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Principal Component Analysis is a very popular mathematical technique, most commonly used to reduce the dimensionality of an analyzed dataset.
Therefore, the conclusions extracted from the application of the Student's method depend on the analyzed dataset, whereas the predictive method might be less dependent on the dataset composition if the models are applied within their applicability domain.
But in the end, it would seem that the wavelet family is specifically related to the analyzed dataset because certain authors have systematically chosen different wavelet families for underwater signal analyses.
Despite these limitations, due to the size of analyzed dataset, we believe our conclusions regarding emotion and sentiment differences between military and control populations, ILI-Affect correlations, and cross-correlations are accurate.
After decompositions, we can use the cost function-searching algorithm to find the best basis set ( left{{D}_l^{ k)}right} ) among all the possible basis sets, which can represent the spatial and frequency domain information of the analyzed dataset more effectively than all other basis sets.
For any analyzed dataset, there is a basis set (the best basis set) that can best represent the spatial and frequency domain information in the dataset, and the corresponding "best" multiwavelet packet transform provides the most effective representation of the dataset (denoted as MWPT at below).
Using the RP will therefore provide rapid and reliable information about potential functions and likely taxonomic distributions found within the analyzed dataset.
Second, we analyzed dataset D4 (Table 2) that included the pattern found in dataset D2 as well as a second pattern, thus simulating etiologic heterogeneity.
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The decompositions obtained by the two analyzed datasets are practically the same.
Such ICR/C-R sequences are common in the analyzed datasets.
The analyzed datasets provide new insights on the dynamics of interdependent human interactions with shading and electric lighting systems.
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CEO of Professional Science Editing for Scientists @ prosciediting.com