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The two constraints are very useful in some situations of engineering applications, such as flank milling impeller blades.
The optimal radius ratio relationship is Rj−1lnRj−1/(RjlnRj) = ri,j/ri,j−1 (j = 1,2,3,…,n) for the two constraints, where ri and R are the internal radius and the radius ratio of the insulation material, respectively.
In upscaling the reservoir sample, the two constraints were imposed.
The basic NMF optimized function ensures that the two constraints A and S are both nonnegatives.
The two constraints ensure the quality of the pixels around the investigated pixel.
The two constraints work similarly in all possible cases so they might be used alternatively.
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The results for weekly dynamic geocentre estimates from the two constraint configurations were benchmarked against the geometric geocentre estimates from the IDS-2 combined solution.
Next, we shall introduce and study a problem where both the two constraint maps and the bifunction depend on parameters.
When the bandwidth and capacity limit are very large, the two constraint conditions in previous optimization problem can be neglected.
We provide sufficient conditions for the existence of a fixed point of T satisfying the two constraint inequalities: (Axpreceq_{1} Bx) and (Cxpreceq_{2} Dx).
For sectional analysis, the six constraints for preventing rigid-body motions and singularity in analysis are obtained naturally and uniquely in this formulation.
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