Sentence examples for constraints provided that from inspiring English sources

The quadratic program has a global minimizer if there exists some feasible vector x satisfying the constraints, provided that f(x) is bounded in constraints on the feasible region; this is true when the matrix C is positive definite.

The main result is that the 0-reachability prediction horizon can always be made stabilizing without any terminal constraints provided that the increasing rate of the penalty is made sufficiently high.

If lung or heart constraints cannot be met, some underdose in the thoracic wall target volume can be accepted to reach the constraints, provided that the quadrant where the primary tumour was localized is adequately covered.

Based on BLF-based backstepping, we show that asymptotic output tracking is achieved without violation of any constraint, provided that the initial states and control parameters are feasible.

This equation yields two positive values for for which the updated precoder in (26) satisfies the power constraint, provided that the step size is chosen sufficiently small (see Appendix B).

Although on-board CPU power is quite limited, it is now possible to implement sophisticated real-time compression techniques, provided that complexity constraints are taken into account at design time.

Over eons, natural selection has struck upon many innovative solutions to work around constraints, providing insights that may not have been gained from first principles.

There however may be other constraints provided by the genotypes that will not be fulfilled by the above optimization formalization.

The ubiquitous presence of cores in absence of accuracy constraints provided insights about objective certainty that may complement the literature on subjective certainty (self-confidence) and the accuracy of judgment.

It is shown that the constraints provided by the laminar flame speeds of the foundation fuels could reduce notably the uncertainties in the predictions of laminar flame speeds of C4 alcohol/air mixtures.

It appears to be obvious that the constraints provided by the femorotibial joint surface are insufficient for functional knee stability, though a combination of resisting structures such as the menisci, the joint capsule, the muscles, and the intra- and extraarticular ligaments account for both functional range of motion and joint stability under loading conditions.