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In the latter case, the no-pseudoknots condition is the same approximation that is also made when folding individual molecules.
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Then, following the same approximations that led to Equation (8), (14) where C i is the proportionality constant such that ∑ j ′=1 m π ij ′=1.
We believe that the same approximation between presentations and generating functions as done in this paper can also be applied to some other special cases of groups and monoids other than Z n ⋊ θ 1 Z and Z 2 ⋊ θ 2 Z.
Based on the same approximation used previously, we can note that Gammaleft(1+frac{k_{i}}{beta}right) sim left(1+Psi(1)frac{k_{i}}{beta}right) (27).
The same approximation applies to hearing voices (or is that the brain, not the ears?) being at a hearing, to hear from someone (by letter or email), or indeed the phrase "Hear!
Theoretical analysis proves that the scheme has the same approximation ratio and complexity as the previous best algorithm for the MLBSDC problem.
We note that Brisson et al. (2000) used the same approximation.
Theoretical analysis and the experimental results showed that the new algorithm requires considerably less geometric data at the same approximation error than the traditional one.
We define the notion of "well-behaved" algorithms and show that well-behaved approximation algorithms for one, two and higher dimensional bin packing problems can be translated to approximation algorithms for cutting stock problems with the same approximation ratios.
Numerical results show that the proposed algorithm requires much less computational time to obtain an approximation optimized solution of problem (P) with the same approximation error than the approaches (given by [19, 21]) do.
Issue 3 (the first digit of pi and the approximation that appears in the Old Testament) is appropriately outtoday.
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