On the other hand, MRRMRR does not bring about benefit to classification methods which are based on one-dimensional principles.
When single neuronal transcriptome were compared with transcriptome of 21 human peripheral blood samples, we found that these two types of samples are clearly distinguished from each other by dimension 1 of the two-dimensional principle component analyses (PCA) (Fig. 2D).
Dendrogram and three-dimensional principle component analysis (3D-PCA) derived from the similarity of the DGGE patterns, based on Dice's coefficient of similarity with the unweighted pair group method with arithmetic averages clustering algorithm, were constructed.
Using three-dimensional principle component analysis, YSTs again formed a separate group from the germinomas and controls, which formed a single group.
These concepts inform about how empirically observed temporal patterns can be mapped on simple low-dimensional control principles.
The procedure extends a one-dimensional equidistribution principle which minimizes the interpolation error in appropriate norms.
Specific specimen geometry and grip connection were designed to meet the requirements of one-dimensional experimental principle in the Hopkinson bar tests.
The formulation is established based on the linear, small-strain, three-dimensional elasticity principle, and thep-Ritz method is employed for computing the solution of the problem.
The idea in extending such a technique to two spatial dimensions is to select two directions which can reflect the physics of the problems, and then the one-dimensional equidistribution principle is applied to the chosen directions.
Although multi-dimensional classification is more complex than a two-dimensional classification, the principles of the two are very similar.
A non-linear dynamic model in [15] is developed for the PEM fuel cells, using electrochemical-thermodynamic and zero-dimensional fluid mechanics principles.
