i:x̄i∈Cj (1− yi) ≥ zj for all j 0 ≤ yi ≤ 1 for all i 0 ≤ zj ≤ 1 for all j. We were investigating how well the algorithm does, that sets xi to true with probability yi, independently of the other xi’s, where y is an optimal solution to the lp-relaxation. Without loss of generality, consider the clause Cj = (x1 ∨ x2 ∨ · · · ∨ xk): P (Cj is not satisfied) = P ( x1, x2, . . . , xk are not satisfied)...

We reviewed five studies that relied on the same methodologies to determine the prevalence ofPhonological, Surface and Double-Deficit-Subtypes in developmental dyslexia. The proportion ofthese subtypes was found to vary according to the method (classical method or regressionmethod), the measure (accuracy or processing time), the dyslexics’ language (English or French)and their c...

We will look at a greedy algorithm for the uncapacitated facility location problem. It has a similar flavor to the approximation algorithm for set cover, in that it uses the method of dual fitting. The greedy approach yields some of the strongest results for the facility location problem. The algorithm presented here has an approximation factor of 1.61 and is due to Jain et al. [1]. The best kn...

A spreading metric on the graph G for a given MLA problem instance is an assignment, δ : E → Q, of lengths to the edges of the graph that has the following properties: • The volume of a spreading metric, ∑ (i,j)∈E δi,jwi,j, of graph G in the MLA problem instance provides a lower bound on the value of the optimal solution of the MLA problem. • It “spreads apart” (w.r.t. metric lengths) the nontr...