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Instead of directly discovering a structured process model, we first apply a well-known heuristic that discovers accurate but oftentimes unstructured (and even unsound) process models, and then we transform the resulting process model into a structured (and sound) one.
For the local SURF features, we transform the resulting feature vectors separately into a smaller dimensional subspace of size 50 for every of the six used facial fiducial points before concatenating them to the final feature vector.
However, as we enforce the PSF constraints (positivity and unit volume) after reverting the transform, the resulting set of local PSF estimates are no longer confined to a low-dimensional linear subspace.
Note that for every of the six facial interest points, we transform the resulting SURF descriptors separately into a smaller dimensional subspace before concatenating them to get the final local feature vector.
Using Fourier transform, the resulting plane magneto-electro-elasticity equations are converted analytically into three coupled singular integral equations in which the main unknowns are the normal contact stress, the electric displacement and the magnetic induction.
Using Fourier transform, the resulting plane magnetoelectroelasticity equations are converted analytically into singular integral equations which are solved numerically to yield the crack-tip mode I and II stress intensity factors, the electric displacement intensity factors and the magnetic induction intensity factors.
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The Devils were not a last-place team; they were Jacques Lemaire's demons of the trap, blunting the Rangers' attack in the neutral zone and transforming the resulting turnovers into dangerous chances and goals.
We transformed the resulting high-dimensional feature vectors into a smaller, more discriminating subspace using LPP.
We separately transformed the resulting SURF descriptors into a lower dimensional subspace for every facial fiducial point.
We arcsine-square-root transformed the resulting proportions to normalize their distribution.
To better understand the physiological functions of OsMT2b, we generated an OsMT2b RNAi transgene driven by the cognate promoter of the endogenous OsMT2b gene (Figure 1A) and transformed the resulting pOsMT2b::OsMT2b-RNAi transgene into wild-type rice plants.
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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