Introduction to Section of Dynamic Mathematics: SСprt – Elements and Their Applications to Physics
Abstract:
There is a need to develop an instrumental mathematical base for new technologies. The task of the work is to create new approaches for this by introducing new concepts and methods. Our mathematics is unusual for a mathematician, because here the fulcrum is the action, and not the result of the action as in classical mathematics. Therefore, our mathematics is adapted not only to obtain results, but also to directly control actions, which will certainly show its benefits on a fundamentally new type of neural networks with directly parallel calculations, for which it was created. Any action has much greater potential than its result. Significance of the article: in a new qualitatively different approach to the study of complex processes through new mathematical hierarchical parallel fuzzy dynamic structures, in particular those processes that are dealt with by Synergetics An example of studying complex processes is quantum mechanics. It studies them through randomness (probability), i.e., it obtains some certainty through uncertainty. Our approach to studying complex processes concerning hyperfine energies is in classifying the principles of functioning of models of some complex processes, that we propose, in order to construct some of them at the biotechnical level and manipulate them (certainty through certainty). We define them and then certain approaches to them. Although their manipulation can be carried out with uncertainty and this quite naturally follows from their nature.
