Resotectors — Equations

Equations governing detection thresholds and spectral resonance mapping.

Equation 1: Resonance Detection Threshold#

$$ T_r = \mu_s + k \sigma_s $$

Variables:

• ( T_r ) — resonance threshold
• ( \mu_s ) — mean signal amplitude
• ( \sigma_s ) — standard deviation of noise
• ( k ) — safety factor

Context: Sets the minimum detectable signal level for reliable resonance identification.

Narrative hook: Separating the song of the spectrum from the whispers of the void.