Results 1 
2 of
2
Dances between continuous and discrete: Euler's summation formula
, 2002
"... this paper. 9 Large binomials In our last excerpt, Euler applies the summation formula to estimate the size of large binomial coe#cients. I translate just one of his methods here, in which he coalesces two summation series term by term. As a sample application, Euler approximates the ratio 50 ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
this paper. 9 Large binomials In our last excerpt, Euler applies the summation formula to estimate the size of large binomial coe#cients. I translate just one of his methods here, in which he coalesces two summation series term by term. As a sample application, Euler approximates the ratio 50 /2 , despite the huge size of its parts, thus closely approximating the probability that if one tosses 100 coins, exactly equal numbers will land heads and tails