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The orientations were rotated such for each trial, that the first orientation accounted for a maximum of the signal.
For example, the first orientation question ″What is the year?″ was assigned to both CAM Feature 2, Inattention and CAM Feature 3, Disorganized thinking.
To obtain the first orientation for analysis, we first extracted E. coli 7α-HSD from the PDB (file: 1FMC).
Far more twins are produced for the second orientation of the indenter than for the first.
In both systems, the allowed orientations for the skeletal bonds are cis (φ=0) and trans (φ=180) with a slight preference for this second orientation.
The model is validated by comparing numerical single crystal tension tests for a third orientation to the equivalent experimental data from the literature.
Honeycomb lattice structure had the highest density efficiency for energy absorption in both orientations and for first maximum compressive strength in the second orientation.
This trend is not as clear for the more rotation invariant descriptors, for which a third and fourth orientation only improves the classification accuracies slightly.
When the recorded cluster had well-isolated units that preferred an orientation other than the preferred orientation for the target unit, this process was repeated for a second, and rarely a third, orientation as well.
In the second way, evolution equation for second-order orientation tensor, which represents the second statistical moment of ODF, is solved instead.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com