Sentence examples for probabilities are less from inspiring English sources

In terms of these events, in (A.2) can be upper bounded via the union bound, and the fact that probabilities are less than one, as (A12).

However, probabilities are less useful in the case of large all α-helical proteins (J. Söding, pers. commun).

This may be because the more restricted posterior probabilities are less sensitive to misspecification of prior probabilities of network links.

For all pass-bands, the correct detection probabilities were less than 50%%.

Increasing the range of variation in survival probabilities was less important to persistence, but its effect also increased when year-to-year changes were autocorrelated in time.

If the ratio of probabilities is less than one, i.e., ( mathbb{p}<1 ), the nodes are considered not to be normal than to selfish.

The second issue is that the mapping from state activations returned by some solver to state posterior probabilities is less straightforward than was implemented in [20] and [24] and in this paper.

Each inbred line was assigned to a group when membership probabilities were 0.8 or higher, or to a "mixed" group when membership probabilities were less than 0.8.

The PB signatures for 200 cGy and 1000 cGy also correctly predicted the LPS-treated mice as non-irradiated, although these probabilities were less robust than the application of the 50 cGy signature (Figure 5B).

Drug treatment was considered inactive if the response probabilities were less than 20%%, while treatment was considered effective if response probabilities were greater than 40%%.

Haplotypes were omitted from analysis if the estimated haplotype probabilities were less than 3% in either the CRC or schizophrenia groups.