Sentence examples for approximated within a from inspiring English sources
It has been long known that the problem can be approximated within a factor of H k)="∑i= 1k(1/i) by the greedy heuristic, but no better bound has been shown except for the case of unweighted subsets.
Finding the minimum number of mobile sensor nodes with a uniform speed to guarantee sweep coverage is NP-hard and it cannot be approximated within a factor of 2 (Li et al., 2011).
We first prove that the problem cannot be approximated within a factor of O m1−ϵ), for any ϵ>0, unless P= NP and that this result is asymptotically tight.
From a computational complexity point of view, we prove that the variation of this problem in which the sets to be covered are specified in the input is log |T|-approximable (where T denotes the collection of sets to be covered) and it cannot be approximated within a factor smaller than log |T|, unless P=N.
We obtain the following results: (1) this problem is NP-hard in a strong sense, and it cannot be approximated within a factor 32−ε in polynomial time for any ε>0; (2) we design three approximation algorithms with different constant factors for this problem; (3) for the version where all intervals have the same weights, we design an optimal algorithm to solve the problem in linear time.
Corollary 6 gives a lower bound on Theoremroximation ratio of any polynomial time approximation algorithm for MWKVMP or MKVMP.
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.
The braided architecture can thus be approximated within the analytical model.
The control variables are then approximated within each interval by means of low order polynomials.
Theorem 1 Minimum Test Collection (MTC) cannot be approximated within (1 - ε) log p for any ε > 0 even when restricted to standard instances.
Theorem 2 The String Barcoding (SBC) problem cannot be approximated within (1 - ε) log n for any ε > 0. This negative result holds already for binary alphabets.
