Sentence examples for achieve an approximation from inspiring English sources

We construct a family of examples such that the standard LP relaxation has an extreme-point solution with infinity norm ≤Θ(1)/√k, thus showing that the standard iterative rounding method cannot achieve an approximation guarantee better than Ω √k).

The bounding rational cubics can achieve an approximation order of 7 and the corresponding convergence rate for finding a single root is also 7. In addition, differently from the traditional cubic clipping method solving the two bounding polynomials in O(n2), the new method directly constructs the two rational cubics in O(n) which can be used for bounding f(t) in many cases.

Their algorithms achieve an approximation ratio of O ( ( Δ 2 + 1 ) T ) and 24T+1, respectively, where Δ is the maximum degree, and T denotes the number of time slots in a scheduling period.

The result of their work is twofold: on the one hand, they achieve an approximation order (0(h^5)) for the left method, on the other hand, they achieve another approximation of the order of (0(h^6)) for the right method.

In any case, finding this association between real knowledge and the absence/presence of IA supports the notion that the questionnaire used in the study was able to achieve an approximation of what it was designed to measure (real contraceptive knowledge), because if it had not, it is very unlikely that this significant association would have been apparent.

It follows that research will only achieve an approximation to the truth of disease.

An O(n3 -time polyn3 -timepolynomialon approximationt algorithman approximathat rachieves8/13 han been developed [3].

The first algorithm is deterministic and achieves an approximation factor of O logN), where N is the number of nodes in the network, while the second algorithm is randomized and achieves an approximation factor of ee−1.

Our algorithm achieves an approximation guarantee of factor 2Hk, where k is the largest requirement and Hn=1+12+⋯+1n.

Our analysis shows that the complexity of LUUF is O(nlogn) and it achieves an approximation ratio of F′/Fmax.

This is an improvement over the currently best known approximation algorithm for the classical Steiner tree problem which achieves an approximation ratio of 1+ln(3)/2≈1+ln.