The canonical history of mathematics suggests that the late 19th-century "arithmetization" of calculus marked a shift away from spatial-dynamic intuitions, grounding concepts in static, rigorous definitions. Instead, we argue that mathematicians, both historically and currently, rely on dynamic conceptualizations of mathematical concepts like continuity, limits, and functions. In this article, ...

We describe the voice quality classification system that uses entropy and dynamism criteria as discrimination features. The main idea of this approach is that the input neural net is considered as an informational channel. Channel tuned to the certain type of information transmits it best of all according to the informational criterion. In our case a multilayer perceptron (MLP) emitted posterio...

one of the debates concerning concepts of “medial motion” and “traversal motion” is the question of which of these two concepts of motion corresponds to motion in the corporeal world. in the present article we intend to employ the language of mathematics to present a model for each of these two concepts to study the above mentioned problem. as a result, medial motion represents a covering funct...