Sentence examples for sum diverges from inspiring English sources

Assuming each dollar is worth one utile, the expected value of the St Petersburg game is It turns out that this sum diverges; the St Petersburg game has infinite expected utility.

Suppose, for instance, that God does not exist, but that we are reincarnated ad infinitum, and that the total utility we receive is an infinite sum that diverges to infinity or to negative infinity.

The eta function in particular is easier to deal with by Euler's methods because its Dirichlet series is Abel summable everywhere; the zeta function's Dirichlet series is much harder to sum where it diverges.

However, the series (sum _{n<0}f_n) can diverge in general.

On the other hand, the harmonic series, 1+1/2 +1/3 +1/4 … which propped up our puzzle, Hanging Over The Edge, diverges, its sum growing larger and larger as you add more and more terms.

In general, the sum in (3.21) will diverge.

Come on Mr Steve!" There is a scene in The Trip that sums up their diverging public profiles rather perfectly.

This overlap between conservation and divergence caused the fractions of conserved and diverged genes to sum to more than one in the Populus- A. thaliana comparisons in Figure  4D.

In a 1749 report, Leonhard Euler admits that the series diverges but prepares to sum it anyway: Euler proposed a generalization of the word "sum" several times.

(In contrast, the sum of the reciprocals of the primes diverges to infinity).

He proved that the sum of the reciprocals of the primes diverges.