Engineering Physics Annotation << Back System of properties and structures as the group of symmetry Gorfinkel M.I. The structure adds the explanation of the interaction between property to the description of the property dynamics. The dynamics of property is represented by the components fi(x). The structure is built as a transformation of the components into the elements yi, well-known and common characteristics are used for the description of the elements: mean, dispersion and structures. In mathematical statistics these characteristics are linked with a single certain property obtaining n values; in the system of properties and structures the same characteristics are not linked with one property, but to n properties obtaining only one value. Under the inverse transformation the elements are transformed into components, and mean quantity, dispersion and structures – into new laws and structures, including components. The principle of system hierarchy permits to consider as components of subsystems relative to above mentioned system in coordinates x, y, z with new components and laws. Properties and structure system is invariant relative to the transformation of the system of coordinates and creates the group of symmetry. The system of properties and structures corresponds to the demand of simplicity and depth, it is suitable to different objects. Key words: hierarchy of system, coordinate transformation, invariants as conservation under changing. Contacts: E-mail: jaina@tut.by Pp. 13-15.