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This paper proves that EML trees, which represent elementary functions through composition, are universal approximators for continuous functions and other functional spaces. The proof constructs EML representations of basic operations and uses them as building blocks.
A paper proves that all elementary functions like sin, exp, log, sqrt can be generated from a single binary operator eml(x,y)=exp(x)-ln(y), similar to how NAND gates unify digital logic. This could simplify AI architectures by enabling a single trainable node for continuous mathematics.