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In probability theory, the law of large numbers ( LLN) is a mathematical theorem that states that the average of the results obtained from a large number of independent and identical random samples converges to the true value, if it exists. [1]
A standardized way of writing very large numbers allows them to be easily sorted in increasing order, and one can get a good idea of how much larger a number is than another one. To compare numbers in scientific notation, say 5×10 4 and 2×10 5 , compare the exponents first, in this case 5 > 4, so 2×10 5 > 5×10 4 .
In Polish, tysiąc pięćset sto dziewięćset ("one thousand five hundred one hundred nine hundred") is used, to refer to an indefinitely large number. In Swedish, femtioelva or sjuttioelva is used (lit. "fifty-eleven" and "seventy-eleven", although never actually intended to refer to the numbers 61 and 81).
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The Ancient Greeks used a system based on the myriad, that is, ten thousand, and their largest named number was a myriad myriad, or one hundred million. In The Sand Reckoner, Archimedes (c. 287–212 BC) devised a system of naming large numbers reaching up to. essentially by naming powers of a myriad myriad. This largest number appears because ...
This section illustrates several systems for naming large numbers, and shows how they can be extended past vigintillion . Traditional British usage assigned new names for each power of one million (the long scale ): 1,000,000 = 1 million; 1,000,0002 = 1 billion; 1,000,0003 = 1 trillion; and so on. It was adapted from French usage, and is ...
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