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The tree was constructed based on the ward's minimum variance distance (MSw: mean squared distance within).
In cases where there are several designs with similar properties, the designs with minimum mean squared distance are determined.
Moreover, Table 5 shows the corresponding maximum mean squared distance of the representations in each cluster from the corresponding cluster centre.
Given a dataset of size n, grouped into K clusters, such methods have usually the goal to find the K centers of the clusters which minimize the mean squared distance between the data and their closest centers.
It is proved by analyzing the mean squared distance of the trellis coded CPM ST modulated signal, in a Rayleigh flat fading spatial diversity channel with independent coefficients, such that the distance evaluation depends on both the modulator trellis and the distance evaluation trellis.
To quantitate the flexibility of ligand binding sites, the crystal structures for each target were superimposed using Chimera [42], and root mean squared distance (RMSD) values were calculated for each binding site residue or a combination of several binding site residues.
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The correlation between the mean squared distances of the representative conformer and the whole conformers, shown in the seventh column.
Finally, we measure the 'tightness' of the clusters produced by different methods using the within-cluster mean squared distances.
Specifically, PCA finds the orthogonal linear projection that minimizes the mean squared distances from the data points to their low-dimensional projections [ 26].
Mean squared distances (MSD) among the centroids of the sets in the three-dimensional principal components analysis (PCA) projection have been reported to evaluate the distance between the producer and the control strain with the lipid standards for the range 1,500 and 1,350 cm-1.
Mean squared distances (MSD) among the centroids of the sets in the three-dimensional principal components analysis (PCA) projection have been reported to evaluate the distance between the producer and the control strain with the lipid standards for the range 3,050 to 2,800 cm-1.
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