Geodesic
Criteria of expressibility of CPL-functions in generalized bases
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2025), pp. 88-90

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In the paper, circuits obtained by superpositions over bases consisting of arbitrary subsets of particle-linear functions are studied, and criteria for the expressibility of an arbitrary particle-linear continuous function over such bases is proved. Estimates of the linear complexity and nonlinear dependence of the resulting circuits are given. 
@article{VMUMM_2025_2_a14,
     author = {V. G. Shishlyakov},
     title = {Criteria of expressibility of {CPL-functions} in generalized bases},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {88--90},
     publisher = {mathdoc},
     number = {2},
     year = {2025},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2025_2_a14/}
}
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V. G. Shishlyakov. Criteria of expressibility of CPL-functions in generalized bases. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2025), pp. 88-90. http://geodesic.mathdoc.fr/item/VMUMM_2025_2_a14/