[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:04.42,0:00:07.22,Default,,0000,0000,0000,,Tasavvur qiling, milodan avvalgi yillar.
Dialogue: 0,0:00:07.22,0:00:09.47,Default,,0000,0000,0000,,O'ylab ko'ring:
Dialogue: 0,0:00:09.47,0:00:12.72,Default,,0000,0000,0000,,Qanday qilib soatsiz, vaqtni aniqlashgan?
Dialogue: 0,0:00:12.72,0:00:15.32,Default,,0000,0000,0000,,Barcha soatlar vaqt oqimini \Nteng bo'laklarga bo'luvchi
Dialogue: 0,0:00:15.32,0:00:18.89,Default,,0000,0000,0000,,qandaydir takroriy shaklga asoslangan.
Dialogue: 0,0:00:18.89,0:00:20.69,Default,,0000,0000,0000,,Bunday takroriy shakillarni topish uchun
Dialogue: 0,0:00:20.69,0:00:22.92,Default,,0000,0000,0000,,samolarga yuzlanamiz.
Dialogue: 0,0:00:22.92,0:00:24.90,Default,,0000,0000,0000,,Har kuni quyoshning chiqishi va botishi
Dialogue: 0,0:00:24.90,0:00:26.18,Default,,0000,0000,0000,,bunday shakllarning eng oddiysidir.
Dialogue: 0,0:00:26.18,0:00:28.76,Default,,0000,0000,0000,,Lekin, uzoqroq vaqt bo'lagini kuzatish uchun,
Dialogue: 0,0:00:28.76,0:00:30.81,Default,,0000,0000,0000,,uzoqroq takrorlanishlarga e'tibor beramiz.
Dialogue: 0,0:00:30.81,0:00:32.51,Default,,0000,0000,0000,,Buning uchun esa, oyga yuzlanamiz.
Dialogue: 0,0:00:32.51,0:00:33.85,Default,,0000,0000,0000,,E'tibor bergan bo'lsangiz,
Dialogue: 0,0:00:33.85,0:00:36.58,Default,,0000,0000,0000,,oy kunlar osha to'lishadi va kichrayadi.
Dialogue: 0,0:00:36.58,0:00:37.89,Default,,0000,0000,0000,,To'lin oylar orasidagi kunlar sonini
Dialogue: 0,0:00:37.89,0:00:38.98,Default,,0000,0000,0000,,sanaydigan bo'lsak,
Dialogue: 0,0:00:38.98,0:00:40.91,Default,,0000,0000,0000,,u 29 kunga teng.
Dialogue: 0,0:00:40.91,0:00:42.83,Default,,0000,0000,0000,,Bir oydagi kunlar soni shundan \Nkelib chiqqan bo'lsa kerak.
Dialogue: 0,0:00:42.83,0:00:45.87,Default,,0000,0000,0000,,Ammo, 29 ni teng bo'laklarga \Nbo'lishga harakat qilsak
Dialogue: 0,0:00:45.87,0:00:49.23,Default,,0000,0000,0000,,bir muammoga duch kelamiz: \Nbuning iloji yo'q.
Dialogue: 0,0:00:49.23,0:00:51.68,Default,,0000,0000,0000,,29 ni teng bo'laklarga bo'lishning \Nyagona yo'li
Dialogue: 0,0:00:51.68,0:00:54.82,Default,,0000,0000,0000,,uni 29 ta teng bo'lakka bo'lishdan iborat.
Dialogue: 0,0:00:54.82,0:00:57.10,Default,,0000,0000,0000,,29 soni tub son hisoblanadi.
Dialogue: 0,0:00:57.10,0:00:59.06,Default,,0000,0000,0000,,Uni bo'linmas deb tasavvur qiling.
Dialogue: 0,0:00:59.06,0:01:00.88,Default,,0000,0000,0000,,Agar son birdan boshqa
Dialogue: 0,0:01:00.88,0:01:02.81,Default,,0000,0000,0000,,teng bo'laklarga bo'linsa,
Dialogue: 0,0:01:02.81,0:01:04.62,Default,,0000,0000,0000,,biz uni 'murakkab son' deb ataymiz.
Dialogue: 0,0:01:04.62,0:01:06.61,Default,,0000,0000,0000,,Endi biz qiziqishimiz mumkin,
Dialogue: 0,0:01:06.61,0:01:08.45,Default,,0000,0000,0000,,"Dunyoda nechta tub son bo'lishi mumkin -
Dialogue: 0,0:01:08.45,0:01:10.40,Default,,0000,0000,0000,,va ularning eng kattasi \Nnechaga teng ekan?"
Dialogue: 0,0:01:10.40,0:01:13.74,Default,,0000,0000,0000,,Keling, barcha sonlarni \Nikkita guruhga bo'lamiz.
Dialogue: 0,0:01:13.74,0:01:15.61,Default,,0000,0000,0000,,Tub sonlar chap tomonda
Dialogue: 0,0:01:15.61,0:01:17.65,Default,,0000,0000,0000,,va murakkab sonlar o'ng tomonda.
Dialogue: 0,0:01:17.65,0:01:20.38,Default,,0000,0000,0000,,Boshida, u tomondan bu tomonga raqs \Ntushayotganga o'xshaydilar.
Dialogue: 0,0:01:20.38,0:01:23.02,Default,,0000,0000,0000,,Ammo, ularning joylashuvida \Naniq bir shakl mavjud emas.
Dialogue: 0,0:01:23.02,0:01:24.44,Default,,0000,0000,0000,,Keling, bunday shaklni ko'rish uchun
Dialogue: 0,0:01:24.44,0:01:26.08,Default,,0000,0000,0000,,zamonaviy usuldan foydalanamiz.
Dialogue: 0,0:01:26.08,0:01:29.05,Default,,0000,0000,0000,,Bu usul "Ulam spirali" deb nomlanadi.
Dialogue: 0,0:01:29.05,0:01:32.01,Default,,0000,0000,0000,,Boshida, barcha raqamlarni tartib bilan,\No'sayotgan spiral
Dialogue: 0,0:01:32.01,0:01:34.04,Default,,0000,0000,0000,,ichiga joylab chiqamiz.
Dialogue: 0,0:01:34.04,0:01:37.16,Default,,0000,0000,0000,,Keyin, barcha tub sonlarni \Nko'k ranga bo'yab chiqamiz.
Dialogue: 0,0:01:37.16,0:01:41.29,Default,,0000,0000,0000,,Nihoyat, biz millionlab raqamlarni\Nko'rish uchun uzoqlashamiz.
Dialogue: 0,0:01:41.29,0:01:42.86,Default,,0000,0000,0000,,Mana bu tugalmas tub sonlarning
Dialogue: 0,0:01:42.86,0:01:45.36,Default,,0000,0000,0000,,shakli hisoblanadi.
Dialogue: 0,0:01:45.36,0:01:47.97,Default,,0000,0000,0000,,Hayratlanarlisi shuki, bu shaklning \Ntuliq strukturasi
Dialogue: 0,0:01:47.97,0:01:50.31,Default,,0000,0000,0000,,haligacha topilmagan.
Dialogue: 0,0:01:50.31,0:01:51.84,Default,,0000,0000,0000,,Nimanidir kashf etish arafasida\Nturganga o'xshaymiz.
Dialogue: 0,0:01:51.84,0:01:52.99,Default,,0000,0000,0000,,Keling, m.a. 300 yillarga
Dialogue: 0,0:01:52.99,0:01:55.53,Default,,0000,0000,0000,,Qadimgi Gretsiyaga sayr qilamiz.
Dialogue: 0,0:01:55.53,0:01:58.18,Default,,0000,0000,0000,,Buyuk faylasuf Aleksandryalik Evklid
Dialogue: 0,0:01:58.18,0:01:59.41,Default,,0000,0000,0000,,barcha sonlarni
Dialogue: 0,0:01:59.41,0:02:02.61,Default,,0000,0000,0000,,bu ikki guruhga ajralishini anglab yetadi.
Dialogue: 0,0:02:02.61,0:02:04.90,Default,,0000,0000,0000,,Dastlab, u istalgan sonni
Dialogue: 0,0:02:04.90,0:02:07.08,Default,,0000,0000,0000,,eng kichik teng sonlar guruhlarigacha
Dialogue: 0,0:02:07.08,0:02:10.60,Default,,0000,0000,0000,,bo'lish mumkinligini anglab yetadi.
Dialogue: 0,0:02:10.60,0:02:12.92,Default,,0000,0000,0000,,Va bu eng kichik sonlar esa, har doim,
Dialogue: 0,0:02:12.92,0:02:15.76,Default,,0000,0000,0000,,tub sonlardir.
Dialogue: 0,0:02:15.76,0:02:17.15,Default,,0000,0000,0000,,Shunday qilib u, barcha sonlar
Dialogue: 0,0:02:17.15,0:02:20.54,Default,,0000,0000,0000,,tub sonlardan qurilganini tushunib yetadi.
Dialogue: 0,0:02:20.54,0:02:23.32,Default,,0000,0000,0000,,Aniqrog'i, barcha sonlar olamini \Ntasavvur qiling.
Dialogue: 0,0:02:23.32,0:02:25.67,Default,,0000,0000,0000,,tub sonlar haqida unuting.
Dialogue: 0,0:02:25.67,0:02:28.04,Default,,0000,0000,0000,,Endi, istalgan murakkab sonni olamiz,
Dialogue: 0,0:02:28.04,0:02:30.52,Default,,0000,0000,0000,,va bo'laklarga ajratamiz,
Dialogue: 0,0:02:30.52,0:02:33.35,Default,,0000,0000,0000,,va bu bo'laklar har doim \Ntub sonlardir.
Dialogue: 0,0:02:33.35,0:02:34.77,Default,,0000,0000,0000,,Demak, Evklid istalgan raqam
Dialogue: 0,0:02:34.77,0:02:37.68,Default,,0000,0000,0000,,kichikroq tub sonlar guruhi orqali ifodalanishi \Nmumkinligin tushunib yetgan.
Dialogue: 0,0:02:37.68,0:02:38.68,Default,,0000,0000,0000,,Ularni g'ishtlar deb tasavvur qiling.
Dialogue: 0,0:02:38.68,0:02:40.22,Default,,0000,0000,0000,,Qaysi son bo'lishidan qat'iy nazar
Dialogue: 0,0:02:40.22,0:02:41.100,Default,,0000,0000,0000,,uni kichiroq tub sonlarni qo'shish \Nbilan yasash mumkin.
Dialogue: 0,0:02:41.100,0:02:46.16,Default,,0000,0000,0000,,Mana shu Evklid kashfiyotining \Nasosi bo'lib,
Dialogue: 0,0:02:46.16,0:02:48.03,Default,,0000,0000,0000,,"Arifmetikaning asosiy nazariyasi" \Ndeb nomlanadi.
Dialogue: 0,0:02:48.03,0:02:50.76,Default,,0000,0000,0000,,
Dialogue: 0,0:02:50.76,0:02:52.01,Default,,0000,0000,0000,,
Dialogue: 0,0:02:52.01,0:02:53.93,Default,,0000,0000,0000,,
Dialogue: 0,0:02:53.93,0:02:55.50,Default,,0000,0000,0000,,
Dialogue: 0,0:02:55.50,0:02:57.23,Default,,0000,0000,0000,,
Dialogue: 0,0:02:57.23,0:02:59.76,Default,,0000,0000,0000,,
Dialogue: 0,0:02:59.76,0:03:01.62,Default,,0000,0000,0000,,
Dialogue: 0,0:03:01.62,0:03:05.81,Default,,0000,0000,0000,,
Dialogue: 0,0:03:05.81,0:03:07.91,Default,,0000,0000,0000,,
Dialogue: 0,0:03:07.91,0:03:10.71,Default,,0000,0000,0000,,
Dialogue: 0,0:03:10.71,0:03:12.74,Default,,0000,0000,0000,,
Dialogue: 0,0:03:12.74,0:03:13.78,Default,,0000,0000,0000,,
Dialogue: 0,0:03:13.78,0:03:16.18,Default,,0000,0000,0000,,
Dialogue: 0,0:03:16.18,0:03:20.16,Default,,0000,0000,0000,,
Dialogue: 0,0:03:20.16,0:03:23.15,Default,,0000,0000,0000,,
Dialogue: 0,0:03:23.15,0:03:24.89,Default,,0000,0000,0000,,
Dialogue: 0,0:03:24.89,0:03:27.11,Default,,0000,0000,0000,,
Dialogue: 0,0:03:27.11,0:03:28.79,Default,,0000,0000,0000,,
Dialogue: 0,0:03:28.79,0:03:31.28,Default,,0000,0000,0000,,
Dialogue: 0,0:03:31.28,0:03:34.05,Default,,0000,0000,0000,,
Dialogue: 0,0:03:34.05,0:03:36.30,Default,,0000,0000,0000,,
Dialogue: 0,0:03:36.30,0:03:38.02,Default,,0000,0000,0000,,
Dialogue: 0,0:03:38.03,0:03:39.72,Default,,0000,0000,0000,,
Dialogue: 0,0:03:39.72,0:03:42.05,Default,,0000,0000,0000,,
Dialogue: 0,0:03:42.05,0:03:43.94,Default,,0000,0000,0000,,
Dialogue: 0,0:03:43.94,0:03:47.89,Default,,0000,0000,0000,,