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Friends, In this video, we'll discuss the \"Poincare Conjecture,\" a topic we planned to publish at a later date but prioritized because we thought it would be a bit more interesting than the...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1619913/84328ade78e102be272167b55637a1eb/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/g_3xCwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"1","reqid":"1769645994736161-5302186594213809202-balancer-l7leveler-kubr-yp-klg-188-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769645994736161-5302186594213809202-balancer-l7leveler-kubr-yp-klg-188-BAL&text=videoid:9221854466875290915","teaser":[{"list":{"type":"unordered","items":["Bu video, Neandertal Academy tarafından sunulan, matematiksel kavramları herkesin anlayabileceği şekilde açıklayan eğitici bir içeriktir. Konuşmacı, Poincare Varsayımı ve boyutlar hakkında detaylı bilgiler sunmaktadır.","Video, Poincare Varsayımı'nın ne olduğunu açıklayarak başlıyor ve Perelman'ın çözümü ile Neandertal Academy'nin kendi çözümünün karşılaştırmasını yapıyor. Ardından boyutların katmanlar halinde oluştuğu, logaritmik spiral geometrisi, iki boyutlu uzayların üç boyutlu küresel uzaylara dönüşümü ve Riemann uzayları gibi konular ele alınıyor.","Videoda ayrıca manifoldlardaki geometrik ve metrik değişimler, ısı kaybı etkisiyle büzülme ve enerji-momentum etkisiyle genişleme gibi kavramlar açıklanıyor. Konuşmacı, ileride boyut devam videolarında bu konuları daha detaylı inceleyeceğini belirtiyor."]},"endTime":1071,"title":"Poincare Varsayımı ve Boyutlar Üzerine Matematiksel Eğitim Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"Poincare Varsayımı ve Topoloji","list":{"type":"unordered","items":["Video, Poincare varsayımını anlatarak, tensor analiz ve diferansiyel geometri konusunda bilgi gerektiren Perelman'ın çözümünün ana fikrini ve Neandertal Academy'nin alternatif çözümünün kısa özetini anlatmayı amaçlıyor.","Poincare varsayımında, iki boyutlu uzayın başlangıçta küre yüzeyi gibi olması gerekmez; eğer eğri büğrü de olsa tıkız bir cismin yüzeyi üzerindeki kapalı bir eğri bir noktaya büzülebiliyorsa, bu cisim yalnızca dört boyutlu uzaydaki üç boyutlu bir küre olabilir.","Topolojide, iki cisim yapılarındaki süreklilik bozulmadan esneme ve deformasyonla geometrik olarak birbirine dönüştürülebiliyorsa, bu iki cisim homoomorfik olarak yani topolojik olarak aynı kabul 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oluşturabilir."]},"beginTime":389,"endTime":587,"href":"/video/preview/9221854466875290915?parent-reqid=1769645994736161-5302186594213809202-balancer-l7leveler-kubr-yp-klg-188-BAL&text=NA+Solution&t=389&ask_summarization=1"},{"index":3,"title":"Boyutlar ve Geometri","list":{"type":"unordered","items":["Boyutlar ve temsil ettikleri uzaylar, katmanlar halinde sarılarak oluşur.","Logaritmik spiral tüm boyutları tarayan bir geometri olduğundan, bu sarılmalar artan logaritmik spiral gibi düşünülebilir.","İki boyutlu alt uzaylar sarılarak üç boyutlu küresel uzaylar, üç boyutlu uzaylar sarılarak da daha yüksek boyutlu uzaylar oluşturulur."]},"beginTime":593,"endTime":627,"href":"/video/preview/9221854466875290915?parent-reqid=1769645994736161-5302186594213809202-balancer-l7leveler-kubr-yp-klg-188-BAL&text=NA+Solution&t=593&ask_summarization=1"},{"index":4,"title":"Riemann Uzayları","list":{"type":"unordered","items":["Öklit uzayları, Riemann uzaylarının düz ve orta konal sayılabilecek kadar manipüle edilmiş alt uzaylarıdır.","Riemann uzayı yeterince düzlemsel katmanlar gibi görünür.","Logaritmik spiral katmanlarının geçişli olması, boyutların en küçük parçası olarak kabul edilir."]},"beginTime":627,"endTime":662,"href":"/video/preview/9221854466875290915?parent-reqid=1769645994736161-5302186594213809202-balancer-l7leveler-kubr-yp-klg-188-BAL&text=NA+Solution&t=627&ask_summarization=1"},{"index":5,"title":"Türev ve Küresel Uzaylar","list":{"type":"unordered","items":["Kürenin üzerindeki incecik yüzey, kürenin türevidir ve küreyi en az miktarda büyütür.","İki boyutlu türev katmanlarından üç boyutlu küre elde edilir.","Poincare'ye göre, üç boyutlu uzay içinde temsil edilen iki boyutlu uzay, dört boyutlu uzay içindeki bir küre olabilir."]},"beginTime":662,"endTime":726,"href":"/video/preview/9221854466875290915?parent-reqid=1769645994736161-5302186594213809202-balancer-l7leveler-kubr-yp-klg-188-BAL&text=NA+Solution&t=662&ask_summarization=1"},{"index":6,"title":"Boyutlar ve 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Calculate a. The precentage by weight of sodium thiosulphate. b. 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The molalities of `Na^(o+)` and `S_(2)O_(3)^(2-)` ions. Doubtnut के साथ १००% मार्क्स पायें, आज ही डाउनलोड करें :- https://doubtnut.app.link/91GzfmKxjP KS Verma Physical Solutions for class 11...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4518556/1ef10bef3b7335b1eea442c185db9c3e/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/JA8mCwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"6","reqid":"1769645994736161-5302186594213809202-balancer-l7leveler-kubr-yp-klg-188-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DVQCxKi-65TA","linkTemplate":"/video/preview/6793831002022585624?parent-reqid=1769645994736161-5302186594213809202-balancer-l7leveler-kubr-yp-klg-188-BAL&text=NA+Solution&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"The density of `3 M` sodium of thiosulphate solution `(Na_(2) S_(2) O_(3))` is `1.25 g mL^(-1)`. 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tell if Na2CO3 (Sodium carbonate) forms an acidic, basic (alkaline), or neutral solution we can use these three simple rules along with the neutralization reaction that formed Na2CO3 .","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4945243/45f0dce092297af98d37e36cb271753c/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/HlIP1QAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"10","reqid":"1769645994736161-5302186594213809202-balancer-l7leveler-kubr-yp-klg-188-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Di-fwUE_Tbts","linkTemplate":"/video/preview/9632759519024987374?parent-reqid=1769645994736161-5302186594213809202-balancer-l7leveler-kubr-yp-klg-188-BAL&text=NA+Solution&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Is Na2CO3 acidic, basic, or neutral (dissolved in water)?","related_orig_text":"NA 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Address C6 Creek SIDE Daang Bakal Banaba SAN Mateo Rizal.. NAME: Henry G. Lopez Contact....09495214999 Cellphone Repair TIPS Tutorial Solutions... CPU Rebolling Solution Mother Board Scanning..","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2268492/2bf14c6746be52f60c6e895aa73a8067/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/Hq4JAAIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"17","reqid":"1769645994736161-5302186594213809202-balancer-l7leveler-kubr-yp-klg-188-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DHQvUeJD33nY","linkTemplate":"/video/preview/7829627048755882313?parent-reqid=1769645994736161-5302186594213809202-balancer-l7leveler-kubr-yp-klg-188-BAL&text=NA+Solution&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Mabilis na solution Ito na","related_orig_text":"NA Solution","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"NA 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