The Sand Reckoner (Greek: Ψαμμίτης, Psammites) is a work by Archimedes, an Ancient Greek mathematician of the 3rd century BC, in which he set out to determine an upper bound for the number of grains of sand that fit into the universe.In order to do this, he had to estimate the size of the universe according to the contemporary model, and invent a way to talk about extremely …

Archimedes was born c. 287 BC in the seaport city of Syracuse, Sicily, at that time a self-governing colony in Magna Graecia.The date of birth is based on a statement by the Byzantine Greek historian John Tzetzes that Archimedes lived for 75 years before his death in 212 BC. In the Sand-Reckoner, Archimedes gives his father's name as Phidias, an astronomer about whom …

Mar 14, 2022 · ^累」＝重ねる、「乗」＝掛ける。 ^ For further analysis see The Sand Reckoner. ^ 単に「指数」と呼ぶ場合、"exponent" に限らず、（数学に限っても）種々の index を意味する場合も多く、文脈に注意を要する（たとえば部分群の指数）。 また、（必ずしも冪指数のことでない）"exponent" の訳として冪数が用い ...