Sentence examples for this last approximation from inspiring English sources

This last approximation also leads to, which justifies the equalizer unbiasedness.

This last approximation is realistic, since during the design phase, none of the stresses presented in the structure are above the yield stress at the time.

This last approximation is helpful because fixation time is asymptotic, with the advantageous allele never reaching 100% in a deterministic model.

This correlation function often has an exponential form: where the last approximation is valid for short amounts of growth relative to the persistence length (δs ≪ L).

In view of the last equation and uniform sprinkling, implying that the expected number of nodes dN in spacetime volume dV is dN = δ dV, the temporal node density ρ(t) at time is where the last approximation holds for.

(In the last approximation, we used that η is fixed).

where the last approximation has been obtained by neglecting the noise noise term, and, moreover, and represent the contribution to and (in (A.8) and (A.9), resp). in the absence of noise and of the interference terms.

Using the concepts and notation developed by Storey and Tibshirani [ 43], a false discovery rate given a particular threshold value α is the expected proportion of false positives (F) in all positive calls (S), which can be written as The last approximation can be shown to be valid if the number of genes tested is large [ 43].

(13) The last approximation holds as long as k is not too large, in which case the lowest value of x (t ) in the interval, and thus also H k (x ), are still small, since the harmonic mean is dominated by the smallest values.

The last approximation is based on the assumption that within one iteration of the gradient descent optimization cycle, the probability density at one point is not affected by the rest.

The last approximation is valid for small.