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The provisions of the concept of a multi-component vector physical value are given, which base on an understanding as objects displacement pro- cesses structured complex processes and can be sources of various factors in- cluding independent ones. The multi-component model of moving objects mo- tion containing informative components were presented in the general form. The problem of measuring these informative components was formulated and the fundamentals of the named optical measurement values were presented on the basis of the multi-dimensional method of testing facilities are presented. Questions about choice of calculation and measuring models of object have of key importance for the successful solution of the problem of measurement of informative components of complex movements of moving objects. The complexity of the objects and processes, leads to different in appearance and information content of displace- ments and deformations, and requires study and development of a common ideology of their modeling. The lack of united information and mathematical models of con- trolled processes complicates the qualitative and quantitative selection of measure- ment methods and tools, as well as the processing of the results. If the monitored objects and associated processes have complex character and/or structure, that the movement, which is their consequence, himself will be character- ized by a certain structure, elements of which are connected to each other in any way, they are in communication, have a mutual influence on each other and bear additional information about the studied phenomenon or object. Understanding of the processes of displacement simple objects and even complex objects like complex structured processes, the sources of which may be different, including the independent factors, led to the realization of the need to formulate the concept of a multi-component vector physical quantity (1). In this case, the concept is used to describe complex multi-movement of moving objects.

MATHEMATICAL MODELING OF COMPLEX MULTI-COMPONENT MOVEMENTS AND OPTICAL METHOD OF MEASUREMENT