The phrase "approximated within" is correct and usable in written English.
It can be used when discussing estimates or measurements that fall within a certain range or limit.
Example: "The results of the experiment were approximated within a margin of error of 5%."
Alternatives: "estimated within" or "calculated within".
In New York, he checked into a small hotel that approximated, within the limits of architecture and the difficulty of finding good help these days, a grand house of the nineteenth century.
Corollary 6 gives a lower bound on Theoremroximation ratio of any polynomial time approximation algorithm for MWKVMP or MKVMP.
The braided architecture can thus be approximated within the analytical model.
The next result we have is opposite in followingt shows that there exists a polynomial time algorithm for MWKVMP whose approximation ratio is no worse than.
SpecInically, thisverticesectionlaced on a plane, twe verticeshowe connecthatif and only if their distance is no greater than, and also interfere with each other if and only if their distance is no greater than.
We show that for, the resulting problems are NP-Hard that cannot be approximated within a factor that grows polynomially with the number of nodes.
Log-linear models introduce bias terms that can be approximated using within-group variances (appendix 2).
This method approximates the within-study variability of the proportion by a normal distribution, which may lead to bias for several reasons.
Our main result is that even a very special case of this problem cannot be approximated to within a factor 2log1−ε|D| if D is the set of demands.
As shown by Mittal and Schulz [20], the optimum value of problem (P) cannot be approximated to within any factor unless (mathit{NP}=P).
As shown by Mittal and Schulz [9], the optimum value of problem (P) cannot be approximated to within any factor unless (mathrm{P}=mathrm{NP}).
