[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,,Kujuta ette, et me elame eelajaloolisel ajal. Dialogue: 0,0:00:07.22,0:00:09.47,Default,,0000,0000,0000,,Nüüd, arvesta järgnevat: Dialogue: 0,0:00:09.47,0:00:12.72,Default,,0000,0000,0000,,Kuidas me aega arvestasime ilma kellata? Dialogue: 0,0:00:12.72,0:00:15.32,Default,,0000,0000,0000,,Kõik kellad põhinevad mingil korduval mustril, Dialogue: 0,0:00:15.32,0:00:18.89,Default,,0000,0000,0000,,mis jagab aja voolu võrdseteks segmentideks. Dialogue: 0,0:00:18.89,0:00:20.69,Default,,0000,0000,0000,,Et leida neid korduvaid mustreid, Dialogue: 0,0:00:20.69,0:00:22.92,Default,,0000,0000,0000,,vaatame me taevasse. Dialogue: 0,0:00:22.92,0:00:24.90,Default,,0000,0000,0000,,Päikese tõus ja loojang iga päev Dialogue: 0,0:00:24.90,0:00:26.18,Default,,0000,0000,0000,,on kõige ilmsem[muster]. Dialogue: 0,0:00:26.18,0:00:28.76,Default,,0000,0000,0000,,Kuid, et jälgida pikemaid aja perioode, Dialogue: 0,0:00:28.76,0:00:30.81,Default,,0000,0000,0000,,otsisime pikemaid tsükleid. Dialogue: 0,0:00:30.81,0:00:32.51,Default,,0000,0000,0000,,Selleks, vaatasime kuud, Dialogue: 0,0:00:32.51,0:00:33.85,Default,,0000,0000,0000,,mis tundus järk-järgult kasvavat Dialogue: 0,0:00:33.85,0:00:36.58,Default,,0000,0000,0000,,ja kahanevat üle paljude päevade. Dialogue: 0,0:00:36.58,0:00:37.89,Default,,0000,0000,0000,,Kui me lugesime päevade arvu Dialogue: 0,0:00:37.89,0:00:38.98,Default,,0000,0000,0000,,täiskuude vahel, Dialogue: 0,0:00:38.98,0:00:40.91,Default,,0000,0000,0000,,jõudsime numbrini 29. Dialogue: 0,0:00:40.91,0:00:42.83,Default,,0000,0000,0000,,See on kuu algallikas. Dialogue: 0,0:00:42.83,0:00:45.87,Default,,0000,0000,0000,,Kuid, kui me üritame jagada 29 võrdseteks tükkideks, Dialogue: 0,0:00:45.87,0:00:49.23,Default,,0000,0000,0000,,me jookseme probleemi otsa: see on võimatu. Dialogue: 0,0:00:49.23,0:00:51.68,Default,,0000,0000,0000,,Ainuke võimalus jagada 29 võrdseteks juppideks Dialogue: 0,0:00:51.68,0:00:54.82,Default,,0000,0000,0000,,on murda see [29] üksikuteks tükkideks. Dialogue: 0,0:00:54.82,0:00:57.10,Default,,0000,0000,0000,,29 on 'algarv' Dialogue: 0,0:00:57.10,0:00:59.06,Default,,0000,0000,0000,,Mõtle sellest, kui lõhkumatust. Dialogue: 0,0:00:59.06,0:01:00.88,Default,,0000,0000,0000,,Kui numbrit saab murda Dialogue: 0,0:01:00.88,0:01:02.81,Default,,0000,0000,0000,,võrdseteks ühest suuremateks juppideks, Dialogue: 0,0:01:02.81,0:01:04.62,Default,,0000,0000,0000,,kutsume seda 'kordarvuks.' Dialogue: 0,0:01:04.62,0:01:06.61,Default,,0000,0000,0000,,Nüüd, kui oleme uudishimulikud, võime mõelda, Dialogue: 0,0:01:06.61,0:01:08.45,Default,,0000,0000,0000,,"Kui palju algarve on olemas? Dialogue: 0,0:01:08.45,0:01:10.40,Default,,0000,0000,0000,,- ja kui suureks nad lähevad?" Dialogue: 0,0:01:10.40,0:01:13.74,Default,,0000,0000,0000,,Alustame sellega, et jagame kõik numbrid kahte kategooriasse. Dialogue: 0,0:01:13.74,0:01:15.61,Default,,0000,0000,0000,,Reastame algarvud vasakule Dialogue: 0,0:01:15.61,0:01:17.65,Default,,0000,0000,0000,,ja kordarvud paremale. Dialogue: 0,0:01:17.65,0:01:20.38,Default,,0000,0000,0000,,Esmalt tunduvad nad tantsivat edasi-tagasi. Dialogue: 0,0:01:20.38,0:01:23.02,Default,,0000,0000,0000,,Ei ole ilmset mustrit siin. Dialogue: 0,0:01:23.02,0:01:24.44,Default,,0000,0000,0000,,Niisiis, kasutame kaasaegset tehnikat, Dialogue: 0,0:01:24.44,0:01:26.08,Default,,0000,0000,0000,,et näha suurt pilti. Dialogue: 0,0:01:26.08,0:01:29.05,Default,,0000,0000,0000,,Trikk seisneb "Ulami spiraali" kasutamises. Dialogue: 0,0:01:29.05,0:01:32.01,Default,,0000,0000,0000,,Esmalt joondame kõik võimalikud numbrid järjest Dialogue: 0,0:01:32.01,0:01:34.04,Default,,0000,0000,0000,,kasvavasse spiraali. Dialogue: 0,0:01:34.04,0:01:37.16,Default,,0000,0000,0000,,Siis värvime kõik algarvud siniseks. Dialogue: 0,0:01:37.16,0:01:41.29,Default,,0000,0000,0000,, Dialogue: 0,0:01:41.29,0:01:42.86,Default,,0000,0000,0000,, Dialogue: 0,0:01:42.86,0:01:45.36,Default,,0000,0000,0000,, Dialogue: 0,0:01:45.36,0:01:47.97,Default,,0000,0000,0000,, Dialogue: 0,0:01:47.97,0:01:50.31,Default,,0000,0000,0000,, Dialogue: 0,0:01:50.31,0:01:51.84,Default,,0000,0000,0000,, Dialogue: 0,0:01:51.84,0:01:52.99,Default,,0000,0000,0000,, Dialogue: 0,0:01:52.99,0:01:55.53,Default,,0000,0000,0000,, Dialogue: 0,0:01:55.53,0:01:58.18,Default,,0000,0000,0000,, Dialogue: 0,0:01:58.18,0:01:59.41,Default,,0000,0000,0000,, Dialogue: 0,0:01:59.41,0:02:02.61,Default,,0000,0000,0000,, Dialogue: 0,0:02:02.61,0:02:04.90,Default,,0000,0000,0000,, Dialogue: 0,0:02:04.90,0:02:07.08,Default,,0000,0000,0000,, Dialogue: 0,0:02:07.08,0:02:10.60,Default,,0000,0000,0000,, Dialogue: 0,0:02:10.60,0:02:12.92,Default,,0000,0000,0000,, Dialogue: 0,0:02:12.92,0:02:15.76,Default,,0000,0000,0000,, Dialogue: 0,0:02:15.76,0:02:17.15,Default,,0000,0000,0000,, Dialogue: 0,0:02:17.15,0:02:20.54,Default,,0000,0000,0000,, Dialogue: 0,0:02:20.54,0:02:23.32,Default,,0000,0000,0000,, Dialogue: 0,0:02:23.32,0:02:25.67,Default,,0000,0000,0000,, Dialogue: 0,0:02:25.67,0:02:28.04,Default,,0000,0000,0000,, Dialogue: 0,0:02:28.04,0:02:30.52,Default,,0000,0000,0000,, Dialogue: 0,0:02:30.52,0:02:33.35,Default,,0000,0000,0000,, Dialogue: 0,0:02:33.35,0:02:34.77,Default,,0000,0000,0000,, Dialogue: 0,0:02:34.77,0:02:37.68,Default,,0000,0000,0000,, Dialogue: 0,0:02:37.68,0:02:40.22,Default,,0000,0000,0000,, Dialogue: 0,0:02:40.22,0:02:41.100,Default,,0000,0000,0000,, Dialogue: 0,0:02:41.100,0:02:46.16,Default,,0000,0000,0000,, Dialogue: 0,0:02:46.16,0:02:48.03,Default,,0000,0000,0000,, 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,,