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"Pattern recognition" is a field of techniques for distinguishing significant phenomena, for determining on the whether a phenomenon is a known type or into a number of groups, etc. cybernetics which develops common properties of some basis of these properties not, for clustering phenomena into a number of groups, etc. Pattern is a name of a set of objects or phenomena distinguished according to a specific problem, bearing resemblance to each other and differing from the objects of other sets. Depending on the specific objective of the research one and the same pair of objects may be related to one pattern or to different ones. The hypothesis of "the simplicity of structural regularities" assumes the construction of a decision rule describing special features in the structure of the set of points in the given pattern. The points may be by no means "solidly" beside each other, but if there is some regularity in their array it should attract the attention. In order to secure the regularity against the influence of arbitrariness because of choosing scales of devices which measure properties, the isomorphism between the considered system with relations and the numerical model of this system is required.