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To assess the line-circle vector against natural patterns of shape covariation, I compared scores along this vector to scores along a circularity axis from an empirical morphospace, generated through CPES analysis (Macleod, 1995) of the fern leaf sample.
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Intuitively, based on the projection of this vector along the three axes (x, y and z), the three scores along orthogonal directions are combined using: where is the orientation vector of the sub-volume.
As known from previous analysis, this vector is directed along the central axis of the cylindrical structure (Figure 4).
This vector field is conjugate via the tonotopic axis to an affine vector field along the x-axis.
Transects conducted at Ningaloo Reef at the second survey time clustered along the vector for dead Acropora.
We call the nonautonomous Dini sup-derivative of at along the vector.
Unit cells of K-phase: stoichiometric cell and modified unit cell of K-phase shifted along the vector.
I have more of an attachment to Aperture than to iTunes, but if Aperture 4 continues along the vector indicated by Aperture 3, you can consider me a Lightroom conversion.
We seeded a path for every orientation density function (odf) max vector at every voxel, extending the path along the vector of least curvature in a new voxel, and stopping the process if this curvature ≥35°.
The entorhinal cortex encodes the distance along the vector when the goal is set.
The common starting point in the center represents the expiration, the movement along the vector the change in inspiration.
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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