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These systems select the pixels of their input image with the coordinates belonging to the correspondent mask.
At a particular resolution level (airport or county) we will consider that the user makes a trip when two consecutive pictures have coordinates belonging to different basins.
To examine correlated motions between different segments of the protein, we calculated the correlation matrix of the coordinates belonging to all C α atoms along the trajectory.
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In S we single out the sequences s ≠ 0 all of whose coordinates belong to some (complex) line L, and call the lines Lasymptotes of S. It is clear that the union of all the asymptotes is an analytic (or Suslin) set in X, and our main result is the converse.
We extracted values for the 10 bioclimatic variables used in the full niche model for each unique coordinate belonging to K1, K2, and K3 (making the assumption that ungenotyped localities in the vicinity of genotyped localities belonged to the same genetic cluster).
Each manifold is equipped with a family of local coordinate systems that are related to each other by coordinate transformations belonging to a specified class.
When performing factor analysis on the standardized variables, factor loadings received are correlation coefficients between the original variables and, after rotation, the coordinate values belonging to the turned axes (namely, factor values).
The reduce function updates the cluster centroid coordinate by calculating the average of all points coordinates that belong to it.
EM computes the mean, variance, and the correlation of the and coordinates that belong to the eye.
Let (mathbf u_c = (u_c, v_c)) be image coordinates that belong to quadrangle line segments shown in Fig. 3 (4).
That is the reason why, each functional image is processed by means of 3D v × v × v cubic voxels defining ROIs, or block x,y,z) centered in (x,y,z) coordinates which belong to vaf x,y,z).
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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