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Quantitative 3D evaluation was carried out using the voxel-based software algorithms 3D-RRD (Three Dimensional Relative Radius Distribution) [ 43] and eADS (enhanced absolute 3D distances to surfaces) Significant differences (P = 0.05) between radial probe distributions were determined using the Mann-Whitney rank sum test (U-test).
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f ℓ 1 ⋯ ℓ k is then the k-dimensional relative frequency for the treated.
A model is proposed to investigate the contact kinematics of a frictional constraint experiencing two-dimensional relative motion.
Thus, the resolution of the stress inversion reduces with depth, and therefore, a two-dimensional relative deviatoric stress field has been assumed in this analysis.
The DLFT method is validated for a beam in contact with a flexible dry friction element connected to ground, for frictional constraints that feature two-dimensional relative motion.
In this study, analytical criteria are developed to determine the transitions between stick and slip which characterize how the friction force relates to the two-dimensional relative motion.
These tests involved the diffusion of potassium iodide into a single edge of each brine-saturated rock slab, while X-ray absorption imaging was used to measure the two-dimensional relative concentration distribution at different times during the experiment.
Partial warps, which correspond to deformations in shape from the consensus, were calculated and displayed as two-dimensional relative warps (RWs) for interpretation.
Such an analysis returns two-dimensional relative warp (RW) values that represent the direction and magnitude of deviations from the consensus form.
Hence, by incorporating d 1 in addition to d0 a multi-dimensional relative treatment effect is used rather than single parameter for the relative treatment effect.
The vulnerability cube methodology also allows the practitioner to access the information at two levels of complexity in the output (the one-dimensional relative ranking score and the three dimensional vulnerability cube), as the two different types of output may be useful for different aspects of decision-making.
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CEO of Professional Science Editing for Scientists @ prosciediting.com