Sentence examples for although the constraint from inspiring English sources

Although the constraint satisfaction problem is NP-complete in general, a number of constraint classes have been identified for which some fixed level of local consistency is sufficient to ensure global consistency.

It should be noted that although the constraint parameter was invoked for the trees MrBayes3.1 overrides any constraint if the data do not support it.

On the basis of the results obtained from our analyses, we suggest the existence of translational constraint on the positions of mt-tRNA genes, but not on their gene copy numbers, in the vertebrate mt-genomes, although the constraint may be weak.

Although the constraints have loosened, the Liberal Democratic Party has been weakened by a decade of economic decline as severe as any advanced nation has experienced since the Great Depression.

Although the constraints of today's classrooms can make it challenging, here are some research-based tips for injecting more flow into education.

Although the constraints impeding the implementation of multiple use of forests differ little from the constraints in plans that only include timber, the required trade-offs in the former are expected to be more problematic.

Although the constraints placed by HIV genetic variation on vaccine efficacy remain unclear, there is an indication that they may be important and several candidate vaccines targeting HIV-1C are currently under investigation in both pre-clinical and clinical settings.

However, although the constraints are linear, the throughput is non-convex with respect to the power vector thus and hard to find the optimal solution.

Although the constraints on black holes in the LIGO-sensitive mass range looked suggestive, an analysis of supernovae given the LIGO results showed that no more than about a third of the dark matter could be in the form of primordial black holes in this range.

Considering the far field patterns in Fig. 4 and the optimization model in Eq. (7), it can be seen that although the constraints of the other electromagnetic performance such as sidelobe levels and cross-polarization are not added in the optimization model, the simulation result in Fig. 4 shows very satisfactory far field patterns in sidelobes and cross-polarization pattern.

For any given β, η d,SE is a concave and strictly increasing function of P s and P d for P s, P d  ∈ [0, + ∞). Refer to Appendix 2. Although the constraints in the subproblem (P2-1) are convex according to Theorem 2, the objective function is still nonconvex.