Sentence examples for errors of order from inspiring English sources
When we apply the mixture density concept to a submerged body of size r, we can expect errors of order ∼(1+1/r)3, as the very upper bound.
As Kato noted in his thesis, this idea shows if all the terms for the nth order formal series for the eigenvector lie in ({mathcal {H}}), then one gets asymptotic series for the energy with errors of order O((beta ^{2n})), i.e. the 2n coefficients (E_0,ldots,E_{2n-1}) buthehe method doesn't handle odd powers.
The asymptotic analysis reveals that the proposed Brinkman penalization technique results in the amplitude and phase errors of order O1/2) and O((η/ηT 1/4ϕ3/4), when the boundary layer within the porous media is respectively resolved or unresolved.
The data did not resemble a Gaussian distribution, if the data lay outside of the confidence envelopes based on the standard errors of order statistics for an independent sample from the Gaussian distribution.
It is shown that, for an error of order ∈ in the noise covariance matrix, an error of order ∈2 is produced in the achieved optimal gain.
Finally, confirmation of ROM indicated that the error of order of magnitude was less than 0.001, for nitrate ROM to regenerate nitrate data using 100 basis functions.
Stability and error analysis show that the new algorithm is unconditionally stable and has the truncation error of order two in both space and time.
The results in this table show that with few numbers of retained modes we obtained a maximum pointwise error of order 10−8.
Using a lattice Boltzmann equation and the Chapman Enskog expansion, we get 1D and 2D wave equations with truncation error of order two.
Namely, in the existing algorithms, the usual amount of attacks is time scaling up to 4%, wow up to 0.5% or 0.7%, echo 50 ms or 100 ms [5], and so forth, providing the probability of error of order 10-6.
end{aligned}This provides a Hölder bound on the curves (x^tau ) (with a negligible error of order (sqrt{tau }) which disappears at the limit (tau rightarrow 0)), and allows to extract a converging subsequence.
