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critical-points

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📐 The computational project aims to analyze polynomials of degree less than or equal to 3 in the form 𝑝(𝑥) = 𝑎₀ + 𝑎₁𝑥 + 𝑎₂𝑥² + 𝑎₃𝑥³ and extract their real roots, as well as their critical points. To achieve this, a total of 11 main methods were developed, based on Bolzano's theorem

  • Updated Apr 8, 2026
  • C#

This repository presents a minimal early‑warning method for failure detection. Before structural failure, the number of critical points in the signal increases. By extracting raw, smoothed, and critical‑point sequences, and tracking the critical‑point time series, structural changes can be quantified as an early signal.

  • Updated Aug 11, 2026

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