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In a final step, embedded coordinates are cleaned up using a crude force field and the bound matrix [23].
One way to visualize the Southern Women dataset is to use MDS to place the 18 women at suitable 2-D locations, where distance between embedded coordinates reflects the degree to which the women attended similar events, as in Figure 1-top left.
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As such, an embedded coordinate system was defined, and its relationship to the segment during dynamic motion remained unchanged.
You can see any embedded GPS coordinates by right-clicking the image and clicking the Details tab in the Properties box, or with a program that displays EXIF data like Preview on Mac OS X.
Because the proposed algorithm can accurately obtain the position of acoustic emission source, combined with the embedded sensor coordinates and acoustic wave propagation speed.
Finally, we minimize a weighted stress function to obtain a BiFold embedding, coordinates in (mathbb{R}^{d}) for each row and each column of the data matrix.
In order to identify the meta-stable states of the random process manifested by ({mathbf {x}_{ell }}_{ell =1}^{L}), we quantize the embedding coordinates ({bar {mathbf {x}}_{ell }}_{ell =1}^{L}) into S meta-states, denoted as ({s^{i}}_{i=1}^{S}), using the K-means algorithm.
In order to identify the meta-stable states of the random process manifested by ({mathbf {u}_{ell }}_{ell =1}^{M}), we quantize the embedding coordinates ({bar {mathbf {u}}_{ell }}_{ell =1}^{M}) into S a =S b =S meta-states, denoted ({s^{i,a}}_{i=1}^{S}), using the K-means algorithm.
This is because these methods include the eigen-decomposition to compute the explicit embedding coordinates and then compute the global geometric distance.
It computes the k nearest neighbours of each data point in D-dimension at first, and then generates a weight matrix that best reconstructs each data point from its neighbours, and finally computes the d dimensional embedding coordinates that reconstructed by the weight matrix.
Methods and results: An analysis of the types of constructs that describe the allocation of intervention arms is conducted, revealing that the compared interventions are predominantly embedded in coordinating constructions.
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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