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The superreplication problem is namely solved in a more satisfactory way in the G-framework.
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It should be pointed out that this improvement was obtained at the expense of more complicated machinery of mathematics, namely solving matrix problems.
Corky's wisecracking distracts from what should be the movie's main concern, namely the solving of a mystery.
Namely, to solve Equation 33 for inpainting step, we use a trace-based method [14], which is explained above.
This paper is focused on the second step in applying this method, namely on solving the singular boundary equation which arises when at the first step an indirect technique with sources distribution is considered.
Because of the similar reason, namely directly solving ( {mathcal{P}}_2 ) by searching for the optimal trigonometric parameters with latter search requires a high complexity burden, now in this subsection, we develop the relevant sequential optimization procedure for such vector system.
Hierarchical linear regressions were performed to investigate relationships between demographic/amputation-related variables (i.e. age, time since amputation, amputation level and amputation aetiology), the dimensions of coping (namely problem solving, seeking social support and avoidance) and self-reported adaptation to amputation, as well as symptoms of intrusion, anxiety and depression.
Two basic examples are solved, namely the circular cylindrical cavity under sudden internal explosion and under a pressure wave sweep.
In this work, we identify the major problems to be solved, namely 1) emulate floating point (and matrix) operation with integer ones, 2) avoid synchronous standard operation to prioritize message transmission and reception, 3) provide a safe acknowledgement mechanism and 4) prevent a poor initialization of the algorithm.
In this respect, a key issue has to be solved, namely, when is the scientific evidence for a biomarker sufficiently solid for translation into patient benefits, and if so at which point in time should be decided to act or not to act?
We additionally show that W-MTO is fixed-parameter tractable with respect to the parameter q v which is the maximum number of cross pairs over any vertex; namely, it can be solved in O (2 q v ⋅ n 2 ⋅ q v ) time.
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