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UMEC - Non Iterative Math

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  • Young, Christopher M

Abstract

The Universal Mathematical Entropy Computation (UMEC) framework introduces a transformative approach to numerical analysis by employing a non-iterative, self-resolving computational methodology. Traditional numerical methods for stability analysis, optimization, and quantum computation typically rely on iterative algorithms that require extensive computational cycles to achieve convergence. These approaches not only consume significant computational resources but also encounter instability, particularly in complex or chaotic systems. UMEC overcomes these limitations by utilizing entropy-weighted modulation, universal weighting functions, and harmonic resonance principles within self-contained mathematical formulations. By eschewing incremental adjustments, UMEC directly resolves solutions through entropy-scaled transformations, ensuring immediate stability, convergence, and precision. This innovative framework represents a significant advancement in computational efficiency and reliability, applicable across various fields including physics, engineering, artificial intelligence, and advanced mathematics.

Suggested Citation

  • Young, Christopher M, 2025. "UMEC - Non Iterative Math," OSF Preprints s8acj_v1, Center for Open Science.
    • Handle: RePEc:osf:osfxxx:s8acj_v1
    DOI: 10.31219/osf.io/s8acj_v1
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