The existence of polynomials which are unrepresentable in Kolmogorov-Arnold superposition representation

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Results in Nonlinear Analysis
Volume:1 Issue:2
The existence of polynomials which are unrepresentable in Kolmogorov-Arnold superposition representa...

The existence of polynomials which are unrepresentable in Kolmogorov-Arnold superposition representation

Authors : Shigeo AKASHİ

Pages : 58-64

View : 9 | Download : 5

Publication Date : 2018-08-31

Article Type : Research Paper

Abstract :In this paper, it is proved that there exist polynomials of three complex variables which cannot be represented as any Kolmogorov-Arnold superposition, which has played important roles in the original version of Hilbert\`s 13th problem.
Keywords : Hilbert\`s 13th problem, superposition representation, \\varepsilon entropy

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