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Applied Physics and Mathematics Annotation << Back
SYMMETRY OF STRUCTURES ON THE PLANE AND IN SPACE |
M.I. GORFINKEL
Mathematical functions and equations are analyzed as structures as structures, which include elements and ties among them; variable quantities and parameters. Ties between elements are characterized by stability, and elements themselves are characterized by the stability to changing . The structures on the plane in coordinates x, y are transformed into symmetrical spatial structures in coordinates x, y, z. Ties among elements under transformations of the structure are preserved, but the elements themselves are added and changed. Under structures transformations are preserved, but elements one added, changed. A new variable z is the supplement which change the parameter of the equation or independent variable x. As a result a new spatial structure is formed in which invariant and variant produce an entire unity. These spatial structures serve a means of the reality cognition, thing it is impossible to say beforehand, when prototypes of new structure will be.
Key words: spatial structure, conservation under changing, unity invariant and variant.
Contacts: E-mail: cancel@baa.by
Pp. 18-21. |
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