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From this point of view, a quality measure of reduction for ILS problems should emphasize the relative lengths of the reduced basis instead of their absolute lengths.
In other words, a good quality measure of reduction should minimize the maximum relative length of the reduced basis vectors for an ILS problem.
From this point of view, a good quality measure of reduction for an ILS problem should minimize the maximum relative length of the reduced basis.
Data suggest that this method provides a more accurate measure of reduction intensity than previous applications of a unifacial-scraper model.
Since finding λ ( L ) is conjectured to be NP-hard, ℓ(B) of (9b) is more of theoretical value but likely is not a practical quality measure of reduction.
The index provides a reliable absolute measure of reduction under experimental conditions, and does so irrespective of blank cross-section, suggesting that the "flat-flake" problem is not necessarily a serious difficulty for the index.
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Section 3 will focus on quality measures of reduction of lattice vectors.
We will now compare all the five basis reduction methods, namely, LLL, DEEP, SLLL, VLLL, and PLLL, based on the 10, 000 randomly simulated examples and in terms of the six quality measures of reduction discussed in Section 3.
The measures of reduction of greenhouse gas emissions affect all economic sectors, but, due to its relevant emission levels, the electricity sector plays an important role in this strategy [1, 2, 3].
The five reduction methods have been extensively compared on the basis of six quality measures of reduction, namely, the orthogonality defect, the minimum angle, the Hermite factor, the length of the shortest reduced vector, the maximum length ratio, and the condition number of the reduced basis.
We conduct a large scale of experiments to comprehensively evaluate and compare five reduction methods for decorrelating ILS problems, including the LLL algorithm, its variant with deep insertions and our improved LLL algorithm with fixed complexity, based on six quality measures of reduction.
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