Sentence examples for approximated up to 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.
Hybrid Partitioning Schemes (HPS) and Fixed Partitioning Schemes (FPS) [13] can be considered as a base of reference for comparison because their operation can be approximated, up to some point, with the currently available in the market router and femtocell combinations.
Using bisectioning, the (possibly non-convex) solution set can be approximated up to a chosen accuracy.
Instead, we require to approximate the best approximation up to a positive number, such that the sequence is summable.
The method of multiple time scale perturbation is applied to solve the nonlinear differential equations and obtain approximate solutions up to the third order approximations.
However, the observed responses were better approximated by CA, up to concentrations equivalent to the sum of the estimated thresholds for all single components.
It is shown that it can be maintained under approximate sampling up to the order of the system itself.
The Arabic and the Latin run parallel, in an approximate way, up to gigglimus and thereafter the Hebrew follows the Greek but the Arabic diverges and becomes unintelligible.
