<P> Many other series, sequence, continued fraction, and infinite product representations of e have been developed . </P> <P> In addition to exact analytical expressions for representation of e, there are stochastic techniques for estimating e . One such approach begins with an infinite sequence of independent random variables X, X..., drawn from the uniform distribution on (0, 1). Let V be the least number n such that the sum of the first n observations exceeds 1: </P> <Dl> <Dd> V = min (n ∣ X 1 + X 2 + ⋯ + X n> 1). (\ displaystyle V = \ min (\ left \ (n \ mid X_ (1) + X_ (2) + \ cdots + X_ (n)> 1 \ right \)).) </Dd> </Dl> <Dd> V = min (n ∣ X 1 + X 2 + ⋯ + X n> 1). (\ displaystyle V = \ min (\ left \ (n \ mid X_ (1) + X_ (2) + \ cdots + X_ (n)> 1 \ right \)).) </Dd>

Who is the mathematician credited with discovering the number e = 2.71828