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- W1480813044 abstract "A subset $M subset textbf{R}^3$ is called a emph{basic subset}, if for any funciton $f colon M to textbf{R}$ there exist such functions $f_1; f_2; f_3 colon textbf{R} to textbf{R}$ that $f(x_1, x_2, x_3) = f_1(x_1) + f_2(x_2) + f_3(x_3)$ for each point $(x_1, x_2, x_3)in M$. In this article we prove a criterion for a basic subset for some specific subsets in terms of some graph properties. We also introduce several constructions for mimimal non-basic subsets. The article is written in Russian." @default.
- W1480813044 created "2016-06-24" @default.
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- W1480813044 date "2014-12-27" @default.
- W1480813044 modified "2023-09-27" @default.
- W1480813044 title "Decomposition of number arrangements in the cube" @default.
- W1480813044 hasPublicationYear "2014" @default.
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