WEBVTT

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Kujuta ette, et me elame eelajaloolisel ajal.

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Nüüd, arvesta järgnevat:

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Kuidas me aega arvestasime ilma kellata?

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Kõik kellad põhinevad mingil korduval mustril,

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mis jagab aja voolu võrdseteks segmentideks.

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Et leida neid korduvaid mustreid,

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vaatame me taevasse.

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Päikese tõus ja loojang iga päev

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on kõige ilmsem[muster].

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Kuid, et jälgida pikemaid aja perioode,

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otsisime pikemaid tsükleid.

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Selleks, vaatasime kuud,

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mis tundus järk-järgult kasvavat

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ja kahanevat üle paljude päevade.

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Kui me lugesime päevade arvu

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täiskuude vahel,

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jõudsime numbrini 29.

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See on kuu algallikas.

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Kuid, kui me üritame jagada 29 võrdseteks tükkideks,

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me jookseme probleemi otsa: see on võimatu.

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Ainuke võimalus jagada 29 võrdseteks juppideks

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on murda see [29] üksikuteks tükkideks.

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29 on 'algarv'

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Mõtle sellest, kui lõhkumatust.

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Kui numbrit saab murda

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võrdseteks ühest suuremateks juppideks,

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kutsume seda 'kordarvuks.'

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Nüüd, kui oleme uudishimulikud, võime mõelda,

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"Kui palju algarve on olemas?

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- ja kui suureks nad lähevad?"

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Alustame sellega, et jagame kõik numbrid kahte kategooriasse.

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Reastame algarvud vasakule

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ja kordarvud paremale.

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Esmalt tunduvad nad tantsivat edasi-tagasi.

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Ei ole ilmset mustrit siin.

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Niisiis, kasutame kaasaegset tehnikat,

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et näha suurt pilti.

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Trikk seisneb "Ulami spiraali" kasutamises.

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Esmalt joondame kõik võimalikud numbrid järjest

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kasvavasse spiraali.

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Siis värvime kõik algarvud siniseks.

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