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Based on Lemma 2, the number of the equality constraints is reduced from (N+2) to (N+1).
In each of these sub-problems, the number of constraints is reduced and an appropriate rule is selected and applied.
It translated into an ease of administrative procedures, an increase of projects pre-financing and a decrease of national co-funding share, allowing countries to increase up-front spending as the pressure on national budget constraints is reduced.
In this way the complexity originating from physical constraints is reduced substantially, simplifying the management of these optical networks and the physical parameters which will be implemented in the routing protocols.
First, it is shown that an example of MPC with one-side input constraints is reduced into the Linear Complementarity (LC) Problem with M-matrix, which can be more efficiently solved by the existing special algorithm than the other general algorithms such as the Lemke method.
The ω estimates vary among sites for each gene; however, in general the fraction of sites with low ω estimates, indicative of strong selective constraints, is reduced for UCP1 relative to UCP2 and UCP3.
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Then, the per-sector power constraints are reduced to per-subchannel power constraints with a constraint value Pmax/N, and the joint scheduling and power allocation problems are decoupled on each subchannel.
Rupture velocity and maximum slip were left relatively unconstrained (Vr = 1.25 3.25 km/s; maximum slip = 100 m), and moment minimization constraints were reduced, such that moment is controlled by the inverted data rather than by an assumed initial condition.
Several major city taxi groups have since agreed to welcome Uber to the market if their bureaucratic constraints are reduced.
(Int. 30; GP) Practitioners who took part in the trial also reported that their concerns relating to time constraints were reduced once they had started using the test and were clearer on what to do.
Using Semi-Definite Programming (SDP) duality, the ARE constraint is reduced into equivalent Bilinear Matrix Inequality (BMI) constraints.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com