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The problem remains that we now need to close the infinite hierarchy of evolution equations of the alignment tensors.
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For the sake of simplicity, we still use bulk equations of the optical momentum alignment effect in the following simulations.
We revisited the continuum dislocation dynamics (CDD) theory which describes conservative motion of dislocations in terms of series of hierarchical evolution equations of dislocation alignment tensors.
The first term of Equation (10) contributes to the robustness against the alignment errors, and the second term improves the probability distribution by the covariance information on each column of the alignment.
FA (r) was calculated according to the following equation: The correct alignment of the polarizers was verified using a diluted colloidal silica suspension (r ≥ 0.97).
eMFE of the alignments.
Write the equation of the perpendicular bisector.
The variation of λ with the alignment score [Equation (1)] for gapped alignments has been described before (Altschul et al., 2001).
Another part of the equation for achieving alignment is accountability.
One is the alignment of planets.
And there is the alignment of your skeleton.
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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