Sentence examples for same set of constraints from inspiring English sources

The first and fourth constraints form the same set of constraints in (7) and correspond to the constraints π ( t ) ∈ Π ( t ∈ T ) in (9).

Problem 3.1 [19] (DListColor Problem) Given a graph G = (V, E, L) and a positive integer B, is there a solution with the same set of constraints as in (3.2)?

where the optimization variables are W n,μ mn,ν nk,s mn,I nk for all n, m ∈ N, k ∈ K. Clearly, Problem (22) is feasible if and only if Problem (23) is feasible (because they have the same set of constraints).

While both Clinton and Trump face the same set of constraints, how they choose to tackle these challenges is sure to have long lasting implications.

Here, the lower and the upper admissible bounds for all fluxes, which have neither been measured nor have associated knockouts, are obtained through the application of an optimization-based method that maximizes/minimizes the flux of interest under the same set of constraints.

These rules reduced the number of independent connections to 9, creating a total model space of 512 DCM models per participant, each modeling a different combination of connections between sources mediating trial-specific effects (using the same set of constraints, a DCM model with 8 nodes would have 15 independent connections, and a total model space of 32 768 DCM models per participant).

Our algorithms can construct n DNA words of shorter length (e.g., 2.1logn+6.28k) and can satisfy the same sets of constraints as the words constructed by the algorithms of Kao et al.. Furthermore, we extend these new algorithms to construct words that satisfy a larger set of constraints for which the algorithms of Kao et al.

Healthy diets were defined by the fulfillment of a set of a forty nutrient constraints, and unhealthy diets by the nonfulfillment of the same set of nutrient constraints.

For fair comparison, the proposed fractional order proportional integral (FOPI), fractional order [proportional integral] (FO[PI]) and the traditional integer order PID (IOPID) controllers are all designed following the same set of the imposed tuning constraints, which can guarantee the desired control performance and the robustness of the designed controllers to the loop gain variations.

Certain classes of these non-binary constraints are "network decomposable" as they can be represented by binary constraints on the same set of variables.

Most of the biological datasets include various types of interactions (i.e. constraints) over the same set of entities.