyorlar; Türkiye'de çay demlikte değil semaverde içildiğini öğreniyorlar."]},"beginTime":787,"endTime":982,"href":"/video/preview/14698807511858422884?parent-reqid=1765290958548404-5403617154881122946-balancer-l7leveler-kubr-yp-sas-79-BAL&text=IX+TrT&t=787&ask_summarization=1"},{"index":6,"title":"İnşaat Planları","list":{"type":"unordered","items":["Yakup usta ile buluşup inşaat planlarını konuşuyorlar.","Göçmüş kiremitlerin kaldırılması ve kolondan itibaren komple değişiklik yapılması gerektiği belirtiliyor.","İnşaat için beş-altı kişi ekip olarak yeterli olacak ve gerekli malzemeler temin edilecek."]},"beginTime":982,"endTime":1118,"href":"/video/preview/14698807511858422884?parent-reqid=1765290958548404-5403617154881122946-balancer-l7leveler-kubr-yp-sas-79-BAL&text=IX+TrT&t=982&ask_summarization=1"},{"index":7,"title":"Yonca Tarlası 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binerek ot biçmeye başlamış, bu sayede ekip rahatlamış.","Ekip, kavakları kesmek için uygun olanları seçmiş ve küçük motorla açma işlemi yapmış."]},"beginTime":1524,"endTime":1730,"href":"/video/preview/14698807511858422884?parent-reqid=1765290958548404-5403617154881122946-balancer-l7leveler-kubr-yp-sas-79-BAL&text=IX+TrT&t=1524&ask_summarization=1"},{"index":11,"title":"Bohça Dolması Yapımı","list":{"type":"unordered","items":["Ekip, kavakları hızarhaneye götürmeyi planlamış ve Naime abla ile Hale ile birlikte bohça dolması yapmaya gitmiş.","Bohça dolması için yaprak, mercimek, kırmızı mercimek, nane, soğan ve patates kullanılmış.","Bohçaları yaparken yaprakların tersini çevirmeleri gerektiğini hatırlatmışlar."]},"beginTime":1730,"endTime":1953,"href":"/video/preview/14698807511858422884?parent-reqid=1765290958548404-5403617154881122946-balancer-l7leveler-kubr-yp-sas-79-BAL&text=IX+TrT&t=1730&ask_summarization=1"},{"index":12,"title":"Yarınki 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Abone olmak için ➤...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/759915/b91ae68c5a4d0bc5d4099a8c0f370083/564x318_1"},"target":"_self","position":"6","reqid":"1765290958548404-5403617154881122946-balancer-l7leveler-kubr-yp-sas-79-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DAkPjHCeQ3io","linkTemplate":"/video/preview/1362413285248862904?parent-reqid=1765290958548404-5403617154881122946-balancer-l7leveler-kubr-yp-sas-79-BAL&text=IX+TrT&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"TRT Haber Canlı Yayını","related_orig_text":"IX TrT","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"IX TrT\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=AkPjHCeQ3io\",\"src\":\"serp\",\"rvb\":\"Eq0DChM3MDg3NzA2NDUzNzg1Mjc5MjI5ChQxNDY5ODgwNzUxMTg1ODQyMjg4NAoUMTUxNDIzMDY3MTY5NjI4NjY3ODUKEzM0NjI4NDM2NTQyOTQxMzExMjAKEzIyNTQyMDMzMTc1ODU5OTkyNjIKEzEzNjI0MTMyODUyNDg4NjI5MDQKFDE2NDU3NDY1ODM4NDkzNzEyODM5ChM0MDgxMjA1ODA5OTI0MjE4Njk0ChQxNzY0NjY2OTI4MDEzNzU4MTMzNQoTNDE1NzQ0OTcwMTgyNDk3NjM4OAoTNzY0ODg5MjUyNDk3MDg5MjIzMwoUMTI3NjgzNjE3ODU0ODcyMjE3MTUKEzE0MjcyMzY2NDI5MzQ2MzE4MjcKEzU5MDcxNTQ3Nzk0NjMyMzk1NjkKEzQ4NjAzNDkwNDI4MzgyNTc3MDgKFDEyNjIwMTE1OTc2NDAzNjE5NzEzChM3NTg5NjExODY1MjExMTU3ODE5ChQxNDY3NTg2OTc0NTE1Mzg0ODY1OQoUMTU3Mjk3MDY0ODkwODY5MzkwNDMKFDE2NDc1NzA4MTM2NTQxOTgwODEyGhUKEzEzNjI0MTMyODUyNDg4NjI5MDRaEzEzNjI0MTMyODUyNDg4NjI5MDRqsQ0SATAYACJHGjEACipoaGx5dGxrcnRobmFzb2diaGhVQ0JnVFAyTE9GVlBtcTE1Vy1SSC1XWEESAgASKhLCDw8aDz8T0uKRAYIEJAGABCsqiwEQARp4gfgAAgYB_wDu-vsKCwT9APgABQr5_f0A9AYC_wgC_wDnBfoHCf8AAP0FCAr5AAAAAfYBBfX9AQANBvUDBAAAAAbqBPn-AQAA8gLwBAABAAD9APcHA_8AAAL9DxAAAAAABQfzAgAAAAAL__YPAAAAAPTpB_MAAAAAIAAt9AnQOzgTQAlITlACKnMQABpg9QoAKA_8EwL43eIBEA3mB9ASEQevBQD84wDIDwb1IgTC0BwZAFnx_wW9AAAAESQe8iQAGFwD9vb27nD049kMAyh_IA4I4O8Q-CQA8eodExe4CS4WACISzwwt6O9DOB4RIAAt4q09OzgTQAlIb1ACKq8GEAwaoAYAAIBAAADowQAAAMIAAFDBAAB8wgAAuEEAAFBBAABsQgAAgEEAAHDBAADAwAAAAMIAAJrCAACGwgAAAEEAABzCAAAQQQAAQMEAAMDAAAAQwQAAmkIAACTCAAAYQgAApMIAAKBAAADgQAAAiMIAAABBAADwQQAAlEIAALhBAACAPwAAgsIAAJDBAABwwQAAkMEAAIA_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-MEAAChCAADIwQAAGEIAAAhCAAAkQgAAmEEAAFBBAACgQAAA4EEAAGBBAABwwQAAoMAAAJrCAACcQgAA4EAAAKDAAACWwgAAdEIAAGRCAADYwQAACEIAAADBAACIwQAAgMAAAEDCAACAQgAAYEEAAEhCAAA8QgAA7MIAAJDBAADAwAAAgL8AABDCAABwQQAA4MAAABTCAABQQQAAnkIAADTCAACAQAAAiMEAAI7CAADYQQAAiMEAAETCAACqQgAA6MEAAFDBAAAgQQAAkMEAAEDBAAAYQgAAwMEAANhBAAAQQQAAmMEAAMjBAAC4wSAAOBNACUh1UAEqjwIQABqAAgAAbD4AANK-AAA1vwAAfD4AAI4-AACiPgAAVL4AAKK-AABUPgAAPL4AAJ4-AABAPAAAUD0AABy-AACoPQAAJD4AADw-AABUPgAArj4AANY-AAAPPwAA-D0AABE_AADmvgAAwr4AAHS-AAAwvQAAEL0AADQ-AADCPgAAQz8AAK4-AAAwvQAAyL0AADC9AACiPgAABL4AAMa-AABPvwAADD4AAP4-AAAJvwAAML0AAEA8AACIPQAAFD4AAOa-AACOvgAAgr4AAA2_AACyvgAAZL4AAHA9AAAQPQAAfz8AAJ4-AAA7PwAAlr4AACw-AAAkvgAAJD4AAP6-AACCvgAAZL4gADgTQAlIfFABKo8CEAEagAIAADQ-AAC4PQAAbL4AAHu_AABUvgAAHL4AADw-AABEvgAAqL0AABC9AACiPgAAVL4AAOC8AADSvgAAcD0AAOC8AABMvgAAvj4AAAS-AAC4PQAAqj4AAKA8AABUvgAAUD0AAIi9AACAuwAAbL4AABA9AADYvQAA2L0AACQ-AAAUvgAAJD4AAJI-AADIvQAAcL0AALi9AADCvgAAnr4AAHC9AAAQPQAAuD0AAKg9AABMPgAAjr4AALg9AAB_vwAAsj4AADA9AACGvgAArr4AANg9AAAUPgAAqD0AAO6-AAA8PgAA2L0AAHQ-AAB8PgAAnr4AAJK-AAAMvgAABL4AAJI-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=AkPjHCeQ3io","parent-reqid":"1765290958548404-5403617154881122946-balancer-l7leveler-kubr-yp-sas-79-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":480,"cheight":360,"cratio":1.33333,"dups":["1362413285248862904"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false},"16457465838493712839":{"videoId":"16457465838493712839","docid":"34-9-13-Z835339B1D0119611","description":"Kronovizör’ün bu bölümünde, matematik biliminin tarihine tanık oluyoruz. Tüm bu soruların cevabı için Kronovizör’ün kadrajından Taş Devri’ne dönüyor, insanlıkla yaşıt olan bu bilimin keşfine ve...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/880825/1b157059c6859424f8c2e9a822359fc4/564x318_1"},"target":"_self","position":"7","reqid":"1765290958548404-5403617154881122946-balancer-l7leveler-kubr-yp-sas-79-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1765290958548404-5403617154881122946-balancer-l7leveler-kubr-yp-sas-79-BAL&text=videoid:16457465838493712839","teaser":[{"list":{"type":"unordered","items":["Bu video, Ian Stewart'ın matematik biliminin tarihini ve önemini anlattığı eğitici bir içeriktir. Kronovizör adı verilen bir cihaz üzerinden matematik biliminin gelişimi kronolojik olarak gösterilmektedir.","Video, matematiğin 42 bin yıl önce Güney Afrika'da keşfedilen ilk sayılardan başlayarak, Sümerlerin yazıyı icat etmesi, Babil'in altmışlık sayı sistemi, Pisagor'un üçgeni, Öklid'in geometri sistemi, Pascal'ın binom açılımı ve Newton'un çalışmaları gibi önemli matematiksel keşifleri anlatmaktadır. Ayrıca fonksiyonlar, türev, integral ve pi sayısı gibi temel matematik kavramları da açıklanmaktadır.","Video, matematiğin günlük hayattaki ve teknolojik gelişimdeki rolünü vurgulayarak, 15 bin yıl önce avı bölüşmek için soyut düşünmeyi öğrenmemizin günümüzde uzay uçuşları, robot üretimi ve internet kullanımı gibi birçok alanda ilerlememizi sağladığını göstermektedir. Matematiğin mühendislik, kriptoloji ve yapay zeka gibi alanlardaki uygulamaları da ele alınmaktadır."]},"endTime":1853,"title":"Matematik Biliminin Tarihi ve Önemi","beginTime":0}],"fullResult":[{"index":0,"title":"Matematik Biliminin Tarihi","list":{"type":"unordered","items":["Her bilimsel disiplin bir keşiftir ve matematik bilimi hayatın birçok alanında bulunur.","Matematik biliminin tarihini anlamak için kronovizör gibi bir cihaz kullanarak geçmişe bakmak gerekiyor.","Kronovizör, zamanda yolculuk yapıp geçmişi görüntüleyen bir makine olarak tarihin en büyük efsanelerinden biri olarak kaldı."]},"beginTime":11,"endTime":136,"href":"/video/preview/16457465838493712839?parent-reqid=1765290958548404-5403617154881122946-balancer-l7leveler-kubr-yp-sas-79-BAL&text=IX+TrT&t=11&ask_summarization=1"},{"index":1,"title":"Matematik Biliminin Doğuşu","list":{"type":"unordered","items":["1637'de Amsterdam'da 41 yaşındaki Fransız filozof Rene Descartes, kartezyen koordinat sistemini açıkladı ve analitik geometrinin doğuşunu sağladı.","Matematik, doğanın insanlar tarafından üretilmiş yapay dilidir ve herkes bu dili konuşabilir.","Matematik bilgisi ilk olarak sayma ile başlar ve 42 bin yıl önce Güney Afrika'da bir babu'nun kaval kemiğine işlenmiş çizgiler tarihin ilk sayıları ve takvimi kabul edilir."]},"beginTime":136,"endTime":220,"href":"/video/preview/16457465838493712839?parent-reqid=1765290958548404-5403617154881122946-balancer-l7leveler-kubr-yp-sas-79-BAL&text=IX+TrT&t=136&ask_summarization=1"},{"index":2,"title":"Sayıların Gelişimi","list":{"type":"unordered","items":["Saymak en ilkel yeteneklerimizden biridir ve sayılar gerçekliğin soyut temsilleridir.","Sayılardan önce insanlar takas yaparken her bir koyun için bir taş verirdi, daha sonra sayıları icat edip bu temsilleri soyutlaştırdılar.","15 bin yıl önce bilinen ilk sayılar ortaya çıkar ve insanlık önce asal sayıları, sonra doğal sayıları 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Geometri","list":{"type":"unordered","items":["Antik Yunan'ın ünlü düşünürü Pisagor, üçgeni ile matematiksel bir anlayış geliştirdi: x² + y² = z² formülü.","Geometri, \"yer ölçümü\" anlamına gelir ve mesafeleri, açıları hesaplamak ve şekiller üzerindeki ilişkileri analiz etmek için kullanılır.","Matematik, geometri ve cebir olmak üzere iki alandan oluşur."]},"beginTime":369,"endTime":486,"href":"/video/preview/16457465838493712839?parent-reqid=1765290958548404-5403617154881122946-balancer-l7leveler-kubr-yp-sas-79-BAL&text=IX+TrT&t=369&ask_summarization=1"},{"index":5,"title":"Cebir ve Matematiksel Yöntemler","list":{"type":"unordered","items":["Yunan matematikçi Diofantos, \"Aritmetika\" kitabıyla cebrin temellerini atar ve analiz yönteminde geometrik biçimlerin sayısal ifadelerini formüle eder.","Bir asır sonra Yunan matematikçi Öklid, EBOB'u hesaplamaya dayanan ünlü formülünü açıklar ve antik Yunan'da geometriyi daha sistematik hale dönüştürür.","Cebir bilinmeyenleri genellikle denklemlerle çözmeye çalışırken, geometri daha çok probleme görsel bir yaklaşım sunmayı tercih eder."]},"beginTime":486,"endTime":590,"href":"/video/preview/16457465838493712839?parent-reqid=1765290958548404-5403617154881122946-balancer-l7leveler-kubr-yp-sas-79-BAL&text=IX+TrT&t=486&ask_summarization=1"},{"index":6,"title":"Matematiksel Keşifler","list":{"type":"unordered","items":["1790'larda matematik öğretmeni öğrencilerine 1'den 100'e kadar olan tüm sayıların toplamını sorar, genç Carl Friedrich Gauss birkaç dakika içinde 5050 cevabını verir.","Gauss, sayıların çift ve tek olarak gruplandırılmasıyla toplamın 4900 tane 100 olduğunu fark eder.","Bugün kullandığımız ondalık sayı sistemi Batıya Arap matematiğinden geçer ve 9. yüzyılda Farslı matematikçi Harezmi ilk kez rakamını bulur."]},"beginTime":590,"endTime":733,"href":"/video/preview/16457465838493712839?parent-reqid=1765290958548404-5403617154881122946-balancer-l7leveler-kubr-yp-sas-79-BAL&text=IX+TrT&t=590&ask_summarization=1"},{"index":7,"title":"Cebir ve Olasılık","list":{"type":"unordered","items":["Cebir, mühendislikten kriptolojiye, yapay zekaya kadar mühendisliğin hemen hemen her alanında temel oluşturmuş vazgeçilmez alandır.","Cebirin gelişmesiyle birlikte olasılıklar da matematiğin konusu olur ve olasılık teorisinin kökleri 16. yüzyılda İtalyan matematikçi Gerolamo Cardano'ya dayanır.","Evrende birçok olasılık mevcuttur, örneğin bir satranç oyununda yapılabilecek bütün hamlelerin toplam olasılığı 10 üzeri 123'tür."]},"beginTime":733,"endTime":838,"href":"/video/preview/16457465838493712839?parent-reqid=1765290958548404-5403617154881122946-balancer-l7leveler-kubr-yp-sas-79-BAL&text=IX+TrT&t=733&ask_summarization=1"},{"index":8,"title":"Bilinmeyen ve Binom Açılımı","list":{"type":"unordered","items":["Matematikte bilinmeyenin tanımlanması Arap matematikçi Harezmi'ye dayanır ve yazılarında bilinmeyen için \"şey\" ifadesi kullanan Harezmi'nin bu kavramı Latince'ye \"xi\" olarak çevrilir.","Pascal, kumarbaz bir arkadaşının istemi üzerine olasılıkları hesaplayacak bir sistem geliştirir.","Binom açılımı, parantez içindeki iki rakamın toplamının üslü ifadesinin açılımıdır ve Pascal'a 1642 yılında tarihin ilk hesap makinesini yapmak için bir fırsat tanır."]},"beginTime":838,"endTime":931,"href":"/video/preview/16457465838493712839?parent-reqid=1765290958548404-5403617154881122946-balancer-l7leveler-kubr-yp-sas-79-BAL&text=IX+TrT&t=838&ask_summarization=1"},{"index":9,"title":"Pascal Üçgeni ve Hesap Makineleri","list":{"type":"unordered","items":["Pascal üçgeni, en üst tepeye 1 yerleştirilerek ve dışarıda her sayıya 1 gelecek şekilde oluşturulur, olasılık teorisinde kullanılır.","Pascal, binom açılımını kullanarak ilk mekanik hesap makinesini tasarlamıştır.","Yeniçağda matematikteki asıl sorun çok büyük veya çok küçük sayılarla işlem yapmaktır, abaküsler ancak 100'e kadar olan sayılarda işlem yapılabilirdi."]},"beginTime":944,"endTime":995,"href":"/video/preview/16457465838493712839?parent-reqid=1765290958548404-5403617154881122946-balancer-l7leveler-kubr-yp-sas-79-BAL&text=IX+TrT&t=944&ask_summarization=1"},{"index":10,"title":"Mental Abaküs","list":{"type":"unordered","items":["Mental abaküs, karmaşık görünse de basit bir çalışma prensibine sahiptir.","Beyaz boncuklar beşli basamağı, kırmızı boncuklar ise birler, onlar, yüzler, binler ve on binleri temsil eder.","Mental abaküs ile 123 milyon yazılabilir veya üç basamaklı sayılar toplanıp çıkarılabilir."]},"beginTime":995,"endTime":1068,"href":"/video/preview/16457465838493712839?parent-reqid=1765290958548404-5403617154881122946-balancer-l7leveler-kubr-yp-sas-79-BAL&text=IX+TrT&t=995&ask_summarization=1"},{"index":11,"title":"Fonksiyonlar ve Türev","list":{"type":"unordered","items":["Fonksiyonlar, sayıların belirli bir bağıntıya göre bir sisteme girdiğinde hangi çıktıları vereceğini hesaplar.","Fonksiyonlar karmaşık işlemleri çözmek için kullanılan şablonlardır ve belirli şartlara göre gerçekleşen değişimleri hesap etmeye yarar.","Outputtaki değişimin inputtaki değişime oranına türev denir ve bu değişim hızı ister azalma yönünde olsun ister artma yönünde olsun türevi ifade eder."]},"beginTime":1068,"endTime":1129,"href":"/video/preview/16457465838493712839?parent-reqid=1765290958548404-5403617154881122946-balancer-l7leveler-kubr-yp-sas-79-BAL&text=IX+TrT&t=1068&ask_summarization=1"},{"index":12,"title":"Fibonacci Dizisi ve Altın Oran","list":{"type":"unordered","items":["Her matematiksel formülün bir geometrik ifadesi vardır, bunun en iyi örneği Fibonacci dizisidir.","Leonardo Fibonacci, her sayıyı ardılıyla toplayarak 1, 2, 3, 5, 8, 13 şeklinde bir sayı dizisi oluşturur.","Fibonacci dizisindeki her sayı kendinden bir öncekine bölündüğünde kabaca altın oran (1,618) verir."]},"beginTime":1129,"endTime":1169,"href":"/video/preview/16457465838493712839?parent-reqid=1765290958548404-5403617154881122946-balancer-l7leveler-kubr-yp-sas-79-BAL&text=IX+TrT&t=1129&ask_summarization=1"},{"index":13,"title":"Geometri ve Cebir","list":{"type":"unordered","items":["Platon, ünlü akademisi'nin kapısına \"Geometri bilmeyen giremez\" yazmıştır çünkü her şeyin geometrik bir izahı vardır.","Binom açılımının klasik açılımı bir alan hesabıdır ve cebir geometrinin formüle ifadesidir.","Cebir ve geometri arasındaki ilişkinin en iyi ifade biçimi fonksiyonlardır ve bir fonksiyon kullanarak geometrik biçimlerin açı, alan ve kenarlarını hesaplamak mümkündür."]},"beginTime":1169,"endTime":1243,"href":"/video/preview/16457465838493712839?parent-reqid=1765290958548404-5403617154881122946-balancer-l7leveler-kubr-yp-sas-79-BAL&text=IX+TrT&t=1169&ask_summarization=1"},{"index":14,"title":"Arşimet ve Pi 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Programda turkuaz ve kırmızı iki takım yer almaktadır: turkuaz takımda Tugan Hanım ve Metehan, kırmızı takımda ise Murat Bey ve oğlu Çınar Ali bulunmaktadır.","Program, sıfır emisyonlu Varilloto araçlarıyla pistte yarışan takımların iki aşamalı bir yarış etkinliğini göstermektedir. İlk etap soru-cevap formatında olup, takımlar çocuk yarışmacılardan cevaplarını aldıkları sorular ve trafik kültürüyle ilgili sorularla puan kazanırlar. İkinci etap ise ebeveynlerin gözleri kapalı olarak çocuk yarışmacıların yönlendirmesiyle yapboz tamamlama yarışmasıdır. 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