Formula_20323

\[\begin{gathered}f:\left(x^{(1)}, x^{(2)}, \ldots, x^{(k)}\right) \mapsto\left(f_{1}\left(x^{(1)}\right), f_{2}\left(x^{(1)}, x^{(2)}\right), \ldots,\right. \\\left.\ldots, f_{k}\left(x^{(1)}, x^{(2)}, \ldots, x^{(k)}\right)\right),\end{gathered}\]