Sentence examples for of the integrality from inspiring English sources

Equation (12) has the role of the integrality constraint.

However, it is still non-trivial to solve the above integer program (IP) because of the integrality constraints.

However, the resulting model is still computationally intractable because of the integrality restrictions and large size of the model.

We present and compare mathematical programming formulations for this problem and we study different relaxations: Lagrangean relaxations, linear programming relaxations, and partial relaxations of the integrality constraints.

The following Lemma leverages this insight for enhancing the ILP performance by removing some of the integrality constraints.

The counterexamples by Claire Voisin were based on topological ideas, namely on the integrality of some multilinear algebra structures on the cohomology of projective varieties.

If ∑ s ∈ Ŝ z ij s = 0, then constraint (5) (respectively constraint (6)) reduces to + x i s 2 − x j s 2 ≤ 2 (respectively − x i s 2 + x j s 2 ≤ 2 ), which is trivially valid due to the integrality of variables x i s.

In this article, we introduce two recent results with respect to the integrality and exact solutions of the Fisher type equations and their applications.

In this article, we survey two recent results with respect to the integrality and exact solutions of the Fisher type equations and their applications.

According to the result of Swamy and Kumar [42], the integrality gap of the LP-relaxation of (CUT R ) is not greater than 8.55, if c is a metric, and core costs are M times more expensive than the assignment costs (M ≥ 1 ).

This system has an infinite number of conservation laws, has a Lax representation, and is a member of KP hierarchy [24, 25], which indicates the integrality of this system.