On Hilbert's 13th Problem

2009/09/24 by Feng, Ziqin, Gartside, Paul · 1 citation
#26B40 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #General Topology (math.GN)

paper · doi:10.48550/arxiv.0909.4561

Abstract

Every continuous function of two or more real variables can be written as the superposition of continuous functions of one real variable along with addition.

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• Explicit Construction of Approximate Kolmogorov-Arnold Superpositions with C2-Smoothness

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