Given the number of described subspecies, it is unsurprising that the species' plumage is highly variable, but this tinamou is always separable from the similar but larger Ornate Tinamou (Nothoprocta ornata) by the presence of spotting on the breast and head sides.
Although crowding and ensemble perception are dissociable processes that do not fully covary in the context of these findings, this does not imply that they are always completely separable processes (i.e., some aspects of crowding may, in fact, overlap with those of ensemble perception).
As a consequence, we obtain that the Szlenk index and the convex Szlenk index of a separable Banach space are always equal.
It was found unnecessary to test the Gaussian SVM on the one-vs-one scenario, as the application of the Ho-Kashyap algorithm revealed that the training sets were always linearly separable in this case; the corresponding entries are indicated with an asterisk.
As the data is not always separable linearly, the soft margin method is proposed as a modified maximum margin idea that allows for mislabeled examples, i.e., it allows some of the training set data points to be misclassified.
Also, activities are often boosted in case of cooperative multi-agent tasks, even if creativity is not always separable and recognizable as a single-agent feature.
*It was unnecessary to apply the Gaussian SVM to the one-vs-one case because the training sets were always found to be linearly separable using Ho-Kashyap.
In the sequel, Ω will be always a complete measure space and X be always a complete separable metric space.
This paper proposes a technique for designing separable-denominator variable two-dimensional (2-D) digital filters having variable magnitude characteristics, and the stability of the designed variable recursive 2-D filters is always guaranteed.
