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All elementary functions from a single binary operator

A single binary operator (eml) generates all elementary mathematical functions, enabling gradient-based symbolic regression to recover exact closed-form functions directly from numerical data.

Monday, April 13, 2026 12:00 PM UTC2 MIN READSOURCE: Hacker NewsBY sys://pipeline

A mathematical discovery reveals that the binary operator eml(x,y) = exp(x) − ln(y), combined with the constant 1, generates all elementary mathematical functions (sin, cos, sqrt, log, and constants like π and e). The operator's uniform binary-tree structure enables gradient-based symbolic regression using standard optimizers, allowing exact recovery of closed-form functions from numerical data.

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