The Mathematical Architecture Behind «Big Bass Splash»
a) Gauss’s Sum: A Convergence Pulse in Signal Analysis Gauss’s sum, defined as Σₙ₌₀^∞ e⁻ⁿ cos(nθ), is more than a number-theoretic curiosity—it is a cornerstone of spectral analysis. This Dirichlet series converges smoothly due to the exponential damping e⁻ⁿ, making it ideal for resolving oscillatory components in time-series data. In systems like «Big Bass Splash», […]
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