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Both studies, however, rely on cross-sectional data only – with Hirsch et al. ([2012]) utilising the 2008 cross section of the data set used in this study.
For each subsample, a cross section of the data is flagged for use as the validation set, and a new model is created by training on the remaining data which are the training set and not in the subsample.
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In the first step, 3D MR image is roughly registered by a rigid registration algorithm and corrected position, where the 2D image in a predetermined cross section of the volume data is registered to the reference pathological image.
The acoustic impedance volume shown in Fig. 7 is a cross section of the base seismic data with inserted inline number 5506.
In the second step, 3D MR image is precisely registered by a nonrigid registration and the corrected distortion that is not considered in step 1. Displacement vectors are prepared at the nodes arranged on the 3D grid on the rigid-transformed 3D MR image, and the 2D image in a predetermined cross section of the distorted volume data is compared with the reference pathological image.
Previous positive findings were replicated in limited cross-sections of the data, but the overall analyses confirmed these findings to be mere artifacts of restricted comparison conditions.
It is not meant to give a statistically representative cross-section of the data.
We confirmed the presence of aerenchyma by cross section of the main axis of the root (data not shown).
We have chosen to normalise the covariance structure matrix instead of the scale parameter in our work, because of the analogy between the average scale,, and the radar cross section,, of 1-dimensional data (also described in [8]), even though this interpretation is not straight forward for multidimensional data.
However, companies in the processing sector were the most represented with 81.25 % in the program, and their number is large enough in order that the cross section of their common data provides further analyses with statistically reliable results.
But as a public resource containing an amazing cross section of data country by country in the Asia and Pacific region as well as providing the capacity to easily create maps and charts that even a dummy could love, it has become a "tool" that can be adapted to a multitude of specific uses.
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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