Abstracts

Cybernetiks

Let $X$ is a set supplied by structure ~cite{brbtm} $sigma$ of kind $Sigma$. A subset $U$ of the $X$ is treated as a `picture'. Image of the picture $U$ is assumed some assemble of such properties of the $U$ which is preserved by action of isomorphisms of $Sigma$-object $(X,sigma)$. The means of geometric theory of decomposition ~cite{pvls} permit to develop methods of creation of images of pictures in some extend independently from structure kind $Sigma$: preservation of decomposition structure of $U$ over $(X,sigma)$ by isomorphisms of $Sigma$-object is a simple consequence of definition. The images of the subsets of two-dimensional affine space is used as example.

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©2001, Siberian Branch of Russian Academy of Science, Novosibirsk
©2001, United Institute of Computer Science SB RAS, Novosibirsk
©2001, Institute of Computational Techologies SB RAS, Novosibirsk
©2001, A.P. Ershov Institute of Informatics Systems SB RAS, Novosibirsk
©2001, Institute of Mathematics SB RAS, Novosibirsk
©2001, Institute of Cytology and Genetics SB RAS, Novosibirsk
©2001, Institute of Computational Mathematics and Mathematical Geophysics SB RAS, Novosibirsk
©2001, Novosibirsk State University
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