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The only difference is that the assessment has been refined by using several sub-stages in order to register the transitions between full wakefulness (sleep stage 0) and decreased alertness (sleep stage 1).
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The above Hao Z-C inequality is refined by using Corollary 2.7 as follows: Theorem 3.1.
For getting a more accurate transmission map, it is refined by using a guided image filtering.
In the Akatsuki Level-3 data, spacecraft navigation data are refined by using a limb-fitting technique (Ogohara et al. 2012).
Next, model-derived short-term solar irradiance forecasts from the WRF outputs were refined by using an artificial neural networks (ANNs) technique.
The T-spline control points are initialized from their correspondences in the B-spline patches, which are refined by using a conjugate gradient method.
The system engineering argument can be refined by using behavioral models of desired composite system behavior, of the system under development (SuD), and of its environment.
Daily post-processing allows the spectral analysis to be refined by using the actual plume height and direction through triangulation of simultaneous scans from the three stations, and by taking into account wind speed data.
In [4, 5], (1.1) is refined by using the so-called Hermite-Hadamard inequality: g ( a + b 2 ) ≤ 1 b − a ∫ a b g ( t ) d t ≤ g ( a ) + g ( b ) 2, where g is a convex function on [ a, b ].
The model was based on physical and geometrical assumptions and it was refined by using experimental observations derived from modal testing of boring bars with different geometries and made of different materials, i.e. alloy steel and high-damping carbide.
The explicit predictions of the optimum window sizes given in this paper may therefore be too small, and should be refined by using model scale tests that allow window dimensions to be varied from their predicted optimal values to incorporate the effects of flow separation.
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