AI & Computingpreprint2026-09-19

From Proportional Rectangles to Sampled Analog Root Computation

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Abstract

We study a modern proportional-rectangle construction for positive integer-degree roots andits translation into a sampled analog computing architecture. A fixed support realizes reciprocal Newtoniteration. Replacing it by a moving line through a constructible anchor gives.

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View paper (DOI)Open access version OpenAlexZenodo (CERN European Organization for Nuclear Research)Published 2026-09-19

Authors: Ivan Beševic

Polynomial and algebraic computation Cryptography and Residue Arithmetic Numerical Methods and Algorithms