| viXra.org > Number Theory > viXra:2603.0092 |
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| viXra.org > Number Theory > viXra:2603.0092 |
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Number Theory |
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Authors: Authman Jassim Mohammed
A common challenge in discrete mathematics and numerical analysis is translating discrete, rule-based algorithms into continuous algebraic functions. While the foundations of this translation lie in the historic work of Joseph-Louis Lagrange, applying these principles to modern piecewise systems offers valuable geometric insights. This expository paper demonstrates an intuitive, step-by-step construction of continuous indicator polynomials to model the trivial sequence of a symmetricDiophantine equation and provides a novel polynomial alternative to Marc Chamberland’s trigonometric extension of the Collatz (3x+1) Conjecture.
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[v1] 2026-03-19 01:48:42
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