The phrase "approximation with that of" is not correct in standard written English.
It is unclear and may confuse readers due to its awkward construction.
Example: "The approximation with that of the previous model was not accurate enough for our needs."
Alternatives: "similarity to" or "comparison with".
In order to roughly compare the storage costs of the proposed approximation algorithm with that of EPWT and the tensor product wavelet transform, the following simplified scheme is assumed [20, 31].
A Neville table is built by repeated extrapolation of a set of initial approximations with stepsizes that are different subintervals of a larger overall step τ, and is then used to find a very accurate solution.
33 Thus, Eq. (1) might be used as a first approximation, with an uncertainty of order of 20% on the decay constant that was tentatively taken as 0.0015 nm−1.
OCR was estimated by collinear approximation, and normalized with that of parental cells.
We used non-parametric Mann-Whitney U tests to compare scores on the MVQOLI subscales by diagnosis (cancer vs. HIV), as the Kolmogorov-Smirnov test (with Lilliefors approximation) demonstrated that the distribution of scores was skewed for all subscales, and we treated the groups as independent samples given our attempt to minimise site effects.
Clyde and George (2004) compare the BIC approximation with other methods of computing BF.
Thiskey step is to rewrite the model into a conditionally linear form for the complete solvedvector (not only for the linear part ) as followith(9approximations
With the approximation that the measured density of the mixture ρm = w2 ρ2 − ρ1), where the subscripts 1 and 2 refer to the solvent and solute, respectively, and w1 + w2 = 1, the density of the DP ρ2 in the dissolved state can be estimated for dioxane at room temperature.
From Figure 12, we also observe a qualitative agreement of the approximation with the numerical solution of the original system.
The energy of the residual error of this approximation with NNMF was 13.3% of the energy of the data matrix (see Methods section).
