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In 2011 after analyzing 1.5 million FIDE rated games, Jeff Sonas demonstrated according to the Elo formula, two players having a rating difference of X actually have a true difference of around X(5/6). Likewise, one can leave the rating difference alone and divide by 480 instead of 400.
In mathematics, the sieve of Eratosthenes (Greek: κόσκινον Ἐρατοσθένους), one of a number of prime number sieves, is a simple, ancient algorithm for finding all prime numbers up to any given limit. It does so by iteratively marking as composite, i.e., not prime, the multiples of each prime, starting with the multiples of 2 ...
This proof uses a variation of the series 1/4 + 1/16 + 1/64 + 1/256 + · · · which sums to 1 / 3 . Myriad of myriads In The Sand Reckoner , Archimedes set out to calculate a number that was greater than the grains of sand needed to fill the universe.
In 2016, Thailand had 1.2 global hectares [238] of biocapacity per person within its territory, a little less than world average of 1.6 global hectares per person. [239] In contrast, in 2016, they used 2.5 global hectares of biocapacity—their ecological footprint of consumption. This means they use about twice as much biocapacity as Thailand ...
"Bacon's Rebellion, the Grievances of the People, and the Political Culture of Seventeenth-Century Virginia," Virginia Magazine of History & Biography (2011) 119#1 pp 1–41. Thompson, Peter (2006). "The Thief, the Householder, and the Commons: Languages of Class in Seventeenth-Century Virginia". The William and Mary Quarterly. 63 (2): 253– 280.
It then decreased to 3.2% in 2014 and held steady for several years, before further dropping to 2.5% in 2018 and 2.3% in 2019; in 2023 it had reached a 20-year low of 2%. [166] Population growth (from net immigration) reached 0.52% of population in 2004, increased in the following years before falling to 0.54% again in 2017.
The number of migrants arrested attempting to cross the Mexican border in the Southwest decreased from a high of 1.1 million in 2005 to 367,000 in 2011. [195] Despite these recent trends, illegal aliens constituted an estimated 7.3 percent of the state's population, the third highest percentage of any state in the country , [ 196 ] [ note 4 ...