Sentence examples for approximation is often not from inspiring English sources
As the accuracy of the simplified Laplace approximation is often not sufficient for the computation of predictive measures [ 52], the full Laplace approximation was chosen in the following application, in combination with the so-called GRID integration strategy for numerically exploring the approximative posterior marginal densities (for more details concerning this issue see [ 37]).
Since gene expression data is often not available, approximations of intrinsic subtypes based on routinely available tests have been proposed.
This approximation is often utilized in image processing and does not impact significantly the final results.
Further improvement might be obtained from iteratively generated balanced winds [ Randel, 1987], but the nonlinear balance approximation was often found not to converge [ Boville, 1987; Verkhoglyadova et al., 2014].
However, given that these mechanisms are often not known, the modeling approach constitutes an approximation to the understanding of a complex dynamic system based on available information and informed hypothesis.
However the t-test for unequal variances was used, as the variances of the two subgroups examined were often not homogeneous when checked with one-way ANOVA, and the Welch's approximation of the degrees of freedom was produced.
As a result approximations are often necessary.
Because pi is irrational (not equal to the ratio of any two whole numbers), its digits do not repeat, and an approximation such as 22/7 is often used for everyday calculations.
Gabelfrühstück (GAH-bel-froosh-took is a close approximation) is not so insubstantial.
However, this approximation is not always valid.
