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In the original implementation, Ballester and Richards [22] had used the first three moments yielding a 12-valued descriptor.
In the original implementation of the USR, similarities between the structures being compared is then calculated based on DM with the score (range 0-1) given by (6).
In the original implementation of the method this step was executed by solving an over-determined linear system via the singular-value decomposition.
The modification to incorporate multiphase conditions is achieved by substituting the mixture fraction variable as representation of the composition in the original implementation of the turbulent flame speed closure model with independent species.
The latter one is calculated from the moments of the distribution of the interatomic distances, and in this work we also included higher moments than in the original implementation.
In the original implementation of the Logan plot, the TAC measured in an ROI over time t, ROI t), is modeled as ROI t) = A t) + V p ∙ C p (t), where V p denotes the volume of plasma in tissue [1].
Similar(42)
We use a slightly simplified version of the algorithm described in [28] but with the exception of a change of the block size from 8×8 to 16×16, all relevant parameters, as well as the unitary transforms in the 3D domain, are chosen in exact agreement with the original implementation of the BM3D filter [29] when using the default profile, i.e., normal profile.
Algorithms are derived from the original implementation in [42].
The current implementation of the ECFP in jCompoundMapper differs slightly from the original implementation.
To this end, PV has 5 baseline results (4 variants discussed in Sect. 3.1 plus the original implementation).
The robustness and efficiency of the proposed approach are examined by applying it to the isotropic material with J2 flow plasticity and comparing the performance and the analysis results with the original implementation in the commercial finite element program ABAQUS.
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