Sentence examples for bounds applied from inspiring English sources
The representation of the problem as well as the bounds applied are described.
At present, inequalities in the problem are converted to equalities with the addition of slack variables, and subsequently solved as such, with bounds applied on the slack variables.
To strategically search the tree, we use an optimization algorithm called Upper Confidence Bounds Applied to Trees (UCT) [11], [12].
These bounds apply for two cost measures.
Even more stringent bounds apply in some cases if we additionally require a certain amount of sensitivity to initial conditions.
Capacity bounds apply to the number of connected substructures emanating from the depot, the number of customers in each of these so-called ring trees, and in each tree of the forest.
The proposed bounds apply to arbitrary number of antennas, CCI, and feedback delay at any SIR. Moreover, they involve only standard mathematical functions and therefore can be easily and efficiently evaluated.
These runs made it clear that the road was in possible danger at the TADRs of that date (10.1 and 21.5 m3/s, at 09 40 on 19 May), especially if the upper bound applied.
Since is bounded, applying Lemma 3.2 and (3.54), we have (3.55).
Assume that is bounded, applying a similar argument to that used in Step 2 of Case 1, after taking a subsequence and relabeling if necessary, it follows that (3.19).
Since S is convex, closed, and bounded, applying Tikhonov-Schauder's fixed theorem, we find that N has a fixed point in S. Then by the definition of N, we obtain x=Nx=A(Nx Bx=AxBx.
