PECULIARITIES OF UNITS CONVERSION IN DUAL NETWORKS

Petrov Andrey Evgenyevich, Professor of Department of Computer aided design and engineering design, Ph.D &D.Sc., Professor, National University of Science and Technology MISIS (NUST MISIS), Department of Computer aided design and engineering design

Abstract

To create digital models of technical, economic systems, the tensor method of calculating processes is used when the structure of the connection of elements changes, which is necessary in conditions of change. Calculation of processes when the structure changes provides the duality invariant, which means that the sum of the metric tensors of dual networks is constant when the structure changes. The components of the processes in the system change with the help of path transformation matrices when the structure changes. This is analogous to the transformation of the tensor components when changing the coordinate system. The article considers the change in the impact values, metrics and response when changing the structure of dual networks, as well as the unsolved problem of duality of non-planar graphs.

KEYWORDS: network model, tensor method, path transformation matrices, duality invariant, nonplanar graphs.

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