Sentence examples for approximated up from inspiring English sources

On the other hand, the GREG estimator is not unbiased, but unbiased up to the first order of approximation, its variance is unknown and must be approximated up to the first order approximation (Särndal et al. 1993, Result 6.6.1).

Notably, Longest Path is trivially solvable in linear time on proper interval graphs, and the parameter value k can be approximated up to a factor of 4 in linear time.

By a new integration scheme considered for the obtained meshless weak form, integrands are approximated up to the second order of the Taylor series and the integrals are evaluated on some points, which are located inside the local quadrature domains, called integration points.

A nice feature of the modified Laplacian is that, for graphs which are not too small, it can be approximated (up to constant factors) by the transition matrix (tilde {A}_{x}), obtained by normalizing (tilde {A}) such that the sum of the elements of each row equals one.

Using bisectioning, the (possibly non-convex) solution set can be approximated up to a chosen accuracy.

In terms of BIC ij, the Bayesian information criterion (Schwarz, 1978), the BF can be approximated up to constant factor c i as in this case proportional to the profile likelihood ratio used in the likelihood ratio test statistic since the number of free parameters is the same in each sub-model.

Concentration Addition is either approximated by summing up PEC/PNEC ratios or as sums of toxic units.

Pollen flow between populations is not implicitly considered in the model, though the effects of this can be approximated by scaling up the migration rate.

However, the observed responses were better approximated by CA, up to concentrations equivalent to the sum of the estimated thresholds for all single components.

Thus the average time of reaction, Tavg, can be approximated by summing up the times taken for a successful reaction by the first collision, or that by the second collision and so on.

In this section we will prove that the spike counts of two neurons, approximated by up crossings of a Gaussian process, approach a joint multivariate Gaussian distribution for large bin sizes T. We start by considering the marginal distributions of upcrossing counts.