Sentence examples for are distinguished using the from inspiring English sources

Items related to Theorem 4.1 (4.2) are distinguished using the abbreviation UPC LPCC) for upper (lower) conditional product copula inequalities unless quantities involving c± are used.

The smooth and discontinuous solution regions are distinguished using the multi-resolution procedure of Harten [J. Comput. Phys. 115 (1994) 319 338].

The smooth and discontinuous solution regions are distinguished using the multi-resolution procedure of Harten [A. Harten, Adaptive multiresolution schemes for shock computations, J. Comput. Phys. 115 (1994) 319 338].

The bulk phases are distinguished using the Volume-of-Fluid (VOF) method and the motion of the fluid interface is captured by a state-of-the-art compressive VOF method.

A single fluid formalism using the volume-of-fluid approach is adopted to handle multiple immiscible fluids which are distinguished using the volume fractions, while the rigid bodies are tracked using an analogous volume-of-solid approach that solves for the solid fractions.

Indices for which significant results were found were also investigated using post-hoc Wilcoxon signed rank sum tests to assess whether all three locomotor types are distinguished using the predictor indices.

Thus, the information can be distinguished using the labeling.

Nonetheless, the long and medium grain market classes could still be distinguished using the C6AIR.

Because the pore and throat can be distinguished using the constant rate mercury intrusion technique, the pore mercury saturation and throat mercury saturation can be determined, respectively.

If two persons breathe with almost the same frequency at different distances from the radar, two targets can be distinguished using the distance information.

The different binding abilities between CN− and F− in aqueous solution were distinguished using the potential energy calculations in consideration of hydrogen bonding interactions.