Sentence examples for estimate is utilized from inspiring English sources

Secondly, we establish bounds for a solution ∇(t) of the Yang Mills heat equation in a vector bundle over M. The Li Yau–Hamilton estimate is utilized in the proofs.

First, a sliding observation vector (SOV) v based on the coarse timing estimate is utilized to perform the fine time adjustment, where v T = [ τ c τ c − 1 τ c − 2 … τ c − V + 1 ] = { v ( n ), ∀ n ∈ Ω v }, (16).

This effect is particularly strong when the scale of inquiry is large relative to the extent of the map, as fewer box mass estimates are utilized to form the distribution from which lacunarity is calculated.

The models estimated are utilized for out-of-sample forecasting.

Kaplan Meier estimates were utilized to perform log-rank tests that measure for strain differences in local disease onset.

Pterosaur and soaring bird wing ecomorphospace comparisons, using principal component analyses and incorporating data from Norberg and Rayner [63] and Rayner [64], indicate that most pterosaurs are incomparable to soaring procellariiform birds (Fig. 2) and particularly so when 'heavy' pterosaur mass estimates are utilized.

DIVAA-generated positional diversity estimates were utilized to calculate the average positional diversity estimates for the peptide populations.

Minimum wage versus other wage estimates was utilized given that such relatively small time requirements for daily and weekly administration would not require a parent or young adult to miss work in order to administer to either a child or self, and it is highly unlikely that skilled care providers would be brought into the home for daily rhGH administration.

where e i denotes the ith column of the identity matrix I B. The property that users with the same pilot have parallel estimated channels is utilized to derive and analyze new SE expressions in the sequel.

Cumulative sum (CUSUM) control chart with estimated process parameters is utilized to detect faults in VAV terminals.

The estimated angular velocity is utilized as input of the second Particle Filtering (PF) based observer in two scenarios of stochastic and deterministic inputs.